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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549
FORM 10-K
ANNUAL REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
OR
TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
For the Fiscal Year EndedDecember 31, 2023
Commission File No.
001-16209
archlogorgbsolida41.jpg
ARCH CAPITAL GROUP LTD.
(Exact name of registrant as specified in its charter)
Bermuda98-0374481
(State or other jurisdiction of incorporation or organization)(I.R.S. Employer Identification No.)
Waterloo House, Ground Floor
100 Pitts Bay Road,PembrokeHM 08,Bermuda(441)278-9250
(Address of principal executive offices)(Registrant’s telephone number, including area code)

Securities registered pursuant to Section 12(b) of the Exchange Act:
Title of each classTrading Symbol (s)Name of each exchange on which registered
Common Shares, $0.0011 par value per shareACGLNasdaqStock Market
Depositary shares, each representing a 1/1,000th interest in a 5.45% Series F preferred share
ACGLO
NasdaqStock Market
Depositary shares, each representing a 1/1,000th interest in a 4.55% Series G preferred share
ACGLN
NasdaqStock Market

Securities registered pursuant to Section 12(g) of the Exchange Act: None

Indicate by check mark if the registrant is a well-known seasoned issuer, as defined in Rule 405 of the Securities Act. Yes ☑ No
Indicate by check mark if the registrant is not required to file reports pursuant to Section 13 or Section 15(d) of the Exchange Act.
Yes      No

Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Exchange Act during the preceding 12 months (or for such shorter period that the registrant was required to file such reports), and (2) has been subject to such filing requirements for the past 90 days. Yes ☑ No
Indicate by check mark whether the registrant has submitted electronically every Interactive Data File required to be submitted pursuant to Rule 405 of Regulation S-T (§232.405 of this chapter) during the preceding 12 months (or for such shorter period that the registrant was required to submit such files). Yes ☑ No
Indicate by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, a smaller reporting company, or an emerging growth company. See the definitions of “large accelerated filer,” “accelerated filer,” “smaller reporting company,” and “emerging growth company” in Rule 12b-2 of the Exchange Act.
Large accelerated Filer ☑ Accelerated Filer Non-accelerated Filer Smaller reporting company Emerging Growth Company
If an emerging growth company, indicate by check mark if the Registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act. ☐
Indicate by check mark whether the registrant has filed a report on and attestation to its management's assessment of the effectiveness
of its internal control over financial reporting under Section 404(b) of the Sarbanes-Oxley Act (15 U.S.C. 7262(b)) by the registered
public accounting firm that prepared or issued its audit report.
If securities are registered pursuant to Section 12(b) of the Act, indicate by check mark whether the financial statements of the registrant included in the filing reflect correction of an error to previously issued financial statements.
Indicate by check mark whether any of those error corrections are restatements that required a recovery analysis of incentive-based compensation received by any of the registrant’s executive officers during the relevant recovery period pursuant to §240.10D-1(b).
Indicate by check mark whether the registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act). Yes No ☑
The aggregate market value of the voting and non-voting common equity held by non-affiliates, computed by reference to the closing price as reported by the Nasdaq Stock Market as of the last business day of the Registrant’s most recently completed second fiscal quarter, was approximately $26.9 billion.
As of February 16, 2024, there were 374,151,215 of the registrant’s common shares outstanding.
DOCUMENTS INCORPORATED BY REFERENCE
Portions of Part III and Part IV incorporate by reference our definitive proxy statement for the 2024 annual meeting of shareholders to be filed with the Securities and Exchange Commission pursuant to Regulation 14A within 120 days after December 31, 2023.



ARCH CAPITAL GROUP LTD.
TABLE OF CONTENTS
ItemPage
PART I
ITEM 1.
ITEM 1A.
ITEM 1B.
ITEM 1C.
ITEM 2.
ITEM 3.
ITEM 4.
PART II
ITEM 5.
ITEM 6.
ITEM 7.
ITEM 7A.
ITEM 8.
ITEM 9.
ITEM 9A.
ITEM 9B.
ITEM 9C.
PART III
ITEM 10.
ITEM 11.
ITEM 12.
ITEM 13.
ITEM 14.
PART IV
ITEM 15.
ITEM 16.




Cautionary Note Regarding Forward-Looking Statements 
The Private Securities Litigation Reform Act of 1995 (“PSLRA”) provides a “safe harbor” for forward-looking statements. This report or any other written or oral statements made by or on behalf of us may include forward-looking statements, which reflect our current views with respect to future events and financial performance. All statements other than statements of historical fact included in or incorporated by reference in this report are forward-looking statements. Forward-looking statements, for purposes of the PSLRA or otherwise, can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” and similar statements of a future or forward-looking nature or their negative or variations or similar terminology.
Forward-looking statements involve our current assessment of risks and uncertainties. Actual events and results may differ materially from those expressed or implied in these statements. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed below and elsewhere in this report and in our periodic reports filed with the Securities and Exchange Commission (“SEC”), and include:
our ability to successfully implement our business strategy during “soft” as well as “hard” markets;
acceptance of our business strategy, security and financial condition by rating agencies and regulators, as well as by brokers and our insureds and reinsureds;
our ability to consummate acquisitions and integrate the business we have acquired or may acquire into our existing operations;
our ability to maintain or improve our ratings, which may be affected by our ability to raise additional equity or debt financings, by ratings agencies’ existing or new policies and practices, as well as other factors described herein;
general economic and market conditions (including inflation, interest rates, unemployment, housing prices, foreign currency exchange rates, prevailing credit terms and the depth and duration of a recession, including those resulting from COVID-19) and conditions specific to the reinsurance and insurance markets in which we operate;
competition, including increased competition, on the basis of pricing, capacity (including alternative sources of capital), coverage terms, or other factors;
developments in the world’s financial and capital markets and our access to such markets;
our ability to successfully enhance, integrate and maintain operating procedures (including information technology) to effectively support our current and new business;
the loss and addition of key personnel;
material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements;
accuracy of those estimates and judgments utilized in the preparation of our financial statements, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, investment valuations, intangible assets, bad debts, income taxes, deferred income tax assets, contingencies and litigation, and any determination to use the deposit method of accounting;
greater than expected loss ratios on business written by us and adverse development on claim and/or claim expense liabilities related to business written by our insurance and reinsurance subsidiaries;
the adequacy of the Company’s loss reserves;
severity and/or frequency of losses;
greater frequency or severity of unpredictable natural and man-made catastrophic events;
claims for natural or man-made catastrophic events or severe economic events in our insurance, reinsurance and mortgage businesses could cause large losses and substantial volatility in our results of operations;
the effect of climate change on our business;
the effect of contagious diseases (including COVID-19) on our business;
acts of terrorism, geopolitical political unrest and other regional and global hostilities or other unforecasted and unpredictable events;

ARCH CAPITAL
1
2023 FORM 10-K


availability to us of reinsurance to manage our gross and net exposures and the cost of such reinsurance;
the failure of reinsurers, managing general agents, third party administrators or others to meet their obligations to us;
the timing of loss payments being faster or the receipt of reinsurance recoverables being slower than anticipated by us;
our investment performance, including legislative or regulatory developments that may adversely affect the fair value of our investments;
changes in general economic conditions, including sovereign debt concerns or downgrades of U.S. securities by credit rating agencies, which could affect our business, financial condition and results of operations;
the volatility of our shareholders’ equity from foreign currency fluctuations, which could increase due to us not matching portions of our projected liabilities in foreign currencies with investments in the same currencies;
changes in accounting principles or policies or in our application of such accounting principles or policies;
changes in the political environment of certain countries in which we operate or underwrite business;
an incident, disruption in operations or other cyber event caused by cyber attacks, the use of artificial intelligence technologies or other technology on our systems or those of our business partners and service providers, which could negatively impact our business and/or expose us to litigation;
statutory or regulatory developments, including as to tax matters and insurance and other regulatory matters such as the adoption of legislation that affects Bermuda-headquartered companies and/or Bermuda-based insurers or reinsurers and/or changes in regulations or tax laws applicable to us, our subsidiaries, brokers or customers, including the implementation of the Organization for Economic Cooperation and Development (“OECD”) Pillar I and Pillar II initiatives and the enactment of Bermuda corporate income tax; and
the other matters set forth under Item 1A “Risk Factors,” Item 7 “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and other sections of this Annual Report on Form 10-K, as well as the other factors set forth in Arch Capital Group Ltd.’s other documents on file with the SEC, and management’s response to any of the aforementioned factors.
All subsequent written and oral forward-looking statements attributable to us or persons acting on our behalf are expressly qualified in their entirety by these cautionary statements. The foregoing review of important factors should not be construed as exhaustive and should be read in conjunction with other cautionary statements that are included herein or elsewhere. We undertake no obligation to publicly update or revise any forward-looking statement, whether as a result of new information, future events or otherwise.


ARCH CAPITAL
2
2023 FORM 10-K


PART I
ITEM 1. BUSINESS
As used in this report, references to “we,” “us,” “our,” “Arch” or the “Company” refer to the consolidated operations of Arch Capital Group Ltd. (“Arch Capital”) and its subsidiaries. All amounts are in millions, except per share amounts, unless otherwise noted. We refer you to Item 1A “Risk Factors” for a discussion of risk factors relating to our business.
OUR COMPANY
General
Arch Capital is a publicly listed Bermuda exempted company with approximately $21.1 billion in capital at December 31, 2023 and is part of the S&P 500 index. Arch provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries. While we are positioned to provide a full range of property, casualty and mortgage insurance and reinsurance lines, we focus on writing specialty lines of insurance and reinsurance. For 2023, we wrote $13.5 billion of net premiums and reported net income available to Arch common shareholders of $4.4 billion. Book value per share was $46.94 at December 31, 2023, compared to $32.62 per share at December 31, 2022.
Arch Capital’s registered office is located at Clarendon House, 2 Church Street, Hamilton HM 11, Bermuda (telephone number: (441) 295-1422), and its principal executive offices are located at Waterloo House, Ground Floor, 100 Pitts Bay Road, Pembroke HM 08, Bermuda (telephone number: (441) 278-9250). Arch Capital makes available free of charge through its website, located at www.archgroup.com, its annual reports on Form 10-K, quarterly reports on Form 10-Q, current reports on Form 8-K, and all amendments to those reports as soon as reasonably practicable after such material is electronically filed with, or furnished to, the U.S. Securities and Exchange Commission (“SEC”). The SEC maintains an Internet site that contains reports, proxy and information statements, and other information regarding issuers that file electronically with the SEC (such as Arch Capital) and the address of that site is www.sec.gov.
Our History
Arch Capital was formed in September 2000 and became the sole shareholder of Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) pursuant to an internal reorganization transaction completed in November 2000. In October 2001, Arch Capital launched an underwriting initiative to meet current and future demand in the global insurance and reinsurance markets that included the recruitment of new management teams and an equity capital infusion of $763.2 million, which created a strong capital base that was unencumbered by significant pre-2002 risks. Since then, we have attracted a proven management team with extensive industry experience and continued to build our global underwriting platform for our insurance, reinsurance and mortgage insurance businesses.
Our insurance underwriting platform initially consisted of our Bermuda and U.S. operations, followed by the establishment of our United Kingdom-based carrier, Arch Insurance (U.K.) Limited (“Arch Insurance (U.K.)”) in 2004 and Canadian operations in 2005. In 2009, we established a managing agency and syndicate at Lloyd’s of London (“Lloyd’s”) and significantly expanded our U.K. presence in 2019 through the acquisition of Barbican Group Holdings Limited (“Barbican Holdings”) and its subsidiaries (collectively, “Barbican”). Our U.S. platform grew with the 2018 acquisition of McNeil & Company, Inc. (“McNeil”), a U.S. nationwide leader in specialized risk management and program administration. See “Operations—Insurance Operations” for further details on our insurance operations.
Our reinsurance underwriting platform initially consisted of Arch Reinsurance Ltd. in Bermuda (“Arch Re Bermuda”) and Arch Reinsurance Company (“Arch Re U.S.”), our U.S.-licensed reinsurer. Our European reinsurance operations commenced in 2006 in Zurich, Switzerland followed by the formation of a Danish underwriting agency in 2007. In addition to the U.S. reinsurance treaty activities of Arch Re U.S., we launched our property facultative reinsurance underwriting operations in 2007, which underwrite in the U.S., Canada and Europe. In 2008, we formed Arch Reinsurance Europe Designated Activity Company (“Arch Re Europe”), our Ireland-based reinsurance company headquartered in Ireland with offices in Switzerland and the U.K. The acquisition of Barbican in 2019 also contributed to our reinsurance operations. In 2021, Arch Re Bermuda completed the acquisition of Somerset Bridge Group Limited, Southern Rock Holdings Limited and affiliates (“Somerset Group”). The acquisition included Somerset’s Group’s motor insurance managing general agent, distribution capabilities

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through direct and aggregator channels, affiliated insurer and fully integrated claims operation. See “Operations—Reinsurance Operations” for further details on our reinsurance operations.
Our mortgage operations include U.S. and international mortgage insurance and reinsurance operations, as well as participation in government sponsored enterprise (“GSE”) credit risk-sharing transactions. The U.S. mortgage platform was established in 2014 and expanded greatly in 2016 through the acquisition of United Guaranty Corporation (“UGC”). Our U.S. primary mortgage operations provide mortgage insurance products and services to the U.S. market. These operations include providers which are also approved as eligible mortgage insurers by Federal National Mortgage Association (“Fannie Mae”) and Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a GSE. The mortgage operations also include participation in GSE credit risk-sharing transactions and direct mortgage insurance to U.S. mortgage lenders with respect to mortgages that lenders intend to retain in portfolio or include in non-agency securitizations along with mortgage insurance and reinsurance on a global basis. The majority of our European business is written through our Ireland-based carrier, Arch Insurance (EU) Designated Activity Company (“Arch Insurance (EU)”), which was authorized in 2011 to provide mortgage insurance products and services to the European and U.K. markets. In 2019, Arch LMI Pty Ltd. (“Arch LMI”) was authorized by the Australian Prudential Regulation Authority (“APRA”) to write lenders’ mortgage insurance on a direct basis in Australia. We expanded our presence in Australia in August 2021 by acquiring Westpac Lenders Mortgage Insurance Limited, another APRA approved writer of lenders’ mortgage insurance, which has since been renamed Arch Lenders Mortgage Indemnity Ltd. (“Arch Indemnity”). In December 2022, we converted Arch LMI into a services company for our Australian LMI operations and the company relinquished its APRA authorization. See “Operations—Mortgage Operations” for further details on our mortgage operations.
It is our belief that our underwriting platform, our experienced management team and our strong capital base have enabled us to establish a strong presence in the markets in which we participate.
In 2014, we acquired approximately 11% of Somers Holdings Ltd. (formerly Watford Holdings Ltd.). Somers Holdings Ltd. is the parent of Somers Re Ltd. (formerly Watford Re Ltd.), a multi-line Bermuda reinsurance company (together with Somers Holdings Ltd., “Somers”). In the 2020 fourth quarter, Arch Capital, Somers, and Greysbridge Ltd., a wholly-owned subsidiary of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). Arch Capital assigned its rights under the Merger Agreement to Greysbridge Holdings Ltd.
(“Greysbridge”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by Arch, 30% by certain funds managed by Kelso & Company (“Kelso”) and 30% by certain funds managed by Warburg Pincus LLC (“Warburg”). In 2017, we acquired approximately 25% of Premia Holdings Ltd. Premia Holdings Ltd. is the parent of Premia Reinsurance Ltd., a multi-line Bermuda reinsurance company (together with Premia Holdings Ltd., “Premia”). In 2021, a Company completed the share purchase agreement with Natixis, a French financial services firm, to purchase 29.5% of the common equity of Coface SA (“Coface”), a France-based leader in the global trade credit insurance market. See “Operations—Other Operations” for further details on Somers, Premia and Coface.
The Board of Directors of Arch Capital (the “Board”) has authorized the investment in Arch Capital’s common shares through a share repurchase program. Repurchases under the share repurchase program may be effected from time to time in open market or privately negotiated transactions through December 31, 2024. Since the inception of the share repurchase program in February 2007 through December 31, 2023, Arch Capital has repurchased 433.6 million common shares for an aggregate purchase price of $5.9 billion. At December 31, 2023, the total remaining authorization under the share repurchase program was $1.0 billion. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including results of operations, market conditions and the development of the economy, as well as other factors. We will consider share repurchases on an opportunistic basis. During the 2023 fiscal year, we did not repurchase any shares under our share repurchase program.
OPERATIONS
We classify our businesses into three underwriting segments – insurance, reinsurance and mortgage and two operating segments – corporate and ‘other.’ For an analysis of our underwriting results by segment, see note 4, “Segment Information,” to our consolidated financial statements in Item 8 and “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Results of Operations.”
Insurance Operations
Our insurance operations are conducted in Bermuda, the U.S, the U.K., Europe, Canada, and Australia. Our insurance operations in Bermuda are conducted through Arch Insurance (Bermuda), a division of Arch Re Bermuda, and Alternative Re Limited.

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In the U.S., our insurance group’s principal insurance subsidiaries are Arch Insurance Company (“Arch Insurance”), Arch Specialty Insurance Company (“Arch Specialty”), Arch Indemnity Insurance Company (“Arch Indemnity Insurance”) and Arch Property Casualty Insurance Company (“Arch P&C”). Arch Insurance is an admitted insurer in 50 states, the District of Columbia, Puerto Rico, the U.S. Virgin Islands and Guam. Arch Specialty is an approved excess and surplus lines insurer in 50 states, the District of Columbia, Puerto Rico and the U.S. Virgin Islands and an authorized insurer in one state. Arch Indemnity Insurance is an admitted insurer in 50 states and the District of Columbia. Arch P&C, which is not currently writing business, is an admitted insurer in 44 states and the District of Columbia and is filing applications for admission in all remaining states where it is not yet admitted. Our insurance group also operates McNeil, a specialized risk manager and a program administrator based in Cortland, New York. The headquarters for our insurance group’s U.S. support operations (excluding underwriting units) are in Jersey City, New Jersey. The insurance group has offices throughout the U.S., including five regional offices located in Alpharetta, Georgia; Chicago, Illinois; New York, New York; San Francisco, California; Dallas, Texas and additional branch offices.
Our insurance operations in Canada are conducted through Arch Insurance Canada Ltd. (“Arch Insurance Canada”), a Canada domestic company which is authorized in all Canadian provinces and territories. Arch Insurance Canada is headquartered in Toronto, Ontario.
In 2019, Arch Insurance (EU), based in Dublin, Ireland, received authorization from the Central Bank of Ireland (“CBI”) to expand its authorized classes of business as part of our plan to address the U.K.’s departure from the European Union (“Brexit”). At the end of 2020, Arch Insurance (U.K.) received court approval in the U.K. to transfer its legacy book of business written in the European Economic Area (“EEA”) to Arch Insurance (EU) under Part VII of the U.K. Financial Services and Markets Act 2000. From January 2020, all of the insurance business in the European Union (“EU”) previously written by Arch Insurance (U.K.) is now written through Arch Insurance (EU). Arch Insurance (EU) has branches in Italy, France, Spain and the U.K.
We conduct insurance operations on several platforms in the U.K., including Arch Insurance (U.K.) and our Lloyd’s syndicates: Arch Syndicate 2012 (“Arch Syndicate 2012”) and Arch Syndicate 1955 (“Arch Syndicate 1955” and, together with Arch Syndicate 2012, our “Lloyd’s Syndicates”). Arch Managing Agency Limited (“AMAL”) is the managing agent of our Lloyd’s Syndicates. These operations provide us access to Lloyd’s extensive distribution network and worldwide licenses. AMAL also acts as managing agent for third party members of Arch Syndicate
1955. Arch Underwriting at Lloyd’s (Australia) Pty Ltd, based in Sydney, Australia, is a Lloyd’s services company which underwrites exclusively for our Lloyd’s Syndicates. Collectively, the U.K. insurance operations are referred to as “Arch U.K.” Arch U.K. conducts its operations from London and other locations in the U.K. In December 2023, we signed an agreement for the sale of Castel Underwriting Agencies Limited, a managing general agency in the U.K. that we acquired as part of the Barbican acquisition. The sale is expected to close in the first half of 2024, subject to regulatory approvals and other closing conditions.
Strategy. Our insurance group’s strategy is to operate in lines of business in which underwriting expertise can make a meaningful difference in operating results. The insurance group focuses on talent-intensive rather than labor-intensive business and seeks to operate profitably (on both a gross and net basis) across all of its product lines. To achieve these objectives, our insurance group’s operating principles are to:
Capitalize on profitable underwriting opportunities. Our insurance group believes that its experienced management and underwriting teams are positioned to locate and identify business with attractive risk/reward characteristics. As profitable underwriting opportunities are identified, our insurance group will continue to grow its product portfolio in order to take advantage of market trends. This includes adding underwriting and other professionals with specific expertise in specialty lines of insurance.
•    Centralize responsibility for underwriting. Our insurance group consists of a range of product lines. The underwriting executive in charge of each product line oversees all aspects of the underwriting product development process within such product line. Our insurance group believes that centralizing the control of such product line with the respective underwriting executive allows for close management of underwriting and creates clear accountability for results. Our U.S. insurance group has five regional offices, and the executive in charge of each region is primarily responsible for all aspects of the marketing and distribution of our insurance group’s products, including the management of broker and other producer relationships in such executive’s respective region. In our non-U.S. offices, a similar philosophy is observed, with responsibility for the management of each product line residing with the senior underwriting executive in charge of such product line.
•    Maintain a disciplined underwriting philosophy. Our insurance group’s underwriting philosophy is to generate an underwriting profit through prudent risk selection and proper pricing. Our insurance group believes that the key to this approach is adherence to uniform underwriting

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standards across all types of business. Our insurance group’s senior management closely monitors the underwriting process.
•    Focus on providing superior claims management. Our insurance group believes that claims handling is an integral component of credibility in the market for insurance products. We believe our ability to handle claims expeditiously and satisfactorily is a key to our success. Our insurance group employs experienced claims professionals and also utilizes experienced external claims managers (third party administrators) where appropriate.
•    Promote and utilize an efficient distribution system. Our insurance group believes that promoting and utilizing a multi-channel distribution system provides efficient access to its broad customer base. We work with select international, national and regional retail and wholesale brokers and leading managing general agencies and program administrators, including McNeil, to distribute our insurance products. The Arch U.K. regional division has a retail distribution network in the U.K.
Grow strategic partnerships or acquire strategic businesses in stable and niche areas. Our insurance group aims to build more integrated long-term alignment with strategic partners offering superior access to niche opportunities, quality scalable businesses, or lines with reliable defensive qualities. We may grow existing partnerships or look to acquire businesses which further this strategy.
Our insurance group writes business in the U.S. on both a U.S. admitted and U.S. non-admitted basis. Our insurance group focuses on various specialty lines, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.
Underwriting Philosophy. Our insurance group’s underwriting philosophy is to generate an underwriting profit (on both a gross and net basis) through prudent risk selection and proper pricing across all types of business. One key to this philosophy is the adherence to uniform underwriting standards across each product line that focuses on the following:
•    risk selection;
•    desired attachment point;
•    limits and retention management;
•    due diligence, including financial condition, claims history, management, and product, class and territorial exposure;
•    underwriting authority and appropriate approvals; and
•    collaborative decision making.
Marketing. Our insurance group’s products are marketed principally through a group of licensed independent retail and wholesale brokers. Clients (insureds) are referred to our insurance group through a large number of international, national and regional brokers and captive managers who receive from the insured or insurer a set fee or brokerage commission usually equal to a percentage of gross premiums. Our insurance group may enter into contingent commission arrangements with some brokers that provide for the payment of additional commissions based on volume or profitability of business. Currently, some of our contracts with brokers provide for additional commissions based on volume. It is the practice for the brokers and producers to make the client aware of any contingent commission arrangements that may be in place with us. We have also entered into service agreements with select international brokers that provide access to their proprietary industry analytics. In general, our insurance group has no implied or explicit commitments to accept business from any particular broker and neither brokers nor any other third parties have the authority to bind our insurance group, except in the case where underwriting authority may be delegated contractually to select program administrators. Such administrators are subject to a financial and operational due diligence review prior to any such delegation of authority and ongoing reviews and audits are carried out as deemed necessary by our insurance group to assure the continuing integrity of underwriting and related business operations. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—We could be materially adversely affected to the extent that important third parties with whom we do business do not adequately or appropriately manage their risks, commit fraud or otherwise breach obligations owed to us.” For information on major brokers, see note 18, “Commitments and Contingencies—Concentrations of Credit Risk,” to our consolidated financial statements in Item 8.
Risk Management and Reinsurance. In the normal course of business, our insurance group may cede a portion of its premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Reinsurance arrangements do not relieve our insurance group from its primary obligations to insureds. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance subsidiaries would be liable for such defaulted amounts. Our principal insurance subsidiaries, with oversight by a group-wide reinsurance steering committee (“RSC”), are selective with regard to reinsurers, seeking to place reinsurance with only those reinsurers which meet and maintain specific standards of established criteria for financial strength. The RSC evaluates the financial viability of its reinsurers through financial analysis, research and review of rating agencies’ reports and also monitors

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reinsurance recoverables and collateral with unauthorized reinsurers. The financial analysis includes ongoing qualitative and quantitative assessments of reinsurers, including a review of the financial stability, appropriate licensing, reputation, claims paying ability and underwriting philosophy of each reinsurer. See note 8, “Reinsurance,” to our consolidated financial statements in Item 8.
For catastrophe-exposed insurance business, our insurance group seeks to limit the amount of exposure to catastrophic losses it assumes through a combination of managing aggregate limits, underwriting guidelines and reinsurance. For a discussion of our risk management policies, see “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Estimates—Ceded Reinsurance” and “Risk Factors—Risks Relating to Our Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Claims Management. Our insurance group’s claims management function is performed by claims professionals, as well as experienced external claims managers (third party administrators), where appropriate. In addition to investigating, evaluating and resolving claims, members of our insurance group’s claims departments work with underwriting professionals as functional teams in order to develop products and services desired by the group’s clients.
Reinsurance Operations
Our reinsurance operations are conducted on a worldwide basis through our reinsurance subsidiaries, Arch Re Bermuda, Arch Re U.S., Arch Syndicate 2012, Arch Syndicate 1955 and Arch Re Europe. Arch Re Bermuda is dual-licensed as a Class 4 general business insurer and Class C long-term insurer and is headquartered in Hamilton, Bermuda. Arch Re Bermuda has been approved as a “certified reinsurer” in certain U.S. states that allow reduced collateral for reinsurance ceded to such reinsurers. Arch Re Bermuda has also been approved in certain U.S. states as a “reciprocal jurisdiction reinsurer,” which allows ceding companies to eliminate collateral requirements for reinsurance ceded to such reinsurers and still take credit for that reinsurance. Arch Re U.S. is licensed or is an accredited or otherwise approved reinsurer in 50 states, the District of Columbia and Puerto Rico, the provinces of Ontario and Quebec in Canada with its principal U.S. offices in Morristown, New Jersey. Treaty and facultative operations in Canada are conducted through the Canadian branch of Arch Re U.S. (“Arch Re Canada”). Arch Re U.S. is also an admitted insurer in Guam. Our property facultative reinsurance operations are conducted primarily through Arch Re U.S. The property facultative reinsurance operations have offices throughout the U.S., Canada, Europe and the U.K.
Arch Re Europe, licensed and authorized as a non-life reinsurer and a life reinsurer, is headquartered in Dublin, Ireland with branch offices outside the EEA in Zurich and London. AMAL is the managing agent for the reinsurance operations of Arch Syndicate 2012 and Arch Syndicate 1955.
In December 2022, Arch Group Reinsurance Ltd. (“AGRL”) was registered as a Class 3A general business insurer carrying on affiliated reinsurance business pursuant to the Insurance Act of 1978 of Bermuda. AGRL, a wholly-owned subsidiary of Arch-U.S., was established to provide internal quota share reinsurance covering certain U.S. lines of business. AGRL is a U.S. taxpayer through a section 953(d) voluntary election under the Internal Revenue Code of 1986, as amended.
Strategy. Our reinsurance group’s strategy is to capitalize on our financial capacity, experienced management and operational flexibility to offer multiple products through our operations. The reinsurance group’s operating principles are to:
Actively select and manage risks. Our reinsurance group only underwrites business that meets certain profitability criteria, and it emphasizes disciplined underwriting over premium growth. To this end, our reinsurance group maintains centralized control over reinsurance underwriting guidelines and authorities.
Maintain flexibility and respond to changing market conditions. Our reinsurance group’s organizational structure and philosophy allows it to take advantage of increases or changes in demand or favorable pricing trends. Our reinsurance group believes that its existing platforms in Bermuda, the U.S., U.K., Europe and Canada, broad underwriting expertise and substantial capital facilitate adjustments to its mix of business geographically and by line and type of coverage. Our reinsurance group believes that this flexibility allows it to participate in those market opportunities that provide the greatest potential for underwriting profitability.
Maintain a low cost structure. Our reinsurance group believes that maintaining tight control over its staffing level and operating primarily as a broker market reinsurer permits it to maintain low operating costs relative to its capital and premiums.
Our reinsurance group writes business on both a proportional and non-proportional basis and writes both treaty and facultative business. In a proportional reinsurance arrangement (also known as pro rata reinsurance, quota share reinsurance or participating reinsurance), the reinsurer shares a proportional part of the original premiums and losses of the reinsured. The reinsurer pays the cedent a commission which is generally based on the cedent’s cost of acquiring the

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business being reinsured (including commissions, premium taxes, assessments and miscellaneous administrative expenses) and may also include a profit factor. Non-proportional (or excess of loss) reinsurance indemnifies the reinsured against all or a specified portion of losses on underlying insurance policies in excess of a specified amount, which is called a “retention.” Non-proportional business is written in layers and a reinsurer or group of reinsurers accepts a band of coverage up to a specified amount. The total coverage purchased by the cedent is referred to as a “program.” Any liability exceeding the upper limit of the program reverts to the cedent.
The reinsurance group’s treaty operations generally seek to write significant lines on less commoditized classes of coverage, such as specialty property and casualty reinsurance treaties. However, with respect to other classes of coverage, such as property catastrophe and casualty clash, the reinsurance group’s treaty operations participate in a relatively large number of treaties where they believe that they can underwrite and process the business efficiently. The reinsurance group’s property facultative operations write reinsurance on a facultative basis whereby they assume part of the risk under primarily single insurance contracts. Facultative reinsurance is typically purchased by ceding companies for individual risks not covered by their reinsurance treaties, for unusual risks or for amounts in excess of the limits on their reinsurance treaties.
For additional information regarding the business written by the reinsurance group, please refer to note 4, “Segment Information,” to our consolidated financial statements in Item 8.
Underwriting Philosophy. Our reinsurance group employs a disciplined, analytical approach to underwriting reinsurance risks that is designed to specify an adequate premium for a given exposure commensurate with the amount of capital it anticipates placing at risk. A number of our reinsurance group’s underwriters are also actuaries. It is our reinsurance group’s belief that employing actuaries on the front-end of the underwriting process gives it an advantage in evaluating risks and constructing a high quality book of business.
As part of the underwriting process, our reinsurance group typically assesses a variety of factors, including:
adequacy of underlying rates for a specific class of business and territory;
the reputation of the proposed cedent and the likelihood of establishing a long-term relationship with the cedent, the geographic area in which the cedent does business, together with its catastrophe exposures, and our aggregate exposures in that area;
historical loss data for the cedent and, where available, for the industry as a whole in the relevant regions, in order to compare the cedent’s historical loss experience to industry averages;
projections of future loss frequency and severity; and
the perceived financial strength of the cedent.
Marketing. Our reinsurance group generally markets its reinsurance products through brokers, except our property facultative reinsurance group, which generally deals directly with the ceding companies. Brokers do not have the authority to bind our reinsurance group with respect to reinsurance agreements, nor does our reinsurance group commit in advance to accept any portion of the business that brokers submit to them. Our reinsurance group generally pays brokerage fees to brokers based on negotiated percentages of the premiums written through such brokers. For information on major brokers, see note 18, “Commitments and Contingencies—Concentrations of Credit Risk,” to our consolidated financial statements in Item 8.
Risk Management and Retrocession. Our reinsurance group currently purchases a combination of per event excess of loss, per risk excess of loss, proportional retrocessional agreements and other structures that are available in the market. Such arrangements reduce the effect of individual or aggregate losses on, and in certain cases may also increase the underwriting capacity of, our reinsurance group. Our reinsurance group will continue to evaluate its retrocessional requirements based on its net appetite for risk. See note 8, “Reinsurance,” to our consolidated financial statements in Item 8.
For catastrophe exposed reinsurance business, our reinsurance group seeks to limit the amount of exposure it assumes from any one reinsured and the amount of the aggregate exposure to catastrophe losses from a single event in any one geographic zone. For a discussion of our risk management policies, see “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Estimates—Ceded Reinsurance” and “Risk Factors—Risks Relating to Our Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Claims Management. Claims management includes the receipt of initial loss reports, creation of claim files, determination of whether further investigation is required, establishment and adjustment of case reserves and payment of claims. Additionally, audits are conducted for both specific claims and overall claims procedures at the offices of selected ceding companies. Our reinsurance group makes use of outside consultants for claims work from time to time.

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Mortgage Operations
Our mortgage operations include mortgage insurance and reinsurance in the U.S. and internationally, as well as participation in GSE credit risk-sharing transactions. Our mortgage group includes direct mortgage insurance in the U.S. primarily through Arch Mortgage Insurance Company, United Guaranty Residential Insurance Company, and Arch Mortgage Guaranty Company (together, “Arch MI U.S.”); mortgage reinsurance primarily through Arch Re Bermuda on both a proportional and non-proportional basis globally; mortgage insurance and reinsurance in the EEA and U.K. primarily through Arch Insurance (EU), and in Australia through Arch Indemnity; and participation in various GSE credit risk-sharing products primarily through Arch Re Bermuda.
In 2014, we entered the U.S. mortgage insurance marketplace, underwriting on the Arch Mortgage Insurance Company platform. Arch Mortgage Insurance Company is licensed and operates in all 50 states, the District of Columbia and Puerto Rico. In December 2016, we completed the acquisition of UGC and its primary operating subsidiary, United Guaranty Residential Insurance Company, which is licensed and operates in all 50 states and the District of Columbia. In November 2023, we signed an agreement to acquire RMIC Companies, Inc. and its subsidiaries that together comprise the run-off mortgage insurance business of Old Republic International Corporation. The sale is expected to close in the first half of 2024, subject to regulatory approvals and other closing conditions.
Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company have each been approved as an eligible mortgage insurer by Fannie Mae and Freddie Mac, subject to maintaining certain ongoing requirements (“eligible mortgage insurer”). Arch Mortgage Guaranty Company offers direct mortgage insurance to U.S. mortgage lenders with respect to mortgages that lenders intend to retain in portfolio or include in non-agency securitizations. Arch Mortgage Guaranty Company, which is licensed in all 50 states and the District of Columbia, insures mortgages that are not intended to be sold to the GSEs, and it is therefore not approved by either GSE as an eligible mortgage insurer.
In 2019, Arch LMI was authorized by APRA to write lenders’ mortgage insurance. In August 2021, we acquired Arch Indemnity, which is also authorized by APRA to write lenders’ mortgage insurance. In December 2022, we converted Arch LMI to a services company for our Australian lenders mortgage insurance operations and the company relinquished its APRA authorization. Arch LMI and Arch Indemnity are headquartered in Sydney, Australia. Following the conversion of Arch LMI, Arch Indemnity is the primary provider of direct lenders’ mortgage insurance and reinsurance to the Australian market.
Strategy. The mortgage insurance market operates on a distinct underwriting cycle, with demand driven mainly by the housing market and general economic conditions. As a result, the creation of the mortgage group provides us with a more diverse revenue stream. Our mortgage group’s strategy is to capitalize on its financial capacity, mortgage insurance technology platform, operational flexibility and experienced management to offer mortgage insurance, reinsurance and other risk-sharing products in the U.S. and around the world.
Our mortgage group’s operating principles and goals are to:
Capitalize on profitable underwriting opportunities. Our mortgage group believes that its experienced management, analytics and underwriting teams are positioned to identify and evaluate business with attractive risk/reward characteristics.
Maintain a disciplined credit risk philosophy. Our mortgage group’s credit risk philosophy is to generate underwriting profit through disciplined credit risk analysis and proper pricing. Our mortgage group believes that the key to this approach is maintaining discipline across all phases of the applicable housing and mortgage lending cycles.
Provide superior and innovative mortgage products and services. Our mortgage group believes that it can leverage its financial capacity, experience across insurance product lines and the mortgage finance industry, and its analytics and technology to provide innovative products and superior service. The mortgage group believes that its delivery of tailored products that meet the specific, evolving needs of its customers will be a key to the group’s success.
Maintain our position as a leading provider of U.S. mortgage insurance business. With the acquisition of UGC in 2016, a leading provider of mortgage insurance products and services to national and regional banks and mortgage originators, we became a leading provider of U.S. mortgage insurance.
Diversify revenues by capitalizing on international opportunities. With the acquisition of Arch Indemnity in Australia in 2021, and continued growth insuring and reinsuring European banks, we believe diversifying revenues on a global basis is a key operating principle.
Our mortgage group focuses on the following areas:
Direct mortgage insurance in the United States. Under their monoline insurance licenses, each of Arch’s eligible mortgage insurers may only offer private mortgage insurance covering first lien, one-to-four family residential mortgages. Nearly all of our mortgage insurance written provides first loss protection on loans

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originated by mortgage lenders and sold to the GSEs. Each GSE’s Congressional charter generally prohibits it from purchasing a mortgage where the principal balance of the mortgage is in excess of 80% of the value of the property securing the mortgage unless the excess portion of the mortgage is protected against default by lender recourse, participation or by a qualified insurer. As a result, such “high loan-to-value mortgages” purchased by Fannie Mae or Freddie Mac generally are insured with private mortgage insurance.
Mortgage insurance protects the insured lender, investor or GSE against loss in the event of a borrower’s default. If a borrower defaults on mortgage payments, private mortgage insurance reduces, and may eliminate, losses to the insured. Private mortgage insurance may also facilitate the sale of mortgage loans in the secondary mortgage market because of the credit enhancement it provides. Our primary U.S. mortgage insurance policies predominantly cover individual loans and are effective at the time the loan is originated. We also may enter into insurance transactions with lenders and investors, under which we insure a portfolio of loans at or after origination. Although not currently a significant product, we may offer mortgage insurance on a “pool” basis in the future. Under pool insurance, the mortgage insurer provides coverage on a group of specified loans, typically for 100% of all contractual or policy-defined losses on every loan in the portfolio, subject to an agreed aggregate loss limit. Pool insurance may be in a first loss position with respect to loans that do not have primary mortgage insurance policies, or it may be in a second loss position, covering losses in excess of those covered by the primary mortgage insurance policy.
Mortgage insurance and reinsurance in Europe and other countries where we identify profitable underwriting opportunities. Since 2011, Arch Insurance (EU) has offered mortgage insurance to European mortgage lenders in order to reduce lenders’ credit risk and regulatory capital requirements associated with the insured mortgages. In certain European countries, lenders purchase mortgage insurance to facilitate regulatory compliance with respect to high loan-to-value residential lending. Arch Insurance (EU) offers mortgage insurance on both a “flow” basis to cover new originations and through structured transactions to cover one or more portfolios of previously originated residential loans. Increasingly, Arch Insurance (EU) and Arch Re Bermuda are providing protection to European banks on structured capital relief transactions. In Australia, Arch Indemnity provides lenders’ mortgage insurance on a flow basis to cover new originations and offers coverage through structured transactions to cover one or more portfolios of previously originated residential loans.
Reinsurance. Arch Re Bermuda provides quota share and excess of loss reinsurance covering U.S. and international mortgages.
Other credit risk-sharing products. In addition to providing traditional mortgage insurance and reinsurance, we offer various credit risk-sharing products to government agencies and mortgage lenders. The GSEs have reduced their exposure to mortgage risk by shifting a portion of it to the private sector, creating opportunities for insurers to assume additional mortgage risk. In 2013, Arch Re Bermuda became the first (re)insurance company to participate in Freddie Mac’s program to transfer certain credit risk in its single-family portfolio to the private sector. Since that time, Arch Re Bermuda and its affiliates have regularly participated in both Fannie Mae and Freddie Mac single family and multifamily risk sharing programs.
In 2019, we established Arch Credit Risk Services (Bermuda) Ltd. (“Arch CRS”). Arch CRS is licensed by the Bermuda Monetary Authority (“BMA”) as an insurance agent in Bermuda. Arch CRS offers mortgage credit assessment and underwriting advisory services with respect to participation in GSE credit risk transfer transactions.
Underwriting Philosophy. Our mortgage group believes in a disciplined, analytical approach to underwriting mortgage risks by utilizing proprietary and third party models, including forecasting delinquency and future home price movements with the goal of ensuring that premiums are adequate for the risk being insured. Experienced actuaries and statistical modelers are engaged in analytics to inform the underwriting process. As part of the underwriting process, our mortgage group typically assesses a variety of factors, including the:
ability and willingness of the mortgage borrower to pay its obligations under the mortgage loan being insured;
characteristics of the mortgage loan being insured and the value of the collateral securing the mortgage loan;
financial strength, quality of operations and reputation of the lender originating the mortgage loan;
home price trends and expected future home price movements which vary by geography;
projections of future loss frequency and severity; and
adequacy of premium rates.

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Sales and Distribution. In the U.S., we employ a sales force to directly sell mortgage insurance products and services to our customers, which include mortgage originators such as mortgage bankers, mortgage brokers, commercial banks, savings institutions, credit unions and community banks. Our largest single mortgage insurance customer in the U.S. (including branches and affiliates) accounted for 7.3% and 7.1% of our gross premiums written for the years ending December 31, 2023 and 2022, respectively. No other customer accounted for greater than 2.9% and 2.8% of the gross premiums written for the years ending December 31, 2023 and 2022, respectively. The percentage of gross premiums written on our top 10 customers was 24.6% and 23.6% as of December 31, 2023 and 2022, respectively. In Europe, Bermuda and Australia, our products and services are distributed on a direct basis and through brokers. Each country represents a unique set of opportunities and challenges that require knowledge of market conditions and client needs to develop effective solutions.
Risk Management. Exposure to mortgage risk is monitored globally and managed through underwriting guidelines, pricing, reinsurance, utilization of proprietary risk models, concentration limits and limits on net probable loss resulting from a severe economic downturn in the housing market. Exposure to climate risk has also been incorporated into the risk management framework of our mortgage group to monitor and manage our exposure to potential (i) losses related to the direct physical impact of extreme weather conditions or events in certain transactions; and/or (ii) adverse economic or housing market conditions caused by the physical impact of extreme weather conditions or events on a region or the financial impact of transitioning to a zero or low carbon economy on a region. Generally, mortgage insurance policies exclude direct physical losses resulting from physical damages, such as damaged caused by extreme weather events, though we do have some exposure to physical damage in certain GSE credit risk transfer (“CRT”) transactions. Additionally, we actively monitor developments in the housing market, financial regulation and public policy in the geographies where our mortgage group operates to facilitate implementation of laws, regulations and policies which support sustainable environmental behavior and mitigate the effects of climate change. For a discussion of our risk management policies, see “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Estimates—Ceded Reinsurance” and “Risk Factors—Risks Relating to Our Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Our mortgage group has ceded a portion of its premium on a quota share basis through certain reinsurance agreements and through aggregate excess of loss reinsurance agreements which provide reinsurance coverage for delinquencies on portfolios of in-force policies issued between certain periods. See note 8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.
Reinsurance arrangements do not relieve our mortgage group from its primary obligations to insured parties. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our mortgage subsidiaries would be liable for such defaulted amounts. For our U.S. mortgage insurance business, in addition to utilizing reinsurance, we have developed a proprietary risk model that simulates the maximum loss resulting from severe economic events impacting the housing market. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Catastrophic Events and Severe Economic Events.”
Claims Management. With respect to our direct mortgage insurance business, the claims process generally begins with notification by the insured or servicer to us of a default on an insured loan. The insured is generally required to notify us of a default after the borrower misses two consecutive monthly payments. Borrowers default for a variety of reasons, including a reduction of income, unemployment, divorce, illness, inability to manage credit, rising interest rate levels and declining home prices. Upon notice of a default, in certain cases we may coordinate with loan servicers to facilitate and enhance retention workouts on insured loans. Retention workouts include payment deferral or forbearance, loan modifications and other loan repayment options, which may enable borrowers to cure mortgage defaults and retain ownership of their homes. If a retention workout is not viable for a borrower, our loss on a loan may be mitigated through a liquidation workout option, including a pre-foreclosure sale or a deed-in-lieu of foreclosure.
In the U.S., our master policies generally provide that within 60 days of the perfection of a primary insurance claim, we have the option of:
paying the insurance coverage percentage specified in the certificate of insurance multiplied by the loss amount;
in the event the property is sold pursuant to an approved prearranged sale, paying the lesser of (i) 100% of the loss amount less the proceeds of sale of the property, or (ii) the specified coverage percentage multiplied by the loss amount; or

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paying 100% of the loss amount in exchange for the insured’s conveyance to us of good and marketable title to the property, with us then selling the property for our own account.
While we select the claim settlement option that best mitigates the amount of our claim payment, in the U.S. we generally pay the coverage percentage multiplied by the loss amount.
Other Operations
In 2014, we and HPS Investment Partners, LLC (formerly Highbridge Principal Strategies, LLC) (“HPS”) sponsored the formation of Somers. Arch Re Bermuda invested $100.0 million in Somers common equity. Somers’ strategy is to combine a diversified reinsurance and insurance business with a disciplined investment strategy. Somers’ own management and board of directors are responsible for its results and profitability. Arch Re Bermuda has appointed three directors to serve on the seven person board of directors of Somers. In the 2020 fourth quarter, Arch Capital, Somers and Greysbridge, a wholly-owned subsidiary of Arch Capital, entered into a Merger Agreement pursuant to which, among other things, Arch Capital agreed to acquire all of the common shares of Somers not owned by Arch for a cash purchase price of $35.00 per common share. Arch Capital has assigned its rights under the Merger Agreement to Greysbridge. The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by Arch, 30% by certain investment funds managed by Kelso and 30% by certain investment funds managed by Warburg. See note 12, “Variable Interest Entity and Noncontrolling Interests,” to our consolidated financial statements in Item 8 for further details.
In 2017, we and Kelso sponsored the formation of Premia. Premia’s strategy is to reinsure or acquire companies or reserve portfolios in the non-life property and casualty insurance and reinsurance run-off market. Arch Re Bermuda and certain Arch co-investors invested $100.0 million and acquired approximately 25% of Premia as well as warrants to purchase additional common equity. Arch Re Bermuda is providing a quota share reinsurance treaty on certain business written by Premia, and subsidiaries of Arch Capital are providing certain administrative and support services to Premia, in each case pursuant to separate multi-year agreements. Arch has appointed two directors to serve on the seven person board of directors of Premia.
In 2021, the Company completed the share purchase agreement with Natixis to purchase 29.5% of the common equity of Coface. This is a long-term, strategic investment in Coface, and fits with Arch’s efforts to develop uncorrelated sources of underwriting income. Our companies share a focus
on specialty underwriting where knowledge and expertise create value for our clients, and trade credit contributes to Arch’s specialty-driven business model. Arch has appointed four directors to serve on the ten person board of directors of Coface.
Climate Change Considerations
We are taking steps to address the effects of climate change and facilitate the transition toward decarbonization in all our underwriting segments. We seek to identify business opportunities associated with environmentally friendly trends and incentivize responsible environmental behaviors. We have adopted a thermal coal policy and provide environmentally sustainable insurance solutions in certain product lines.
HUMAN CAPITAL
We are driven by our common purpose of “Enabling Possibility” for our customers, our communities and our employees. This purpose is supported by our collaborative, results-driven culture which relies on our dedicated, engaged and talented people. By continuously working to offer a meaningful and inclusive employee experience, we not only seek to help people perform at their best among colleagues who care, but also aim to support our strategy of delivering specialty products and innovative solutions to our customers in each of our business segments. As of February 16, 2024, we had just over 6,400 employees globally, compared to around 5,800 last year, which directly speaks to our ability to sustain our strong and unique culture as we grow, which is a key enabler to top talent retention. We have approximately 3,600 employees in North America (U.S., Canada and Bermuda), 1,700 employees in Europe and the U.K. and 1,200 employees in the Philippines, Australia and the rest of the world.
Our People and Culture. An important part of our culture is sustaining an inclusive, diverse workforce. By better reflecting the demographics in the markets in which we operate while also actively seeking to instill norms for inclusive behavior, we aim to leverage all the best contributions and thinking across our Company. To that end, we are committed to further integrating diversity and inclusion principles in our operations. In addition to “embedding” inclusion into our talent processes, e.g., promotion reviews, over 700 employees (mostly managers) have attended our intensive, six-week Fostering Inclusive Leadership program. Importantly, this program requires participants to complete a business-related project as well as attend group discussions, where participants focus on how to apply inclusive techniques into the work experience. Finally, in 2023 our six employee networks provided a forum for over 1,300 employees to share ideas, build community and

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belonging, provide leadership opportunities for members and contribute meaningfully to business outcomes. Importantly, our networks include significant ally representation, which underscores the inclusive behavior of our people.
Talent Acquisition, Development, Rewards and Retention. Our employees are integral to the company, and we maintain a sharp focus on improving the ways we attract, develop and retain our high-performing talent. Our goal is to cultivate a workplace culture where all our employees can thrive by building awareness of inclusive practices and incorporating them into our regular course of business. In 2023, we launched a new talent acquisition model that modernizes our approach to the talent market and maximizes our ability to find and hire top talent across multiple talent pools and proactively source pipelines of key talent. In addition, the new model has streamlined this process across our Company by using a common platform that we can easily scale as we grow.
We provide career growth opportunities through a combination of on-the-job training and experience, exposure to top-notch colleagues who coach and mentor, and education and training programs designed to accelerate learning and applying new skills and behaviors. We offer competitive compensation and comprehensive benefits packages, including an employee share purchase plan, parental leave, contributions to retirement savings plans and programs to support employee mental and physical well-being. We recognize the financial burden of educational loans in the United States and have supported our employees with a student debt assistance program. Since the inception of the program in 2018, Arch has contributed approximately $5 million to this program, including $0.9 million in 2023. We also match eligible contributions to qualified charitable organizations and employees are offered two paid volunteer time-off days per calendar year with an eligible non-profit organization. Our Arch Achieve program has recognized over 500 employees for excellence since its inception in 2009, and each recipient is awarded a cash bonus to recognize their accomplishments.
In 2023, our senior leadership team met in person to discuss our strategy and vision for the future, foster continuous learning and a growth mindset for leaders and provide a forum for global executives to network across the Company.
To ease the impact on those most affected by inflation, effective in 2023, Arch introduced a salary-based premium structure for medical plans for U.S. based employees to help keep health care costs equitable and affordable. More than 65% of employees had reductions in medical premiums for the same plan and coverage tier.
We also encourage employees to continue their educational and professional development through tuition reimbursement
plans. To attract the best talent to our industry, we offer internship programs and an Early Career Program with an Underwriting Track which provides participants with a robust introduction and real technical skills to build a successful career at Arch. As part of our talent attraction, we have targeted programs aimed at diversifying our workforce. Experienced professionals at Arch may participate in manager and leadership development programs and, for our mortgage insurance segment employees, we offer the opportunity to seek a Mortgage Bankers Association Certified Banker designation.
RESERVES
Reserves for losses and loss adjustment expenses (“Loss Reserves”) represent estimates of what the insurer or reinsurer ultimately expects to pay on claims at a given time, based on facts and circumstances then known, and it is probable that the ultimate liability may exceed or be less than such estimates. Even actuarially sound methods can lead to subsequent adjustments to reserves that are both significant and irregular due to the nature of the risks written. Loss Reserves are inherently subject to uncertainty.
For detail on our Loss Reserves by segment and potential variability in the reserving process, see the Loss Reserves section of “Summary of Critical Accounting Estimates” in Item 7. For an analysis of losses and loss adjustment expenses and a reconciliation of the beginning and ending Loss Reserves and information about prior year reserve development, see note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8. For information on our reserving process, see note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8.
Unpaid and paid losses and loss adjustment expenses recoverable were approximately $7.1 billion at December 31, 2023. For detail on our unpaid and paid losses and loss adjustment expenses, see the Reinsurance Recoverables section of “Financial Condition, Reinsurance Recoverables” in Item 7.

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INVESTMENTS
At December 31, 2023, total investable assets held by Arch were $34.6 billion. Our current investment guidelines and approach stress preservation of capital, market liquidity and diversification of risk. Our investments are subject to market-wide risks and fluctuations, as well as to risks inherent in particular securities. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to grow and, in the future, may expand into areas that are not part of our current investment strategy. For detail on our investments, see the Investable Assets Held by Arch section of “Financial Condition” in Item 7 and note 9, “Investment Information,” to our consolidated financial statements in Item 8.
RATINGS
Our ability to underwrite business is affected by the quality of our claims paying ability and financial strength ratings as evaluated by independent agencies. Such ratings from third party internationally recognized statistical rating organizations or agencies are instrumental in establishing the financial security of companies in our industry. We believe that the primary users of such ratings include commercial and investment banks, policyholders, brokers, ceding companies and investors. Insurance ratings are also used by insurance and reinsurance intermediaries as an important means of assessing the financial strength and quality of insurers and reinsurers, and are often an important factor in the decision by an insured or intermediary of whether to place business with a particular insurance or reinsurance provider.
The financial strength ratings of our operating insurance and reinsurance subsidiaries are subject to periodic review as rating agencies evaluate us to confirm that we continue to meet their criteria for ratings they have assigned to us. Such ratings may be revised or revoked at the discretion of such ratings agencies in response to a variety of factors, including capital adequacy, management, earnings, forms of capitalization and risk profile. A.M. Best Company (“A.M. Best”), Fitch Ratings (“Fitch”), Moody’s Investors Service (“Moody’s”) and Standard & Poor’s (“S&P”) are ratings agencies which have assigned financial strength and/or issuer ratings to Arch Capital and/or one or more of its subsidiaries.
The ratings issued on our companies by these agencies are announced publicly and are available directly from the agencies. Our website www.archgroup.com (Investor Relations-Credit Ratings) contains information about our ratings, but such information on our website is not incorporated by reference into this report.
COMPETITION
The worldwide insurance markets are highly competitive. We compete with major U.S. and non-U.S. insurers and reinsurers, some of which have greater financial, marketing and management resources and longer-term relationships with insureds and brokers than us. We compete primarily on the basis of overall financial strength, ratings assigned by independent rating agencies, geographic scope of business, strength of client relationships, premiums charged, contract terms and conditions, products and services offered, speed of claims payment, reputation, employee experience, and qualifications and local presence. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—“We operate in a highly competitive environment, and we may not be able to compete successfully in our industry.”
In our property casualty insurance and reinsurance businesses, we compete with insurers and reinsurers that provide specialty property and casualty lines of insurance, including, but not limited to Allianz, American Financial Group, Inc., American International Group, Inc., Aviva, AXA XL, AXIS Capital Holdings Limited, Berkshire Hathaway, Inc., Chubb Limited, CNA Financial Corp., Convex Group Limited, Everest Group Ltd., Fairfax Financial Holdings Limited, Hannover Rück SE, The Hartford Financial Services Group, Inc., Liberty Mutual Group, Lloyd’s, Markel Corporation, Munich Re Group, PartnerRe Ltd., RenaissanceRe Holdings Ltd., RLI Corp., SCOR, Sompo International, Swiss Reinsurance Company, Tokio Marine, The Travelers Companies, Inc., W.R. Berkley Corp. and Zurich Insurance Group.
In our mortgage business, we compete with insurers and reinsurers that provide mortgage insurance, including the U.S mortgage insurance subsidiaries of Essent Group Ltd., Enact Holdings Inc., MGIC Investment Corporation, NMI Holdings Inc. and Radian Group Inc. The private mortgage insurance industry is highly competitive. Private mortgage insurers generally compete on the basis of underwriting guidelines, pricing, terms and conditions, financial strength, product and service offerings, customer relationships, reputation, the strength of management, technology, and innovation in the delivery and servicing of insurance products. Arch MI U.S. and other private mortgage insurers compete with federal and state government agencies that sponsor their own mortgage insurance programs. The private mortgage insurers’ principal government competitor is the Federal Housing Administration (“FHA”) and, to a lesser degree, the U.S. Department of Veterans Affairs (“VA”). Future changes to the FHA program, including any reduction to premiums charged, may impact the demand for private mortgage insurance.

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In addition, Arch MI U.S. and other private mortgage insurers increasingly compete with multi-line reinsurers and capital markets alternatives to private mortgage insurance. The GSEs continued their respective mortgage CRT programs, including the use of front and back-end transactions with multi-line reinsurers, with approximately 25 unique (re)insurers that regularly participate in transactions in addition to funded credit investors. These transactions continue to create opportunities for multi-line property casualty reinsurance groups and capital markets participants.
In our non-U.S. mortgage insurance businesses, we compete with insurance subsidiaries of Helia Group Ltd. and QBE Insurance Group, Ltd. in Australia; in Europe, our competitors on structured capital relief transactions include approximately 5-10 highly rated multi-line (re)insurers in addition to over 30 funded credit investors.
ENTERPRISE RISK MANAGEMENT
General. Enterprise Risk Management (“ERM”) is a key element in our philosophy, strategy and culture. We employ an ERM framework that includes underwriting, reserving, investment, credit, group and operational risks. Risk appetite and exposure limits are set by our executive management team, reviewed with the Board and its committees and routinely discussed with business unit management. These limits are articulated in our risk appetite statement, which details risk appetite, tolerances and limits for each major risk category, and are integrated into our operating guidelines. Exposures are aggregated and monitored periodically by our corporate risk management team. The reporting, review and approval of risk management information is integrated into our annual planning process, capital modeling and allocation, and reinsurance purchasing strategy. Such information is reviewed at insurance business reviews, reinsurance underwriting meetings and board level committees.
Risk Management Process and Procedures. The following narrative provides an overview of our risk management framework and our methodology for identifying, measuring, managing and reporting on the key risks affecting us. It outlines our approach to risk identification and assessment and provides an overview of our risk appetite and tolerance for each of the following major risks: underwriting (insurance) risk including pricing, reserving and catastrophe; investment risk including market and liquidity risks; group risk including strategic, governance, rating agency and capital market risk; credit risk; and operational risk including regulatory, investor relations (reputational risk) and outsourcing risks. We view environmental, social and governance (“ESG”) related risks not as standalone risks but as an integral part of our enterprise-wide risk management strategy. Consequently, evaluations of these risks are embedded throughout our risk management framework.
The framework includes details of our risk philosophy and policies to address the material risks confronting us and the approach and procedures to control and or mitigate these risks. The actions and policies implemented to meet our business management and regulatory obligations form the core of this framework. We have adopted a holistic approach to risk management by analyzing risk from both a top-down and bottom-up perspective.
Risk Identification and Assessment. The Finance, Investment and Risk Committee (“FIR Committee”), Audit Committee and Underwriting Oversight Committee of the Board oversee the top-down and bottom-up review of our risks. Given the nature and scale of our operations, these committees consider all aforementioned risks within the scope of the assessment. Arch Capital’s Chief Risk Officer (“CRO”) assists these committees in the identification and assessment of all key risks. The CRO is responsible for maintaining Arch Capital’s risk register and continually reviewing and challenging risk assessments, including the impact of emerging risks and significant business developments. Any new high-level risks or changes in inherent or residual designations are brought to the Board’s or the relevant committee’s attention.
Risk Monitoring and Control. Arch Capital’s risk management framework requires risk owners to monitor key risks on a continuous basis. The highest residual risks are actively managed by the Board and relevant committees. The remaining risks are managed and monitored at a process level by the risk owners and/or the CRO. Risk owners have ultimate responsibility for the day-to-day management of each designated risk, reporting to the CRO on the satisfactory management and control of the risk and timely escalation of significant issues that may arise in relation to that risk. The CRO is responsible for overseeing the monitoring of all risks across the business and for communicating to the relevant risk owners if she becomes aware of issues, or potential and actual breaches of risk appetite, relevant to the assigned risks. A key element of these monitoring activities is the periodic evaluation of our position relative to risk tolerances and limits approved by the Board.
Risk Reporting. Quarterly, the CRO compiles the results of the key risk review process into a report to the Board and relevant committees for review and discussion at their next meeting. The report includes an overview of selected key risks; a risk dashboard that depicts the status of risk limit and tolerance metrics; changes in the rating of high-level risks in the Arch Capital risk register; and summaries of our largest exposures and reinsurance recoverables. If necessary, risk management matters reviewed at the committee meetings are presented for discussion by the Board. The CRO is responsible for immediately escalating any significant risk matters to executive management, the respective Board Committee and/or the Board for approval of the required remediation. As part of our corporate governance, the Board

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and certain of its committees hold regular executive sessions with members of our management team. These sessions are intended to ensure an open and frank dialogue exists about various forms of risk across the organization.
Implementation and Integration. We believe that an integrated approach to developing, measuring and reporting our Own Risk and Solvency Assessment (“ORSA”) is an important part of the risk management framework. The ORSA process provides the link between Arch Capital’s risk profile, its board-approved risk appetite including approved risk tolerances and limits, its business strategy and its overall solvency requirements. The ORSA is the entirety of the processes and procedures employed to identify, assess, monitor, manage, and report the short and long-term risks we face or may face and to determine the capital necessary to ensure that our overall solvency needs are met at all times. The ORSA also makes the link between actual reported results and the capital assessment.
The ORSA is the basis for risk reporting to the Board and its committees and acts as a mechanism to embed the risk management framework within our decision making processes and operations. The Board has delegated responsibility for supervision and oversight of the ORSA to the FIR Committee. This oversight includes regular reviews of the ORSA process and output. An ORSA report is produced at least annually, and the results of each assessment are reported to the Board. The Board actively participates in the ORSA process by steering how the assessment is performed and challenging its results. This assessment is also taken into account when formulating strategic decisions.
The ORSA process and reporting are also important parts of our business strategy, tailored specifically to fit into our organizational structure and risk management system with the appropriate techniques in place to assess our overall solvency needs, taking into consideration the nature, scale and complexity of the risks inherent in the business.
We also take the results of the ORSA into account within our system of governance, including long-term capital management, business planning and new product development. The results of the ORSA also contribute to various elements of our strategic decision-making including how best to optimize capital management, establish the most appropriate premium levels and decide whether to retain or transfer risks.
For further discussion of our risk management policies, see the Ceded Reinsurance section of “Summary of Critical Accounting Estimates” in Item 7.
REGULATION
General
Our insurance and reinsurance subsidiaries are subject to varying degrees of regulation and supervision in the various jurisdictions in which they operate. We are subject to extensive regulation under applicable statutes in these countries and any other jurisdictions in which we operate. The current material regulations under which we operate are described below. We may become subject in the future to regulation in new jurisdictions or to additional regulations in existing jurisdictions.
Bermuda
General. Our main Bermuda insurance operating subsidiary, Arch Re Bermuda, is a Class 4 general business insurer and a Class C long-term insurer and is subject to the Insurance Act 1978 of Bermuda and related regulations, as amended (“Insurance Act”). Among other matters, the Insurance Act imposes certain solvency and liquidity standards, auditing and reporting requirements, the submission of certain period examinations of its financial conditions and grants the BMA powers to supervise, investigate, require information and demand the production of documents and intervene in the affairs of insurance companies. Significant requirements include the appointment of an independent auditor, the appointment of a loss reserve specialist, the appointment of a principal representative in Bermuda, the filing of annual Statutory Financial Returns, the filing of annual financial statements in accordance with U.S. generally accepted accounting principles (“GAAP”), the filing of an annual capital and solvency return, compliance with minimum and enhanced capital requirements, compliance with certain restrictions on reductions of capital and the payment of dividends and distributions, compliance with group solvency and supervision rules, if applicable, and compliance with the Insurance Code of Conduct (relating to corporate governance, risk management and internal controls).
Arch Re Bermuda must also comply with a minimum liquidity ratio and minimum solvency margin in respect of its general business. The minimum liquidity ratio requires that the value of relevant assets must not be less than 75% of the amount of relevant liabilities. The minimum solvency margin, which varies depending on the class of the insurer, is determined as a percentage of either net reserves for losses and loss adjustment expenses (“LAE”) or premiums or pursuant to a risk-based capital measure. Arch Re Bermuda is also subject to an enhanced capital requirement (“ECR”) which is established by reference to either the Bermuda Solvency Capital Requirement model (“BSCR”) or an approved internal capital model. The BSCR model is a risk-based capital model which provides a method for determining an insurer’s capital requirements (statutory capital and

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surplus) by taking into account the risk characteristics of different aspects of the insurer’s business. The BMA has established a target capital level for each Class 4 insurer equal to 120% of its ECR. While a Class 4 insurer is not currently required to maintain its available statutory economic capital and surplus at this level, the target capital level serves as an early warning tool for the BMA, and failure to maintain statutory capital at least equal to the target capital level will likely result in increased regulatory oversight. As a Class C insurer, Arch Re Bermuda is also required to maintain available statutory economic capital and surplus in respect of its long-term business at a level equal to or in excess of its long-term enhanced capital requirement that is established by reference to either the Class C BSCR model or an approved internal capital model.
Arch Re Bermuda is prohibited from declaring or paying any dividends during any financial year if it is in breach of its general business or long-term business enhanced capital requirements, minimum solvency margins or its general business minimum liquidity ratio or if the declaration or payment of such dividends would cause such a breach. If it has failed to meet its minimum solvency margins or minimum liquidity ratio on the last day of any financial year, Arch Re Bermuda will be prohibited, without the approval of the BMA, from declaring or paying any dividends during the next financial year. In addition, Arch Re Bermuda is prohibited from declaring or paying in any financial year dividends of more than 25% of its total statutory capital and surplus (as shown on its previous financial year’s statutory balance sheet) unless it files (at least seven days before payment of such dividends) with the BMA an affidavit stating that it will continue to meet the required margins. Without the approval of the BMA, Arch Re Bermuda is prohibited from reducing by 15% or more its total statutory capital as set out in its previous year’s financial statements and any application for such approval must include an affidavit stating that it will continue to meet the required margins. Where such an affidavit is filed, it shall be available for public inspection at the offices of the BMA. Under the Bermuda Companies Act of 1981, as amended (the “Companies Act”), Arch Re Bermuda may declare or pay a dividend out of distributable reserves only if it has reasonable grounds for believing that it is, or would after the payment be, able to pay its liabilities as they become due and if the realizable value of its assets would thereby not be less than its liabilities.
Policyholder Priority. The Insurance Amendment (No. 2) Act 2018 amended the Insurance Act to provide for the prior payment of policyholders’ liabilities ahead of general unsecured creditors in the event of the liquidation or winding up of an insurer. The amendments provide inter alia that, subject to certain statutorily preferred debts, the insurance debts of an insurer must be paid in priority to all other unsecured debts of the insurer. Insurance debt is defined as a
debt to which an insurer is or may become liable pursuant to an insurance contract excluding debts owed to an insurer under an insurance contract where the insurer is the person insured.
Group Supervision. The BMA acts as group supervisor of our group of insurance and reinsurance companies (“Group”) and has designated Arch Re Bermuda as the designated insurer (“Designated Insurer”). As our Group supervisor, the BMA performs a number of functions including: (i) coordinating the gathering and dissemination of relevant or essential information for going concerns and emergency situations, including the dissemination of information which is of importance for the supervisory task of other competent authorities; (ii) carrying out supervisory reviews and assessments of our Group; (iii) carrying out assessments of our Group's compliance with the rules on solvency, risk concentration, intra-group transactions and good governance procedures; (iv) planning and coordinating through regular meetings held at least annually (or by other appropriate means) with other competent authorities, supervisory activities in respect of our Group; both as a going concern and in emergency situations (v) coordinating any enforcement action that may need to be taken against our Group or any Group members; and (vi) planning and coordinating meetings of colleges of supervisors in order to facilitate the carrying out of these functions. As Designated Insurer, Arch Re Bermuda is required to facilitate compliance by our Group with the group insurance solvency and supervision rules.
On an annual basis, the Group is required to file Group statutory financial statements, a Group statutory financial return, a Group capital and solvency return, audited Group financial statements, a Group Solvency Self-Assessment (“GSSA”), and a financial condition report with the BMA. The GSSA is designed to document our perspective on the capital resources necessary to achieve our business strategies and remain solvent, and to provide the BMA with insights on our risk management, governance procedures and documentation related to this process. In addition, the Designated Insurer is required to file quarterly group financial returns with the BMA. The Group is also required to maintain available Group statutory economic capital and surplus in an amount that is at least equal to the group enhanced capital requirement (“Group ECR”) and the BMA has established a group target capital level equal to 120% of the Group ECR.
Fit and Proper Controllers. The BMA maintains supervision over the controllers of all Bermuda registered insurers, brokers, agents and insurance marketplace providers. For so long as the shares of Arch Capital are listed on the Nasdaq or another recognized stock exchange, any person who, directly or indirectly, becomes a holder of at least 10%, 20%, 33% or 50% of our common shares must notify the BMA in writing

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within 45 days of becoming such a holder (or ceasing to be such a holder). The BMA may object to such a person and require the holder to reduce its holding of common shares and direct, among other things, that voting rights attaching to the common shares shall not be exercisable.
Economic Substance Act. In December 2018, Bermuda enacted the Economic Substance Act 2018 (as amended) of Bermuda and its related regulations (together, the “ES Act”). The ES Act came into force on January 1, 2019, and provides that a registered entity other than an entity which is resident for tax purposes in certain jurisdictions outside Bermuda (“non-resident entity”) that carries on as a business any one or more of the “relevant activities” referred to in the ES Act must comply with economic substance requirements. The list of “relevant activities” includes carrying on any one or more of the following activities: banking, insurance, fund management, financing, leasing, headquarters, shipping, distribution and service center, intellectual property and holding entities. Under the ES Act, if a company is engaged in one or more “relevant activities”, it is required to maintain a substantial economic presence in Bermuda and to comply with the economic substance requirements set forth in the ES Act. A company will comply with those economic substance requirements if it: (a) is managed and directed in Bermuda; (b) undertakes “core income generating activities” (as may be prescribed under the ES Act) in Bermuda in respect of the relevant activity; (c) maintains adequate physical presence in Bermuda; (d) has adequate full time employees in Bermuda with suitable qualifications; and (e) incurs adequate operating expenditure in Bermuda in relation to the relevant activity undertaken by it.
Companies that are licensed under the Insurance Act and thereby carry on insurance as a relevant activity are generally considered to operate in Bermuda with adequate substance if they comply with the existing provisions of (a) the Companies Act relating to corporate governance; and (b) the Insurance Act, that are applicable to the economic substance requirements, and the Registrar will have regard to such companies’ compliance in his assessment of compliance with the economic substance requirements. That being said, such companies are still required to complete and file a Declaration Form, with the Bermuda Registrar of Companies and the Registrar will also have regard to the information provided in that Declaration Form in making his assessment of compliance with the ES Act.
Insurance Sector Operational Cyber Risk Management Code of Conduct (“Cyber Risk Management Code of Conduct”). The BMA recognized that cyber incidents can cause significant financial losses and/or reputational impacts across the insurance industry and implemented the Cyber Risk Management Code of Conduct in October 2020. All Bermuda insurers, insurance managers and intermediaries registered under the Insurance Act are required to comply with the
BMA’s Cyber Risk Management Code of Conduct, which established duties, requirements and standards to be complied by each registrant in relation to operational cyber risk management. This requires Arch Re Bermuda to develop a cyber risk policy, which is to be delivered pursuant to an operational cyber risk management program and appoint an appropriately qualified member of staff or outsourced resource to the role of Chief Information Security Officer. The role of the Chief Information Security Officer is to deliver the operational cyber risk management program.
It is expected that the cyber risk policy will be approved by the Arch Re Bermuda board of directors at least annually. The BMA will assess Arch Re Bermuda’s compliance with the Cyber Risk Management Code of Conduct in a proportionate manner relative to the nature, scale and complexity of its business. Failure to comply with the requirements of the Cyber Risk Management Code of Conduct will be taken into account by the BMA in determining whether Arch Re Bermuda is conducting its business in a sound and prudent manner as prescribed by the Insurance Act and may result in the BMA exercising its powers of intervention and investigation.
Notification of Cyber Reporting Events. Every Bermuda insurer is required to notify the BMA forthwith on it coming to the knowledge of the insurer, or where the insurer has reason to believe that a Cyber Reporting Event has occurred. Within fourteen (14) days of such notification, the insurer must also furnish the BMA with a written report setting out all of the particulars of the Cyber Reporting Event that are available to it. A Cyber Reporting Event includes any act that results in the unauthorized access to, disruption, or misuse of electronic systems or information stored on such systems of an insurer, including breach of security leading to the loss or unlawful destruction or unauthorized disclosure of or access to such systems or information where there is a likelihood of an adverse impact to policyholders, clients or the insurer’s insurance business, or an event that has occurred for which notice is required to be provided to a regulatory body or government agency.
Personal Information Protection Act 2016. Bermuda’s principal data protection and privacy legislation is the Personal Information Protection Act 2016 (“PIPA”). At present, the majority of the operative provisions of PIPA, which include detailed requirements around conditions for use and consent to use of personal information, specific obligations on organizations that use personal information, overseas data transfer assessment obligations and access, rectification and erasure rights for individuals, are not yet in force in Bermuda. In June 2023, the Bermuda Government and the Office of the Privacy Commissioner for Bermuda announced that the remaining operative provisions of PIPA will become fully implemented on January 1, 2025.

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PIPA (once in force) applies to every organization (which includes any individual, entity or public authority) that uses personal information in Bermuda where that personal information is used by automated or other means which form,
or are intended to form, part of a structured filing system. For
the purposes of PIPA, “personal information” means any information about an identified or identifiable individual (meaning a natural person), and “use” or “using” are very broadly defined and effectively include possessing or carrying out any operation on personal information. Many of our Bermuda subsidiaries which use and hold personal information will be in scope and must comply with the provisions of PIPA.
Corporate Income Tax Act 2023 (the “Bermuda CIT Act”). On December 27, 2023, Bermuda enacted the Bermuda CIT Act. Entities subject to tax under the Bermuda CIT Act are the Bermuda constituent entities of multi-national groups. A multi-national group is defined under the Bermuda CIT Act as a group with entities in more than one jurisdiction with consolidated revenues of at least €750 million for two of the four previous fiscal years. If Bermuda constituent entities of a multi-national group are subject to tax under the Bermuda CIT Act, such tax is charged at a rate of 15% of the net income of such constituent entities (as determined in accordance with the Bermuda CIT Act, including after adjusting for any relevant foreign tax credits applicable to the Bermuda constituent entities). Although the commencement date of the Bermuda CIT Act is January 1, 2024, no tax is chargeable under the Bermuda CIT Act until tax years starting on or after January 1, 2025. All Arch Bermuda operations are subject to the requirements of the Bermuda CIT Act.
United States
General. Our U.S. based insurance operating subsidiaries are subject to extensive governmental regulation and supervision by the states and jurisdictions in which they are domiciled, licensed and/or approved to conduct business. The insurance laws and regulations of the state of domicile have the most significant impact on operations. We currently have U.S. insurance and/or reinsurance subsidiaries domiciled in Delaware, North Carolina, Missouri, Wisconsin, Kansas and the District of Columbia and we may acquire insurers domiciled in other states in the future. State insurance regulation and supervision is designed to protect policyholders rather than investors. Generally, state regulatory authorities have broad regulatory powers over such matters as licenses, standards of solvency, premium rates, policy forms, marketing practices, claims practices, investments, methods of accounting, form and content of financial statements, certain aspects of governance, ERM, amounts we are required to hold as reserves for future payments, minimum capital and surplus requirements, annual and other report filings and transactions among affiliates. Our
U.S. based subsidiaries are required to file detailed quarterly and audited annual statutory financial statements with state insurance regulators. In addition, regulatory authorities conduct periodic financial, claims and market conduct examinations. Certain insurance regulatory requirements are highlighted below. In addition to regulation applicable generally to U.S. insurance and reinsurance companies, our U.S. mortgage insurance operations are affected by federal and state regulation relating to mortgage insurers, mortgage lenders, and the origination, purchase and sale of residential mortgages. Arch Insurance (U.K.) is also subject to certain governmental regulation and supervision in the states where it writes excess and surplus lines insurance.
Holding Company Regulation. All states have enacted legislation that regulates insurance holding company systems. These regulations generally provide that each insurance company in the system is required to register with the insurance department of its state of domicile and furnish information concerning the operations of companies within the holding company system which may materially affect the operations, management or financial condition of the insurers within the system. Notice to the state insurance departments is required prior to the consummation of certain material transactions between an insurer and any entity in its holding company system and certain transactions may not be consummated without the applicable insurance department’s prior approval or non-disapproval after receiving notice. The holding company acts also prohibit any person from directly or indirectly acquiring control of a U.S. insurance or reinsurance company unless that person has filed an application with specified information with such company’s domiciliary commissioner and has obtained the commissioner’s prior approval. Under most states’ statutes acquiring 10% or more of the voting securities of an insurance company or its parent company is presumptively considered an acquisition of control of the insurance company, although such presumption may be rebutted.
State holding company acts and regulations also impose extensive informational requirements on parents and other affiliates of licensed insurers or reinsurers with the purpose of protecting them from enterprise risk, including requiring an annual enterprise risk report by the ultimate controlling person identifying the material risks within the insurance holding company system that could pose enterprise risk to the licensed companies and requiring a person divesting its controlling interest to make a confidential advance notice filing.
The National Association of Insurance Commissioners (“NAIC”) Insurance Holding Company System Model Act and Model Regulation includes provisions that, when adopted by states, will require the ultimate controlling person of an insurance holding company system to file an annual group capital calculation, unless the ultimate controlling

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person or its insurance holding company system is exempt from the filing requirement. Arch’s U.S. lead state regulator, the Missouri Department of Commerce & Insurance, adopted the model group capital calculation provisions in 2021. The group capital calculation is designed to assist state insurance regulators in understanding the financial condition of non-insurance entities that are part of an insurance holding company system and the degree to which insurance companies are supporting those non-insurance entities.
Regulation of Dividends and Other Payments from Insurance Subsidiaries. The ability of an insurer to pay dividends or make other distributions is subject to insurance regulatory limitations of the insurer’s state of domicile. Such laws generally limit the payment of dividends or other distributions above a specified level. Dividends or other distributions in excess of such thresholds are “extraordinary” and are subject to prior notice and approval, or non-disapproval after receiving notice.
Credit for Reinsurance. Arch Re U.S. is subject to insurance regulation and supervision that is similar to the regulation of licensed primary insurers. However, except for certain mandated provisions that must be included in order for a ceding company to obtain credit for reinsurance ceded, the terms and conditions of reinsurance agreements generally are not subject to regulation by any governmental authority.
A U.S. primary insurer ordinarily will enter into a reinsurance agreement only if it is able to obtain credit for the reinsurance ceded on its U.S. statutory-basis financial statements. As a result of the requirements relating to the provision of credit for reinsurance, Arch Re U.S., Arch Re Bermuda and AGRL are indirectly subject to certain regulatory requirements imposed by U.S. jurisdictions in which ceding companies are domiciled. In general, credit for reinsurance is allowed if the reinsurer is licensed or “accredited” in the state in which the primary insurer is domiciled; or if none of the above applies, to the extent that the reinsurance obligations of the reinsurer are collateralized appropriately, typically through the posting of a letter of credit for the benefit of the primary insurer or the deposit of assets into a trust fund established for the benefit of the primary insurer.
U.S. primary insurers also may receive credit for reinsurance ceded to unauthorized reinsurers without collateral or with less than 100% collateral under revisions to the NAIC Credit for Reinsurance Model Law (#785) and the Credit for Reinsurance Model Regulation (#786) (collectively, the “NAIC Model Law and Regulation”). All U.S. states, the District of Columbia and Puerto Rico have adopted revisions to the NAIC Model Law and Regulation that allow full credit to U.S. ceding insurers for reinsurance ceded to reinsurers that have been approved as “certified reinsurers” based upon less than 100% collateralization. As of January 23, 2024,
Arch Re Bermuda is approved as a “certified reinsurer” for the 2024 calendar year in 44 states with applications pending in 8 additional states and territories. In addition, 2019 amendments to the NAIC Model Law and Regulation eliminate reinsurance collateral requirements for reinsurers that (1) have their head office or are domiciled in EU Member States, the U.K., NAIC accredited U.S. jurisdictions and other jurisdictions deemed “reciprocal jurisdictions” by the NAIC (although individual states may approve or reject the designation of such other jurisdictions as a “reciprocal jurisdiction”), and (2) have been approved as a “reciprocal jurisdiction reinsurer.” The NAIC list of approved reciprocal jurisdictions includes Bermuda, Japan and Switzerland. All U.S. states, the District of Columbia and Puerto Rico have adopted the 2019 amendments to the NAIC Model Law and Regulation. As of January 23, 2024, Arch Re Bermuda is approved as a “reciprocal jurisdiction reinsurer” for the 2024 calendar year in 44 states with applications pending in 8 additional states and territories. In addition, AGRL received approval as a “reciprocal jurisdiction reinsurer” from its lead state of Missouri in November 2023, which is effective for the 2023 calendar year. AGRL intends to seek renewal of its “reciprocal jurisdiction reinsurer” status from Missouri in 2024 and will potentially seek approval from additional states.
Risk Management and ORSA. The NAIC Risk Management and Own Risk Solvency Assessment Model Act (“ORSA Model Act”) provides that domestic insurers, or their insurance group, must regularly conduct an ORSA consistent with a process comparable to the ORSA Guidance Manual process. The ORSA Model Act also provides that, no more than once a year, an insurer’s domiciliary regulator may request that an insurer submit an ORSA summary report, or any combination of reports that together contain the information described in the ORSA Guidance Manual, with respect to the insurer and/or the insurance group of which it is a member. States may impose additional internal review and regulatory filing requirements on licensed insurers and their parent companies. All states have enacted the ORSA Model Act or substantially similar legislation.
Cybersecurity and Privacy. In July 2023, the SEC adopted new cybersecurity disclosure rules (“SEC Cybersecurity Rules”) mandating cybersecurity incident and risk management disclosure for public companies such as Arch. The SEC Cybersecurity Rules became effective in December 2023 and mandate that public companies report a cybersecurity incident on a Form 8-K within four days after they determine that the incident is material. Additional disclosure by registrants in the Form 10-K annual report should describe their processes for assessing, identifying and managing material risks from cybersecurity threats, the material impacts of cybersecurity threats and previous cybersecurity incidents. See Item 1C, “Cybersecurity” for further information about our disclosures.

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In March 2022, the U.S. government passed the Cyber Incident Reporting for Critical Infrastructure Act of 2022, which will require companies deemed to be part of U.S. critical infrastructure to report any substantial cybersecurity incidents or ransom payments to the federal government within 72 and 24 hours, respectively. The Cybersecurity & Infrastructure Security Agency considers financial services, which includes insurance companies, as a critical infrastructure sector. The implementing regulations are not expected for another one-to-two years.
In September 2022, the Federal Insurance Office (“FIO”) within the Department of Treasury requested public comment on potential federal insurance responses to catastrophic cyber incidents affecting critical infrastructure. In July 2023, the Biden Administration published a National Cybersecurity Strategy Implementation Plan that includes as a strategic objective the exploration of a federal cyber insurance backstop and identified FIO as the responsible agency for assessing the need for and possible structures of a federal insurance response. In November 2023, the FIO announced initiatives to further study the development of a federal insurance backstop for catastrophic cyber events.
The NAIC adopted an Insurance Data Security Model Law in 2017 that requires insurers, insurance producers and other entities required to be licensed under state insurance laws to comply with certain requirements under state insurance laws, such as developing and maintaining a written information security program, conducting risk assessments overseeing the data security practices of third party service providers and meeting expanded breach notification requirements. This model law has been adopted in states in which our U.S. subsidiaries are licensed and operate. In addition, certain state insurance regulators are developing or have developed regulations that may impose regulatory requirements relating to cybersecurity on insurance and reinsurance companies (potentially including insurance and reinsurance companies that are not domiciled, but are licensed, in the relevant state). Many regulators, including the Federal Trade Commission (“FTC”), the New York Department of Financial Services (“NYDFS”), and the U.S. Department of the Treasury’s Office of Foreign Assets Control (“OFAC”), have issued new guidance on managing cybersecurity risks (or amended existing regulations) that expand existing regulatory requirements.
Privacy legislation and regulation has also become an issue of increasing focus in many states. The California Consumer Privacy Act of 2018 (“CCPA”), which went into effect January 1, 2020 grants California consumers certain rights to, among other things, access and delete data about them subject to certain exceptions, as well as a private right of action related to cybersecurity breaches with statutory penalties. Additionally, the California Privacy Rights Act of 2020 (“CPRA”) which became fully effective on January 1,
2023, applies to some of our data collecting and processing activities, and it provides for additional consumer privacy rights, and additional regulatory obligations over certain data. It also created a new privacy focused California regulatory agency with enforcement authority, the California Privacy Protection Agency (“CPPA”). CPPA regulations that implement the CPRA became effective on March 29, 2023 and, as delayed by a state court decision, are expected to become enforceable in February 2024. Rulemaking is also underway on regulations mandated by the CPRA governing cybersecurity audits, risk assessments, and automated decision-making, but additional regulations have yet to be proposed. The CPPA draft rules govern consumer notice, access, and opt-out rights with respect to automated decision-making. Under the draft rules, businesses would also have to make significant disclosures about their implementation of automated decision-making. At the CPPA December board meeting, the board requested the CPPA staff to further evaluate the draft regulations, particularly its impact within the workplace and in the employment context.
A range of new cybersecurity and privacy laws are also under consideration in other states, as well as by the federal government. Several states, including Colorado, Connecticut, Utah, and Virginia adopted new comprehensive data privacy legislation that went into effect in 2023. Additional states, including Delaware, Florida, Iowa, Montana, New Jersey, Oregon, Tennessee, and Texas, adopted new data privacy legislation that will go into effect over the next two years (with a new Indiana data privacy law to take effect in 2026). While these state laws provide consumer privacy rights and protections like those in the CCPA and CPRA, they exempt entities subject to the Gramm-Leach-Bliley Act from their requirements.
Artificial Intelligence. The increased use of automated processes by insurers, including algorithms, artificial intelligence (generative and predictive) (“AI”) and predictive models that make use of large datasets and data analytics, has led to additional regulatory attention to insurer practices including in relation to risk selection, pricing and claims, as well as governance and oversight of AI and predictive models.
In late 2023, the NAIC adopted a model bulletin entitled “Use of Artificial Intelligence Systems by Insurers” that sets forth state insurance regulators’ expectations on how insurers should govern the use of advanced analytical and computational technologies used to make or support decisions impacting consumers. Such expectations include implementation of a written program for the responsible use of AI systems that make or support decisions related to regulated insurance practices, which program should be designed to mitigate certain risks. As of February 1, 2024, only one state has adopted the bulletin, but we expect it to be

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adopted in states in which our U.S. subsidiaries are licensed and operate.
In addition, state agencies, departments and insurance regulators, including the California Department of Insurance, California Privacy Protection Agency, Connecticut Insurance Department, New York Department of Consumer and Work Protection and NYDFS, have adopted, proposed or released for comment laws, regulations and guidance that may impose regulatory requirements relating to the use of AI and automated decision-making on insurance and reinsurance companies. Such requirements include (or may include) risk management processes and controls, governance frameworks, vendor oversight and outcomes testing that may hinder or delay the implementation of new technologies available to other businesses.
In addition to insurance specific AI regulation there are many general AI proposals and frameworks. For example, President Biden’s Executive Order 14110 on Safe, Secure, and Trustworthy Development and Use of Artificial Intelligence, issued on October 30, 2023 establishes extensive new standards for AI safety and security.
Globally, many new AI laws are being proposed, the most significant of which may be in the EU. See “Regulation—Europe” for further details on our insurance operations.
Risk-Based Capital Requirements. Licensed U.S. property and casualty insurance and reinsurance companies are subject to risk-based capital requirements that are designed to assess capital adequacy and to raise the level of protection that statutory surplus provides for policyholder obligations. The risk-based capital model for property and casualty insurance companies measures three major areas of risk facing property and casualty insurers: underwriting, which encompasses the risk of adverse loss developments and inadequate pricing; declines in asset values arising from credit risk; and declines in asset values arising from investment risks. An insurer will be subject to varying degrees of regulatory action depending on how its statutory surplus compares to its risk-based capital calculation. Under the approved formula, an insurer’s total adjusted capital is compared to its authorized control level risk-based capital. If this ratio is above a minimum threshold, no company or regulatory action is necessary. Below this threshold are four distinct action levels at which an insurer’s domiciliary state regulator can intervene with increasing degrees of authority over an insurer as the ratio of surplus to risk-based capital requirement decreases. The mildest regulatory action requires an insurer to submit a plan for corrective action; the most severe requires an insurer to be rehabilitated or liquidated.
Our mortgage insurance operations are not currently subject to state risk-based capital requirements, but rather are subject to state risk to capital or minimum policyholder position
requirements. The NAIC adopted a revised Mortgage Guaranty Insurance Model Act in 2023. It is uncertain when or if it will be adopted in any jurisdiction.
Guaranty Funds. Most states require all admitted insurance companies to participate in their respective guaranty funds which cover certain claims against insolvent insurers. Solvent insurers licensed in these states are required to cover the losses paid on behalf of insolvent insurers by the guaranty funds and are generally subject to annual assessments in the states by the guaranty funds to cover these losses. Mortgage guaranty insurance, among other lines of business, is typically exempt from participation in guaranty funds.
Climate Change and Financial Risks. U.S. state insurance regulators have increased their oversight of insurance company governance, reporting and disclosure relating to the potential risks presented by climate change and one or more states may adopt climate-change-related requirements that impact our insurance and reinsurance companies. In 2020, NYDFS issued a circular letter stating that NYDFS expects insurers authorized in New York to integrate the consideration of climate risks into their governance frameworks, risk management processes and business strategies, including the designation of a board committee or member and senior management function to be accountable for the company’s assessment and management of the financial risks from climate change. In 2021, NYDFS issued additional guidance for New York Domestic Insurers on Managing the Financial Risks from Climate Change that reiterates many of the principles outlined in the 2020 circular letter. New York and other states also require licensed insurers with countrywide premium written of at least $100 million to annually provide disclosure of their assessment and management of climate related risks.
In November 2023, the FIO published a request to proceed with a climate-related data call that would collect five years of homeowners’ insurance underwriting data to evaluate the relationship between underwriting trends and weather-related events. Separately, in December 2023, the NAIC outlined plans for its own substantially similar climate-related data. The FIO and NAIC climate-related information gathering could culminate in recommendations for new federal or state legislation.
Other Federal Regulation. Although state regulation is the dominant form of regulation for insurance and reinsurance business, a number of federal laws affect and apply to the insurance industry. The Dodd-Frank Wall Street Reform and Consumer Protection Act of 2010 (“Dodd-Frank”) created the FIO, which is not a federal regulator or supervisor of insurance, but monitors the insurance industry for systemic risk, administers the Terrorism Risk Insurance Program (“TRIP”), consults with the states regarding insurance matters, develops federal policy on aspects of international

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insurance matters, and is authorized to assist the U.S. Secretary of the Treasury in negotiating “covered agreements” between the U.S. and foreign governments that address insurance prudential measures.
In addition to provisions of Dodd-Frank pertaining to underwriting mortgages and a consumer’s ability to repay, certain other federal laws also directly or indirectly impact mortgage insurers, including the Real Estate Settlement Procedures Act of 1974, the Homeowners Protection Act of 1998, the Equal Credit Opportunity Act, the Fair Housing Act, the Truth In Lending Act, the Fair Credit Reporting Act of 1970, and the Fair Debt Collection Practices Act. Among other things, these laws and their implementing regulations prohibit payments for referrals of settlement service business, require fairness and non-discrimination in granting or facilitating the granting of credit, govern the circumstances under which companies may obtain and use consumer credit information, define the manner in which companies may pursue collection activities, and require disclosures of the cost of credit and provide for other consumer protections.
GSE Eligible Mortgage Insurer Requirements. GSEs impose requirements on private mortgage insurers so that they may be eligible to insure loans sold to the GSEs, known as the Private Mortgage Insurer Eligibility Requirements (“PMIERs”). The PMIERs apply to our eligible mortgage insurers, but do not apply to Arch Mortgage Guaranty Company, which is not GSE-approved. The PMIERs impose limitations on the type of risk insured, the forms and insurance policies issued, standards for the geographic and customer diversification of risk, procedures for claims handling, acceptable underwriting practices, standards for certain reinsurance cessions and financial requirements, among other things. The financial requirements require an eligible mortgage insurer’s available assets to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions including origination year, original loan-to-value, original credit score of performing loans, and the delinquency status of non-performing loans.
Russian Sanctions. The U.S. first imposed sanctions on the Russian Federation following its annexation of Crimea in 2014. Since February 2022, the U.S. has imposed additional sanctions on Russia in response to the Russian invasion of Ukraine and the ongoing hostilities. Given the evolving situation, we are closely monitoring developments and the sanctions imposed, to ensure our business remains in compliance with any applicable sanctions measures imposed.

Canada
Arch Insurance Canada and Arch Re Canada are subject to federal, as well as provincial and territorial, regulation in Canada in the provinces and territories in which they underwrite insurance/reinsurance. The Office of the Superintendent of Financial Institutions (“OSFI”) is the federal regulatory body that, under the Insurance Companies Act (Canada), prudentially regulates federal Canadian and non-Canadian insurance and reinsurance companies operating in Canada. Arch Insurance Canada is licensed to carry on insurance business by OSFI and in each province and territory. Arch Re Canada is licensed to carry on reinsurance business by OSFI and in the provinces of Ontario and Quebec.
Under the Insurance Companies Act (Canada), Arch Insurance Canada is required to maintain an adequate amount of capital in Canada, calculated in accordance with a test promulgated by OSFI called the Minimum Capital Test, and Arch Re Canada is required to maintain an adequate margin of assets over liabilities in Canada, calculated in accordance with a test promulgated by OSFI called the Branch Adequacy of Assets Test. OSFI has implemented a risk-based methodology for assessing insurance/reinsurance companies operating in Canada known as its “Supervisory Framework.” In applying the Supervisory Framework, OSFI considers the inherent risks of the business and the quality of risk management for each significant activity of each operating entity. Under the Insurance Companies Act (Canada), approval of the Minister of Finance (Canada) is required in connection with certain acquisitions of shares of, or control of, Canadian insurance companies such as Arch Insurance Canada, and notice to and/or approval of OSFI is required in connection with the payment of dividends by or redemption of shares by Canadian insurance companies such as Arch Insurance Canada.
United Kingdom
General. The Prudential Regulation Authority (“PRA”) and the Financial Conduct Authority (“FCA”) regulate insurance and reinsurance companies and the FCA regulates firms carrying on insurance distribution activities operating in the U.K. under the Financial Services and Markets Act 2000 (the “FSMA”). In May 2004, Arch Insurance (U.K.) was granted the relevant permissions for the classes of insurance business which it underwrites in the U.K. AMAL currently manages Arch Syndicate 2012 and Arch Syndicate 1955 pursuant to its authorizations by the U.K. regulators and Lloyd’s. All U.K. companies are also subject to a range of statutory provisions, including the laws and regulations of the Companies Act 2006 (as amended) (the “U.K. Companies Act”).

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The objectives of the PRA are to promote the safety and soundness of all firms it supervises and to secure an appropriate degree of protection for policyholders. The objectives of the FCA are to ensure customers receive financial services and products that meet their needs, to promote sound financial systems and markets and to ensure that firms are stable and resilient with transparent pricing information and which compete effectively and have the interests of their customers and the integrity of the market at the heart of how they run their business. Following the implementation of the Financial Services and Markets Act 2023 (“FSMA 2023”), the PRA and the FCA have a new secondary objective to facilitate the international competitiveness of the U.K. economy and its medium to long-term growth, subject to aligning with relevant international standards.
The PRA has responsibility for the prudential regulation of banks and insurers, while the FCA has responsibility for the conduct of business regulation in the wholesale and retail markets. The PRA and the FCA adopt separate methods of assessing regulated firms on a periodic basis. Arch Insurance (U.K.) and AMAL are subject to periodic assessment by the PRA along with all regulated firms. Arch Insurance (U.K.) and AMAL are subject to regulation by both the PRA and FCA. Castel is authorized and regulated by the FCA and is subject to periodic assessment and review by the FCA.
Lloyd’s Supervision. The operations of AMAL (as managing agent of Arch Syndicate 2012 and Arch Syndicate 1955) and each syndicate’s respective corporate members, are subject to the byelaws and regulations made by (or on behalf of) the Council of Lloyd’s, and requirements made under those byelaws. The Council of Lloyd’s, established in 1982 by Lloyd’s Act 1982, has overall responsibility and control of Lloyd’s. Those byelaws, regulations and requirements provide a framework for the regulation of the Lloyd’s market, including specifying conditions in relation to underwriting and claims operations of Lloyd’s participants. The Council of Lloyd’s has discretionary powers to regulate corporate members’ underwriting at Lloyd’s. Lloyd’s is also subject to the provisions of the FSMA. Lloyd's is authorized by the PRA and regulated by the PRA and FCA. Those entities acting within the Lloyd’s market are required to comply with the requirements of the FSMA and provisions of the PRA’s or FCA's rules, although the PRA has delegated certain of its powers, including some of those relating to prudential requirements, to Lloyd’s. Each corporate member of Lloyd’s is required to contribute a percentage of the member’s premium income for each year of account to the Lloyd’s central fund. The Lloyd’s central fund is available if members of Lloyd’s assets are not sufficient to meet claims for which the member is liable. Each corporate member of Lloyd’s may also be required to contribute to the central fund by way of a supplement to a callable layer of up to 5% of the
corresponding member’s premium income limit for the relevant year of account.
Principles for doing business at Lloyd’s (the “Principles”) replaced the Lloyd’s Minimum Standards (the previous regime which set out the Lloyd’s regulatory requirements for Lloyd’s managing agents) and became effective from the third quarter of 2022. The Principles set out the fundamental responsibilities expected of all managing agents, including AMAL, and is the basis against which Lloyd’s will review and categorize all syndicates and managing agents in terms of their capacity and performance. While offering greater flexibility, the principles-based oversight requires greater reliance on AMAL to interpret and apply the rules.
Financial Resources. The European solvency framework and prudential regime for insurers and reinsurers, the Solvency II Directive 2009/138/EC (“Solvency II”), took effect in full on January 1, 2016. See “European Union—Insurance and Reinsurance Regulatory Regime” below for additional details.
Arch Insurance (U.K.), and the corporate members of Arch Syndicate 2012 and Arch Syndicate 1955 are currently required to meet economic risk-based solvency requirements imposed under Solvency II. Solvency II, together with European Commission “delegated acts” and guidance issued by the European Insurance and Occupational Pensions Authority (“EIOPA”) sets out classification and eligibility requirements, including the features which capital must display in order to qualify as regulatory capital.
On January 31, 2020, the U.K. withdrew from the EU with the terms of Brexit set forth in the Withdrawal Agreement agreed by the U.K. Parliament and the EU Parliament. At the expiration of the transition period from January 31, 2020 until December 31, 2020 (the “Transition Period”), during which time the U.K. remained in the EU customs union and single market, the European Union (Withdrawal) Act 2018, as amended, has transposed all applicable direct EU legislation into domestic U.K. law, thus ensuring the continuing application of Solvency II under the U.K.’s financial services regulatory regime.
In November 2022, HM Treasury set out the U.K. government’s final reform package on the Solvency II framework in the U.K., in response to an earlier consultation paper from April 2022. Significant changes to be introduced by these reforms included the reduction in risk margin by 30% for non-life insurers and the proposal to remove branch capital requirements. This will benefit branches of foreign insurers based in the U.K. immediately upon implementation, as well as reduce barriers for foreign insurers wishing to establish a U.K. branch in the future. The U.K. government has also decided to introduce a new mobilization scheme for insurers which would create an optional stage in a

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prospective insurer’s entry to the market, including adjusted entry requirements such as a lower capital floor, lower expectations for key personnel and governance structures, and exemptions from certain reporting requirements.
FSMA 2023 provides a framework for the revocation of retained EU law in financial services and its replacement with corresponding regulators’ rules (in the case of Solvency II, mainly in the PRA’s Rulebook). Since the Transition Period, Solvency II has been subject to a major review in its application in the U.K., corresponding with a parallel review in the EU (known as the 2020 review).
The Insurance and Reinsurance Undertakings (Prudential Requirements) Regulations 2023 came into force on December 31, 2023 and modified the current risk margin calculation. The PRA has also issued two consultations covering the Solvency II reform proposals for insurers. It is expected that the reforms forming part of what will then be known as “Solvency U.K.”, will be in place by the end of 2024.
The implementation of these reforms by the U.K. government and potential divergence between the U.K. and the EU may have an impact on whether the U.K. is granted Solvency II equivalence status by the EU in any of the three areas to which equivalence applies.
Financial Services Compensation Scheme. The Financial Services Compensation Scheme (“FSCS”) is a scheme established under FSMA to compensate eligible policyholders of insurance companies who may become insolvent. The FSCS is funded by the levies that it has the power to impose on all insurers. Arch Insurance (U.K.) could be required to pay levies to the FSCS.
Restrictions on Acquisition of Control. Under FSMA, the prior consent of the PRA or FCA, as applicable, is required, before any person can become a controller or increase its control over any regulated company, including Arch Insurance (U.K.), or over the parent undertaking of any regulated company. Therefore, the PRA's or FCA's prior consent, as applicable, is required before any person can become a controller of Arch Capital. Prior consent is also required from Lloyd’s before any person can become a controller or increase its control over a corporate member or a managing agent or a parent undertaking of a corporate member or managing agent. A controller is defined for these purposes as a person who holds (either alone or in concert with others) 10% or more of the shares or voting power in the relevant company or its parent undertaking.
Restrictions on Payment of Dividends. Under English law, all companies are restricted from declaring a dividend to their shareholders unless they have “profits available for distribution.” The calculation as to whether a company has
sufficient profits is based on its accumulated realized profits minus its accumulated realized losses. U.K. insurance regulatory laws do not prohibit the payment of dividends, but the PRA or FCA, as applicable, requires that insurance companies, insurance intermediaries and other regulated entities maintain certain solvency margins and may restrict the payment of a dividend by Arch Insurance (U.K.) or AMAL, for example.
European Union Considerations. During the Transition Period, there was no change in passporting rights for financial institutions in the U.K. Under our Brexit plan, since January 2020 nearly all of the EEA insurance business of Arch Insurance (U.K.) has been conducted by Arch Insurance (EU). As part of our Brexit planning, and in advance of the Transition Period expiring, a transfer of the EEA legacy business (excluding inwards reinsurance) from Arch Insurance (U.K.) to Arch Insurance (EU) was completed under Part VII of the U.K. Financial Services and Market Act 2000 at the end of December 2020 (“Part VII Transfer”).
Despite the loss of passporting rights, AMAL, Syndicate 2012 and Syndicate 1955 are still able to write business in the EEA via the Lloyd’s Insurance Company, S.A. (“Lloyd’s Brussels”). Lloyd’s continued to engage in discussions with the Belgium Financial Services Markets Authority (“Belgium FSMA”) and the National Bank of Belgium regarding the Lloyd’s Brussels operating model and the activities performed for it by managing agents and the question of whether it is possible that they could be construed as constituent insurance distribution under the Insurance Distribution Directive (Directive (EU) 2016/97) (“IDD”), which would therefore require them to be authorized within the EEA.
Economic relations between the U.K. and the EU are now governed by a Trade and Cooperation Agreement (the “TCA”). Following a report published by the European Affairs Committee in June 2022, which found that the TCA is limited in scope and silent as to EU equivalence in decisions over financial services, a Memorandum of Understanding (“MoU”) on regulatory cooperation between the U.K. and the EU was signed in June 2023. However, the MoU does not impose binding substantive commitments nor is there any mention of taking forward the commitment in the Political Declaration accompanying the TCA regarding mutual equivalence. As a result, under the provisions of the TCA, EEA financial institutions (including our Irish operating subsidiaries) lost their passporting rights into the U.K. Absent any future agreement between the U.K. and the EU on the provision of financial services into the U.K., the post-Brexit status and rules applicable to U.K. branches of EEA financial institutions will be primarily driven by U.K. law and regulation.

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The ability of U.K. firms (including, Arch Insurance (U.K.) and AMAL) to continue doing business in the EEA similarly depends on applicable EEA state local law and regulation. There has been no decision yet made by the European Commission on whether or not the U.K.’s financial services regulatory regime will be granted third-country equivalence for the purposes of reinsurance, solvency calculation and/or group supervision under Solvency II. In the absence of such declarations, U.K. firms are subject to more stringent requirements in carrying out reinsurance business with EEA firms. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—New legislation or regulations relating to the U.K.’s withdrawal from the EU could adversely affect us.”
ESG Considerations. The U.K. government has a long-term ambition to “green” the financial system and align it with the U.K.’s 2050 “Net Zero” target (i.e.,100% greenhouse gas emissions reduction) under the Climate Change Act 2008. As part of those efforts, on January 17, 2022, the U.K. passed mandatory climate related financial disclosure requirements under the Companies (Strategic Report) (Climate-related Financial Disclosure) Regulations 2022. The regulations apply to large companies (including some of our U.K. entities) for financial years starting on or after April 6, 2022. The regulations generally align risk disclosures with the recommendations of the Taskforce on Climate-related Financial Disclosures (“TCFD”).
In 2021, the U.K. government published its Greening Finance Roadmap to Sustainable Investing (the “Roadmap”), which announced proposals to extend the scope of the U.K.’s sustainable finance framework beyond climate change. Further to the Roadmap, the FCA issued its final Policy Statement on its sustainability disclosure requirements and the investment labels regime. The FCA is, among other things, introducing a general ‘anti-greenwashing’ rule to clarify that sustainability-related claims must be clear, fair and not misleading. The general ‘anti-greenwashing’ rule comes into force on May 31, 2024 and the FCA is also consulting on new guidance on the expectations for FCA-authorized firms subject to the general ‘anti-greenwashing rule’ which will take effect at the same time.
In October 2023, the Green Technical Advisory Group ("GTAG") published its final advice to the U.K. government on the development of the U.K. Green Taxonomy. Whilst not binding, the GTAG advice gives a likely indication as to what the U.K. Green Taxonomy may look like and how it might differ from the EU Sustainable Finance Taxonomy Regulation (“EU Taxonomy”). The GTAG final report outlines sustainable governance arrangements for the U.K. Green Taxonomy and sets out various options for achieving this. The recommended “least regrets” option involves the U.K. government establishing an advisory body to facilitate implementation and development. If the GTAG advice is
adopted, the U.K. Green Taxonomy should align with the EU Taxonomy except where doing so impact the simplicity or usability of the activity classification system or increases the risk of greenwashing.
On December 14, 2022, the U.K. government said it would delay secondary legislation under the taxonomy regulations (originally anticipated by the end of 2022). Instead, the U.K. will restate EU law around the taxonomy and take additional time to decide the U.K.’s approach. In addition, Lloyd’s has mandated that managing agents must create an ESG framework and strategy, which was to be considered in the 2023 business planning cycle. Lloyd’s has also imposed ESG focused outcomes by way of the Principles with a particular focus on culture, investment and underwriting profitability. See “Lloyd’s Supervision” above for additional details.
Russian Sanctions. Since the Russian invasion of Ukraine in February 2022, the U.K. government has instituted a new sanctions regime targeting Russia. The sanctions imposed include prohibitions on providing financial services (including insurance and reinsurance) to persons connected with Russia in relation to certain restricted goods and services, and the freezing of assets owned or controlled by designated persons. The U.K., U.S. and EU often consult with each other with respect to their respective sanctions programs.
Privacy and Cybersecurity. The U.K. has implemented the European General Data Protection Regulation (“EU GDPR”) as the U.K. GDPR which sits alongside the U.K. Data Protection Act 2018 (the “U.K. GDPR”). The U.K. GDPR has direct effect where an entity is established in the U.K. (as applicable) and has extra-territorial effect where an entity established outside of the U.K. processes personal data in relation to the offering of goods or services to individuals in the EEA and/or the U.K. or the monitoring of their behavior. The U.K. GDPR imposes obligations on controllers, including, among others: (i) accountability and transparency requirements, requiring controllers to demonstrate and record compliance with the GDPR and to provide detailed information to individuals regarding the processing of their personal data; (ii) requirements to process personal data lawfully including specific requirements for obtaining valid consent where consent is the legal basis for processing; (iii) obligations to consider data protection when any new products or services are developed and designed (e.g., to limit the amount of personal data processed); (iv) obligations to comply with individuals’ data protection rights including a right: (a) of access to, erasure of, or rectification of personal data, (b) to restriction of processing or to withdraw consent to processing, (c) to object to processing or to ask for a copy of personal data to be provided to a third party, and (d) not to be subject to solely automated decision-making; and (v) an obligation to report personal data breaches to: (i) the data protection supervisory authority without undue delay (and no

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later than 72 hours) after becoming aware of the personal data breach, unless the personal data breach is unlikely to result in a risk to the data subjects’ rights and freedoms; and (ii) affected individuals, where the personal data breach is likely to result in a high risk to their rights and freedoms. Processors are required to notify the controller without undue delay after becoming aware of a personal data breach.
The U.K. GDPR also imposes similar international data transfer restrictions to the EU (see below) on transfers of personal data from the U.K. to jurisdictions that the U.K. government does not consider adequate, including the U.S. The U.K. government has published its own form of the EU Standard Contractual Clauses (“SCCs”), known as the International Data Transfer Agreement and an International Data Transfer Addendum to the new EU SCCs. Further, on September 21, 2023, the U.K. Government established a U.K.-U.S. data bridge or adequacy decision, through the U.K. extension to the EU-U.S. Data Privacy Framework (“DPF”). Effective as of October 12, 2023, U.S. organizations which self-certify to the DPF can now transfer personal data from the U.K. to the U.S. without using SCCs.
The U.K. Information Commissioner’s Office (“ICO”) has the power under the GDPR to (amongst other things) impose fines for serious breaches of up to the higher of 4% of the organization’s annual worldwide turnover or £17.5 million. Individuals also have a right to compensation, as a result of an organization’s breach of the U.K. GDPR which has affected them, for financial or non-financial losses (e.g., distress).
Cybersecurity requirements are laid down in the U.K. GDPR, which requires controllers and processors to implement appropriate technical and organizational measures to safeguard personal data to a level of security appropriate to the data protection risk.
The U.K. GDPR does not provide for a specific set of cybersecurity requirements or measures to be implemented, but rather requires a controller or processor to implement appropriate cyber and data security measures in accordance with the then-current risk, the state of the art, the costs of implementation and the nature, scope, context and purposes of the processing. The U.K. GDPR however does explicitly require that controllers notify personal data breaches under certain circumstances.
Artificial Intelligence. The U.K. has adopted a “soft law” approach to AI regulation meaning it has not adopted formal legislation to regulate AI but has adopted soft law guidelines in the form of a White Paper published on March 29, 2023. The U.K. intends to develop a sector-specific, principle centered approach to AI regulation, with the relevant sectors being responsible for enforcement.
Ireland
General. The CBI regulates insurance and reinsurance companies and intermediaries authorized in Ireland. Our three Irish operating subsidiaries are Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe Limited (“Arch Underwriters Europe”). Arch Re Europe was licensed and authorized by the CBI as a non-life reinsurer in October 2008 and as a life reinsurer in November 2009. Arch Insurance (EU) was licensed and authorized by the CBI as a non-life insurer in December 2011. As part of our Brexit plan, Arch Insurance (EU) received approval from the CBI to expand the nature of its business in 2019 and commenced writing expanded insurance lines in the EEA in 2020 with the Part VII Transfer completed at the end of December 2020. Arch Underwriters Europe was registered by the CBI as an insurance and reinsurance intermediary in July 2014. Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe are subject to the supervision of the CBI and must comply with Irish insurance acts and regulations as well as with directions and guidance issued by the CBI.
Arch Re Europe and Arch Insurance (EU) are required to comply with Solvency II requirements. See “European Union —Insurance and Reinsurance Regulatory Regime” below for additional details. As an intermediary, Arch Underwriters Europe is subject to a different regulatory regime and is not subject to solvency capital rules but must comply with requirements such as to maintain professional indemnity insurance and to have directors that are fit and proper. Our Irish subsidiaries are also subject to the general body of Irish company laws and regulations including the provisions of the Companies Act 2014.
The CBI operates a risk-based supervision framework, entitled PRISM, in respect to its regulation of Irish regulated entities. Under PRISM, the CBI applies an impact rating to each entity it regulates, ranging from Low to High, based on the nature, scale and complexity of its business. The level of supervision applied by the CBI is commensurate with the impact rating applied under PRISM with higher rated entities subject to more focused supervision engagement from the CBI on a more frequent basis.
Financial Resources. Arch Re Europe and Arch Insurance (EU) are required to meet economic risk-based solvency requirements imposed under Solvency II. Solvency II, together with European Commission “delegated acts” and guidance issued by EIOPA sets out classification and eligibility requirements, including the features which capital must display in order to qualify as regulatory capital.
Restrictions on Acquisitions. Under Irish law, the prior consent of the CBI is required before any person can acquire or increase a qualifying holding in an Irish insurer or reinsurer, including Arch Insurance (EU) and Arch Re

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Europe, or their parent undertakings. A qualifying holding is defined for these purposes as a direct or indirect holding that represents 10% or more of the capital of, or voting rights, in the undertaking or makes it possible to exercise a significant influence over the management of the undertaking.
Restrictions on Payment of Dividends. Under Irish company law, Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe are permitted to make distributions only out of profits available for distribution. A company’s profits available for distribution are its accumulated, realized profits, so far as not previously utilized by distribution or capitalization, less its accumulated, realized losses, so far as not previously written off in a reduction or reorganization of capital duly made. Further, the CBI has powers to intervene if a dividend payment were to lead to a breach of regulatory capital requirements.
In response to the COVID-19 pandemic, the CBI issued guidance in April 2020, based on guidance issued by EIOPA, that insurance firms postpone any payment of dividend distributions or similar transactions until they can forecast their costs and future revenues with a greater degree of certainty. However, the CBI modified its guidance, with effect from October 1, 2021, so that the general restrictions on the payment of dividend distributions or variable remuneration are no longer in place. The CBI still requires (re)insurance firms to notify it in advance of any proposed distribution.
European Union Considerations. As Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe are authorized by the CBI in Ireland, a Member State of the EU, those authorizations are recognized throughout the EEA. Subject only to certain notification and application requirements, Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe can provide services, or establish a branch, in any other Member State of the EEA. Although, in doing so, they may be subject to the laws of such Member States with respect to the conduct of business in such Member State, company law registrations and other matters, they will remain subject to financial and operational supervision by the CBI only. Arch Insurance (EU) has branches in Italy and the U.K. Arch Re Underwriting ApS in Denmark (“Arch Re Denmark”) is an underwriting agency underwriting accident and health and other reinsurance business for Arch Re Europe. Arch Re Europe also has branches in the U.K. and Switzerland (“Arch Re Europe Swiss Branch”).
From January 1, 2021, under the provisions of the TCA our Irish regulated entities have lost their passporting rights into the U.K. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—New legislation or regulations relating to the U.K.’s withdrawal from the EU could adversely affect us.”
ESG Considerations. ESG matters have been on the CBI's agenda for a number of years. In November 2021, the CBI issued its expectations in respect of climate and broader ESG issues for all regulated firms in Ireland (including (re)insurers). The CBI's expectations focus on five key areas: governance, risk management, scenario analysis (including, but not limited to, stress testing for the purposes of the ORSA), disclosures and strategy and business model risk. The CBI has indicated that its expectations will be applied in a proportionate manner. In August 2022, the CBI published a Consultation Paper setting out its proposed guidance on climate change risk for the (re)insurance sector. The finalized guidance was published by the CBI in March 2023 and clarifies the CBI’s expectations on how (re)insurers should address climate change risks in their business and to assist (re)insurers develop their governance and risk management frameworks to do this. It is expected that over time, disclosures in respect to ESG matters may be captured in the Solvency and Financial Condition Reports of Arch's Irish entities. Arch continues to consider the impact of this guidance on its Irish entities. See also “European Union – ESG Considerations.”
Irish Individual Accountability Framework Act 2023. The Central Bank (Individual Accountability Framework) Act 2023 (the “IAF Act”) was signed into law in March 2023 with the relevant provisions and obligations under the IAF Act coming into effect on a phased basis. The majority of provisions came into effect in December 2023, with remaining provisions coming into effect on July 1, 2024 and July 1, 2025. The IAF Act implements substantive changes to the fitness and probity regime maintained by the CBI in Ireland and imposes certain additional obligations and liability for senior executives in Irish regulated financial service entities, including (re)insurance companies. Arch has considered the impact of the IAF Act on its business and has catered for this accordingly. See Item 1, “Business—Regulation, European Union – ESG Considerations.”
Third Country Governance Arrangements. In September 2023, in response to a supervisory statement issued by EIOPA in February 2023 on the use of third country governance arrangements (such as branches) by EU authorized (re)insurers, the CBI published its formal views on the use of third country governance arrangements. The CBI’s key expectations are that (i) third country branches should primarily serve the market in which they are established, with their sole objective to not simply support an Irish based (re)insurer and (ii) third country governance arrangements should not undermine the substance of Irish based (re)insurers. The CBI instructed Irish (re)insurers to review their current business models in light of EIOPA’s supervisory statement and the CBI’s own expectations. Arch reviewed, and continues to consider, the impact of this supervisory statement on its Irish and European operations.

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European Union
Insurance and Reinsurance Regulatory Regime. Solvency II took effect in full on January 1, 2016. Solvency II imposes economic risk-based solvency requirements across all EU Member States and consists of three pillars: Pillar I-quantitative capital requirements, based on a valuation of the entire balance sheet; Pillar II-qualitative regulatory review, which includes governance, internal controls, enterprise risk management and supervisory review process; and Pillar III-market discipline, which is accomplished through reporting of the insurer’s financial condition to regulators and the public. Solvency II is supplemented by European Commission Delegated Regulation (EU) 2015/35 (the “Delegated Regulation”), other European Commission “delegated acts” and binding technical standards, and guidelines issued by EIOPA. The Delegated Regulation sets out more detailed requirements for individual insurance and reinsurance undertakings, as well as for groups, based on the overarching provisions of Solvency II, which together make up the core of the single prudential rulebook for insurance and reinsurance undertakings in the EU.
In December 2020, EIOPA provided an opinion to the European Commission in relation to the review of the Solvency II regime. This review was initiated by the European Commission to determine whether the Solvency II regime remains fit for purpose. In its opinion, EIOPA confirms that the overall Solvency II framework is working well from a prudential perspective, suggesting that there are no fundamental changes needed but that a number of amendments are required to ensure the regime continues as a well-functioning risk-based regime. In September 2021, the European Commission published legislative proposals for amendments to the Solvency II Directive arising out of EIOPA's review of the Solvency II regime. The proposed amendments cover a number of areas including proportionality, quality of supervision, sustainability risks and group and cross-border supervision. The European Parliament and the Council reached provisional agreement on the Solvency II amendments in December 2023, with formal approval expected in 2024.
In addition to the above Solvency II reform proposals, the European Commission continues to promote the development of the Insurance Recovery and Resolution Directive (“IRRD”). The proposal aims to harmonize national laws on recovery and resolution of (re)insurance undertakings. In December 2023, the European Parliament and Council reached provisional agreement on the IRRD. Currently, it is anticipated that the IRRD will enter into force during the course of 2024. It should be noted that the CBI has already introduced certain insurance recovery requirements under Irish law that apply to Arch’s Irish operations, including the preparation of recovery plans. We will continue to monitor
the development of the IRRD and its potential impact on our operations.
Following entry into the TCA by the U.K. and the EU, and the U.K.’s withdrawal from the EU under the provisions of the TCA, U.K. financial institutions have lost their passporting rights into the EU. It was originally envisaged that there would be a level of cooperation in relation to financial services, to be reflected in a MoU between the U.K. and the EU. However, the text of the MoU does not impose any binding substantive commitments nor is there any mention of taking forward the commitment in the Political Declaration accompanying the TCA regarding mutual equivalence.
In early February 2023, EIOPA issued its finalized Supervisory Statement on the use by EU-authorized (re)insurers of governance arrangements (such as branches) in third countries to perform functions or activities in respect of EU policyholders and risks. Arch is assessing the impact of the Supervisory Statement on its EU operations. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—New legislation or regulations relating to the U.K.’s withdrawal from the EU could adversely affect us.”
Arch Re Europe and Arch Insurance (EU), being established in Ireland and authorized by the CBI, are able to establish branches and provide reinsurance services and, in respect of Arch Insurance (EU), insurance services in all EEA states. This is subject to certain regulatory notifications and there being no objection from the CBI and the Member States concerned.
Solvency II does not prohibit EEA insurers from obtaining reinsurance from reinsurers licensed outside the EEA, such as Arch Re Bermuda. As such, and subject to the specific rules in each Member State, Arch Re Bermuda may do business from Bermuda with insurers in EEA Member States, but it may not directly operate its reinsurance business within the EEA. Article 172 of Solvency II provides that reinsurance contracts concluded by insurance undertakings in the EEA with reinsurers having their head office in a country whose solvency regime has been determined to be equivalent to Solvency II shall be treated in the same manner as reinsurance contracts with undertakings in the EEA authorized under Solvency II. From January 1, 2016, Bermuda was deemed by the European Commission to be equivalent for Solvency II purposes. Solvency II also includes specific measures providing for the supervision of insurance and reinsurance groups. However, as a consequence of the above determination of equivalence, pursuant to Article 260 of Solvency II, regulators within the EEA are required to rely on the worldwide group supervision exercised by the BMA. EIOPA has also indicated that, on a case by case basis, groups subject to this worldwide supervision may be exempted from any EEA sub-group

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supervision, where this results in more efficient supervision of the group and does not impair EEA supervisors in respect of their individual responsibilities.
The IDD was published in February 2016. EEA Member States were required to transpose the IDD by October 1, 2018. The IDD replaces the existing Insurance Mediation Directive. The IDD applies to all distributors of insurance and reinsurance products (including insurers and reinsurers selling directly to customers) and strengthens the regulatory regime applicable to distribution activities through increased transparency, information and conduct requirements. The principal impact of the IDD is on the insurance market, however, requirements that apply across insurance and reinsurance include more specific conditions regarding knowledge and continuing professional development for those involved in distribution of (re)insurance products. The IDD continues the pre-existing ability of intermediaries established in a Member State of the EU to establish branches and provide services to all EEA states. Arch Underwriters Europe, being established in Ireland and authorized by the CBI, is able, subject to regulatory notifications and there being no objection from the CBI, to establish branches and provide services in all EEA states.
Privacy and Cybersecurity. The EU GDPR came into effect on May 25, 2018. The EU GDPR governs the collection, use, disclosure, transfer or other processing of personal data. Its scope extends to certain entities not established in the EEA if they process personal data or offer goods or services to, or monitor the behavior of, EEA data subjects. The EU GDPR contains a number of requirements regarding the processing of personal data about individuals, including mandatory security breach reporting, new and strengthened individual rights, evidenced data controller accountability for compliance with the GDPR principles (including fairness and transparency), maintenance of data processing activity records and the implementation of “privacy by design,” including through the completion of mandatory Data Protection Impact Assessments in connection with higher risk data processing activities.
In addition, the EU GDPR increases scrutiny of transfers of personal data to jurisdictions which the European Commission does not recognize as having “adequate” data protection laws. In particular, on July 16, 2020, the Court of Justice of the EU (Court of Justice) in Schrems II invalidated the European Union-United States (EU-U.S.) Privacy Shield on the grounds that the EU-U.S. Privacy Shield failed to offer adequate protections to EU personal information transferred to the U.S. While the Court of Justice upheld the use of other data transfer mechanisms, such as the Standard Contractual Clauses (“EU SCCs”), the decision has led to some uncertainty regarding the use of such mechanisms for data transfers to the U.S., and the Court of Justice made clear that reliance on EU SCCs alone may not necessarily be sufficient
in all circumstances. The European Data Protection Board issued additional guidance regarding international transfers which may require us to implement additional safeguards to further enhance the security of data transferred out of the EEA. The European Commission published new versions of the EU SCCs in June 2021, which place onerous obligations on the parties. On October 7, 2022, the U.S. President introduced an Executive Order to facilitate a new Trans-Atlantic Data Privacy Framework to act as a successor to the invalidated EU-U.S. Privacy Shield. On July 10, 2023, the European Commission adopted an adequacy decision relating to the transfer of personal data from the EU to the U.S. which takes place under the DPF. The DPF is the successor to the EU-U.S. Privacy Shield and allows companies that participate in the DPF to transfer personal data freely to the U.S. without the need for alternative data protection transfer mechanisms (such as SCCs or binding corporate rules).
The EU GDPR imposes substantial fines for breaches and violations (up to the greater of €20 million or 4% of global turnover). The EU GDPR allows data subjects and consumer associations to lodge complaints with supervisory authorities, seek judicial remedies and obtain compensation for damages resulting from violations of the EU GDPR.
Cybersecurity and information security are an area of increasing focus for the EU. The Digital Operational Resilience Act (“DORA”) entered into force in January 2023. The core aim of DORA is to prevent and mitigate cyber threats and sets uniform requirements for the security of network and information systems of financial sector entities (including (re)insurers) as well as critical third parties which provide ICT (information and communication technology)-related services, such as cloud platforms or data analytics services. In scope entities will be required to comply with the obligations set out under DORA from January 2025.
In addition to the above, EIOPA continues to publish detailed guidelines, recommendations and expectations relating to cyber matters and how these should be managed and considered by the (re)insurance sector.
Artificial Intelligence. On December 9, 2023, the EU Parliament and Council reached provisional agreement on the text of the Artificial Intelligence Act (the “EU AI Act”). The EU AI Act aims to regulate AI and will apply directly, on a phased basis, in all EU Member States. In February 2024, representatives of the governments of EU Member States signed off on the final text of the EU AI Act. A vote in the European Parliament on the adoption of the EU AI Act is expected in April 2024.
The EU AI Act will introduce a categorization system for AI risks with the level of protection linked to the level of risk posed by the relevant AI. Based on the final text, certain AI applications utilized by (re)insurers will fall within the scope

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of the EU AI Act and will be subject to regulation. Arch continues to monitor development of the EU AI Act and its potential impact on Arch’s operations.
ESG Considerations. A comprehensive package of measures to facilitate the progression towards sustainable economic activities was approved in principle by the European Commission in April 2021. In August 2021, two delegated regulations (the “EC Regulations”) amending sectoral legislation, including the Solvency II Directive and the IDD, were published. The EC Regulations focus on the integration of sustainability into key activities including product oversight and governance, risk management and suitability assessment procedures. The EC Regulations apply from August 2022.
The Corporate Sustainability Reporting Directive (“CSRD”), which replaces the Non-Financial Reporting Directive (“NFRD”), was published in the Official Journal of the EU on November 16, 2022 and entered into effect on January 5, 2023. Certain of our European subsidiaries are subject to NFRD. The CSRD expands the scope of sustainability reporting obligations to any European listed company or any company (including (re)insurers) meeting certain criteria. Companies which are already subject to NFRD must start reporting relevant information for financial years starting on or after January 1, 2024 beginning in 2025. Reporting obligations for other companies fulfilling certain criteria will commence in 2026 for financial years starting on or after January 1, 2025. In addition, the reporting standards under the CSRD, which provides in-scope companies with the technical detail on the information that will need to be disclosed and reported, were adopted by the European Commission in July 2023. Certain of our European entities will fall within the scope of certain reporting obligations under the CSRD.
An additional ESG framework, the EU Taxonomy, came into force in July 2020, with in-scope companies required to comply with certain reporting obligations from January 1, 2022. The EU Taxonomy (which is a classification standard for reporting) sets out six environmental objectives with which companies' economic activities must comply if they are to be described as environmentally sustainable. These six environmental objectives are: (1) climate change mitigation, (2) climate change adaptation, (3) sustainable use and protection of water and marine resources, (4) transition to a circular economy, (5) pollution prevention and control and (6) the protection and restoration of biodiversity and ecosystems. In addition, reporting obligations apply to in-scope companies regarding (1) the financial products they provide and (2) the environmental sustainability of an in-scope company's activities, which is to be disclosed in non-financial statements that are required under the NFRD and the CSRD.
In February 2022, the European Commission adopted a proposal for the Corporate Sustainability Due Diligence Directive (“CSDD”). Provisional agreement was reached between the European Parliament and Council in December 2023 however the text of the agreed CSDD has not yet been officially published. Formal approval of the CSDD is expected to be provided in early 2024. While the main focus of the CSDD is on conducting due diligence on human rights and environmental impacts within a company and across its value chain, there are also additional sustainability requirements for certain in-scope entities. It is anticipated that certain obligations under the CSDD will apply to financial services entities (including (re)insurers) however it is expected that financial services entities (including (re)insurers) will be temporarily excluded from the obligation to conduct due diligence on their customers.We will closely monitor the continued development of the CSDD and its potential impact on Arch’s European operations.
In tandem with all of the above, EIOPA continues to engage with stakeholders in the (re)insurance sector and publish detailed guidelines, recommendations and expectations relating to ESG matters and how these should be managed and considered by the (re)insurance sector.
Russian Sanctions. Since February 2022, the EU has imposed significant sanctions on the Russian Federation in response to its invasion of Ukraine. These sanctions are similar to those imposed by the U.K. and U.S. Given the evolving situation, we are closely monitoring developments and the sanctions imposed, to ensure our European entities remain in compliance with any sanctions measures imposed.
Inflation. The EU has adopted a range of measures to combat unprecedented levels of inflation, with EIOPA issuing a supervisory statement outlining its expectations of (re)insurers on inflation-related issues in December 2022. We are monitoring ongoing developments and considering the impact of EU and EIOPA guidance on inflation on its business.
Third Country Governance Arrangements. In February 2023, EIOPA published a supervisory statement on the use by EU authorized (re)insurers of governance arrangements (such as branches) in third countries to perform functions or activities in respect of EU policyholders and risks. See also “Ireland – Third Country Governance Arrangements.”

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Switzerland
In December 2008, Arch Re Europe opened Arch Re Europe Swiss Branch as a branch office. As Arch Re Europe is domiciled outside of Switzerland and its activities are limited to reinsurance, the Arch Re Europe Swiss Branch in Switzerland is not required to be licensed by the Swiss insurance regulatory authorities.
In August 2014, Arch Underwriters Europe opened a branch office in Zurich (“Arch Underwriters Europe Swiss Branch”) to render reinsurance advisory services to certain group companies. Arch Underwriters Europe Swiss Branch is registered with the commercial register of the Canton of Zurich. Since its activities are limited to advisory services for reinsurance matters, the Arch Underwriters Europe Swiss Branch is not required to be licensed by the Swiss insurance regulatory authorities.
Australia
APRA is an independent statutory authority responsible for prudential supervision of institutions across banking, insurance and superannuation and promotes financial stability in Australia. Arch Indemnity has been authorized to conduct monoline lenders’ mortgage insurance business in Australia since June 2002 and was acquired by Arch Capital on August 30, 2021. Arch LMI, which was formerly authorized by APRA in January 2019 to conduct monoline lenders’ mortgage insurance business in Australia, relinquished its APRA authorization in December 2022 and has been converted to a services company for our Australian lenders mortgage insurance operations. Major regulatory requirements that are applicable to Arch Indemnity as a general insurance provider in Australia include requirements on minimum capital levels, remuneration practices, and compliance with corporate governance standards, including the risk management strategy for our Australian mortgage insurance business.
In addition to its APRA authorization, Arch Indemnity has been licensed by the Australian Securities and Investments Commission (“ASIC”) since March 2011 to engage in credit activities in Australia. Arch LMI has been licensed by ASIC since October 2023 as a Financial Services Licensee in Australia.
Our group also conducts property and casualty insurance business in Australia through Lloyd’s. This insurance business is managed by and distributed through local coverholders and is subject to Lloyd’s Supervision. In addition, the business is subject to local Australian prudential regulatory oversight by APRA, and additional separate financial services market conduct regulation by ASIC.
In addition, there are other Australian legislation and regulations applicable to the financial services sector that our group operates in, such as:
privacy legislation on the collection, use and storage of personal information and sensitive information of individuals and a mandatory data breach notification regime, which are overseen by the Office of the Australian Information Commissioner;
cyber security obligations imposed by APRA and ASIC as part of their respective licensing regimes for insurers, and also on larger insurers in Australia under Australian security of critical infrastructure legislation;
modern slavery legislation which imposes a statutory reporting regime for larger companies operating in Australia; and
anti-money laundering and counter-terrorism financing legislation, which is administered by the Australian Transaction Reports and Analysis Centre.
In Australia, businesses which develop and use AI are subject to various Australian laws relating to privacy, corporations and anti-discrimination which apply across all sectors of the economy. There are also financial services sector specific laws in Australia administered by APRA and ASIC which impact the development and deployment of AI in the sector in which our group operates, although such existing laws are technology-neutral.
The Australian Government has been undertaking consultation on “Safe and Responsible AI” regulation in Australia since June 2023. In January 2024, the Australian Government published its Interim Response to the consultation, which indicates that:
the Australian Government considers that Australia’s existing laws and current regulatory framework do not sufficiently address the risks presented by AI (particularly in “high-risk” applications and frontier models);
the Australian Government will seek to regulate AI (rather than relying solely on voluntary standards) by adopting a risk-based regulatory approach to implement additional guardrails for AI in “high-risk” settings;
the Australian Government is currently undertaking work to strengthen existing laws in areas that will help to address known harms with AI, including proposed privacy law reform.
The Australian Government’s final regulatory response to AI is subject to further consultation with industry before either amending existing laws or implementing new laws to regulate AI in Australia.

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Hong Kong
The insurance industry is regulated by Hong Kong Insurance Authority (“HKIA”), whose principal function is to regulate and supervise the insurance industry for the promotion of the general stability of the insurance industry and for the protection of existing and potential policyholders. Arch MI Asia Limited (“Arch MI Asia”) is not writing new business but is authorized to carry on general business Class 14 (Credit) and Class 16 (Miscellaneous Financial Loss), in or from Hong Kong.
Major regulatory requirements that are applicable to Arch MI Asia as a general business insurer include requirements on minimum paid-up capital, minimum solvency margin and maintenance of assets in Hong Kong.
TAX MATTERS
The following summary of the taxation of Arch Capital and the taxation of our shareholders is based upon current law and is for general information only. Legislative, judicial or administrative changes may be forthcoming that could affect this summary.
The following legal discussion (including and subject to the matters and qualifications set forth in such summary) of certain tax considerations (a) under “—Taxation of Arch Capital—Bermuda” and “—Taxation of Shareholders—Bermuda” is based upon the advice of Conyers Dill & Pearman Limited, Hamilton, Bermuda and (b) under “—Taxation of Arch Capital-United States,” “—Taxation of Shareholders-United States Taxation,” “—Taxation of Our U.S. Shareholders” and “—United States Taxation of Non-U.S. Shareholders” is based upon the advice of White & Case LLP, New York, New York (the advice of such firms does not include accounting matters, determinations or conclusions relating to the business or activities of Arch Capital). The summary is based upon current law and is for general information only. The tax treatment of a holder of our common or preferred shares, or of a person treated as a holder of our shares for U.S. federal income, state, local or non-U.S. tax purposes, may vary depending on the holder’s particular tax situation. Legislative, judicial or administrative changes or interpretations may be forthcoming that could be retroactive and could affect the tax consequences to us or to holders of our shares.
Taxation of Arch Capital
Bermuda. Under current Bermuda law, Arch Capital does not pay any tax on income or profits, and is not subject to payment of any tax on withholding, capital gains or capital transfers. Arch Capital has obtained from the Minister of Finance under the Exempted Undertakings Tax Protection Act 1966 of Bermuda an assurance that, in the event that
Bermuda enacts legislation imposing tax computed on profits, income, any capital asset, gain or appreciation, or any tax in the nature of estate duty or inheritance, the imposition of any such tax shall not be applicable to Arch Capital or to any of our operations or our shares, debentures or other obligations until March 31, 2035. However, on December 27, 2023, the Government of Bermuda enacted the Bermuda CIT Act, which will become effective for tax years beginning on or after January 1, 2025. Given the potential for the new corporate income tax regime in Bermuda to supersede the Minister of Finance’s assurance, the Company is likely to become subject to taxes in Bermuda before March 31 ,2035. See Item 1A,“Risk Factors — Risks Relating to Taxation” for additional information. We pay annual Bermuda government fees, and our Bermuda insurance and reinsurance subsidiary pays annual insurance license fees. In addition, all entities employing individuals in Bermuda are required to pay a payroll tax and other sundry taxes payable, directly or indirectly, to the Bermuda government.
United States. Arch Capital and its non-U.S. subsidiaries believe they have conducted their operations and currently intend to conduct their operations going forward in a manner that has not caused them and will not cause them to be treated as engaged in a trade or business in the U.S. and, therefore, has not been and will not be required to pay U.S. federal income taxes (other than U.S. excise taxes on insurance and reinsurance premiums and withholding taxes on dividends and certain other U.S. source investment income). However, because definitive identification of activities which constitute being engaged in a trade or business in the U.S. is not provided by the Internal Revenue Code of 1986, as amended (the “Code”), U.S. Treasury regulations (“Treasury Regulations”) or court decisions, there can be no assurance that our position on being engaged in a trade or business in the U.S. is correct. A foreign corporation deemed to be so engaged would be subject to U.S. federal income tax, as well as the branch profits tax, on its income, which is treated as effectively connected with the conduct of that trade or business unless the corporation is entitled to relief under a tax treaty. Such income tax, if imposed, would be based on effectively connected income computed in a manner generally analogous to that applied to the income of a domestic corporation, except that deductions and credits generally are not permitted unless the foreign corporation has timely filed a U.S. federal income tax return in accordance with applicable Treasury Regulations. Penalties may be assessed for failure to file tax returns. In addition, in such case, a 30% branch profits tax would be imposed on net income after subtracting the regular corporate tax and making certain other adjustments.
Under the income tax treaty between Bermuda and the U.S. (the “Treaty”), Arch Capital's Bermuda insurance subsidiaries will be subject to U.S. income tax on any insurance premium income that is effectively connected with

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a U.S. trade or business only if that trade or business is conducted through a permanent establishment in the U.S. No Treasury Regulations interpreting the Treaty have been issued. While there can be no assurances, Arch Capital does not believe that any of its Bermuda insurance subsidiaries has a permanent establishment in the U.S. Such subsidiaries would not be entitled to the benefits of the Treaty if (i) 50% or less of Arch Capital's shares were beneficially owned, directly or indirectly, by Bermuda residents or U.S. citizens or residents, or (ii) any such subsidiary's income were used in substantial part to make disproportionate distributions to, or to meet certain liabilities to, persons who are not Bermuda residents or U.S. citizens or residents. While Arch Capital believes that its Bermuda insurance subsidiaries have been eligible for Treaty benefits to date, there can be no assurance that this is the case or that the Bermuda insurance subsidiaries will continue to be eligible for Treaty benefits.
The Treaty clearly applies to premium income but may be construed as not protecting investment income. If Arch Capital’s Bermuda insurance subsidiaries were considered to be engaged in a U.S. trade or business and were entitled to the benefits of the Treaty in general, but the Treaty were not found to protect investment income, a portion of such subsidiaries’ investment income could be subject to U.S. federal income tax.
Non-U.S. insurance companies carrying on an insurance business within the U.S. have a certain minimum amount of effectively connected net investment income, determined in accordance with a formula that depends, in part, on the amount of U.S. risk insured or reinsured by such companies. If any of Arch Capital's non-U.S. insurance subsidiaries is considered to be engaged in the conduct of an insurance business in the U.S., a significant portion of such subsidiary’s investment income could be subject to U.S. federal income tax.
Non-U.S. corporations not engaged in a trade or business in the U.S. are nonetheless subject to U.S. income tax on certain “fixed or determinable annual or periodic gains, profits and income” derived from sources within the U.S. as enumerated in Section 881(a) of the Code (such as dividends and certain interest on investments), subject to exemption under the Code or reduction by an applicable treaty.
The U.S. also imposes an excise tax on insurance and reinsurance premiums paid to non-U.S. insurers or reinsurers with respect to risks located in the U.S. The rates of tax, unless reduced by an applicable U.S. tax treaty, are 4% for non-life insurance premiums and 1% for life insurance and all reinsurance premiums.
The Tax Cuts and Jobs Act of 2017 (the “Tax Cuts Act”) was signed into law by the President of the United States in 2017. For taxable years beginning after 2017, the Tax Cuts Act
imposes a 10% minimum base erosion and anti-abuse tax (increased to 12.5% for taxable years after 2025) on the “modified taxable income” of a U.S. corporation (or a non-U.S. corporation engaged in a U.S. trade or business) over such corporation’s regular U.S. federal income tax, reduced by certain tax credits. The “modified taxable income” of a corporation is determined without deduction for certain payments by such corporation to its non-U.S. affiliates (including reinsurance premiums). Final Treasury Regulations interpreting the base erosion and anti-abuse tax were issued in December 2019 and October 2020.
United Kingdom. Our U.K. subsidiaries are companies that are incorporated and have their central management and control in the U.K. and are therefore resident in the U.K. for corporation tax purposes. As a result, they are subject to U.K. corporation tax on their respective profits. The U.K. branches of Arch Re Europe and Arch Insurance (EU) are subject to U.K. corporation tax on the profits (both income profits and chargeable gains) attributable to each branch. The blended rate of U.K. corporation tax for the 2023 financial year is approximately 23.5% on profits (the rate increased from 19% to 25% with effect from April 1, 2023).
Canada. Arch Insurance Canada is taxed on its worldwide income. Arch Re U.S. is taxed on its net business income earned in Canada. The general federal corporate income tax rate in Canada is currently 15%. Provincial and territorial corporate income tax rates are added to the general federal corporate income tax rate and generally vary between 8% and 16%.
Ireland. Each of Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe is incorporated and resident in Ireland for corporation tax purposes and will be subject to Irish corporate tax on worldwide profits, including the profits of the branches of Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe. Any foreign branch corporate tax payable is creditable against Arch Re Europe’s Irish corporate tax liability on the results of Arch Re Europe’s branches with the same principle applied to Arch Insurance (EU)’s branches and Arch Underwriters Europe’s branches. The current rate of Irish corporation tax applicable to such trading profits is 12.5%.
Switzerland. Arch Re Europe Swiss Branch and Arch Underwriters Europe Swiss Branch are subject to Swiss corporation tax on the profit which is allocated to each branch. The effective tax rate is approximately 19.65% for Swiss federal, cantonal and communal corporation taxes on the profit. The effective tax rate of the annual cantonal and communal capital taxes on the equity which is allocated to Arch Re Europe Swiss Branch and Arch Underwriters Europe Swiss Branch is approximately 0.17%.

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Denmark. Arch Re Denmark, established as a subsidiary of Arch Re Bermuda, is subject to Danish corporation taxes on its profits at a rate of 22%.
Hong Kong. Arch MI Asia is subject to Hong Kong corporate tax on its assessable profits at a rate of 16.5%. Assessable profits are the net profits for the basis period, arising in or derived from Hong Kong.
Australia. Arch LMI and Arch Indemnity, Australian incorporated and tax resident companies, are subject to Australian corporate tax on its worldwide profits. The current rate of Australian corporation tax applicable to such profits is 30%.
OECD’s Pillar II.

Under Pillar II, a global minimum tax at the rate of 15% would be imposed on certain in-scope entities. Under the European Union’s minimum tax directive, unanimously agreed by the member states in 2022, each member state is required to adopt domestic legislation implementing the minimum tax rules effective for periods beginning on or after December 31, 2023, with the “under-taxed profit rule” to take effect for periods beginning on or after December 31, 2024. Legislatures in multiple countries outside of the European Union have also drafted legislation to implement the OECD’s minimum tax proposal.
Given the OECD's continued release of guidance regarding Pillar II, that only certain jurisdictions have currently enacted laws to give effect to Pillar II, and that jurisdictions may interpret such laws in different manners, the overall implementation of Pillar II remains uncertain and subject to change, possibly on a retroactive basis. Although certain jurisdictions in which we and our affiliates do business have enacted an “under-taxed profit rule”, such rule is only expected to take effect for taxable periods beginning on or after December 31, 2024. The adoption of the tax laws described above (in particular, the adoption of an “under-taxed profit rule” by certain countries in which we and our affiliates do business) are expected to result in an increase to our effective tax rate and aggregate tax liability. See Item 1A, “Risk Factors Risk Relating to Taxation” for additional information.
Taxation of Shareholders
Bermuda. Currently, there is no Bermuda withholding tax on dividends paid by us.
United States—General. The following summary sets forth certain U.S. federal income tax considerations related to the purchase, ownership and disposition of our common shares and our non-cumulative preferred shares (“preferred shares”). Unless otherwise stated, this summary deals only with shareholders (“U.S. holders”) that are U.S. Persons (as defined below) and to common shares and preferred shares
beneficially owned by such holder and held as capital assets. The following discussion is only a general summary of the U.S. federal income tax matters described herein and does not purport to address all of the U.S. federal income tax consequences that may be relevant to a particular shareholder in light of such shareholder’s specific circumstances. In addition, the following summary (except as to matters explicitly discussed therein) does not describe the U.S. federal income tax consequences that may be relevant to certain types of shareholders, such as banks, insurance companies, and other financial institutions, regulated investment companies, real estate investment trusts, financial asset securitization investment trusts, brokers, dealers or traders in securities, entities or arrangements classified as partnerships or pass-through entities for U.S. federal income tax purposes or holders of equity interests therein, tax exempt entities, “individual retirement accounts” or “Roth IRAs”, expatriates and former citizens or long-term residents of the United States, persons whose functional currency for U.S. federal income tax purposes is not the U.S. dollar, persons that own, directly, indirectly or constructively, ten percent (10%) or more of the total voting power or value of all of our outstanding shares, persons owning our common shares or preferred shares in connection with a trade or business conducted outside the United States, U.S. holders that hold our common shares or preferred shares through a non-U.S. broker or other non-U.S. intermediary, persons who hold our common shares or preferred shares as part of a hedging or conversion transaction or as part of a straddle or wash sale, who may be subject to special rules or treatment under the Code or persons required for U.S. federal income tax purposed to recognize income no later than such income is reported on such persons’ applicable financial statements, and persons subject to the alternative minimum tax. This discussion is based upon the Code, the Treasury Regulations promulgated there under and any relevant administrative rulings or pronouncements or judicial decisions, all as in effect on the date of this annual report and as currently interpreted and does not take into account possible changes in such tax laws or interpretations thereof, which may apply retroactively. This discussion does not include any description of the tax laws of any state or local governments within the U.S., or of any foreign government, that may be applicable to our common shares or preferred shares or the shareholders. There can be no assurance the U.S. Internal Revenue Service (“IRS”) or a court will not take a contrary position to that discussed below regarding the tax consequences of the purchase, ownership and disposition of our common shares and preferred shares. Persons holding or considering an investment in the common shares or preferred shares should consult their own tax advisors concerning the application of the U.S. federal tax laws to their particular situations as well as any tax consequences arising under the laws of any state, local or foreign taxing jurisdiction prior to making such investment.

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If an entity that is treated as a partnership holds our common shares or preferred shares, the tax treatment of a partner will generally depend upon the status of the partner and the activities of the partnership. If you are a partnership holding or considering an investment in our common shares or preferred shares or a partner therein, you should consult your tax advisor.
For purposes of this discussion, the term “U.S. Person” means a person that is, for U.S. federal income tax purposes:
an individual who is a citizen or resident of the U.S.;
a corporation created or organized under the laws of the U.S., any state thereof or the District of Columbia;
an estate, the income of which is subject to U.S. federal income taxation regardless of its source; or
a trust, if either (i) a court within the U.S. is able to exercise primary supervision over the administration of such trust and one or more U.S. persons have the authority to control all substantial decisions of such trust or (ii) the trust has a valid election in effect to be treated as a U.S. person for U.S. federal income tax purposes.
United States—Taxation of Dividends. The preferred shares should be properly classified as equity rather than debt for U.S. federal income tax purposes. Subject to the discussions below relating to the potential application of the controlled foreign corporation (“CFC”), “related person insurance income” (“RPII”) and passive foreign investment company (“PFIC”) rules, as defined below, cash distributions, if any, made with respect to our common shares or preferred shares will constitute dividends for U.S. federal income tax purposes to the extent paid out of our current or accumulated earnings and profits (as computed using U.S. tax principles). If a U.S. holder of our common shares or our preferred shares is an individual or other non-corporate holder, dividends paid, if any, to that holder that constitute qualified dividend income generally will be taxable at the rate applicable for long-term capital gains (generally up to 20%), provided that such person meets a holding period requirement. Generally, in order to meet the holding period requirement, the U.S. holder must hold the common shares for more than 60 days during the 121-day period beginning 60 days before the ex-dividend date and must hold preferred shares for more than 90 days during the 181-day period beginning 90 days before the ex-dividend date. Dividends paid, if any, with respect to common shares or preferred shares generally will be qualified dividend income, provided the common shares or preferred shares are readily tradable on an established securities market in the U.S. in the year in which the shareholder receives the dividend (which should be the case for shares that are listed on the Nasdaq Stock Market or the New York Stock Exchange) and Arch Capital is not considered to be a passive foreign investment company in either the year of the distribution or the preceding taxable year. No assurance can be given that the preferred shares will be considered readily
tradable on an established securities market in the U.S. See “—Taxation of Our U.S. Shareholders” below.
A U.S. holder that is an individual, estate or a trust that does not fall into a special class of trusts that is exempt from such tax, will be subject to a 3.8% tax on the lesser of (1) the U.S. holder’s “net investment income” for the relevant taxable year and (2) the excess of the U.S. holder’s modified adjusted gross income for the taxable year over a certain threshold (which in the case of individual will be between $125,000 and $250,000, depending on the individual’s circumstances). A U.S. holder’s net investment income generally will include its dividend income and its net gains from the disposition of our common shares and preferred shares, unless such dividend income or net gains are derived in the ordinary course of the conduct of a trade or business (other than a trade or business that consists of certain passive or trading activities).
Distributions with respect to the common shares and the preferred shares will not be eligible for the dividends received deduction allowed to U.S. corporations under the Code. To the extent distributions on our common shares and preferred shares exceed our earnings and profits, they will be treated first as a return of the U.S. holder's basis in our common shares and our preferred shares to the extent thereof, and then as gain from the sale of a capital asset.
United States—Sale, Exchange or Other Disposition. Subject to the discussions below relating to the potential application of the CFC, RPII and PFIC rules, U.S holders of common shares and preferred shares generally will recognize capital gain or loss, if any, for U.S. federal income tax purposes on the sale, exchange or other taxable disposition of common shares or preferred shares, as applicable in an amount equal to the difference between the amount realized on the sale, exchange or other taxable disposition and the U.S holder’s adjusted tax basis in the shares. Such gain or loss generally will be long term capital gain or loss if the U.S. holder’s holding period for the shares exceeds one year. Long-term capital gains of certain non-corporate U.S. holders (including individuals) are generally eligible for reduced rates of taxation. The deductibility of capital losses is subject to limitations.
United States—Redemption of Preferred Shares. A redemption of the preferred shares will be treated under Section 302 of the Code as a dividend to the extent we have earnings and profits allocable to such shares, unless the redemption satisfies one of the tests set forth in Section 302(b) of the Code enabling the redemption to be treated as a sale or exchange, subject to the discussion herein relating to the potential application of the CFC, RPII and PFIC rules. Under the relevant Code Section 302(b) tests, the redemption should be treated as a sale or exchange only if it (1) is substantially disproportionate, (2) constitutes a complete

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termination of the holder's stock interest in us or (3) is “not essentially equivalent to a dividend.” In determining whether any of these tests are met, shares considered to be owned by the holder by reason of certain constructive ownership rules set forth in the Code, as well as shares actually owned, must generally be taken into account. It may be more difficult for a U.S. holder who owns, actually or constructively by operation of the attribution rules, any of our other shares to satisfy any of the above requirements.
In order to meet the substantially disproportionate test, the percentage of our issued and outstanding voting shares actually and constructively owned by the U.S. holder immediately following the redemption of our shares must, among other requirements, be less than 80% of the percentage of our issued and outstanding voting shares actually and constructively owned by the U.S. holder immediately before the redemption. There will be a complete termination of a U.S. holder’s interest if either (i) all of our shares actually and constructively owned by the U.S. holder are redeemed or (ii) all of our shares actually owned by the U.S. holder are redeemed and the U.S. holder is eligible to waive, and effectively waives in accordance with specific rules, the attribution of shares owned by certain family members and the U.S. holder does not constructively own any other of our shares. The redemption of our shares will not be essentially equivalent to a dividend if such redemption results in a “meaningful reduction” of the U.S. holder’s proportionate interest in us. Whether the redemption will result in a meaningful reduction in a U.S. holder’s proportionate interest in us will depend on the particular facts and circumstances. However, the IRS has indicated in a published ruling that even a small reduction in the proportionate interest of a small minority shareholder in a publicly held corporation who exercises no control over corporate affairs may constitute such a “meaningful reduction.” The determination as to whether any of the alternative tests of Section 302(b) of the Code is satisfied with respect to a particular holder of the preferred shares depends on the facts and circumstances as of the time the determination is made.
If none of the foregoing tests are satisfied, then the redemption of any of our shares will be treated as a distribution and the tax effects will be as described under “—United States—Taxation of Dividends” above. After the application of those rules, any remaining tax basis of the U.S. holder in the redeemed shares will be added to the U.S. holder’s adjusted tax basis in its remaining shares, or, possibly, in other shares constructively owned by it. A U.S. holder should consult with its own tax advisors as to the tax consequences of a redemption of ours shares.
U.S. holders who actually or constructively own five percent or more of our shares (by vote or value) may be subject to special reporting requirements with respect to a redemption
of our shares, and such holders are urged to consult with their own tax advisors with respect to their reporting requirements.
Taxation of Our U.S. Shareholders
Controlled Foreign Corporation Rules. We or any of our non-U.S. subsidiaries generally will be treated as a CFC with respect to any taxable year if at any time during such taxable year, one or more “10% U.S. Shareholders” (as defined below) collectively own more than 50% of us or such non-U.S. subsidiary (as applicable) by vote or value (taking into account shares actually owned by such U.S. holder as well as shares attributed to such U.S. holder under the Code or the Treasury Regulations thereunder). Moreover, with respect to insurance income (including reinsurance income), the “more than 50%” requirement described in the preceding sentence is replaced with a more expansive “more than 25%” requirement. A 10% U.S. Shareholder means any U.S. Person who was considered to own, actually or constructively, 10% or more of the total combined voting power or total combined value of our shares or those of our non-U.S. subsidiaries (as applicable). As a result of a change in law for taxable years beginning after December 31, 2017, the voting cut-back limitation contained in our bye-laws that limits the votes conferred by the Controlled Shares (as defined in our bye-laws) of any U.S. Person to 9.9% of the total voting power of all our shares entitled to vote will not prevent any U.S. holder from being treated as a 10% U.S. Shareholder. Due to the repeal of Section 958(b)(4) of the Code under the Tax Cuts Act, all non-U.S. subsidiaries directly or indirectly owned by Arch Capital are treated as constructively owned by its U.S. subsidiaries, and therefore are treated as CFCs.
Status as a CFC would not cause us or any of our non-U.S. subsidiaries to be subject to U.S. federal income tax. Such status also would have no adverse U.S. federal income tax consequences for any U.S. holder that is not a 10% U.S. Shareholder with respect to us or any such non-U.S. subsidiary (as applicable). If we or any of our non-U.S. subsidiaries are or were a CFC with respect to any taxable year, a U.S. holder that is considered a 10% U.S. Shareholder would be subject to current U.S. federal income taxation (at ordinary income tax rates) to the extent of all or a portion of the undistributed earnings and profits of Arch Capital and our subsidiaries attributable to “subpart F income” (including certain insurance premium income and investment income) or global intangible low-taxed income and may be taxable at ordinary income tax rates on any gain recognized on a sale or other disposition (including by way of repurchase or liquidation) of our common shares or preferred shares to the extent of the current and accumulated earnings and profits attributable to such common shares or preferred shares.
Related Person Insurance Income Rules. In general, with respect to RPII (a limited category of insurance income, as defined below), the CFC rules are expanded in two

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significant respects. First, in determining CFC status, as well as determining which U.S. shareholders are subject to current taxation with respect to a CFC’s RPII (whether or not currently distributed), all U.S. shareholders (as opposed to only 10% U.S. Shareholders) are taken into account. Second, the amount of stock in a foreign corporation that all U.S. shareholders, in the aggregate, must own for such corporation to be treated as a CFC is reduced from more than 50% (by vote or value), and more than 25% (by vote or value) with respect to insurance income generally, to 25% or more (by vote or value). Generally, RPII is insurance income (including reinsurance income) of a foreign corporation with respect to which the insured is a United States shareholder of the foreign corporation or a related person to such a shareholder.
Under one exception to the foregoing RPII rules, U.S. shareholders are not required to include a CFC’s RPII currently in income if the CFC’s gross RPII is less than 20% of its total gross insurance income for the taxable year in question (the “RPII 20% gross income exception”).
Under current law, we currently expect each of our non-U.S. subsidiaries to satisfy the RPII 20% gross income exception, and therefore we currently do not expect any U.S. shareholder to be required to include RPII in income (although there can be no assurance that this is or will continue be the case). However, proposed Treasury Regulations issued on January 24, 2022, if finalized in their current form, would for the first time (on a prospective basis) expand the definition of RPII to include certain intercompany insurance income (including reinsurance income) in a manner that could cause certain of our foreign subsidiaries not to satisfy the RPII 20% gross income exception. In such event, (1) as noted above, all U.S. shareholders (not just 10% U.S. Shareholders) would be required to include RPII in income currently, whether or not distributed, and (2) as noted below, U.S. shareholders that are tax exempt entities would be required to treat such RPII inclusions as unrelated business taxable income. Current and prospective U.S. holders should consult their own tax advisors as to the potential impact of these proposed Treasury Regulations.
Section 953(c)(7) of the Code generally provides that Section 1248 of the Code (which generally would require a U.S. holder to treat certain gains attributable to the sale, exchange or disposition of common shares or preferred shares as a dividend) will apply to the sale or exchange by a U.S. shareholder of shares in a foreign corporation that is characterized as a CFC under the RPII rules if the foreign corporation would be taxed as an insurance company if it were a U.S. corporation, regardless of whether the U.S. shareholder is a 10% U.S. Shareholder or whether the corporation qualifies for the RPII 20% gross income exception. Although existing Treasury Regulations do not
address the question, proposed Treasury Regulations issued in April 1991 create some ambiguity as to whether Section 1248 and the requirement to file Form 5471 would apply when the non-U.S. corporation has a foreign insurance subsidiary that is a CFC for RPII purposes and that would be taxed as an insurance company if it were a domestic corporation. We believe that Section 1248 and the requirement to file Form 5471 will not apply to a less than 10% U.S. Shareholder because Arch Capital is not directly engaged in the insurance business. There can be no assurance, however, that the IRS will interpret the proposed Treasury Regulations in this manner or that the Treasury will not take the position that Section 1248 and the requirement to file Form 5471 will apply to dispositions of our common shares or our preferred shares.
If the IRS or U.S. Treasury were to make Section 1248 of the Code and the Form 5471 filing requirement applicable to the sale of our shares, we would notify shareholders that Section 1248 of the Code and the requirement to file Form 5471 will apply to dispositions of our shares. Thereafter, we would send a notice after the end of each calendar year to all persons who were shareholders during the year notifying them that Section 1248 of the Code and the requirement to file Form 5471 apply to dispositions of our shares by U.S. holders. We would attach to this notice a copy of Form 5471 completed with all our information and instructions for completing the shareholder information.
Tax-Exempt Shareholders. Tax-exempt entities may be required to treat certain Subpart F insurance income, including RPII, that is includible in income by the tax-exempt entity as unrelated business taxable income. Current and prospective U.S. holders that are tax exempt entities should consult their own tax advisors as to the potential impact of the unrelated business taxable income provisions of the Code.
Passive Foreign Investment Companies. Sections 1291 through 1298 of the Code contain special rules applicable with respect to foreign corporations that are PFICs. In general, a foreign corporation will be a PFIC if 75% or more of its income constitutes “passive income” or 50% or more of its assets produce passive income. If we were to be characterized as a PFIC, U.S. holders would be subject to a penalty tax at the time of their sale of (or receipt of an “excess distribution” with respect to) their common shares or preferred shares imposed at the highest applicable rate under the Code for the applicable tax year. In general, a shareholder receives an “excess distribution” if the amount of the distribution is more than 125% of the average distribution with respect to the shares during the three preceding taxable years (or shorter period during which the taxpayer held the stock). In general, the penalty tax is equivalent to an interest charge on taxes that are deemed due during the period the shareholder owned the shares, computed by assuming that the excess distribution or gain (in the case of a sale) with respect

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to the shares was taxable in equal portions throughout the holder’s period of ownership. The interest charge is equal to the applicable rate imposed on underpayments of U.S. federal income tax for such period. A U.S. shareholder may avoid some of the adverse tax consequences of owning shares in a PFIC by making a qualified electing fund (“QEF”) election. A QEF election is revocable only with the consent of the IRS and has the following consequences to a shareholder:
For any year in which Arch Capital is a PFIC, the shareholder would include in its taxable income a proportionate share of the net ordinary income and net capital gains of Arch Capital and certain of its non-U.S. subsidiaries.
For any year in which Arch Capital is not a PFIC, the shareholder would not be subject to the QEF inclusion regime described in the preceding paragraph for such taxable year.
For taxable years beginning on or before December 31, 2017, the determination of whether the active insurance company exception applies to an insurance company was made on a case-by-case basis and the analysis was inherently subjective. Under the Tax Cuts Act, for taxable years beginning after December 31, 2017, the active insurance company exception applies only if (i) the company would be taxed as an insurance company were it a U.S. corporation and (ii) either (A) loss and loss adjustment expense and certain reserves constitute more than 25% of the company’s gross assets for the relevant year or (B) loss and loss adjustment expenses and certain reserves constitute more than 10% of the company’s gross assets for the relevant year and, based on the applicable facts and circumstances, the company is predominantly engaged in an insurance business and the failure of the company to satisfy the preceding 25% test is due solely to run-off related or other specified circumstances involving the insurance business. The PFIC statutory provisions contain a look-through rule that states that, for purposes of determining whether a foreign corporation is a PFIC, such foreign corporation shall be treated as if it “received directly its proportionate share of the income” and as if it “held its proportionate share of the assets” of any other corporation in which it owns at least 25% of the stock. We believe that we were not a PFIC for any taxable year ended on or before December 31, 2023, and we currently are not expecting to become a PFIC for any subsequent taxable year. However, due to the complexity and uncertainty of the PFIC rules and the limited guidance interpreting them, there can be no assurance that we have not been a PFIC to date or that we will not become a PFIC at some time in the future. In addition, our U.S. counsel expresses no opinion with respect to our PFIC status for our current or future taxable years.
On December 4, 2020, the IRS issued certain final Treasury Regulations (the “2020 final PFIC insurance regulations”)
and revised proposed Treasury Regulations (the “2020 proposed PFIC insurance regulations”) regarding the application of the insurance company exception. While we believe that the 2020 final PFIC insurance regulations and the 2020 proposed PFIC insurance regulations should not adversely impact our ability to satisfy the insurance company exception and avoid being treated as a PFIC, there can be no assurance that such exception will in fact apply and/or will continue to apply at all times in the future. Each U.S. holder should consult its own tax advisor as to the effects of these rules.
Backup Withholding and Information Reporting. Payments of dividends and sales proceeds from a sale, exchange or other taxable disposition (including redemption) of our common shares or preferred shares that are made within the United States, by a U.S. payor or through certain U.S.-related financial intermediaries to a U.S. holder generally are subject to information reporting, unless the U.S. holder is a corporation or other exempt recipient, and if required, demonstrates that fact. In addition, such payments may be subject to backup withholding, unless (1) the U.S. holder is a corporation or other exempt recipient or (2) the U.S. holder provides a correct taxpayer identification number and certifies that it is not subject to backup withholding in the manner required. Backup withholding is not an additional tax. The amount of any backup withholding from a payment to a U.S. holder will generally be allowed as a credit against the U.S. holder’s U.S. federal income tax liability or may entitle the U.S. holder to a refund, provided that the required information is timely furnished to the IRS.
Foreign Financial Asset Reporting. Certain U.S. persons are required to report information relating to interests in “specified foreign financial assets”, including shares issued by a non-U.S. corporation, for any year in which the aggregate value of all specified foreign financial assets exceeds certain thresholds, subject to certain exceptions (including an exception for shares held in a custodial account maintained with a U.S. financial institution). Penalties may be imposed for a failure to disclose such information. U.S. holders are urged to consult their tax advisers regarding the effect, if any, of these additional reporting requirements on their ownership and disposition of our common shares or preferred shares.
United States Taxation of Non-U.S. Shareholders
Taxation of Dividends. Cash distributions, if any, made with respect to common shares or preferred shares held by a holder that is, for U.S. federal income tax purposes, an individual, corporation, estate or trust that is not a U.S. holder (a “Non-U.S. holder”) generally will not be subject to U.S. withholding tax (subject to certain exceptions that may apply if we were determined to be engaged in a trade or business in the United States and 25% or more of our gross

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income were to be effectively connected to such U.S. trade or business).
Sale, Exchange or Other Disposition. Non-U.S. holders of common shares or preferred shares generally will not be subject to U.S. federal income tax with respect to gain recognized upon the sale, exchange or other disposition of such shares unless such gain is effectively connected with a U.S. trade or business of the Non-U.S. holder or such person is present in the U.S. for 183 days or more in the taxable year the gain is recognized and certain other requirements are satisfied.
Information Reporting and Backup Withholding. Non-U.S. holders of common shares or preferred shares will not be subject to U.S. information reporting or backup withholding with respect to dispositions of common or preferred shares effected through a non-U.S. office of a broker, unless the broker has certain connections to the U.S. or is a U.S. person. No U.S. backup withholding will apply to payments of dividends, if any, on our common shares or our preferred shares.
FATCA Withholding. Sections 1471 through 1474 to the Code, known as the Foreign Account Tax Compliance Act (“FATCA”), impose a withholding tax of 30% on U.S.-source interest, dividends and certain other types of income, which is received by a foreign financial institution (“FFI”), unless such FFI enters into an agreement with the IRS to obtain certain information as to the identity of the direct and indirect owners of accounts in such institution. In addition, a 30% withholding tax may be imposed on the above payments to certain non-financial foreign entities which do not (i) certify to each applicable withholding agent that they have no “substantial U.S. owners” (i.e., a U.S. 10% direct or indirect shareholder), or (ii) provide such withholding agent with the certain information as to the identity of such substantial U.S. owners. The U.S. has entered into intergovernmental agreements to implement FATCA (“IGAs”) with a number of jurisdictions. Bermuda has signed an IGA with the U.S. Different rules than those described above may apply under such an IGA.
Although dividends with respect to our common shares or preferred shares generally will be treated as foreign source for U.S. federal withholding tax purposes, it is unclear whether, for FATCA purposes, some or all of our dividends may be recharacterized as U.S. source dividends. Treasury Regulations addressing this topic have not yet been issued.
Current and prospective investors should consult their own tax advisors as to the filing and information requirements that may be imposed on them in respect of their ownership of our common share or preferred shares.
Other Tax Laws. Shareholders should consult their own tax advisors with respect to the applicability to them of the tax laws of other jurisdictions.

ITEM 1A. RISK FACTORS
Set forth below are risk factors relating to our business. These risks and uncertainties are not the only ones we face. There may be additional risks that we currently consider not to be material or of which we are not currently aware, and any of these risks could cause our actual results to differ materially from historical or anticipated results. You should carefully consider these risks along with the other information provided in this report, including our “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and our accompanying consolidated financial statements, as well as the information under the heading “Cautionary Note Regarding Forward-Looking Statements” before investing in any of our securities. We may amend, supplement or add to the risk factors described below from time to time in future reports filed with the SEC.
RISK FACTORS SUMMARY
The following is a summary description of the material risks and uncertainties to which we may be exposed. Each of these risks could adversely affect our business, financial condition and results of operations, and any such effects may be material. These and other risks are more fully described after this summary description.
Risks Relating to Our Industry, Business and Operations
We operate in a highly competitive environment.
The insurance and reinsurance industry is highly cyclical, and we may at times experience periods characterized by excess underwriting capacity and unfavorable premium rates.
The effects of inflation and global recessionary conditions impact the insurance and reinsurance industry in ways which may negatively impact our business, financial condition and results of operations.
Claims for natural and man-made catastrophic events could cause large losses and substantial volatility in our results of operations and could have a material adverse effect on our financial position and results of operations.
The impact of climate change will affect our loss limitation methods, such as the purchase of third party reinsurance and catastrophe risk modeling and risk selection in ways which may adversely impact our business, financial condition and results of operations.

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Our insurance and reinsurance subsidiaries are subject to supervision and regulation. Changes to existing regulation and supervisory standards, or failure to comply with applicable requirements, could adversely affect our business and results of operations.
We are subject to ongoing legal and policy actions around climate change which may result in additional requirements that could prompt us to shift our risk selection and business strategy in ways which may adversely impact our results of operations.
The Russian invasion of Ukraine and the resulting imposition of sanctions by the U.S., U.K. and EU on Russia and Russia-related businesses created global instability.
Our customers and policyholders may also be impacted by regulatory, technological, market or other risks relating to climate change in ways which we cannot predict with certainty and adversely impact our results of operations.
As we continue to incorporate climate change and other ESG factors in our business strategy, we cannot be certain that shareholders, investors and other influential environmental and social-focused groups will agree with our approach, which may adversely impact our ability to raise funds in the capital markets, our share price and our results of operations.
We could face unanticipated losses from increased geopolitical tensions, hostilities, war, terrorism, cyber attacks and general political instability, and these or other unanticipated losses could have a material adverse effect on our financial condition and results of operations.
Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.
The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.
The availability of reinsurance, retrocessional coverage and capital market transactions to limit our exposure to risks may be limited, and counterparty credit and other risks associated with our reinsurance arrangements may result in losses which could adversely affect our financial condition and results of operations.
We could be materially adversely affected to the extent that important third parties with whom we do business do not adequately or appropriately manage their risks, commit fraud or otherwise breach obligations owed to us.
Emerging claim and coverage issues may adversely affect our business.
Acquisitions, the addition of new lines of insurance or reinsurance business, expansion into new geographic regions and/or entering into joint ventures or partnerships expose us to risks.
Our information technology systems may be unable to meet the demands of customers and our workforce.
Technology failures and cyber attacks, including, but not limited to, ransomware, exploitation in software or code with malicious intent, state-sponsored cyber attacks, as well as vulnerabilities relating to new technologies, such as generative AI, may impact us or our business partners and service providers, causing a disruption in service and operations which could materially and negatively impact our business and/or expose us to litigation.
Cyber incidents or data breaches caused by bad actors or unintentional human error impacting data, including personal data, we maintain or use during our business operations may result in regulatory fines or action, reputation damage and a disruption in our business operations.
Changes in criteria used by rating agencies which may result in a downgrade in our ratings, our inability to obtain a rating or a change in capital allocation or requirements for our operating insurance and reinsurance subsidiaries may adversely affect our relationships with clients and brokers and negatively impact sales of our products.
Our ability to execute our business strategy successfully, continue to grow and innovate and offer our employees a dynamic and supportive workplace depends on the recruitment, retention and promotion of talented, agile, diverse and resilient employees at all levels of our organization.
Our success will depend on our ability to maintain and enhance effective operating procedures and internal controls and our ERM program.
We are exposed to credit risk in certain of our business operations.
Our business is subject to applicable laws and regulations relating to economic trade sanctions and foreign bribery laws, the violation of which could adversely affect our operations.
New legislation or regulations relating to the U.K.’s withdrawal from the EU could adversely affect us.
Risks Relating to Financial Markets and Investments
Adverse developments in the financial markets could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital; our policyholders, reinsurers and retrocessionaires may also be affected by such developments, which could adversely affect their ability to meet their obligations to us.
Disruption to the financial markets and weak economic conditions resulting from situations such as post pandemic imbalances, inflation and geopolitical conflict may

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adversely and materially impact our investments, financial condition and results of operation.
Foreign currency exchange rate fluctuation may adversely affect our financial results.
The determination of the amount of current expected credit losses (“CECL”) allowances taken on our investments is highly subjective and could materially impact our results of operations or financial position.
Our reinsurance subsidiaries may be required to provide collateral to ceding companies, by applicable regulators, their contracts or other commercial considerations. Their ability to conduct business could be significantly and negatively affected if they are unable to do so.
Risks Relating to Our Mortgage Operations
The ultimate performance of our mortgage insurance portfolios remains uncertain.
If the volume of low down payment mortgage originations declines, or if other government housing policies, practices or regulations change, the amount of mortgage insurance we write in the U.S. could decline, which would reduce our mortgage insurance revenues.
Changes to the role of the GSEs in the U.S. housing market or to GSE eligibility requirements for mortgage insurers or to the GSEs’ use of CRT could negatively impact our results of operations and financial condition or reduce our operating flexibility.
The implementation of the Basel III Capital Accord and FHFA’s Enterprise Regulator Capital Framework may adversely affect the use of mortgage insurance and CRT opportunities.
Risk Relating to Our Company
Some of the provisions of our bye-laws and our shareholders agreement may have the effect of hindering, delaying or preventing third party takeovers or changes in management initiated by shareholders. These provisions may also prevent our shareholders from receiving premium prices for their shares in an unsolicited takeover.
There are regulatory limitations on the ownership and transfer of our common shares.
Arch Capital is a holding company and is dependent on dividends and other distributions from its operating subsidiaries.
General market conditions and unpredictable factors could adversely affect market prices for our outstanding preferred shares.
Dividends on our preferred shares are non-cumulative.
Our preferred shares are equity and are subordinate to our existing and future indebtedness.
The voting rights of holders of our preferred shares are limited.
Risks Relating to Taxation
We and our non-U.S. subsidiaries may become subject to U.S. federal income taxation and/or the U.S. federal income tax liabilities of our U.S. subsidiaries may increase, including as a result of changes in tax law.
The continuing implementation of the Tax Cuts Act may have a material and adverse impact on our operations and financial condition.
Proposed Treasury Regulations issued on January 24, 2022, if finalized in their current form, could (on prospective basis) cause our U.S. shareholders (including tax-exempt U.S. shareholders) to be subject to current U.S. federal income tax on the portion of our earnings attributable to certain intercompany reinsurance income (whether or not such income is distributed).
Legislation enacted in Bermuda as to Economic Substance may affect our operations.
We expect to become subject to increased taxation in Bermuda as a result of the recently adopted Bermuda CIT Act, and may become subject to increased taxation in other countries as a result of the implementation of the OECD's plan on “Base Erosion and Profit Shifting.”
Application of the EU Anti-Tax Avoidance Directives.
Risks Relating to Our Industry, Business and Operations
We operate in a highly competitive environment, and we may not be able to compete successfully in our industry.
The insurance and reinsurance industry is highly competitive. We compete on an international and regional basis with major U.S. and non-U.S. insurers and reinsurers, many of which have greater financial, marketing and management resources than we do. See “Competition” in Item 1 for details on our competitors in each of the major segments we operate in. There has been significant consolidation in the insurance and reinsurance sector in recent years and we may experience increased competition as a result of that consolidation, with consolidated entities having enhanced market power. These consolidated entities may use their enhanced market power and broader capital base to negotiate price reductions for products and services that compete with ours, and we may experience rate declines and possibly write less business. We also compete on the basis of product offerings and other factors, such as our approach to ESG and our use of technologies, and customers may be drawn to our competitors based on these factors. Any failure by us to effectively compete could adversely affect our financial condition and results of operations.


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The insurance and reinsurance industry is highly cyclical, and we may at times experience periods characterized by excess underwriting capacity and unfavorable premium rates.
Historically, insurers and reinsurers have experienced significant fluctuations in operating results due to competition, frequency of occurrence or severity of catastrophic events, levels of capacity, general economic conditions, inflation, changes in equity, debt and other investment markets, changes in legislation, case law and prevailing concepts of liability and other factors. Demand for reinsurance is influenced significantly by the underwriting results of primary insurers and prevailing general economic conditions. The supply of insurance and reinsurance is related to prevailing prices and levels of surplus capacity that, in turn, may fluctuate in response to changes in rates of return being realized in the insurance and reinsurance industry on both underwriting and investment sides. As a result, the insurance and reinsurance business historically has been a cyclical industry characterized by periods of intense price competition due to excessive underwriting capacity as well as periods when shortages of capacity permitted favorable premium levels and changes in terms and conditions. Until recently, the supply of insurance and reinsurance had increased over the past several years, and may again in the future, either as a result of capital provided by new entrants or by the commitment of additional capital by existing insurers or reinsurers. Continued increases in the supply of insurance and reinsurance may have consequences for us, including fewer contracts written, lower premium rates, increased expenses for customer acquisition and retention, and less favorable policy terms and conditions.
The effects of inflation and global recessionary conditions impact the insurance and reinsurance industry in ways which may negatively impact our business, financial condition and results of operations.
While general economic inflation has eased in recent quarters, higher inflationary conditions may continue to remain in place. The potential also exists, after a catastrophe loss or pandemic events like COVID-19, or geopolitical tensions and hostilities for the development of inflationary pressures in a local or regional economy. This may have a material effect on the adequacy of our reserves for losses and loss adjustment expenses, especially in longer-tailed lines of business. In addition, governmental actions in response to inflationary pressures, such as increasing interest rates, may have a material impact on the market value of our investment portfolio. While we consider the anticipated effects of inflation in our pricing models, reserving processes and exposure management across all lines of business and types of loss including natural catastrophe events, the actual effects of inflation on our results cannot be accurately known until claims are settled. In addition, there are different types of
inflation relevant to certain lines of business, the impact of which is difficult to accurately assess at this time. For example, in our mortgage business, the failure of general wages to keep pace with economic inflation, or increases in unemployment due to prolonged recessionary conditions, could prevent borrowers from being able to afford their mortgage payments and thereby increase the frequency of claims beyond our modeled results. Global recessionary conditions, including inflation, the slow recovery of certain sectors from the pandemic, predicted slow growth rates across key markets and other factors, will impact the insurance and reinsurance industry. There is great uncertainty around how severe and how long a recession will last on a global and local basis. While our risk management and business strategy take recessionary conditions into account, we cannot accurately predict the full impact of a recession on our results of business operations.
Claims for natural and man-made catastrophic events could cause large losses and substantial volatility in our results of operations and could have a material adverse effect on our financial position and results of operations.
We have large aggregate exposures to natural and man-made catastrophic events. Natural catastrophes can be caused by various events, including hurricanes, floods, wildfires, tsunamis, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. The frequency and severity of natural catastrophe activity has also been greater in recent years due to climate change caused in part by human actions and other related factors. Catastrophic events caused by humans may include acts of war, acts of terrorism and political instability. Catastrophes can cause losses in non-property business such as workers’ compensation or general liability. In addition to the nature of the property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration tend to generally increase the size of losses from catastrophic events over time. Actual losses from future catastrophic events have varied materially from estimates due to the inherent uncertainties in making such determinations resulting from several factors, including the potential inaccuracies and inadequacies in the data provided by clients, brokers and ceding companies, the modeling techniques and the application of such techniques, the contingent nature of business interruption exposures, the effects of any resultant demand surge on claims activity and attendant coverage issues. In estimating our losses from catastrophic events our considerations can include factors such as overall market losses, additional claims information from our clients, multiple model views and proprietary scenario testing. All of the catastrophe modeling tools that we use or rely on to evaluate our catastrophe exposures are therefore based on significant assumptions and judgments and are subject to

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error and misestimation. As a result, our estimated exposures could be materially different than our actual results.
The impact of climate change will affect our loss limitation methods, such as the purchase of third party reinsurance and catastrophe risk modeling and risk selection in ways which may adversely impact our business, financial condition and results of operations.
Changing weather patterns and climatic conditions, such as global warming, have added to the unpredictability, severity and frequency of natural disasters. Uncertainty about complexities of climate change affects our ability to assess with certainty the full impact of climate change and creates uncertainty about future trends and exposures. Although the loss experience of catastrophe insurers and reinsurers has historically been characterized as low frequency, climate change has impacted the frequency and severity of extreme weather events and natural catastrophes such as hurricanes, tornado activity, other windstorms, floods, wildfires and droughts in recent years and may continue to increase in the future.
Claims for catastrophic events, or an unusual frequency of smaller losses in a particular period, could expose us to large losses, cause substantial volatility in our results of operations and could have a material adverse effect on our ability to write new business if we are not able to adequately assess and reserve for the increased frequency and severity of catastrophes resulting from these environmental factors. Climate change and increasing catastrophic events could increase property damage to residential real estate secured by mortgages owned by the GSEs, and by extension could increase losses to CRT investors. Increasing catastrophic events could increase the cost of homeowners insurance and could negatively impact mortgagees’ ability to meet their monthly housing payment obligations, and by extension could increase the frequency of claims. Additionally, climate change may make modeled outcomes less certain or produce new, non-modeled risks. Catastrophic events could result in increased credit exposure to reinsurers and other counterparties we transact business with, declines in the value of investments we hold and significant disruptions to our physical infrastructure, systems and operations. Climate change-related risks may also specifically adversely impact the value of the securities that we hold.
Changes in security asset prices may impact the value of our fixed income, real estate and commercial mortgage investments, resulting in realized or unrealized losses on our invested assets. These risks are not limited to, but can include: (i) changes in supply/demand characteristics for fossil fuels (e.g., coal, oil, natural gas); (ii) advances in low-carbon technology and renewable energy development; and (iii) effects of extreme weather events on the physical and operational exposure of industries and issuers, and the
transition that these companies make towards addressing climate risk in their own businesses.
We attempt to manage our exposure to these risks relating to climate change through the use of underwriting controls, proprietary and third party risk models, and the purchase of third party reinsurance. Underwriting controls can include more restrictive underwriting criteria such as higher premiums and deductibles, reduction in limits offered or losses retained, and more specifically excluded policy risks. Our exposure in connection with a catastrophic event is determined by market capacity, pricing conditions, regulatory capital requirements, our perceptions of underlying risk and surplus preservation. There can be no assurance that our reinsurance coverage and other measures taken will be sufficient to mitigate losses resulting from one or more catastrophic events. As a result, the occurrence of one or more catastrophic events and the continuation and worsening of recent trends could have an adverse effect on our results of operations and financial condition.
Our insurance and reinsurance subsidiaries are subject to supervision and regulation. Changes to existing regulation and supervisory standards, or failure to comply with applicable requirements, could adversely affect our business and results of operation.
Our insurance and reinsurance subsidiaries conduct business globally and are subject to varying degrees of regulation in the various jurisdictions in which they conduct business, including by state, federal and national insurance regulators. The purpose of insurance laws and regulations generally is to protect policyholders and ceding insurance companies, not our shareholders. See “Regulation” in Item 1.
We may not be able to comply fully with, or obtain appropriate exemptions from, these statutes and regulations, which could result in restrictions on our ability to do business or undertake activities that are regulated in one or more of the jurisdictions in which we conduct business and could subject us to fines and other sanctions. Regulatory authorities also may seek to exercise their supervisory or enforcement authority in new or more extensive ways, such as imposing increased capital requirements. These actions, if they occur, could affect the competitive market and the way we conduct our business and manage our capital and could result in lower revenues and higher costs. As a result, such actions could have a material effect on our results of operations and financial condition.

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We are subject to ongoing legal and policy actions around climate change which may result in additional requirements which could prompt us to shift our risk selection and business strategy in ways which may adversely impact our results of operations.
Governments, regulators, legislators and influential non-governmental organizations continue to focus on enacting laws, regulations and other requirements relating to climate change. We are subject to some of these changing laws, regulations and public policy debates, which are difficult to predict and quantify and may have an adverse impact on our business. Legislative and regulatory initiatives and court decisions following major catastrophes could force expansion of certain insurance coverages for catastrophe claims or otherwise adversely impact our business. Additionally, changes in regulations or policies relating to climate change or our own leadership decisions implemented as a result of assessing the impact of climate change on our business may result in an increase in the cost of doing business, or a decrease in premiums in certain lines of business.
Our efforts to address these exposures are based in part on the outcomes of our loss mitigation measures and risk modeling, our financial results of operations and our communications with our customers and shareholders. We also continue to monitor changes across our industry and geographies and the Board considers these exposures regularly. We may make strategic business decisions to address or respond to some of the legal and policy changes relating to climate change, but there is no assurance that these decisions will adequately address these exposures or that they will not result in a material adverse effect on our results of operations, financial condition or share price.
The Russian invasion of Ukraine and the resulting imposition of sanctions by the U.S., U.K. and EU on Russia and Russia-related businesses created global instability.
The Russian invasion of Ukraine and ongoing hostilities have created a high level of uncertainty as well as disruption in certain sectors of the global economy. It is impossible to predict whether Russia will expand hostilities to other countries in Europe or elsewhere. A further prolonged war may also create uncertainty in the global economy in the form of oil shortages, inflationary pressures, loss of confidence and general increase in risks worldwide. In response to this aggression, the governments of the U.S., U.K., EU and other countries implemented several sanctions programs relating to, among other things, the import and transportation of Russian oil and gas and other goods originating in Russia. Sanctions imposed also target entities, individuals and financial institutions which support Russia’s military and defense systems. Certain lines of business we write have been impacted by the sanctions, such as the marine and energy lines of business, although the extent of
the impact will depend on the outcome of the war in Ukraine and the nature of future sanctions packages.
Our customers and policyholders may also be impacted by regulatory, technological, market or other risks relating to climate change in ways which we cannot predict with certainty and adversely impact our results of operations.
Our policyholders and customers are located primarily in countries and regions, such as the U.S., U.K., EU and Australia where there are regulatory, policy, legal and technological changes resulting from actions relating to climate change. In some cases, those policyholders and customers may not be able to shift their business strategies or adjust adequately to these changes, and their businesses may be negatively impacted or, in some cases, cease to exist. Climate change on a global and regional level may impact businesses on a temporary or permanent basis, resulting in shifting needs for our products and services in ways we cannot predict. More stringent regulations and other requirements imposed on our policyholders may negatively impact their ability to conduct business. As a result of these factors, our results of operations may be impacted by the loss of those customers or a shift in their patterns or levels of insurance coverage in ways we cannot predict.
As we continue to incorporate climate change and other ESG factors in our business strategy, we cannot be certain that shareholders, investors and other influential environmental and social-focused groups will agree with our approach, which may adversely impact our ability to raise funds in the capital markets, our share price and our results of operations.
Shareholders and investors have placed increased importance on how we are addressing ESG issues. ESG encompass a wide range of issues, including climate change and other environmental risks. ESG also includes social factors, such as how we manage our suppliers, the way we interact with our employees and communities and our diversity and inclusion efforts. Our leadership and Board are actively engaged in understanding the ever-changing ESG landscape and assessing our business operations to ensure that our business strategy reflects our values. We believe that our success depends on our commitment to a diverse workforce, an informed and active dialogue about ESG issues with our customers and shareholders and the strength of our ERM framework. We cannot predict whether our business decisions, business strategy and disclosures relating to climate change and other ESG issues will meet the expectations or particular requirements of certain key institutional shareholders in particular. We may be adversely impacted if shareholders or investors do not agree with, or are not satisfied with, our business strategy and approach to climate change or social concerns and decide to sell or not purchase our equity or debt instruments or to publicize their

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dissatisfaction. In addition, we cannot predict how legal challenges to diversity and inclusion recruitment programs may impact our efforts in this area.
We could face unanticipated losses from increased geopolitical tensions, hostilities,war, terrorism, cyber attacks, and general political instability, and these or other unanticipated losses could have a material adverse effect on our financial condition and results of operations.
We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, regional hostilities, acts of terrorism, political instability, social unrest and pandemics similar to the COVID-19 pandemic. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or estimate the amount of loss any given occurrence will generate. In certain instances, we specifically insure and reinsure risks resulting from acts of terrorism. We may also insure against risk related to cybersecurity and cyber attacks. In addition, our exposure to cyber attacks includes exposure to ‘silent cyber’ risks, meaning risks and potential losses associated with policies where cyber risk is not specifically included nor excluded in the policies. Even in cases where we attempt to exclude losses from terrorism, cybersecurity and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will not limit enforceability of policy language or otherwise issue a ruling adverse to us. Accordingly, while we believe our reinsurance programs, together with the coverage provided under the Terrorism Risk Insurance Act of 2002, as amended (“TRIP”) are sufficient to reasonably limit our net losses relating to potential future terrorist attacks, we can offer no assurance that our available capital will be adequate to cover losses when they materialize. To the extent that an act of terrorism is certified by the Secretary of the Treasury and aggregate industry insured losses resulting from the act of terrorism exceeds the prescribed program trigger, our U.S. insurance operations may be covered under TRIP for up to 80% subject to (i) a mandatory deductible of 20% of our prior year’s direct earned premium for covered property and liability coverages, and (ii) an industry aggregate retention of $37.5 billion. The program trigger for calendar year 2023 and any program year thereafter through 2027 is $200 million. If an act (or acts) of terrorism result in covered losses exceeding the $100 billion annual limit, insurers with losses exceeding their deductibles will not be responsible for additional losses. It is not possible to completely eliminate our exposure to unforecasted or unpredictable events, and to the extent that losses from such risks occur, our financial condition and results of operations could be materially adversely affected.
Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.
Our success is dependent upon our ability to assess accurately the risks associated with the businesses that we insure and reinsure. We establish reserves for losses and loss adjustment expenses which represent estimates based on actuarial and statistical projections, at a given point in time, of our expectations of the ultimate future settlement and administration costs of losses incurred. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of loss reserves. Most or all of these factors are not directly quantifiable, particularly on a prospective basis, and the effects of these and unforeseen factors could negatively impact our ability to accurately assess the risks of the policies that we write. Changes in the assumptions used by these models or by management could lead to an increase in our estimate of ultimate losses in the future. In addition, there may be significant reporting lags between the occurrence of the insured event and the time it is reported to the insurer and additional lags between the time of reporting and final settlement of claims. In addition, the estimation of loss reserves is more difficult during times of adverse economic and market conditions due to unexpected changes in behavior of claimants and policyholders, including an increase in fraudulent reporting of exposures and/or losses, reduced maintenance of insured properties or increased frequency of small claims. Changes in the level of inflation also result in an increased level of uncertainty in our estimation of loss reserves. As a result, actual losses and loss adjustment expenses paid can deviate, perhaps substantially, from the reserve estimates reflected in our financial statements.
If our loss reserves are determined to be inadequate, we will be required to increase loss reserves at the time of such determination with a corresponding reduction in our net income in the period when the deficiency becomes known. It is possible that claims in respect of events that have occurred could exceed our claim reserves and have a material adverse effect on our results of operations, in a particular period, or our financial condition in general. As a compounding factor, although most insurance contracts have policy limits, the nature of property and casualty insurance and reinsurance is such that losses and the associated expenses can exceed policy limits for a variety of reasons and could significantly exceed the premiums received on the underlying policies, thereby further adversely affecting our financial condition.

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As of December 31, 2023, our consolidated reserves for unpaid losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable, were approximately $16.1 billion. Such reserves were established in accordance with applicable insurance laws and GAAP. Loss reserves are inherently subject to uncertainty. In establishing the reserves for losses and loss adjustment expenses, we have made various assumptions relating to the pricing of our reinsurance contracts and insurance policies and have also considered available historical industry experience and current industry conditions. Any estimates and assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2023.
The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.
We seek to limit our loss exposure by writing a number of our reinsurance contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each client and prudent underwriting of each program written. In the case of proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seek to limit our exposure through the purchase of reinsurance. For our U.S. mortgage insurance business, in addition to utilizing reinsurance, we have developed a proprietary risk model that simulates the maximum probable loss resulting from a severe economic event impacting the housing market. We also seek to limit our loss exposure by geographic diversification, including by pricing adjustments in our U.S. mortgage insurance business. Geographic pricing decisions and zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone’s limits. Various provisions of our policies, negotiated to limit our risk, such as limitations or exclusions from coverage or choice of forum, may not be enforceable in the manner we intend, as it is possible that a court or regulatory authority could nullify or void an exclusion or limitation, or legislation could be enacted modifying or barring the use of these exclusions and limitations. Disputes relating to coverage and choice of legal forum may also arise. Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may not provide sufficient guidance. One or more catastrophic events or severe economic events could result in claims that substantially exceed our expectations, or the protections set forth in our policies could be voided, which, in either case, could have a material
adverse effect on our financial condition or our results of operations, possibly to the extent of eliminating our shareholders’ equity. In addition, factors such as global climate change limit the value of historical experience and therefore further limit the effectiveness of our loss limitation methods. See “Catastrophic Events and Severe Economic Events” in Item 7 for further details. Depending on business opportunities and the mix of business that may comprise our insurance, reinsurance and mortgage insurance portfolio, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business.
The availability of reinsurance, retrocessional coverage and capital market transactions to limit our exposure to risks may be limited, and counterparty credit and other risks associated with our reinsurance arrangements may result in losses which could adversely affect our financial condition and results of operations.
We manage risk using reinsurance, retrocessional coverage and capital markets transactions. Our insurance subsidiaries typically cede a portion of their premiums through pro rata, excess of loss and facultative reinsurance agreements. Our reinsurance subsidiaries purchase a limited amount of retrocessional coverage as part of their aggregate risk management program. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance subsidiaries, and the ceding company. Economic conditions, including but not limited to recessionary conditions, inflation, declining home prices or the impact of climate change could also have a material impact on our ability to manage our risk aggregations through reinsurance or capital markets transactions. The availability and cost of excess of loss reinsurance sold into the capital markets is subject to investor appetite and market conditions when compared to the terms and yield opportunities of other similar investment opportunities. As a result of these factors, we may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements.
Further, we are subject to credit risk with respect to our reinsurance and retrocessions because the ceding of risk to reinsurers and retrocessionaires does not relieve us of our liability to the clients or companies we insure or reinsure. We monitor the financial condition of our reinsurers and attempt to place coverages only with carriers we view as substantial and financially sound. An inability of our reinsurers or retrocessionaires to meet their obligations to us could have a material adverse effect on our financial condition and results of operations. Our losses for a given event or occurrence may increase if our reinsurers or retrocessionaires dispute or fail

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to meet their obligations to us or the reinsurance or retrocessional protections purchased by us are exhausted or are otherwise unavailable for any reason. In certain instances, we also require collateral to mitigate our credit risk to our reinsurers or retrocessionaires. We are at risk that losses could exceed the collateral we have obtained. Our failure to establish adequate reinsurance or retrocessional arrangements or the failure of our existing reinsurance or retrocessional arrangements to protect us from overly concentrated risk exposure could adversely affect our financial condition and results of operations.
We could be materially adversely affected to the extent that important third parties with whom we do business do not adequately or appropriately manage their risks, commit fraud or otherwise breach obligations owed to us.
For certain lines of our insurance business, we authorize managing general agents, general agents and other producers to write business on our behalf within underwriting authorities prescribed by us. In addition, our mortgage group delegates the underwriting of a significant percentage of its primary new insurance written to certain mortgage lenders. Under this delegated underwriting program, the approved customer may determine whether mortgage loans meet our mortgage insurance program guidelines and commit us to issue mortgage insurance. We rely on the underwriting controls of these agents to write business within the underwriting authorities provided by us. Although we have contractual protections in some instances and we monitor such business on an ongoing basis, our monitoring efforts may not be adequate or our agents may exceed their underwriting authorities or otherwise breach obligations owed to us. In addition, our agents, our insureds or other third parties may commit fraud or otherwise breach their obligations to us. Our financial condition and results of operations could be materially adversely affected by any one of these issues.
While we conduct underwriting, financial, claims and information technology due diligence reviews and apply rigorous standards in the selection of these counterparties, there is no assurance they have provided us accurate or complete information to assess their risk or that they can manage effectively their own risks. The counterparties are also subject to the same global increase in cyber incidents, including ransomware, and we cannot offer assurances that these counterparties have sufficient technical and organizational controls to mitigate these risks. Consequently, we assume a degree of credit and operational risk of those parties, and a material failure to manage their risks may result in material losses or damage to us.
Emerging claim and coverage issues may adversely affect our business.
As industry practices and legal, social and other environmental conditions change, unexpected and unintended issues related to claims and coverage may emerge, including new or expanded theories of liability. These or other changes could impose new financial obligations on us by extending coverage beyond our underwriting intent or otherwise require us to make unplanned modifications to the products and services that we provide, or cause the delay or cancellation of products and services that we provide. In some instances, these changes may not become apparent until sometime after we have issued insurance or reinsurance contracts that are affected by the changes. As a result, the full extent of liability under our insurance or reinsurance contracts may not be known for many years after a contract is issued. The effects of unforeseen developments or substantial government intervention could adversely impact us.
While we had exposure to a number of lines of business, such as trade credit, travel, workers compensation and property where business interruption coverage under a pandemic such as COVID-19 was at issue, the number of claims in this area has decreased greatly in 2022. and into 2023. We continue to monitor the impact of COVID-19 on our claims process in the U.S and U.K. in particular, although we do not expect the impact to be significant.
Acquisitions, the addition of new lines of insurance or reinsurance business, expansion into new geographic regions and/or entering into joint ventures or partnerships expose us to risks.
We may seek, from time to time, to acquire other companies, acquire selected blocks of business, expand our business lines, expand into new geographic regions and/or enter into joint ventures or partnerships. Such activities expose us to challenges and risks, including: integrating financial and operational reporting systems; establishing satisfactory budgetary and other financial controls; funding increased capital needs, overhead expenses or cash flow shortages that may occur if anticipated sales and revenues are not realized or are delayed, whether by general economic or market conditions or unforeseen internal difficulties; obtaining management personnel required for expanded operations; obtaining necessary regulatory permissions; and establishing adequate reserves for any acquired book of business. In addition, the value of assets acquired may be lower than expected or may diminish due to credit defaults or changes in interest rates; the liabilities assumed may be greater than expected; and assets and liabilities acquired may be subject to foreign currency exchange rate fluctuation. We may also be subject to financial exposures in the event that the sellers of the entities or business we acquire are unable or unwilling to meet their indemnification, reinsurance and other contractual

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obligations to us. Our failure to manage successfully any of the foregoing challenges and risks may adversely impact our results of operations.
Our information technology systems and our pace of adoption of new technologies, such as AI, may not be adequate to meet the demands of our customers or impact negatively our ability to compete with our peers.
We are dependent on our information technology systems to conduct our business. Specifically, our information technology systems service our insurance portfolios. Accordingly, we are highly dependent on the effective operation of these systems. While we believe that the systems are adequate to service our insurance portfolios, there can be no assurance that they will operate in all manners in which we intend or possess all of the functionality required by customers currently or in the future.
Our customers, require that we conduct our business in a secure manner, electronically via the Internet or via electronic data transmission. We must continually invest significant resources in establishing and maintaining electronic connectivity with customers. In order to integrate electronically with customers in the mortgage insurance industry, we require electronic connections between our systems and those of the industry's largest mortgage servicing systems and leading pricing and loan origination systems. Our mortgage group currently possesses connectivity with certain of these external systems, but there is no assurance that such connectivity is sufficient, and we are continually undertaking new electronic integration efforts with third party loan servicing, pricing and origination systems. We also rely on electronic integrations in our insurance operations with third parties and customers. Inflation and supply chain issues for components to support our informational technology systems or those of our vendors pose risks which are beyond our control and may be difficult to manage. Our business, financial condition and operating results may be adversely affected if we do not possess or timely acquire the requisite set of electronic integrations necessary to keep pace with the technological demands of customers. We continuously evaluate the security and adequacy of our information technology systems in order to ensure that we are utilizing the most appropriate technologies. With new technologies, such as AI, emerging at a rapid pace, there is no assurance that we will be able to evaluate and integrate new technologies or update our existing systems.
Technology failures and cyber attacks, including, but not limited to, ransomware, exploitation in software or code with malicious intent, state-sponsored cyber attacks, as well as vulnerabilities relating to new technologies, such as generative AI, may impact us or our business partners and service providers, causing a disruption in service and operations which could materially and negatively impact our business and/or expose us to litigation.
We rely on information technology systems to securely process, transmit, store and protect the confidential and electronic information, financial data and proprietary models that are critical to our business. Furthermore, a significant portion of the communications between our employees and our business partners and service providers depends on information technology and electronic information exchange. Like all companies, our information technology systems and the systems of third parties we do business with are vulnerable to data breaches, interruptions or failures due to events that may be beyond our control, including, but not limited to, natural disasters, power outages, theft, terrorist attacks, computer viruses, hackers, employee or vendor error or misconduct, malicious actors, errors in usage or deepfake or social engineering or schemes, phishing attacks, other external hazards and general technology failures. Security breaches by third parties could expose us to the loss or misuse of our information, financial losses, reputational damage and potential liability and litigation. In addition, cyber incidents and other disruptions that impact the availability, reliability, speed, accuracy or other proper functioning of these systems could have a significant negative impact on our operations and results. While we and third parties with which we do business have experienced cybersecurity incidents, to date, the Company does not believe that any previous cybersecurity incidents have materially affected the Company.
The sophistication of cybersecurity threats, including through the use of AI, continues to increase, and the controls and preventative actions that we take to reduce the risk of cybersecurity incidents and protect these systems, including the regular testing of our cybersecurity incident response plan, may be insufficient. Although our use of generative AI in business tools is limited and we continue to evaluate how to integrate this new technology into our business operations, recent developments in AI, including generative AI, may accelerate or exacerbate potential risks related to technological developments, and we cannot predict how such risks may impact our strategy, productivity, market competition and growth.
We rely on certain third party technology service providers and other service providers, notably major cloud providers, Software-as-a-Service (or SaaS) solutions, and on-premise software, including proprietary and open source solutions.

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We also outsource certain business process functions to third parties and may continue do so in the future. This practice exposes us to increased risks related to data security, service disruptions, supply chain issues or the effectiveness of our control system, which could result in our inability to conduct business operations, monetary and reputational damage or harm to our competitive position. There is no assurance that we will not be materially adversely affected by, or that the security measures we take will shield us from, data breaches or cyber attacks on us or on the third parties we rely on for critical business functions. See Item 1C, “Cybersecurity” for additional information.
Cyber incidents or data breaches caused by bad actors or unintentional human error impacting data, including personal data, we maintain or use during our business operations may result in regulatory fines or action, reputation damage and a disruption in our business operations.
We collect, process and store data, including the personal data of our employees, customers and policyholders, as part of our business operations. While we believe we have effective technical and organizational measures in place to prevent, detect, manage and mitigate the impact of data breaches caused by malicious actors, systemic failures or human error, we cannot offer complete assurances that significant data breaches will not occur. We are subject to many laws and regulations relating to the adequacy of cybersecurity programs and business resiliency, including industry specific requirements under federal and state law, the new SEC Cybersecurity Rules, and comprehensive privacy or security laws in the EU, U.K. and some U.S. states like New York and California. A cybersecurity incident could also result in a violation of applicable privacy, data protection or other laws, damage our reputation, cause a loss of customers, adversely affect our stock price, cause us to incur remediation costs, increased insurance premiums, and/or give rise to monetary fines, penalties, or litigation any of which could adversely affect our business.
Changes in criteria used by rating agencies which may result in a downgrade in our ratings, our inability to obtain a rating or a change in capital application or requirements for our operating insurance and reinsurance subsidiaries may adversely affect our relationships with clients and brokers and negatively impact sales of our products.
Similar to our competitors, a ratings downgrade or the potential for such a downgrade, or failure to obtain a necessary rating, could adversely affect our relationships with agents, brokers, wholesalers, intermediaries, clients and other distributors of our existing and new products and services. Some of the reinsurance agreements assumed by our reinsurance operations include provisions that a ratings downgrade or other specified triggering event with respect to
our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, provide our ceding company clients certain rights, including, the right to terminate the subject reinsurance agreement and/or to require us to post additional collateral. Any ratings downgrade or failure to obtain a necessary rating could adversely affect our ability to compete in our markets, could cause our premiums and earnings to decrease and could have a material adverse impact on our financial condition and results of operations. In some cases, a downgrade in ratings of certain of our operating subsidiaries may constitute an event of default under our credit facilities.
We can offer no assurances that our ratings will remain at their current levels or that any of our ratings which are under review or watch by ratings agencies will remain unchanged. Changes in in the criteria used by rating agencies may impact our capital position, our capital requirements and the treatment of certain items on our balance sheet. It is possible that rating agencies may modify their evaluation criteria, heighten the level of scrutiny they apply when analyzing companies in our industry, adjust upward the capital and other requirements employed in their models and/or discontinue credit and debt instruments or other structures deployed for maintenance of certain rating levels. We may need to raise additional funds through equity or debt financings or other investments. Any equity or debt financing, if available at all, may be on terms that are unfavorable to us. Equity financings could be dilutive to our existing shareholders and could result in the issuance of securities that have rights, preferences and privileges that are senior to those of our outstanding securities. If we are not able to obtain adequate capital through such financings or through our investment strategy, our business, results of operations and financial condition could be adversely affected. See “Capital Resources” in Item 7 for further details.
For further information on our financial strength and/or issuer ratings, see “Ratings” in Item 1. For further information on our letter of credit facilities, see the Letter of Credit and Revolving Credit Facilities section of “Contractual Obligations and Commercial Commitments” in Item 7.
Our ability to execute our business strategy successfully, continue to grow and innovate and offer our employees a dynamic and supportive workplace depends on the recruitment, retention and promotion of talented, agile, diverse and resilient employees at all levels of our organization.
The success of our business depends on attracting and retaining a capable and talented workforce. Following the COVID-19 pandemic, we have adopted a hybrid work model in most of our offices with employees returning to the office

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for part of the work week. We provide a work environment and culture which reflects our goal to “Enable Possibility”. We offer flexible work arrangements, when possible, for our employees globally, as well as competitive compensation packages which include participation in our Employee Stock Purchase Plan and the possibility of equity awards at certain job levels. Over the past few years, we have also implemented and expanded our learning programs, career leveling and employee networks, all of which we believe will help us retain talent.
In 2023, we launched our talent acquisitions shared services team for our North American entities. This structure enables us to better deploy internal and external candidates across the organization while providing a cohesive candidate experience. As the model matures and scales, we expect to see improvements in time to hire metrics. Our leadership and Board promote the goals of building a diverse employee population and fostering an environment that allows us to fully leverage and engage that diversity as a competitive edge which benefits both our employees and our business. While our efforts to attract, develop and retain talented employees continues to be a top priority, we may not be able to complete successfully for talented executives and employees, which may adversely impact our ability to fully realize our business strategy.
Our success will depend on our ability to maintain and enhance effective operating procedures and internal controls and our ERM program.
We operate within an ERM framework designed to identify, assess and monitor our risks. We consider underwriting, reserving, investment, credit and operational risk in our ERM framework. Losses, reputational damage, regulatory fines and litigation are among the adverse impacts which can arise if we fail to operate an effective ERM framework. Operational risk and losses can result from, among other things, fraud, errors, failure to document transactions properly or to obtain proper internal authorization, failure to comply with regulatory requirements, information technology or information security failures and failure to train employees appropriately or adequately. We continuously enhance our operating procedures and internal controls to effectively support our business and our regulatory and reporting requirements. As a result of the inherent limitations in all control systems, no evaluation of controls can provide absolute assurance that all control issues and instances of fraud, if any, within the company have been detected. These inherent limitations include the realities that judgments in decision making can be faulty, and that breakdowns can occur because of simple error or mistake or circumvention of controls. There can be no assurance that our control system will succeed in achieving its stated goals under all potential future conditions. Any ineffectiveness in our controls or procedures could have a material adverse effect on our
business. For further information on our ERM framework, see “Enterprise Risk Management” in Item 1.
We are exposed to credit risk in certain of our business operations.
In addition to exposure to credit risk related to our investment portfolio, reinsurance recoverables and reliance on brokers and other agents, we are exposed to credit risk in other areas of our business related to policyholders. We are exposed to credit risk in our insurance group’s surety unit where we guarantee to a third party that our policyholder will satisfy certain performance or financial obligations. If our policyholder defaults, we may suffer losses and be unable to be reimbursed by our policyholder. We are also exposed to credit risk from policyholders on smaller deductibles in other insurance group lines, such as healthcare and excess and surplus casualty. Although we have not experienced any material credit losses to date, an increased inability of our policyholders to meet their obligations to us could have a material adverse effect on our financial condition and results of operations. See note 3, “Significant Accounting Policy.”
Our business is subject to applicable laws and regulations relating to economic trade sanctions and foreign bribery laws, the violation of which could adversely affect our operations.
We must comply with all applicable economic sanctions and anti-bribery laws and regulations of the U.S. and other foreign jurisdictions where we operate. U.S. laws and regulations applicable to us and others who provide insurance and reinsurance include the economic trade sanctions laws and regulations administered by the Treasury’s Office of Foreign Assets Control as well as certain laws administered by the U.S. Department of State. New sanctions regimes may be initiated, or existing sanctions expanded, at any time, which can immediately impact our business activities. Since the Russian invasion of Ukraine in February 2022, there have been several sanctions packages imposed by the U.S., U.K. and EU which impact our business. The sanctions are complex, numerous and nuanced, requiring close review and assessment as they pertain to our business. We are also subject to the U.S. Foreign Corrupt Practices Act and other anti-bribery laws such as the U.K. Bribery Act that generally bar corrupt payments or unreasonable gifts to foreign governments or officials. Although we have policies and controls in place designed to ensure compliance with these laws and regulations, it is possible that an employee or intermediary could fail to comply with applicable laws and regulations. In addition, we may interpret a complex sanction in a way which may differ from a regulator. In these cases, we could be exposed to fines, criminal penalties and other sanctions. Such violations could limit our ability to conduct business and/or damage our reputation, resulting in a material adverse effect on our financial condition and results of operations.

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New legislation or regulations relating to the U.K.’s Withdrawal from the EU could adversely affect us.
The U.K. ceased to be a member state of the European Union in January 2020. Although the EU and U.K. reached a limited agreement in relation to certain matters, U.K. insurers and reinsurers no longer have automatic access to EU markets and vice versa. Our U.K. domiciled entities and our Lloyd’s Syndicates may no longer “passport” within the EU. We have implemented changes in our operations to accommodate Brexit; however, we remain subject to new proposals such as third country governance guidance provided by EIOPA in 2023, and regulations which may negatively impact U.K. underwriting activities in respect of EU risks and policyholders.
Risks Relating to Financial Markets and Investments
Adverse developments in the financial markets could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital; our policyholders, reinsurers and retrocessionaires may also be affected by such developments, which could adversely affect their ability to meet their obligations to us.
Adverse developments in the financial markets, resulting from inflation, global recessionary pressures, geopolitical conflict, liquidity conditions among other factors, can increase uncertainty and heighten volatility in the credit and equity markets. These developments may result in realized and unrealized losses on our investment portfolio that could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. In addition, our policyholders, reinsurers and retrocessionaires may be affected by developments in the financial markets, which could adversely affect their ability to meet their obligations to us. Volatility in the financial markets could continue to significantly affect our investment returns, reported results and shareholders’ equity.
The capital requirements of our businesses depend on many factors, including regulatory and rating agency requirements, the performance of our investment portfolio, our ability to write new business successfully, the frequency and severity of catastrophe events and our ability to establish premium rates and reserves at levels sufficient to cover losses.
Disruption to the financial markets and weak economic conditions resulting from situations such as post pandemic imbalances, inflation and geopolitical conflict may adversely and materially impact our investments, financial condition and results of operation.
Disruption in the financial markets and the downturn in global economic activity resulting from geopolitical conflict, elevated financing rates, housing market declines or other macro-and micro-economic conditions could adversely affect the valuation of securities in our investment portfolio. Credit deterioration spread widening and/or equity market volatility could result in temporary or permanent impairment. Elevated levels of inflation could drive higher U.S. and global interest rates, negatively impacting asset prices, particularly in fixed income and financial flexibility of operating businesses. In addition, a lack of pricing transparency, decreased market liquidity, the strengthening or weakening of foreign currencies against the U.S. Dollar, individually or in tandem, could have a material adverse effect on our results through realized losses, impairments and changes in unrealized positions in our investment portfolio. Furthermore, issuers of the investments we hold under the equity method of accounting report their financial information to us one month to three months following the end of the reporting period. Accordingly, the adverse impact of any disruptions in global financial markets on equity method income from these investments would likely not be reflected in our current quarter results and would instead be reported in the subsequent quarter.
Our operating results depend in part on the performance of our investment portfolio. A significant portion of cash and invested assets held by Arch consists of fixed maturities (70.1% as of December 31, 2023). Although our current investment guidelines and approach emphasize preservation of capital, market liquidity and diversification of risk, our investments are subject to market-wide risks and fluctuations. In addition, we are subject to risks inherent in particular securities or types of securities, as well as sector concentrations. We may not be able to realize our investment objectives, which could have a material adverse effect on our financial results. In the event that we are unsuccessful in calibrating the liquidity of our investment portfolio with our expected insurance and reinsurance liabilities, we may be forced to liquidate our investments at times and prices that are not optimal, which could have a material adverse effect on our financial results and ability to conduct our business.

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Foreign currency exchange rate fluctuation may adversely affect our financial results.
We write business on a worldwide basis, and our results of operations may be affected by fluctuations in the value of currencies other than the U.S. Dollar. The primary foreign currencies in which we operate are the Euro, the British Pound Sterling, the Australian Dollar and the Canadian Dollar. In order to minimize the possibility of losses we may suffer as a result of our exposure to foreign currency fluctuations in our net insurance liabilities, we invest in securities denominated in currencies other than the U.S. Dollar. In addition, we may replicate investment positions in foreign currencies using derivative financial instruments. Changes in the value of available-for-sale investments due to foreign currency rate movements are reflected as a direct increase or decrease to shareholders' equity and are not included in the statement of income.
The determination of the amount of current expected CECL allowances taken on our investments is highly subjective and could materially impact our results of operations or financial position.
On a quarterly basis, we review our investments by applying an approach based on the CECL and whether declines in fair value below the cost basis requires an estimate of the expected credit loss. There can be no assurance that our management has accurately assessed the level of the credit loss allowance taken, as reflected in our financial statements. Furthermore, additional allowance may need to be taken or allowances provided for in the future. Further, rapidly changing and unpredictable credit and equity market conditions could materially affect the valuation of securities carried at fair value as reported within our consolidated financial statements and the period-to-period changes in value could vary significantly.
Our reinsurance subsidiaries may be required to provide collateral to ceding companies, by applicable regulators, their contracts or other commercial considerations. Their ability to conduct business could be significantly and negatively affected if they are unable to do so.
Arch Re Bermuda is a registered Bermuda insurance company and is not licensed or admitted as an insurer in any jurisdiction in the U.S., although Arch Re Bermuda has been approved as a “certified reinsurer” in certain U.S. states that allow reduced collateral for reinsurance ceded to such reinsurers. Arch Re Bermuda's contracts generally require it to post a letter of credit or provide other security, even in U.S. states where it has been approved for reduced collateral. State credit for reinsurance rules also generally provide that certified reinsurers such as Arch Re Bermuda must provide 100% collateral in the event their certified status is “terminated” or upon the entry of an order of rehabilitation, liquidation or conservation against a ceding insurer.
Although, to date, Arch Re Bermuda has not experienced any difficulties in providing collateral when required, if we are unable to post security in the form of letters of credit or trust funds when required, the operations of Arch Re Bermuda could be significantly and negatively affected.
Risks Relating to Our Mortgage Operations
The ultimate performance of our mortgage insurance portfolios remains uncertain.
The mix of business in our insured loan portfolio may affect losses. The presence of multiple higher-risk characteristics in a loan materially increases the likelihood of a claim unless there are other characteristics to mitigate the risk. The mix of higher-risk loans, including affordable housing loans which often have higher-risk characteristics, could increase losses and harm our financial performance. The geographic mix of our insured loan portfolio could also increase losses and harm our financial performance.
Mortgage insurance premiums are set at the time coverage is procured, based in part on the expected duration of the coverage. We cannot cancel mortgage insurance coverage or adjust renewal premiums during the life of the policy. Thus, higher than anticipated claims generally cannot be offset by premium increases on policies in force or mitigated by our non-renewal or cancellation of insurance coverage. Further, in the U.S., to the extent that the insured cancels coverage as a result of prior home price appreciation, the duration of coverage will be shorter, and we will receive less premium. The premiums charged, and the associated investment income, may not be adequate to compensate us for the risks and costs associated with the insurance coverage provided to customers. A decrease in the amount of premium received or an increase in the number or size of claims, compared to what we anticipate, could adversely affect our results of operations and financial condition.
The frequency and severity of claims we incur is uncertain and will depend largely on general economic factors outside of our control, including, among others, changes in unemployment and home prices affordability. Inflated home prices followed by a decline in home values could significantly decrease a borrower’s equity in their home, which would limit their ability to sell the property without incurring a loss and could increase the frequency and severity of claims. Monthly interest rate changes in Australia or the increasing cost of homeowners insurance in the U.S. could make a borrower’s monthly housing-related payment obligations increase and could increase the frequency of claims. Deteriorating economic conditions, potentially due to prolonged recessionary conditions increasing levels of unemployment and inflation, could adversely affect the performance of our mortgage insurance portfolio and could

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adversely affect our results of operations and financial condition.
If the volume of low down payment mortgage originations declines, or if other government housing policies, practices or regulations change, the amount of mortgage insurance we write in the U.S. could decline, which would reduce our mortgage insurance revenues.
The size of the U.S. mortgage insurance market depends in large part upon the volume of low down payment home mortgage originations. Factors affecting the volume of low down payment mortgage originations include, among others: restrictions on mortgage credit due to stringent underwriting standards and liquidity issues affecting lenders; changes in mortgage interest rates and home prices, and other economic conditions in the U.S. and regional economies; population trends, including the rate of household formation; and U.S. government housing policy. Increases to mortgage interest rates have materially increased financing costs, and as a result may decrease the number of qualified borrowers and the volume of low down payment mortgage originations.
The private mortgage insurers’ principal government competitor is the Federal Housing Administration (“FHA”). On February 22, 2023, the FHA reduced its annual mortgage insurance premium rates by 30bps for most single family mortgages endorsed on or after March 20, 2023. This takes the annual premium from 0.85% down to 0.55% for most FHA borrowers. This change, and any future changes to the FHA program may, negatively impact the amount of mortgage insurance we write in the U.S.
The Federal Housing Finance Agency (“FHFA”) as conservator of the GSEs continues to evaluate loan level price adjustments (“LLPAs”) and guarantees fees assessed by the GSEs when purchasing loans. During 2022 and 2023, the FHFA implemented a series of changes to update the GSEs’ single-family guarantee fee pricing framework to increase support for creditworthy borrowers limited by income or by wealth, while also increasing pricing to other categories of loans (such as high balance mortgages and mortgages on second homes) to foster capital accumulation. On May 15, 2023, FHFA issued a Request for Input (“RFI”) on the process used for implementing guarantee fee pricing changes, and on the goals and priorities that FHFA, as both conservator and regulator, should pursue in its oversight of the pricing framework. These, and future actions taken as a result of the RFI could cause a decline in the volume of low-down payment home mortgage purchases by the GSEs, could decrease demand for mortgage insurance, and could decrease our U.S. new insurance written and reduce mortgage insurance revenues.
On June 8, 2022, the FHFA announced the GSEs release of Fannie Mae's and Freddie Mac's Equitable Housing Finance Plans for 2022-2024. These plans are designed to foster housing finance markets that provide equitable access to affordable and sustainable housing, including through the use of special purpose credit programs (“SPCPs”). SPCPs are lending programs designed to expand access to credit among disadvantaged borrowers. The Consumer Finance Protection Bureau, the Department of Housing and Urban Development, and other federal agencies have issued guidance encouraging the use of SPCPs and providing assurances that properly structured SPCPs are permissible under federal law. New practices or programs implemented under the GSEs’ Equitable Housing Plans, may impact the underwriting and servicing standards on mortgages purchased by the GSEs and could increase the presence of multiple higher-risk characteristics in our insured loan portfolio. Further, the legal landscape applicable to SPCPs remains untested and loans originated under these programs could be subject to increased risk of private litigation or enforcement actions under state and federal law.
Changes to the role of the GSEs in the U.S. housing market or to GSE eligibility requirements for mortgage insurers or to the GSEs’ use of CRT could negatively impact our results of operations and financial condition or reduce our operating flexibility.
Substantially all of Arch MI U.S.’s insurance written has been for loans sold to the GSEs. The charters of the GSEs require credit enhancement for low down payment mortgages to be eligible for purchase or guarantee by the GSEs. Any changes to the charters or statutory authorities of the GSEs would require congressional action to implement. If the charters of the GSEs were amended to change or eliminate the acceptability of private mortgage insurance, our mortgage insurance business could decline significantly.
In January 2021, the U.S. Department of Treasury (the “Treasury Department”) and FHFA announced an agreement to amend the preferred stock purchase agreements between the Treasury Department and the GSEs, originally entered into in September 2008, in order to, among other things, codify several existing FHFA conservatorship practices for the GSEs and outline a plan for the Treasury Department, in consultation with FHFA, to develop a proposal for continued GSE reform. If any GSE reform is adopted, whether through legislation or administrative action, it could impact the current role of private mortgage insurance as credit enhancement, including its reduction or elimination. Passage and timing of any comprehensive GSE reform or incremental change (legislative or administrative) is uncertain, making the actual impact on the mortgage insurance industry difficult to predict. Furthermore, the FHFA and/or the GSEs could chose to reduce the amount of CRT protection purchased on their loan portfolios, which could reduce the CRT investment

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opportunities available for reinsurers. Future legislative, administrative or changes to business practices related to the use or requirement for credit enhancement could have a material adverse impact on the Company.
The PMIERs apply to Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company, which are GSE-approved mortgage insurers (“eligible mortgage insurers”). The PMIERs impose limitations on the type of risk insured, the forms and insurance policies issued, standards for the geographic and customer diversification of risk, acceptable underwriting practices, quality assurance, loss mitigation, claims handling, standards for certain reinsurance cessions and financial requirements, among other things. The financial requirements require a mortgage insurer’s available assets to meet or exceed “minimum required assets” as of each quarter end. Arch MI U.S.’s minimum required assets under the PMIERs will be determined, in part, by the particular risk profiles of the loans it insures. If, absent other changes, Arch MI U.S.’s mix of business changes to include more loans with higher loan-to-value ratios or lower credit scores, it will have a higher minimum required asset amount under the PMIERs and, accordingly, be required to hold more capital in order to maintain GSE eligibility. Our eligible mortgage insurers each satisfied the PMIERs’ financial requirements as of December 31, 2023. While we intend to continue to comply with these requirements, there can be no assurance that the GSEs will not change the PMIERs or that Arch Mortgage Insurance Company or United Guaranty Residential Insurance Company will continue as eligible mortgage insurers. If either or both of the GSEs were to cease to consider Arch Mortgage Insurance Company or United Guaranty Residential Insurance Company as eligible mortgage insurers and, therefore, cease accepting our mortgage insurance products, our results of operations and financial condition would be adversely affected.
The implementation of the Basel III Capital Accord and FHFA’s Enterprise Regulator Capital Framework may adversely affect the use of mortgage insurance and CRT opportunities.
With certain exceptions, the Basel III Rules became effective on January 1, 2014. In December 2017, the Basel Committee published final revisions to the Basel Capital Accord which is informally denominated in the U.S. as “Basel III Endgame.” The Basel Committee expects the new rules to be fully implemented by January 2027.
On July 27, 2023, the Federal banking agencies released a proposed rule to implement the Basel III Endgame in the United States. The proposal would eliminate the capital relief currently afforded mortgage loans protected by private mortgage insurance. Instead, the capital treatment would be based on the mortgage’s loan to value ratio without consideration of mortgage insurance. The comment period for this proposal closed on January 16, 2024. If the U.S. regulators decide to adopt the proposed Basel III Endgame approach to mortgage assets, the capital treatment of mortgages held in portfolio will increase and the capital relief benefits of mortgage insurance would be eliminated, which could adversely affect the volume of mortgages originated by banks subject to the rule and the demand for mortgage insurance.
On December 17, 2020, the FHFA published a new Enterprise Regulatory Capital Framework (“ERCF”) Enterprise Capital Rule for Fannie Mae and Freddie Mac that significantly increases minimum capital requirements for these GSEs. The new rule requires each GSE to maintain both higher minimum capital ratios and capital “buffers” to avoid restrictions on capital distributions and discretionary bonus payments. Changes were made to the ERCF in 2022 to incentive CRT transactions, and in 2023 to address capital requirements for derivatives; market risk; multifamily loans; and exposures of an Enterprise to the other Enterprise.
The ERCF includes higher risk-capital charges for residential mortgages and continues to take into account the benefits of mortgage insurance, provided the mortgage insurer is compliant with the PMIERs. The amount of capital relief afforded for mortgage insurers depends on a number of factors, including the GSEs’ determination of the creditworthiness of the mortgage insurer, which could affect the competitive position of the individual mortgage insurance providers. The higher risk-capital charges for residential mortgages could be incorporated into the PMIERs standards, thereby requiring mortgage insurers to hold higher capital levels in order to be recognized as approved counterparties for the GSEs. This could have a negative impact on our return on equity.
In addition, higher capital standards could impact the guarantee fees charged to acquire loans. In January 2023, after the Enterprises had fully transitioned to the new ERCF capital regime, FHFA announced new pricing matrices redesigned and recalibrated to align the fee structure more closely with the risk factors utilized in the capital framework. Future changes to the ERCF, or the guarantee fees charged to acquire loans, could adversely impact credit for credit risk transfer, the capital relief afforded mortgage insurance or the volume of loans purchased by the Enterprises and the demand for mortgage insurance.

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Risk Relating to Our Company and Our Shares
Some of the provisions of our bye-laws and our shareholders agreement may have the effect of hindering, delaying or preventing third party takeovers or changes in management initiated by shareholders. These provisions may also prevent our shareholders from receiving premium prices for their shares in an unsolicited takeover.
Some provisions of our bye-laws could have the effect of discouraging unsolicited takeover bids from third parties or changes in management initiated by shareholders. These provisions may encourage companies interested in acquiring us to negotiate in advance with our Board, since the Board has the authority to overrule the operation of several of the limitations.
Among other things, our bye-laws provide: for a classified Board, in which the directors of the class elected at each annual general meeting holds office for a term of three years, with the term of each class expiring at successive annual general meetings of shareholders; that the number of directors is determined by the Board from time to time by a vote of the majority of the Board; that directors may only be removed for cause, and cause removal shall be deemed to exist only if the director whose removal is proposed has been convicted of a felony or been found by a court to be liable for gross negligence or misconduct in the performance of his or her duties; that the Board has the right to fill vacancies, including vacancies created by an expansion of the Board; and for limitations on a shareholder’s right to raise proposals or nominate directors at general meetings. Our bye-laws provide that certain provisions that may have anti-takeover effects may be repealed or altered only with prior Board approval and upon the affirmative vote of holders of shares representing at least 65% of the total voting power of our shares entitled generally to vote at an election of directors.
The bye-laws also contain a provision limiting the rights of any U.S. person (as defined in section 7701(a)(30) of the Internal Revenue Code of 1986, as amended (the “Code”)) that owns shares of Arch Capital, directly, indirectly or constructively (within the meaning of section 958 of the Code), representing more than 9.9% of the voting power of all shares entitled to vote generally at an election of directors. The votes conferred by such shares of such U.S. person will be reduced by whatever amount is necessary so that after any such reduction the votes conferred by the shares of such person will constitute 9.9% of the total voting power of all shares entitled to vote generally at an election of directors. Notwithstanding this provision, the Board may make such final adjustments to the aggregate number of votes conferred by the shares of any U.S. person that the Board considers fair and reasonable in all circumstances to ensure that such votes represent 9.9% of the aggregate voting power of the votes conferred by all shares of Arch Capital entitled to vote
generally at an election of directors. Arch Capital will assume that all shareholders (other than specified persons) are U.S. persons unless we receive assurance satisfactory to us that they are not U.S. persons.
The bye-laws also provide that the affirmative vote of at least 66 2/3% of the outstanding voting power of our shares (excluding shares owned by any person (and such person’s affiliates and associates) that is the owner of 15% or more (a “15% Holder”) of our outstanding voting shares) shall be required for various corporate actions, including: merger or consolidation of the company into a 15% Holder; sale of any or all of our assets to a 15% Holder; the issuance of voting securities to a 15% Holder; or amendment of these provisions; provided, however, the super majority vote will not apply to any transaction approved by the Board.
The provisions described above may have the effect of making more difficult or discouraging unsolicited takeover bids from third parties. To the extent that these effects occur, shareholders could be deprived of opportunities to realize takeover premiums for their shares and the market price of their shares could be depressed. In addition, these provisions could also result in the entrenchment of incumbent management.
There are regulatory limitations on the ownership and transfer of our common shares.
The jurisdictions where we operate have laws and regulations that require regulatory approval of a change in control of an insurer or an insurer's holding company. Where such laws apply to us, there can be no effective change in our control unless the person seeking to acquire control has filed a statement with the regulators and obtained prior approval for the proposed change. Certain regulators may at any time, by written notice, object to a person holding shares in an insurer or an insurer's holding company if it appears to the regulator that the person is not or is no longer fit and proper to be such a holder. The regulator may require the shareholder to reduce its holding in the insurer or an insurer's holding company and direct, among other things, that such shareholder’s voting rights attaching to the shares in an insurer or an insurer's holding company shall not be exercisable.

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Arch Capital is a holding company and is dependent on dividends and other distributions from its operating subsidiaries.
Arch Capital is a holding company whose assets primarily consist of the shares in our subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any payments of dividends, redemption amounts or liquidation amounts with respect to our preferred shares and common shares, and to fund the share repurchase program. The ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions is subject to legislative constraints and dependent on their ability to meet applicable regulatory standards. In addition, the ability of our insurance and reinsurance subsidiaries to pay dividends to Arch Capital and to intermediate parent companies owned by Arch Capital could be constrained by our dependence on financial strength ratings from independent rating agencies. Our ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries.
General market conditions and unpredictable factors could adversely affect market prices for our outstanding preferred shares.
There can be no assurance about the market prices for our series of preferred shares that are traded publicly. Several factors, many of which are beyond our control, will influence the fair value of our preferred shares, including, but not limited to:
whether dividends have been declared and are likely to be declared on any series of our preferred shares from time to time;
our creditworthiness, financial condition, performance and prospects;
whether the ratings on any series of our preferred shares provided by any ratings agency have changed;
the market for similar securities; and
economic, financial, geopolitical, social, regulatory or judicial events that affect us and/or the insurance or financial markets generally.
Dividends on our preferred shares are non-cumulative.
Dividends on our preferred shares are non-cumulative and payable only out of lawfully available funds of Arch Capital under Bermuda law. Consequently, if the Board (or a duly authorized committee of the Board) does not authorize and declare a dividend for any dividend period with respect to any series of our preferred shares, holders of such preferred shares would not be entitled to receive any such dividend, and such unpaid dividend will not accrue and will never be payable. Arch Capital will have no obligation to pay dividends for a dividend period on or after the dividend payment date for such period if the Board (or a duly authorized committee of the Board) has not declared such dividend before the related dividend payment date; if dividends on our series F or series G preferred shares are authorized and declared with respect to any subsequent dividend period, Arch Capital will be free to pay dividends on any other series of preferred shares and/or our common shares. In the past, we have not paid dividends on our common shares.
Our preferred shares are equity and are subordinate to our existing and future indebtedness.
Our preferred shares are equity interests and do not constitute indebtedness. As such, these preferred shares will rank junior to all of our indebtedness and other non-equity claims with respect to assets available to satisfy our claims, including in our liquidation. Our existing and future indebtedness may restrict payments of dividends on our preferred shares. Additionally, unlike indebtedness, where principal and interest would customarily be payable on specified due dates, in the case of preferred shares, (1) dividends are payable only if declared by the Board (or a duly authorized committee of the Board) and (2) as described under “Risks Relating to Our Company—Arch Capital is a holding company and is dependent on dividends and other distributions from its operating subsidiaries,” we are subject to certain regulatory and other constraints affecting our ability to pay dividends and make other payments.
We may issue additional securities that rank equally with or senior to our series F and series G preferred shares without limitation. The issuance of securities ranking equally with or senior to our preferred shares may reduce the amount available for dividends and the amount recoverable by holders of such series in the event of a liquidation, dissolution or winding-up of Arch Capital.

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The voting rights of holders of our preferred shares are limited.
Holders of our preferred shares have no voting rights with respect to matters that generally require the approval of voting shareholders. The limited voting rights of holders of our preferred shares include the right to vote as a class on certain fundamental matters that affect the preference or special rights of our preferred shares as set forth in the certificate of designations relating to each series of preferred shares. In addition, if dividends on our series F or series G preferred shares have not been declared or paid for the equivalent of six dividend payments, whether or not for consecutive dividend periods, holders of the outstanding series F or series G preferred shares will be entitled to vote for the election of two additional directors to the Board subject to the terms and to the limited extent as set forth in the certificate of designations relating to such series of preferred shares.
Risks Relating to Taxation
We expect to become subject to increased taxation in Bermuda as a result of the recently adopted Bermuda CIT Act, and may become subject to increased taxation in other countries as a result of the implementation of the OECD's plan on “Base Erosion and Profit Shifting.”
The OECD, with the support of the G20, initiated the “Base Erosion and Profit Shifting” (“BEPS”) project in 2013 in response to concerns that changes are needed to international tax laws to address situations where multinationals may pay little or no tax in certain jurisdictions by shifting profits away from jurisdictions where the activities creating those profits may take place. In November 2015, “final reports” were approved for adoption by the G20 finance ministers. The final reports provide the basis for international standards for corporate taxation that are designed to prevent, among other things, the artificial shifting of income to tax havens and low-tax jurisdictions, the erosion of the tax base through interest deductions on intercompany debt and the artificial avoidance of permanent establishments (i.e., tax nexus with a jurisdiction).
Legislation to adopt and implement these standards, including country by country reporting, has been enacted or is currently under consideration in a number of jurisdictions. As a result, our income may be taxed in jurisdictions where it is not currently taxed and at higher rates of tax than currently taxed, which may substantially increase our effective tax rate. Also, the continued adoption of these standards may increase the complexity and costs associated with tax compliance and adversely affect our financial position and results of operations.
In May 2019, the OECD published a “Programme of Work,” divided into two pillars, which is designed to address the tax challenges created by an increasing digitalized economy. Pillar I addresses the broader challenge of a digitalized economy and focuses on the allocation of group profits among taxing jurisdictions based on a market-based concept rather than historical “permanent establishment” concepts. In January 2020, the OECD released a statement excluding most financial services activities, including insurance activities, from the scope of the profit reallocation mechanism in Pillar I. The OECD statement cited the presence of commercial (rather than consumer) customers as grounds for the carve-out, but also acknowledged that a “compelling case” could be made that the consumer-facing business lines of insurance companies should be excluded from the scope of Pillar I given the impact of regulations and licensing requirements that typically ensure that residual profits are largely realized in local customer markets. However, profits from “unregulated elements of the financial services sector” remain in scope but only where revenue exceeds €20 billion.
Pillar II addresses the remaining BEPS risk of profit shifting to certain in-scope entities in low tax jurisdictions by introducing a global minimum tax (15%), which would operate through a denial of a deduction or imposition of source-based taxation (including withholding tax) on certain payments. In calculating whether the effective tax rate of an in-scope entity meets the minimum tax rate, certain deferred income tax assets and liabilities reflected or disclosed in the financial accounts of an in-scope entity are taken into account. In October 2021, 136 jurisdictions agreed on a two-pillar solution to address the tax challenges arising from the digitalization of the economy. In December 2021, the OECD released Model Rules for implementation of Pillar II followed by the release of detailed commentary in March 2022. The OECD has released additional administrative guidance on the global minimum tax in February, July and December of 2023. Under the European Union’s minimum tax directive, unanimously agreed by the member states in 2022, each member state is required to adopt domestic legislation implementing the minimum tax rules effective for periods beginning on or after December 31, 2023, with the “under-taxed profit rule” to take effect for periods beginning on or after December 31, 2024. Legislatures in multiple countries outside of the European Union have also drafted and/or enacted legislation to implement the OECD’s minimum tax proposal. Given the OECD's continued release of guidance regarding Pillar II, that only certain jurisdictions have currently enacted laws to give effect to Pillar II, and that jurisdictions may interpret such laws in different manners, the overall implementation of Pillar II remains uncertain and subject to change, possibly on a retroactive basis.

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On August 8, 2023, the Bermuda Ministry of Finance published its first Public Consultation announcing the proposed implementation of a new corporate income tax regime applicable to Bermuda businesses that are part of Multinational Enterprise Groups with annual revenue of €750 million or more. A Second Public Consultation was published on October 5, 2023 confirming, inter alia, a statutory corporate tax rate of 15% and a Third Public Consultation was published on November 15, 2023. The Bermuda CIT Act was enacted on December 27, 2023 and is to be effective for tax years beginning on or after January 1, 2025. The Bermuda Government announced in its Second Public Consultation that any new Bermuda corporate income tax regime would supersede existing Tax Assurance Certificates held by entities within the scope of the new Bermuda corporate income tax (such as those issued to us, referred to above under “—Taxation of Arch Capital. Bermuda.”). Given the potential for the new Bermuda corporate income tax to supersede existing Tax Assurance Certificates, it is likely that Arch will be subject to Bermuda tax for tax years beginning on or after January 1, 2025.
The adoption of the tax laws described above (in particular, the adoption of an “under-taxed profit rule” by certain countries in which we and our affiliates do business and the expected implementation of a corporate income tax regime in Bermuda) are expected to result in an increase to our effective tax rate and aggregate tax liability, which may adversely affect our financial position and results of operations, and is expected to increase the complexity and cost of our worldwide tax compliance. Although certain jurisdictions in which we and our affiliates do business have enacted an “under-taxed profit rule”, such rule is only expected to take effect for taxable periods beginning on or after December 31, 2024. Such tax laws may not be enacted or the form of such tax laws could change on a prospective or retroactive basis. The impact of any such changes is unknown, but such changes could have an adverse effect on our effective tax rate and aggregate tax liability and could increase the complexity and costs associated with our tax compliance worldwide.

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ITEM 1B. UNRESOLVED STAFF COMMENTS
None.
ITEM 1C. CYBERSECURITY
Risk management and strategy
We prioritize the management of cybersecurity risk and the protection of information across our enterprise by embedding data protection and cybersecurity risk management in our operations. Our processes for assessing, identifying, and managing material risks from cybersecurity threats have been integrated into our overall risk management system and processes. For example, to identify and assess risks from cybersecurity threats, our enterprise risk management program considers cybersecurity as part of the Company’s risk assessment process, and our risk management framework requires risk owners to monitor key risks such as cybersecurity on a continuous basis. See Item 1, “Business—Enterprise Risk Management” for additional information.
As a foundation of our approach to cybersecurity risk, we have implemented processes at several levels across our enterprise to help assess, identify and manage cybersecurity risks. Our privacy and information security policies and standards govern our business lines and subsidiaries and encompass incident response, access control, and vendor management, among others. In order to develop these policies and procedures, we monitor the privacy and cybersecurity laws, regulations and guidance applicable to us in the regions where we do business. See Item 1, “Business—Regulation—Cybersecurity and Privacy” for additional details.
We annually undergo an external evaluation by a third party cybersecurity firm with a specialty in penetration testing. Our vendor management group performs information security risk assessments on our third party service providers with respect to their ability to protect data from unauthorized access, and on a risk weighted basis, we perform re-assessments routinely. The Company also requires these vendors to adhere to privacy and cybersecurity measures and has a third party service provider monitoring program in place that reviews changes to the security posture of certain higher risk third party service providers. In addition, the Company negotiates appropriately protective terms in its legal agreements with these providers.
Our operations rely on the secure processing, storage and transmission of confidential and other information in our computer systems and networks. Computer viruses, hackers,
employee or vendor error or misconduct, and other external hazards could expose our information systems and those of our vendors to security breaches, cybersecurity incidents or other disruptions, any of which could materially and adversely affect our ability to conduct our business. While we and third parties with which we do business have experienced cybersecurity incidents, to date, the Company does not believe that any previous cybersecurity incidents have materially affected the Company.
The sophistication of cybersecurity threats, including through the use of AI, continues to increase, and the controls and preventative actions that we take to reduce the risk of cybersecurity incidents and protect our systems, including the regular testing of our cybersecurity incident response plan, may be insufficient. In addition, new technology that could result in greater operational efficiency such as AI may further expose our information systems to the risk of cybersecurity incidents. See Item 1A, “Risk FactorsRisk Relating to Our Industry, Business & Operations—Technology failures and cyber attacks, including, but not limited to, ransomware, exploitation in software or code with malicious intent, state-sponsored cyber attacks, as well as vulnerabilities relating to new technologies, such as generative AI, may impact us or our business partners and service providers, causing a disruption in service and operations which could materially and negatively impact our business and/or expose us to litigation.”
Governance
As part of our overall risk management approach, we recognize the importance of identifying and managing cybersecurity risk at several levels, including Board oversight, executive commitment and employee training. Our Audit Committee, comprised of independent directors from our Board, oversees the Board’s responsibilities relating to the operational (including information technology (“IT”) risks, business continuity and data security) risk affairs of the Company. Our Audit Committee is informed of such risks through quarterly reports from our Chief Information Officer (“CIO”) and Chief Operations Officer (“COO”), with input from our Chief Information Security Officer (“CISO”).
Our cybersecurity and IT executives include our CIO, who has 33 years of experience in Information Technology,

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including 20 years in the financial services space. His responsibilities as the CIO include information security oversight, and board reporting. Our CISO, has 18 years of experience in Information Security. The CISO holds certifications from leading security associations. The CISO, reporting to the CIO, oversees the implementation and compliance of our information security standards and mitigation of related risks. We also have three management level committees and a team that supports our processes to assess and manage cybersecurity risk.
The Privacy and Security Committee (“P&S Committee”), co-chaired by the CISO and our Deputy General Counsel, brings together Information Security, legal, compliance, human resources and other function leads. The P&S Committee provides a forum for these cross-functional members of management to: consider new laws and regulations relating to privacy and security; consider emerging risks relating to cybersecurity and data protection; approve, review and update policies and standards as appropriate; and promote cross-functional collaboration to manage cybersecurity and privacy risks across the enterprise.
The Operational Risk Committee (“ORC”), comprised of senior IT, operations, risk, legal and compliance leaders across business segments, manages risks from matters related to business continuity including risks posed by cybersecurity threats, and implements controls to mitigate such operational risks. Among other processes, the ORC reviews the Company’s programs and processes related to business operations and resiliency, including crisis incident management and cyber risk response, third party risk, vendor management, facilities, unplanned downtime,
business disruption, business continuity and disaster recovery. Key information reviewed by the ORC, including as it relates to cybersecurity, are included in the COO’s quarterly report to the Audit Committee.
The Crisis Incident Management Team (“CIMT”), which includes senior executives across the Company, is alerted as appropriate to cybersecurity incidents, natural disasters and business outages. Each quarter, the CIMT exercises its communication plan to confirm that its members can be alerted quickly in the event of an actual crisis and meet as a team to discuss the event and response options.
The IT Steering Committee (“IT Committee”, which includes our CIO, CISO, COO and members of executive leadership, oversees IT initiatives while considering cybersecurity risk mitigation with respect to these initiatives.
The P&S Committee, ORC, CIMT and IT Committee are comprised of executives with reporting lines to the CIO and/or the COO.
At the employee level, we maintain an experienced IT security team tasked with ongoing reviews of our technology systems, implementation of our privacy and cybersecurity program and support for the CIO and CISO in carrying out their reporting, security and mitigation functions. We also hold employee training on privacy and cybersecurity, records and information management, conduct regular phishing tests and generally seek to promote awareness of cybersecurity risk through communication and education of our employee population.
ITEM 2. PROPERTIES
We lease office space in Bermuda where our principal offices are located. Our insurance group leases space for offices in the U.S., Canada, Bermuda, U.K., Europe and Australia. Our reinsurance group leases space for offices in the U.S., Bermuda, U.K., Europe, Canada and Dubai. Our mortgage group leases space for offices in the U.S., Hong Kong and Australia. We believe that the above described office space is adequate for our needs. However, as we continue to develop our business, we may open additional office locations in 2024.
ITEM 3. LEGAL PROCEEDINGS
We, in common with the insurance industry in general, are subject to litigation and arbitration in the normal course of our business. As of December 31, 2023, we were not a party to any litigation or arbitration which is expected by management to have a material adverse effect on our results of operations and financial condition and liquidity.

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ITEM 4. MINE SAFETY DISCLOSURES
Not applicable.
PART II
ITEM 5. MARKET FOR REGISTRANT’S COMMON EQUITY, RELATED STOCKHOLDER MATTERS AND ISSUER PURCHASES OF EQUITY SECURITIES
HOLDERS
As of February 16, 2024, and based on information provided to us by our transfer agent and proxy solicitor, there were 1,200 holders of record of our common shares (Nasdaq: ACGL) and approximately 360,100 beneficial holders of our common shares.
ISSUER PURCHASES OF EQUITY SECURITIES
The following table summarizes our purchases of common shares for the 2023 fourth quarter:
Issuer Purchases of Common Shares
Period
Total Number of Shares Purchased (1)
Average Price Paid per Share
Total Number of Shares Purchased as Part of Publicly Announced Plans or Programs
Approximate Dollar Value of Shares that May Yet be Purchased Under the Plan or Programs ($000’s) (2)
10/1/2023-10/31/202356,056$82.70$1,000,000
11/1/2023-11/30/2023134,250$85.28$1,000,000
12/1/2023-12/31/202311,201$74.71$1,000,000
Total
201,507$83.97$1,000,000
(1)    This column represents (in whole shares) open market share repurchases, including an aggregate of 56,056, 134,250 and 11,201 shares repurchased by Arch Capital during October, November and December, respectively, other than through publicly announced plans or programs. We repurchased these shares from employees in order to facilitate the payment of withholding taxes on restricted shares granted and the exercise of stock appreciation rights, in each case at their fair value as determined by reference to the closing price of our common shares on the day the restricted shares vested or the stock appreciation rights were exercised.
(2)    This column represents the remaining approximate dollar amount available at the end of each applicable period under Arch Capital’s $1.0 billion share repurchase authorization, authorized by the Board of Directors of ACGL on December 19, 2022. Repurchases may be effected from time to time in open market or privately negotiated transactions through December 31, 2024.


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PERFORMANCE GRAPH
The following graph compares the cumulative total shareholder return on our common shares for each of the last five years through December 31, 2023 to the cumulative total return, assuming reinvestment of dividends, of (1) S&P 500 Composite Stock Index (“S&P 500 Index”) and (2) the S&P 500 Property & Casualty Insurance Index. The share price performance presented below is not necessarily indicative of future results.
CUMULATIVE TOTAL SHAREHOLDER RETURN (1)(2)(3)
1724
Base Period
Company Name/Index12/31/1812/31/1912/31/2012/31/2112/31/2212/31/23
lArch Capital Group Ltd.$100.00 $160.52 $134.99 $166.35 $234.96 $277.96 
n
S&P 500 Index$100.00 $131.49 $155.68 $200.37 $164.08 $207.21 
pS&P 500 Property & Casualty Insurance Index$100.00 $125.87 $134.63 $160.58 $190.89 $211.53 
(1)    Stock price appreciation plus dividends.
(2)    The above graph assumes that the value of the investment was $100 on December 31, 2018.
(3)    This graph is not “soliciting material,” is not deemed filed with the SEC and is not to be incorporated by reference in any filing by us under the Securities Act of 1933 or the Securities and Exchange Act of 1934, whether made before or after the date hereof and irrespective of any general incorporation language in any such filing.
ITEM 6. [RESERVED]


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ITEM 7. MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS
The following is a discussion and analysis of the financial condition and results of operations for the year ended December 31, 2023 and 2022. Comparisons between 2022 and 2021 have been omitted from this Form 10-K, but may be found in "Management's Discussion and Analysis of Financial Condition and Results of Operations" in Part II, Item 7 of the Company's Annual Report on Form 10-K year ended December 31, 2022 filed with the SEC. This discussion and analysis contains forward-looking statements which involve inherent risks and uncertainties. All statements other than statements of historical fact are forward-looking statements. These statements are based on our current assessment of risks and uncertainties. Actual results may differ materially from those expressed or implied in these statements and, therefore, undue reliance should not be placed on them. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed in this report, including the sections entitled “Cautionary Note Regarding Forward-Looking Statements,” and “Risk Factors.”
This discussion and analysis should be read in conjunction with our audited consolidated financial statements and notes thereto presented under Item 8. All amounts are in millions, except per share amounts, unless otherwise noted.
 Page No.
  
Overview
Current Outlook
Financial Measures
Comments on Non-GAAP Measures
Results of Operations
Insurance Segment
Reinsurance Segment
Mortgage Segment
Corporate Segment
Summary of Critical Accounting Estimates
Financial Condition
Liquidity
Capital Resources
Contractual Obligations and Commitments
Ratings
Catastrophic Events and Severe Economic Events
Market Sensitive Instruments and Risk Management

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OVERVIEW
Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “we” or “us”) is a publicly listed Bermuda exempted company with approximately $21.1 billion in capital at December 31, 2023 and is part of the S&P 500 index. Through operations in Bermuda, the United States, United Kingdom, Europe, Canada and Australia, we write specialty lines of property and casualty insurance and reinsurance, as well as mortgage insurance and reinsurance, on a worldwide basis. It is our belief that our underwriting platform, experienced management team and strong capital base enable us to establish a strong presence in the markets where we operate.
The worldwide property casualty insurance and reinsurance industry is highly competitive and has traditionally been subject to an underwriting cycle. In that cycle, a “hard” market is evidenced by high premium rates, restrictive underwriting standards, narrow terms and conditions, and strong underwriting profits for insurers. A “hard” market typically attracts new capital and new entrants to the market and is eventually followed by a “soft” market, which has characteristics of low premium rates, relaxed underwriting standards, broader terms and conditions, and lower underwriting profits for insurers. Market conditions in the property and casualty arena may affect, among other things, the demand for our products, our ability to increase premium rates, the terms and conditions of the insurance policies we write, changes in the products offered by us or changes in our business strategy.
The financial results of the property casualty insurance and reinsurance industry are influenced by factors such as the frequency and/or severity of claims and losses, including natural disasters or other catastrophic events, variations in interest rates and financial markets, changes in the legal, regulatory and judicial environments, inflationary pressures and general economic conditions. These factors influence, among other things, the demand for insurance or reinsurance, the supply of which is generally related to the total capital of competitors in the market.
Mortgage insurance and reinsurance are subject to similar cycles to property casualty except that they have historically been more dependent on macroeconomic conditions.
CURRENT OUTLOOK
As we conclude another record year and head into 2024, our objective remains the same, to deliver long term value for our shareholders. With our commitment to underwriting acumen, prudent reserving and cycle-focused capital allocation, we were able to deliver another profitable year. Our full year financial performance was excellent, with an annualized net income and operating returns on average common equity of 29.7% and 21.6%, respectively. See “Comment on Non-GAAP Financial Measures.”
We continue to execute our cycle management strategy by actively allocating capital to the segments with the best risk adjusted returns. Growth was strong all year in our property and casualty segments which wrote over $17 billion of gross premium written and over $12.4 billion of net premium written, and, while most current growth opportunities are in the property and casualty sector, it is important to recognize the steady and quality underwriting performance of our mortgage group. Although mortgage market conditions meant fewer opportunities for top line growth, the mortgage segment continued to generate significant profits totaling nearly $1.1 billion of underwriting income for the year.
At Arch, our primary focus has always been on rate adequacy, regardless of market conditions. Our underwriting culture dictates that we include a meaningful margin of safety in our pricing, especially in softer conditions and take a longer term view of inflation and rates. As underwriting opportunities arise, our reinsurance segment is able to react quickly and significantly when markets pivot. In the reinsurance property market, our overall exposure to property catastrophe risk remains well below our self imposed threshold (see “Catastrophic and Severe Economic Events”) and, because of our diversified portfolio and broad set of opportunities, we retain the flexibility to pursue the most attractive returns across lines and geographies. The hard market conditions remained elevated in several lines during the January 1, 2024 renewal cycle.
In our insurance segment, we continue to take advantage of favorable global market conditions with net premiums written up 17% in 2023. Although pricing has declined in some lines, such as large public directors and officers liability insurance, the markets in which our insurance segment operates generally continue to provide adequate returns. In 2023, the most notable gains came in property, marine, construction and national accounts.


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Inflation continues to be a focus for our industry. We proactively analyze available data and we incorporate emerging trends into our pricing and reserving. We believe that this discipline, coupled with increases in future investment returns and prudent reserving, allows us to maximize the capabilities of our diversified platform.
Our mortgage segment continues to deliver a steady level of earnings for our shareholders. Higher persistency of our in force U.S. primary mortgage insurance portfolio helped offset the significant industry wide reduction in mortgage originations in 2023. The credit profile of our U.S. primary mortgage insurance portfolio remains excellent and the overall mortgage market continues to be disciplined and return focused. We continue to see meaningful opportunities for the mortgage segment outside of the U.S. and our strategic decision to diversify our mortgage operations is yielding positive results.
FINANCIAL MEASURES
Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for Arch Capital’s common shareholders:
Book Value per Share
Book value per share represents total common shareholders’ equity available to Arch divided by the number of common shares and common share equivalents outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver of Arch Capital’s share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price. Book value per share was $46.94 at December 31, 2023, a 43.9% increase from $32.62 at December 31, 2022. The increase in book value per share in 2023 reflected strong underwriting and investment results and also reflected the establishment of a net deferred income tax asset of $1.18 billion, or $3.16 per share, related to the enactment of Bermuda’s new corporate income tax.
Operating Return on Average Common Equity
Operating return on average common equity (“Operating ROAE”) represents annualized after-tax operating income available to Arch common shareholders divided by average common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common shareholders, a “non-GAAP measure” as defined in the SEC rules, represents net income available to Arch common shareholders, excluding net realized gains or losses
(which includes changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, loss on redemption of preferred shares and income taxes. Management uses Operating ROAE as a key measure of the return generated to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”
Our annualized net income return on average common equity was 29.7% for 2023, compared to 11.6% for 2022. Our Operating ROAE was 21.6% for 2023, compared to 14.8% for 2022, with the higher return in 2023 primarily resulting from improved underwriting results and growth in net investment income.
Total Return on Investments
Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains or losses and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis before investment expenses, excluding amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. Management uses total return on investments as a key measure of the return generated for Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns. See “Comment on Non-GAAP Financial Measures.”
The following table summarizes the pre-tax total return (before investment expenses) of investments held by Arch compared to the benchmark return (both based in U.S. Dollars) against which we measured our portfolio during the periods:
Arch
Portfolio (1)
Benchmark
 Return
Year Ended December 31, 20237.57 %8.28 %
Year Ended December 31, 2022-6.45 %-9.60 %
(1) Our investment expenses were approximately 0.26% and 0.28%, respectively, of average invested assets in 2023 and 2022.

Total return for 2023 reflected strong returns in fixed income, equity and alternative strategies. Actual performance trailed the benchmark return for the year, largely due to the portfolio being underweight risk assets compared to the benchmark. We continue to maintain a relatively short duration on our portfolio of 2.91 years at December 31, 2023.

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The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality while also matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. Although the estimated duration and average credit quality of this index will move as the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index except to incorporate changes to the mix of liability currencies and durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. The index is intended solely to provide, unlike many master indices that change based on the size of their constituent indices, a relatively stable basket of investable indices. At December 31, 2023, the benchmark return index had an average credit quality of “A1” by Moody’s, an estimated duration of 2.64 years.
The benchmark return index included weightings to the following indices:
%
ICE BofA 1-10 Year U.S. Corporate Index
28.50 
Yield on 3-5 Year U.S. Treasury Index plus 6%16.50 
ICE BofA 1-10 Year U.S. Treasury Index15.75 
ICE BofA U.S. High Yield Constrained Index8.00 
ICE BofA 1-5 Year U.K. Gilt Index5.50 
JPM CLOIE Investment Grade4.50 
ICE BofA German Government 1-5 Year Index2.80 
ICE BofA German Government 5-7 Year Index1.20 
S&P 500 Total Return Index4.00 
ICE BofA 0-3 Month U.S. Treasury Index3.00 
ICE BofA U.S. ABS & CMBS Index3.00 
ICE BofA 1-5 Year Australia Government Index2.50 
ICE BofA U.S. Mortgage Backed Securities Index1.50 
ICE BofA 1-5 Year Canada Government Index2.70 
ICE BofA 15+ Year Canada Government Index0.30 
ICE BofA 1-5 Year Japan Government Index0.25 
Total
100.00 %
COMMENT ON NON-GAAP FINANCIAL MEASURES
Throughout this filing, we present our operations in the way we believe will be the most meaningful and useful to investors, analysts, rating agencies and others who use our financial information in evaluating the performance of our company. This presentation includes the use of after-tax operating income available to Arch common shareholders, which is defined as net income available to Arch common shareholders, excluding net realized gains or losses (which includes changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings), equity in net income or loss of investments accounted for using the equity method, net foreign exchange
gains or losses, transaction costs and other, net of income taxes (which for the 2023 fourth quarter includes a one-time deferred income tax benefit related to the enactment of Bermuda’s new corporate income tax), and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under “Results of Operations” below.
We believe that net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other in any particular period are not indicative of the performance of, or trends in, our business. Although net realized gains or losses, equity in net income or loss of investments accounted for using the equity method and net foreign exchange gains or losses are an integral part of our operations, the decision to realize these items are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of our financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in the allowance for credit losses and net impairment losses recognized in earnings on the Company’s investments represent other-than-temporary declines in expected recovery values on securities without actual realization.
The use of the equity method on certain of our investments in certain funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on our proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). This method of accounting is different from the way we account for our other investments and the timing of the recognition of equity in net income or loss of investments accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments.
Transaction costs and other include advisory, financing, legal, severance, incentive compensation and other transaction costs related to acquisitions. We believe that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, our business performance.

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In the 2023 fourth quarter, the Company established a net deferred income tax asset, resulting in a benefit of $1.18 billion, consistent with the transition provisions specified in the Bermuda CIT Act. Due to the non-recurring nature of this one-time item, the Company believes that excluding this item from after-tax operating income or loss available to common shareholders provides the user with a better evaluation of the Company’s ongoing business performance.
We believe that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of our business since we evaluate the performance of and manage our business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, we believe that this presentation enables investors and other users of our financial information to analyze our performance in a manner similar to how management analyzes performance. We also believe that this measure follows industry practice and, therefore, allows the users of financial information to compare our performance with our industry peer group. We believe that the equity analysts and certain rating agencies that follow us and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.
Our segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Such measures represent the pre-tax profitability of our underwriting operations and include net premiums earned plus other underwriting income, less losses and loss adjustment expenses, acquisition expenses and other operating expenses. Other operating expenses include those operating expenses that are incremental and/or directly attributable to our individual underwriting operations. Underwriting income or loss does not incorporate items included in our corporate segment. While these measures are presented in note 4, “Segment Information,” to our consolidated financial statements in Item 8, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis and a subtotal before the contribution from the ‘other’ segment, in accordance with Regulation G, is shown in note 4, “Segment Information,” to our consolidated financial statements in Item 8.
We measure segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income, income from operating affiliates and other non-underwriting related items are not allocated to each underwriting segment.
Along with consolidated underwriting income, we provide a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Through June 30, 2021, the ‘other’ segment included the results of Somers Holdings Ltd. (formerly Watford Holdings Ltd.). Somers Holdings Ltd. is the parent of Somers Re Ltd., a multi-line Bermuda reinsurance company (together with Somers Holdings Ltd., “Somers”). Pursuant to GAAP, Somers was considered a variable interest entity and we concluded that we were the primary beneficiary of Somers. As such, we consolidated the results of Somers in our consolidated financial statements through June 30, 2021. In the 2020 fourth quarter, Arch Capital, Somers, and Greysbridge Ltd., a wholly-owned subsidiary of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). Arch Capital assigned its rights under the Merger Agreement to Greysbridge Holdings Ltd. (“Greysbridge”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by Arch and 30% by certain funds managed by Kelso and 30% by certain funds managed by Warburg. Based on the governing documents of Greysbridge, we concluded that, while we retain significant influence over Greysbridge, Greysbridge does not constitute a variable interest entity. Accordingly, effective July 1, 2021, we no longer consolidate the results of Somers in our consolidated financial statements and footnotes. See note 12, “Variable Interest Entities and Noncontrolling Interests” and note 4, “Segment Information,” to our consolidated financial statements for additional information on Somers.
Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments.
Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains or losses (excluding changes in the allowance for credit losses on non-investment related financial assets) and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, excludes amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. There is no directly comparable GAAP financial measure for total return. Management uses

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total return on investments as a key measure of the return generated to Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns which we measured our portfolio against during the periods.
RESULTS OF OPERATIONS
The following table summarizes our consolidated financial data, including a reconciliation of net income available to Arch common shareholders to after-tax operating income available to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”
Year Ended December 31,
20232022
Net income available to Arch common shareholders$4,403 $1,436 
Net realized (gains) losses (1)165 663 
Equity in net (income) loss of investments accounted for using the equity method(278)(115)
Net foreign exchange (gains) losses62 (102)
Transaction costs and other— 
Income tax expense (benefit) (2)(1,157)(42)
After-tax operating income available to Arch common shareholders$3,201 $1,840 
Beginning common shareholders’ equity$12,080 $12,716 
Ending common shareholders’ equity17,523 12,080 
Average common shareholders’ equity $14,802 $12,398 
Annualized net income return on average common equity % 29.7 11.6 
Annualized operating return on average common equity %21.6 14.8 
(1) Net realized gains or losses include realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments and changes in the allowance for credit losses on financial assets.
(2) Income tax on net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction. The 2023 results were impacted by the establishment of a net deferred income tax asset of $1.18 billion, or $3.10 per share, related to the enactment of Bermuda’s new corporate income tax.

Segment Information
We classify our businesses into three underwriting segments – insurance, reinsurance and mortgage – and two operating segments – corporate and ‘other.’ Our insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to our chief operating decision makers, the Chief Executive Officer of Arch Capital, the Chief Financial Officer and Treasurer of Arch Capital and the President and Chief Underwriting Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets and accordingly, investment income is not allocated to each underwriting segment.
We determined our reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of our consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.
Insurance Segment
The following tables set forth our insurance segment’s underwriting results:
Year Ended December 31,
20232022% Change
Gross premiums written$7,911 $6,931 14.1 
Premiums ceded(2,049)(1,910)
Net premiums written5,862 5,021 16.7 
Change in unearned premiums(416)(461)
Net premiums earned5,446 4,560 19.4 
Losses and loss adjustment expenses(3,122)(2,784)
Acquisition expenses(1,055)(887)
Other operating expenses(819)(665)
Underwriting income$450 $224 100.9 
Underwriting Ratios% Point Change
Loss ratio57.3 %61.0 %(3.7)
Acquisition expense ratio19.4 %19.4 %— 
Other operating expense ratio15.0 %14.6 %0.4 
Combined ratio91.7 %95.0 %(3.3)
The insurance segment consists of our insurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

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Net Premiums Written.
The following tables set forth our insurance segment’s net premiums written by major line of business:
Year Ended December 31,
20232022
Amount%Amount%
Professional lines$1,401 23.9$1,502 29.9
Property, energy, marine and aviation1,219 20.8878 17.5
Programs742 12.7611 12.2
Construction and national accounts628 10.7470 9.4
Travel, accident and health559 9.5484 9.6
Excess and surplus casualty540 9.2461 9.2
Warranty and lenders solutions235 4.0139 2.8
Other538 9.2476 9.5
Total$5,862 100.0$5,021 100.0
Net premiums written by the insurance segment were 16.7% higher in 2023 than in 2022. The increase in net premiums written reflected growth in most lines of business, primarily due to rate increases, new business opportunities and growth in existing accounts.
Net Premiums Earned.
The following tables set forth our insurance segment’s net premiums earned by major line of business:
Year Ended December 31,
20232022
Amount%Amount%
Professional lines$1,419 26.1$1,314 28.8
Property, energy, marine and aviation1,06419.577216.9
Programs65812.159012.9
Construction and national accounts56110.34329.5
Travel, accident and health55710.249210.8
Excess and surplus casualty4868.93938.6
Warranty and lenders solutions1853.41282.8
Other5169.54399.6
Total$5,446 100.0$4,560 100.0
Net premiums written are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Net premiums earned by the insurance segment were 19.4% higher in 2023 than in 2022, reflecting changes in net premiums written over the previous five quarters.
Losses and Loss Adjustment Expenses.
The table below shows the components of the insurance segment’s loss ratio:
Year Ended December 31,
20232022
Current year
58.1 %61.6 %
Prior period reserve development
(0.8)%(0.6)%
Loss ratio
57.3 %61.0 %
Current Year Loss Ratio.
The insurance segment’s current year loss ratio was 3.5 points lower in 2023 than in 2022. The 2023 loss ratio included 2.7 points of current year catastrophic event activity, spread across series of global events, compared to 5.2 points in 2022, primarily related to Hurricane Ian and a series of global events. The balance of the change in the 2023 current year loss ratio resulted, in part, from the effect of rate increases, changes in mix of business and the level of attritional losses.
Prior Period Reserve Development.
The insurance segment’s net favorable development was $42 million, or 0.8 points, for 2023, compared to $25 million, or 0.6 points, for 2022. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the insurance segment’s prior year reserve development.
Underwriting Expenses.
The insurance segment’s underwriting expense ratio was 34.4% in 2023, compared to 34.0% in 2022, with the increase primarily related to higher incentive compensation costs.

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Reinsurance Segment 
The following tables set forth our reinsurance segment’s underwriting results:
Year Ended December 31,
20232022% Change
Gross premiums written$9,113 $6,948 31.2 
Premiums ceded(2,559)(2,024)
Net premiums written6,554 4,924 33.1 
Change in unearned premiums(718)(965)
Net premiums earned5,836 3,959 47.4 
Other underwriting income (loss)17 
Losses and loss adjustment expenses(3,227)(2,568)
Acquisition expenses(1,240)(813)
Other operating expenses(288)(268)
Underwriting income$1,098 $315 248.6 
Underwriting Ratios% Point Change
Loss ratio55.3 %64.9 %(9.6)
Acquisition expense ratio21.2 %20.5 %0.7 
Other operating expense ratio4.9 %6.8 %(1.9)
Combined ratio81.4 %92.2 %(10.8)
The reinsurance segment consists of our reinsurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.
Net Premiums Written.
The following tables set forth our reinsurance segment’s net premiums written by major line of business:
Year Ended December 31,
20232022
Amount%Amount%
Other specialty$2,412 36.8$1,983 40.3
Property excluding property catastrophe1,910 29.11,276 25.9
Casualty1,002 15.3973 19.8
Property catastrophe865 13.2416 8.4
Marine and aviation250 3.8167 3.4
Other1151.81092.2
Total$6,554 100.0$4,924 100.0
Net premiums written by the reinsurance segment were 33.1% higher in 2023 than in 2022. The growth in net premiums written reflected increases in all lines of business, primarily due to new business, rate increases and growth in existing accounts.

Net Premiums Earned.
The following tables set forth our reinsurance segment’s net premiums earned by major line of business:
Year Ended December 31,
20232022
Amount%Amount%
Other specialty$2,097 35.9$1,378 34.8
Property excluding property catastrophe1,645 28.21,090 27.5
Casualty1,005 17.2855 21.6
Property catastrophe742 12.7367 9.3
Marine and aviation229 3.9159 4.0
Other118 2.0110 2.8
Total$5,836 100.0$3,959 100.0
Net premiums earned in 2023 were 47.4% higher than in 2022, reflecting changes in net premiums written over the previous five quarters, including the mix and type of business written.
Other Underwriting Income (Loss).
Other underwriting income in 2023 was $17 million, compared to $5 million in 2022.
Losses and Loss Adjustment Expenses.
The table below shows the components of the reinsurance segment’s loss ratio:
Year Ended December 31,
20232022
Current year
57.9 %69.7 %
Prior period reserve development
(2.6)%(4.8)%
Loss ratio
55.3 %64.9 %
Current Year Loss Ratio.
The reinsurance segment’s current year loss ratio was 11.8 points lower in 2023 than in 2022. The 2023 loss ratio included 6.8 points for current year catastrophic event activity spread across a series of global events, compared to 13.9 points in 2022, primarily related to Hurricane Ian and a series of global events. The balance of the change in the 2023 current year loss ratio resulted, in part, from the effect of rate increases, changes in mix of business and the level of attritional losses.
Prior Period Reserve Development.
The reinsurance segment’s net favorable development was $152 million, or 2.6 points, for 2023, compared to $190 million, or 4.8 points, for 2022, See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the reinsurance segment’s prior year reserve development.

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Underwriting Expenses.
The underwriting expense ratio for the reinsurance segment was 26.1% in 2023, compared to 27.3% in 2022, with the decrease primarily due to growth in net premiums earned. The 2022 ratio also reflected a lower level of contingent commissions on ceded business, primarily due to Hurricane Ian.
Mortgage Segment
The following tables set forth our mortgage segment’s underwriting results.
Year Ended December 31,
20232022% Change
Gross premiums written$1,387 $1,455 (4.7)
Premiums ceded(335)(322)
Net premiums written1,052 1,133 (7.1)
Change in unearned premiums106 27 
Net premiums earned1,158 1,160 (0.2)
Other underwriting income14 
Losses and loss adjustment expenses103 324 
Acquisition expenses(17)(40)
Other operating expenses(194)(195)
Underwriting income$1,064 $1,257 (15.4)
Underwriting Ratios% Point Change
Loss ratio(8.9)%(28.0)%19.1 
Acquisition expense ratio1.4 %3.5 %(2.1)
Other operating expense ratio16.8 %16.8 %— 
Combined ratio9.3 %(7.7)%17.0 
Net Premiums Written.
The following table sets forth our mortgage segment’s net premiums written by underwriting unit:
Year Ended December 31,
20232022
U.S. primary mortgage insurance$737 $769 
U.S. credit risk transfer (CRT) and other220196
International mortgage insurance/reinsurance95168
Total$1,052 $1,133 
Net premiums written for 2023 were 7.1% lower than in 2022. The reduction in net premiums written primarily reflected lower levels of mortgage originations in the Australian market and a decrease in U.S. primary mortgage insurance business, which was partially offset by a higher volume of credit risk transfer transactions. Premiums ceded for 2023 reflected $17 million of one-time payments related to the termination of eight Bellemeade agreements.
The persistency rate of the U.S. primary portfolio of mortgage loans was 83.6% at December 31, 2023 compared to 79.5% at December 31, 2022, with the increase primarily reflecting a lower level of refinancing activity due to a higher interest rate environment. The persistency rate represents the percentage of mortgage insurance in force at the beginning of a 12-month period that remains in force at the end of such period.
Net Premiums Earned.
The following table sets forth our mortgage segment’s net premiums earned by underwriting unit:
Year Ended December 31,
20232022
U.S. primary mortgage insurance$759 $804 
U.S. credit risk transfer (CRT) and other220196
International mortgage insurance/reinsurance179160
Total$1,158 $1,160 
Net premiums earned for 2023 were 0.2% lower than in 2022. The 2023 results were impacted by the termination of the Bellemeade agreements noted above.
Other Underwriting Income.
Other underwriting income, which is primarily related to GSE risk-sharing transactions services and our whole mortgage loan purchase and sell program, was $14 million for 2023, compared to $8 million for 2022.
Losses and Loss Adjustment Expenses.
The table below shows the components of the mortgage segment’s loss ratio:
Year Ended December 31,
20232022
Current year
20.8 %19.8 %
Prior period reserve development
(29.7)%(47.8)%
Loss ratio
(8.9)%(28.0)%
Unlike property and casualty business for which we estimate ultimate losses on premiums earned, losses on U.S. primary mortgage insurance business are only recorded at the time a borrower is delinquent on their mortgage, in accordance with primary mortgage insurance industry practice. Because our primary mortgage insurance reserving process does not take into account the impact of future losses from loans that are not delinquent, mortgage insurance loss reserves are not an estimate of ultimate losses. In addition to establishing loss reserves for delinquent loans, under GAAP, we are required to establish a premium deficiency reserve for our mortgage insurance products if the amount of expected future losses and maintenance costs exceeds expected future premiums, existing reserves and the anticipated investment income for

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such product. We assess the need for a premium deficiency reserve on a quarterly basis and perform a full analysis annually. No such reserve was established during 2023 or 2022.
Current Year Loss Ratio.
The mortgage segment’s current year loss ratio was 1.0 point higher in 2023 compared to 2022. The higher current year loss ratio for 2023 reflected an increase in new delinquencies. The percentage of loans in default on U.S. primary mortgage insurance decreased from 1.77% at December 31, 2022 to 1.74% at December 31, 2023.
We insure mortgages for homes in areas that have been impacted by catastrophic events. Generally, mortgage insurance losses occur only when a credit event occurs and, following a physical damage event, when the home is restored to pre-storm condition. Our ultimate claims exposure will depend on the number of delinquency notices received and the ultimate claim rate related to such notices. In the event of natural disasters, cure rates are influenced by the adequacy of homeowners and flood insurance carried on a related property, and a borrower's access to aid from government entities and private organizations, in addition to other factors which generally impact cure rates in unaffected areas.
Prior Period Reserve Development.
The mortgage segment’s net favorable development was $344 million, or 29.7 points, for 2023, compared to $554 million, or 47.8 points, for 2022. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the mortgage segment’s prior year reserve development.
Underwriting Expenses.
The underwriting expense ratio for the mortgage segment was 18.2% for 2023, compared to 20.3% for 2022, with the decrease primarily due to a higher level of profit commissions on ceded U.S. primary mortgage insurance business in 2023.
Corporate Segment
The corporate segment results include net investment income, net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes items (which for 2023 reflects the establishment of a net deferred income tax asset related to the enactment of Bermuda’s new corporate income tax), income from operating affiliates and items related to our non-cumulative preferred shares.
Net Investment Income.
The components of net investment income were derived from the following sources:
Year Ended December 31,
20232022
Fixed maturities
$917 $469 
Short-term investments
68 29 
Equity securities
22 22 
Other (1)
93 47 
Gross investment income
1,100 567 
Investment expenses (2)
(77)(71)
Net investment income
$1,023 $496 
(1)    Includes interest income on operating cash, distributions from investment funds and other items.
(2)    Investment expenses were approximately 0.26% of average invested assets for 2023, compared to 0.28% for 2022.

The pre-tax investment income yield was 3.53% for 2023, compared to 1.99% for 2022. The growth in net investment income for 2023 compared to 2022 primarily reflected higher yields available in the financial markets. Net cash flow from operating activities contributed $5.7 billion in 2023, which increased our invested asset base and contributed to the growth in net investment income. The pre-tax investment income yields were calculated based on amortized cost. Yields on future investment income may vary based on financial market conditions, investment allocation decisions and other factors.
Net Realized Gains or Losses.
We recorded net realized losses of $165 million for 2023, compared to net realized losses of $663 million for 2022. Currently, our portfolio is actively managed to maximize total return within certain guidelines. The effect of financial market movements on the investment portfolio will directly impact net realized gains or losses as the portfolio is rebalanced. Net realized gains or losses from the sale of fixed maturities primarily results from our decisions to reduce credit exposure, to change duration targets, to rebalance our portfolios or due to relative value determinations.

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Net realized gains or losses also include realized and unrealized contract gains and losses on our derivative instruments, changes in the fair value of assets accounted for using the fair value option and in the fair value of equities, along with changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings. See note 9, “Investment Information—Net Realized Gains (Losses),” and note 9, “Investment Information—Allowance for Credit Losses,” to our consolidated financial statements for additional information.
Equity in Net Income (Loss) of Investments Accounted for Using the Equity Method.
We recorded $278 million of equity in net income related to investments accounted for using the equity method for 2023, compared to $115 million for 2022. Investments accounted for using the equity method totaled $4.6 billion at December 31, 2023, compared to $3.8 billion at December 31, 2022. See note 9, “Investment Information—Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method,” to our consolidated financial statements in Item 8 for additional information.
Other Income or Losses
Other income for the 2023 period was $27 million, compared to a loss of $27 million for the 2022 period. Amounts in both periods primarily reflect changes in the cash surrender value of our investment in corporate-owned life insurance.
Corporate Expenses.
Corporate expenses were $96 million for 2023, compared to $95 million for 2022. Such amounts primarily represent certain holding company costs necessary to support our worldwide operations and costs associated with operating as a publicly traded company.
Transaction Costs and Other.
Transaction costs and other were $6 million for 2023, compared to nil for 2022. The 2023 expenses were primarily related to acquisition activity.
Amortization of Intangible Assets.
Amortization of intangible assets for 2023 was $95 million, compared to $106 million for 2022. Amounts in 2023 and 2022 primarily related to amortization of finite-lived intangible assets. See note 2, “Acquisitions."
Interest Expense.
Interest expense was $133 million for 2023, compared to $131 million for 2022. Interest expense primarily reflects amounts related to our outstanding senior notes.
Net Foreign Exchange Gains or Losses.
Net foreign exchange losses for 2023 were $60 million, compared to net foreign exchange gains for 2022 of $102 million. Amounts in such periods were primarily unrealized and resulted from the effects of revaluing our net insurance liabilities required to be settled in foreign currencies at each balance sheet date.
Income Tax Expense.
Our income tax provision on income before income taxes resulted in a benefit of 24.5% for 2023, compared to an expense of 5.1% for 2022. The 2023 provision reflected the establishment of a net deferred income tax asset of $1.18 billion related to the enactment of Bermuda’s new corporate income tax. Our effective tax rate fluctuates from year to year consistent with the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction.
See note 15, “Income Taxes,” to our consolidated financial statements in Item 8 for a reconciliation of the difference between the provision for income taxes and the expected tax provision at the weighted average statutory tax rate for 2023 and 2022.
Income (Loss) from Operating Affiliates.
We recorded $184 million of net income from our operating affiliates in the 2023 period, compared to income of $75 million in the 2022 period and primarily reflects amounts related to the Company’s investment in Somers Group Holdings Ltd. and Coface SA. See note 9, “Investment Information—Investments in Operating Affiliates,” to our consolidated financial statements for additional information.


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SUMMARY OF CRITICAL ACCOUNTING ESTIMATES
The preparation of consolidated financial statements in accordance with GAAP requires us to make many estimates and judgments that affect the reported amounts of assets, liabilities (including reserves), revenues and expenses, and related disclosures of contingent liabilities. On an ongoing basis, we evaluate our estimates, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, allowance for current expected credit losses, investment valuations, goodwill and intangible assets, bad debts, income taxes, contingencies and litigation. We base our estimates on historical experience, where possible, and on various other assumptions that we believe to be reasonable under the circumstances, which form the basis for our judgments about the carrying values of assets and liabilities that are not readily apparent from other sources. Actual results will differ from these estimates and such differences may be material. We believe that the following critical accounting policies affect significant estimates used in the preparation of our consolidated financial statements.
Loss Reserves
We are required by applicable insurance laws and regulations and GAAP to establish reserves for losses and loss adjustment expenses, or “Loss Reserves”, that arise from the business we underwrite. Loss Reserves for our insurance, reinsurance and mortgage operations are balance sheet liabilities representing estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for additional information on our reserving process.

At December 31, 2023 and 2022, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows:
December 31,
20232022
Insurance segment:
Case reserves$2,730 $2,398 
IBNR reserves5,6264,934
Total net reserves8,356 7,332 
Reinsurance segment:
Case reserves2,447 1,903 
Additional case reserves484481
IBNR reserves4,2603,403
Total net reserves7,191 5,787 
Mortgage segment:
Case reserves323 447 
IBNR reserves192186
Total net reserves515 633 
Total:
Case reserves5,500 4,748 
Additional case reserves484481
IBNR reserves10,0788,523
Total net reserves$16,062 $13,752 
At December 31, 2023 and 2022, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
December 31,
20232022
Professional lines$2,451 $2,070 
Construction and national accounts1,6931,558
Excess and surplus casualty975786
Programs 929843
Property, energy, marine and aviation836764
Travel, accident and health144139
Warranty and lenders solutions6547
Other1,2631,125
Total net reserves$8,356 $7,332 
At December 31, 2023 and 2022, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
December 31,
20232022
Casualty$2,725 $2,342 
Other specialty2,1251,476
Property excluding property catastrophe1,243993
Property catastrophe585536
Marine and aviation359292
Other154148
Total net reserves$7,191 $5,787 

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At December 31, 2023 and 2022, the mortgage segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
December 31,
20232022
U.S. primary mortgage insurance (1)$324 $415 
U.S. credit risk transfer (CRT) and other 100 109 
International mortgage insurance/reinsurance91 109 
Total net reserves$515 $633 
(1)    At December 31, 2023, 29.5% of total net reserves represent policy years 2013 and prior and the remainder from later policy years. At December 31, 2022, 36.1% of total net reserves represent policy years 2013 and prior and the remainder from later policy years.
Potential Variability in Loss Reserves
The following tables summarize the effect of reasonably likely scenarios on the key actuarial assumptions used to estimate our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, at December 31, 2023 by underwriting segment and reserving lines. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for a description of the lines of business included in each reserving line.
The scenarios shown in the tables summarize the effect of (i) changes to the expected loss ratio selections used at December 31, 2023, which represent loss ratio point increases or decreases to the expected loss ratios used, and (ii) changes to the loss development patterns used in our reserving process at December 31, 2023, which represent claims reporting that is either slower or faster than the reporting patterns used. We believe that the illustrated sensitivities are indicative of the potential variability inherent in the estimation process of those parameters. The results show the impact of varying each key actuarial assumption using the chosen sensitivity on our IBNR reserves, on a net basis and across all accident years.

INSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation
5 points
3 months
Third party occurrence business106
Third party claims-made business106
Multi-line and other specialty106
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$47 $67 
Third party occurrence business247 124 
Third party claims-made business431 211 
Multi-line and other specialty269 119 
INSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation
(5) points
(3) months
Third party occurrence business(10)(6)
Third party claims-made business(10)(6)
Multi-line and other specialty(10)(6)
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$(46)$(63)
Third party occurrence business(250)(91)
Third party claims-made business(420)(166)
Multi-line and other specialty(213)(85)
REINSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Casualty
10 points
6 months
Other specialty53
Property excluding property catastrophe53
Property catastrophe53
Marine and aviation53
Other53
Increase (decrease) in Loss Reserves:
Casualty$230 $262 
Other specialty176 124 
Property excluding property catastrophe51 126 
Property catastrophe40 65 
Marine and aviation17 31 
Other

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REINSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Casualty
(10) points
(6) months
Other specialty(5)(3)
Property excluding property catastrophe(5)(3)
Property catastrophe(5)(3)
Marine and aviation(5)(3)
Other(5)(3)
Increase (decrease) in Loss Reserves:
Casualty$(230)$(201)
Other specialty(176)(174)
Property excluding property catastrophe(51)(125)
Property catastrophe(40)(40)
Marine and aviation(17)(32)
Other(8)(6)
It is not necessarily appropriate to sum the total impact for a specific factor or the total impact for a specific business category as the business categories are not perfectly correlated. In addition, the potential variability shown in the tables above are reasonably likely scenarios of changes in our key assumptions at December 31, 2023 and are not meant to be a “best case” or “worst case” series of outcomes and therefore, it is possible that future variations may be more or less than the amounts set forth above.
For our mortgage segment, we considered the sensitivity of loss reserve estimates at December 31, 2023 by assessing the potential changes resulting from a parallel shift in severity and default to claim rate. For example, assuming all other factors remain constant, for every one percentage point change in primary claim severity (which we estimate to be approximately 29% of the unpaid principal balance at December 31, 2023), we estimated that our loss reserves would change by approximately $17 million at December 31, 2023. For every one percentage point change in our primary net default to claim rate (which we estimate to be approximately 27% at December 31, 2023), we estimated a $18 million change in our loss reserves at December 31, 2023.
Simulation Results
In order to illustrate the potential volatility in our Loss Reserves, we used a Monte Carlo simulation approach to simulate a range of results based on various probabilities. Both the probabilities and related modeling are subject to inherent uncertainties. The simulation relies on a significant number of assumptions, such as the potential for multiple entities to react similarly to external events, and includes other statistical assumptions. The simulation results shown for each segment do not add to the total simulation results, as the individual segment simulation results do not reflect the diversification effects across our segments.
At December 31, 2023, our recorded Loss Reserves by underwriting segment, net of unpaid losses and loss adjustment expenses recoverable, and the results of the simulation were as follows:
Insurance SegmentReinsurance SegmentMortgage SegmentTotal
Loss
Reserves (1)
$8,356 $7,191 $515 $16,062 
Simulation results:
90th percentile (2)$9,826 $8,782 $616 $18,815 
10th percentile (3)$6,918 $5,732 $420 $13,429 
(1)    Net of reinsurance recoverables.
(2)    Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.
(3)    Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.

For informational purposes, based on the total simulation results, a change in our Loss Reserves to the amount indicated at the 90th percentile would result in a decrease in income before income taxes of approximately $2.8 billion, or $7.27 per diluted share, while a change in our Loss Reserves to the amount indicated at the 10th percentile would result in an increase in income before income taxes of approximately $2.6 billion, or $6.95 per diluted share. The simulation results noted above are informational only, and no assurance can be given that our ultimate losses will not be significantly different than the simulation results shown above, and such differences could directly and significantly impact earnings favorably or unfavorably in the period they are determined. We do not have significant exposure to pre-2002 liabilities, such as asbestos-related illnesses and other long-tail liabilities. It is difficult to provide meaningful trend information for certain liability/casualty coverages for which the claim-tail may be especially long, as claims are often reported and ultimately paid or settled years, or even decades, after the related loss events occur. Any estimates and

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assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2023. Accordingly, the reserving for incurred losses in these lines of business could be subject to greater variability. See Item 1A, “Risk Factors – Risks Relating to Our Industry, Business & Operations – Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.”
Mortgage Operations Supplemental Information
The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at December 31, 2023 and 2022:
December 31,
20232022
Amount%Amount%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance$290,764 57.1 $295,651 57.6 
U.S. credit risk transfer
(CRT) and other
149,098 29.3 145,087 28.3 
International mortgage
insurance/reinsurance
69,473 13.6 72,315 14.1 
Total$509,335 100.0 $513,053 100.0 
Risk In Force (RIF) (2):
U.S. primary mortgage insurance$75,527 84.6 $75,806 84.8 
U.S. credit risk transfer
(CRT) and other
6,156 6.9 6,245 7.0 
International mortgage
insurance/reinsurance
7,562 8.5 7,369 8.2 
Total$89,245 100.0 $89,420 100.0 
(1)    Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance. Such amounts are shown before external reinsurance.
(2)    The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for risk-sharing or reinsurance transactions. Such amounts are shown before external reinsurance.

The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2023:
IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2013 and prior$10,859 3.7 $2,738 3.6 6.55 %
20142,442 0.8 649 0.9 2.89 %
20154,691 1.6 1,244 1.6 1.98 %
20167,525 2.6 2,025 2.7 2.50 %
20177,600 2.6 2,023 2.7 3.13 %
20188,512 2.9 2,207 2.9 4.04 %
201915,767 5.4 4,074 5.4 2.40 %
202051,349 17.7 13,357 17.7 1.17 %
202176,667 26.4 19,812 26.2 1.12 %
202263,899 22.0 16,755 22.2 0.89 %
202341,453 14.3 10,643 14.1 0.26 %
Total$290,764 100.0 $75,527 100.0 1.74 %
(1)Represents the ending percentage of loans in default.
The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2022:
IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2013 and prior$12,931 4.4 $3,222 4.3 7.07 %
20143,696 1.3 1,012 1.3 2.61 %
20156,236 2.1 1,680 2.2 2.08 %
201610,225 3.5 2,744 3.6 2.66 %
20179,508 3.2 2,521 3.3 3.06 %
201810,260 3.5 2,625 3.5 4.11 %
201919,096 6.5 4,840 6.4 2.36 %
202065,141 22.0 16,414 21.7 1.20 %
202189,621 30.3 22,740 30.0 0.95 %
202268,937 23.3 18,008 23.8 0.20 %
Total$295,651 100.0 $75,806 100.0 1.77 %
(1)Represents the ending percentage of loans in default.


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The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at December 31, 2023 and 2022:
December 31,
20232022
Amount%Amount%
Credit quality (FICO):
>=740$46,796 62.0 $46,812 61.8 
680-73924,990 33.1 24,945 32.9 
620-6793,497 4.6 3,772 5.0 
<620244 0.3 277 0.4 
Total$75,527 100.0 $75,806 100.0 
Weighted average FICO score748 750 
Loan-to-Value (LTV):
95.01% and above$7,067 9.4 $7,289 9.6 
90.01% to 95.00%44,669 59.1 43,681 57.6 
85.01% to 90.00%20,490 27.1 20,851 27.5 
85.00% and below3,301 4.4 3,985 5.3 
Total$75,527 100.0 $75,806 100.0 
Weighted average LTV93.0 %92.8 %
Total RIF, net of external reinsurance$58,146 $57,151 
December 31,
20232022
Amount%Amount%
Total RIF by State:
California$6,162 8.2 $6,341 8.4 
Texas5,972 7.9 6,151 8.1 
North Carolina3,248 4.3 3,160 4.2 
Georgia3,081 4.1 3,169 4.2 
Minnesota3,069 4.1 3,003 4.0 
Florida3,007 4.0 3,268 4.3 
Illinois2,986 4.0 3,081 4.1 
Massachusetts2,858 3.8 2,809 3.7 
Michigan2,773 3.7 2,618 3.5 
Virginia2,578 3.4 2,656 3.5 
Others39,793 52.7 39,550 52.2 
Total$75,527 100.0 $75,806 100.0 
The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics for the years ended December 31, 2023 and 2022:
(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
20232022
Rollforward of insured loans in default:
Beginning delinquent number of loans20,567 27,645 
New notices39,496 36,396 
Cures(39,704)(42,789)
Paid claims(902)(685)
Ending delinquent number of loans (1)19,457 20,567 
Ending number of policies in force (1)1,117,480 1,160,219 
Delinquency rate (1)1.74 %1.77 %
Losses:
Number of claims paid902 685 
Total paid claims$26,903 $21,412 
Average per claim $29.8 $31.3 
Severity (2)70.8 %73.2 %
Average reserve per default (in thousands) (1)$17.7 $21.1 
(1)    Includes first lien primary and pool policies.
(2)    Represents total paid claims divided by RIF of loans for which claims were paid.

The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 7.3 to 1 at December 31, 2023, compared to 7.2 to 1 at December 31, 2022.
Ceded Reinsurance
In the normal course of business, our insurance and mortgage insurance operations cede a portion of their premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Our reinsurance operations also obtain reinsurance whereby another reinsurer contractually agrees to indemnify it for all or a portion of the reinsurance risks underwritten by our reinsurance operations. Such arrangements, where one reinsurer provides reinsurance to another reinsurer, are usually referred to as “retrocessional reinsurance” arrangements. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance operations, and the ceding company. Estimating reinsurance recoverables can be more subjective than estimating the underlying reserves for losses and loss adjustment expenses as discussed above in “—Loss Reserves.” In particular, reinsurance recoverables may be affected by deemed inuring reinsurance, industry losses

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reported by various statistical reporting services, and other factors. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance or reinsurance operations would be liable for such defaulted amounts.
The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control. Although we believe that our insurance and reinsurance operations have been successful in obtaining adequate reinsurance and retrocessional protection, it is not certain that they will be able to continue to obtain adequate protection at cost effective levels. As a result of such market conditions and other factors, our insurance, reinsurance and mortgage operations may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements and may lead to increased volatility in our results of operations in future periods. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
For purposes of managing risk, we reinsure a portion of our exposures, paying to reinsurers a part of the premiums received on the policies we write, and we may also use retrocessional protection. On a consolidated basis, ceded premiums written represented 26.8% of gross premiums written for 2023, compared to 27.7% for 2022. We monitor the financial condition of our reinsurers and attempt to place coverages only with substantial, financially sound carriers. If the financial condition of our reinsurers or retrocessionaires deteriorates, resulting in an impairment of their ability to make payments, we will be responsible for probable losses resulting from our inability to collect amounts due from such parties, as appropriate. We evaluate the credit worthiness of all the reinsurers to which we cede business. We report reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon our ongoing review of amounts outstanding, the financial condition of our reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations—We are exposed to credit risk in certain of our business operations” and “Financial Condition, Liquidity and Capital Resources” for further details.
We have entered into various aggregate excess of loss reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda. These are special purpose variable interest entities that are not consolidated in our financial results because we do not have
the unilateral power to direct those activities that are significant to its economic performance. See note 12, “Variable Interest Entity and Noncontrolling Interests,” to our consolidated financial statements in Item 8 for additional information.
Premium Revenues and Related Expenses
Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in our insurance operations’ programs, specialty lines, collateral protection business and for participation in involuntary pools. Such premium estimates are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.
Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by our own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of our experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to us. On an ongoing basis, our underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account our historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which we assume business generally contain specific provisions which allow us to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined. Premiums written are recorded based on the type of contracts we write. Premiums on our excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally,

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only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.
Reinstatement premiums for our insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment, as described above in “—Loss Reserves.”
The amount of reinsurance premium estimates included in premiums receivable and the amount of related acquisition expenses by type of business were as follows at December 31, 2023:
December 31, 2023
Gross AmountAcquisition ExpensesNet
Amount
Other specialty
$1,510 $(450)$1,060 
Property excluding property catastrophe
626 (205)421 
Casualty
463 (146)317 
Marine and aviation
213 (44)169 
Property catastrophe
14 (1)13 
Other
65 (5)60 
Total
$2,891 $(851)$2,040 
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned.
A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts. Based on currently available information, we report premiums receivable net of an allowance for expected credit loss. We monitor credit risk associated with premiums receivable through our ongoing review of amounts outstanding, aging of the receivable, historical data and counterparty financial strength measures.
Reinsurance premiums assumed, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period.
Certain of our reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.
Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, we bifurcate the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.
Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, we are not able to re-underwrite or re-price our policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage insurance premiums written on policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled for any reason and the policy is a non-refundable product, the remaining unearned

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premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.
Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.
Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, we estimate the rate of amortization to reflect actual experience and any changes to persistency or loss development.
Acquisition expenses and other expenses related to our underwriting operations that vary with, and are directly related to, the successful acquisition or renewal of business are deferred and amortized based on the type of contract. Our insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For our mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.
A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs and maintenance costs and anticipated investment income exceed unearned premiums. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.
To assess the need for a PDR on our mortgage exposures, we develop loss projections based on modeled loan defaults related to our current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected profitability of our existing mortgage insurance business and the need for a PDR for our mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. The models, assumptions and estimates we use to evaluate the need for a PDR may prove to be inaccurate, especially during an extended economic downturn or a period of extreme market volatility and uncertainty.
No premium deficiency charges were recorded by us during 2023 or 2022.
Net Deferred Income Tax Assets Measurement
On December 27, 2023 the Bermuda government enacted tax legislation referred to as the Corporate Income Tax Act 2023 (“Bermuda CIT Act”). The Bermuda CIT Act establishes a 15% corporate income tax, for in-scope businesses, for fiscal years beginning on or after January 1, 2025. The enacted legislation includes a provision referred to as the Economic Transition Adjustment, which requires Bermuda Constituent entities to establish tax basis in their assets and liabilities, excluding goodwill, based on fair value as of September 30, 2023. Fair value is defined as the price that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date.
Using fair value to establish tax basis in the assets and liabilities of our Bermuda entities results in deductible and taxable temporary differences which are reflected as deferred income tax assets and liabilities, respectively, in our financial statements. The enactment of Bermuda CIT Act resulted in the establishment of a $1.18 billion net deferred income tax asset. Such amount is included in “Other assets” on the Company’s balance sheet.
The most significant deferred income tax assets recognized relate to the fair value adjustments for identifiable intangible assets. We estimated the fair value of the identifiable intangible assets of our Bermuda entities using discounted cash flow (“DCF”) models. The significant assumptions utilized in the DCF models included the future revenue and profits expected to be generated by the identifiable intangible assets and the discount rates. See note 15, “Income Taxes” to our consolidated financial statements in Item 8 for disclosures concerning our Company’s deferred income tax asset.

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Fair Value Measurements
We review our securities measured at fair value and discuss the proper classification of such investments with investment advisors and others. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2023 by valuation hierarchy.
Reclassifications
We have reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on our net income, shareholders’ equity or cash flows.
Significant Accounting Pronouncements
For all other significant accounting policies see note 3, “Significant Accounting Policies” and note 3(t), “Recent Accounting Pronouncements” to our consolidated financial statements in Item 8 for disclosures concerning our companies significant accounting policies and recent accounting pronouncements.
FINANCIAL CONDITION
Investable Assets
At December 31, 2023, total investable assets held by Arch were $34.6 billion.
Investable Assets Held by Arch 
The Finance, Investment and Risk Committee (“FIR Committee”) of our Board of Directors (the “Board”) establishes our investment policies and sets the parameters for creating guidelines for our investment managers. The FIR reviews the implementation of the investment strategy on a regular basis. Our current approach stresses preservation of capital, market liquidity and diversification of risk. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to become more diversified and, as a result, we may expand into areas which are not currently part of our investment strategy. Our Chief Investment Officer administers the investment portfolio, oversees our investment managers and formulates investment strategy in conjunction with the FIR Committee. At December 31, 2023, approximately $21.9 billion, or 63%, of
total investable assets held by Arch were internally managed, compared to $18.8 billion, or 67%, at December 31, 2022.
The following table summarizes the fair value of investable assets held by Arch:
December 31,
20232022
Average effective duration (in years)2.91 2.89 
Average S&P/Moody’s credit ratings (1)AA-/Aa3AA-/Aa3
(1)Average credit ratings on our investment portfolio on securities with ratings by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).
The following table provides the credit quality distribution of our Fixed Maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.
Estimated Fair Value% of
Total
December 31, 2023
U.S. government and gov’t agencies (1)$6,493 26.8 
AAA4,305 17.8 
AA2,165 8.9 
A4,629 19.1 
BBB5,058 20.9 
BB698 2.9 
B389 1.6 
Lower than B15 0.1 
Not rated484 2.0 
Total$24,236 100.0 
December 31, 2022
U.S. government and gov’t agencies (1)$5,831 28.8 
AAA3,617 17.9 
AA2,214 10.9 
A3,993 19.7 
BBB3,324 16.4 
BB560 2.8 
B377 1.9 
Lower than B12 0.1 
Not rated309 1.5 
Total$20,237 100.0 
(1)Includes U.S. government-sponsored agency residential mortgage backed securities and agency commercial mortgage backed securities.

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The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturities which were in an unrealized loss position:
Severity of gross unrealized losses:Estimated Fair ValueGross
Unrealized
Losses
% of
Total Gross
Unrealized
Losses
December 31, 2023
0-10%$10,696 $(410)49.7 
10-20%2,282 (367)44.5 
20-30%116 (35)4.2 
Greater than 30%26 (13)1.6 
Total$13,120 $(825)100.0 
December 31, 2022
0-10%$12,343 $(580)35.2 
10-20%5,331 (844)51.2 
20-30%692 (199)12.1 
Greater than 30%44 (24)1.5 
Total$18,410 $(1,647)100.0 
The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at December 31, 2023, excluding guaranteed amounts and covered bonds:
 Estimated Fair ValueCredit
Rating (1)
Bank of America Corporation$383 A-/A1
JPMorgan Chase & Co.361 A-/A1
Morgan Stanley338 A-/A1
The Goldman Sachs Group, Inc.230 BBB+/A2
Citigroup Inc.229 BBB+/A3
Wells Fargo & Company171 BBB+/A1
Blue Owl Capital Inc.165 BBB-/Baa3
Roche Holding AG147 AA/Aa2
Blackstone Inc.138 BBB/Baa3
UBS Group AG128 A/A2
Total$2,290 
(1)Average credit ratings as assigned by S&P and Moody’s, respectively.
The following table provides information on our structured securities, which include residential mortgage-backed securities (“RMBS”), commercial mortgage-backed securities (“CMBS”) and asset backed securities (“ABS”):
AgenciesInvestment GradeBelow Investment GradeTotal
Dec. 31, 2023
RMBS$658 $445 $— $1,103 
CMBS1,126 80 1,213 
ABS— 2,143 107 2,250 
Total$665 $3,714 $187 $4,566 
Dec. 31, 2022
RMBS$645 $134 $16 $795 
CMBS18 947 82 1,047 
ABS— 1,788 141 1,929 
Total$663 $2,869 $239 $3,771 
The following table summarizes our equity securities, which include investments in exchange traded funds:
December 31,
20232022
Equities (1)$739 $570 
Exchange traded funds
Fixed income (2)285 272 
Equity and other (3)169 32 
Total$1,193 $874 
(1)Primarily in technology, consumer non-cyclical, communications, financial and industrials at December 31, 2023.
(2)Primarily in corporate at December 31, 2023.
(3)Primarily in large cap stocks, foreign equities, healthcare, technology and consumer discretionary at December 31, 2023.
Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.
Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2023 and 2022 segregated by level in the fair value hierarchy.

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Reinsurance Recoverables
The following table details our reinsurance recoverables at December 31, 2023:
% of TotalA.M. Best
Rating (1)
Somers Re (2)18.6 A-
Hannover Rück SE
4.7 A+
Lloyd’s syndicates (3)
4.3 A
Munich Reinsurance America, Inc.
3.3 A+
Swiss Reinsurance America Corporation
3.1 A+
Everest Reinsurance Company
2.9 A+
Partner Reinsurance Company of the U.S.2.5 A+
Fortitude Reinsurance Company Ltd.2.4 A
RenaissanceRe Holdings Ltd.2.0 A+
AXA XL
2.0 A+
All other -- “A-” or better
21.0 
All other -- rated carriers
0.1 
All other -- not rated (4)
33.1 
Total
100.0 
(1)    The financial strength ratings are as of January 5, 2024 and were assigned by A.M. Best based on its opinion of the insurer’s financial strength as of such date. An explanation of the ratings listed in the table follows: the rating of “A+” is designated “Superior”; and the “A” and “A-” ratings are designated “Excellent.”
(3)    The A.M. Best group rating of “A” (Excellent) has been applied to all Lloyd’s syndicates.
(4)    Over 95% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.

See note 8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.
Reserves for Losses and Loss Adjustment Expenses
We establish Loss Reserves which represent estimates involving actuarial and statistical projections, at a given point in time, of our expectations of the ultimate settlement and administration costs of losses incurred. Estimating Loss Reserves is inherently difficult. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of Loss Reserves. Actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Estimates—Loss Reserves” and see Item 1, “Business—Reserves” for further details.
Shareholders’ Equity and Book Value per Share
Total shareholders’ equity available to Arch was $18.4 billion at December 31, 2023, compared to $12.9 billion at December 31, 2022. The 2023 period primarily reflected strong underwriting and investment returns along with the establishment of a net deferred income tax asset of $1.18 billion, or $3.16 per share, related to the enactment of Bermuda’s new corporate income tax.
The following table presents the calculation of book value per share:
(U.S. dollars in millions, except per share data)December 31,
20232022
Total shareholders’ equity available to Arch$18,353 $12,910 
Less preferred shareholders’ equity830 830 
Common shareholders’ equity available to Arch$17,523 $12,080 
Common shares and common share equivalents outstanding, net of treasury shares (1)373.3370.3
Book value per share$46.94 $32.62 
(1)    Excludes the effects of 12.5 million and 14.4 million stock options and 0.4 million and 0.6 million restricted stock and performance units outstanding at December 31, 2023 and 2022, respectively.
LIQUIDITY
Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations.
Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares.
In 2023, Arch Capital received dividends of $164 million from Arch Reinsurance Ltd. (“Arch Re Bermuda”), our Bermuda-based reinsurer and insurer. Arch Re Bermuda can pay approximately $4.8 billion to Arch Capital in 2024 without providing an affidavit to the Bermuda Monetary Authority (“BMA”).
Our insurance and reinsurance operations provide liquidity in that premiums are received in advance, sometimes substantially in advance, of the time losses are paid. The period of time from the occurrence of a claim through the settlement of the liability may extend many years into the future. Sources of liquidity include cash flows from

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operations, financing arrangements or routine sales of investments.

As part of our investment strategy, we seek to establish a level of cash and highly liquid short-term and intermediate-term securities which, combined with expected cash flow, is believed by us to be adequate to meet our foreseeable payment obligations. However, due to the nature of our operations, cash flows are affected by claim payments that may comprise large payments on a limited number of claims and which can fluctuate from year to year. We believe that our liquid investments and cash flow will provide us with sufficient liquidity in order to meet our claim payment obligations. However, the timing and amounts of actual claim payments related to recorded Loss Reserves vary based on many factors, including large individual losses, changes in the legal environment, as well as general market conditions. The ultimate amount of the claim payments could differ materially from our estimated amounts. Certain lines of business written by us, such as excess casualty, have loss experience characterized as low frequency and high severity. The foregoing may result in significant variability in loss payment patterns. The impact of this variability can be exacerbated by the fact that the timing of the receipt of reinsurance recoverables owed to us may be slower than anticipated by us. Therefore, the irregular timing of claim payments can create significant variations in cash flows from operations between periods and may require us to utilize other sources of liquidity to make these payments, which may include the sale of investments or utilization of existing or new credit facilities or capital market transactions. If the source of liquidity is the sale of investments, we may be forced to sell such investments at a loss, which may be material.
We expect that our liquidity needs, including our anticipated insurance obligations and operating and capital expenditure needs, will be met by funds generated from underwriting activities and investment income, as well as by our balance of cash, short-term investments, proceeds on the sale or maturity of our investments, and our credit facilities, for the next twelve months, at a minimum.
Dividend Restrictions 
Arch Capital has no material restrictions on its ability to make distributions to shareholders. However, the ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions or other payments to us is limited by the applicable local laws and relevant regulations of the various countries and states in which we operate. See note 25, “Statutory Information,” to our consolidated financial statements in Item 8 for additional information on dividend restrictions.
The payment of dividends from Arch Re Bermuda is, under certain circumstances, limited under Bermuda law, which requires our Bermuda operating subsidiary to maintain certain measures of solvency and liquidity.
Our U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of our regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities. Each state requires prior regulatory approval of any payment of extraordinary dividends.
We also have insurance subsidiaries that are the parent company for other insurance subsidiaries, which means that dividends and other distributions will be subject to multiple layers of regulations in order for our insurance subsidiaries to be able to dividend funds to Arch Capital. The inability of the subsidiaries of Arch Capital to pay dividends and other permitted distributions could have a material adverse effect on Arch Capital’s cash requirements and our ability to make principal, interest and dividend payments on the senior notes, preferred shares and common shares.
In addition to meeting applicable regulatory standards, the ability of our insurance and reinsurance subsidiaries to pay dividends is also constrained by our dependence on the financial strength ratings of our insurance and reinsurance subsidiaries from independent rating agencies. The ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries. We believe that Arch Capital has sufficient cash resources and available dividend capacity to service its indebtedness and other current outstanding obligations.
Restricted Assets 
Our insurance, reinsurance and mortgage insurance subsidiaries are required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support their operations. The assets on deposit are available to settle insurance and reinsurance liabilities to third parties. Our insurance and reinsurance subsidiaries maintain assets in trust accounts as collateral for insurance and reinsurance transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. At December 31, 2023 and 2022, such amounts approximated $9.9 billion and $8.7 billion, respectively.
Our investments in certain securities, including certain fixed income and structured securities, investments in funds

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accounted for using the equity method, other alternative investments and investments in operating affiliates may be illiquid due to contractual provisions or investment market conditions. If we require significant amounts of cash on short notice in excess of anticipated cash requirements, then we may have difficulty selling these investments in a timely manner or may be forced to sell or terminate them at unfavorable values. Our unfunded investment commitments totaled approximately $3.6 billion at December 31, 2023 and are callable by our investment managers. The timing of the funding of investment commitments is uncertain and may require us to access cash on short notice.
Cash Flows 
The following table summarizes our cash flows from operating, investing and financing activities:
Year Ended December 31,
20232022
Total cash provided by (used for):
Operating activities$5,749 $3,816 
Investing activities(5,468)(3,101)
Financing activities(69)(706)
Effects of exchange rate changes on foreign currency cash13 (50)
Increase (decrease) in cash$225 $(41)
Cash provided by operating activities for the 2023 period was higher than in the 2022 period. Activity for the 2023 period primarily reflected a higher level of premiums collected than in the 2022 period.
Cash used for investing activities for the 2023 period reflected higher net purchases than in the 2022 period, primarily reflecting the strong operating cash flows in 2023.
Cash used for financing activities for the 2023 period was lower than in the 2022 period. Activity for the 2022 period included $586 million of share repurchases.
Investments 
At December 31, 2023, our investable assets were $34.6 billion. The primary goals of our asset liability management process are to meet our insurance liabilities, manage the interest rate risk embedded in those insurance liabilities and maintain sufficient liquidity to cover fluctuations in projected liability cash flows, including debt service obligations. Generally, the expected principal and interest payments produced by our fixed income portfolio adequately fund the estimated runoff of our insurance reserves. Although this is not an exact cash flow match in each period, the substantial degree by which the fair value of the fixed income portfolio exceeds the expected present value of the net insurance liabilities, as well as the positive cash flow from newly sold policies and the large amount of high quality liquid bonds, provide assurance of our ability to fund the payment of claims and to service our outstanding debt without having to sell securities at distressed prices or access credit facilities. See Item 1A “Risk Factors” for a discussion of other risks relating to our business and investment portfolio.
CAPITAL RESOURCES
The following table provides an analysis of our capital structure:
December 31,
20232022
Senior notes$2,726 $2,725 
Shareholders’ equity available to Arch:
Series F non-cumulative preferred shares330 330 
Series G non-cumulative preferred shares500 500 
Common shareholders’ equity17,523 12,080 
Total$18,353 $12,910 
Total capital available to Arch$21,079 $15,635 
Senior notes to total capital (%)12.9 17.4 
Revolving credit agreement borrowings to total capital (%)— — 
Debt to total capital (%)12.9 17.4 
Preferred to total capital (%)3.9 5.3 
Debt and preferred to total capital (%)16.9 22.7 
See note 19, “Debt and Financing Arrangements" and note 21, “Shareholders' Equity”, to our consolidated financial statements in Item 8 for additional information on capital structure.

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Capital Adequacy
We monitor our capital adequacy on a regular basis and will seek to adjust our capital base (up or down) according to the needs of our business. The future capital requirements of our business will depend on many factors, including our ability to write new business successfully and to establish premium rates and reserves at levels sufficient to cover losses. Our ability to underwrite is largely dependent upon the quality of our claims paying and financial strength ratings as evaluated by independent rating agencies. In particular, we require (1) sufficient capital to maintain our financial strength ratings, as issued by several ratings agencies, at a level considered necessary by management to enable our key operating subsidiaries to compete; (2) sufficient capital to enable our underwriting subsidiaries to meet the capital adequacy tests performed by statutory agencies in the U.S. and other key markets; and (3) our non-U.S. operating companies are required to post letters of credit and other forms of collateral that are necessary for them to operate as they are “non-admitted” under U.S. state insurance regulations.
In addition, AMIC and UGRIC (together, “Arch MI U.S.”) are required to maintain compliance with the GSE requirements, known as PMIERs. The financial requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value and original credit score of performing loans, and the delinquency status of non-performing loans) and are subject to a minimum amount. Arch MI U.S. satisfied the PMIERs’ financial requirements as of December 31, 2023 with a PMIER sufficiency ratio of 213%, compared to 236% at December 31, 2022.
As part of our capital management program, we may seek to raise additional capital or may seek to return capital to our shareholders through share repurchases, cash dividends or other methods (or a combination of such methods). Any such determination will be at the discretion of the Board and will be dependent upon our profits, financial requirements and other factors, including legal restrictions, rating agency requirements and such other factors as our Board deems relevant.
To the extent that our existing capital is insufficient to fund our future operating requirements or maintain such ratings, we may need to raise additional funds through financings or limit our growth. We can provide no assurance that, if needed, we would be able to obtain additional funds through financing on satisfactory terms or at all. Any adverse developments in the financial markets, such as disruptions, uncertainty or volatility in the capital and credit markets, may result in realized and unrealized capital losses that could have
a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. In addition to common share capital, we depend on external sources of finance to support our underwriting activities, which can be in the form (or any combination) of debt securities, preference shares, common equity and bank credit facilities providing loans and/or letters of credit.
Arch Capital, through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates, through certain reinsurance arrangements beneficial to the ratings of such subsidiaries. Historically, our insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business.
Except as described in the above paragraph, or where express reinsurance, guarantee or other financial support contractual arrangements are in place, each of Arch Capital’s subsidiaries or affiliates is solely responsible for its own liabilities and commitments (and no other Arch Capital subsidiary or affiliate is so responsible). Any reinsurance arrangements, guarantees or other financial support contractual arrangements that are in place are solely for the benefit of the Arch Capital subsidiary or affiliate involved and third parties (creditors or insureds of such entity) are not express beneficiaries of such arrangements.
Share Repurchase Program 
Our Board has authorized the investment in Arch Capital’s common shares through a share repurchase program. Since the inception of the share repurchase program through December 31, 2023, Arch Capital has repurchased approximately 433.6 million common shares for an aggregate purchase price of $5.9 billion. At December 31, 2023, $1.0 billion of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through December 31, 2024. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions, the development of the economy, corporate and regulatory considerations. We will continue to monitor our share price and, depending upon results of operations, market conditions and the development of the economy, as well as other factors, we will consider share repurchases on an opportunistic basis.


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GUARANTOR INFORMATION
The below table provides a description of our senior notes payable at December 31, 2023:
Interest
Principal
Carrying
Issuer/Due
(Fixed)
Amount
Amount
Arch Capital:
May 1, 2034
7.350 %$300 $298 
June 30, 2050
3.635 %1,000989
Arch-U.S.:
Nov. 1, 2043 (1)
5.144 %500495
Arch Finance:
Dec. 15, 2026 (1)
4.011 %500498
Dec. 15, 2046 (1)
5.031 %450446
Total
$2,750 $2,726 
(1) Fully and unconditionally guaranteed by Arch Capital.
Our senior notes were issued by Arch Capital, Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) and Arch Capital Finance LLC (“Arch Finance”). Arch-U.S. is a wholly-owned subsidiary of Arch Capital and Arch Finance is a wholly-owned finance subsidiary of Arch-U.S. Our 2034 senior notes and 2050 senior notes issued by Arch Capital are unsecured and unsubordinated obligations of Arch Capital and ranked equally with all of its existing and future unsecured and unsubordinated indebtedness. The 2043 senior notes issued by Arch-U.S. are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital. The 2026 senior notes and 2046 senior notes issued by Arch Finance are unsecured and unsubordinated obligations of Arch Finance and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital.
Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially all of their operations through their operating subsidiaries. Arch Finance is a wholly owned subsidiary of Arch U.S. MI Holdings Inc., a U.S. holding company. As a result, Arch Capital, Arch-U.S. and Arch Finance's cash flows and their ability to service their debt depends upon the earnings of their operating subsidiaries and on their ability to distribute the earnings, loans or other payments from such subsidiaries to Arch Capital, Arch-U.S. and Arch Finance, respectively.
During 2023 and 2022, we made interest payments of $127 million and $128 million, respectively, related to our senior notes and other financing arrangements. See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings. For additional information on our preferred shares, see note 21,
“Shareholders’ Equity,” to our consolidated financial statements in Item 8.
The following tables present condensed financial information for Arch Capital (parent guarantor) and Arch-U.S. (subsidiary issuer):
December 31, 2023December 31, 2022
Arch CapitalArch-U.S.Arch CapitalArch-U.S.
Assets
Total investments$17 $145 $$79 
Cash11 10 
Investment in operating affiliates— — 
Due from subsidiaries and affiliates— — — 
Other assets58 56 18 30 
Total assets$88 $206 $43 $119 
Liabilities
Senior notes1,287 495 1,287 495 
Due to subsidiaries and affiliates— 993 — 991 
Other liabilities38 42 37 37 
Total liabilities1,325 1,530 1,324 1,523 
Non-cumulative preferred shares$830 $— $830 $— 
December 31, 2023December 31, 2022
 Year EndedArch CapitalArch-U.S.Arch CapitalArch-U.S.
Revenues
Net investment income$$$$
Equity in net income (loss) of investments accounted for using the equity method— (2)— 10 
Total revenues11 
Expenses
Corporate expenses93 86 13 
Interest expense59 26 59 26 
Interest expense (intercompany)— 51 — 22 
Net foreign exchange (gains) losses— — — — 
Total expenses152 86 145 61 
Income (loss) before income taxes(150)(84)(143)(50)
Income tax (expense) benefit41 19 — 10 
Income (loss) from operating affiliates(1)— (1)— 
Net income available to Arch(110)(65)(144)(40)
Preferred dividends(40)— (40)— 
Net income available to Arch common shareholders$(150)$(65)$(184)$(40)

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CONTRACTUAL OBLIGATIONS AND COMMITMENTS
Contractual Obligations
The following table provides an analysis of our contractual commitments at December 31, 2023:
Payment due by period
Total
2024
2025 and 2026
2027 and 2028
Thereafter
Operating activities
Estimated gross payments for losses and loss adjustment expenses (1)$22,752 $6,523 $7,197 $3,479 $5,553 
Contractholder payables (2)1,817 208 363 274 972 
Operating lease obligations220 34 58 49 79 
Purchase obligations148 69 57 22 — 
Contingent and deferred consideration liabilities23 
Investing activities
Unfunded investment commitments (3)3,587 3,587 — — — 
Financing activities
Senior notes (including interest payments)5,041 127 754 214 3,946 
Total contractual obligations and commitments$33,588 $10,555 $8,437 $4,042 $10,554 
(1)The estimated expected contractual commitments related to the reserves for losses and loss adjustment expenses are presented on a gross basis (i.e., not reflecting any corresponding reinsurance recoverable amounts that would be due to us). It should be noted that until a claim has been presented to us, determined to be valid, quantified and settled, there is no known obligation on an individual transaction basis, and while estimable in the aggregate, the timing and amount contain significant uncertainty.
(2)Certain insurance policies written by our insurance operations feature large deductibles, primarily in construction and national accounts lines. Under such contracts, we are obligated to pay the claimant for the full amount of the claim and are subsequently reimbursed by the policyholder for the deductible amount. In the event we are unable to collect from the policyholder, we would be liable for such defaulted amounts.
(3)Unfunded investment commitments are callable by our investment managers. We have assumed that such investments will be funded in the next year but the funding may occur over a longer period of time, due to market conditions and other factors.
Letter of Credit and Revolving Credit Facilities
In the normal course of its operations, the Company enters into agreements with financial institutions to obtain secured and unsecured credit facilities. On August 23, 2023, Arch Capital and certain of its subsidiaries amended the existing credit agreement (the “Credit Facility”). The Credit Facility, as amended, consists of a $425 million secured facility for letters of credit (the “Secured Facility”) and a $500 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). At December 31, 2023, the Secured Facility had $273 million of letters of credit outstanding and remaining capacity of $152 million, and the Unsecured Facility had no outstanding revolving loans or letters of credit, with remaining capacity of $500 million.
The Credit Facility contains certain restrictive covenants customary for facilities of this type, including restrictions on indebtedness, consolidated tangible net worth, minimum shareholders’ equity levels and minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the agreement were in compliance with all covenants contained therein at December 31, 2023.
The commitments under the Credit Facility will expire on August 23, 2028, and all loans then outstanding under the Credit Facility must be repaid at such time. Letters of credit issued under the Credit Facility will not have an expiration date later than August 23, 2029.
See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings.


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RATINGS
Our ability to underwrite business is affected by the quality of our claims paying ability and financial strength ratings as evaluated by independent agencies. Such ratings from third party internationally recognized statistical rating organizations or agencies are instrumental in establishing the financial security of companies in our industry. We believe that the primary users of such ratings include commercial and investment banks, policyholders, brokers, ceding companies and investors. Insurance ratings are also used by insurance and reinsurance intermediaries as an important means of assessing the financial strength and quality of insurers and reinsurers, and are often an important factor in the decision by an insured or intermediary of whether to place business with a particular insurance or reinsurance provider. Periodically, rating agencies evaluate us to confirm that we continue to meet their criteria for the ratings assigned to us by them. S&P, Moody’s, A.M. Best Company and Fitch Ratings are ratings agencies which have assigned financial strength ratings to one or more of Arch Capital’s subsidiaries.
If we are not able to obtain adequate capital, our business, results of operations and financial condition could be adversely affected, which could include, among other things, the following possible outcomes: (1) potential downgrades in the financial strength ratings assigned by ratings agencies to our operating subsidiaries, which could place those operating subsidiaries at a competitive disadvantage compared to higher-rated competitors; (2) reductions in the amount of business that our operating subsidiaries are able to write in order to meet capital adequacy-based tests enforced by statutory agencies; and (3) any resultant ratings downgrades could, among other things, affect our ability to write business and increase the cost of bank credit and letters of credit. In addition, under certain of the reinsurance agreements assumed by our reinsurance operations, upon the occurrence of a ratings downgrade or other specified triggering event with respect to our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, our ceding company clients may be provided with certain rights, including, among other things, the right to terminate the subject reinsurance agreement and/or to require that our reinsurance operations post additional collateral.
The ratings issued on our companies by these agencies are announced publicly and are available directly from the agencies. Our website www.archgroup.com (Investor Relations-Credit Ratings) contains information about our ratings, but such information on our website is not incorporated by reference into this report.
CATASTROPHIC EVENTS AND SEVERE ECONOMIC EVENTS
We have large aggregate exposures to natural and man-made catastrophic events, pandemic events like COVID-19 and severe economic events. Natural catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers’ compensation or general liability. In addition to the nature of property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration, tend to generally increase the size of losses from catastrophic events over time.
We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, acts of terrorism and political instability. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or estimate the amount of loss any given occurrence will generate. It is not possible to completely eliminate our exposure to unforecasted or unpredictable events and, to the extent that losses from such risks occur, our financial condition and results of operations could be materially adversely affected. Therefore, claims for natural and man-made catastrophic events could expose us to large losses and cause substantial volatility in our results of operations, which could cause the value of our common shares to fluctuate widely. In certain instances, we specifically insure and reinsure risks resulting from terrorism. Even in cases where we attempt to exclude losses from terrorism and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will limit enforceability of policy language or otherwise issue a ruling adverse to us.
We seek to limit our loss exposure by writing a number of our reinsurance contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each client and prudent underwriting of each program written. In the case of proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seek to limit our exposure through the purchase of reinsurance. We cannot be certain that any of these loss limitation methods will be effective. We also seek to limit our loss exposure by geographic diversification. Geographic zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone's limits. There can

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be no assurance that various provisions of our policies, such as limitations or exclusions from coverage or choice of forum, will be enforceable in the manner we intend. Disputes relating to coverage and choice of legal forum may also arise. Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may not provide sufficient guidance. One or more catastrophic or other events could result in claims that substantially exceed our expectations, which could have a material adverse effect on our financial condition or our results of operations, possibly to the extent of eliminating our shareholders' equity.
For our natural catastrophe exposed business, we seek to limit the amount of exposure we will assume from any one insured or reinsured and the amount of the exposure to catastrophe losses from a single event in any geographic zone. We monitor our exposure to catastrophic events, including earthquake and wind and periodically reevaluate the estimated probable maximum pre-tax loss for such exposures. Our estimated probable maximum pre-tax loss is determined through the use of modeling techniques, but such estimate does not represent our total potential loss for such exposures.
Our models employ both proprietary and vendor-based systems and include cross-line correlations for property, marine, offshore energy, aviation, workers compensation and personal accident. We seek to limit the probable maximum pre-tax loss to a specific level for severe catastrophic events. Currently, we seek to limit our 1-in-250 year return period net probable maximum loss from a severe catastrophic event in any geographic zone to approximately 25% of tangible shareholders’ equity available to Arch (total shareholders’ equity available to Arch less goodwill and intangible assets). We reserve the right to change this threshold at any time.
Based on in-force exposure estimated as of January 1, 2024, our modeled peak zone catastrophe exposure is a windstorm affecting the Florida Tri-County, with a net probable maximum pre-tax loss of $1.6 billion, followed by windstorms affecting the Northeast U.S., and the Gulf of Mexico with net probable maximum pre-tax losses of $1.4 billion and $1.3 billion, respectively. As of January 1, 2024, our modeled peak zone earthquake exposure (San Francisco area earthquake) represented approximately 54% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (German windstorm) was substantially less than both our peak zone windstorm and earthquake exposures.
We also have significant exposure to losses due to mortgage defaults resulting from severe economic events in the future. For our U.S. mortgage insurance business, we have developed a proprietary risk model (“Realistic Disaster
Scenario” or “RDS”) that simulates the maximum loss resulting from a severe economic downturn impacting the housing market. The RDS models the collective impact of adverse conditions for key economic indicators, the most significant of which is a decline in home prices. The RDS model projects paths of future home prices, unemployment rates, income levels and interest rates and assumes correlation across states and geographic regions. The resulting future performance of our in-force portfolio is then estimated under the economic stress scenario, reflecting loan and borrower information.
Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of total tangible shareholders’ equity available to Arch. We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of January 1, 2024, our modeled RDS loss was 7.0% of tangible shareholders’ equity available to Arch.
Net probable maximum loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. RDS loss estimates are net of expected reinsurance recoveries and before income tax. Catastrophe loss estimates are reflective of the zone indicated and not the entire portfolio. Since hurricanes and windstorms can affect more than one zone and make multiple landfalls, our catastrophe loss estimates include clash estimates from other zones. Our catastrophe loss estimates and RDS loss estimates do not represent our maximum exposures and it is highly likely that our actual incurred losses would vary materially from the modeled estimates. There can be no assurances that we will not suffer pre-tax losses greater than 25% of our tangible shareholders’ equity from one or more catastrophic events or severe economic events due to several factors, including the inherent uncertainties in estimating the frequency and severity of such events and the margin of error in making such determinations resulting from potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques or as a result of a decision to change the percentage of shareholders' equity exposed to a single catastrophic event or severe economic event. In addition, actual losses may increase if our reinsurers fail to meet their obligations to us or the reinsurance protections purchased by us are exhausted or are otherwise unavailable. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations” Depending on business opportunities and the mix of business that may comprise our insurance, reinsurance and mortgage portfolios, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business. See “—Summary of Critical Accounting Estimates—Ceded Reinsurance” for a discussion of our catastrophe reinsurance programs.

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MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT
Our investment results are subject to a variety of risks, including risks related to changes in the business, financial condition or results of operations of the entities in which we invest, as well as changes in general economic conditions and overall market conditions. We are also exposed to potential loss from various market risks, including changes in equity prices, interest rates and foreign currency exchange rates.
In accordance with the SEC’s Financial Reporting Release No. 48, we performed a sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments as of December 31, 2023. Market risk represents the risk of changes in the fair value of a financial instrument and consists of several components, including liquidity, basis and price risks.
The sensitivity analysis performed as of December 31, 2023 presents hypothetical losses in cash flows, earnings and fair values of market sensitive instruments which were held by us on December 31, 2023 and are sensitive to changes in interest rates and equity security prices. This risk management discussion and the estimated amounts generated from the following sensitivity analysis represent forward-looking statements of market risk assuming certain adverse market conditions occur. Actual results in the future may differ materially from these projected results due to actual developments in the global financial markets. The analysis methods used by us to assess and mitigate risk should not be considered projections of future events of losses.
The focus of the SEC’s market risk rules is on price risk. For purposes of specific risk analysis, we employ sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments. The financial instruments included in the following sensitivity analysis consist of all of our investments and cash.
Investment Market Risk
Fixed Income Securities. We invest in interest rate sensitive securities, primarily debt securities. We consider the effect of interest rate movements on the fair value of our fixed maturities, short-term investments and certain of our other investments, equity securities and investment funds accounted for using the equity method which invest in fixed income securities (collectively, “Fixed Income Securities”) and the corresponding change in unrealized appreciation. As interest rates rise, the fair value of our Fixed Income Securities falls, and the converse is also true. Based on historical observations, there is a low probability that all
interest rate yield curves would shift in the same direction at the same time. Furthermore, at times interest rate movements in certain credit sectors exhibit a much lower correlation to changes in U.S. Treasury yields. Accordingly, the actual effect of interest rate movements may differ materially from the amounts set forth in the following tables.
The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our investment portfolio at December 31, 2023 and 2022:
(U.S. dollars in billions)
Interest Rate Shift in Basis Points
-100-50
-
+50+100
Dec. 31, 2023
Total fair value$33.6 $33.1 $32.7 $32.2 $31.7 
Change from base3.0 %1.5 %(1.4)%(2.8)%
Change in unrealized value$0.98 $0.49 $(0.46)$(0.91)
Dec. 31, 2022
Total fair value$27.2 $26.8 $26.4 $26.0 $25.7 
Change from base2.9 %1.4 %(1.4)%(2.7)%
Change in unrealized value$0.77 $0.37 $(0.37)$(0.71)
In addition, we consider the effect of credit spread movements on the market value of our Fixed Income Securities and the corresponding change in unrealized value. As credit spreads widen, the fair value of our Fixed Income Securities falls, and the converse is also true. In periods where the spreads on our Fixed Income Securities are much higher than their historical average due to short-term market dislocations, a parallel shift in credit spread levels would result in a much more pronounced change in unrealized value.
The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on the portfolio at December 31, 2023 and 2022:
(U.S. dollars in billions)
Credit Spread Shift in Percentage
-100-50
-
+50+100
Dec. 31, 2023
Total fair value$33.8 $33.2 $32.7 $32.1 $31.5 
Change from base3.4 %1.7 %(1.7)%(3.4)%
Change in unrealized value$1.11 $0.56 $(0.56)$(1.11)
Dec. 31, 2022
Total fair value$27.5 $26.9 $26.4 $25.9 $25.3 
Change from base4.1 %2.0 %(2.0)%(4.1)%
Change in unrealized value$1.08 $0.53 $(0.53)$(1.08)

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Another method that attempts to measure portfolio risk is Value-at-Risk (“VaR”). VaR measures the worst expected loss under normal market conditions over a specific time interval at a given confidence level. The 1-year 95th percentile parametric VaR reported herein estimates that 95% of the time, the portfolio loss in a one-year horizon would be less than or equal to the calculated number, stated as a percentage of the measured portfolio’s initial value. The VaR is a variance-covariance based estimate, based on linear sensitivities of a portfolio to a broad set of systematic market risk factors and idiosyncratic risk factors mapped to the portfolio exposures. The relationships between the risk factors are estimated using historical data, and the most recent data points are generally given more weight. As of December 31, 2023, our portfolio’s 95th percentile VaR was estimated to be 7.8%, compared to an estimated 8.8% at December 31, 2022. In periods where the volatility of the risk factors mapped to our portfolio’s exposures is higher due to market conditions, the resulting VaR is higher than in other periods.
Equity Securities. At December 31, 2023 and 2022, the fair value of our investments in equity securities and certain investments accounted for using the equity method with underlying equity strategies totaled $1.0 billion and $0.8 billion, respectively. These investments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% decline in the value of each position would reduce the fair value of such investments by approximately $101 million and $79 million at December 31, 2023 and 2022, respectively, and would have decreased book value per share by approximately $0.27 and $0.21, respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $101 million and $79 million at December 31, 2023 and 2022, respectively, and would have increased book value per share by approximately $0.27 and $0.21, respectively.

Investment-Related Derivatives. At December 31, 2023, the notional value of all derivative instruments (excluding foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $4.2 billion, compared to $6.6 billion at December 31, 2022. If the underlying exposure of each investment-related derivative held at December 31, 2023 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $42 million, and a decrease in book value per share of $0.11, compared to $66 million and $0.18, respectively, on investment-related derivatives held at December 31, 2022. If the underlying exposure of each investment-related derivative held at December 31, 2023 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $42 million, and an increase in book value per share of $0.11, compared to $66 million and $0.18, respectively, on investment-related derivatives held at December 31, 2022. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.
For further discussion on investment activity, please refer to “—Financial Condition, Liquidity and Capital Resources—Financial Condition—Investable Assets.”


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Foreign Currency Exchange Risk
Foreign currency rate risk is the potential change in value, income and cash flow arising from adverse changes in foreign currency exchange rates. Through our subsidiaries and branches located in various foreign countries, we conduct our insurance and reinsurance operations in a variety of local currencies other than the U.S. Dollar. We generally hold investments in foreign currencies which are intended to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional information.
The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:
(U.S. dollars in millions, except 
per share data)
December 31,
2023
December 31,
2022
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$(300)$(396)
Shareholders’ equity denominated in foreign currencies (1)1,158 1,056 
Net foreign currency forward contracts outstanding (2)246 312 
Net exposures denominated in foreign currencies$1,104 $972 
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies:  
Shareholders’ equity$(110)$(97)
Book value per share$(0.30)$(0.26)
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies:  
Shareholders’ equity$110 $97 
Book value per share$0.30 $0.26 
(1)    Represents capital contributions held in the foreign currencies of our operating units.
(2)    Represents the net notional value of outstanding foreign currency forward contracts.
Although the Company generally attempts to match the currency of its projected liabilities with investments in the same currencies, from time to time the Company may elect to over or underweight one or more currencies, which could increase the Company’s exposure to foreign currency fluctuations and increase the volatility of the Company’s shareholders’ equity. Historical observations indicate a low probability that all foreign currency exchange rates would shift against the U.S. Dollar in the same direction and at the same time and, accordingly, the actual effect of foreign currency rate movements may differ materially from the amounts set forth above. For further discussion on foreign exchange activity, please refer to “—Results of Operations.”
Effects of Inflation
General economic inflation has increased in recent quarters and may continue to remain at elevated levels for an extended period of time. The potential also exists, after a catastrophe loss or pandemic events like COVID-19, for the development of inflationary pressures in a local economy. This may have a material effect on the adequacy of our reserves for losses and loss adjustment expenses, especially in longer-tailed lines of business, and on the market value of our investment portfolio through rising interest rates. The anticipated effects of inflation are considered in our pricing models, reserving processes and exposure management, across all lines of business and types of loss including natural catastrophe events. The actual effects of inflation on our results cannot be accurately known until claims are ultimately settled and will vary by the specific type of inflation affecting each line of business.
ITEM 7A. QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK
Reference is made to the information appearing above under the subheading “Market Sensitive Instruments and Risk Management” under the caption “Management’s Discussion and Analysis of Financial Condition and Results of Operation,” which information is hereby incorporated by reference.

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ITEM 8.     FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA
Index to Financial StatementsPage No.
At December 31, 2023 and December 31, 2022
For the years ended December 31, 2023, 2022 and 2021
For the years ended December 31, 2023, 2022 and 2021
For the years ended December 31, 2023, 2022 and 2021
For the years ended December 31, 2023, 2022 and 2021
Notes to Consolidated Financial Statements

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Report of Independent Registered Public Accounting Firm
To the Board of Directors and Shareholders of Arch Capital Group Ltd.
Opinions on the Financial Statements and Internal Control over Financial Reporting
We have audited the accompanying consolidated balance sheets of Arch Capital Group Ltd. and its subsidiaries (the “Company”) as of December 31, 2023 and 2022, and the related consolidated statements of income, of comprehensive income, of changes in shareholders’ equity and of cash flows for each of the three years in the period ended December 31, 2023, including the related notes and financial statement schedules listed in the index appearing under Item 15(a)(2) (collectively referred to as the “consolidated financial statements”). We also have audited the Company's internal control over financial reporting as of December 31, 2023, based on criteria established in Internal Control - Integrated Framework (2013) issued by the Committee of Sponsoring Organizations of the Treadway Commission (COSO).
In our opinion, the consolidated financial statements referred to above present fairly, in all material respects, the financial position of the Company as of December 31, 2023 and 2022, and the results of its operations and its cash flows for each of the three years in the period ended December 31, 2023 in conformity with accounting principles generally accepted in the United States of America. Also in our opinion, the Company maintained, in all material respects, effective internal control over financial reporting as of December 31, 2023, based on criteria established in Internal Control - Integrated Framework (2013) issued by the COSO.
Basis for Opinions
The Company's management is responsible for these consolidated financial statements, for maintaining effective internal control over financial reporting, and for its assessment of the effectiveness of internal control over financial reporting, included in Management’s Annual Report on Internal Control over Financial Reporting appearing under Item 9A. Our responsibility is to express opinions on the Company’s consolidated financial statements and on the Company's internal control over financial reporting based on our audits. We are a public accounting firm registered with the Public Company Accounting Oversight Board (United States) (PCAOB) and are required to be independent with respect to the Company in accordance with the U.S. federal securities laws and the applicable rules and regulations of the Securities and Exchange Commission and the PCAOB.
We conducted our audits in accordance with the standards of the PCAOB. Those standards require that we plan and perform the audits to obtain reasonable assurance about whether the consolidated financial statements are free of material misstatement, whether due to error or fraud, and whether effective internal control over financial reporting was maintained in all material respects.
Our audits of the consolidated financial statements included performing procedures to assess the risks of material misstatement of the consolidated financial statements, whether due to error or fraud, and performing procedures that respond to those risks. Such procedures included examining, on a test basis, evidence regarding the amounts and disclosures in the consolidated financial statements. Our audits also included evaluating the accounting principles used and significant estimates made by management, as well as evaluating the overall presentation of the consolidated financial statements. Our audit of internal control over financial reporting included obtaining an understanding of internal control over financial reporting, assessing the risk that a material weakness exists, and testing and evaluating the design and operating effectiveness of internal control based on the assessed risk. Our audits also included performing such other procedures as we considered necessary in the circumstances. We believe that our audits provide a reasonable basis for our opinions.
Definition and Limitations of Internal Control over Financial Reporting
A company’s internal control over financial reporting is a process designed to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally accepted accounting principles. A company’s internal control over financial reporting includes those policies and procedures that (i) pertain to the maintenance of records that, in reasonable detail, accurately and fairly reflect the transactions and dispositions of the assets of the company; (ii) provide reasonable assurance that transactions are recorded as necessary to permit preparation of financial statements in accordance with generally accepted accounting principles, and that receipts and expenditures of the company are being made only in accordance with authorizations of management and directors of the company; and (iii) provide reasonable assurance regarding prevention or timely detection of unauthorized acquisition, use, or disposition of the company’s assets that could have a material effect on the financial statements.

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Because of its inherent limitations, internal control over financial reporting may not prevent or detect misstatements. Also, projections of any evaluation of effectiveness to future periods are subject to the risk that controls may become inadequate because of changes in conditions, or that the degree of compliance with the policies or procedures may deteriorate.
Critical Audit Matters
The critical audit matters communicated below are matters arising from the current period audit of the consolidated financial statements that were communicated or required to be communicated to the audit committee and that (i) relate to accounts or disclosures that are material to the consolidated financial statements and (ii) involved our especially challenging, subjective, or complex judgments. The communication of critical audit matters does not alter in any way our opinion on the consolidated financial statements, taken as a whole, and we are not, by communicating the critical audit matters below, providing separate opinions on the critical audit matters or on the accounts or disclosures to which they relate.
Valuation of Reserve for Losses and Loss Adjustment Expenses
As described in Notes 3, 5 and 6 to the consolidated financial statements, the reserve for losses and loss adjustment expenses represents estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. As of December 31, 2023, the Company’s total reserve for losses and loss adjustment expenses was $22.8 billion. For the insurance and reinsurance segments, management estimates ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Ultimate losses and loss adjustment expenses are generally determined by extrapolation of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future. Management makes a number of key assumptions in their reserving process, including estimating loss development patterns and expected loss ratios. For the mortgage segment, the lead actuarial methodology used by management is a frequency-severity method based on the inventory of pending delinquencies. The assumptions of frequency and severity reflect judgments based on historical data and experience.
The principal considerations for our determination that performing procedures relating to the valuation of the reserve for losses and loss adjustment expenses is a critical audit matter are (i) the significant judgment by management when developing their estimate, (ii) a high degree of auditor judgment, subjectivity and effort in performing procedures and evaluating audit evidence relating to the aforementioned key actuarial methods and key assumptions, and (iii) the audit effort involved the use of professionals with specialized skill and knowledge.
Addressing the matter involved performing procedures and evaluating audit evidence in connection with forming our overall opinion on the consolidated financial statements. These procedures included testing the effectiveness of controls relating to the valuation of the reserve for losses and loss adjustment expenses, including controls over the selection of key actuarial methods and development of key assumptions. These procedures also included, among others, the involvement of professionals with specialized skill and knowledge to assist in performing one or a combination of procedures, including (i) developing an independent estimate, on a test basis, of the reserve for losses and loss adjustment expenses, and comparing the independent estimate to management’s actuarially determined reserve for losses and loss adjustment expenses to evaluate the reasonableness of the reserve for losses and loss adjustment expenses and (ii) evaluating the appropriateness of the actuarial methods and reasonableness of the assumptions related to loss development patterns, expected loss ratios, frequency, and severity used by management to determine the Company’s reserve for losses and loss adjustment expenses. Developing the independent estimate and evaluating the appropriateness of the key methods and reasonableness of the key assumptions related to loss development patterns, expected loss ratios, frequency and severity, as applicable, involved testing the completeness and accuracy of historical data provided by management.

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Measurement of Deferred Tax Assets related to Certain Identifiable Intangible Assets in Bermuda Entities
As described in Note 15 to the consolidated financial statements, as of December 31, 2023, the Company recognized $1.2 billion in net deferred tax assets related to the Bermuda government’s enactment of the Bermuda Corporate Income Tax Act 2023. As disclosed by management, the enacted legislation includes a provision referred to as the Economic Transition Adjustment, which requires Bermuda entities to establish tax basis in their assets and liabilities, excluding goodwill, based on fair value as of September 30, 2023. The most significant deferred tax assets recognized relates to identifiable intangible assets. Management estimated the fair value of the identifiable intangible assets using discounted cash flow models. The significant assumptions utilized in the discounted cash flow models included the future revenue and profits expected to be generated by the identifiable intangible assets and the discount rates.
The principal considerations for our determination that performing procedures relating to the measurement of deferred tax assets related to certain identifiable intangible assets in Bermuda entities is a critical audit matter are (i) the significant judgment by management when developing the fair value estimate of certain identifiable intangible assets, (ii) a high degree of auditor judgment, subjectivity and effort in performing procedures and evaluating management’s significant assumptions related to the future revenue and profits expected to be generated by the certain identifiable intangible assets and the discount rates, and (iii) the audit effort involved the use of professionals with specialized skill and knowledge.
Addressing the matter involved performing procedures and evaluating audit evidence in connection with forming our overall opinion on the consolidated financial statements. These procedures included testing the effectiveness of controls relating to the enactment of the Bermuda Corporate Income Tax Act 2023 including controls over the valuation of certain identifiable intangible assets related to the enactment of the Bermuda Corporate Income Tax Act 2023. These procedures also included, among others, (i) testing management’s process for developing the fair value estimate of the certain identifiable intangible assets, (ii) evaluating the appropriateness of the discounted cash flow models used by management, (iii) testing the completeness and accuracy of the data used in the models, and (iv) evaluating the reasonableness of the significant assumptions used by management related to the future revenue and profits expected to be generated by the certain identifiable intangible assets and the discount rates. Evaluating management’s assumptions related to the future revenue and profits expected to be generated by the identifiable intangible assets involved evaluating whether the assumptions used were reasonable considering (i) the consistency with historical revenue and profits generated by the Bermuda entities and (ii) whether the assumptions were consistent with evidence obtained in other areas of the audit. Professionals with specialized skill and knowledge were used to assist in evaluating (i) the appropriateness of the discounted cash flow models and (ii) the reasonableness of the discount rate assumptions.

/s/ PricewaterhouseCoopers LLP


New York, New York

February 23, 2024
We have served as the Company’s or its predecessor’s auditor since 1995.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars and shares in millions)
December 31,
20232022
Assets
Investments:
Fixed maturities available for sale, at fair value (amortized cost: $24,131 and $21,282; net of allowance for credit losses: $28 and $41)
$23,553 $19,683 
Short-term investments available for sale, at fair value (amortized cost: $2,064 and $1,333; net of allowance for credit losses: $0 and $0 )
2,063 1,332 
Equity securities, at fair value1,186 860 
Other investments (portion measured at fair value: $2,488 and $1,644)
2,488 1,644 
Investments accounted for using the equity method4,566 3,774 
Total investments33,856 27,293 
Cash917 855 
Accrued investment income236 159 
Investment in operating affiliates1,119 965 
Premiums receivable (net of allowance for credit losses: $34 and $35)
4,644 3,625 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses (net of allowance for credit losses: $21 and $22)
7,064 6,564 
Contractholder receivables (net of allowance for credit losses: $3 and $3)
1,814 1,731 
Ceded unearned premiums2,170 1,799 
Deferred acquisition costs1,531 1,264 
Receivable for securities sold63 12 
Goodwill and intangible assets731 804 
Other assets4,761 2,919 
Total assets$58,906 $47,990 
Liabilities
Reserve for losses and loss adjustment expenses$22,752 $20,032 
Unearned premiums8,808 7,337 
Reinsurance balances payable2,000 1,530 
Contractholder payables1,817 1,734 
Collateral held for insured obligations259 249 
Senior notes2,726 2,725 
Payable for securities purchased247 95 
Other liabilities1,942 1,367 
Total liabilities40,551 35,069 
Commitments and Contingencies (refer to Note 18)
Redeemable noncontrolling interests2 11 
Shareholders’ Equity
Non-cumulative preferred shares830 830 
Common shares ($0.0011 par, shares issued: 591.9 and 588.3)
1 1 
Additional paid-in capital2,327 2,211 
Retained earnings20,295 15,892 
Accumulated other comprehensive income (loss), net of deferred income tax(676)(1,646)
Common shares held in treasury, at cost (shares: 218.5 and 217.9)
(4,424)(4,378)
Total shareholders' equity available to Arch18,353 12,910 
Total liabilities, noncontrolling interests and shareholders' equity$58,906 $47,990 
See Notes to Consolidated Financial Statements

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF INCOME
(U.S. dollars and shares in millions, except per share data)
Year Ended December 31,
202320222021
Revenues
Net premiums earned$12,440 $9,679 $8,082 
Net investment income1,023 496 389 
Net realized gains (losses)(165)(663)380 
Other underwriting income31 13 21 
Equity in net income of investments accounted for using the equity method278 115 366 
Other income (loss)27 (27)10 
Total revenues13,634 9,613 9,248 
Expenses
Losses and loss adjustment expenses6,246 5,028 4,585 
Acquisition expenses2,312 1,740 1,303 
Other operating expenses1,301 1,128 999 
Corporate expenses102 95 78 
Amortization of intangible assets95 106 82 
Interest expense133 131 139 
Net foreign exchange losses (gains)60 (102)(41)
Total expenses10,249 8,126 7,145 
Income before income taxes and income (loss) from operating affiliates3,385 1,487 2,103 
Income taxes:
Current tax expense (benefit) 288 201 295 
Deferred tax expense (benefit) (1,161)(121)(167)
Income tax expense (benefit)(873)80 128 
Income (loss) from operating affiliates184 75 264 
Net income$4,442 $1,482 $2,239 
Net (income) loss attributable to noncontrolling interests1 (6)(82)
Net income available to Arch4,443 1,476 2,157 
Preferred dividends(40)(40)(48)
Loss on redemption of preferred shares  (15)
Net income available to Arch common shareholders$4,403 $1,436 $2,094 
Net income per common share and common share equivalent
Basic$11.94 $3.90 $5.35 
Diluted$11.62 $3.80 $5.23 
Weighted average common shares and common share equivalents outstanding
Basic368.7368.6391.7
Diluted378.8377.6400.3

See Notes to Consolidated Financial Statements

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(U.S. dollars in millions)
Year Ended December 31,
202320222021
Comprehensive Income
Net income$4,442 $1,482 $2,239 
Other comprehensive income (loss), net of deferred income tax
Unrealized appreciation (decline) in value of available-for-sale investments:
Unrealized holding gains (losses) arising during year547 (1,772)(386)
Reclassification of net realized (gains) losses, included in net income400 247 (117)
Foreign currency translation adjustments23 (56)(65)
Comprehensive income (loss)5,412 (99)1,671 
Net (income) loss attributable to noncontrolling interests1 (6)(82)
Other comprehensive (income) loss attributable to noncontrolling interests  14 
Comprehensive income available to Arch (loss)$5,413 $(105)$1,603 



See Notes to Consolidated Financial Statements

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS' EQUITY
(U.S. dollars in millions)
Year Ended December 31,
202320222021
Non-cumulative preferred shares
Balance at beginning of year$830 $830 $780 
Preferred shares issued  500 
Preferred shares redeemed  (450)
Balance at end of year830 830 830 
Common shares
Balance at beginning and end of year1 1 1 
Additional paid-in capital
Balance at beginning of year2,211 2,085 1,978 
Issue costs on preferred shares issued  (14)
Reversal of issue costs on preferred shares redeemed  15 
Amortization of share-based compensation93 88 86 
Other changes23 38 20 
Balance at end of year2,327 2,211 2,085 
Retained earnings
Balance at beginning of year15,892 14,456 12,362 
Net income4,442 1,482 2,239 
Net (income) loss attributable to noncontrolling interests1 (6)(82)
Preferred share dividends(40)(40)(48)
Loss on redemption of preferred shares  (15)
Balance at end of year20,295 15,892 14,456 
Accumulated other comprehensive income (loss)
Balance at beginning of year(1,646)(65)489 
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:
Balance at beginning of year(1,512)13 501 
Unrealized holding gains (losses) during period, net of reclassification adjustment
947 (1,525)(503)
Unrealized holding gains (losses) during period attributable to noncontrolling interests
  15 
Balance at end of year(565)(1,512)13 
Foreign currency translation adjustments, net of deferred income tax:
Balance at beginning of year(134)(78)(12)
Foreign currency translation adjustments23 (56)(65)
Foreign currency translation adjustments attributable to noncontrolling interests  (1)
Balance at end of year(111)(134)(78)
Balance at end of year(676)(1,646)(65)
Common shares held in treasury, at cost
Balance at beginning of year(4,378)(3,761)(2,504)
Shares repurchased for treasury(46)(617)(1,257)
Balance at end of year(4,424)(4,378)(3,761)
Total shareholders’ equity$18,353 $12,910 $13,546 


See Notes to Consolidated Financial Statements

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
(U.S. dollars in millions)
Year Ended December 31,
202320222021
Operating Activities
Net income$4,442 $1,482 $2,239 
Adjustments to reconcile net income to net cash provided by operating activities:
Net realized (gains) losses182 651 (427)
Equity in net (income) or loss of investments accounted for using the
equity method and other income or loss
(215)154 (464)
Amortization of intangible assets95 106 82 
Share-based compensation93 88 88 
Changes in:
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable2,138 1,890 1,762 
Unearned premiums, net of ceded unearned premiums1,028 1,399 935 
Premiums receivable(981)(1,110)(685)
Deferred acquisition costs(235)(374)(263)
Reinsurance balances payable455 (36)499 
Deferred income tax assets, net(1,161)(121)(167)
Other items, net(92)(313)(174)
Net cash provided by operating activities5,749 3,816 3,425 
Investing Activities
Purchases of fixed maturity investments(18,062)(16,390)(35,452)
Purchases of equity securities(456)(797)(1,175)
Purchases of other investments(2,171)(1,720)(1,859)
Proceeds from sales of fixed maturity investments14,105 11,844 33,577 
Proceeds from sales of equity securities288 1,554 918 
Proceeds from sales, redemptions and maturities of other investments768 1,220 1,766 
Proceeds from redemptions and maturities of fixed maturity investments781 715 1,629 
Net settlements of derivative instruments50 (69)(39)
Net (purchases) sales of short-term investments(696)467 165 
Purchase of operating affiliate  (754)
Impact of the deconsolidation of the variable interest entity  (349)
Purchases of fixed assets(52)(50)(41)
Other(23)125 (524)
Net cash used for investing activities(5,468)(3,101)(2,138)
Financing Activities
Proceeds from issuance of preferred shares, net  486 
Redemption of preferred shares  (450)
Purchases of common shares under share repurchase program (586)(1,234)
Proceeds from common shares issued, net(2)6 6 
Third party investment in non-redeemable noncontrolling interests  16 
Third party investment in redeemable noncontrolling interests(22)  
Dividends paid to redeemable noncontrolling interests  (2)
Other(5)(86)(4)
Preferred dividends paid(40)(40)(47)
Net cash provided by (used for) financing activities(69)(706)(1,229)
Effects of exchange rate changes on foreign currency cash and restricted cash13 (50)(34)
Increase (decrease) in cash and restricted cash225 (41)24 
Cash and restricted cash, beginning of year1,273 1,314 1,290 
Cash and restricted cash, end of year$1,498 $1,273 $1,314 
Income taxes paid (received)$267 $255 $286 
Interest paid$127 $128 $139 
See Notes to Consolidated Financial Statements

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
1.    General
Arch Capital Group Ltd. (“Arch Capital” or “Arch”) is a publicly listed Bermuda exempted company which provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries. As used herein, the “Company” means Arch Capital and its subsidiaries. Similarly, “Common Shares” means the common shares of Arch Capital.
The Company’s 2021 consolidated financial statements included the results of Somers Group Holdings Ltd. (formerly Watford Holdings Ltd.) and its wholly owned subsidiaries (“Somers”). Effective July 1, 2021, Somers is wholly owned by Greysbridge Holdings Ltd., (“Greysbridge”) and Greysbridge is owned 40% by the Company, 30% by certain investment funds managed by Kelso & Company (“Kelso”) and 30% by certain investment funds managed by Warburg Pincus LLC (“Warburg”). Based on the governing documents of Greysbridge, the Company concluded that, while it retains significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, Arch no longer consolidates the results of Somers in its consolidated financial statements and footnotes. See note 12, “Variable Interest Entity and Noncontrolling Interests”.
The Company has reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on the Company’s net income, shareholders’equity or cash flows. All amounts are in millions, except per share amounts, unless otherwise noted.
2.    Acquisitions
Westpac Lenders Mortgage Insurance Limited (“WLMI”)
On August 31, 2021, the Company completed the acquisition of WLMI, an Australian Prudential Regulation Authority authorized captive lenders mortgage insurance (“LMI”) provider to the Westpac Banking Corporation (“Westpac”). As part of the acquisition, WLMI retained its existing risk in force and will remain Westpac’s exclusive provider of LMI on new mortgage originations for a period of 10 years from the acquisition date. The Company was renamed Arch Lenders Mortgage Indemnity Limited (“Arch Indemnity”) and will be the Company’s primary provider of LMI to the Australian market.
Somerset Bridge Group Limited, Southern Rock Holdings Limited and affiliates (“Somerset Group”)
On August 6, 2021, the Company completed the acquisition of Somerset Group. The acquisition includes Somerset Group’s motor insurance managing general agent, distribution capabilities through direct and aggregator channels, affiliated insurer and fully integrated claims operation.
In connection with the acquisitions noted above, the Company increased its goodwill and intangible assets by $350.1 million.
3.    Significant Accounting Policies
(a) Basis of Presentation
The consolidated financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America (“GAAP”) and include the accounts of Arch Capital and its subsidiaries, including Arch Reinsurance Ltd. (“Arch Re Bermuda”), Arch Reinsurance Company (“Arch Re U.S.”), Arch Capital Group (U.S.) Inc.(“Arch-U.S.”), Arch Insurance Company, Arch Specialty Insurance Company, Arch Property Casualty Insurance Company (“Arch P&C”), Arch Indemnity Insurance Company (“Arch Indemnity Insurance”), Arch Insurance Canada Ltd. (“Arch Insurance Canada”), Arch Reinsurance Europe Designated Activity Company (“Arch Re Europe”), Arch Mortgage Insurance Company (“AMIC”), Arch Mortgage Guaranty Company (“AMG”), United Guaranty Residential Insurance Company (“UGRIC”), Arch Indemnity, Arch Insurance (EU) Designated Activity Company (“Arch Insurance (EU)”), Arch Insurance (U.K.) Limited (“Arch Insurance (U.K.)”) and the Company’s participation on Lloyd’s of London syndicates: 2012 (“Arch Syndicate 2012”) and 1955 (“Arch Syndicate 1955” and together with Arch Syndicate 2012, the Company’s “Lloyd’s Syndicates”). All significant intercompany transactions and balances have been eliminated in consolidation.
The preparation of financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and disclosure of contingent assets and liabilities at the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. Actual results could differ materially from those estimates and assumptions. The Company’s principal estimates include:
The reserve for losses and loss adjustment expenses;
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses, including the provision for uncollectible amounts;

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
Estimates of written and earned premiums;
The valuation of the investment portfolio and assessment of allowance for credit losses;
The valuation of purchased intangible assets;
The assessment of goodwill and intangible assets for impairment; and
The valuation of deferred income tax assets.
(b) Premium Revenues and Related Expenses
Insurance. Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates that are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.
Reinsurance. Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by the Company’s own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of the Company’s experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to the Company. On an ongoing basis, the Company’s underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account the Company’s historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which the Company assumes business generally contain specific provisions which allow the Company to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined.
Reinsurance premiums written are recorded based on the type of contracts the Company writes. Premiums on the Company’s excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on
the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks are expected to incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.
Reinsurance premiums written, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period. Certain of the Company’s reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.
The Company also writes certain reinsurance business that is intended to provide insurers with risk management solutions that complement traditional reinsurance. Under these contracts, the Company assumes a measured amount of insurance risk in exchange for an anticipated margin, which is typically lower than on traditional reinsurance contracts. The terms and conditions of these contracts may include additional or return premiums based on loss experience, loss corridors, sublimits and caps. Examples of such business include aggregate stop-loss coverages, financial quota share coverages and multi-year retrospectively rated excess of loss coverages. If these contracts are deemed to transfer risk, they are accounted for as reinsurance. Otherwise, such contracts are accounted for under the deposit method.
Mortgage. Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, the Company is not able to re-underwrite or re-price its policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage insurance premiums written on

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policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled due to repayment by the borrower and the policy is a non-refundable product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.
Unearned premiums for the Company’s mortgage operations represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.
Reinstatement premiums for the Company’s insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment.
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned. A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts.
Premiums receivable include amounts receivable from agents, brokers and insured that are both currently due and amounts not yet due on insurance, reinsurance and mortgage insurance policies. Premiums receivable balances are reported net of an allowance for expected credit losses. The Company monitors credit risk associated with premiums receivable through its ongoing review of amounts outstanding, aging of the receivable, historical loss data, and
counterparty financial strength measures. The allowance also includes estimated uncollectible amounts related to dispute risk. In certain instances, credit risk may be reduced by the Company’s right to offset loss obligations or unearned premiums against premiums receivable. Any allowance for credit losses is charged to net realized gains (losses) in the period the receivable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
Acquisition Costs. Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. The Company’s insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For the Company’s mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, the Company estimates the rate of amortization to reflect actual experience and any changes to persistency or loss development.
Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.
A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs and maintenance costs exceed unearned premiums (including expected future premiums) and anticipated investment income. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.
To assess the need for a PDR on mortgage exposures, the Company develops loss projections based on modeled loan defaults related to its current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected

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profitability of the Company’s existing mortgage insurance business and the need for a PDR for its mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. No premium deficiency charges were recorded by the Company during 2023, 2022 or 2021.
(c) Deposit Accounting
Certain assumed reinsurance contracts that are deemed not to transfer insurance risk, are accounted for using the deposit method of accounting. However, it is possible that the Company could incur financial losses on such contracts. Management exercises significant judgment in the assumptions used in determining whether assumed contracts should be accounted for as reinsurance contracts or deposit contracts. For those contracts that contain only significant underwriting risk, the estimated profit margin is deferred and amortized over the contract period and such amount is included in the Company’s underwriting results. When the estimated profit margin is explicit, the margin is reflected as other underwriting income and any adverse financial results on such contracts are reflected as incurred losses. When the estimated profit margin is implicit, the margin is reflected as an offset to paid losses and any adverse financial results on such contracts are reflected as incurred losses. Additional judgments are required when applying the accounting guidance with respect to the revenue recognition criteria for contracts deemed to transfer only significant underwriting risk. For those contracts that contain only significant timing risk, an accretion rate is established at inception of the contract based on actuarial estimates whereby the deposit accounting liability is increased to the estimated amount payable over the contract term. The accretion on the deposit is based on the expected rate of return required to fund the expected future payment obligations. Periodically the Company reassesses the estimated ultimate liability and the related expected rate of return. The accretion of the deposit accounting liability as well as changes to the estimated ultimate liability and the accretion rate would be reflected as part of interest expense in the Company’s results of operations. Any negative accretion in a deposit accounting liability is shown in other underwriting income in the Company’s results of operations.
Under some of these contracts, the ceding company retains the related assets on a funds held basis. Such amounts are included in “Other assets” on the Company’s balance sheet. Interest income produced by those assets are recorded as part of net investment income in the Company's results of operations.
(d) Retroactive Reinsurance
Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, the Company bifurcates the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.
(e) Reinsurance Ceded
In the normal course of business, the Company purchases reinsurance to increase capacity and to limit the impact of individual losses and events on its underwriting results by reinsuring certain levels of risk with other insurance enterprises or reinsurers. The Company uses pro rata, excess of loss and facultative reinsurance contracts. Reinsurance ceding commissions that represent a recovery of acquisition costs are recognized as a reduction to acquisition costs while the remaining portion is deferred. The accompanying consolidated statement of income reflects premiums and losses and loss adjustment expenses and acquisition costs, net of reinsurance ceded. See note 8, “Reinsurance” for information on the Company's reinsurance usage. Reinsurance premiums ceded and unpaid losses and loss adjustment expenses recoverable are estimated in a manner consistent with that of the original policies issued and the terms of the reinsurance contracts. If the reinsurers are unable to satisfy their obligations under the agreements, the Company’s insurance or reinsurance subsidiaries would be liable for such defaulted amounts.
Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. In certain instances, the Company obtains collateral, including letters of credit and trust accounts to further reduce the credit exposure on its reinsurance recoverables. The Company reports its reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon the Company’s ongoing review of amounts outstanding, the financial condition of its reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. Any

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allowance for credit losses is charged to net realized gains (losses) in the period the recoverable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
(f) Cash
Cash includes cash equivalents, which are investments with original maturities of three months or less which are not part of the investment portfolio.
(g) Restricted Cash
Restricted cash represents amounts held for the benefit of third parties or is legally or contractually restricted as to withdrawal or usage by the Company. Such amounts are included in “Other assets” on the Company’s balance sheet.
(h) Investments
The Company currently classifies substantially all of its fixed maturity investments and short-term investments as “available for sale” and, accordingly, they are carried at estimated fair value (also known as fair value) with the changes in fair value recorded as an unrealized gain or loss component of accumulated other comprehensive income in shareholders’ equity. The fair value of fixed maturity securities and equity securities is generally determined from quotations received from nationally recognized pricing services, or when such prices are not available, by reference to broker or underwriter bid indications. Short-term investments comprise securities due to mature within one year of the date of issue. Short-term investments include certain cash equivalents which are part of investment portfolios under the management of external and internal investment managers.
The Company’s investment portfolio includes certain funds that, due to their ownership structure, are accounted for by the Company using the equity method. In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds. Changes in the carrying value of such investments are recorded in net income as “Equity in net income (loss) of investments accounted for using the equity method.” As such, fluctuations in the carrying value of the investments accounted for using the equity method may increase the volatility of the Company’s reported results of operations.
The Company’s investment portfolio includes equity securities that are accounted for at fair value. Such holdings primarily include publicly traded common stocks. Dividend income on equities is reflected in net investment income. Changes in fair value on equity securities are included in “Net realized gains (losses)” in the consolidated statement of income.
The Company elected to carry certain fixed maturity securities, equity securities, short-term investments and other investments at fair value under the fair value option afforded by accounting guidance regarding the fair value option for financial assets and liabilities. The fair value for certain of the Company’s other investments are determined using net asset values (“NAVs”) as advised by external fund managers. The NAV is based on the fund manager’s valuation of the underlying holdings in accordance with the fund’s governing documents.
Changes in fair value of investments accounted for using the fair value option are included in “Net realized gains (losses).” The primary reasons for electing the fair value option were to address simplification and cost-benefit considerations.
The Company invests in reverse repurchase agreements that are generally treated as collateralized receivables. Receivables for reverse repurchase agreements are reflected in “Other investments” or “Short-term investments” in the Company's consolidated balance sheet depending on their terms. These agreements are recorded at their contracted resale amount plus accrued interest, other than those that are accounted for at fair value. In reverse repurchase transactions, the Company obtains an interest in the purchased assets that are received as collateral.
The Company invests in limited partner interests and shares of limited liability companies. Such amounts are included in investments accounted for using the equity method and other investments. These investments can often have characteristics of a variable interest entity (“VIE”). A VIE refers to entities that have characteristics such as (i) insufficient equity at risk to allow the entity to finance its activities without additional financial support or (ii) instances where the equity investors, as a group, do not have the characteristic of a controlling financial interest. If the Company is determined to be the primary beneficiary, it is required to consolidate the VIE. The primary beneficiary is defined as the variable interest holder that is determined to have the controlling financial interest as a result of having both (i) the power to direct the activities of a VIE that most significantly impact the economic performance of the VIE and (ii) the obligation to absorb losses or right to receive benefits from the VIE that could potentially be significant to the VIE. At inception of the VIE as well as on an ongoing basis, the Company determines whether it is the primary beneficiary based on an analysis of the Company’s level of involvement in the VIE, the

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contractual terms, and the overall structure of the VIE. The Company's maximum exposure to loss with respect to these investments is limited to the investment carrying amounts reported in the Company's consolidated balance sheet and any unfunded commitment.
The Company conducts a periodic review to identify and evaluate credit based impairments related to the Company’s available for sale investments. The Company derives estimated credit losses by comparing expected future cash flows to be collected to the amortized cost of the security. Estimates of expected future cash flows consider among other things, macroeconomic conditions as well as the financial condition, near-term and long-term prospects for the issuer, and the likelihood of the recoverability of principal and interest. Effective January 1, 2020, credit losses are recognized through an allowance account subject to reversal, rather than a reduction in amortized cost. Declines in value attributable to factors other than credit are reported as an unrealized loss in other comprehensive income while the allowance for credit loss is charged to net realized gains (losses) in the consolidated statement of income.
For available for sale investments that the Company intends to sell or for which it is more likely than not that the Company would be required to sell before an anticipated recovery in value, the full amount of the impairment is included in net realized gains (losses). The new cost basis of the investment is the previous amortized cost basis reduced by the impairment recognized in net realized gains (losses). The new cost basis is not adjusted for any subsequent recoveries in fair value.
The Company reports accrued investment income separately from investment balances and has elected not to measure an allowance for credit losses for accrued investment income. Any uncollectible accrued interest income is written off in the period it is deemed uncollectible.
Net investment income includes interest and dividend income together with amortization of market premiums and discounts and is net of investment management and custody fees. Anticipated prepayments and expected maturities are used in applying the interest method for certain investments such as mortgage and other asset-backed securities. When actual prepayments differ significantly from anticipated prepayments, the effective yield is recalculated to reflect actual payments to date and anticipated future payments. The net investment in such securities is adjusted to the amount that would have existed had the new effective yield been applied since the acquisition of the security. Such adjustments, if any, are included in net investment income when determined.
Investment gains or losses realized on the sale of investments, except for certain fund investments, are determined on a first-in, first-out basis and are reflected in net income. Investment gains or losses realized on the sale of certain fund investments are determined on an average cost basis. Unrealized appreciation or decline in the value of available for sale securities, which are carried at fair value, is excluded from net income and recorded as a separate component of accumulated other comprehensive income, net of applicable deferred income tax.
(i) Derivative Instruments
The Company recognizes all derivative instruments, including embedded derivative instruments, at fair value in its consolidated balance sheets. The Company employs the use of derivative instruments within its operations to mitigate risks arising from assets and liabilities held in foreign currencies as well as part of its overall investment strategy. For such instruments, changes in assets and liabilities measured at fair value are recorded as “Net realized gains (losses)” in the consolidated statements of income. In addition, the Company’s derivative instruments include amounts related to underwriting activities where an insurance or reinsurance contract meets the accounting definition of a derivative instrument. For such contracts, changes in fair value are reflected in “Other underwriting income” in the consolidated statements of income as the underlying contract originates from the Company’s underwriting operations. For the periods ended 2023, 2022, and 2021, the Company did not designate any derivative instruments as hedges under the relevant accounting guidance. See note 11, “Derivative Instruments” for additional information.
(j) Reserves for Losses and Loss Adjustment Expenses
Insurance and Reinsurance. The reserve for losses and loss adjustment expenses consists of estimates of unpaid reported losses and loss adjustment expenses and estimates for losses incurred but not reported. The reserve for unpaid reported losses and loss adjustment expenses, established by management based on reports from ceding companies and claims from insureds, excludes estimates of amounts related to losses under high deductible policies, and represents the estimated ultimate cost of events or conditions that have been reported to or specifically identified by the Company. Such reserves are supplemented by management’s estimates of reserves for losses incurred for which reports or claims have not been received. The Company’s reserves are based on a combination of reserving methods, incorporating both Company and industry loss development patterns. The Company selects the initial expected loss and loss adjustment expense ratios based on information derived by its underwriters and actuaries during the initial pricing of the business, supplemented by industry data where appropriate. Such ratios consider, among other things, rate changes and

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changes in terms and conditions that have been observed in the market. These estimates are reviewed regularly and, as experience develops and new information becomes known, the reserves are adjusted as necessary. Such adjustments, if any, are reflected in income in the period in which they are determined. As actual loss information has been reported, the Company has developed its own loss experience and its reserving methods include other actuarial techniques. Over time, such techniques have been given further weight in its reserving process based on the continuing maturation of the Company’s reserves. Inherent in the estimates of ultimate losses and loss adjustment expenses are expected trends in claims severity and frequency and other factors which may vary significantly as claims are settled. Accordingly, ultimate losses and loss adjustment expenses may differ materially from the amounts recorded in the accompanying consolidated financial statements. Losses and loss adjustment expenses are recorded on an undiscounted basis, except for excess workers’ compensation and employers’ liability business written by the Company’s insurance operations.
Mortgage. The reserves for mortgage guaranty insurance losses and loss adjustment expenses are the estimated claim settlement costs on notices of delinquency that have been received by the Company, as well as loan delinquencies that have been incurred but have not been reported by the lenders. Consistent with primary mortgage insurance industry accounting practice, the Company does not establish loss reserves for future claims on insured loans that are not currently delinquent (defined as two or more payments in arrears). The Company establishes loss reserves on a case-by-case basis when insured loans are reported delinquent using estimated claim rates and average claim sizes for each cohort, net of any salvage recoverable. The Company also reserves for delinquencies that have occurred but have not yet been reported to the Company prior to the close of an accounting period. To determine this reserve, the Company estimates the number of delinquencies not yet reported using historical information regarding late reported delinquencies and applies estimated claim rates and claim sizes for the estimated delinquencies not yet reported.
The establishment of reserves across the Company’s segments is an inherently uncertain process, are necessarily based on estimates, and the ultimate net cost may vary from such estimates. The methods for making such estimates and for establishing the resulting liability are reviewed and updated using the most current information available. Any resulting adjustments, which may be material, are reflected in current operations.
(k) Contractholder Receivables and Payables and Collateral Held for Insured Obligations
Certain insurance policies written by the Company’s U.S. insurance operations feature large deductibles, primarily in its construction and national accounts line of business. Under such contracts, the Company is obligated to pay the claimant for the full amount of the claim. The Company is subsequently reimbursed by the policy holder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet as contractholder payables and contractholder receivables. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the policyholder to mitigate the Company’s credit risk. In the instances where the Company receives collateral in the form of cash, the Company reflects it in “Collateral held for insured obligations.”
Contractholder receivables are reported net of an allowance for expected credit losses. The allowance is based upon the Company’s ongoing review of amounts outstanding, changes in policyholder credit standing, amounts and form of collateral obtained, and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit losses. Any allowance for credit losses is charged to net realized gains (losses) in the period the receivable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
(l) Foreign Exchange
Assets and liabilities of foreign operations whose functional currency is not the U.S. Dollar are translated at the prevailing exchange rates at each balance sheet date. Revenues and expenses of such foreign operations are translated at average exchange rates during the year. The net effect of the translation adjustments for foreign operations is included in accumulated other comprehensive income, net of applicable deferred income tax. Monetary assets and liabilities, such as premiums receivable and the reserve for losses and loss adjustment expenses, denominated in foreign currencies are revalued at the exchange rate in effect at the balance sheet date with the resulting foreign exchange gains and losses included in net income. Accounts that are classified as non-monetary, such as deferred acquisition costs and the unearned premium reserves, are not revalued. In the case of foreign currency denominated fixed maturity securities which are classified as “available for sale,” the change in exchange rates between the local currency in which the investments are denominated and the Company’s functional currency at each balance sheet date is included in unrealized appreciation or

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decline in value of securities, a component of accumulated other comprehensive income, net of applicable deferred income tax.
(m) Income Taxes
Deferred income taxes reflect the expected future tax consequences of temporary differences between the carrying amounts of assets and liabilities for financial reporting purposes and amounts used for income tax purposes. A valuation allowance is recorded if it is more likely than not that some or all of a deferred income tax asset may not be realized. The Company considers future taxable income and feasible tax planning strategies in assessing the need for a valuation allowance. In the event the Company determines that it will not be able to realize all or part of its deferred income tax assets in the future, an adjustment to the deferred income tax assets would be charged to income in the period in which such determination is made. In addition, if the Company subsequently assesses that the valuation allowance is no longer needed, a benefit would be recorded to income in the period in which such determination is made. See note 15, “Income Taxes” for additional information.
The Company recognizes a tax benefit where it concludes that it is more likely than not that the tax benefit will be sustained on audit by the taxing authority based solely on the technical merits of the associated tax position. If the recognition threshold is met, the Company recognizes a tax benefit measured at the largest amount of the tax benefit that, in the Company’s judgment, is greater than 50% likely to be realized. The Company records interest and penalties related to unrecognized tax benefits in the provision for income taxes.
On December 27, 2023 the Bermuda government enacted tax legislation referred to as the Corporate Income Tax Act 2023 (“Bermuda CIT Act”). The Bermuda CIT Act establishes a 15% corporate income tax, for in-scope businesses, for fiscal years beginning on or after January 1, 2025. The enacted legislation includes a provision referred to as the Economic Transition Adjustment, which requires Bermuda Constituent entities to establish tax basis in their assets and liabilities, excluding goodwill, based on fair value as of September 30, 2023. Fair value is defined as the price that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date. See note 15, “Income Taxes” for additional information regarding Company’s deferred income tax asset.
(n) Share-Based Payment Arrangements
The Company applies a fair value based measurement method in accounting for its share-based payment arrangements with eligible employees and directors. Compensation expense is estimated based on the fair value of the award at the grant date and is recognized in net income over the requisite service period with a corresponding increase in shareholders’ equity. No value is attributed to awards that employees forfeit because they fail to satisfy vesting conditions. The Company’s (i) time-based awards generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date and (ii) performance-based awards cliff vest after each three year performance period based on achievement of the specified performance criteria. The share-based compensation expense associated with awards that have graded vesting features and vest based on service conditions only is calculated on a straight-line basis over the requisite service period for the entire award. Compensation expense recognized in connection with performance awards is based on the achievement of the specified performance and service conditions. The final measure of compensation expense recognized over the requisite service period reflects the final performance outcome. During the recognition period compensation expense is accrued based on the performance condition that is probable of achievement. For awards granted to retirement-eligible employees where no service is required for the employee to retain the award, the grant date fair value is immediately recognized as compensation expense at the grant date because the employee is able to retain the award without continuing to provide service. For employees near retirement eligibility, attribution of compensation cost is over the period from the grant date to the retirement eligibility date. These charges had no impact on the Company’s cash flows or total shareholders’ equity. See note 22, “Share-Based Compensation” for information relating to the Company’s share-based payment awards.
(o) Guaranty Fund and Other Related Assessments
Liabilities for guaranty fund and other related assessments in the Company’s insurance and reinsurance operations are accrued when the Company receives notice that an amount is payable, or earlier if a reasonable estimate of the assessment can be made.
(p) Treasury Shares
Treasury shares are common shares purchased by the Company and not subsequently canceled. These shares are recorded at cost and result in a reduction of the Company’s shareholders’ equity in its Consolidated Balance Sheets.

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(q) Goodwill and Intangible Assets
Goodwill represents the excess of the purchase price of business combination over the fair value of the net assets acquired and is assigned to the applicable reporting unit at acquisition. Goodwill is evaluated for impairment on an annual basis. Impairment tests may be performed more frequently if the facts and circumstances indicate a possible impairment. In performing impairment tests, the Company may first assess qualitative factors to determine whether it is more likely than not (that is, more than a 50% probability) that the fair value of a reporting unit exceeds its carrying amount as a basis for determining whether it is necessary to perform goodwill impairment test described in the accounting guidance.
Indefinite-lived intangible assets, such as insurance licenses are evaluated for impairment similar to goodwill. Finite-lived intangible assets and liabilities include the value of acquired insurance and reinsurance contracts, which are estimated based on the present value of future expected cash flows and amortized in proportion to the estimated profits expected to be realized. Other finite-lived intangible assets, including customer lists, trade name and IT platforms, are amortized over their useful lives. Finite-lived intangible assets and liabilities are periodically reviewed for indicators of impairment. An impairment is recognized when the carrying amount is not recoverable from its undiscounted cash flows and is measured as the difference between the carrying amount and fair value.
If goodwill or intangible assets are impaired, such assets are written down to their fair values with the related expense recorded in the Company’s results of operations.
(r) Investment in Operating Affiliates
Investment in operating affiliates primarily represent the Company’s investments in which it has significant influence and which are accounted for under the equity method of accounting. In applying the equity method of accounting, investments in operating affiliates are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of net income or loss of the operating affiliate. The Company records its proportionate share of other comprehensive income or loss of the operating affiliate as a component of other comprehensive income. Adjustments are based on the most recently available financial information from the operating affiliate. Changes in the carrying value of these investments are recorded in income (loss) from operating affiliates.
(s) Funds Held Arrangements
Funds held arrangements are agreements with a third party reinsurance company, where the reinsured retains the related assets on a funds held basis. Such amounts are included in “Other assets” on the Company’s balance sheet. Investment returns produced by those assets are recorded as part of net investment income and net realized gains (losses) in the Company's consolidated results of operations. Funds held as collateral by the Company are included in “Other liabilities” and changes to the funds held liability are reflected as part of interest expense in the Company’s consolidated results of operations.
(t) Recent Accounting Pronouncements
Recently Issued Accounting Standards Not Yet Adopted
ASU 2020-04, “Facilitation of the Effects of Reference Rate Reform on Financial Reporting,” was issued in March 2020 and amended in December 2022 with ASU 2022-06, “Reference Rate Reform (Topic 848)”. This ASU provides optional expedients and exceptions for applying GAAP to investments, derivatives, or other transactions that reference the London Interbank Offered Rate (“LIBOR”) or another reference rate expected to be discontinued because of reference rate reform. Along with the optional expedients, the amendments include a general principle that permits an entity to consider contract modifications due to reference reform to be an event that does not require contract re-measurement at the modification date or reassessment of a previous accounting determination. The amendment deferred the sunset date from December 31, 2022 to December 31, 2024. As a result, this standard can be adopted no later than December 31, 2024, with early adoption permitted. Based on its current analysis, the Company does not expect that the new guidance will have a material effect on the Company’s consolidated financial statements.
ASU 2023-07, “Segment Reporting – Improvements to Reportable Segments Disclosures,” was issued in November 2023. This ASU enhances disclosures of significant segment expenses by requiring to disclose significant segment expenses regularly provided to the chief operating decision maker (“CODM”), extend certain annual disclosures to interim periods, and permit more than one measure of segment profit or loss to be reported under certain conditions. The amendments are effective for the Company in fiscal years beginning after December 15, 2023, and interim periods within fiscal years beginning after December 15, 2024. Early adoption of the amendment is permitted, including adoption in any interim periods for which financial statements have not been issued. Based on its current analysis, the Company does not expect that the new guidance will have a material effect on the Company’s consolidated financial statements.

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ASU 2023-09, “Improvements to Income Tax Disclosures,” was issued in December 2023 with the stated purpose of enhancing the transparency and decision usefulness of income tax disclosures. The amendments in ASU 2023-09 address investor requests for enhanced income tax information primarily through changes to the rate reconciliation and income taxes paid information. While early adoption is permitted, a public entity should apply the amendments in ASU 2023-09 prospectively to all annual periods beginning after December 15, 2024. The Company is currently evaluating the impact of this standard on the Company’s consolidated financial statements and related disclosures.
4.    Segment Information
The Company classifies its businesses into three underwriting segments – insurance, reinsurance and mortgage – and two operating segments – corporate and ‘other.’ The Company determined its reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of the Company’s consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.
The Company’s insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to the Company’s chief operating decision makers, the Chief Executive Officer of Arch Capital, Chief Financial Officer and Treasurer of Arch Capital and the President and Chief Underwriting Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for its three underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income is not allocated to each underwriting segment.
The insurance segment consists of the Company’s insurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:
•    Construction and national accounts: primary and excess casualty coverages for middle market and large construction accounts, a comprehensive range of products for middle market accounts in specialty industries and casualty solutions for large national accounts, including loss sensitive primary insurance programs (large deductible, self-insured retention and retrospectively rated programs).
•    Excess and surplus casualty: primary and excess casualty insurance coverages written primarily on a non-admitted basis.
•    Professional lines: directors’ and officers’ liability, errors and omissions liability, employment practices liability, fiduciary liability, crime, professional indemnity and other financial related coverages for corporate, private equity, venture capital, real estate investment trust, limited partnership, financial institution and not-for-profit clients of all sizes, cyber insurance, and medical professional and general liability insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis.
•    Programs: primarily targeting program managers with unique expertise and niche products offering some combination of general liability, commercial automobile, property, inland marine, umbrella and workers’ compensation.
•    Property, energy, marine and aviation: primary and excess general property insurance coverages, including catastrophe-exposed property coverage, for commercial clients. Coverages for marine include hull, cargo, war, specie and liability. Aviation, stand-alone terrorism and political risks are also offered. Coverage may be provided for operational and construction risk.
•    Travel, accident and health: specialty travel and accident and related insurance products for individual, group travelers, travel agents and suppliers, as well as accident and health, which provides accident, disability and medical plan insurance coverages for employer groups, medical plan members, students and other participant groups.
•    Warranty and lenders solutions: collateral protection, debt cancellation and service contract reimbursement products to banks, credit unions, automotive dealerships and original equipment manufacturers and other specialty programs that pertain to automotive lending and leasing.
•    Other: includes alternative market risks (including captive insurance programs), excess workers’ compensation and employer’s liability insurance coverages for qualified self-insured groups, associations and trusts, and contract, commercial and transactional surety coverages.

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The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Reinsurance agreements are typically offered on a proportional and/or excess of loss basis and provide coverage to ceding company clients for specific underlying written policies. Product lines include:
Casualty: provides coverage on third party liability exposures including, among others, executive assurance, professional liability, excess and umbrella liability, excess motor and healthcare business, and workers’ compensation. Business is assumed primarily on a treaty basis, with some facultative coverages also offered.
Marine and aviation: provides coverage for energy, hull, cargo, specie, liability and transit, and aviation business, including airline and general aviation risks. Business written may also include space business, which includes coverages for satellite assembly, launch and operation for commercial space programs.
Other specialty: provides coverage for proportional motor reinsurance, whole account multi-line treaties, cyber, trade credit and surety, accident and health, workers’ compensation catastrophe, agriculture and political risk, among others.
Property catastrophe: provides protection for most types of catastrophic losses, including hurricane, earthquake, flood, tornado, hail and fire, and for other perils on a case-by-case basis. Excess of loss coverages are triggered when aggregate losses and loss adjustment expense from a single occurrence or aggregation of losses from a covered peril exceed the retention specified in the contract.
Property excluding property catastrophe: provides coverage for personal lines and/or commercial property exposures and principally covers buildings, structures, equipment and contents. The primary perils in this business include fire, explosion, collapse, riot, vandalism, wind, tornado, flood and earthquake. Business is assumed on either a treaty basis or facultative basis.
Other: primarily includes life reinsurance business.
The mortgage segment includes the Company’s underwriting units which offer mortgage insurance and reinsurance products on a worldwide basis. Underwriting units include:
U.S. primary mortgage insurance: offers private mortgage insurance through Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (combined “Arch MI U.S.”), both approved eligible mortgage insurers by Fannie Mae and Freddie Mac. Arch MI U.S. also includes AMG, which is not a government sponsored enterprise (“GSE”) approved entity.
U.S. credit risk transfer (“CRT”) and other: underwrites CRT transactions, which are predominantly with GSEs, and other U.S. reinsurance transactions.
International mortgage insurance/reinsurance: underwrites mortgage insurance and reinsurance outside of the U.S.
The corporate segment results include net investment income, net realized gains or losses (which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments and changes in the allowance for credit losses on financial assets), equity in net income or loss of investment funds accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes items, income or loss from operating affiliates and items related to the Company’s non cumulative preferred shares.
Through June 30, 2021, the ‘other’ segment included the results of Somers. In July 2021, the Company announced the completion of the previously disclosed acquisition of Somers by Greysbridge. Based on the governing documents of Greysbridge, the Company has concluded that, while it retains significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, Arch no longer consolidates the results of Somers in its consolidated financial statements. See note 12, “Variable Interest Entity and Noncontrolling Interests.”

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The following tables summarize the Company’s underwriting income or loss by segment, together with a reconciliation of underwriting income or loss to net income available to Arch common shareholders, summary information regarding net premiums written and earned by major line of business and net premiums written by location:
Year Ended December 31, 2023
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$7,911 $9,113 $1,387 $18,403 $ $18,403 
Premiums ceded (1)(2,049)(2,559)(335)(4,935) (4,935)
Net premiums written5,862 6,554 1,052 13,468  13,468 
Change in unearned premiums(416)(718)106 (1,028) (1,028)
Net premiums earned5,446 5,836 1,158 12,440  12,440 
Other underwriting income 17 14 31  31 
Losses and loss adjustment expenses(3,122)(3,227)103 (6,246) (6,246)
Acquisition expenses(1,055)(1,240)(17)(2,312) (2,312)
Other operating expenses(819)(288)(194)(1,301) (1,301)
Underwriting income$450 $1,098 $1,064 2,612  2,612 
Net investment income1,023  1,023 
Net realized gains (losses)(165) (165)
Equity in net income (loss) of investments accounted for using the equity method278  278 
Other income (loss)27  27 
Corporate expenses (96) (96)
Transaction costs and other(6) (6)
Amortization of intangible assets(95) (95)
Interest expense(133) (133)
Net foreign exchange gains (losses)(60) (60)
Income (loss) before income taxes and income (loss) from operating affiliates3,385  3,385 
Income tax (expense) benefit873  873 
Income (loss) from operating affiliates184  184 
Net income (loss)4,442  4,442 
Amounts attributable to redeemable noncontrolling interests1  1 
Net income (loss) available to Arch4,443  4,443 
Preferred dividends(40) (40)
Net income (loss) available to Arch common shareholders$4,403 $ $4,403 
Underwriting Ratios
Loss ratio57.3 %55.3 %-8.9 %50.2 % %50.2 %
Acquisition expense ratio19.4 %21.2 %1.4 %18.6 % %18.6 %
Other operating expense ratio15.0 %4.9 %16.8 %10.5 % %10.5 %
Combined ratio91.7 %81.4 %9.3 %79.3 % %79.3 %
Goodwill and intangible assets$224 $130 $377 $731 $ $731 
Total investable assets$34,589 $ $34,589 
Total assets58,906  58,906 
Total liabilities40,551  40,551 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.


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Year Ended December 31, 2022
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$6,931 $6,948 $1,455 $15,327 $ $15,327 
Premiums ceded (1)(1,910)(2,024)(322)(4,249) (4,249)
Net premiums written5,021 4,924 1,133 11,078  11,078 
Change in unearned premiums(461)(965)27 (1,399) (1,399)
Net premiums earned4,560 3,959 1,160 9,679  9,679 
Other underwriting income 5 8 13  13 
Losses and loss adjustment expenses(2,784)(2,568)324 (5,028) (5,028)
Acquisition expenses, net(887)(813)(40)(1,740) (1,740)
Other operating expenses(665)(268)(195)(1,128) (1,128)
Underwriting income (loss)$224 $315 $1,257 1,796  1,796 
Net investment income496  496 
Net realized gains (losses)(663) (663)
Equity in net income (loss) of investments accounted for using the equity method115  115 
Other income (loss)(27) (27)
Corporate expenses(95) (95)
Transaction costs and other   
Amortization of intangible assets(106) (106)
Interest expense(131) (131)
Net foreign exchange gains (losses)102  102 
Income (loss) before income taxes and income (loss) from operating affiliates1,487  1,487 
Income tax (expense) benefit(80) (80)
Income (loss) from operating affiliates75  75 
Net income (loss)1,482  1,482 
Amounts attributable to redeemable noncontrolling interests(6) (6)
Net income (loss) available to Arch1,476  1,476 
Preferred dividends(40) (40)
Net income (loss) available to Arch common shareholders$1,436 $ $1,436 
Underwriting Ratios
Loss ratio61.0 %64.9 %-28.0 %51.9 % %51.9 %
Acquisition expense ratio19.4 %20.5 %3.5 %18.0 % %18.0 %
Other operating expense ratio14.6 %6.8 %16.8 %11.7 % %11.7 %
Combined ratio95.0 %92.2 %-7.7 %81.6 % %81.6 %
Goodwill and intangible assets$229 $145 $430 $804 $ $804 
Total investable assets$28,065 $ $28,065 
Total assets47,990  47,990 
Total liabilities35,069  35,069 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.


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Year Ended December 31, 2021
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$5,868 $5,094 $1,508 $12,463 $458 $12,752 
Premiums ceded (1)(1,719)(1,840)(247)(3,799)(105)(3,735)
Net premiums written4,149 3,254 1,261 8,664 353 9,017 
Change in unearned premiums(524)(413)22 (915)(20)(935)
Net premiums earned3,625 2,841 1,283 7,749 333 8,082 
Other underwriting income 3 18 21  21 
Losses and loss adjustment expenses(2,345)(1,925)(57)(4,327)(258)(4,585)
Acquisition expenses, net(606)(537)(97)(1,240)(63)(1,303)
Other operating expenses(559)(214)(193)(966)(33)(999)
Underwriting income (loss)$115 $168 $954 1,237 (21)1,216 
Net investment income347 42 389 
Net realized gains (losses)299 81 380 
Equity in net income (loss) of investments accounted for using the equity method366  366 
Other income (loss)10  10 
Corporate expenses(76) (76)
Transaction costs and other(1)(1)(2)
Amortization of intangible assets(81)(1)(82)
Interest expense(131)(8)(139)
Net foreign exchange gains (losses)42 (1)41 
Income (loss) before income taxes and income (loss) from operating affiliates2,012 91 2,103 
Income tax (expense) benefit(128) (128)
Income (loss) from operating affiliates264  264 
Net income2,148 91 2,239 
Amounts attributable to redeemable noncontrolling interests(2)(2)(4)
Amounts attributable to nonredeemable noncontrolling interests (78)(78)
Net income (loss) available to Arch2,148 9 2,157 
Preferred dividends(48) (48)
Loss on redemption of preferred shares(15) (15)
Net income (loss) available to Arch common shareholders$2,085 $9 $2,094 
Underwriting Ratios
Loss ratio64.6 %67.8 %4.4 %55.8 %78.0 %56.7 %
Acquisition expense ratio16.7 %18.9 %7.6 %16.0 %18.9 %16.1 %
Other operating expense ratio15.4 %7.5 %15.1 %12.5 %9.9 %12.4 %
Combined ratio96.7 %94.2 %27.1 %84.3 %106.8 %85.2 %
Goodwill and intangible assets$256 $184 $505 $945 $ $945 
Total investable assets$27,442 $ $27,442 
Total assets45,101  45,101 
Total liabilities31,546  31,546 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.


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The following tables provide summary information regarding net premiums earned by major line of business and net premiums written by underwriting location:
INSURANCE SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Professional lines$1,419 $1,314 $943 
Property, energy, marine and aviation1,064772668
Programs658590507
Construction and national accounts561432417
Travel, accident and health557492256
Excess and surplus casualty486393318
Warranty and lenders solutions185128153
Other 516439363
Total$5,446 $4,560 $3,625 
Net premiums written by underwriting location (1)
United States$3,780 $3,342 $2,812 
Europe1,7741,4051,126
Other308 274 211 
Total$5,862 $5,021 $4,149 
REINSURANCE SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Other specialty$2,097 $1,378 $819 
Property excluding property catastrophe1,6451,090838
Casualty1,005855667
Property catastrophe742367280
Marine and aviation229159153
Other11811084
Total$5,836 $3,959 $2,841 
Net premiums written by underwriting location (1)
United States$1,756 $1,247 $829 
Bermuda3,2882,5611,555 
Europe and other1,5101,116870 
Total$6,554 $4,924 $3,254 
MORTGAGE SEGMENTYear Ended December 31,
202320222021
Net premiums earned
U.S. primary mortgage insurance$759 $804 $953 
U.S. credit risk transfer (CRT) and other220196181
International mortgage insurance/reinsurance179160149
Total$1,158 $1,160 $1,283 
Net premiums written by underwriting location
United States$743 $781 $913 
Other309 352 348 
Total$1,052 $1,133 $1,261 

(1)    Segment results include intersegment transactions.

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OTHER SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Casualty $ $ $138 
Other specialty  118 
Property catastrophe  15 
Property excluding property catastrophe  7 
Marine and aviation   
Other   55 
Total$ $ $333 
Net premiums written by underwriting location (1)
United States$ $ $63 
Europe  91 
Bermuda  199 
Total$ $ $353 
(1)    Segment results include intersegment transactions.

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5.    Reserve for Losses and Loss Adjustment Expenses
The following table represents an analysis of losses and loss adjustment expenses and a reconciliation of the beginning and ending reserve for losses and loss adjustment expenses:
Year Ended December 31,
202320222021
Reserve for losses and loss adjustment expenses at beginning of year$20,032 $17,757 $16,514 
Unpaid losses and loss adjustment expenses recoverable6,280 5,599 4,315 
Net reserve for losses and loss adjustment expenses at beginning of year13,752 12,158 12,199 
Net incurred losses and loss adjustment expenses relating to losses occurring in:
Current year6,784 5,797 4,940 
Prior years(538)(769)(355)
Total net incurred losses and loss adjustment expenses6,246 5,028 4,585 
Net losses and loss adjustment expense reserves of acquired business (1)  104 
Retroactive reinsurance transactions (2)  (444)
Impact of deconsolidation of Somers (3)  (1,461)
Foreign exchange (gains) losses and other157 (293)2 
Net paid losses and loss adjustment expenses relating to losses occurring in:
Current year(1,081)(888)(734)
Prior years(3,012)(2,253)(2,093)
Total net paid losses and loss adjustment expenses(4,093)(3,141)(2,827)
Net reserve for losses and loss adjustment expenses at end of year16,062 13,752 12,158 
Unpaid losses and loss adjustment expenses recoverable6,690 6,280 5,599 
Reserve for losses and loss adjustment expenses at end of year$22,752 $20,032 $17,757 
(1)    Represents activity related to the Company’s acquisitions in the 2021 period. See note 2, “Acquisitions.”
(2)    See ‘Retroactive Reinsurance Transactions’ section.
Development on Prior Year Loss Reserves
Year Ended December 31, 2023
During 2023, the Company recorded estimated net favorable development on prior year loss reserves of $538 million, which consisted of net favorable development of $42 million from the insurance segment, $152 million from the reinsurance segment and $344 million from the mortgage segment.
The insurance segment’s net favorable development of $42 million, or 0.8 points of net earned premium, consisted of $107 million of net favorable development in short and long-tailed lines partially offset by $65 million of net adverse development from medium-tailed lines. Net favorable development in short-tailed lines reflected $32 million of favorable development in property (excluding marine), primarily from the 2022 accident year (i.e., the year in which a loss occurred), $22 million of favorable development related to warranty and lenders solutions business, primarily
from the 2022 accident year, and $15 million of favorable development related to travel and accident business, primarily from the 2020 and 2022 accident years. Net favorable development in long-tailed lines included $28 million of favorable development in executive assurance business, primarily from the 2019 and 2021 accident years, and $17 million of favorable development in alternative markets business, primarily from the 2021 and prior accident years. Such amounts were partially offset by $6 million of net adverse development in construction and national accounts, primarily from the 2020 to 2022 accident years. Net adverse development in medium-tailed lines reflected $50 million of adverse development in professional liability business, primarily from the 2017 to 2020 accident years, and $21 million of adverse development in contract binding business, primarily from 2020 and prior accident years, partially offset by $12 million of favorable development in marine business, primarily from the 2020 and 2021 accident years.

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The reinsurance segment’s net favorable development of $152 million, or 2.6 points of net earned premium, consisted of $202 million of net favorable development from short and medium-tailed lines, partially offset by $50 million of net adverse development from long-tailed lines. Net favorable development in short-tailed lines reflected $93 million of favorable development from property other than property catastrophe business, primarily from the 2020 to 2022 underwriting years (i.e., all premiums and losses attributable to contracts having an inception or renewal date within the given twelve-month period), $51 million of favorable development from property catastrophe business, primarily from the 2019 to 2022 underwriting years, $35 million from other specialty business, primarily from the 2021 underwriting year, and $13 million of favorable development from other lines of business, primarily from the 2020 underwriting year. Net favorable development in medium-tailed lines reflected $9 million from marine and aviation business, primarily from 2021 and prior underwriting years. Net adverse development in long-tailed lines primarily reflected $46 million from casualty business, primarily from the 2013 to 2020 underwriting years.
The mortgage segment net favorable development was $344 million, or 29.7 points, for the 2023 period, with the largest contributor being reserve releases associated with the U.S. first lien portfolio from the 2020 to 2022 accident years. The Company’s credit risk transfer and international businesses also contributed to the favorable development.
Year Ended December 31, 2022
During 2022, the Company recorded estimated net favorable development on prior year loss reserves of $769 million, which consisted of net favorable development of $25 million from the insurance segment, $190 million from the reinsurance segment and $554 million from the mortgage segment.
The insurance segment’s net favorable development of $25 million, or 0.6 points of net earned premium, consisted of $55 million of net favorable development in short-tailed lines partially offset by $30 million of net adverse development from medium-tailed and long-tailed lines. Net favorable development in short-tailed lines reflected $37 million of favorable development in warranty and lenders solutions, primarily from the 2021 accident year, and $15 million of favorable development related to travel and accident business, primarily from the 2020 and 2021 accident years. Net adverse development in medium-tailed lines reflected $25 million of adverse development in professional liability business, primarily from the 2013 to 2015 and 2018 to 2020 accident years, and $6 million of adverse development in contract binding business, across most accident years, partially offset by $13 million of favorable development in marine business, across most accident years.
Net adverse development in long-tail lines reflected $19 million of adverse development related to casualty business, primarily from the 2020 and 2021 accident years, and $7 million of adverse development on construction and national accounts, primarily from the 2017, 2020 and 2021 accident years. This is partially offset by $22 million of favorable development in other business, including alternative markets and excess workers’ compensation, primarily from the 2019 and prior accident years.
The reinsurance segment’s net favorable development of $190 million, or 4.8 points of net earned premium, consisted of $196 million of net favorable development from short-tailed and medium-tailed lines, partially offset by $5 million of net adverse development from long-tailed lines. Net favorable development in short-tailed lines reflected $109 million of favorable development from property other than property catastrophe business, primarily from the 2018 to 2021 underwriting years, $24 million of favorable development from property catastrophe business, primarily from the 2018 to 2020 underwriting years, and $35 million from other specialty business, primarily from the 2016 and 2021 underwriting years. Net favorable development in medium-tailed lines reflected $28 million in marine and aviation lines, across most underwriting years. Net adverse development in long-tailed lines primarily reflected $5 million in casualty, spread across many prior underwriting years.
The mortgage segment experienced net favorable development of $554 million, or 47.8 points of net earned premium, with the majority of reserve releases being on COVID-related delinquencies associated with the U.S. first lien portfolio from the 2020 and 2021 accident years. The Company’s credit risk transfer, international, second lien and student loan businesses also contributed to the favorable development.
Year Ended December 31, 2021
During 2021, the Company recorded estimated net favorable development on prior year loss reserves of $355 million, which consisted of net favorable development of $16 million from the insurance segment, $179 million from the reinsurance segment, $170 million from the mortgage segment, partially offset by $8 million of adverse development from the ‘other’ segment (activity prior to the deconsolidation of Somers).
The insurance segment’s net favorable development of $16 million, or 0.4 points of net earned premium, consisted of $110 million of net favorable development in short-tailed and long-tailed lines mostly offset by $94 million of net adverse development from medium-tailed lines. Net favorable development of $82 million in short-tailed lines reflected $39 million of favorable development from property

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(excluding marine), primarily from the 2018 to 2020 accident years, $27 million of favorable development in warranty and lenders solutions, primarily from the 2020 accident year, and $16 million of favorable development on travel and accident, primarily from the 2016 to 2020 accident years. Net favorable development of $28 million in long-tailed lines reflected favorable development in construction, national accounts and alternative markets, primarily from the 2016 to 2019 accident years, partially offset by adverse development in executive assurance, primarily from the 2015, 2017 and 2018 accident years. Net adverse development in medium-tailed lines reflected $58 million of adverse development in contract binding, primarily from the 2013 to 2019 accident years and $31 million of adverse development in professional liability, primarily from the 2018 to 2020 accident years.
The reinsurance segment’s net favorable development of $179 million, or 6.3 points of net earned premium, consisted of $184 million of net favorable development from short-tailed and medium-tailed lines, partially offset by $5 million of net adverse development from long-tailed lines. Net favorable development of $176 million in short-tailed lines reflected $123 million from other specialty lines, primarily from the 2014 to 2019 underwriting years, and $89 million of favorable development from property other than property catastrophe business, primarily from the 2015 to 2020 underwriting years. Such amounts were partially offset by adverse development of $36 million from property catastrophe, primarily from the 2020 underwriting year. Adverse development in long-tailed lines reflected an increase in casualty, primarily from the 2018 underwriting year.
The mortgage segment experienced net favorable development of $170 million, or 13.2 points of net earned premium. Approximately a third of this development came from the U.S. first lien portfolio, which benefited from improving economic conditions and rising home prices, resulting in reduced claim rate assumptions primarily associated with pre-pandemic delinquencies. Various vintage CRT contracts also experienced similar effects and contributed to the favorable development, including the effect of contracts called by the GSEs. Subrogation recoveries on second lien and student loan business and international business also contributed to the favorable development.
Retroactive Reinsurance Transactions
In 2021, the Company entered into a retroactive reinsurance transaction with third party reinsurer to reinsure run-off liabilities associated with certain U.S. insurance exposures.
In 2021, the Company entered into a reinsurance to close with the related party, in connection with the 2018 and prior years of account for certain London syndicate business. See note 16, “Transactions with Related Parties”.
6.    Short Duration Contracts
The Company’s reserves for losses and loss adjustment expenses primarily relate to short-duration contracts with various characteristics (e.g., type of coverage, geography, claims duration). The Company considered such information in determining the level of disaggregation for disclosures related to its short-duration contracts, as detailed in the table below:
Reportable segmentLevel of disaggregationIncluded lines of business
InsuranceProperty energy, marine and aviationProperty energy, marine and aviation
Third party occurrence business
Excess and surplus casualty (excluding contract binding); construction and national accounts; and other (including alternative market risks, excess workers’ compensation and employer’s liability insurance coverages)
Third party claims-made businessProfessional lines
Multi-line and other specialty
Programs; contract binding (part of excess and surplus casualty); travel, accident and health; warranty and lenders solutions; and other (contract and commercial surety coverages)
ReinsuranceCasualtyCasualty
Property catastropheProperty catastrophe
Property excluding property catastropheProperty excluding property catastrophe
Marine and aviationMarine and aviation
Other specialtyOther specialty
MortgageDirect mortgage insurance in the U.S.Mortgage insurance on U.S. primary exposures
The Company determined the following to be insignificant for disclosure purposes: (i) certain mortgage business, including non-U.S. primary business, second lien and student loan exposures, global mortgage reinsurance and participation in various GSE credit risk-sharing products and (ii) certain reinsurance business, including casualty clash and non-traditional lines. Such amounts are included as reconciling items.
The Company is required to establish reserves for losses and loss adjustment expenses (“Loss Reserves”) that arise from the business the Company underwrites. Loss Reserves for the insurance, reinsurance and mortgage segments represent estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial.

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Insurance Segment
Loss Reserves for the insurance segment are comprised of estimated amounts for (1) reported losses (“case reserves”) and (2) incurred but not reported losses (“IBNR reserves”). Generally, claims personnel determine whether to establish a case reserve for the estimated amount of the ultimate settlement of individual claims. The estimate reflects the judgment of claims personnel based on general corporate reserving practices, the experience and knowledge of such personnel regarding the nature and value of the specific type of claim and, where appropriate, advice of counsel. The Company also contracts with a number of outside third party administrators in the claims process who, in certain cases, have limited authority to establish case reserves. The work of such administrators is reviewed and monitored by our claims personnel. Loss Reserves are also established to provide for loss adjustment expenses and represent the estimated expense of settling claims, including legal and other fees and the general expenses of administering the claims adjustment process. Periodically, adjustments to the case reserves may be made as additional information is reported or payments are made. IBNR reserves are established to provide for incurred claims which have not yet been reported at the balance sheet date as well as to adjust for any projected variance in case reserving. Actuaries estimate ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Like case reserves, IBNR reserves are adjusted as additional information becomes known or payments are made. The process of estimating reserves involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain.
Ultimate losses and loss adjustment expenses are generally determined by projection of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future. In forecasting ultimate losses and loss adjustment expenses with respect to any line of business, past experience with respect to that line of business is the primary resource, developed through both industry and company experience, but cannot be relied upon in isolation. Uncertainties in estimating ultimate losses and loss adjustment expenses are magnified by the length of the time lag between when a claim actually occurs and when it is reported and settled. This time lag is sometimes referred to as the “claim-tail.” During this period additional facts regarding coverages written in prior accident years, as well as about actual claims and trends, may become known and, as a result, may lead to adjustments of the related Loss Reserves. If the Company determines that an adjustment is appropriate, the adjustment is recorded in the accounting period in which such determination is made. Accordingly, should Loss Reserves need to be increased or decreased in the future from amounts currently established, future results of operations would be negatively or positively impacted respectively. The
Company authorizes managing general agents, general agents and other producers to write program business on the Company’s behalf within prescribed underwriting authorities. This delegated authority process introduces additional complexity to the actuarial determination of unpaid future losses and loss adjustment expenses. In order to monitor adherence to the underwriting guidelines given to such parties, the Company periodically performs underwriting and claims due diligence reviews.
In determining ultimate losses and loss adjustment expenses, the cost to indemnify claimants, provide needed legal defense and other services for insureds and administer the investigation and adjustment of claims are considered. These claim costs are influenced by many factors that change over time, such as expanded coverage definitions as a result of new court decisions, inflation in costs to repair or replace damaged property, inflation in the cost of medical services and legislated changes in statutory benefits, as well as by the particular, unique facts that pertain to each claim. As a result, the rate at which claims arose in the past and the costs to settle them may not always be representative of what will occur in the future. The factors influencing changes in claim costs are often difficult to isolate or quantify and developments in paid and incurred losses from historical trends are frequently subject to multiple and conflicting interpretations. Changes in coverage terms or claims handling practices may also cause future experience and/or development patterns to vary from the past. A key objective of actuaries in developing estimates of ultimate losses and loss adjustment expenses, and resulting IBNR reserves, is to identify aberrations and systemic changes occurring within historical experience and adjust for them so that the future can be projected more reliably. Because of the factors previously discussed, this process requires the substantial use of informed judgment and is inherently uncertain.
Although Loss Reserves are initially determined based on underwriting and pricing analyses, the Company’s insurance segment applies several generally accepted actuarial methods, as discussed below, on a quarterly basis to evaluate the Loss Reserves, in addition to the expected loss method, in particular for Loss Reserves from more mature accident years (the year in which a loss occurred). Each quarter, as part of the reserving process, the segments’ actuaries reaffirm that the assumptions used in the reserving process continue to form a sound basis for the projection of liabilities. If actual loss activity differs substantially from expectations based on historical information, an adjustment to Loss Reserves may be supported. The Company places more or less reliance on a particular actuarial method based on the facts and circumstances at the time the estimates of Loss Reserves are made.

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These methods generally fall into one of the following categories or are hybrids of one or more of the following categories:
Expected loss methods - these methods are based on the assumption that ultimate losses vary proportionately with premiums. Expected loss and loss adjustment expense ratios are typically developed based upon the information derived by underwriters and actuaries during the initial pricing of the business, supplemented by industry data available from organizations, such as statistical bureaus and consulting firms, where appropriate. These ratios consider, among other things, rate increases and changes in terms and conditions that have been observed in the market. Expected loss methods are useful for estimating ultimate losses and loss adjustment expenses in the early years of long-tailed lines of business, when little or no paid or incurred loss information is available, and is commonly applied when limited loss experience exists for a company.
Historical incurred loss development methods - these methods assume that the ratio of losses in one period to losses in an earlier period will remain constant in the future. These methods use incurred losses (i.e., the sum of cumulative historical loss payments plus outstanding case reserves) over discrete periods of time to estimate future losses. Historical incurred loss development methods may be preferable to historical paid loss development methods because they explicitly take into account open cases and the claims adjusters’ evaluations of the cost to settle all known claims. However, historical incurred loss development methods necessarily assume that case reserving practices are consistently applied over time. Therefore, when there have been significant changes in how case reserves are established, using incurred loss data to project ultimate losses may be less reliable than other methods.
Historical paid loss development methods - these methods, like historical incurred loss development methods, assume that the ratio of losses in one period to losses in an earlier period will remain constant. These methods use historical loss payments over discrete periods of time to estimate future losses and necessarily assume that factors that have affected paid losses in the past, such as inflation or the effects of litigation, will remain constant in the future. Because historical paid loss development methods do not use incurred losses to estimate ultimate losses, they may be more reliable than the other methods that use incurred losses in situations where there are significant changes in how incurred losses are established by a company’s claims adjusters. However, historical paid loss development methods are more leveraged (meaning that small changes in payments have a larger impact on estimates of ultimate losses) than
actuarial methods that use incurred losses because cumulative loss payments take much longer to equal the expected ultimate losses than cumulative incurred amounts. In addition, and for similar reasons, historical paid loss development methods are often slow to react to situations when new or different factors arise than those that have affected paid losses in the past.
Adjusted historical paid and incurred loss development methods - these methods take traditional historical paid and incurred loss development methods and adjust them for the estimated impact of changes from the past in factors such as inflation, the speed of claim payments or the adequacy of case reserves. Adjusted historical paid and incurred loss development methods are often more reliable methods of predicting ultimate losses in periods of significant change, provided the actuaries can develop methods to reasonably quantify the impact of changes. As such, these methods utilize more judgment than historical paid and incurred loss development methods.
Bornhuetter-Ferguson (“B-F”) paid and incurred loss methods - these methods utilize actual paid and incurred losses and expected patterns of paid and incurred losses, taking the initial expected ultimate losses into account to determine an estimate of expected ultimate losses. The B-F paid and incurred loss methods are useful when there are few reported claims and a relatively less stable pattern of reported losses.
Frequency-Severity methods - These methods utilize actual paid and incurred claim experience, but break the data down into its component pieces: claim counts, often expressed as a ratio to exposure or premium (frequency), and average claim size (severity). The component pieces are projected to an ultimate level and multiplied together to result in an estimate of ultimate loss. These methods are especially useful when the severity of claims can be confined to a relatively stable range of estimated ultimate average claim value.
Additional analyses - other methodologies are often used in the reserving process for specific types of claims or events, such as catastrophic or other specific major events. These include vendor catastrophe models, which are typically used in the estimation of Loss Reserves at the early stage of known catastrophic events before information has been reported to an insurer or reinsurer.
In the initial reserving process for short-tail insurance lines (consisting of property, energy, marine and aviation and other exposures including travel, accident and health, and warranty and lenders solutions), the Company relies on a combination of the reserving methods discussed above. For catastrophe-exposed business, the reserving process also includes the usage of catastrophe models for known events

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and a heavy reliance on analysis of individual catastrophic events and management judgment. The development of losses on short-tail business can be unstable, especially for policies characterized by high severity, low frequency losses. As time passes, for a given accident year, additional weight is given to the paid and incurred B-F loss development methods and eventually to the historical paid and incurred loss development methods in the reserving process. The Company makes a number of key assumptions in their reserving process, including that historical paid and reported development patterns are stable, catastrophe models provide useful information about our exposure to catastrophic events that have occurred and underwriters’ judgment as to potential loss exposures can be relied on. The expected loss ratios used in the initial reserving process for short-tail business have varied over time due to changes in pricing, reinsurance structure, estimates of catastrophe losses, policy changes (such as attachment points, class and limits) and geographical distribution. As losses in short-tail lines are reported relatively quickly, expected loss ratios are selected for the current accident year based upon actual attritional loss ratios for earlier accident years, adjusted for rate changes, inflation, changes in reinsurance programs and expected attritional losses based on modeling. Furthermore, ultimate losses for short-tail business are known in a reasonably short period of time.
In the initial reserving process for medium-tail and long-tail insurance lines (consisting of third party occurrence business, third party claims made business, and other exposures including surety, programs and contract binding exposures), the Company primarily relies on the expected loss method. The development of the Company’s medium-tail and long-tail business may be unstable, especially if there are high severity major events, as a portion of the Company’s casualty business is in high excess layers. As time passes, for a given accident year, additional weight is given to the paid and incurred B-F loss development methods and historical paid and incurred loss development methods in the reserving process. The Company makes a number of key assumptions
in reserving for medium-tail and long-tail lines, including that the pricing loss ratio is the best estimate of the ultimate loss ratio at the time the policy is entered into, that the loss development patterns, which are based on a combination of company and industry loss development patterns and adjusted to reflect differences in the insurance segment’s mix of business, are reasonable and that claims personnel and underwriters analyses of our exposure to major events are assumed to be the best estimate of exposure to the known claims on those events. The expected loss ratios used in the initial reserving process for medium-tail and long-tail business for recent accident years have varied over time, in some cases significantly, from earlier accident years. As the credibility of historical experience for earlier accident years increases, the experience from these accident years will be given a greater weighting in the actuarial analysis to determine future accident year expected loss ratios, adjusted for changes in pricing, loss trends, terms and conditions and reinsurance structure.
From time to time, the Company enters into loss portfolio transfer and adverse development cover reinsurance agreements accounted for as retroactive reinsurance. These agreements transfer Loss Reserves and future favorable or adverse development on certain runoff programs and certain third party occurrence business, within multi-line and other specialty business (the “Covered Lines”). As incurred losses and allocated loss adjustment expenses for the Covered Lines are ceded to the reinsurer, the Company is not exposed to changes in the amount, timing and uncertainty of cash flows arising from the Covered Lines. To avoid distortion, the incurred losses and allocated loss adjustment expenses and cumulative paid losses and loss adjustment expenses for the Covered Lines are excluded entirely from the tables below. Unpaid loss and loss adjustment expenses recoverable at December 31, 2023 included $225 million related to such reinsurance agreements.


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The following tables present information on the insurance segment’s short-duration insurance contracts:
Property, energy, marine and aviation (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$148 $146 $147 $136 $132 $134 $135 $135 $134 $133 $2 3,871 
2015112 110 104 102 98 92 92 91 89 2 4,530 
2016104 101 105 100 96 92 88 88  6,171 
2017281 246 236 230 231 225 225 1 6,475 
2018181 186 174 170 170 172 5 5,077 
2019179 179 165 161 159 (1)7,018 
2020359 329 336 333 9 8,212 
2021427 429 423 41 8,807 
2022522 495 74 13,274 
2023571 275 13,682 
Total$2,688 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$26 $54 $78 $84 $88 $98 $115 $122 $123 $125 
201524 65 76 86 88 86 87 88 86 
201625 83 98 97 95 91 87 87 
201730 140 196 212 216 218 220 
201830 102 135 143 150 154 
201926 105 134 139 148 
202056 194 251 293 
202190 268 343 
2022100 276 
2023146 
Total1,878 
All outstanding liabilities before 2014, net of reinsurance14 
Liabilities for losses and loss adjustment expenses, net of reinsurance$824 
Third party occurrence business (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$330 $336 $339 $343 $339 $344 $343 $343 $345 $344 $49 75,679 
2015359 392 399 392 391 382 386 379 377 66 78,689 
2016390 394 406 399 375 368 363 352 77 78,883 
2017417 418 422 412 407 406 405 100 84,687 
2018430 453 451 451 459 462 127 78,320 
2019456 487 481 471 470 154 86,139 
2020607 616 640 632 226 92,279 
2021622 663 659 290 92,672 
2022688 726 513 92,564 
2023877 750 72,833 
Total$5,304 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$9 $40 $71 $113 $162 $191 $211 $224 $237 $257 
201511 45 88 139 182 212 227 249 268 
201612 42 88 137 165 195 215 231 
201713 52 100 135 165 221 247 
201817 64 115 154 200 247 
201918 73 122 173 214 
202024 77 155 235 
202126 91 174 
202224 85 
202332 
Total1,990 
All outstanding liabilities before 2014, net of reinsurance287 
Liabilities for losses and loss adjustment expenses, net of reinsurance$3,601 

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Third party claims-made business (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$264 $279 $299 $279 $281 $297 $291 $288 $296 $287 $14 14,494 
2015259 277 276 260 255 252 268 267 274 13 13,932 
2016275 291 308 314 322 327 330 327 18 14,912 
2017270 286 312 308 323 317 338 48 15,473 
2018273 314 320 336 347 367 44 17,098 
2019289 317 317 322 330 66 15,879 
2020383 413 423 446 118 15,239 
2021515 518 499 254 16,323 
2022669 655 448 18,563 
2023811 641 20,494 
Total$4,334 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$14 $63 $129 $173 $207 $229 $243 $249 $260 $266 
20159 52 100 126 174 193 217 221 242 
201611 68 127 158 205 242 257 296 
20179 68 113 143 196 233 258 
201812 68 118 158 208 258 
201912 65 122 155 197 
202017 87 152 215 
202123 90 163 
202225 100 
202364 
Total2,059 
All outstanding liabilities before 2014, net of reinsurance77 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,352 
Multi-line and other specialty (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$302 $326 $318 $318 $317 $313 $310 $309 $311 $310 $4 148,702 
2015335 358 357 365 357 349 347 345 345 5 180,468 
2016409 431 428 416 410 408 409 406 7 192,955 
2017482 501 491 501 504 513 516 9 235,539 
2018512 565 563 565 565 565 14 260,995 
2019567 612 640 651 657 21 252,766 
2020618 569 515 517 44 166,357 
2021635 619 614 76 114,447 
2022678 642 157 143,264 
2023817 450 118,241 
Total$5,389 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$108 $197 $234 $267 $281 $292 $293 $295 $296 $297 
2015138 236 278 306 321 327 330 331 333 
2016176 305 342 363 379 385 390 392 
2017181 342 381 423 446 472 480 
2018212 389 443 480 509 527 
2019212 386 487 549 577 
2020172 309 359 406 
2021157 335 428 
2022177 371 
2023254 
Total4,065 
All outstanding liabilities before 2014, net of reinsurance24 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,348 


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The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2023:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Property, energy, marine and aviation
20.5 %43.7 %18.1 %6.0 %2.2 %1.0 %2.6 %1.9 %(0.4)%1.5 %
Third party occurrence business3.5 %9.4 %11.5 %11.4 %9.9 %9.8 %5.6 %4.6 %4.4 %5.6 %
Third party claims-made business
4.1 %15.5 %16.5 %11.1 %14.3 %10.1 %6.3 %5.2 %5.7 %2.0 %
Multi-line and other specialty34.0 %29.3 %11.3 %8.2 %4.5 %2.9 %1.1 %0.4 %0.4 %0.5 %
Reinsurance Segment
Loss Reserves for the Company’s reinsurance segment are comprised of (1) case reserves, (2) additional case reserves (“ACRs”) and (3) IBNR reserves. The Company receives reports of claims notices from ceding companies and records case reserves based upon the amount of reserves recommended by the ceding company. Case reserves may be supplemented by ACRs, which may be estimated by the Company’s claims personnel ahead of official notification from the ceding company, or when judgment regarding the size or severity of the known event differs from the ceding company. In certain instances, the Company establishes ACRs even when the ceding company does not report any liability on a known event. In addition, specific claim information reported by ceding companies or obtained through claim audits can alert the Company to emerging trends such as changing legal interpretations of coverage and liability, claims from unexpected sources or classes of business, and significant changes in the frequency or severity of individual claims. Such information is often used in the process of estimating IBNR reserves. IBNR reserves are established to provide for incurred claims which have not yet been reported at the balance sheet date as well as to adjust for any projected variance in case reserving. Actuaries estimate ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Like case reserves, IBNR reserves are adjusted as additional information becomes known or payments are made. The process of estimating Loss Reserves involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain.
The estimation of Loss Reserves for the reinsurance segment is subject to the same risk factors as the estimation of Loss Reserves for the insurance segment. In addition, the inherent uncertainties of estimating such reserves are even greater for reinsurers, due primarily to the following factors: (1) the claim-tail for reinsurers is generally longer because claims are first reported to the ceding company and then to the reinsurer through one or more intermediaries, (2) the reliance on premium estimates, where reports have not been received from the ceding company, in the reserving process, (3) the potential for writing a number of reinsurance contracts with different ceding companies with the same exposure to a single loss event, (4) the diversity of loss development
patterns among different types of reinsurance contracts, (5) the necessary reliance on the ceding companies for information regarding reported claims and (6) the differing reserving practices among ceding companies.
Ultimate losses and loss adjustment expenses are generally determined by projection of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future. As with the insurance segment, the process of estimating Loss Reserves for the reinsurance segment involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain. As discussed above, such uncertainty is greater for reinsurers compared to insurers. As a result, our reinsurance operations obtain information from numerous sources to assist in the process. Pricing actuaries from the reinsurance segment devote considerable effort to understanding and analyzing a ceding company’s operations and loss history during the underwriting of the business, using a combination of ceding company and industry statistics. Such statistics normally include historical premium and loss data by class of business, individual claim information for larger claims, distributions of insurance limits provided, loss reporting and payment patterns, and rate change history. This analysis is used to project expected loss ratios for each treaty during the upcoming contract period.
As mentioned above, there can be a considerable time lag from the time a claim is reported to a ceding company to the time it is reported to the reinsurer. The lag can be several years in some cases and may be attributed to a number of reasons, including the time it takes to investigate a claim, delays associated with the litigation process, the deterioration in a claimant’s physical condition many years after an accident occurs, the case reserving approach of the ceding company, etc. In the reserving process, the Company assumes that such lags are predictable, on average, over time and therefore the lags are contemplated in the loss reporting patterns used in their actuarial methods. This means that the reinsurance segment must rely on estimates for a longer period of time than does an insurance company. Backlogs in the recording of assumed reinsurance can also complicate the accuracy of loss reserve estimation. As of December 31, 2023 there were no significant backlogs related to the processing of assumed reinsurance information at our reinsurance operations.

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The reinsurance segment relies heavily on information reported by ceding companies, as discussed above. In order to determine the accuracy and completeness of such information, underwriters, actuaries, and claims personnel often perform audits of ceding companies and regularly review information received from ceding companies for unusual or unexpected results. Material findings are usually discussed with the ceding companies. The Company sometimes encounters situations where they determine that a claim presentation from a ceding company is not in accordance with contract terms. In these situations, the Company attempts to resolve the dispute with the ceding company. Most situations are resolved amicably and without the need for litigation or arbitration. However, in the infrequent situations where a resolution is not possible, the Company will vigorously defend its position in such disputes.
Although Loss Reserves are initially determined based on underwriting and pricing analysis, the Company applies several generally accepted actuarial methods, as discussed above, on a quarterly basis to evaluate its Loss Reserves in addition to the expected loss method, in particular for reserves from more mature underwriting years (the year in which business is underwritten). Each quarter, as part of the reserving process, the Company’s actuaries reaffirm that the assumptions used in the reserving process continue to form a sound basis for projection of liabilities. If actual loss activity differs substantially from expectations based on historical information, an adjustment to Loss Reserves may be supported. Estimated Loss Reserves for more mature underwriting years are now based more on actual loss activity and historical patterns than on the initial assumptions based on pricing indications. More recent underwriting years rely more heavily on internal pricing assumptions. The Company places more or less reliance on a particular actuarial method based on the facts and circumstances at the time the estimates of Loss Reserves are made.
In the initial reserving process for short-tail reinsurance lines (consisting of property excluding property catastrophe and property catastrophe exposures), the Company relies on a combination of the reserving methods discussed above. For known catastrophic events, the reserving process also includes the usage of catastrophe models and a heavy reliance on analysis which includes ceding company inquiries and management judgment. The development of property losses may be unstable, especially where there is high catastrophic exposure, may be characterized by high severity, low frequency losses for excess and catastrophe-exposed business and may be highly correlated across contracts. As time passes, for a given underwriting year, additional weight is given to the paid and incurred B-F loss development methods and historical paid and incurred loss development
methods in the reserving process. The Company makes a number of key assumptions in reserving for short-tail lines, including that historical paid and reported development patterns are stable, catastrophe models provide useful information about our exposure to catastrophic events that have occurred and our underwriters’ judgment and guidance received from ceding companies as to potential loss exposures may be relied on. The expected loss ratios used in the initial reserving process for property exposures have varied over time due to changes in pricing, reinsurance structure, estimates of catastrophe losses, terms and conditions and geographical distribution. As losses in property lines are reported relatively quickly, expected loss ratios are selected for the current underwriting year incorporating the experience for earlier underwriting years, adjusted for rate changes, inflation, changes in reinsurance programs, expectations about present and future market conditions and expected attritional losses based on modeling. Due to the short-tail nature of property business, reported loss experience emerges quickly and ultimate losses are known in a reasonably short period of time.
In the initial reserving process for medium-tail and long-tail reinsurance lines (consisting of casualty, other specialty, marine and aviation and other exposures), the Company primarily relies on the expected loss method. The development of medium-tail and long-tail business may be unstable, especially if there are high severity major events, with business written on an excess of loss basis typically having a longer tail than business written on a pro rata basis. As time passes, for a given underwriting year, additional weight is given to the paid and incurred B-F loss development methods and eventually to the historical paid and incurred loss development methods in the reserving process. Our reinsurance operations make a number of key assumptions in reserving for medium-tail and long-tail lines, including that the pricing loss ratio is the best estimate of the ultimate loss ratio at the time the contract is entered into, historical paid and reported development patterns are stable and claims personnel and underwriters’ analyses of our exposure to major events are our best estimate of our exposure to the known claims on those events. The expected loss ratios used in our reinsurance operations’ initial reserving process for medium-tail and long-tail contracts have varied over time due to changes in pricing, terms and conditions and reinsurance structure. As the credibility of historical experience for earlier underwriting years increases, the experience from these underwriting years is used in the actuarial analysis to determine future underwriting year expected loss ratios, adjusted for changes in pricing, loss trends, terms and conditions and reinsurance structure.

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The following tables present information on the reinsurance segment’s short-duration insurance contracts:
Casualty (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$215 $220 $217 $230 $227 $237 $237 $234 $234 $241 $33 N/A
2015220 219 228 235 239 246 249 251 260 44 N/A
2016212 224 247 262 269 268 272 281 45 N/A
2017267 254 270 297 309 316 330 53 N/A
2018276 289 281 286 298 308 50 N/A
2019330 341 367 379 400 84 N/A
2020382 371 354 372 163 N/A
2021439 434 425 205 N/A
2022547 527 390 N/A
2023657 568 N/A
Total$3,801 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$4 $16 $41 $63 $91 $114 $134 $145 $153 $160 
20154 20 47 71 96 120 137 152 170 
20166 26 52 87 113 132 157 172 
20176 30 64 113 137 164 189 
20188 31 106 129 155 182 
201916 58 97 130 219 
202018 50 90 132 
202115 53 102 
202218 61 
202318 
Total1,405 
All outstanding liabilities before 2014, net of reinsurance310 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,706 

Property catastrophe (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$44 $30 $25 $22 $20 $20 $19 $19 $19 $19 $ N/A
201533 18 12 6 4 3 3 3 3  N/A
201624 17 13 9 7 6 5 5 1 N/A
201786 54 50 36 24 21 22 (1)N/A
201871 49 30 17 8 5 3 N/A
201920 10 9 1 (7)2 N/A
2020269 333 337 326 17 N/A
2021314 308 294 13 N/A
2022303 295 41 N/A
2023267 76 N/A
Total$1,229 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$14 $20 $18 $19 $18 $19 $19 $19 $19 $19 
2015(3)(2)2 2 2 2 2 2 2 
2016(7)2 2 3 2 3 3 3 
201731 32 37 27 14 16 17 
201827 5 16 (13)(11)(9)
20194 7 11 (14)(13)
202056 158 207 249 
202165 171 222 
202270 169 
20239 
Total668 
All outstanding liabilities before 2014, net of reinsurance2 
Liabilities for losses and loss adjustment expenses, net of reinsurance$563 

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Property excluding property catastrophe (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$142 $117 $98 $90 $88 $84 $82 $80 $79 $79 $ N/A
2015214 188 184 188 187 176 173 167 167 4 N/A
2016175 145 137 135 139 136 130 130 6 N/A
2017268 250 237 230 214 206 202 7 N/A
2018224 239 235 212 202 203 7 N/A
2019216 206 195 190 190 3 N/A
2020368 340 320 320 15 N/A
2021545 497 491 38 N/A
2022742 668 119 N/A
2023835 414 N/A
Total$3,285 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$23 $62 $71 $76 $78 $78 $78 $78 $78 $78 
201575 119 149 160 165 159 159 159 160 
201633 94 98 104 111 114 115 115 
201728 125 156 164 179 182 186 
201830 108 152 167 175 177 
201943 124 150 162 169 
2020101 207 243 267 
2021136 270 364 
2022143 361 
2023152 
Total2,029 
All outstanding liabilities before 2014, net of reinsurance5 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,261 

Marine and aviation (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$31 $29 $27 $25 $23 $23 $22 $22 $19 $18 $ N/A
201533 37 32 31 30 28 27 25 24 1 N/A
201627 23 23 19 17 15 12 11 3 N/A
201729 26 24 21 20 17 15 3 N/A
201827 26 24 24 21 21 3 N/A
201948 55 60 61 62 9 N/A
202083 76 79 80 10 N/A
2021110 96 81 18 N/A
2022126 138 59 N/A
2023161 127 N/A
Total$611 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$4 $8 $11 $12 $15 $15 $16 $16 $17 $17 
2015 13 19 21 22 22 22 22 22 
2016(7)(2) 3 6 7 7 7 
20172 6 9 11 12 12 12 
20182 7 11 13 14 15 
201911 21 29 35 43 
20209 26 42 60 
20218 24 45 
202212 37 
202313 
Total271 
All outstanding liabilities before 2014, net of reinsurance17 
Liabilities for losses and loss adjustment expenses, net of reinsurance$357 

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Other specialty (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$337 $316 $318 $312 $307 $308 $304 $298 $296 $295 $1 N/A
2015280 278 276 273 273 270 259 258 255 3 N/A
2016326 323 316 307 314 309 306 307 6 N/A
2017398 390 372 372 370 366 363 15 N/A
2018416 409 404 428 424 423 29 N/A
2019427 406 400 395 405 40 N/A
2020593 524 519 539 61 N/A
2021610 611 613 80 N/A
2022953 935 225 N/A
20231,348 817 N/A
Total$5,483 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$96 $186 $229 $248 $258 $271 $275 $278 $280 $282 
201583 162 197 211 224 236 239 240 241 
2016108 205 242 261 277 283 289 293 
2017136 256 298 313 326 337 346 
2018130 276 315 336 353 376 
2019121 211 277 303 325 
2020134 293 370 405 
2021152 311 432 
2022182 464 
2023244 
Total3,408 
All outstanding liabilities before 2014, net of reinsurance19 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,094 
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2023:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Casualty
2.8 %7.7 %12.1 %10.4 %11.4 %8.5 %7.8 %5.3 %5.2 %2.9 %
Property catastrophe56.0 %(17.5)%47.2 %(41.9)%(6.2)%10.9 %2.4 %1.1 %(1.7)% %
Property excluding property catastrophe
25.0 %38.2 %14.2 %6.0 %4.4 %0.2 %0.7 %0.1 %0.4 %0.4 %
Marine and aviation
3.0 %28.8 %20.0 %13.0 %10.6 %3.4 %2.2 %1.0 %3.8 %0.4 %
Other specialty28.6 %29.9 %13.9 %5.7 %4.5 %3.9 %1.7 %0.9 %0.6 %1.0 %
Mortgage Segment
The Company’s mortgage segment includes (1) U.S. primary mortgage insurance (2) U.S. credit risk transfer and other, and (3) international mortgage insurance and reinsurance. The latter two categories along with second lien and student loan exposures are excluded on the basis of insignificance for the purposes of presenting disclosures related to short duration contracts.
For primary mortgage insurance business, the Company establishes case reserves for loans that have been reported as delinquent by loan servicers as well as those that are delinquent but not reported (IBNR reserves). The Company also reserves for the expenses of adjusting claims related to these delinquencies. The trigger that creates a case reserve estimate is that an insured loan is reported to us as being two payments in arrears. The actuarial reviews and
documentation created in the reserving process are completed in accordance with generally accepted actuarial standards. The selected assumptions reflect actuarial judgment based on the analysis of historical data and experience combined with information concerning current underwriting, economic, judicial, regulatory and other influences on ultimate claim settlements.
Because the reserving process requires the Company to forecast future conditions, it is inherently uncertain and requires significant judgment and estimation. The use of different estimates would result in the establishment of different reserve levels. Additionally, changes in estimates are likely to occur from period to period as economic conditions change, and the ultimate liability may vary significantly from the estimates used. Major risk factors include (but are not limited to) changes in home prices and borrower equity, which can limit the borrower’s ability to sell

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the property and satisfy the outstanding loan balance, and changes in unemployment, which can affect the borrower’s income and ability to make mortgage payments. The unique nature of the COVID-19 pandemic, with no historical precedent, adds further uncertainty to current reserve estimates.
The lead actuarial methodology used by the Company is a frequency-severity method based on the inventory of pending delinquencies. Each month the loan servicers report the delinquency status of each insured loan. Using the frequency-severity method allows the Company to take advantage of its knowledge of the number of delinquent loans and the coverage provided (“risk size”) on those loans by directly relating the reserves to these amounts. The delinquencies are grouped into homogeneous cohorts for analysis, reflecting the age of delinquency. A claim rate is then developed for each cohort which represents the frequency with which the delinquencies become claims. The claim frequency rates are based on an analysis of the patterns of emerging cure counts and claim counts, the foreclosure status of the pending delinquencies, the product and geographical mix of the delinquencies and our view of future economic and claim conditions, which include trends in home prices and unemployment. Claim rates can vary materially by age of delinquency, depending on the mix of delinquencies and economic conditions.
Claim size severity estimates are determined by examining the risk sizes on the delinquent loans and estimating the portion of risk that will be paid, as well as any expenses. This is done based on a review of historical development patterns, an assessment of economic conditions and the level of equity the borrowers may have in their homes, as well as considering economic conditions and loss mitigation opportunities. Mortgage insurance is generally not subject to large claim sizes, as with some other lines of insurance. A
claim size over $250,000 is rare, and this helps reduce the volatility of claim size estimates.
The claim rate and claim size assumptions generate case reserves for the population of reported delinquencies. The reserve for unreported delinquencies (included in IBNR reserves) is estimated by looking at historical patterns of reporting. Claim rates and claim sizes can then be assigned to estimated unreported delinquencies using assumptions made in the establishment of case reserves.
Mortgage insurance Loss Reserves are short-tail, in the sense that the vast majority of delinquencies are resolved within two years of being reported. Due to the forbearances and foreclosure moratoriums associated with COVID-19, settlement timelines have been extended. While reserves are initially analyzed by reserve cohort, as described above, they are also rolled up by underwriting year to ensure that reserve assumptions are consistent with the performance of the underwriting year. The accuracy of prior reserve assumptions is also checked in hindsight to determine if adjustments to the assumptions are needed.
Loss Reserves for the Company’s mortgage reinsurance business and GSE credit risk sharing transactions are comprised of case reserves and IBNR reserves. The Company’s mortgage reinsurance operations receive reports of delinquent loans and claims notices from ceding companies and record case reserves based upon the amount of reserves recommended by the ceding company. In addition, specific claim and delinquency information reported by ceding companies is used in the process of estimating IBNR reserves.


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The following table presents information on the mortgage segment’s short-duration insurance contracts:
U.S. primary mortgage insurance (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of paid claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$316 $297 $279 $266 $266 $261 $263 $263 $261 $259  6,332 
2015223 197 198 195 189 191 191 189 188  4,588 
2016184 171 149 141 142 142 137 136  3,462 
2017179 132 107 108 109 102 99  2,541 
2018132 96 89 88 72 69  1,763 
2019108 119 110 63 51  1,149 
2020420 374 78 33  492 
2021144 77 20  211 
2022173 55  135 
2023182 1 9 
Total$1,092 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
201420 129 202 234 247 254 256 257 257 258 
201516 92 151 171 180 183 184 185 186 
201611 72 113 127 131 132 132 133 
20179 48 79 87 90 92 93 
20184 31 50 56 59 60 
20193 20 29 34 39 
20201 4 8 13 
2021 2 5 
2022 3 
2023 
Total790 
All outstanding liabilities before 2014, net of reinsurance8 
Liabilities for losses and loss adjustment expenses, net of reinsurance$310 
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2023:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
U.S. Primary5.1 %29.1 %24.2 %10.7 %4.7 %1.8 %0.7 %0.5 %0.2 %0.1 %

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The following table represents a reconciliation of the disclosures of net incurred and paid loss development tables to the reserve for losses and loss adjustment expenses at December 31, 2023:
December 31, 2023
Net outstanding liabilities
Insurance
Property, energy, marine and aviation
$824 
Third party occurrence business
3,601 
Third party claims-made business
2,352 
Multi-line and other specialty
1,348 
Reinsurance
Casualty
2,706 
Property catastrophe
563 
Property excluding property catastrophe
1,261 
Marine and aviation
357 
Other specialty
2,094 
Mortgage
U.S. primary310 
Other short duration lines not included in disclosures 284 
Total for short duration lines15,700 
Unpaid losses and loss adjustment expenses recoverable
Insurance
Property, energy, marine and aviation
359 
Third party occurrence business
2,025 
Third party claims-made business
1,001 
Multi-line and other specialty
246 
Reinsurance
Casualty
738 
Property catastrophe
519 
Property excluding property catastrophe
239 
Marine and aviation
240 
Other specialty
828 
Mortgage
U.S. primary33 
Other short duration lines not included in disclosures (1)468 
Intercompany eliminations(6)
Total for short duration lines6,690 
Lines other than short duration132 
Discounting(66)
Unallocated claims adjustment expenses296 
362 
Reserve for losses and loss adjustment expenses$22,752 
(1)    Includes unpaid loss and loss adjustment expenses recoverable of $225 million related to the loss portfolio transfer reinsurance agreements.
7.    Allowance for Expected Credit Losses
Premiums Receivable
The following table provides a roll forward of the allowance for expected credit losses of the Company’s premium receivables:
Year Ended December 31, 2023Premium Receivables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$3,625 $35 
Change for provision of expected credit losses (1)(1)
Balance at end of period$4,644 $34 
Year Ended December 31, 2022
Balance at beginning of period$2,633 $40 
Change for provision of expected credit losses (1)(5)
Balance at end of period$3,625 $35 
(1) Amounts deemed uncollectible are written-off in operating expenses. For the 2023 and 2022 periods, amounts written off totaled $3 million and $11 million, respectively.
Reinsurance Recoverables
The Company monitors the financial condition of its reinsurers and attempts to place coverages only with substantial, financially sound carriers. Although the Company has not experienced any material credit losses to date, an inability of its reinsurers or retrocessionaires to meet their obligations to it over the relevant exposure periods for any reason could have a material adverse effect on its financial condition and results of operations.
The following table provides a roll forward of the allowance for expected credit losses of the Company’s reinsurance recoverables:
Year Ended December 31, 2023Reinsurance Recoverables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$6,564 $22 
Change for provision of expected credit losses(1)
Balance at end of period$7,064 $21 
Year Ended December 31, 2022
Balance at beginning of period$5,881 $13 
Change for provision of expected credit losses9 
Balance at end of period6,564 $22 


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The following table summarizes the Company’s reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) at December 31, 2023 and 2022:
December 31,
20232022
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses$7,064$6,564
% due from carriers with A.M. Best rating of “A-” or better66.8 %68.8 %
% due from all other rated carriers0.1 %0.1 %
% due from all other carriers with no A.M. Best rating (1)33.1 %31.1 %
Largest balance due from any one carrier as % of total shareholders’ equity7.2 %9.0 %
(1)    At December 31, 2023 and 2022 period, over 95% of such amount were collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other, respectively.
Contractholder Receivables
The following table provides a roll forward of the allowance for expected credit losses of the Company’s contractholder receivables:
Year Ended December 31, 2023Contractholder Receivables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$1,731 $3 
Change for provision of expected credit losses 
Balance at end of period$1,814 $3 
Year Ended December 31, 2022
Balance at beginning of period$1,829 $3 
Change for provision of expected credit losses 
Balance at end of period1,731 $3 

8.    Reinsurance
In the normal course of business, the Company’s insurance subsidiaries cede a portion of their premium through pro rata and excess of loss reinsurance agreements on a treaty or facultative basis to third parties. The Company’s reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as the Company’s reinsurance subsidiaries, and the ceding company. In addition, the Company’s reinsurance subsidiaries may purchase retrocessional coverage as part of their risk management program. The Company’s mortgage subsidiaries cede a portion of their premium through quota share arrangements and enter into various aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, the Company’s insurance or reinsurance subsidiaries would be liable for such defaulted amounts.
The effects of reinsurance on the Company’s written and earned premiums and losses and loss adjustment expenses with unaffiliated reinsurers were as follows:
Year Ended December 31,
202320222021
Premiums Written
Direct$9,652 $8,542 $7,707 
Assumed8,751 6,785 5,045 
Ceded(4,935)(4,249)(3,735)
Net$13,468 $11,078 $9,017 
Premiums Earned
Direct$9,131 $8,058 $7,150 
Assumed7,890 5,768 4,334 
Ceded(4,581)(4,147)(3,402)
Net$12,440 $9,679 $8,082 
Losses and Loss Adjustment Expenses
Direct$4,739 $3,991 $4,267 
Assumed3,975 3,558 2,826 
Ceded(2,468)(2,521)(2,508)
Net$6,246 $5,028 $4,585 

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Bellemeade Re
The Company has entered into various aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the “Bellemeade Agreements”). For the respective coverage periods, the Company will retain the first layer of the respective aggregate losses and the special purpose reinsurance companies will provide second layer coverage up to the outstanding coverage amount. The Company will then retain losses in excess of the outstanding coverage limit. The aggregate excess of loss reinsurance coverage decreases over a ten-year period as the underlying covered mortgages amortize. See note 12, “Variable Interest Entity and Noncontrolling Interests.”
The following table summarizes the respective coverages and retentions at December 31, 2023:
Bellemeade Entities
(Issue Date)
Initial Coverage at IssuanceCurrent
Coverage
Remaining Retention, Net
2019-1 Ltd. (1)342 71 134 
2019-3 Ltd. (2)701 99 218 
2021-3 Ltd. (3)639 541 134 
2022-1 Ltd. (4)317 282 141 
2022-2 Ltd. (5)327 327 205 
2023-1 Ltd. (6)233 233 185 
Total$2,559 $1,553 $1,017 

(1)    Issued in March 2019, covering in-force policies primarily issued between 2005 to 2008 under United Guaranty Residential Insurance Company (“UGRIC”); as well as policies issued through 2015 under both UGRIC and Arch Mortgage Insurance Company.
(2)    Issued in July 2019, covering in-force policies issued in 2016.
(3)    Issued in September 2021, covering in-force policies issued between April 1, 2021 and June 30, 2021. $508 million was directly funded by Bellemeade Re 2021-3 Ltd. via insurance-linked notes, with an additional $131 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(4)    Issued in January 2022, covering in-force policies issued between July 1, 2021 and November 30, 2021. $284 million was directly funded by Bellemeade Re 2022-1 Ltd. via insurance-linked notes, with an additional $33 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(5)    Issued in September 2022, covering in-force policies issued between November 1, 2021 and June 30, 2022. $201 million was directly funded by Bellemeade Re 2022-2 Ltd. via insurance-linked notes, with an additional $126 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(6)    Issued in October 2023, covering in-force policies issued between January 1, 2023 and September 30, 2023. $187 million was directly funded by Bellemeade Re 2023-1 Ltd. via insurance-linked notes, with an additional $47 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.


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9.    Investment Information
Available For Sale Investments
The following table summarizes the fair value and cost or amortized cost of the Company’s securities classified as available for sale:
Estimated
Fair
Value
Gross Unrealized GainsGross Unrealized LossesAllowance for Expected Credit LossesCost or
Amortized
Cost
December 31, 2023
Fixed maturities:
Corporate bonds$10,855 $157 $(464)$(20)$11,182 
U.S. government and government agencies5,814 63 (86) 5,837 
Asset backed securities2,250 11 (55)(5)2,299 
Non-U.S. government securities2,062 33 (100)(1)2,130 
Commercial mortgage backed securities1,213 3 (34)(2)1,246 
Residential mortgage backed securities1,103 7 (66) 1,162 
Municipal bonds256 1 (20) 275 
Total23,553 275 (825)(28)24,131 
Short-term investments2,063 1 (2) 2,064 
Total$25,616 $276 $(827)$(28)$26,195 
December 31, 2022
Fixed maturities:
Corporate bonds$8,020 $55 $(781)$(30)$8,776 
U.S. government and government agencies5,162 15 (343) 5,490 
Asset backed securities1,927 1 (107)(6)2,039 
Non-U.S. government securities2,313 9 (238)(2)2,544 
Commercial mortgage backed securities1,047 1 (58)(3)1,107 
Residential mortgage backed securities795 5 (87) 877 
Municipal bonds419 3 (33) 449 
Total19,683 89 (1,647)(41)21,282 
Short-term investments1,332 1 (2) 1,333 
Total$21,015 $90 $(1,649)$(41)$22,615 


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The following table summarizes, for all available for sale securities in an unrealized loss position, the fair value and gross unrealized loss by length of time the security has been in a continual unrealized loss position:
Less than 12 Months12 Months or MoreTotal
Estimated Fair
Value
Gross Unrealized LossesEstimated Fair
Value
Gross Unrealized LossesEstimated Fair
Value
Gross Unrealized Losses
December 31, 2023
Fixed maturities:
Corporate bonds$1,559 $(45)$4,959 $(419)$6,518 $(464)
U.S. government and government agencies1,066 (10)941 (76)2,007 (86)
Non-U.S. government securities365 (4)897 (96)1,262 (100)
Residential mortgage backed securities221 (3)522 (63)743 (66)
Asset backed securities234 (1)1,112 (54)1,346 (55)
Commercial mortgage backed securities100 (1)909 (33)1,009 (34)
Municipal bonds20 (1)215 (19)235 (20)
Total3,565 (65)9,555 (760)13,120 (825)
Short-term investments302 (2)  302 (2)
Total$3,867 $(67)$9,555 $(760)$13,422 $(827)
December 31, 2022
Fixed maturities:
Corporate bonds$4,823 $(393)$2,559 $(388)$7,382 $(781)
U.S. government and government agencies3,557 (197)1,443 (146)5,000 (343)
Non-U.S. government securities1,703 (154)542 (84)2,245 (238)
Residential mortgage backed securities546 (52)154 (35)700 (87)
Asset backed securities1,148 (66)512 (41)1,660 (107)
Commercial mortgage backed securities598 (35)445 (23)1,043 (58)
Municipal bonds364 (30)16 (3)380 (33)
Total12,739 (927)5,671 (720)18,410 (1,647)
Short-term investments237 (2)  237 (2)
Total$12,976 $(929)$5,671 $(720)$18,647 $(1,649)
At December 31, 2023, on a lot level basis, approximately 7,100 security lots out of a total of approximately 15,720 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $6 million. The Company believes that such securities were temporarily impaired at December 31, 2023. At December 31, 2022, on a lot level basis, approximately 9,810 security lots out of a total of approximately 12,590 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $7 million.
The contractual maturities of the Company’s fixed maturities are shown in the following table. Expected maturities, which are management’s best estimates, will differ from contractual maturities because borrowers may have the right to call or prepay obligations with or without call or prepayment penalties.
December 31, 2023December 31, 2022
Maturity
Estimated Fair Value
Amortized Cost
Estimated Fair Value
Amortized Cost
Due in one year or less$480 $499 $511 $537 
Due after one year through five years12,924 13,101 11,016 11,715 
Due after five years through 10 years5,249 5,450 3,984 4,527 
Due after 10 years334 374 403 480 
18,987 19,424 15,914 17,259 
Mortgage backed securities1,103 1,162 795 877 
Commercial mortgage backed securities1,213 1,246 1,047 1,107 
Asset backed securities2,250 2,299 1,927 2,039 
Total$23,553 $24,131 $19,683 $21,282 

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Equity Securities, at Fair Value
At December 31, 2023, the Company held $1.2 billion of equity securities, at fair value, compared to $860 million at December 31, 2022.
Net Investment Income
The components of net investment income were derived from the following sources:
Year Ended December 31,
202320222021
Fixed maturities$917 $469 $331 
Short-term investments68 29 7 
Equity securities22 22 42 
Term loans  30 
Other (1)93 47 68 
Gross investment income1,100 567 478 
Investment expenses(77)(71)(89)
Net investment income$1,023 $496 $389 
(1)    Includes interest income on operating cash, distributions from investment funds and other items.

Net Realized Gains (Losses)

Net realized gains (losses) were as follows:
Year Ended December 31,
202320222021
Available for sale securities:
Gross gains on investment sales$116 $81 $314 
Gross losses on investment sales(547)(317)(157)
Change in fair value of assets and liabilities accounted for using the fair value option:
Fixed maturities18 (71)9 
Other investments27 (21)117 
Equity securities1 (4)13 
Short-term investments (3)1 
Equity securities, at fair value :
Net realized gains (losses) on securities sold61 75 123 
Net unrealized gains (losses) on equity securities still held at reporting date88 (267)49 
Allowance for credit losses:
Investments related3 (44)(1)
Underwriting related(1)(13) 
Derivative instruments (1)59 (75)(33)
Other (2)10 (4)(55)
Net realized gains (losses)$(165)$(663)$380 
(1)    See note 11, “Derivative Instruments” for information on the Company’s derivative instruments.
(2)    2021 period reflected $33 million of losses related to the Company’s
deconsolidation of Somers.

Other Investments
The following table summarizes the Company’s other investments and other investable assets:
December 31,
20232022
Other investments$1,777 $1,043 
Fixed maturities683 554 
Equity securities7 14 
Short-term investments21 33 
Total other investments$2,488 $1,644 
The following table summarizes the Company’s other investments, as detailed in the previous table, by strategy:

December 31,

2023

2022
Lending427 406 
Investment grade fixed income754 271 
Term loan investments272 164 
Private equity182 123 
Credit related funds124 56 
Energy18 23 
Total
$1,777 $1,043 
Investments Accounted For Using the Equity Method
The following table summarizes the Company’s investments accounted for using the equity method, by strategy:

December 31,

20232022
Credit related funds$1,258 $1,136 
Private equity1,175 917 
Real estate666 535 
Lending597 531 
Infrastructure320 245 
Fixed income277 130 
Equities178 169 
Energy95 111 
Total
$4,566 $3,774 
In applying the equity method, investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds.
Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method
The Company recorded equity in net income related to investments accounted for using the equity method of $278 million for 2023, compared to $115 million for 2022 and $366 million for 2021. In applying the equity method,

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investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds).
A summary of financial information for the Company’s investment funds and operating affiliates accounted for using the equity method is as follows:
December 31,
20232022
Invested assets$91,534 $74,961 
Total assets108,952 88,063 
Total liabilities33,901 27,553 
Net assets$75,051 $60,510 
Year Ended December 31,
202320222021
Total revenues$7,766 $12,305 $11,786 
Total expenses7,174 5,374 3,239 
Net income (loss)$592 $6,931 $8,547 
Certain of the Company’s other investments and investments accounted for using the equity method are in investment funds for which the Company has the option to redeem at agreed upon values as described in each investment fund’s subscription agreement. Depending on the terms of the various subscription agreements, investments in investment funds may be redeemed daily, monthly, quarterly or on other terms. Two common redemption restrictions which may impact the Company’s ability to redeem these investment funds are gates and lockups. A gate is a suspension of redemptions which may be implemented by the general partner or investment manager of the fund in order to defer, in whole or in part, the redemption request in the event the aggregate amount of redemption requests exceeds a predetermined percentage of the investment fund's net assets which may otherwise hinder the general partner or investment manager's ability to liquidate holdings in an orderly fashion in order to generate the cash necessary to fund extraordinarily large redemption payouts. A lockup period is the initial amount of time an investor is contractually required to hold the security before having the ability to redeem. If the investment funds are eligible to be redeemed, the time to redeem such fund can take weeks or months following the notification.
Limited Partnership Interests
In the normal course of its activities, the Company invests in limited partnerships as part of its overall investment strategy. Such amounts are included in ‘investments accounted for using the equity method’ and ‘investments accounted for using the fair value option.’ The Company determined that these limited partnership interests represented variable interests in the funds. The Company’s maximum exposure to
loss with respect to these investments is limited to the investment carrying amounts reported in the Company’s consolidated balance sheet and any unfunded commitment.
The following table summarizes investments in limited partnership interests where the Company has a variable interest by balance sheet item:
December 31,
20232022
Investments accounted for using the equity method (1)$4,566 $3,774 
Investments accounted for using the fair value option (2)114 130 
Total$4,680 $3,904 
(1)     Aggregate unfunded commitments were $3.4 billion at December 31, 2023, consistent with $2.6 billion at December 31, 2022.
(2)    Aggregate unfunded commitments were $32 million at December 31, 2023, compared to $17 million at December 31, 2022.

Investments in Operating Affiliates
Investments in which the Company has significant influence over the operating and financial policies are classified as ‘investments in operating affiliates’ on the Company’s balance sheets and are accounted for under the equity method. Such investments primarily include the Company’s investment in Coface SA (“Coface”), Greysbridge and Premia. Investments in Coface and Premia are generally recorded on a three month lag, while the Company’s investment in Greysbridge is not recorded on a lag.
In 2021, the Company completed the share purchase agreement with Natixis to purchase 29.5% of the common equity of Coface, a France-based leader in the global trade credit insurance market. The consideration paid was €9.95 per share, or an aggregate €453 million (approximately $546 million) including related fees. Income (loss) from operating affiliates reflected a one-time gain of $75 million realized from the acquisition. As a result of equity method accounting rules, approximately $36 million of additional gain was deferred and will generally be recognized over the next five years. As of December 31, 2023, the Company owned approximately 29.9% of the issued shares of Coface, or 30.1% excluding treasury shares, with a carrying value of $570 million, compared to $563 million at December 31, 2022.
In July 2021, the Company announced the completion of the previously disclosed acquisition of Somers by Greysbridge for a cash purchase price of $35.00 per common share.

Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by the Company, 30% by certain investment funds managed by Kelso and 30% by certain investment funds managed by

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Warburg. At December 31, 2023 the Company’s carrying value in Greysbridge was $430 million, compared to $306 million at December 31, 2022. The Company’s carrying value in Greysbridge reflected aggregate purchase price of $279 million along with income (loss) from operating affiliates, which included a one-time gain of $96 million recognized from the acquisition. See note 12, “Variable Interest Entity and Noncontrolling Interests.”
The Company recorded income from operating affiliates of $184 million for 2023, compared to $75 million for 2022 and $264 million for 2021.


Allowance for Expected Credit Losses
The following table provides a roll forward of the allowance for expected credit losses of the Company’s securities classified as available for sale:
Year Ended December 31, 2023Structured Securities (1)Non-U.S. Government SecuritiesCorporate
Bonds
Total
Balance at beginning of period$9 $2 $30 $41 
Additions for current-period provision for expected credit losses2  5 7 
Additions (reductions) for previously recognized expected credit losses(3) (7)(10)
Reductions due to disposals(1)(1)(8)(10)
Balance at end of period$7 $1 $20 $28 
Year Ended December 31, 2022
Balance at beginning of period$1 $ $2 $3 
Additions for current-period provision for expected credit losses14 2 39 55 
Additions (reductions) for previously recognized expected credit losses (4) (9)(13)
Reductions due to disposals(2) (2)(4)
Balance at end of period$9 $2 $30 $41 
(1)    Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
Restricted Assets
The Company is required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support its underwriting operations. The Company’s subsidiaries maintain assets in trust accounts as collateral for transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties
The following table details the value of the Company’s restricted assets:
December 31,
20232022
Assets used for collateral or guarantees:
Affiliated transactions$4,854 $4,254 
Third party agreements2,869 2,633 
Deposits with U.S. regulatory authorities833 776 
Other (1)1,376 1,038 
Total restricted assets $9,932 $8,701 
(1) Primarily includes Funds at Lloyds, deposits with non-U.S. regulatory authorities and other restricted assets.
Reconciliation of Cash and Restricted Cash
The following table details reconciliation of cash and restricted cash within the Consolidated Balance Sheets:
December 31,
202320222021
Cash$917 $855 $859 
Restricted cash (included in ‘other assets’)581 418 455 
Cash and restricted cash$1,498 $1,273 $1,314 

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10.    Fair Value
Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. It defines fair value as the price that would be received to sell an asset or paid to transfer a liability in an orderly fashion between market participants at the measurement date. In addition, it establishes a three-level valuation hierarchy for the disclosure of fair value measurements. The valuation hierarchy is based upon the transparency of inputs to the valuation of an asset or liability as of the measurement date. The level in the hierarchy within which a given fair value measurement falls is determined based on the lowest level input that is significant to the measurement (Level 1 being the highest priority and Level 3 being the lowest priority).
The levels in the hierarchy are defined as follows:
Level 1:
Inputs to the valuation methodology are observable inputs that reflect quoted prices (unadjusted) for identical assets or liabilities in active markets
Level 2:
Inputs to the valuation methodology include quoted prices for similar assets and liabilities in active markets, and inputs that are observable for the asset or liability, either directly or indirectly, for substantially the full term of the financial instrument
Level 3:
Inputs to the valuation methodology are unobservable and significant to the fair value measurement
Following is a description of the valuation methodologies used for securities measured at fair value, as well as the general classification of such securities pursuant to the valuation hierarchy. The Company reviews its securities measured at fair value and discusses the proper classification of such investments with investment advisers and others.
The Company determines the existence of an active market based on its judgment as to whether transactions for the financial instrument occur in such market with sufficient frequency and volume to provide reliable pricing information. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. The Company uses quoted values and other data provided by nationally recognized independent pricing sources as inputs into its process for determining fair values of its fixed maturity investments. To validate the techniques or models used by pricing sources, the Company's review process includes, but is not limited to: (i) quantitative analysis (e.g., comparing the quarterly return for each managed portfolio to its target
benchmark, with significant differences identified and investigated); (ii) a review of the prices obtained in the pricing process and the range of resulting fair values; (iii) initial and ongoing evaluation of methodologies used by outside parties to calculate fair value; (iv) a comparison of the fair value estimates to the Company’s knowledge of the current market; (v) a comparison of the pricing services' fair values to other pricing services' fair values for the same investments; and (vi) periodic back-testing, which includes randomly selecting purchased or sold securities and comparing the executed prices to the fair value estimates from the pricing service. A price source hierarchy was maintained in order to determine which price source would be used (i.e., a price obtained from a pricing service with more seniority in the hierarchy will be used over a less senior one in all cases). The hierarchy prioritizes pricing services based on availability and reliability and assigns the highest priority to index providers. Based on the above review, the Company will challenge any prices for a security or portfolio which are considered not to be representative of fair value.
In certain circumstances, when fair values are unavailable from these independent pricing sources, quotes are obtained directly from broker-dealers who are active in the corresponding markets. Such quotes are subject to the validation procedures noted above. Of the $29.6 billion of financial assets and liabilities measured at fair value at December 31, 2023, approximately $14 million, or 0.0%, were priced using non-binding broker-dealer quotes. Of the $23.8 billion of financial assets and liabilities measured at fair value at December 31, 2022, approximately $13 million, or 0.1%, were priced using non-binding broker-dealer quotes.
Fixed maturities
The Company uses the market approach valuation technique to estimate the fair value of its fixed maturity securities, when possible. The market approach includes obtaining prices from independent pricing services, such as index providers and pricing vendors, as well as to a lesser extent quotes from broker-dealers. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. Each source has its own proprietary method for determining the fair value of securities that are not actively traded. In general, these methods involve the use of “matrix pricing” in which the independent pricing source uses observable market inputs including, but not limited to, investment yields, credit risks and spreads, benchmarking of like securities, broker-dealer quotes, reported trades and sector groupings to determine a reasonable fair value. The following describes the significant inputs generally used to determine the fair value of the Company’s fixed maturity securities by asset class:

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U.S. government and government agencies – valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The Company determined that all U.S. Treasuries would be classified as Level 1 securities due to observed levels of trading activity, the high number of strongly correlated pricing quotes received on U.S. Treasuries and other factors. The fair values of U.S. government agency securities are generally determined using the spread above the risk-free yield curve. As the yields for the risk-free yield curve and the spreads for these securities are observable market inputs, the fair values of U.S. government agency securities are classified within Level 2.
Corporate bonds – valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined using the spread above the risk-free yield curve. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for corporate bonds are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities. As the significant inputs used to price these securities are unobservable, the fair value of such securities are classified as Level 3.
Residential mortgage-backed securities – valuations provided by independent pricing services, substantially all through pricing vendors and index providers with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the expected average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. The pricing services also review prepayment speeds and other indicators, when applicable. As the significant inputs used in the pricing process for mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2.
Municipal bonds – valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally determined using spreads obtained from broker-dealers who trade in the relevant security market, trade prices and the new issue market. As the significant inputs used in the pricing process for municipal bonds are observable market inputs, the fair value of these securities are classified within Level 2.

Commercial mortgage-backed securities – valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for commercial mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2.
Non-U.S. government securities – valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally based on international indices or valuation models which include daily observed yield curves, cross-currency basis index spreads and country credit spreads. As the significant inputs used in the pricing process for non-U.S. government securities are observable market inputs, the fair value of these securities are classified within Level 2.
Asset-backed securities – valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for asset-backed securities are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to a low level of transparency on the inputs used in the pricing process.
Equity securities
The Company determined that exchange-traded equity securities would be included in Level 1 as their fair values are based on quoted market prices in active markets. Other equity securities are included in Level 2 of the valuation hierarchy. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities. As the significant inputs used to price these securities are unobservable, the fair value of such securities are classified as Level 3.

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Other investments
The Company determined that exchange-traded investments would be included in Level 1 as their fair values are based on quoted market prices in active markets. Other investments also include term loan investments for which fair values are estimated by using quoted prices of term loan investments with similar characteristics, pricing models or matrix pricing. Such investments are generally classified within Level 2. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities.
Derivative instruments
The Company’s futures contracts, foreign currency forward contracts, interest rate swaps and other derivatives trade in the over-the-counter derivative market. The Company uses the market approach valuation technique to estimate the fair value for these derivatives based on significant observable market inputs from third party pricing vendors, non-binding broker-dealer quotes and/or recent trading activity. As the significant inputs used in the pricing process for these derivative instruments are observable market inputs, the fair value of these securities are classified within Level 2.
Short-term investments
The Company determined that certain of its short-term investments held in highly liquid money market-type funds, Treasury bills and commercial paper would be included in Level 1 as their fair values are based on quoted market prices in active markets. The fair values of certain short-term investments are generally determined using the spread above the risk-free yield curve and are classified within Level 2. Other short-term investments are included in Level 3 due to the lack of an available independent price source for such securities. As the significant inputs used to price these short-term securities are unobservable, the fair value of such securities are classified as Level 3.

Residential mortgage loans
The Company’s residential mortgage loans (included in ‘other assets’ in the consolidated balance sheets) include amounts related to the Company’s whole mortgage loan purchase and sell program. Fair values of residential mortgage loans are generally determined based on market prices. As significant inputs used in pricing process for these residential mortgage loans are observable market inputs, the fair value of these securities are classified within Level 2.
Other liabilities
The Company’s other liabilities include contingent and deferred consideration liabilities related to the Company’s acquisitions. Contingent consideration liabilities are remeasured at fair value at each balance sheet date with changes in fair value recognized in ‘net realized gains (losses).’ To determine the fair value of contingent consideration liabilities, the Company estimates the future payments using an income approach based on modeled inputs which include a weighted average cost of capital. Deferred consideration liabilities are measured at fair value on the transaction date. The Company determined that contingent and deferred consideration liabilities would be included within Level 3.


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The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2023:
Fair Value Measurement Using:
Estimated
Fair Value
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Other Observable Inputs
(Level 2)
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value:
Available for sale securities:
Fixed maturities:
Corporate bonds$10,855 $ $10,708 $147 
U.S. government and government agencies5,814 5,792 22  
Asset backed securities2,250  2,250  
Non-U.S. government securities2,062  2,062  
Commercial mortgage backed securities1,213  1,213  
Residential mortgage backed securities1,103  1,103  
Municipal bonds256  256  
Total23,553 5,792 17,614 147 
Short-term investments2,063 1,786 193 84 
Equity securities, at fair value1,186 1,151 30 5 
Derivative instruments (2)197  197  
Residential mortgage loans2  2  
Fair value option:
Corporate bonds662  662  
Non-U.S. government bonds6  6  
Asset backed securities2  2  
U.S. government and government agencies13 13   
Short-term investments21  11 10 
Equity securities7 3  4 
Other investments316  210 106 
Other investments measured at net asset value (1)1,461 
Total2,488 16 891 120 
Total assets measured at fair value$29,489 $8,745 $18,927 $356 
Liabilities measured at fair value:
Other liabilities$(22)$ $ $(22)
Derivative instruments (2)(119) (119) 
Total liabilities measured at fair value$(141)$ $(119)$(22)
(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.


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The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2022:
Fair Value Measurement Using:
Estimated
Fair Value
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Other Observable Inputs
(Level 2)
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value:
Available for sale securities:
Fixed maturities:
Corporate bonds$8,020 $ $7,899 $121 
U.S. government and government agencies5,162 5,145 17  
Asset backed securities1,927  1,927  
Non-U.S. government securities2,313  2,313  
Commercial mortgage backed securities1,047  1,047  
Residential mortgage backed securities795  795  
Municipal bonds419  419  
Total19,683 5,145 14,417 121 
Equity securities, at fair value860 829 28 3 
Short-term investments1,332 1,198 134  
Derivative instruments (2)149  149  
Residential mortgage loans2  2  
Fair value option:
Corporate bonds543  543  
Non-U.S. government bonds4  4  
Asset backed securities2  2  
U.S. government and government agencies5 5   
Short-term investments33 1 32  
Equity securities14 10  4 
Other investments196  163 33 
Other investments measured at net asset value (1)847 
Total1,644 16 744 37 
Total assets measured at fair value$23,670 $7,188 $15,474 $161 
Liabilities measured at fair value:
Other liabilities$(14)$ $ $(14)
Derivative instruments (2)(76) (76) 
Total liabilities measured at fair value$(90)$ $(76)$(14)
(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.


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The following table presents a reconciliation of the beginning and ending balances for all financial assets and liabilities measured at fair value on a recurring basis using Level 3 inputs for 2023 and 2022:
Assets
Liabilities
Available For Sale
Fair Value Option
Fair Value
Structured Securities (1)
Corporate Bonds
Short-term
Investments
Other Investments
Short-term
Investments
Equity Securities
Equity Securities
Other
Liabilities
Year Ended December 31, 2023
Balance at beginning of year
$ $121 $ $33 $ $4 $4 $(14)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)
 1  (5)   (1)
Included in other comprehensive income (1)      
Purchases, issuances, sales and settlements
Purchases
 111 84 107 11  1  
Issuances
       (9)
Sales
   (10)    
Settlements
 (85) (19)(1)  2 
Transfers in and/or out of Level 3
        
Balance at end of year
$ $147 $84 $106 $10 $4 $5 $(22)
Year Ended December 31, 2022
Balance at beginning of year
$3 $ $ $28 $ $5 $3 $(17)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)
(1)  (1) (1)  
Included in other comprehensive income (1)     1 
Purchases, issuances, sales and settlements
Purchases
 150  12   1  
Issuances
        
Sales
(2)(6) (3)    
Settlements
 (26) (3)   2 
Transfers in and/or out of Level 3
 4       
Balance at end of year
$ $121 $ $33 $ $4 $4 $(14)
(1)    Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(2)    Gains or losses were included in net realized gains (losses).


Financial Instruments Disclosed, But Not Carried, At Fair Value
The Company uses various financial instruments in the normal course of its business. The carrying values of cash, accrued investment income, receivable for securities sold, certain other assets, payable for securities purchased and certain other liabilities approximated their fair values at December 31, 2023, due to their respective short maturities. As these financial instruments are not actively traded, their respective fair values are classified within Level 2.
At December 31, 2023, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $2.7 billion and had a fair value of $2.5 billion. At December 31, 2022, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $2.7 billion and had a fair value of $2.4 billion. The fair values of the senior notes were obtained from a third party pricing service and are based on observable market inputs. As such, the fair value of the senior notes is classified within Level 2.


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Fair Value Measurements on a Non-Recurring Basis
The Company measures the fair value of certain assets on a non-recurring basis, generally quarterly, annually, or when events or changes in circumstances indicate that the carrying amount of the assets may not be recoverable. These assets include investments accounted for using the equity method, certain other investments, goodwill and intangible assets, and long-lived assets. The Company uses a variety of techniques to measure the fair value of these assets when appropriate, as described below:
Investments accounted for using the equity method. When the Company determines that the carrying value of these assets may not be recoverable, the Company records the assets at fair value with the loss recognized in income. In such cases, the Company measures the fair value of these assets using the techniques discussed above in “—Fair Value Measurements on a Recurring Basis.”
Goodwill and Intangible Assets. The Company tests goodwill and intangible assets annually for impairment whenever events or changes in circumstances indicate the carrying amount may not be recoverable. When the Company determines goodwill and intangible assets may be impaired, the Company uses techniques including discounted expected future cash flows, to measure fair value.
Long-Lived Assets. The Company tests its long-lived assets for impairment whenever events or changes in circumstances indicate the carrying amount of a long-lived asset may not be recoverable.
11.    Derivative Instruments
The Company’s investment strategy allows for the use of derivative instruments. The Company’s derivative instruments are recorded on its consolidated balance sheets at fair value. The Company utilizes exchange traded U.S. Treasury note, Eurodollar and other futures contracts and commodity futures to manage portfolio duration or replicate investment positions in its portfolios and the Company routinely utilizes foreign currency forward contracts, currency options, index futures contracts and other derivatives as part of its total return objective. In addition, certain of the Company’s investments are managed in portfolios which incorporate the use of foreign currency forward contracts which are intended to provide an economic hedge against foreign currency movements.
In addition, the Company purchases to-be-announced mortgage backed securities (“TBAs”) as part of its investment strategy. TBAs represent commitments to purchase a future issuance of agency mortgage backed securities. For the period between purchase of a TBA and issuance of the underlying security, the Company’s position
is accounted for as a derivative. The Company purchases TBAs in both long and short positions to enhance investment performance and as part of its overall investment strategy.
The following table summarizes information on the fair values and notional values of the Company’s derivative instruments:
Estimated Fair Value
 Asset
Derivatives (1)
Liability Derivatives (1)Notional
Value (2)
December 31, 2023   
Futures contracts$139 $(61)$3,746 
Foreign currency forward contracts27 (32)1,224 
Other (3)31 (26)512 
Total$197 $(119)
December 31, 2022   
Futures contracts$51 $(17)$3,138 
Foreign currency forward contracts39 (35)1,136 
Other (3)59 (24)3,592 
Total$149 $(76)

(1)    The fair value of asset derivatives are included in ‘other assets’ and the fair value of liability derivatives are included in ‘other liabilities.’
(2)    Represents the absolute notional value of all outstanding contracts, consisting of long and short positions.
(3)    Includes swaps, options and other derivatives contracts.

The Company did not hold any derivatives which were designated as hedging instruments at December 31, 2023 or 2022.
The Company’s derivative instruments can be traded under master netting agreements, which establish terms that apply to all derivative transactions with a counterparty. In the event of a bankruptcy or other stipulated event of default, such agreements provide that the non-defaulting party may elect to terminate all outstanding derivative transactions, in which case all individual derivative positions (loss or gain) with a counterparty are closed out and netted and replaced with a single amount, usually referred to as the termination amount, which is expressed in a single currency. The resulting single net amount, where positive, is payable to the party “in-the-money” regardless of whether or not it is the defaulting party, unless the parties have agreed that only the non-defaulting party is entitled to receive a termination payment where the net amount is positive and is in its favor.
At December 31, 2023, $197 million and $119 million, respectively, of asset derivatives and liability derivatives were subject to a master netting agreement compared to $147 million and $73 million, respectively, at December 31, 2022. The remaining derivatives included in the table above were not subject to a master netting agreement.

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Realized and unrealized contract gains and losses on the Company’s derivative instruments are reflected in ‘net realized gains (losses)’ in the consolidated statements of income, as summarized in the following table:
Derivatives not designated as hedging instruments
Year Ended December 31,
202320222021
Net realized gains (losses):
Futures contracts$49 $(86)$(16)
Foreign currency forward contracts21 6 (40)
Other(11)5 23 
Total$59 $(75)$(33)
12. Variable Interest Entity and Noncontrolling Interests
Somers Holdings Ltd.
In March 2014, the Company invested $100 million and acquired 2,500,000 common shares of Somers. Somers was considered a VIE and the Company concluded that it was the primary beneficiary of Somers. In the 2020 fourth quarter, Arch Capital, Somers and Greysbridge, a wholly-owned subsidiary of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by the Company, 30% by certain investment funds managed by Kelso and 30% by certain investment funds managed by Warburg. Based on the governing documents of Greysbridge, the Company concluded that, while it retains significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, the Company no longer consolidates the results of Somers in its consolidated financial statements and footnotes. The Company classifies its investment as ‘investments in operating affiliates’ on the Company’s balance sheets and is accounted for under the equity method.
The following table summarizes Somers’ cash flow from operating, investing and financing activities.
Year Ended December 31,
202320222021
Total cash provided by (used for):
Operating activities  47 
Investing activities  96 
Financing activities  (2)
Redeemable noncontrolling interests
The following table sets forth activity in the redeemable noncontrolling interests:
December 31,
 2023

20222021
Balance, beginning of year$11 $9 $58 
Impact of deconsolidation of Somers  (49)
Other(9)2  
Balance, end of year$2 $11 $9 
The portion of income or loss attributable to third party investors is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests’ as summarized in the table below:
December 31,
 202320222021
Amounts attributable to non-redeemable noncontrolling interests$ $ $(78)
Amounts attributable to redeemable noncontrolling interests1 (6)(4)
Net (income) loss attributable to noncontrolling interests$1 $(6)$(82)


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Bellemeade Re
The Company has entered into aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the “Bellemeade Agreements”). At the time the Bellemeade Agreements were entered into, the applicability of the accounting guidance that addresses VIEs was evaluated. As a result of the evaluation of the Bellemeade Agreements, the Company concluded that these entities are VIEs. However, given that the ceding insurers do not have the unilateral power to direct those activities that are significant to their economic performance, the Company does not consolidate such entities in its consolidated financial statements. The reinsurance premium paid in regard to the Bellemeade Agreements is calculated by multiplying the outstanding reinsurance coverage amount at the beginning of the period by the coupon rate, which is the SOFR plus a contractual risk margin, less the actual investment income collected during the preceding month on the assets included in the underlying reinsurance trusts. In the event the assets included in the underlying reinsurance trusts (became severely impaired or worthless and the special purpose reinsurance companies were unable to meet their future obligations, the Company’s mortgage insurance subsidiaries would be liable to fulfill claim payments to policyholders. The Company’s maximum exposure to loss associated with these VIEs is determined as the amount of mortgage insurance claim payments on the insured policies, net of aggregate reinsurance payments previously received, up to the full aggregate excess of loss reinsurance coverage amounts.

December 31, 2023December 31, 2022
Bellemeade Entities
 (Issue Date)
Total VIE AssetsCoverage
Remaining from
Reinsurers (1)
Total VIE Assets
2017-1 Ltd. (Oct-17)$ $ $37 
2018-1 Ltd. (Apr-18) (2)  90 
2018-3 Ltd. (Oct-18)  199 
2019-1 Ltd. (Mar-19)71  108 
2019-2 Ltd. (Apr-19) (2)  325 
2019-3 Ltd. (Jul-19)99  223 
2019-4 Ltd. (Oct-19) (2)  266 
2020-2 Ltd. (Sep-20) (2)  105 
2020-3 Ltd. (Nov-20) (2)  244 
2020-4 Ltd. (Dec-20) (2)  98 
2021-1 Ltd. (Mar-21) (2)  467 
2021-2 Ltd. (Jun-21) (2)  458 
2021-3 Ltd. (Sep-21)429 112 490 
2022-1 Ltd. (Jan-22)256 26 284 
2022-2 Ltd. (Sep-22)201 126 201 
2023-1 Ltd. (Oct-23)186 47 
Total$1,242 $311 $3,595 
(1) Coverage from a separate panel of reinsurers remaining at December 31, 2023.
(2) Agreements terminated in the 2023 fourth quarter.

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13.     Other Comprehensive Income (Loss)

The following table presents the changes in each component of AOCI, net of noncontrolling interests:
Unrealized Appreciation on Available-For-Sale InvestmentsForeign Currency Translation AdjustmentsTotal
Year Ended December 31, 2023
Beginning balance$(1,512)$(134)$(1,646)
Other comprehensive income (loss) before reclassifications547 23 570 
Amounts reclassified from accumulated other comprehensive income400  400 
Net current period other comprehensive income (loss)947 23 970 
Ending balance$(565)$(111)$(676)
Year Ended December 31, 2022
Beginning balance$13 $(78)$(65)
Other comprehensive income (loss) before reclassifications(1,772)(56)(1,828)
Amounts reclassified from accumulated other comprehensive income247  247 
Net current period other comprehensive income (loss)(1,525)(56)(1,581)
Ending balance$(1,512)$(134)$(1,646)
Year Ended December 31, 2021
Beginning balance$501 $(12)$489 
Other comprehensive income (loss) before reclassifications(371)(66)(437)
Amounts reclassified from accumulated other comprehensive income(117) (117)
Net current period other comprehensive income (loss)(488)(66)(554)
Ending balance$13 $(78)$(65)
The following tables present details about amounts reclassified from accumulated other comprehensive income and the tax effects allocated to each component of other comprehensive income (loss):
Consolidated Statement of IncomeAmounts Reclassified from AOCI
Details AboutLine Item That IncludesYear Ended December 31,
 AOCI ComponentsReclassification202320222021
Unrealized appreciation on available-for-sale investments
Net realized gains (losses)$(431)$(235)$157 
Provision for credit losses3 (44)(2)
Total before tax(428)(279)155 
Income tax (expense) benefit28 32 (38)
Net of tax$(400)$(247)$117 

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Following are the related tax effects allocated to each component of other comprehensive income (loss):
Before TaxTax ExpenseNet of Tax
Amount(Benefit)Amount
Year Ended December 31, 2023
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$617 $70 $547 
Less reclassification of net realized gains (losses) included in net income(428)(28)(400)
Foreign currency translation adjustments23  23 
Other comprehensive income (loss)$1,068 $98 $970 
Year Ended December 31, 2022
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$(2,009)$(237)$(1,772)
Less reclassification of net realized gains (losses) included in net income(279)(32)(247)
Foreign currency translation adjustments(56) (56)
Other comprehensive income (loss)$(1,786)$(205)$(1,581)
Year Ended December 31, 2021
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$(408)$(22)$(386)
Less reclassification of net realized gains (losses) included in net income155 38 117 
Foreign currency translation adjustments(65) (65)
Other comprehensive income (loss)$(628)$(60)$(568)


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14.    Earnings Per Common Share
The calculation of basic earnings per common share is computed by dividing income available to Arch common shareholders by the weighted average number of Common Shares and common share equivalents outstanding. The following table sets forth the computation of basic and diluted earnings per common share:
Year Ended December 31,
202320222021
Numerator:
Net income$4,442 $1,482 $2,239 
Amounts attributable to noncontrolling interests1 (6)(82)
Net income available to Arch4,443 1,476 2,157 
Preferred dividends(40)(40)(48)
Loss on redemption of preferred shares  (15)
Net income available to Arch common shareholders$4,403 $1,436 $2,094 
Denominator:
Weighted average common shares outstanding368.7 368.6 391.7 
Effect of dilutive common share equivalents:
Nonvested restricted shares2.5 2.1 2.0 
Stock options (1)7.6 6.9 6.6 
Weighted average common shares and common share equivalents outstanding – diluted378.8 377.6 400.3 
Earnings per common share:
Basic$11.94 $3.90 $5.35 
Diluted$11.62 $3.80 $5.23 
(1)    Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For 2023, 2022 and 2021, the number of stock options excluded were 0.5 million, 0.8 million and 2.4 million, respectively.
15.     Income Taxes
Arch Capital is incorporated under the laws of Bermuda and, under current Bermuda law, is not obligated to pay any taxes in Bermuda based upon income or capital gains. The Company has received a written undertaking from the Minister of Finance in Bermuda under the Exempted Undertakings Tax Protection Act 1966 assuring that, in the event that any legislation is enacted in Bermuda imposing any tax computed on profits, income, gain or appreciation on any capital asset, or any tax in the nature of estate duty or inheritance tax, such tax will not be applicable to Arch Capital or any of its operations until March 31, 2035. However, on December 27, 2023, the Government of Bermuda enacted the Bermuda CIT Act, which will become effective for tax years beginning on or after January 1, 2025. Given the potential for the new corporate income tax regime in Bermuda to supersede the Minister of Finance’s assurance, the Company is likely to become subject to taxes in Bermuda before March 31, 2035.
The Bermuda CIT Act will apply a 15% corporate income tax to certain Bermuda constituent entities of multi-national
groups in fiscal years beginning on or after January 1, 2025. The act includes a provision referred to as the economic transition adjustment, which is intended to provide a fair and equitable transition into the tax regime. Pursuant to this legislation, the Company recorded a $1.18 billion net deferred income tax asset in the fourth quarter of 2023, expected to be utilized predominantly over a 10-year period. The Company expects to incur and pay increased taxes in Bermuda beginning in 2025.
Arch Capital and its non-U.S. subsidiaries will be subject to U.S. federal income tax only to the extent that they derive U.S. source income that is subject to U.S. withholding tax, or income that is effectively connected with the conduct of a trade or business within the U.S. and is not exempt from U.S. tax under an applicable income tax treaty with the U.S., or because a non-U.S. subsidiary has elected to be treated as a U.S. taxpayer. Arch Capital and its non-U.S. subsidiaries will be subject to a withholding tax on dividends from U.S. investments and interest from certain U.S. payors (subject to reduction by any applicable income tax treaty). Arch Capital and its non-U.S. subsidiaries intend to conduct their operations in a manner that will not cause them to be treated as engaged in a trade or business in the United States and, therefore, will not be required to pay U.S. federal income

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taxes (other than U.S. excise taxes on insurance and reinsurance premium and withholding taxes on dividends and certain other U.S. source investment income). However, because there is uncertainty as to the activities which constitute being engaged in a trade or business within the United States, there can be no assurances that the U.S. Internal Revenue Service will not contend successfully that Arch Capital, or its non-U.S. subsidiaries that do not elect to become U.S. taxpayers, are engaged in a trade or business in the United States. If Arch Capital or any of its non-U.S. subsidiaries were subject to U.S. income tax, Arch Capital’s shareholders’ equity and earnings could be materially adversely affected. Arch Capital has subsidiaries and branches that operate in various jurisdictions around the world that are subject to tax in the jurisdictions in which they operate. The significant jurisdictions in which Arch Capital’s subsidiaries and branches are subject to tax are the United States, United Kingdom, Ireland, Canada, Switzerland, Australia and Denmark.
The components of income taxes attributable to operations were as follows:
Year Ended December 31,
202320222021
Current expense (benefit):
United States$251 $195 $284 
Non-U.S.37 6 11 
288 201 295 
Deferred expense (benefit):
United States(20)(96)(123)
Non-U.S.(1,141)(25)(44)
(1,161)(121)(167)
Income tax expense (benefit)$(873)$80 $128 
The Company’s income or loss before income taxes was earned in the following jurisdictions:
Year Ended December 31,
202320222021
Income (Loss) Before Income Taxes:
Bermuda$2,099 $986 $1,519 
United States1,239 401 643 
Other232 175 206 
Total$3,570 $1,562 $2,368 
The expected tax provision computed on pre-tax income or loss at the weighted average tax rate has been calculated as the sum of the pre-tax income in each jurisdiction multiplied by that jurisdiction’s applicable statutory tax rate. The 2023 applicable statutory tax rates by jurisdiction were as follows: Bermuda (0.0%), United States (21.0%), United Kingdom (25.0%), Ireland (12.5%), Denmark (22.0%), Canada (26.5%), Gibraltar (12.5%), Australia (30.0%), Hong Kong (16.5%) and the Netherlands (25.8%).
A reconciliation of the difference between the provision for income taxes and the expected tax provision at the weighted average tax rate follows:
Year Ended December 31,
202320222021
Expected income tax expense (benefit) computed on pre-tax income at weighted average income tax rate$300 $110 $158 
Addition (reduction) in income tax expense (benefit) resulting from:
Investment income(14)(13)(24)
State taxes, net of U.S. federal tax benefit6 11 21 
Dividend withholding taxes9 11 12 
Change in valuation allowance4 (23)(40)
Base eroding tax9 8  
Share based compensation(13)(9)(5)
Tax credits(3)(10) 
Change in tax rate(1,179)(5) 
Other8  6 
Income tax expense (benefit)$(873)$80 $128 
The effect of a change in tax laws or rates on deferred income tax assets and liabilities is recognized in income in the period in which such change is enacted.
Deferred income tax assets and liabilities reflect temporary differences based on enacted tax rates between the carrying amounts of assets and liabilities for financial reporting and income tax purposes.


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Significant components of the Company’s deferred income tax assets and liabilities were as follows:
December 31,
20232022
Deferred income tax assets:
Net operating loss$93 $77 
Discounting of net loss reserves219 78 
Net unearned premium reserve133 97 
Compensation liabilities64 55 
Foreign tax credit carryforward16 17 
Goodwill and intangible assets1,020  
Bad debt reserves16 17 
Depreciation and amortization133 141 
Lease liability31 27 
Net unrealized decline of investments89 193 
Lloyds year of account deferral 1 
Fair value adjustment to senior notes41  
Other, net13 11 
Deferred income tax assets before valuation allowance1,868 714 
Valuation allowance(15)(7)
Deferred income tax assets net of valuation allowance1,853 707 
Deferred income tax liabilities:
Goodwill and intangibles (39)
Lloyds year of account deferral(13) 
Contingency reserve(50)(44)
Deferred policy acquisition costs(144)(64)
Investment related(13)(9)
Right-of-use asset(24)(21)
Total deferred income tax liabilities(245)(177)
Net deferred income tax assets$1,608 $530 
The Company provides a valuation allowance to reduce the net value of certain deferred income tax assets to an amount which management expects to more likely than not be realized. As of December 31, 2023, the Company’s valuation allowance was $15 million, compared to $7 million at December 31, 2022. The valuation allowance at December 31, 2023, was primarily attributable to valuation allowances on the Company’s Australia, Gibraltar and Hong Kong operations and certain other deferred income tax assets relating to tax attributes that have a limited use.
At December 31, 2023, the Company’s net operating loss carryforwards and tax credits were as follows:
Year Ended December 31,
2023
Expiration
Operating Loss Carryforwards
United Kingdom$198 No expiration
Ireland24 No expiration
Australia47 No expiration
Hong Kong32 No expiration
Gibraltar24 No expiration
Cyprus1 No expiration
United States (1)78 
2029 - 2038
Tax Credits
U.K. foreign tax credits10 No expiration
U.S. foreign tax credits6 2029 - 2033
(1) The Company’s U.S. operations have recorded $78 million of net operating loss (“NOL”) carryforwards that are subject to annual usage limitations under Section 382 of the Internal Revenue Code (“the Code”). The NOL limitations are related to acquisitions of the CMG entities in January 2014, Ventus Risk Management Inc. in August 2019, and Verifly Insurance Services, LLC, and Verifly USA Inc. in April 2023. In accordance with Section 382 of the Code, utilization of the acquired NOLs is limited to approximately $2 million per year through December 31, 2027, approximately $1 million through December 31, 2038, and $0.3 million thereafter.
The Company’s U.S. mortgage operations are eligible for a tax deduction, subject to certain limitations, under Section 832(e) of the Code for amounts required by state law or regulation to be set aside in statutory contingency reserves. The deduction is allowed only to the extent that the Company purchases non-interest bearing U.S. Mortgage Guaranty Tax and Loss Bonds (“T&L Bonds”) issued by the U.S. Treasury Department in an amount equal to the tax benefit derived from deducting any portion of the statutory contingency reserves. T&L Bonds are reflected in ‘other assets’ on the Company’s balance sheet and totaled approximately $42 million at December 31, 2023, compared to $12 million at December 31, 2022.
Deferred income tax liabilities have not been accrued with respect to the undistributed earnings of the Company's U.S., U.K. and Ireland subsidiaries as it is the Company’s intention that all such earnings will be indefinitely reinvested. If the earnings were to be distributed, as dividends or otherwise, such amounts may be subject to withholding tax in the jurisdiction of the paying entity. The Company does not intend to indefinitely reinvest earnings from the Company's Canada subsidiary, however, no income or withholding taxes have been accrued as the Canada subsidiary does not have positive cumulative earnings and profits and therefore a distribution from this particular subsidiary would not be subject to income taxes or withholding taxes. Potential tax implications of repatriation from the Company’s unremitted earnings that are indefinitely reinvested are driven by facts at

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the time of distribution. Therefore, it is not practicable to estimate the income tax liabilities that might be incurred if such earnings were remitted. Distributions from the U.K. or Ireland would not be subject to withholding tax and no deferred income tax liability would need to be accrued.
The Company recognizes interest and penalties relating to unrecognized tax benefits in the provision for income taxes. As of December 31, 2023, the Company’s total unrecognized tax benefits, including interest and penalties, were $2 million. If recognized, the full amount of the unrecognized tax benefit would impact the consolidated effective tax rate. A reconciliation of the beginning and ending amount of unrecognized tax benefits is as follows:
December 31,
20232022
Balance at beginning of year$2 $2 
Additions based on tax positions related to the current year  
Additions for tax positions of prior years  
Reductions for tax positions of prior years  
Settlements  
Balance at end of year$2 $2 
The Company, its subsidiaries and branches file income tax returns in various federal, state and local jurisdictions. The following table details open tax years that are potentially subject to examination by local tax authorities, in the following major jurisdictions:
JurisdictionTax Years
United States
2019-2023
United Kingdom
2021-2023
Ireland
2018-2023
Canada
2019-2023
Switzerland
2019-2023
Denmark
2019-2023
Australia
2019-2023
As of December 31, 2023, the Company’s current income tax recoverable (included in “Other liabilities”) was $20 million.
16.    Transactions with Related Parties
In 2017, the Company acquired approximately 25% of Premia Holdings Ltd. Premia Holdings Ltd. is the parent of Premia Reinsurance Ltd., a multi-line Bermuda reinsurance company (together with Premia Holdings Ltd., “Premia”). Premia’s strategy is to reinsure or acquire companies or reserve portfolios in the non-life property and casualty insurance and reinsurance run-off market. Arch Re Bermuda and certain Arch co-investors invested $100 million and acquired approximately 25% of Premia as well as warrants to purchase additional common equity. Arch has appointed two directors to serve on the seven person board of directors of Premia. Arch Re Bermuda is providing a quota share
reinsurance treaty on certain business written by Premia, and subsidiaries of Arch Capital are providing certain administrative and support services to Premia, in each case pursuant to separate multi-year agreements. During 2023, the Company entered into certain reinsurance transactions with Premia which generated net premiums written and earned of $80 million and $81 million, respectively, compared to $121 million and $120 million of net premiums written and earned, respectively in 2022. At December 31, 2023, the Company recorded a funds held asset from Premia of $158 million, compared to $119 million at December 31, 2022.
In the 2021 first quarter, as part of the Company’s acquisition of Barbican, the Company entered into an agreement with Premia Managing Agency Limited for the reinsurance to close of Syndicate 1955’s 2018 underwriting year of account into Premia Syndicate 1884’s 2021 underwriting year of account. The reinsurance to close covers legacy business underwritten by Syndicate 1955 on the underwriting 2018 and prior years of account and under the agreement, approximately $380 million of net liabilities was transferred to Syndicate 1884, with an effective date of January 1, 2021. The Company had no reinsurance recoverable on unpaid and paid losses or funds held liability at December 31, 2023 and December 31, 2022.
In July 2021, following consummation of the Merger Agreement and the related Greysbridge equity financing, pursuant to which Somers became wholly owned by Greysbridge, and Greysbridge is owned 40% by the Company, 30% by certain funds managed by Kelso and 30% by certain funds managed by Warburg. During 2023 and 2022 periods, the Company entered into certain reinsurance transactions with Somers which reduced the Company’s net premiums written by $574 million and $519 million, respectively. In addition, Somers paid certain acquisition costs and administrative fees to the Company. At December 31, 2023, the Company recorded a reinsurance recoverable on unpaid and paid losses from Somers of $1.3 billion and a reinsurance balance payable to Somers of $475 million. At December 31, 2022, reinsurance recoverable on unpaid and paid losses from Somers was $1.2 billion, with a reinsurance balance payable to Somers of $414 million. See note 12, “Variable Interest Entity and Noncontrolling Interests.”
The Company has a put/call option that was entered into in connection with the Greysbridge equity financing, whereby beginning January 1, 2024 the Company will have a call right (but not the obligation) and Warburg and Kelso will each have a put right (but not the obligation) to buy/sell one third of their initial shares annually at the tangible book value per share of Greysbridge for the most recently ended fiscal quarter.

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As of December 31, 2023, the Company owns $35 million in aggregate principal amount of Somers 6.5% senior notes, due July 2, 2029.
17.    Leases
In the ordinary course of business, the Company renews and enters into new leases for office property and equipment. At the lease inception date, the Company determines whether a contract contains a lease and its classification as a finance or operating lease. Primarily all of the Company’s leases are classified as operating leases. The Company’s operating leases have remaining lease terms of up to 14 years, some of which include options to extend the lease term. The Company considers these options when determining the lease term and measuring its lease liability and right-of-use asset. In addition, the Company’s lease agreements do not contain any material residual value guarantees or material restrictive covenants.
Short-term operating leases with an initial term of twelve months or less were excluded on the Company's consolidated balance sheet and represent an inconsequential amount of operating lease expense.
As most leases do not provide an implicit rate, the Company uses its incremental borrowing rate based on the information available at the lease commencement date in determining the present value of lease payments.
Additional information regarding the Company’s operating leases is as follows:
December 31,
20232022
Operating lease costs$33 $34 
Sublease income (1)$(2)$(1)
Cash payments included in the measurement of lease liabilities reported in operating cash flows$31 $26 
Right-of-use assets obtained in exchange for new lease liabilities$28 $43 
Right-of-use assets (2)$125 $123 
Operating lease liability (2)$156 $152 
Weighted average discount rate4.7 %4.2 %
Weighted average remaining lease term7.2 years6.6 years
(1)    The sublease income primarily relates to office property in Raleigh, North Carolina.
(2)    The right-of-use assets are included in ‘other assets’ while the operating lease liability is included in ‘other liabilities.’

The following table presents the contractual maturities of the Company's operating lease liabilities at December 31, 2023:
Years Ending December 31,
2024$32 
202527 
202626 
202722 
202819 
2029 and thereafter60 
Total undiscounted lease liability$186 
Less: present value adjustment(30)
Operating lease liability$156 

Rental expense was approximately $38 million, $39 million and $37 million for 2023, 2022 and 2021, respectively.
18.    Commitments and Contingencies
Concentrations of Credit Risk
The creditworthiness of a counterparty is evaluated by the Company, taking into account credit ratings assigned by independent agencies. The credit approval process involves an assessment of factors, including, among others, the counterparty, country and industry credit exposure limits. Collateral may be required, at the discretion of the Company, on certain transactions based on the creditworthiness of the counterparty.
The areas where significant concentrations of credit risk may exist include unpaid losses and loss adjustment expenses recoverable, contractholder receivables, ceded unearned premiums, paid losses and loss adjustment expenses recoverable net of reinsurance balances payable, investments and cash and cash equivalent balances. A credit exposure exists with respect to reinsurance recoverables as they may become uncollectible. The Company manages its credit risk in its reinsurance relationships by transacting with reinsurers that it considers financially sound and, if necessary, the Company may hold collateral in the form of funds, trust accounts and/or irrevocable letters of credit. This collateral can be drawn on for amounts that remain unpaid beyond specified time periods on an individual reinsurer basis. In addition, certain insurance policies written by the Company’s insurance operations feature large deductibles, primarily in its construction and national accounts lines of business. Under such contracts, the Company is obligated to pay the claimant for the full amount of the claim. The Company is subsequently reimbursed by the policyholder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet in contractholder payables and contractholder receivables, respectively. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such

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defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the policyholder to mitigate the Company’s credit risk. In the instances where the company receives collateral in the form of cash, the Company records a related liability in “Collateral held for insured obligations.”
In addition, the Company underwrites a significant amount of its business through brokers and a credit risk exists should any of these brokers be unable to fulfill their contractual obligations with respect to the payments of insurance and reinsurance balances owed to the Company. The following table summarizes the percentage of the Company’s gross premiums written generated from or placed by the largest brokers:
Broker

Year Ended December 31,

202320222021
Marsh & McLennan Companies and its subsidiaries19.0 %17.3 %18.3 %
Aon Corporation and its subsidiaries13.9 %13.8 %12.2 %
No other broker and no one insured or reinsured accounted for more than 10% of gross premiums written for 2023, 2022 and 2021.
The Company’s available for sale investment portfolio is managed in accordance with guidelines that have been tailored to meet specific investment strategies, including standards of diversification, which limit the allowable holdings of any single issue. There were no investments in any entity in excess of 10% of the Company’s shareholders’ equity at December 31, 2023 other than investments issued or guaranteed by the United States government or its agencies.
Investment Commitments
The Company’s investment commitments, which are primarily related to agreements entered into by the Company to invest in funds and separately managed accounts when called upon, were approximately $3.6 billion and $2.9 billion at December 31, 2023 and 2022, respectively.
Purchase Obligations
The Company has also entered into certain agreements which commit the Company to purchase goods or services, primarily related to software and computerized systems. Such purchase obligations were approximately $148 million and $150 million at December 31, 2023 and 2022, respectively.
Employment and Other Arrangements
At December 31, 2023, the Company has entered into employment agreements with certain of its executive officers. Such employment arrangements provide for compensation in the form of base salary, annual bonus, share-based awards, participation in the Company’s employee benefit programs and the reimbursements of expenses.
19.    Debt and Financing Arrangements
The Company’s senior notes payable at December 31, 2023 and 2022 were as follows:
Carrying Amount at
InterestPrincipal
December 31,
(Fixed)Amount20232022
2034 notes (1)7.350 %$300 $298 $298 
2043 notes (2)5.144 %500 495 495 
2026 notes (3)4.011 %500 498 498 
2046 notes (4)5.031 %450 446 445 
2050 notes (5)3.635 %1,000 989 989 
$2,750 $2,726 $2,725 
(1) Senior notes of Arch Capital issued on May 4, 2004 and due May 1, 2034 (“2034 notes”).
(2) Senior notes of Arch-U.S., a wholly-owned subsidiary of Arch Capital, issued on December 13, 2013 and due November 1, 2043 (“2043 notes”), fully and unconditionally guaranteed by Arch Capital.
(3) Senior notes of Arch Capital Finance LLC (“Arch Finance”), a wholly-owned finance subsidiary of Arch Capital, issued on December 8, 2016 and due December 15, 2026 (“2026 notes”), fully and unconditionally guaranteed by Arch Capital.
(4) Senior notes of Arch Finance issued on December 8, 2016 and due December 15, 2046 (“2046 notes”), fully and unconditionally guaranteed by Arch Capital
(5) Senior notes of Arch Capital issued on June 30, 2020 and due June 30, 2050 (“2050 notes”).
The 2034 notes are Arch Capital’s senior unsecured obligations and rank equally with all of its existing and future senior unsecured indebtedness. Interest payments on the 2034 notes are due on May 1st and November 1st of each year. Arch Capital may redeem the 2034 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
The 2043 notes are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital, respectively. Interest payments on the 2043 notes are due on May 1st and November 1st of each year. Arch-U.S. may redeem the 2043 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.

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The 2026 notes are unsecured and unsubordinated obligations of Arch Finance and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital, respectively. Interest payments on the 2026 notes are due on June 15th and December 15th of each year. Arch Finance may redeem the 2026 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
The 2046 notes are unsecured and unsubordinated obligations of Arch Finance and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital, respectively. Interest payments on the 2046 notes are due on June 15th and December 15th of each year. Arch Finance may redeem the 2046 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
The 2050 notes are Arch Capital’s senior unsecured obligations and rank equally with all of its existing and future senior unsecured indebtedness. Interest payments on the 2050 notes are due on June 30 and December 30 of each year. Arch Capital may redeem the 2050 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
Letter of Credit and Revolving Credit Facilities
In the normal course of its operations, the Company enters into agreements with financial institutions to obtain secured and unsecured credit facilities. On August 23, 2023, Arch Capital and certain of its subsidiaries amended the existing credit agreement (the “Credit Facility”). The Credit Facility, as amended, consists of a $425 million secured facility for letters of credit (the “Secured Facility”) and a $500 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). At December 31, 2023, the Secured Facility had $273 million of letters of credit outstanding and remaining capacity of $152 million, and the Unsecured Facility had no outstanding revolving loans or letters of credit, with remaining capacity of $500 million.
The Credit Facility contains certain restrictive and maintenance covenants customary for facilities of this type, including restrictions on indebtedness, minimum consolidated tangible net worth, maximum leverage levels and minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the agreement were in compliance with all covenants contained therein at December 31, 2023.
Obligations of each borrower for letters of credit under the Secured Facility are secured by cash and eligible securities of such borrower and held in collateral accounts. Commitments under the Credit Facility may be increased up to, but not exceeding, an aggregate of $1.5 billion. Arch Capital has a
one-time option to convert any or all outstanding revolving loans of Arch Capital and/or Arch-U.S. to term loans with the same terms as the revolving loans except that any prepayments may not be re-borrowed. Borrowings of revolving loans may be made at a variable rate based on Secured Overnight Financing Rate (“SOFR”). Secured letters of credit are available for issuance on behalf of certain Arch Capital subsidiaries. Arch Capital guarantees the obligations of Arch-U.S. and Arch U.S. MI Holdings Inc., Arch-U.S. guarantees the obligations of Arch Capital, and Arch Capital Finance LLC guarantees the obligations of Arch Capital and Arch-U.S.
The commitments under the Credit Facility will expire on August 23, 2028, and all loans then outstanding under the Credit Facility must be repaid at such time. Letters of credit issued under the Credit Facility will not have an expiration date later than August 23, 2029.
On September 27, 2023, Arch Re Bermuda a wholly-owned subsidiary of Arch Capital, entered as the borrower into a Letter of Credit Facility Agreement with Lloyds Bank Corporate Markets plc. Such agreement provides for a $175 million unsecured facility for letters of credit with commitments expiring on September 27, 2025. At December 31, 2023, this facility had $114 million of letters of credit outstanding and remaining capacity of $61 million.
On October 25, 2023, Arch Re Bermuda entered into Amendment No. 3 and Joinder to a Letter of Credit Facility Agreement with Lloyds Bank Corporate Markets plc., which amends the agreement dated as of November 3, 2020, as amended on October 29, 2021 and as further amended on October 27, 2022. Such agreement provides for a $530 million facility for letters of credit in respect of Tier 2 Funds at Lloyds. As of December 31, 2023, $530 million face amount of letters of credit had been issued under this facility. The availability period ends on May 31, 2024.
In addition, certain of Arch Capital’s subsidiaries had outstanding secured letters of credit through other facilities of $38 million, which were issued in the normal course of business (“LOC Facilities”). The principal purpose of the LOC Facilities is to issue, as required, evergreen standby letters of credit in favor of primary insurance or reinsurance counterparties with which certain of Arch Capital’s subsidiaries has entered into reinsurance arrangements.
When issued, all secured letters of credit are secured by a portion of the investment portfolio. At December 31, 2023, these letters of credit were secured by investments with a fair value of $550 million. The Company had no outstanding revolving credit agreement borrowings at December 31, 2023 and 2022.

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Federal Home Loan Bank Membership
Certain subsidiaries of the Company are members of Federal Home Loan Banks (“FHLBs”). Members may borrow from the FHLBs at competitive rates subject to certain conditions. Conditions include maintaining sufficient collateral deposits for funding and a requirement to hold stock in the FHLBs related to both membership and outstanding advances. At December 31, 2023 and 2022, the Company had no advances outstanding under the FHLB program.
20.    Goodwill and Intangible Assets
The following table shows an analysis of goodwill and intangible assets:
GoodwillIntangible assets (indefinite life)Intangible assets (finite life)Total
Net balance at Dec. 31, 2021$345 $71 $529 $945 
Acquisitions (1)8   8 
Amortization— — (106)(106)
Foreign currency movements and other adjustments(11)(2)(30)(43)
Net balance at Dec. 31, 2022342 69 393 804 
Acquisitions (1)  11 11 
Amortization— — (95)(95)
Impairment(2)  (2)
Foreign currency movements and other adjustments5 1 7 13 
Net balance at Dec. 31, 2023$345 $70 $316 $731 
Gross balance at Dec. 31, 2023$348 $70 $1,105 $1,523 
Accumulated amortization— — (766)(766)
Foreign currency movements and other adjustments(3) (23)(26)
Net balance at Dec. 31, 2023$345 $70 $316 $731 

The following table presents the components of goodwill and intangible assets:
Gross BalanceAccumulated
Amortization
Foreign Currency Translation Adjustment and OtherNet
Balance
Dec. 31, 2023
Acquired insurance contracts$452 $(441)$ $11 
Operating platform64 (54) 10 
Distribution relationships594 (277)(23)294 
Goodwill348 — (3)345 
Insurance licenses48 —  48 
Syndicate capacity22 —  22 
Unfavorable service contract(10)10   
Other5 (4) 1 
Total$1,523 $(766)$(26)$731 
Dec. 31, 2022
Acquired insurance contracts$452 $(426)$(1)$25 
Operating platform53 (50) 3 
Distribution relationships602 (208)(31)363 
Goodwill351 — (9)342 
Insurance licenses48 —  48 
Syndicate capacity22 — (1)21 
Unfavorable service contract(10)10   
Other5 (3) 2 
Total$1,523 $(677)$(42)$804 
The estimated remaining amortization expense for the Company’s intangible assets with finite lives is as follows:
2024$77 
202546 
202634 
202731 
202829 
2029 and thereafter99 
Total$316 
The estimated remaining useful lives of these assets range from one to thirteen years at December 31, 2023.

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21.    Shareholders’ Equity
Authorized and Issued
The authorized share capital of Arch Capital consists of 1.8 billion Common Shares, par value of $0.0011 per share, and 50 million Preferred Shares, par value of $0.01 per share.
Common Shares
The following table presents a roll-forward of changes in Arch Capital’s issued and outstanding Common Shares:
Year Ended December 31,
202320222021
Common Shares:
Shares issued and outstanding, beginning of year588.3 583.3 579.0 
Shares issued (1)2.8 3.5 2.7 
Restricted shares issued, net of cancellations0.8 1.5 1.6 
Shares issued and outstanding, end of year591.9 588.3 583.3 
Common shares in treasury, end of year(218.5)(217.9)(204.4)
Shares issued and outstanding, end of year373.4 370.4 378.9 
(1)    Includes shares issued from the exercise of stock options and stock appreciation rights, the vesting of restricted share units and shares issued from the employee share purchase plan.
Share Repurchase Program
The Board of Directors of Arch Capital (the “Board”) has authorized the investment in Arch Capital’s common shares through a share repurchase program. At December 31, 2023, $1.0 billion of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through December 31, 2024. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations.
Repurchases of Arch Capital’s common shares in connection with the share repurchase plan and other share-based transactions were held in the treasury under the cost method, and the cost of the common shares acquired is included in ‘Common shares held in treasury, at cost.’ At December 31, 2023, Arch Capital held 218.5 million shares for an aggregate cost of $4.4 billion in treasury, at cost.
The Company’s repurchases under the share repurchase program were as follows:
Year Ended December 31,
202320222021
Aggregate cost of shares repurchased$ $586 $1,234 
Shares repurchased 12.9 31.5 
Average price per share repurchased$ $45.44 $39.20 
Since the inception of the share repurchase program through December 31, 2023, Arch Capital has repurchased approximately 433.6 million common shares for an aggregate purchase price of $5.9 billion.
Series G Preferred Shares
In June 2021, Arch Capital completed a $500 million underwritten public offering of 20.0 million depositary shares
(the “Depositary Shares”), each of which represents a 1/1,000th interest in a share of its 4.55% Non-Cumulative Preferred Shares, Series G, $0.01 par value and $25,000 liquidation preference per share (equivalent to $25 liquidation preference per Depositary Share) (the “Series G Preferred Shares”). Each Depositary Share, evidenced by a depositary receipt, entitles the holder, through the depositary,
to a proportional fractional interest in all rights and preferences of the Series G Preferred Shares represented thereby (including any dividend, liquidation, redemption and voting rights).

Holders of Series G Preferred Shares will be entitled to receive dividend payments only when, as and if declared by the Board or a duly authorized committee of the Board. Any such dividends will be payable from, and including, the date of original issue on a noncumulative basis, quarterly in arrears on the last day of March, June, September and December of each year, at an annual rate of 4.55%. Dividends on the Series G Preferred Shares are not cumulative. The Company will be restricted from paying dividends on or repurchasing its common shares unless certain dividend payments are made on the Series G Preferred Shares. The Company may not declare or pay a dividend on the Series G Preferred Shares under certain circumstances, including if the Company is or, after giving effect to such payment, would be in breach of applicable individual or group solvency and liquidity requirements or applicable individual or group enhanced capital requirements (“ECR”). The Series G Preferred Shares may not be redeemed at any time if the ECR would be breached immediately before or after giving effect to such redemption, unless the Company replaces the capital represented by preference shares to be redeemed with capital having equal or better capital treatment.


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Except in specified circumstances relating to certain tax or corporate events, the Series G Preferred Shares are not redeemable prior to June 11, 2026. On and after that date, the
Series G Preferred Shares will be redeemable at the Company’s option, in whole or in part, at a redemption price of $25,000 per share of the Series G Preferred Shares (equivalent to $25 per depositary share), plus any declared and unpaid dividends, without accumulation of any undeclared dividends to, but excluding, the redemption date. The Depositary Shares will be redeemed if and to the extent the related Series G Preferred Shares are redeemed by the Company. Neither the Depositary Shares nor the Series G Preferred Shares have a stated maturity, nor will they be subject to any sinking fund or mandatory redemption. The Series G Preferred Shares are not convertible into any other securities. The Series G Preferred Shares do not have voting rights, except under limited circumstances. The net proceeds from the Series G Preferred Share offerings were used to redeem the Company’s outstanding 5.25% Series E Non-Cumulative Preferred Shares.
Series F Preferred Shares
In August 2017 and November 2017, Arch Capital completed combined $330 million of underwritten public offerings ($230 million in August 2017 and $100 million in November 2017) of 13.2 million depositary shares (the “Series F Depositary Shares”), each of which represents a 1/1,000th interest in a share of its 5.45% Non-Cumulative Preferred Shares, Series F, with a $0.01 par value and $25,000 liquidation preference per share (equivalent to $25 liquidation preference per Series F Depositary Share) (the “Series F Preferred Shares”). Each Series F Depositary Share, evidenced by a depositary receipt, entitles the holder, through the depositary, to a proportional fractional interest in all rights and preferences of the Series F Preferred Shares represented thereby (including any dividend, liquidation, redemption and voting rights).
Holders of Series F Preferred Shares will be entitled to receive dividend payments only when, as and if declared by the Board or a duly authorized committee of the board. Any such dividends will be payable from, and including, the date of original issue on a noncumulative basis, quarterly in arrears on the last day of March, June, September and December of each year, at an annual rate of 5.45%. Dividends on the Series F Preferred Shares are not cumulative. The Company will be restricted from paying dividends on or repurchasing its common shares unless certain dividend payments are made on the Series F Preferred Shares.
Except in specified circumstances relating to certain tax or corporate events, the Series F Preferred Shares are not redeemable prior to August 17, 2022 (the fifth anniversary of the issue date). On and after that date, the Series F Preferred
Shares will be redeemable at the Company’s option, in whole or in part, at a redemption price of $25,000 per share of the Series F Preferred Shares (equivalent to $25 per depositary share), plus any declared and unpaid dividends, without accumulation of any undeclared dividends to, but excluding, the redemption date. The Series F Depositary Shares will be redeemed if and to the extent the related Series F Preferred Shares are redeemed by the Company. Neither the Series F Depositary Shares nor the Series F Preferred Shares have a stated maturity, nor will they be subject to any sinking fund or mandatory redemption. The Series F Preferred Shares are not convertible into any other securities. The Series F Preferred Shares will not have voting rights, except under limited circumstances. The net proceeds from the Series F Preferred Share offerings were used to redeem the Company’s outstanding 6.75% Series C Non-Cumulative Preferred Shares.
Series E Preferred Shares
In September, 2021, Arch Capital redeemed all outstanding 5.25% Series E non-cumulative preferred shares. The preferred shares were redeemed at a redemption price equal to $25 per share, plus all declared and unpaid dividends to (but excluding) the redemption date. In accordance with GAAP, following the redemption, original issuance costs related to such shares have been removed from additional paid-in capital and recorded as a “loss on redemption of preferred shares.” Such adjustment had no impact on total shareholders’ equity or cash flows.
22.    Share-Based Compensation
Long Term Incentive and Share Award Plans
The Company utilizes share-based compensation plans for officers, other employees and directors of Arch Capital and its subsidiaries to provide competitive compensation opportunities, to encourage long-term service, to recognize individual contributions and reward achievement of performance goals and to promote the creation of long-term value for shareholders by aligning the interests of such persons with those of shareholders.
The 2022 Long-Term Incentive and Share Award Plan (“the 2022 Plan”) became effective as of May 4, 2022 following approval by shareholders of the Company. The 2022 Plan provides for the issuance of stock options, stock appreciation rights, restricted shares, restricted share units payable in common shares or cash, dividend equivalents, performance shares and performance units and other share-based awards to Arch Capital’s eligible employees and directors. The number of common shares reserved for grants under the 2022 Plan, subject to anti-dilution adjustments in the event of certain changes in Arch Capital’s capital structure, is 9.0 million; provided that no more than 6.0 million common

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shares may be issued as incentive stock options under Section 422 of the Code. The 2022 Plan will terminate as to future awards on February 25, 2032. At December 31, 2023, 7.8 million shares are available for future issuance.
The 2018 Long-Term Incentive and Share Award Plan (the “2018 Plan”) became effective as of May 9, 2018 following approval by shareholders of the Company. The 2018 Plan provides for the issuance of restricted stock units, performance units, restricted shares, performance shares, stock options and stock appreciation rights and other equity-based awards to our employees and directors. The 2018 Plan authorizes the issuance of 34.5 million common shares and will terminate as to future awards on February 28, 2028. At December 31, 2023, 5.8 million shares are available for future issuance.
Upon shareholder approval on May 4, 2023, the Amended and Restated Arch Capital Group Ltd. 2007 Employee Share Purchase Plan (the “ESPP”) became effective. The total common shares that may be purchased under the ESPP was increased by 3.0 million shares for a total of 12.8 million shares authorized. The purpose of the ESPP is to give employees of the Company an opportunity to purchase common shares through payroll deductions, thereby encouraging employees to share in the economic growth and success of the Company. The ESPP is designed to qualify as an “employee share purchase plan” under Section 423 of the Internal Revenue Code of 1986, as amended. At December 31, 2023, 3.6 million shares remain available for issuance.
Stock Options and Stock Appreciation Rights
The Company generally issues stock options and SARs to eligible employees, with exercise prices equal to the fair market values of the Company’s Common Shares on the grant dates. Such grants generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date.
The grant date fair value is determined using the Black-Scholes option valuation model. The expected life assumption is based on an expected term analysis, which incorporates the Company’s historical exercise experience. Expected volatility is based on the Company’s daily historical trading data of its common shares. The table below summarizes the assumptions used.
Year Ended December 31,
202320222021
Dividend yield % % %
Expected volatility25.1 %24.0 %24.2 %
Risk free interest rate4.1 %2.0 %1.0 %
Expected option life6.0 years6.0 years6.0 years
A summary of stock option and SAR activity under the Company’s Long Term Incentive and Share Award Plans during 2023 is presented below:
Year Ended December 31, 2023
Number of
Options / SARs
Weighted Average Exercise PriceWeighted Average Contractual TermAggregate Intrinsic Value
Outstanding, beginning of year14,420,901 $28.17 
Granted479,760 $69.24 
Exercised(2,355,729)$20.66 
Forfeited or expired(8,339)$48.38 
Outstanding, end of year12,536,593 $31.14 4.10$541 
Exercisable, end of year11,205,102 $28.68 3.61$511 
The aggregate intrinsic value of stock options and SARs exercised represents the difference between the exercise price of the stock options and SARs and the closing market price of the Company’s common shares on the exercise dates. During 2023, the Company received proceeds of $20 million from the exercise of stock options and recognized a tax benefit of $9 million from the exercise of stock options and SARs.
Year Ended December 31,
202320222021
Weighted average grant date fair value$23.50 $13.26 $9.22 
Aggregate intrinsic value of Options/SARs exercised (in millions)$116 $113 $47 

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
Restricted Common Shares and Restricted Units
The Company also issues restricted share and unit awards to eligible employees and directors, for which the fair value is equal to the fair market values of the Company’s Common Shares on the grant dates. Restricted share and unit awards generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date.
A summary of restricted share and restricted unit activity under the Company’s Long Term Incentive and Share Award Plans for 2023 is presented below:
Number of Restricted
Common
Shares
Number of Restricted
Unit
Awards
Unvested Shares:
Unvested balance, beginning of year2,165,554 517,293 
Granted678,657 146,534 
Vested(1,281,449)(352,190)
Forfeited(38,157)(5,709)
Unvested balance, end of year1,524,605 305,928 
Weighted Average Grant Date Fair Value:
Unvested balance, beginning of year$40.23 $37.17 
Granted$69.47 $69.20 
Vested$38.37 $34.16 
Forfeited$49.65 $55.55 
Unvested balance, end of year$54.57 $55.63 
The following table presents the weighted average grant date fair value of restricted shares and restricted unit awards granted and the aggregate fair value of restricted shares and unit awards vesting in each year.
Year Ended December 31,
202320222021
Number of restricted shares and restricted unit awards granted 825,191 1,089,393 1,261,773 
Weighted average grant date fair value$69.42 $47.45 $36.12 
Aggregate fair value of vested restricted share and unit awards (in millions)$122 $51 $41 
The aggregate intrinsic value of restricted units outstanding at December 31, 2023 was $23 million, and the aggregate intrinsic value of restricted units vested and deferred was $0.4 million.
Performance Awards
The Company also issues performance share and unit awards (“performance awards”) to eligible employees, which are earned based on the achievement of pre-established threshold, target and maximum goals over three-year performance periods. Final payouts depend on the level of achievement along with each employees continued service through the vest date, and can vary between 0% and 200%. The grant date fair value of the performance awards is measured using a Monte Carlo simulation model, which incorporated the assumptions summarized in the table below. Expected volatility is based on the Company’s daily historical trading data of its common shares. The cumulative compensation expense recognized and unrecognized as of any reporting period date represents the adjusted estimate of performance shares and units that will ultimately be awarded, valued at their original grant date fair values.
Year Ended December 31,
202320222021
Expected volatility30.4 %38.1 %37.5 %
Risk free interest rate4.6 %1.7 %0.3 %
Number of Performance
Shares
Number of Performance
Units
Unvested Shares:
Unvested balance, beginning of year1,882,916 39,710 
Granted550,394 18,182 
Performance adjustment (1) (2)(341,420)(2,024)
Vested(207,486)(6,274)
Forfeited(3,708) 
Unvested balance, end of year1,880,696 49,594 
Weighted Average Grant Date Fair Value:
Unvested balance, beginning of year$43.75 $45.33 
Granted$74.08 $74.31 
Performance adjustment (1) (2)$44.17 $44.17 
Vested$44.17 $44.17 
Forfeited$59.83 $ 
Unvested balance, end of year$52.47 $56.15 
(1)    The performance adjustment represents the difference between the number of performance shares granted and earned, which vested following the end of the performance period. The performance shares were granted at the maximum level of achievement.
(2)    The performance adjustment represents the change in PSUs, which vested following the end of the performance period. The performance units were granted at the target level of achievement.


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
The following table presents the weighted average grant date fair values of performance awards granted.
Year Ended December 31,
202320222021
Number of performance awards568,576 690,772 685,104 
Weighted average grant date fair value$74.09 $49.91 $37.38 
Aggregate fair value of vested performance share and unit awards (in millions)$14 $27 $24 
The aggregate intrinsic value of performance units outstanding at December 31, 2023 was $4 million.
The issuance of share-based awards and amortization thereon has no effect on the Company’s consolidated shareholders’ equity.
Share-Based Compensation Expense
The following tables present pre-tax and after-tax share-based compensation expense recognized as well as the unrecognized compensation cost associated with unvested awards and the weighted average period over which it is expected to be recognized.
Year Ended December 31,
202320222021
Pre-Tax
Stock options and SARs$11 $12 $12 
Restricted share and unit awards54 50 47 
Performance awards23 22 24 
ESPP4 4 4 
Total$92 $88 $87 
After-Tax
Stock options and SARs$10 $11 $11 
Restricted share and unit awards45 42 39 
Performance awards21 20 22 
ESPP4 4 4 
Total$80 $77 $76 
December 31, 2023
Stock Options and SARsRestricted Common
Shares and Units
Performance Common Shares and Units
Unrecognized compensation cost related to unvested awards$7 $43 $11 
Weighted average recognition period (years)0.670.950.44
23.    Retirement Plans
For purposes of providing employees with retirement benefits, the Company maintains defined contribution retirement plans. Contributions are based on the participants’ eligible compensation. For 2023, 2022 and 2021, the Company expensed $77 million, $67 million and $60 million, respectively, related to these retirement plans.
24.    Legal Proceedings
The Company, in common with the insurance industry in general, is subject to litigation and arbitration in the normal course of its business. As of December 31, 2023, the Company was not a party to any litigation or arbitration which is expected by management to have a material adverse effect on the Company’s results of operations and financial condition and liquidity.

25.    Statutory Information
The Company’s insurance and reinsurance subsidiaries are subject to insurance and/or reinsurance laws and regulations in the jurisdictions in which they operate. These regulations include certain restrictions on the amount of dividends or other distributions available to shareholders without prior approval of the insurance regulatory authorities.
The actual and required statutory capital and surplus for the Company’s principal operating subsidiaries at December 31, 2023 and 2022:
December 31,
20232022
Actual capital and surplus (1):
Bermuda$24,120 $19,546 
Ireland1,148 968 
United States6,897 6,195 
United Kingdom1,367 1,018 
Canada83 69 
Australia366 285 
Required capital and surplus:
Bermuda$7,112 $6,450 
Ireland942 815 
United States1,895 1,749 
United Kingdom1,192 543 
Canada53 48 
Australia179 176 
(1)Such amounts include ownership interests in affiliated insurance and reinsurance subsidiaries.


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
There were no state-prescribed or permitted regulatory accounting practices for any of the Company’s insurance or reinsurance entities that resulted in reported statutory surplus that differed from that which would have been reported under the prescribed practices of the respective regulatory authorities, including the National Association of Insurance Commissioners. The differences between statutory financial statements and statements prepared in accordance with GAAP vary by jurisdiction, however, with the primary differences being that statutory financial statements may not reflect deferred acquisition costs, certain net deferred income tax assets, goodwill and intangible assets, unrealized appreciation or depreciation on debt securities and certain unauthorized reinsurance recoverables and include contingency reserves.
The statutory net income (loss) for the Company’s principal operating subsidiaries for 2023, 2022 and 2021 was as follows:
Year Ended December 31,
202320222021
Statutory net income (loss):
Bermuda$3,519 $1,730 $2,371 
Ireland53 (53)25 
United States592 220 346 
United Kingdom72 57 35 
Canada6 9 7 
Australia68 39 12 
Bermuda
The Company’s Bermuda insurance and reinsurance subsidiaries are subject to the Bermuda Insurance Act 1978 and related regulations, each as amended (the “Insurance Act”). Arch Re Bermuda, the Company’s principal reinsurance and insurance subsidiary, is registered as a Class 4 insurer and long-term insurer while Arch Group Reinsurance Ltd. (“AGRL”) is registered as a Class 3A general business insurer and provides affiliated quota share reinsurance covering certain U.S. business. The Insurance Act requires that both entities maintain minimum statutory capital and surplus equal to the greater of a minimum solvency margin and the enhanced capital requirement (“ECR”) as determined by the Bermuda Monetary Authority (“BMA”). The ECR is calculated based on the Bermuda Solvency Capital Requirement model, a risk-based model that takes into account the risk characteristics of different aspects of the company’s business. At December 31, 2023 and 2022, the actual and required capital and surplus were based on the economic balance sheet requirements.
Under the Insurance Act, Arch Re Bermuda and AGRL are restricted with respect to the payment of dividends. Each entity is prohibited from declaring or paying in any financial year dividends of more than 25% of its total statutory capital
and surplus (as shown on its previous financial year’s statutory balance sheet) unless it files, at least seven days before payment of such dividends, with the BMA an affidavit stating that it will continue to meet the required margins following the declaration of those dividends. Accordingly, Arch Re Bermuda can pay approximately $4.8 billion to Arch Capital during 2024 without providing an affidavit to the BMA. Dividends or distributions, if any, made by AGRL would result in an increase in available capital at Arch-U.S.
Ireland
The Company has three Irish subsidiaries: Arch Re Europe, an authorized life and non-life reinsurer, Arch Insurance (EU), an authorized non-life insurer and Arch Underwriting Europe, a registered insurance and reinsurance intermediary. Irish authorized reinsurers and insurers, such as Arch Re Europe, Arch Insurance (EU) and Irish intermediaries, such as Arch Underwriters Europe, are also subject to the general body of Irish laws and regulations including the provisions of the Companies Act 2014. As part of the Company’s Brexit plan, Arch Insurance (EU) received approval from the Central Bank of Ireland (“CBI”) to expand the nature of its business in 2019 commenced writing insurance lines in the European Economic Area in 2020, and the Part VII Transfer was completed at the end of December 2020. Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe are subject to the supervision of the CBI and must comply with Irish insurance acts and regulations as well as with directions and guidance issued by the CBI. Arch Re Europe and Arch Insurance (EU) are required to maintain a minimum level of capital. At December 31, 2023 and 2022, these requirements were met.

The amount of dividends these subsidiaries are permitted to declare is limited to accumulated, realized profits, so far as not previously utilized by distribution or capitalization, less its accumulated, realized losses, so far as not previously written off in a reduction or reorganization of capital duly made. The solvency and capital requirements must still be met following any distribution. Dividends or distributions, if any, made by Arch Re Europe would result in an increase in available capital at Arch Re Bermuda.

United States
The Company’s U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of the Company’s regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities.

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Dividends or distributions, if any, made by Arch Re U.S. would result in an increase in available capital at Arch-U.S., the Company’s U.S. holding company. Arch Re U.S. can declare a maximum of approximately $329 million of dividends during 2024 subject to the approval of the Commissioner of the Delaware Department of Insurance.
AMIC and UGRIC are approved as eligible mortgage insurers by Fannie Mae and Freddie Mac, subject to maintaining certain requirements (“eligible mortgage insurers”). In April 2015, the GSEs published their original comprehensive, requirements, known as the Private Mortgage Insurer Eligibility Requirements or “PMIERs.” Revised and restated in September 2018, and clarified thereafter by the Guidance Letters 2020-1 and 2021-1 issued by the GSEs in 2020 and 2021, respectively, the PMIERs apply to the Company’s eligible mortgage insurers, but do not apply to AMG, which is not GSE-approved.
The amount of assets required to satisfy the revised financial requirements of the PMIERs may be affected by many factors, including macro-economic conditions, the size and composition of our mortgage insurance portfolio, and the amount of risk ceded to reinsurers that may be deducted in our calculation of “minimum required assets.”
The Company’s U.S. mortgage insurance subsidiaries are subject to regulation by their domiciliary and primary regulators, the Wisconsin Office of the Commissioner of Insurance (“Wisconsin OCI”) for AMIC and AMG, the North Carolina Department of Insurance (“NC DOI”) for UGRIC, and by state insurance departments in each state in which they are licensed. As mandated by state insurance laws, mortgage insurers are generally mono-line companies. Each company is subject to the statutory requirements of their domiciliary regulator as to payment of dividends and return of capital; the GSEs may also impart limitations on the Company’s eligible mortgage insurers, such as required minimum assets. Under respective state law, the Company’s U.S. mortgage subsidiaries can declare a maximum of approximately $180 million of ordinary dividends in 2024, however, dividend capacity is limited by the respective companies unassigned surplus amounts. Such dividends would increase the available capital at Arch U.S. MI Holdings Inc., a subsidiary of Arch-U.S.
Mortgage insurance companies licensed in Wisconsin or North Carolina are required to establish contingency loss reserves for purposes of statutory accounting in an amount equal to at least 50% of net earned premiums. These amounts generally cannot be withdrawn for a period of 10 years and are separate liabilities for statutory accounting purposes, which affects the ability to pay dividends. However, with prior regulatory approval, a mortgage insurance company may make early withdrawals from the contingency reserve
when incurred losses exceed 35% of net premiums earned in a calendar year.
Under Wisconsin and North Carolina law, as well as that of 14 other states, a mortgage insurer must maintain a minimum amount of statutory capital relative to its risk in force in order for the mortgage insurer to continue to write new business. While formulations of minimum capital vary in certain jurisdictions, the most common measure applied allows for a maximum risk-to-capital ratio of 25 to 1. Wisconsin and North Carolina require mortgage insurers to maintain a “minimum policyholder position” calculated in accordance with their respective regulations. Policyholders' position consists primarily of statutory policyholders' surplus plus the contingency loss reserves.
United Kingdom
The Prudential Regulation Authority (“PRA”) and the Financial Conduct Authority (“FCA”) regulate insurance and reinsurance companies and the FCA regulates firms carrying on insurance mediation activities operating in the U.K., both under the Financial Services and Markets Act 2000. In May 2004, Arch Insurance (U.K.) was granted the relevant permissions for the classes of insurance business which it underwrites in the U.K. AMAL currently manages Arch Syndicate 2012 and Arch Syndicate 1955 pursuant to its authorizations by the U.K. regulators and Lloyd’s. All U.K. companies are also subject to a range of statutory provisions, including the laws and regulations of the Companies Act 2006 (as amended) (the “U.K. Companies Act”).
Arch Insurance (U.K.) and AMAL must maintain a margin of solvency at all times under the Solvency II Directive from the European Insurance and Occupational Pensions Authority. The regulations stipulate that insurers are required to maintain the minimum capital requirement and solvency capital requirement at all times. At December 31, 2023 and 2022, these requirements were met.
As corporate members of Lloyd’s, AMAL (as managing agent of the Company’s Lloyd’s Syndicates) and each syndicate’s respective corporate members are subject to the oversight of the Council of Lloyd’s. The capital required to support a Syndicate’s underwriting capacity, or funds at Lloyd’s, is assessed annually and is determined by Lloyd’s in accordance with the capital adequacy rules established by the PRA. The Company has provided capital to support the underwriting of Arch Syndicate 2012 and Arch Syndicate 1955 in the form of pledged assets and letters of credit provided by Arch Re Bermuda. The amount which the Company provides as funds at Lloyd’s is not available for distribution to the Company for the payment of dividends. Lloyd’s is supervised by the PRA and required to implement certain rules prescribed by the PRA under the Lloyd’s Act of 1982 regarding the operation of the Lloyd’s market. With

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respect to managing agents and corporate members, Lloyd’s prescribes certain minimum standards relating to management and control, solvency and other requirements and monitors managing agents’ compliance with such standards.
Under U.K. law, all U.K. companies are restricted from declaring a dividend to their shareholders unless they have “profits available for distribution.” The calculation as to whether a company has sufficient profits is based on its accumulated realized profits minus its accumulated realized losses. U.K. insurance regulatory laws do not prohibit the payment of dividends, but the PRA or FCA, as applicable, requires that insurance companies and insurance intermediaries maintain certain solvency margins and may restrict the payment of a dividend by Arch Insurance (U.K.) and AMAL.
Canada
Arch Insurance Canada and the Canadian branch of Arch Re U.S. (“Arch Re Canada”) are subject to federal, as well as provincial and territorial, regulation in Canada. The Office of the Superintendent of Financial Institutions (“OSFI”) is the federal regulatory body that, under the Insurance Companies Act (Canada), regulates federal Canadian and non-Canadian insurance companies operating in Canada. Arch Insurance Canada and Arch Re Canada are subject to regulation in the provinces and territories in which they underwrite insurance/reinsurance, and the primary goal of insurance/reinsurance regulation at the provincial and territorial levels is to govern the market conduct of insurance/reinsurance companies. Arch Insurance Canada is licensed to carry on insurance business by OSFI and in each province and territory. Arch Re Canada is licensed to carry-on reinsurance business by OSFI and in the provinces of Ontario and Quebec.
Under the Insurance Companies Act (Canada), Arch Insurance Canada is required to maintain an adequate amount of capital in Canada, calculated in accordance with a test promulgated by OSFI called the Minimum Capital Test (“MCT”), and Arch Re Canada is required to maintain an adequate margin of assets over liabilities in Canada, calculated in accordance with a test promulgated by OSFI called the Branch Adequacy of Assets Test. Under the Insurance Companies Act (Canada), approval of the Minister of Finance (Canada) is required in connection with certain acquisitions of shares of, or control of, Canadian insurance companies such as Arch Insurance Canada, and notice to and/or approval of OSFI is required in connection with the payment of dividends by or redemption of shares by Canadian insurance companies such as Arch Insurance Canada.
Australia
The Australian Prudential Regulation Authority (“APRA”) is an independent statutory authority responsible for prudential supervision of institutions across banking, insurance and superannuation and promotes financial stability in Australia. Arch Indemnity has been authorized to conduct monoline lenders’ mortgage insurance business in Australia since June 2002 and was acquired by Arch Capital on August 30, 2021 and since that date is the primary provider of lenders’ mortgage insurance for the group. Arch Indemnity has also been licensed by the Australian Securities and Investments Commission (“ASIC”) since March 2011 to engage in credit activities in Australia. Arch LMI Pty Ltd. (“Arch LMI”) was formerly authorized by APRA in January 2019 to conduct monoline lenders’ mortgage insurance business in Australia; however, in December 2022, we converted Arch LMI to a services company for our Australian lenders mortgage insurance operations and the company relinquished its APRA authorization. Major regulatory requirements that are applicable to Arch Indemnity in general as an insurance provider and financial institution in Australia include requirements and compliance with minimum capital levels; risk management strategy; corporate governance standards, privacy legislation on the collection, use and storage of personal information; cyber security obligations imposed by APRA and ASIC; modern slavery legislation; anti-money laundering and counter-terrorism legislation. At December 31, 2023 and 2022, these requirements were met.
Arch Capital also conducts property and casualty insurance business in Australia through the Company’s Lloyd’s platform. This insurance business is managed by and distributed through local coverholders and is subject to Lloyd’s Supervision. In addition, the business is subject to local Australian prudential regulatory oversight by APRA, and additional separate financial services market conduct regulation by the Australian Securities and Investments Commission.

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ITEM 9. CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND FINANCIAL DISCLOSURE
None.
ITEM 9A. CONTROLS AND PROCEDURES
Evaluation of Disclosure Controls and Procedures
In connection with the filing of this Form 10-K, our management, including the Chief Executive Officer and Chief Financial Officer, conducted an evaluation of our disclosure controls and procedures, as of December 31, 2023, for the purposes set forth in the applicable rules under the Securities and Exchange Act of 1934, as amended (the “Exchange Act”). Based on that evaluation, the Chief Executive Officer and Chief Financial Officer concluded that, as of December 31, 2023, the disclosure controls and procedures were effective.
We continue to enhance our operating procedures and internal controls (including information technology initiatives and controls over financial reporting) to effectively support our business and our regulatory and reporting requirements. Our management does not expect that our disclosure controls or our internal controls will prevent all errors and all fraud. A control system, no matter how well conceived and operated, can provide only reasonable, not absolute, assurance that the objectives of the control system are met. Further, the design of a control system must reflect the fact that there are resource constraints, and the benefits of controls must be considered relative to their costs. As a result of the inherent limitations in all control systems, no evaluation of controls can provide absolute assurance that all control issues and instances of fraud, if any, within the company have been detected. These inherent limitations include the realities that judgments in decision making can be faulty, and that breakdowns can occur because of simple error or mistake. Additionally, controls can be circumvented by the individual acts of some persons or by collusion of two or more people.
The design of any system of controls also is based in part upon certain assumptions about the likelihood of future events, and there can be no assurance that any design will succeed in achieving its stated goals under all potential future conditions; over time, controls may become inadequate
because of changes in conditions, or the degree of compliance with the policies or procedures may deteriorate. As a result of the inherent limitations in a cost-effective control system, misstatement due to error or fraud may occur and not be detected. Accordingly, our disclosure controls and procedures are designed to provide reasonable, not absolute, assurance that the disclosure controls and procedures are met.
Management’s Annual Report on Internal Control Over Financial Reporting
Our management is responsible for establishing and maintaining adequate internal control over financial reporting, as defined in Rules 13a-15(f) and 15d-15(f) under the Exchange Act. Our management assessed the effectiveness of our internal control over financial reporting as of December 31, 2023. In making this assessment, management used the criteria set forth by the Committee of Sponsoring Organizations (COSO) of the Treadway Commission in Internal Control-Integrated Framework (2013).
Based on our assessment, management determined that, as of December 31, 2023, our internal control over financial reporting was effective. The effectiveness of our internal control over financial reporting as of December 31, 2023 has been audited by PricewaterhouseCoopers LLP, an independent registered public accounting firm, as stated in their report included in Item 8.
Changes in Internal Control Over Financial Reporting
There have been no changes in internal control over financial reporting that occurred in connection with our evaluation required pursuant to Rules 13a-15 and 15d-15 under the Exchange Act during the fiscal quarter ended December 31, 2023 that have materially affected, or are reasonably likely to materially affect, our internal control over financial reporting.


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ITEM 9B. OTHER INFORMATION
During the three months ended December 31, 2023, none of the Company’s directors or officers (as defined in Rule 16a-1(f) of the Securities Exchange Act of 1934) adopted or terminated a Rule 10b5-1 trading arrangement or non-Rule 10b5-1 trading arrangement (as such terms are defined in Item 408 of Regulation S-K of the Securities Act of 1933).
ITEM 9C. DISCLOSURE REGARDING FOREIGN JURISDICTIONS THAT PREVENT INSPECTIONS
Not applicable.
PART III
ITEM 10. DIRECTORS, EXECUTIVE OFFICERS AND CORPORATE GOVERNANCE
The information required by this item is incorporated by reference from the information to be included in our definitive proxy statement (“Proxy Statement”) for our annual meeting of shareholders to be held in 2024, which we intend to file with the SEC pursuant to Regulation 14A no later than 120 days after the end of the Company’s fiscal year which ended on December 31, 2023. Copies of our code of ethics applicable to our chief executive officer, chief financial officer and principal accounting officer or controller are available free of charge to investors upon written request addressed to the attention of Arch Capital’s corporate secretary, Waterloo House, 100 Pitts Bay Road, Pembroke HM 08, Bermuda. In addition, our code of ethics and certain other basic corporate documents, including the charters of our audit committee, compensation committee and nominating committee are posted on our website located at www.archgroup.com.
If any substantive amendments are made to the code of ethics or if there is a grant of a waiver, including any implicit waiver, we will disclose the nature of such amendment or waiver on our website or in a report on Form 8-K, to the extent required by applicable law or the rules and regulations of any exchange applicable to us. Our website address is intended to be an inactive, textual reference only and none of the material on our website is incorporated by reference into this report.
ITEM 11. EXECUTIVE COMPENSATION
The information required by this item is incorporated by reference from the information to be included in the Proxy Statement which we intend to file pursuant to Regulation 14A with the SEC no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2023, which Proxy Statement is incorporated by reference.

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ITEM 12. SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND MANAGEMENT AND RELATED STOCKHOLDER MATTERS
Other than the information set forth below, the information required by this item is incorporated by reference from the information to be included in the Proxy Statement which we intend to file pursuant to Regulation 14A with the SEC no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2023, which Proxy Statement is incorporated by reference.
The following information is as of December 31, 2023:
Column AColumn BColumn C
Plan CategoryNumber of Securities to be Issued Upon Exercise of Outstanding Stock Options(1), Warrants and RightsWeighted-Average Exercise Price of Outstanding
Stock Options(1), Warrants and Rights ($)
Number of Securities Remaining Available for Future Issuance Under Equity Compensation Plans (Excluding Securities Reflected in Column A)
Equity compensation plans approved by security holders12.9  $31.14  17.2  
Equity compensation plans not approved by security holders—  —  —  
Total12.9  $31.14  17.2 (2)
________________________
(1)    Includes all vested and unvested stock options outstanding of 12.5 million and restricted stock and performance units outstanding of 0.4 million. The weighted average exercise price does not take into account restricted stock units. In addition, the weighted average remaining contractual life of the Company's outstanding exercisable stock options and SARs at December 31, 2023 was 4.1 years.
(2)    Includes 3.6 million common shares remaining available for future issuance under our Employee Share Purchase Plan and 13.6 million common shares remaining available for future issuance under our equity compensation plans. Shares available for future issuance under our equity compensation plans may be issued in the form of stock options, SARs, restricted shares, restricted share units payable in common shares or cash, share awards in lieu of cash awards, dividend equivalents, performance shares and performance units and other share-based awards. In addition, 9.4 million common shares, or 54.7% of the 17.2 million common shares remaining available for future issuance may be issued in connection with full value awards (i.e., awards other than stock options or SARs).
ITEM 13. CERTAIN RELATIONSHIPS AND RELATED TRANSACTIONS, AND DIRECTOR INDEPENDENCE
The information required by this item is incorporated by reference from the information to be included in the Proxy Statement which we intend to file pursuant to Regulation 14A with the SEC no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2023, which Proxy Statement is incorporated by reference.
ITEM 14. PRINCIPAL ACCOUNTANT FEES AND SERVICES
The information required by this item is incorporated by reference from the information to be included in our Proxy Statement which we intend to file pursuant to Regulation 14A with the SEC no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2023, which Proxy Statement is incorporated by reference.

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PART IV
ITEM 15. EXHIBITS AND FINANCIAL STATEMENT SCHEDULES

(a) Financial Statements, Financial Statement Schedules and Exhibits.
1. Financial Statements
Included in Part II – see Item 8 of this report.
2. Financial Statement Schedules
Page No.
As of December 31, 2023 and 2022, and for the years ended December 31, 2023, 2022 and 2021
For the years ended December 31, 2023, 2022 and 2021
For the years ended December 31, 2023, 2022 and 2021
For the years ended December 31, 2023, 2022 and 2021
Schedules other than those listed above are omitted for the reason that they are not applicable or the information is provided in Item 8 of this report.

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3. Exhibits
Incorporated by Reference
Exhibit NumberExhibit DescriptionFormOriginal NumberDate FiledFiled Herewith
2.1S-43.1September 8, 2000
2.210-Q3August 5, 2016
2.310-K3.3February 28, 2011
3.18-K4.1August 17, 2017
3.28-K4.1June 11, 2021
3.310-K4.1April 2, 2001
3.48-K4.2August 17, 2017
3.58-K4.2June 11, 2021
4.18-K4.1June 30, 2020
4.28-K99.3May 7, 2004
4.38-K4.2June 30, 2020
4.4.18-K4.1December 13, 2013
4.4.28-K4.2December 13, 2013
4.4.3

8-K4.1May 15, 2018
4.5.18-K4.3August 17, 2017
4.5.28-K4.3June 11, 2021
4.6.18-K4.4August 17, 2017
4.6.28-K4.4June 11, 2021
4.7.18-K4.1December 9, 2016
4.7.28-K4.2December 9, 2016
4.810-K4.8February 25, 2022
10.2.110-Q10.7August 5, 2016
10.2.210-Q10.1May 5, 2017
10.2.310-K4.8February 25, 2022
10.2.410-Q10.1May 4, 2023
10.3.1DEF 14AApril 3, 2007
10.3.2DEF 14AMarch 27, 2012
10.3.3DEF 14AMarch 26, 2015
10.3.4DEF 14AMarch 28, 2018
10.3.5DEF 14AMarch 23, 2023
10.3.68-K10.1May 4, 2022
10.4.110-Q10.2August 7, 2015
10.4.210-Q10.2August 5, 2016
10.4.310-Q10.3August 4, 2017

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10.4.410-Q10.4August 4, 2017
10.4.510-K10.4.13February 28, 2018
10.4.610-Q10.3August 8, 2018
10.4.710-Q10.6August 8, 2018
10.510-Q10.5August 8, 2018
10.6.110-Q10.3August 7, 2015
10.6.210-Q10.3August 5, 2016
10.6.310-Q10.5August 4, 2017
10.6.410-K10.5.6February 28, 2018
10.6.510-K10.5.7February 28, 2018
10.6.610-Q10.4August 8, 2018
10.6.710-Q10.5May 9, 2018
10.7.110-Q10.2November 8, 2013
10.7.210-Q10.3August 8, 2014
10.7.310-Q10.15November 3, 2017
10.7.410-Q10.2May 8, 2015
10.8.18-K10.1October 28, 2008
10.8.210-Q10.1May 8, 2015
10.8.310-Q10.1May 9, 2018
10.1010-Q10.26November 3, 2017
10.1110-Q10.27November 3, 2017
10.128-K/A10.1July 26, 2018
10.138-K/A10.1April 11, 2018
10.1410-K10.16February 28, 2019
10.1510-K10.16February 28, 2020
10.1610-Q10.1August 5, 2021
10.1710-K10.24March 2, 2009
10.18.18-K10.1December 18, 2019
10.18.210-Q10.1November 4, 2021

ARCH CAPITAL
176
2023 FORM 10-K

10.18.310-Q10.2November 4, 2021
10.18.48-K10.1April 12, 2022
10.18.510-Q10.1November 9, 2023
10.198-K10.1October 2, 2023
10.208-K10.1October 30, 2023
21X
23X
24X
31.1X
31.2X
32.1X
32.2X
97.1X
101
The following financial information from ACGL’s Annual Report on Form 10-K for the year ended December 31, 2023 formatted in Inline XBRL: (i) Consolidated Balance Sheets at December 31, 2023 and 2022; (ii) Consolidated Statements of Income for the years ended December 31, 2023, 2022 and 2021; (iii) Consolidated Statements of Comprehensive Income for the years ended December 31, 2023, 2022 and 2021; (iv) Consolidated Statements of Changes in Shareholders’ Equity for the years ended December 31, 2023, 2022 and 2021; (v) Consolidated Statements of Cash Flows for the years ended December 31, 2023, 2022 and 2021; and (vi) Notes to Consolidated Financial Statements
X
104Cove Page Interactive Data File (embedded within the Inline XBRL document)
(1) Certain schedules and exhibits have been omitted pursuant to Item 601(b)(10) of Regulation S-K. The Company hereby undertakes to furnish supplemental copies of any of the omitted schedules and exhibits to the SEC upon request.
    Management contract or compensatory plan or arrangement.

ARCH CAPITAL
177
2023 FORM 10-K

SIGNATURES
Pursuant to the requirements of Section 13 or 15(d) of the Securities Exchange Act of 1934, the Registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.
ARCH CAPITAL GROUP LTD.
(Registrant)
By:
/s/ Marc Grandisson
Name:Marc Grandisson
Title:
Chief Executive Officer (Principal Executive Officer)

February 23, 2024
Pursuant to the requirements of the Securities Exchange Act of 1934, this report has been signed below by the following persons on behalf of the Registrant and in the capacities and on the dates indicated.
NameTitleDate
/s/ Marc Grandisson
Marc GrandissonChief Executive Officer (Principal Executive Officer)
February 23, 2024
/s/ François Morin
François MorinExecutive Vice President and Chief Financial Officer (Principal Financial Officer and Principal Accounting Officer) and TreasurerFebruary 23, 2024
*
John M. PasquesiChairman of the Board
February 23, 2024
*
John L. Bunce, Jr.DirectorFebruary 23, 2024
*
Eric W. DoppstadtDirectorFebruary 23, 2024
*
Francis EbongDirectorFebruary 23, 2024
*
Laurie S. GoodmanDirectorFebruary 23, 2024

ARCH CAPITAL
178
2023 FORM 10-K

NameTitleDate
*
Moira KilcoyneDirectorFebruary 23, 2024
*
Eileen MalleschDirectorFebruary 23, 2024
*
Louis J. PagliaDirectorFebruary 23, 2024
*
Brian S. Posner
DirectorFebruary 23, 2024
*
Eugene S. SunshineDirectorFebruary 23, 2024
*
John D. VollaroDirectorFebruary 23, 2024

___________________
*    By François Morin, as attorney-in-fact and agent, pursuant to a power of attorney, a copy of which has been filed with the Securities and Exchange Commission as Exhibit 24 to this report.

/s/ François Morin
Name:
François Morin
Attorney-in-Fact


ARCH CAPITAL
179
2023 FORM 10-K

SCHEDULE II


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in millions)

Balance Sheet
(Parent Company Only)


December 31,
20232022
Assets
Total investments$17 $7 
Cash9 11 
Investments in subsidiaries19,590 14,191 
Investment in operating affiliates4 5 
Due from subsidiaries and affiliates 2 
Other assets58 18 
Total assets$19,678 $14,234 
Liabilities
Senior notes$1,287 $1,287 
Other liabilities38 37 
Total liabilities1,325 1,324 
Shareholders' Equity
Non-cumulative preferred shares830 830 
Common shares ($0.0011 par, shares issued: 591.9 and 588.3)
1 1 
Additional paid-in capital2,327 2,211 
Retained earnings20,295 15,892 
Accumulated other comprehensive income (loss), net of deferred income tax(676)(1,646)
Common shares held in treasury, at cost (shares: 218.5 and 217.9)
(4,424)(4,378)
Total shareholders' equity$18,353 $12,910 
Total liabilities and shareholders' equity$19,678 $14,234 


The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.


ARCH CAPITAL
180
2023 FORM 10-K

SCHEDULE II
(continued)

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in millions)

Statement of Income
(Parent Company Only)


Year Ended
December 31,
202320222021
Revenues
Net investment income$2 $2 $2 
Total revenues2 2 2 
Expenses
Corporate expenses93 86 72 
Interest expense59 59 59 
Total expenses152 145 131 
Income (loss) before income taxes and income (loss) from operating affiliates(150)(143)(129)
Income tax (expense) benefit41   
Income (loss) from operating affiliates(1)(1)(1)
Income (loss) before equity in net income of subsidiaries(110)(144)(130)
Equity in net income of subsidiaries4,553 1,593 2,287 
Net income available to Arch4,443 1,449 2,157 
Preferred dividends(40)(40)(48)
Loss on redemption of preferred shares  (15)
Net income available to Arch common shareholders$4,403 $1,409 $2,094 

The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.


ARCH CAPITAL
181
2023 FORM 10-K





SCHEDULE II
(continued)


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in millions)

Statement of Cash Flows
(Parent Company Only)



Year Ended
December 31,
202320222021
Operating Activities:
Net Cash Provided By Operating Activities$46 $621 $1,728 
Investing Activities:
Net (purchases) sales of short-term investments(8)(5)(2)
Capital contributed to subsidiaries  (487)
Purchase of fixed assets  (1)
Other1 (1) 
Net Cash Used For Investing Activities(7)(6)(490)
Financing Activities:
Purchases of common shares under share repurchase program (586)(1,234)
Proceeds from common shares issued, net(2)6 6 
Proceeds from issuance of preferred shares, net  486 
Redemption of preferred shares  (450)
Preferred dividends paid(40)(40)(48)
Net Cash Used For Financing Activities(42)(620)(1,240)
Increase (decrease) in cash and restricted cash(3)(5)(2)
Cash and restricted cash, beginning of year12 17 19 
Cash and restricted cash, end of period$9 $12 $17 


The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.

ARCH CAPITAL
182
2023 FORM 10-K

SCHEDULE III


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
SUPPLEMENTARY INSURANCE INFORMATION
(U.S. dollars in millions)
Deferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesUnearned PremiumsNet Premiums EarnedNet Investment Income (1)Net Losses and Loss Adjustment Expenses IncurredAmortization of Deferred Acquisition CostsOther Operating Expenses (2)Net Premiums Written
December 31, 2023
Insurance$566 $12,250 $3,917 $5,446 NM$3,122 $1,055 $819 $5,862 
Reinsurance901 9,924 4,254 5,836 NM3,227 1,240 288 6,554 
Mortgage64 578 637 1,158 NM(103)17 194 1,052 
Other
Total$1,531 $22,752 $8,808 $12,440 NM$6,246 $2,312 $1,301 $13,468 
December 31, 2022
Insurance$301 $11,017 $3,382 $4,560 NM$2,784 $887 $665 $5,021 
Reinsurance992 8,306 3,206 3,959 NM2,568 813 268 4,924 
Mortgage(30)709 749 1,160 NM(324)40 195 1,133 
Other
Total$1,263 $20,032 $7,337 $9,679 NM$5,028 $1,740 $1,128 $11,078 
December 31, 2021
Insurance$378 $9,811 $2,938 $3,625 NM$2,345 $606 $559 $4,149 
Reinsurance424 6,879 2,263 2,841 NM1,925 537 214 3,254 
Mortgage99 1,068 811 1,283 NM57 97 193 1,261 
Other333 NM258 63 33 353 
Total$901 $17,758 $6,012 $8,082 NM$4,585 $1,303 $999 $9,017 
(1)    The Company does not manage its assets by segment and, accordingly, net investment income is not allocated to each underwriting segment. See note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the ‘other’ segment.
(2)    Certain other operating expenses relate to the Company’s corporate segment. Such amounts are not reflected in the table above. See note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the corporate segment.

ARCH CAPITAL
183
2023 FORM 10-K

SCHEDULE IV
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
REINSURANCE
(U.S. dollars in millions)
Gross AmountCeded to Other Companies (1)Assumed From Other Companies (1)Net
Amount
Percentage of Amount Assumed to Net
Year Ended December 31, 2023
Premiums Written:
Insurance
$7,865 $(2,049)$46 $5,862 0.8 %
Reinsurance
626 (2,559)8,487 6,554 129.5 %
Mortgage
1,161 (335)226 1,052 21.5 %
Total
$9,652 $(4,935)$8,751 $13,468 65.0 %
Year Ended December 31, 2022
Premiums Written:
Insurance
$6,889 $(1,910)$42 $5,021 0.8 %
Reinsurance
397 (2,024)6,553 4,924 133.1 %
Mortgage
1,256 (322)199 1,133 17.6 %
Total
$8,542 $(4,249)$6,785 $11,078 61.2 %
Year Ended December 31, 2021
Premiums Written:
Insurance
$5,834 $(1,719)$34 $4,149 0.8 %
Reinsurance
409 (1,840)4,685 3,254 144.0 %
Mortgage
1,213 (247)294 1,261 23.3 %
Other
251 (105)206 353 58.4 %
Total
$7,707 $(3,735)$5,045 $9,017 55.9 %
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.


ARCH CAPITAL
184
2023 FORM 10-K

SCHEDULE VI
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
SUPPLEMENTARY INFORMATION FOR PROPERTY AND CASUALTY INSURANCE UNDERWRITERS
(U.S. dollars in millions)
Column AColumn BColumn CColumn DColumn EColumn FColumn GColumn HColumn IColumn JColumn K
Affiliation with RegistrantDeferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesDiscount, if any, deducted in Column CUnearned PremiumsNet
Premiums Earned
Net Investment IncomeNet Losses and Loss Adjustment Expenses Incurred Related toAmortization
of Deferred Acquisition Costs
Net Paid Losses and Loss Adjustment ExpensesNet
Premiums Written
(a) Current Year(b)
Prior Years
Consolidated Subsidiaries
2023$1,531 $22,752 $66 $8,808 $12,440 $1,023 $6,784 $(538)$2,312 $4,093 $13,468 
20221,263 20,032 61 7,337 9,679 496 5,797 (769)1,740 3,141 11,078 
2021901 17,758 56 6,012 8,082 389 4,940 (355)1,303 2,827 9,017 
ITEM 16.     FORM 10-K SUMMARY
Not applicable.


ARCH CAPITAL
185
2023 FORM 10-K
EX-21 2 a2023ex21.htm EX-21 Document

Exhibit 21

SUBSIDIARIES OF REGISTRANT
NameJurisdiction of Incorporation
Alternative Re Holdings LimitedBermuda
Alternative Re LimitedBermuda
Alwyn Insurance Company LimitedGibraltar
Arch Capital Finance (Ireland) LimitedIreland
Arch Capital Finance LLCDelaware
Arch Capital Group (U.S.) Inc.Delaware
Arch Capital Holdings Ltd.Bermuda
Arch Capital Services LLCDelaware
Arch Credit Risk Services (Bermuda) Ltd.Bermuda
Arch Europe Insurance Services LtdUnited Kingdom
Arch Financial Holdings Australia Pty LtdAustralia
Arch Financial Holdings B.V.Netherlands
Arch Financial Holdings Canada Ltd.
Canada
Arch Financial Holdings Europe I LimitedIreland
Arch Financial Holdings Europe II LimitedIreland
Arch Financial Holdings Europe III LimitedIreland
Arch Financial Holdings Europe IV LimitedIreland
Arch Financial Holdings (UK) LimitedUnited Kingdom
Arch Fund Management Ltd.Bermuda
Arch Global Services (Cyprus) Ltd.Cyprus
Arch Global Services (Philippines) Inc.
Philippines
Arch Global Services Holdings Ltd.
Philippines
Arch Group FoundationDelaware
Arch Group Reinsurance LimitedBermuda
Arch Indemnity Insurance CompanyMissouri



Arch Insurance (EU) Designated Activity CompanyIreland
Arch Insurance (UK) LimitedUnited Kingdom
Arch Insurance Canada Ltd.Canada
Arch Insurance CompanyMissouri
Arch Insurance Group Inc.Delaware
Arch Insurance Solutions Inc.Delaware
Arch Intermediaries Group Limited United Kingdom
Arch Investment Holdings (Cyprus) LtdCyprus
Arch Investment Holdings I Ltd.Bermuda
Arch Investment Holdings II Ltd.Bermuda
Arch Investment Holdings III Ltd.Bermuda
Arch Investment Holdings IV Ltd.Bermuda
Arch Investment ICAV
Ireland
Arch Investments II LLCDelaware
Arch Investment Management Ltd.Bermuda
Arch Investment Property Holdings Ltd.Bermuda
Arch Lenders Mortgage Indemnity Limited
Australia
Arch Life Insurance Company of America Kansas
Arch LMI Pty LtdAustralia
Arch Managing Agency LimitedUnited Kingdom
Arch MI Asia LimitedHong Kong
Arch Mortgage Assurance CompanyWisconsin
Arch Mortgage Funding, Inc.Delaware
Arch Mortgage Guaranty CompanyWisconsin
Arch Mortgage Insurance CompanyWisconsin
Arch Mortgage Risk Transfer Holdings Inc.Delaware
Arch Mortgage Risk Transfer PCC IncDistrict of Columbia
Arch Property Casualty Insurance CompanyMissouri
Arch Re Underwriting ApSDenmark



Arch Reinsurance CompanyDelaware
Arch Reinsurance Europe Underwriting Designated Activity CompanyIreland
Arch Reinsurance Ltd.Bermuda
Arch Services Holdings Inc.
Delaware
Arch Specialty Insurance Agency Inc.Missouri
Arch Specialty Insurance CompanyMissouri
Arch Syndicate Investments LtdUnited Kingdom
Arch Underwriters Ltd.Bermuda
Arch Underwriters Europe LimitedIreland
Arch Underwriters (Gulf) LimitedDubai International Financial Centre
Arch Underwriting Agency (Australia) Pty. Ltd.Australia
Arch Underwriting Agency LLCDelaware
Arch Underwriting at Lloyd’s LtdUnited Kingdom
Arch Underwriting at Lloyd’s (Australia) Pty LtdAustralia
Arch Underwriters IncDelaware
Arch U.S. MI Holdings Inc.Delaware
Arch U.S. MI Services Inc.Delaware
Axiom Underwriting Agency LimitedUnited Kingdom
Barbican Company LimitedGuernsey
Barbican Group Holdings LimitedGuernsey
Barbican Specialty Reinsurance Company LimitedGuernsey
Barbican Underwriting LimitedUnited Kingdom
First American Service CorporationMissouri
First Shield Consumer Service CorporationMissouri
First Shield Consumer Service Corporation of FloridaMissouri
First Shield Service CorporationMissouri
First Shield Service Corporation of FloridaMissouri
Gulf Re Holdings LimitedJersey (Channel Islands)



Gulf Reinsurance LimitedDubai International Financial Centre
McNeil & Company, Inc.New York
Obelisk Underwriting LimitedUnited Kingdom
Out of Towne, LLCVirginia
Penflex Actuarial Services LLCNew York
SALT Insurance Services LimitedUnited Kingdom
Somerset Bridge Group Limited United Kingdom
   
Somerset Bridge Insurance Services Limited United Kingdom
   
Somerset Bridge Ltd United Kingdom
   
Somerset Bridge Shared Services Limited United Kingdom
Soundview Claims Solutions Inc. Delaware
Southern Rock Holdings Limited Gibraltar
Southern Rock Insurance Company Limited Gibraltar
Stoneshore Insurance LimitedBermuda
Thomas Underwriting Agency LtdUnited Kingdom
United Guaranty Residential Insurance CompanyNorth Carolina
United Guaranty Residential Insurance Company of North CarolinaNorth Carolina
United Guaranty Services, Inc.North Carolina
Ventus Risk Management, Inc.Delaware
Verifly Holdings LtdUnited Kingdom
Verifly Insurance Services, LLCDelaware
Verifly Technology Holdings LimitedIreland
Verifly Technology LimitedIreland
Verifly USA, LLCDelaware


EX-23 3 a2023ex23.htm EX-23 Document

Exhibit 23
CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM
We hereby consent to the incorporation by reference in the Registration Statements on Form S-3 (No. 333-275570) and Form S-8 (Nos. 333-224783, 333-211193, 333-142835, 333-181308, 333- 203993, 333-265285 and 333-2971975) of Arch Capital Group Ltd. of our report dated February 23, 2024, relating to the financial statements, financial statement schedules and the effectiveness of internal control over financial reporting, which appears in this Form 10-K.
/s/ PricewaterhouseCoopers LLP

New York, New York
February 23, 2024


EX-24 4 a2023ex24.htm EX-24 Document
Exhibit 24
Power of Attorney
KNOW ALL PERSONS BY THESE PRESENTS, that each person whose signature appears below constitutes and appoints Marc Grandisson and François Morin as his or her true and lawful attorney-in-fact and agent, with full power of substitution and resubstitution, for him and in his name, place and stead, in any and all capacities, to sign Arch Capital Group Ltd.’s Annual Report on Form 10-K for the year ended December 31, 2023 and any and all amendments and supplements thereto, and to file the same with the Commission, granting unto said attorney-in-fact and agent full power and authority to do and perform each and every act and thing requisite and necessary to be done in connection therewith, as fully to all intents and purposes as he or she might or could do in person, hereby ratifying and confirming all that said attorney-in-fact and agent, or his substitute or substitutes, may lawfully do or cause to be done by virtue hereof.

Signature
Title
Date
/s/ Marc Grandisson
Chief Executive Officer (Principal Executive Officer)
February 23, 2024
Marc Grandisson
/s/ François Morin
Executive Vice President and Chief Financial Officer (Principal Financial Officer and Principal Accounting Officer) and Treasurer
February 23, 2024
François Morin
/s/ John M. Pasquesi
Chairman of the Board
February 23, 2024
John M. Pasquesi
/s/ John L. Bunce, Jr.
Director
February 23, 2024
John L. Bunce, Jr.
/s/ Eric W. Doppstadt
Director
February 23, 2024
Eric W. Doppstadt
/s/Francis Ebong
Director
February 23, 2024
Francis Ebong
/s/ Laurie S. Goodman
Director
February 23, 2024
Laurie S. Goodman
/s/ Moira Kilcoyne
Director
February 23, 2024
Moira Kilcoyne
/s/ Eileen Mallesch
Director
February 23, 2024
Eileen Mallesch
/s/ Louis J. Paglia
Director
February 23, 2024
Louis J. Paglia
/s/ Brian S. Posner
Director
February 23, 2024
Brian S. Posner
/s/ Eugene S. Sunshine
Director
February 23, 2024
Eugene S. Sunshine
/s/ John D. Vollaro
Director
February 23, 2024
John D. Vollaro

EX-31.1 5 a2023ex311.htm EX-31.1 Document

Exhibit 31.1

Certification
of Chief Executive Officer
Pursuant to Section 302 of the
Sarbanes-Oxley Act of 2002

I, Marc Grandisson, certify that:

1.I have reviewed this annual report on Form 10-K of Arch Capital Group Ltd.;
2.Based on my knowledge, this report does not contain any untrue statement of a material fact or omit to state a material fact necessary to make the statements made, in light of the circumstances under which such statements were made, not misleading with respect to the period covered by this report;
3.Based on my knowledge, the financial statements, and other financial information included in this report, fairly present in all material respects the financial condition, results of operations and cash flows of the registrant as of, and for, the periods presented in the report;
4.The registrant’s other certifying officer and I are responsible for establishing and maintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) and internal control over financial reporting (as defined in Exchange Act Rules 13a-15(f) and 15d-15(f)) for the registrant and have:
a.Designed such disclosure controls and procedures, or caused such disclosure controls and procedures to be designed under our supervision, to ensure that material information relating to the registrant, including its consolidated subsidiaries, is made known to us by others within those entities, particularly during the period in which this report is being prepared;
b.Designed such internal control over financial reporting, or caused such internal control over financial reporting to be designed under our supervision, to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally accepted accounting principles;
c.Evaluated the effectiveness of the registrant’s disclosure controls and procedures and presented in this report our conclusions about the effectiveness of the disclosure controls and procedures, as of the end of the period covered by this report based on such evaluation; and
d.Disclosed in this report any change in the registrant’s internal control over financial reporting that occurred during the registrant’s most recent fiscal quarter (the registrant’s fourth fiscal quarter in the case of an annual report) that has materially affected, or is reasonably likely to materially affect, the registrant’s internal control over financial reporting; and
5.The registrant’s other certifying officer and I have disclosed, based on our most recent evaluation of internal control over financial reporting, to the registrant’s auditors and to the audit committee of registrant’s board of directors (or persons performing the equivalent functions):
a.    All significant deficiencies and material weaknesses in the design or operation of internal control over financial reporting which are reasonably likely to adversely affect the registrant’s ability to record, process, summarize and report financial information; and
b.    Any fraud, whether or not material, that involves management or other employees who have a significant role in the registrant’s internal control over financial reporting.

Date:February 23, 2024
By:/s/ Marc Grandisson
Name:Marc Grandisson
Title:Chief Executive Officer


EX-31.2 6 a2023ex312.htm EX-31.2 Document

Exhibit 31.2

Certification
of Chief Financial Officer
Pursuant to Section 302 of the
Sarbanes-Oxley Act of 2002

I, François Morin, certify that:

1.I have reviewed this annual report on Form 10-K of Arch Capital Group Ltd.;
2.Based on my knowledge, this report does not contain any untrue statement of a material fact or omit to state a material fact necessary to make the statements made, in light of the circumstances under which such statements were made, not misleading with respect to the period covered by this report;
3.Based on my knowledge, the financial statements, and other financial information included in this report, fairly present in all material respects the financial condition, results of operations and cash flows of the registrant as of, and for, the periods presented in the report;
4.The registrant’s other certifying officer and I are responsible for establishing and maintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) and internal control over financial reporting (as defined in Exchange Act Rules 13a-15(f) and 15d-15(f)) for the registrant and have:
a.Designed such disclosure controls and procedures, or caused such disclosure controls and procedures to be designed under our supervision, to ensure that material information relating to the registrant, including its consolidated subsidiaries, is made known to us by others within those entities, particularly during the period in which this report is being prepared;
b.Designed such internal control over financial reporting, or caused such internal control over financial reporting to be designed under our supervision, to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally accepted accounting principles;
c.Evaluated the effectiveness of the registrant’s disclosure controls and procedures and presented in this report our conclusions about the effectiveness of the disclosure controls and procedures, as of the end of the period covered by this report based on such evaluation; and
d.Disclosed in this report any change in the registrant’s internal control over financial reporting that occurred during the registrant’s most recent fiscal quarter (the registrant’s fourth fiscal quarter in the case of an annual report) that has materially affected, or is reasonably likely to materially affect, the registrant’s internal control over financial reporting; and
5.The registrant’s other certifying officer and I have disclosed, based on our most recent evaluation of internal control over financial reporting, to the registrant’s auditors and to the audit committee of registrant’s board of directors (or persons performing the equivalent functions):
a.    All significant deficiencies and material weaknesses in the design or operation of internal control over financial reporting which are reasonably likely to adversely affect the registrant’s ability to record, process, summarize and report financial information; and
b.    Any fraud, whether or not material, that involves management or other employees who have a significant role in the registrant’s internal control over financial reporting.
Date:February 23, 2024
By:/s/ François Morin
Name:François Morin
Title:Executive Vice President, Chief Financial Officer and Treasurer



EX-32.1 7 a2023ex321.htm EX-32.1 Document

Exhibit 32.1

Certification Pursuant to Chapter 63, Title 18 United States Code §1350
As Adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002


In connection with the Annual Report of Arch Capital Group Ltd. (the “Company”) on Form 10-K for the period ending December 31, 2023 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), Marc Grandisson, as Chief Executive Officer of the Company, certifies pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:
(1)the Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934; and
(2)the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.
Date:February 23, 2024
By:/s/ Marc Grandisson
Name:Marc Grandisson
Title:Chief Executive Officer


A signed original of this written statement required by Section 906 or other document authenticating, acknowledging or otherwise adopting the signature that appears in typed form within the electronic version of this written statement required by Section 906, has been provided to Arch Capital Group Ltd. and will be retained by Arch Capital Group Ltd. and furnished to the Securities and Exchange Commission or its staff upon request.

EX-32.2 8 a2023ex322.htm EX-32.2 Document

Exhibit 32.2

Certification Pursuant to Chapter 63, Title 18 United States Code §1350
As Adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002

In connection with the Annual Report of Arch Capital Group Ltd. (the “Company”) on Form 10-K for the period ending December 31, 2023 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), François Morin, as Executive Vice President, Chief Financial Officer and Treasurer of the Company, certifies pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:
(1)the Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934; and
(2)the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.
Date:February 23, 2024
By:/s/ François Morin
Name:François Morin
Title:Executive Vice President, Chief Financial Officer and Treasurer


A signed original of this written statement required by Section 906 or other document authenticating, acknowledging or otherwise adopting the signature that appears in typed form within the electronic version of this written statement required by Section 906, has been provided to Arch Capital Group Ltd. and will be retained by Arch Capital Group Ltd. and furnished to the Securities and Exchange Commission or its staff upon request.

EX-97.1 9 ex971.htm EX-97.1 Document

Exhibit 97.1

ARCH CAPITAL GROUP LTD. (the “Company”)
CLAWBACK POLICY
Adopted by the Board of Directors as of December 1, 2023

1.Overview. The Board of Directors of the Company (the “Board”) believes that it is in the best interests of the Company and its shareholders to ensure that Incentive-Based Compensation is paid or awarded based on accurate financial results and the correct calculation of performance against incentive targets. The Board therefore has adopted this policy, which provides for the recoupment of certain executive compensation in the event of an accounting restatement due to the material noncompliance of the Company with any financial reporting requirement under the securities laws (the “Policy”). This Policy is designed to comply with Section 10D of the Securities Exchange Act of 1934, as amended (the “Exchange Act”), as well as the listing standards of the Nasdaq Stock Market LLC (“Nasdaq”).

2.Effective Date. This Policy shall be effective as of December 1, 2023 (the “Effective Date”), and shall apply to Incentive-Based Compensation that is received by Covered Executives on or after October 2, 2023.

3.Compensation Committee. This Policy shall be administered by the Compensation Committee of the Board (the “Compensation Committee”). The Compensation Committee shall have full authority to interpret and enforce this Policy in accordance with its business judgment. It is intended that this Policy be interpreted in a manner that is consistent with the requirements of Section 10D of the Exchange Act and the listing standards of Nasdaq. Any determinations made by the Compensation Committee shall be final and binding on all affected individuals.

4.Covered Executives. This Policy applies to the Company’s current and former executive officers, as determined by the Compensation Committee in accordance with Section 10D of the Exchange Act and the listing standards of Nasdaq (“Covered Executives”). For the avoidance of doubt, such individuals shall include the Company’s president, principal financial officer, principal accounting officer (or, if there is no such accounting officer, the controller), any vice-president of the Company in charge of a principal business unit, division or function (such as sales, administration or finance), any other officer who performs a policy-making function, or any other person who performs similar policy-making functions for the Company. Officers of the Company’s subsidiaries shall be deemed officers of the Company if they perform such policy-making functions for the Company.

5.Recoupment; Accounting Restatement. In the event that the Company is required to prepare an accounting restatement due to the material noncompliance of the Company with any financial reporting requirement under the securities laws (including (i) any required accounting restatement to correct an error in previously issued financial statements that is material to the previously issued financial statements, or (ii) that would result in a material misstatement if the error were corrected in the current period or left uncorrected in the current period), the Company will recover reasonably promptly the amount of erroneously awarded Incentive-Based Compensation received after beginning service as an executive officer by the Covered Executives during the last three (3) completed fiscal years immediately preceding the earlier of (x) the date the Board, a committee of the Board, or the officer or officers of the Company authorized to take such action if Board action is not required, concludes, or reasonably should have concluded, that an accounting restatement is required, or (y) the date a court, regulator or other legally authorized body directs the Company to prepare an accounting restatement. Incentive-Based Compensation is deemed received in the Company’s fiscal period during which the financial reporting measure specified in the Incentive-Based Compensation award is attained, even if the payment or grant of the Incentive-Based Compensation occurs after the end of that period. Such recovery shall apply to any Covered Executive who served as an executive officer at any time during the performance period for the Incentive-Based Compensation.




6.Incentive-Based Compensation. For purposes of the Policy, “Incentive-Based Compensation” means any compensation that is granted, earned or vested based wholly or in part upon the attainment of a financial reporting measure. “Financial reporting measures” are measures that are determined and presented in accordance with the accounting principles used in preparing the Company’s financial statements, and any measures that are derived wholly or in part from such measures. Stock price and total shareholder return are also financial reporting measures. A financial reporting measure need not be presented within the financial statements or included in a filing with the Securities and Exchange Commission.

7.Amount Subject to Recovery. The amount of erroneously awarded Incentive-Based Compensation to be recovered is the amount of Incentive-Based Compensation received that exceeds the amount of Incentive-Based Compensation that otherwise would have been received had it been determined based on the restated amounts, and must be computed without regard to any taxes paid. For Incentive-Based Compensation based on stock price or total shareholder return, where the amount of erroneously awarded Incentive-Based Compensation is not subject to mathematical recalculation directly from the information in an accounting restatement, the amount must be based on a reasonable estimate of the effect of the accounting restatement on the stock price or total shareholder return upon which the Incentive-Based Compensation was received and the Company shall maintain documentation of the determination of that reasonable estimate and provide such documentation to Nasdaq. The Company must recover erroneously awarded Incentive-Based Compensation in compliance with this paragraph except to the extent that the Compensation Committee has made a determination, in accordance with Rule 10D-1 of the Exchange Act and the listing standards of Nasdaq, that recovery would be impracticable on account of any of the following reasons: (i) the direct expense paid to a third party to assist in enforcing this Policy would exceed the amount to be recovered and the Company has made a reasonable attempt to recover such amount and provided documentation of such recovery attempts to Nasdaq; or (ii) recovery would likely cause an otherwise tax-qualified retirement plan, under which benefits are broadly available to employees of the Company, to fail to meet the requirements of Section 401(a)(13) or 411(a) of the Internal Revenue Code.

8.Form of Recovery. The Compensation Committee will determine, in its sole discretion, the method for recovering Incentive-Based Compensation hereunder, which may include without limitation (a) seeking reimbursement of all or part of any cash or equity-based award, (b) cancelling prior cash or equity-based awards, whether vested or unvested or paid or unpaid, (c) cancelling or offsetting against any planned future cash or equity-based awards, (d) forfeiture of deferred compensation, subject to compliance with Section 409A of the Internal Revenue Code and the regulations promulgated thereunder and (e) any other method authorized by applicable law or contract. Subject to compliance with any applicable law, the Compensation Committee may effect recovery under this Policy from any amount otherwise payable to the Covered Executive, including amounts payable to such individual under any otherwise applicable Company plan or program, including base salary, bonuses or commissions and compensation previously deferred by the Covered Executive.

9.No Indemnification of Covered Executives. The Company shall not indemnify any Covered Executives against the loss of any erroneously awarded Incentive-Based Compensation, including any payment or reimbursement for the cost of third-party insurance purchased by any Covered Executive to fund potential clawback obligations under this Policy.

10.Administrator Indemnification. Any members of the Compensation Committee, and any other members of the Board who assist in the administration of this Policy, shall not be personally liable for any action, determination or interpretation made with respect to this Policy and shall be fully indemnified by the Company to the fullest extent under applicable law and Company policy with respect to any such action, determination or interpretation. The foregoing sentence shall not limit any other rights to indemnification of the members of the Board under applicable law or Company policy.
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11.Amendment; Termination. The Board may amend this Policy from time to time in its discretion. The Board may terminate this Policy at any time. Notwithstanding anything in this Section 11 to the contrary, no amendment or termination of this Policy shall be effective if such amendment or termination would (after taking into account any actions taken by the Company contemporaneously with such amendment or termination) cause the Company to violate any federal securities laws, SEC rule or Nasdaq rule.

12.Non-Exclusivity. The Board intends that this Policy will be applied to the fullest extent of the law. The Board may require that any employment agreement, equity award agreement, or similar agreement shall, as a condition to the grant of any benefit thereunder, require a Covered Executive to agree to abide by the terms of this Policy (or any successor policy). Any right of recoupment under this Policy is in addition to, and not in lieu of, any other remedies or rights of recoupment that may be available to the Company pursuant to the terms of any similar policy in any employment agreement, equity award agreement, or similar agreement and any other legal remedies available to the Company. Nothing contained in this Policy, and no recoupment or recovery as contemplated by this Policy, shall limit any claims, damages or other legal remedies the Company or any of its affiliates may have against a Covered Executive arising out of or resulting from any actions or omissions by the Covered Executive.

13.Successors. This Policy shall be binding and enforceable against all Covered Executives and their beneficiaries, heirs, executors, administrators or other legal representatives.
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Exhibit A

ATTESTATION AND ACKNOWLEDGEMENT OF CLAWBACK POLICY

By my signature below, I acknowledge and agree that:

I have received and read the attached Clawback Policy (this “Policy”) of Arch Capital Group Ltd. (the “Company”).
I hereby agree to abide by all of the terms of this Policy both during and after my employment with the Company, including, without limitation, by promptly repaying or returning any erroneously awarded Incentive-Based Compensation to the Company as determined in accordance with this Policy.
I hereby waive any right to the indemnification, insurance or advancement of expenses by the Company with respect to any erroneously awarded Incentive-Based Compensation in accordance with Section 9 of this Policy.


Signature:
Printed Name:
Date:

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Foreign currency translation adjustments, tax Other Comprehensive Income (Loss), Foreign Currency Translation Adjustment, Tax Balance at beginning of year Balance at end of year Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value Insider Trading Policies and Procedures [Line Items] Exercisable, end of year (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Number Rule 10b5-1 Arrangement Terminated Rule 10b5-1 Arrangement Terminated [Flag] 2028 Lessee, Operating Lease, Liability, to be Paid, Year Five Restatement does not require Recovery Restatement Does Not Require Recovery [Text Block] Shareholders' Equity Equity [Text Block] Aggregate intrinsic value, outstanding, end of year Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Outstanding, Aggregate Intrinsic Value Lloyds Facility Lloyds Facility [Member] Lloyds Facility Line of Credit Facility [Line Items] Line of Credit Facility [Line Items] Travel, accident and health Travel, Accident And Health [Member] Travel, Accident And Health [Member] Variable Interest Entity [Line Items] Variable Interest Entity [Line Items] Ownership [Axis] Ownership [Axis] Dividend yield Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Dividend Rate Restricted shares issued, net of cancellations Stock Issued During Period, Shares, Restricted Stock Award, Net of Forfeitures Statutory Accounting Practices [Table] Statutory Accounting Practices [Table] Allowance for credit losses on premiums receivable Premium Receivable, Allowance for Credit Loss [Table Text Block] Income (loss) before income taxes Income Loss Before Income Taxes And Equity In Net Income Of Operating Affiliates Net income (loss) relating to the Parent Company only, prior to income taxes and equity in income of operating affiliates. Customer [Axis] Customer [Axis] Noncontrolling Interest [Table] Noncontrolling Interest [Table] Comprehensive Income Note Disclosure [Abstract] Comprehensive Income Note Disclosure [Abstract] Comprehensive Income Note Disclosure [Abstract] Non-cumulative preferred shares Preferred Stock, Value, Issued Change in tax rate Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate, Amount Large claim size threshold Short Duration Contracts, Large Claim Size Threshold Short Duration Contracts, Large Claim Size Threshold Forfeited or expired, weighted average exercise price Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Forfeitures and Expirations in Period, Weighted Average Exercise Price Debt Security Category [Axis] Debt Security Category [Axis] Deferred policy acquisition costs Deferred Tax Liabilities, Deferred Expense, Other Capitalized Costs Diluted (per share) Earnings Per Share, Diluted Common shares held in treasury, at cost (shares: 218.5 and 217.9) Common shares held in treasury, at cost Treasury Stock, Value Allowance for credit losses on reinsurance recoverable Balance at beginning of period Balance at end of period Reinsurance Recoverable, Allowance for Credit Loss Investment in operating affiliates Investment In Operating Affiliate Equity Method Investments in which the Company has significant influence over the operating and financial policies and are accounted for under the equity method. Redeemable noncontrolling interests Balance, beginning of year Balance, end of year Redeemable Noncontrolling Interest, Equity, Carrying Amount Trading Symbol Trading Symbol Letters of credit outstanding, amount Letters of Credit Outstanding, Amount Granted, weighted average exercise price Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Grants in Period, Weighted Average Exercise Price Year Eight Short-Duration Insurance Contracts, Historical Claims Duration, Year Eight Debt Securities, Available-for-sale, Allowance for Credit Loss [Line Items] Debt Securities, Available-for-Sale, Allowance for Credit Loss [Line Items] 2029 and thereafter Finite-Lived Intangible Asset, Expected Amortization, after Year Five Fair Value Disclosures [Abstract] Fair Value Disclosures [Abstract] Loss portfolio transfer Loss Portfolio Transfer [Member] Loss Portfolio Transfer Indefinite-lived Intangible Assets, Major Class Name [Domain] Indefinite-Lived Intangible Assets, Major Class Name [Domain] Addition (reduction) in income tax expense (benefit) resulting from: Effective Income Tax Rate Reconciliation, Other Reconciling Items, Amount [Abstract] Schedule of Equity Method Investments [Table] Schedule of Equity Method Investments [Table] Shareholders’ Equity Equity, Attributable to Parent [Abstract] Short-duration Insurance Contracts, Historical Claims Duration [Table] Short-Duration Insurance Contracts, Historical Claims Duration [Table] Reconciliation of the beginning and ending amount of unrecognized tax benefits Schedule of Unrecognized Tax Benefits Roll Forward [Table Text Block] Bellemeade 2021-1 Ltd Bellemeade 2021-1 Ltd [Member] Bellemeade 2021-1 Ltd Other Other Intangible Assets [Member] Reclassification out of Accumulated Other Comprehensive Income [Line Items] Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items] Schedule of computation of basic and diluted earnings per common share Schedule of Earnings Per Share, Basic and Diluted [Table Text Block] Total of IBNR liabilities plus expected development on reported claims Short-Duration Insurance Contracts, Incurred but Not Reported (IBNR) Claims Liability, Net Restricted Common Shares And Restricted Units Restricted Common Shares And Restricted Units [Member] -- None. No documentation exists for this element. -- Portion of income or loss attributable to noncontrolling interests Portion of Income Or Loss Attributable to Minority Interest [Table Text Block] Tabular disclosure of the portion of income or loss attributable to third party investors. Executive Category: Executive Category [Axis] Premiums ceded Ceded Ceded premiums written Ceded to other Companies Ceded Premiums Written Rollforward of Level 3 investments Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Table Text Block] Statutory tax rate (percentage) Statutory Tax Rate Percentage The applicable statutory tax rate for each jurisdiction in which the Company is subject to tax. Unvested Shares: Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward] Operating affiliates, deferred gain on acquisition, amortization period Operating Affiliates Equity Method Deferred Gain Amortization Period Operating Affiliates Equity Method Deferred Gain Amortization Period Exercised, weighted average exercise price Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Exercises in Period, Weighted Average Exercise Price Quoted Prices in Active Markets for Identical Assets (Level 1) Fair Value, Inputs, Level 1 [Member] Deferred income tax assets net of valuation allowance Net deferred tax assets Deferred Tax Assets, Net of Valuation Allowance Settlements Unrecognized Tax Benefits, Change Resulting From Settlements With Taxing Authorities Amount of increase (decrease) in unrecognized tax benefits resulting from settlements with taxing authorities. Unrealized Appreciation on Available-For-Sale Investments AOCI, Gain (Loss), Debt Securities, Available-for-Sale, with Allowance for Credit Loss, Parent [Member] Significant Accounting Policies [Line Items] Significant Accounting Policies [Line Items] [Line Items] for Significant Accounting Policies [Table] Equity Components [Axis] Equity Components [Axis] Financial Instruments [Domain] Financial Instruments [Domain] Additional 402(v) Disclosure Additional 402(v) Disclosure [Text Block] Condensed Balance Sheet Statements, Captions [Line Items] Condensed Balance Sheet Statements, Captions [Line Items] Shares available for issuance Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant Investment Type [Axis] Investment Type [Axis] Current year Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid, Current Year Net realized gains and losses: Gain (Loss) on Investments, Excluding Other than Temporary Impairments [Abstract] Granted (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross Entity Small Business Entity Small Business Other short duration lines not included Short-Duration Insurance, Other [Member] 2027 Finite-Lived Intangible Asset, Expected Amortization, Year Four Investment Type Categorization [Domain] Investments [Domain] Alternative Markets Alternative Markets [Member] Alternative Markets Local Phone Number Local Phone Number Recovery of Erroneously Awarded Compensation Disclosure [Line Items] Letter of Credit Letter of Credit [Member] Net derivatives - notional value Derivative, Notional Amount Measurement Frequency [Axis] Measurement Frequency [Axis] Contract binding Contract Binding Business [Member] Contract Binding Business Number of Restricted Unit Awards Restricted Stock Units (RSUs) [Member] Forgone Recovery due to Violation of Home Country Law, Amount Forgone Recovery due to Violation of Home Country Law, Amount Equity Method Investee Equity Method Investee [Member] Excess and surplus casualty Excess And Surplus Casualty [Member] Excess And Surplus Casualty [Member] Share based compensation Effective Income Tax Rate Reconciliation, Nondeductible Expense, Share-Based Payment Arrangement, Amount Retirement Benefits [Abstract] Retirement Benefits [Abstract] Unsecured revolving loan and letter of credit facility Unsecured revolving loan and letter of credit facility [Member] An unsecured revolving loan and letter of credit facility available to the Company. Portion at Fair Value Measurement [Member] Portion at Fair Value Measurement [Member] Line of Credit Facility [Table] Line of Credit Facility [Table] Schedule of senior notes Schedule of Long-Term Debt Instruments [Table Text Block] Ceded Credit Risk, Reinsurer [Axis] Reinsurer, Name [Axis] Accrued investment income Accrued Investment Income Receivable Goodwill and intangible assets Goodwill and intangible assets, beginning of year Goodwill and intangible assets, end of year Goodwill and intangible assets Intangible Assets, Net (Including Goodwill) Investments accounted for using the equity method Equity Method Investments [Table Text Block] Supplementary Information for Property and Casualty Insurance Underwriters SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Text Block] Lines other than short duration Short-Duration Insurance Contracts, Liability for Unpaid Claims and Claim Adjustment Expense, Other Reconciling Item Due after 10 years Debt Securities, Available-for-Sale, Amortized Cost, Maturity, Allocated and Single Maturity Date, after Year 10 Current income taxes payable Accrued Income Taxes, Current Total revenues Total revenues Revenues Fair Value by Liability Class [Domain] Fair Value by Liability Class [Domain] Structured securities Collateralized Securities [Member] Aggregate Available Trading Arrangement, Securities Aggregate Available Amount Other operating expenses Other Expenses Common Shares: Common Stock, Number of Shares, Par Value and Other Disclosure [Abstract] Insider Trading Policies and Procedures Not Adopted Insider Trading Policies and Procedures Not Adopted [Text Block] Arch Group Reinsurance Ltd Arch Group Reinsurance Ltd [Member] Arch Group Reinsurance Ltd SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Affiliation with Registrant [Domain] SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Affiliation with Registrant [Domain] Put Call Right To Sell Purchase Shares Put Call Right To Sell Purchase Shares The proportion of initial shares that may be bought or sold annually under the equity financing agreement. Nonvested restricted shares Incremental Common Shares Attributable to Dilutive Effect of Nonvested Shares with Forfeitable Dividends Transaction costs and other Business Combination, Acquisition Related Costs Antidilutive securities excluded from computation of earnings per common share (shares) Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount Award Type [Axis] Award Type [Axis] Number of restricted shares and restricted unit awards granted Performance shares and units granted Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period Gibraltar Commissioner Of Income Tax, Gibraltar [Member] Commissioner Of Income Tax, Gibraltar Jurisdiction [Axis] Jurisdiction [Axis] Reconciliation of beginning and ending amount of unrecognized tax benefits Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward] Deposits with non-US regulatory authorities Deposits with non-US regulatory authorities [Member] -- None. No documentation exists for this element. -- Bellemeade 2020-4 Ltd Bellemeade 2020-4 Ltd [Member] Bellemeade 2020-4 Ltd Fair Value Hierarchy and NAV [Domain] Fair Value Hierarchy and NAV [Domain] Total net paid losses and loss adjustment expenses Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid ICFR Auditor Attestation Flag ICFR Auditor Attestation Flag Hedging Designation [Axis] Hedging Designation [Axis] Right-of-use assets obtained in exchange for new lease liabilities Right-of-Use Asset Obtained in Exchange for Operating Lease Liability Premiums Earned Premiums Earned, Net [Abstract] Cumulative number of paid claims Short-duration Insurance Contracts, Number of Paid Claims Short-duration Insurance Contracts, Number of Paid Claims Transactions with Related Parties Related Party Transactions Disclosure [Text Block] Less: present value adjustment Lessee, Operating Lease, Liability, Undiscounted Excess Amount Other specialty lines Other Specialty Lines [Member] Other Specialty Lines [Member] PEO Actually Paid Compensation Amount PEO Actually Paid Compensation Amount Components of income taxes attributable to operations Schedule of Components of Income Tax Expense (Benefit) [Table Text Block] Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table] Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table] Operating Loss Carryforwards [Line Items] Operating Loss Carryforwards [Line Items] 2021 Short-Duration Insurance Contract, Accident Year 2021 [Member] Bellemeade 2020-2 Ltd Bellemeade 2020-2 Ltd [Member] Bellemeade 2020-2 Ltd 2026 Lessee, Operating Lease, Liability, to be Paid, Year Three Unearned premiums Unearned Premiums Other comprehensive income (loss) before reclassifications OCI, before Reclassifications, Net of Tax, Attributable to Parent Intangible assets with a finite life, beginning of year Intangible assets with a finite life, end of year Finite-Lived Intangible Assets, Net Finite-Lived Intangible Assets, Net Recent accounting pronouncements New Accounting Pronouncements, Policy [Policy Text Block] Australia AUSTRALIA Third party occurrence business Third Party Occurrence Business [Member] Third Party Occurrence Business [Member] Document and Entity Information [Abstract] Document and Entity Information [Abstract] Document and Entity Information [Abstract] Average price per share repurchased Shares Acquired, Average Cost Per Share Compensation liabilities Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits Intangible assets with a finite life, accumulated amortization Finite-Lived Intangible Assets, Accumulated Amortization 2025 Lessee, Operating Lease, Liability, to be Paid, Year Two Funded By VIE Funded By VIE [Member] Funded By VIE Equity Method Investment, Nonconsolidated Investee or Group of Investees [Member] Equity Method Investment, Nonconsolidated Investee or Group of Investees [Member] Schedule of income or loss before income taxes by jurisdiction Schedule of Income before Income Tax, Domestic and Foreign [Table Text Block] Intangible assets (finite life) Finite-Lived Intangible Assets [Roll Forward] Stock Price or TSR Estimation Method Stock Price or TSR Estimation Method [Text Block] Operating loss carryforward, annual utilization limit Operating Loss Carryforward Annual Utilization Limit The maximum annual utilization permitted. Third party claims-made business Third Party Claims-Made Business [Member] Third Party Claims-Made Business [Member] Single maturity date Debt Securities, Available-for-Sale, Maturity, Allocated and Single Maturity Date, Amortized Cost Bermuda BERMUDA Discount, if any, deducted in Column C SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Discount Deducted from Reserve Valuation assumptions Schedule of Share-Based Payment Award, Stock Options, Valuation Assumptions [Table Text Block] Remaining Coverage, Amount Remaining Coverage, Amount Remaining Coverage, Amount Security Exchange Name Security Exchange Name Restricted assets Restricted Assets Assets, consisting primarily of fixed maturities, that the Company is required to maintain with various regulatory authorities to support its insurance and reinsurance operations. The Company's insurance and reinsurance subsidiaries maintain assets in trust accounts as collateral for insurance and reinsurance transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. Preferred shares redeemed Stock Redeemed or Called During Period, Value Ceded Credit Risk, Reinsurer [Domain] Reinsurer, Name [Domain] Share-based payment arrangements Share-Based Payment Arrangement [Policy Text Block] Schedule of Investment Income, Reported Amounts, by Category [Table] Investment Income [Table] Accumulated other comprehensive income (loss), net of deferred income tax Beginning balance Ending balance Accumulated Other Comprehensive Income (Loss), Net of Tax US mortgage guaranty tax and loss bonds US Government Agencies Securities, at Carrying Value Stock Options Options and SARs Employee Stock Option [Member] 2019 Short-Duration Insurance Contract, Accident Year 2019 [Member] Investments Investment, Policy [Policy Text Block] Goodwill and intangible assets, foreign currency movements and other adjustments Intangible Assets Including Goodwill, Foreign Currency Translation And Other Adjustments Intangible Assets Including Goodwill, Foreign Currency Translation And Other Adjustments Operating affiliate gain on acquisition Operating Affiliate Gain On Acquisition Operating Affiliate Gain On Acquisition Maximum Maximum [Member] Unrecognized compensation cost related to unvested awards Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount Property, energy, marine and aviation Property Energy Marine And Aviation [Member] -- None. No documentation exists for this element. -- Document Type Document Type Goodwill, acquisitions Goodwill, Acquired During Period Reclassification out of Accumulated Other Comprehensive Income [Table] Reclassification out of Accumulated Other Comprehensive Income [Table] Total expenses Total expenses Benefits, Losses and Expenses Tabular List, Table Tabular List [Table Text Block] Credit Facility Credit Agreement [Member] The collective name for the unsecured revolving loan and letter of credit facility together with the secured letter of credit facility. Shares repurchased for treasury Aggregate cost of shares repurchased Treasury Stock, Value, Acquired, Cost Method Percentage of Amount Assumed to Net Premiums Written, Percentage Assumed To Net Percentage of assumed premiums written by the entity to net premiums written. Purchases, issuances, sales and settlements Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Purchases, (Sales), Issuances, (Settlements) [Abstract] Variable Interest Entity, Reporting Entity Involvement, Maximum Loss Exposure, Amount Variable Interest Entity, Reporting Entity Involvement, Maximum Loss Exposure, Amount Premium revenue recognition period Premium Revenue Recognition Period -- None. No documentation exists for this element. -- Antidilutive Securities, Name [Domain] Antidilutive Securities, Name [Domain] Summary of net realized gains (losses) Realized Gain (Loss) on Investments [Table Text Block] Share-Based Compensation Share-Based Payment Arrangement [Text Block] Number of shares authorized for incentive stock options Share Based Compensation Number of Shares Authorized for Incentive Stock Options Share Based Compensation Number of Shares Authorized for Incentive Stock Options Basis of presentation Basis of Accounting, Policy [Policy Text Block] Purchases of fixed maturity investments Payments to Acquire Debt Securities, Available-for-Sale Preferred dividends paid Payments of Ordinary Dividends, Preferred Stock and Preference Stock Business Acquisition [Axis] Business Acquisition [Axis] Other investments at net asset value Fair Value Option Net Asset Value [Member] Fair Value Option Net Asset Value [Member] Expenses Benefits, Losses and Expenses [Abstract] Transfers in and/or out of Level 3 Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Transfers, Net Customer concentration risk Customer Concentration Risk [Member] Derivative [Table] Derivative [Table] Retroactive reinsurance transaction Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims, Retroactive Reinsurance Amount of expense (reversal of expense) for claims incurred and related claims settlement costs for retroactive reinsurance and discount accretion. Other Noncontrolling Interest Period Increase Decrease Other Noncontrolling Interest Period Increase Decrease Other Short Tailed And Medium Tailed Lines Short Tailed And Medium Tailed Lines [Member] Short Tailed And Medium Tailed Lines Title of 12(b) Security Title of 12(b) Security Unallocated claims adjustment expenses Short-Duration Insurance Contracts, Liability for Unpaid Claims and Claims Adjustment Expense, Accumulated Unallocated Claim Adjustment Expense Sublease Income Sublease Income Related Party [Domain] Related Party, Type [Domain] Business Acquired Business Combination Disclosure [Text Block] Other comprehensive (income) loss attributable to noncontrolling interests Other Comprehensive Income (Loss), Net of Tax, Portion Attributable to Noncontrolling Interest Dividends paid to redeemable noncontrolling interests Payments of Ordinary Dividends, Noncontrolling Interest Intangible assets with an indefinite life, beginning of year Intangible assets with an indefinite life, end of year Indefinite-Lived Intangible Assets (Excluding Goodwill) Warburg Pincus LLC Warburg Pincus LLC [Member] Warburg Pincus LLC Aggregate Erroneous Compensation Not Yet Determined Aggregate Erroneous Compensation Not Yet Determined [Text Block] Operating segments Operating Segments [Member] Unvested balance, beginning of year, weighted average grant date fair value Unvested balance, end of year, weighted average grant date fair value Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value Net Premiums Written SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Premium Written Income Tax Disclosure [Abstract] Income Tax Disclosure [Abstract] Forgone Recovery due to Expense of Enforcement, Amount Forgone Recovery due to Expense of Enforcement, Amount Foreign exchange (gains) losses and other Liability for Unpaid Claims and Claims Adjustment Expense, Foreign Currency Translation Gain (Loss) Unrealized holding gains (losses) arising during period, tax OCI, Debt Securities, Available-for-Sale, Unrealized Holding Gain (Loss), before Adjustment, Tax Share-based Payment Arrangement [Abstract] Share-Based Payment Arrangement [Abstract] Entity Tax Identification Number Entity Tax Identification Number Net Premiums Earned SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Premium Revenue Goodwill, foreign currency translation adjustment Goodwill, Foreign Currency Translation Gain (Loss) 2022 Short-Duration Insurance Contract, Accident Year 2022 [Member] Rental expense Lease, Cost Statistical Measurement [Axis] Statistical Measurement [Axis] Arch Mortgage Guaranty Company Arch Mortgage Guaranty Company [Member] Arch Mortgage Guaranty Company Risks attaching Risks Attaching [Member] -- None. No documentation exists for this element. -- Balance Sheet Location [Domain] Balance Sheet Location [Domain] Entity Interactive Data Current Entity Interactive Data Current Foreign currency translation adjustments attributable to noncontrolling interests Other Comprehensive Income (Loss), Foreign Currency Transaction and Translation Adjustment, Net of Tax, Portion Attributable to Noncontrolling Interest Debt and Financing Arrangements Long-Term Debt [Text Block] Derivative offsetting [Abstract] Offsetting [Abstract] Schedule of Available-for-sale Securities [Table] Debt Securities, Available-for-Sale [Table] Goodwill and intangible assets Goodwill and Intangible Assets, Policy [Policy Text Block] Gain (Loss) on Securities [Line Items] Gain (Loss) on Securities [Line Items] Entity Well-known Seasoned Issuer Entity Well-known Seasoned Issuer Net settlements of derivative instruments Payments for (Proceeds from) Derivative Instrument, Investing Activities Other assets Other Assets [Member] Year Five Short-Duration Insurance Contracts, Historical Claims Duration, Year Five Share-based Compensation Arrangement by Share-based Payment Award [Line Items] Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] Measure: Measure [Axis] Commitments and Contingencies Disclosure [Abstract] Commitments and Contingencies Disclosure [Abstract] Name Outstanding Recovery, Individual Name Premiums Written Premiums Written, Net [Abstract] Maximum risk to capital ratio Maximum Risk To Capital Ratio Maximum Risk To Capital Ratio Goodwill and intangibles Deferred Tax Liabilities, Goodwill and Intangible Assets Entity Incorporation, State or Country Code Entity Incorporation, State or Country Code Marine and aviation Marine And Aviation [Member] -- None. No documentation exists for this element. -- Short-duration Insurance Contracts, Historical Claims Duration [Line Items] Short-Duration Insurance Contracts, Historical Claims Duration [Line Items] Entity Listings [Line Items] Entity Listings [Line Items] Significant components of deferred income tax assets and liabilities Schedule of Deferred Tax Assets and Liabilities [Table Text Block] Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items] Schedule of Related Party Transactions, by Related Party [Table] Schedule of Related Party Transactions, by Related Party [Table] 2024 Finite-Lived Intangible Asset, Expected Amortization, Year One Cash payments included in the measurement of lease liabilities reported in operating cash flows Operating Lease, Payments Common shares outstanding, end of year Common Stock, Shares, Outstanding Credit Rating, AM Best [Domain] Credit Rating, AM Best [Domain] Unrealized holding gains (losses) during period, net of reclassification adjustment OCI, Debt Securities, Available-for-Sale, Gain (Loss), after Adjustment and Tax Income taxes: Income Tax Expense (Benefit), Continuing Operations [Abstract] Other investments (portion measured at fair value: $2,488 and $1,644) Other investments Other Investments Allowance for Expected Credit Losses Premium Receivable, Allowance for Credit Loss [Roll Forward] PEO PEO [Member] Schedule of tax effects allocated to each component of other comprehensive income (loss) Comprehensive Income (Loss) [Table Text Block] Auditor Location Auditor Location Retirement Plans Retirement Benefits [Text Block] Other operating expenses Other Cost and Expense, Operating Cyprus Tax Department, Cyprus [Member] Tax Department, Cyprus Roll-forward of changes in issued and outstanding Common Shares Schedule of Common Stock Outstanding Roll Forward [Table Text Block] Year Two Short-Duration Insurance Contracts, Historical Claims Duration, Year Two Schedule of Variable Interest Entities [Table] Schedule of Variable Interest Entities [Table] State taxes, net of U.S. federal tax benefit Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Amount Common shares, par value per share Common Stock, Par or Stated Value Per Share Europe and other Europe And Other [Member] Europe And Other Net Premiums Earned SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Earned Premium Net cash used for investing activities Net cash used for investing activities Net Cash Provided by (Used in) Investing Activities Equity securities, at fair value Equity Securities, FV-NI, Current Other Operating Expenses SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Other Operating Expense Debt Instrument [Axis] Debt Instrument [Axis] Number of positions in an unrealized loss position (lots) Debt Securities, Available-for-Sale, Unrealized Loss Position, Number of Positions Outstanding Aggregate Erroneous Compensation Amount Outstanding Aggregate Erroneous Compensation Amount Deferred income tax liabilities: Deferred Tax Liabilities, Gross [Abstract] Aggregate intrinsic value, exercisable, end of year Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Aggregate Intrinsic Value Denmark DENMARK Credit Facility [Axis] Credit Facility [Axis] Mortgage Mortgage Segment [Member] The mortgage segment includes the Company’s U.S. primary mortgage insurance, U.S. credit-risk transferand international mortgage insurance and reinsurance operations. Total liabilities Total liabilities Liabilities Current tax expense (benefit) Current Income Tax Expense (Benefit) Current Income Tax Expense (Benefit) Expected volatility Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Volatility Rate Estimated Fair Value - Total Debt Securities, Available-for-Sale, Unrealized Loss Position Measurement Frequency [Domain] Measurement Frequency [Domain] Non-Rule 10b5-1 Arrangement Adopted Non-Rule 10b5-1 Arrangement Adopted [Flag] Assumed Assumed Premiums Earned 2014 Short-Duration Insurance Contracts, Accident Year 2014 [Member] Unearned premiums, net of ceded unearned premiums Increase Decrease In Unearned Premiums, Net Of Prepaid Reinsurance Premiums The net increase (decrease) in unearned premiums, net of prepaid reinsurance premiums. Bellemeade 2019-2 Ltd Bellemeade 2019-2 Ltd [Member] Bellemeade 2019-2 Ltd [Member] Credit Rating, AM Best [Axis] Credit Rating, AM Best [Axis] Canada CANADA Underwriting income (loss) Underwriting Income Loss Segment Net premiums earned and other underwriting income less: net losses and loss expenses, acquisition costs and general and administrative expenses directly related to underwriting activities. Short-term investments Other Investments Short Term [Member] Other Investments Short Term No AM Best rating Not Rated [Member] Not Rated [Member] Switzerland SWITZERLAND Foreign currency translation adjustments, before tax Other Comprehensive Income (Loss), Foreign Currency Transaction and Translation Adjustment, before Tax Other comprehensive income (loss), before tax Other Comprehensive Income (Loss), before Tax Estimated Fair Value - Less than 12 Months Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, Less than 12 Months Corporate expenses General and Administrative Expense Indefinite-lived intangible assets, gross balance Indefinite-lived Intangible Assets (Excluding Goodwill) Gross Amount Amount of assets, before impairment, lacking physical substance and having a projected indefinite period of benefit. Excludes financial assets and goodwill. Summary of available for sale securities in a continual unrealized loss position Schedule of Unrealized Loss on Investments [Table Text Block] Schedule of Goodwill And Intangible Assets [Table] Schedule of Goodwill And Intangible Assets [Table] Schedule of Goodwill And Intangible Assets [Table] Equity method investments Equity Method Investments [Member] Net investment income: Investment Income, Net [Abstract] Short-duration Insurance Contracts, Accident Year [Domain] Short-Duration Insurance Contracts, Accident Year [Domain] Awards Close in Time to MNPI Disclosures, Table Awards Close in Time to MNPI Disclosures [Table Text Block] Net investment income Net investment income Investment Income, Net Before tax amount: Other Comprehensive Income (Loss), before Tax [Abstract] Non-cumulative preferred shares Preferred Stock [Member] Funds held arrangements Funds Held Reinsurance Policy [Policy Text Block] Disclosure of accounting policy for funds held arrangements. Property Excluding Marine Property Excluding Marine [Member] Property Excluding Marine Equity securities Equity Securities [Member] Broker concentration risk Schedules of Concentration of Risk, by Risk Factor [Table Text Block] Supplemental cash flow information Supplemental Cash Flow Information [Abstract] Ceded Credit Risk, Collateralization [Domain] Ceded Credit Risk, Collateralization [Domain] Warranty and lenders solutions Warranty and Lenders Solutions [Member] Warranty and Lenders Solutions Other liabilities Other Liabilities Concentration Risk [Line Items] Ceded Credit Risk [Line Items] Goodwill and Intangible Assets Goodwill and Intangible Assets Disclosure [Text Block] Performance Units Performance Awards Units [Member] Performance Awards Units [Member] Schedule Of Restricted Assets [Table] Schedule Of Restricted Assets [Table] Provides details of restricted assets, by type of restriction. Concentration risk percentage Concentration Risk, Percentage Balance at beginning of year Balance at end of year Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability Value Rating Below A- AM Best Rating Below AMinus [Member] AM Best Rating Below AMinus Current expense (benefit): Current Income Tax Expense (Benefit), Continuing Operations [Abstract] Summary of tax credit carryforwards Summary of Tax Credit Carryforwards [Table Text Block] Schedule of changes in each component of AOCI Schedule of Accumulated Other Comprehensive Income (Loss) [Table Text Block] Proceeds from issuance of preferred shares, net Proceeds from Issuance of Preferred Stock and Preference Stock Total investments Total investments Investments Weighted average grant date fair value Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value 2028 Finite-Lived Intangible Asset, Expected Amortization, Year Five US government and government agencies US Treasury and Government [Member] SEC Schedule, 12-17, Insurance Companies, Reinsurance [Abstract] SEC Schedule, 12-17, Insurance Companies, Reinsurance [Abstract] Ireland IRELAND Asset backed securities Asset-Backed Securities [Member] Contractholders receivables and payables Contractholders Payable Receivable [Policy Text Block] The policy for accounting for those insurance contracts that feature large deductibles, primarily in construction and national accounts casualty lines. Net cash provided by operating activities Net Cash Provided by (Used in) Operating Activities Net Cash Provided by (Used in) Operating Activities Estimated future amortization expense Schedule of Finite-Lived Intangible Assets, Future Amortization Expense [Table Text Block] Class of Stock [Axis] Class of Stock [Axis] Erroneously Awarded Compensation Recovery Erroneously Awarded Compensation Recovery [Table] Gross balance Intangible Assets, Liabilities and Goodwill, Gross Net amount of intangible assets, intangible liabilities and goodwill. Acquired insurance contracts Insurance Contracts Acquired in Business Combination [Member] Allowance for credit losses on contractholder receivables Contract with Customer, Asset, Allowance for Credit Loss [Table Text Block] Derivative Instruments Derivatives and Fair Value [Text Block] Amortization of Deferred Acquisition Costs SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Amortization of Deferred Policy Acquisition Cost Deferred income tax assets: Deferred Tax Assets, Gross [Abstract] Series G Preferred Stock Series G Preferred Stock [Member] Other income (loss) Other Operating Income (Expense), Net 3.635% senior notes due 2050 Senior Notes Due 2050 [Member] Senior Notes Due 2050 Award Timing, How MNPI Considered Award Timing, How MNPI Considered [Text Block] Discounting of net loss reserves Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Loss Reserves Derivative assets subject to master netting agreements Derivative Asset, Subject to Master Netting Arrangement, before Offset of Collateral 2023 Short-Duration Insurance Contract, Accident Year 2023 [Member] Actual statutory capital and surplus Statutory Accounting Practices, Statutory Capital and Surplus, Balance Corporate expenses Segment Other Cost And Expense Operating Operating cost and expense items that are associated with the entity's normal revenue producing operation, for segment presentation. Intangible assets with an indefinite life Indefinite-Lived Intangible Assets [Member] Available for sale securities, gross gains on investment sales Debt Securities, Available-for-Sale, Realized Gain Consolidation Items [Axis] Consolidation Items [Axis] Marsh & McLennan Companies and its subsidiaries Marsh And McLennan Companies [Member] -- None. No documentation exists for this element. -- Goodwill, impairment Goodwill, Impairment Loss Utilization period of deferred tax assets Deferred Tax Asset, Expected Utilization Period Deferred Tax Asset, Expected Utilization Period Settlements Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Settlements Deferred Acquisition Costs SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Deferred Policy Acquisition Cost Valuation allowance Deferred Tax Assets, Valuation Allowance Schedule of Share-based Compensation Arrangements by Share-based Payment Award [Table] Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Table] Hong Kong HONG KONG Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] 2018 Short-Duration Insurance Contracts, Accident Year 2018 [Member] Restricted cash (included in ‘other assets’) Restricted Cash and Cash Equivalents Foreign currency translation adjustments, net of tax Other Comprehensive Income (Loss), Foreign Currency Transaction and Translation Adjustment, Net of Tax Treasury shares Treasury Shares Policy [Policy Text Block] Description of the policy employed by the Company in accounting for treasury share transactions. Operating affiliates , deferred gain on acquisition Operating Affiliates Equity Method Deferred Gain on Acquisition Operating Affiliates Equity Method Deferred Gain on Acquisition Preference shares, number of shares issued Preferred Stock, Shares Issued Arch Mortgage Insurance Company Arch Mortgage Insurance Company [Member] Arch Mortgage Insurance Company Income (loss) from operating affiliates Income Loss From Operating Affiliates Equity Method Income from those investments in which the Company has classified as ‘investments in operating affiliates’ on the Company’s balance sheets and accounted for using the equity method. Entity Emerging Growth Company Entity Emerging Growth Company United Kingdom UNITED KINGDOM Deposits with US regulatory authorities Deposits with US regulatory authorities [Member] -- None. No documentation exists for this element. -- Estimated Fair Value: Debt Securities, Available-for-Sale, Fair Value, Fiscal Year Maturity [Abstract] Infrastructure Other Investments Infrastructure [Member] Other Investments Infrastructure [Member] Deferred income tax assets before valuation allowance Deferred Tax Assets, Gross Gibraltar GIBRALTAR Real estate Real Estate Funds [Member] Net realized (gains) losses Net Realized Gains Losses Cash Flow Statement Adjustment to reconcile net income to cash provided by (used in) operating activities that is related to net realized (gains) and losses. ACGL Parent Company Parent Company [Member] 2024 Lessee, Operating Lease, Liability, to be Paid, Year One Bellemeade 2017-1 Ltd Bellemeade 2017-1 Ltd [Member] Bellemeade 2017-1 Ltd. Performance shares and units, valuation assumptions Schedule of Share-based Payment Award, Other Than Stock Options, Valuation Assumptions [Table Text Block] Tabular disclosure of the significant assumptions used during the year to estimate the fair value of share based awards other than stock options, including, but not limited to: (a) expected term of share options and similar instruments, (b) expected volatility of the entity's shares, (c) expected dividends, (d) risk-free rate(s), and (e) discount for post-vesting restrictions. Deferred acquisition costs Increase (Decrease) in Deferred Policy Acquisition Costs Pay vs Performance Disclosure, Table Pay vs Performance [Table Text Block] Antidilutive Securities [Axis] Antidilutive Securities [Axis] Title Trading Arrangement, Individual Title Dividends available for payment in 2022 without prior regulatory approval Statutory Accounting Practices, Statutory Amount Available for Dividend Payments without Regulatory Approval Common shares Common Stock [Member] Individual: Individual [Axis] Net Paid Losses and Loss Adjustment Expenses SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Paid Claim and Claim Adjustment Expense Dividends available for payment in 2022, total Statutory Accounting Practices, Statutory Amount Available for Dividend Payments Entity Address, Postal Zip Code Entity Address, Postal Zip Code Netherlands NETHERLANDS Reserve for losses and loss adjustment expenses Liability for Future Policy Benefits and Unpaid Claims Disclosure [Text Block] Gross written premiums Gross Written Premiums [Member] -- None. No documentation exists for this element. -- Investment income Effective Income Tax Rate Reconciliation, Tax Exempt Income, Amount Fair value adjustment to senior notes Deferred Tax Asset, Discounted Debt Deferred tax asset on the fair value of senior notes. Amounts attributable to nonredeemable noncontrolling interests Amounts attributable to non-redeemable noncontrolling interests Net Income (Loss) Attributable to Nonredeemable Noncontrolling Interest Investments: Investments [Abstract] Minimum Minimum [Member] Bad debt reserves Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Reserves Weighted average common shares and common share equivalents outstanding Weighted Average Number of Shares Outstanding, Diluted [Abstract] Condensed Balance Sheet Statement [Table] Condensed Balance Sheet Statement [Table] Amortization period Amortization Period Excess of Loss Portfolio Amortization Period Excess of Loss Portfolio Net current period other comprehensive income (loss) Other Comprehensive Income (Loss), Net of Tax Statement of Cash Flows [Abstract] Statement of Cash Flows [Abstract] Largest balance due from any one carrier Largest Balance Due From Any One Carrier [Member] Largest Balance Due From Any One Carrier Summary of reinsurance recoverables on paid and unpaid losses Ceded Credit Risk [Table Text Block] Assets Assets [Abstract] Award Timing MNPI Disclosure Award Timing MNPI Disclosure [Text Block] Total net incurred losses and loss adjustment expenses Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims Due after 10 years Debt Securities, Available-for-Sale, Fair Value, Maturity, Allocated and Single Maturity Date, after Year 10 Assumed Policyholder Benefits and Claims Incurred, Assumed Term of business exclusivity agreement Business Acquisition Exclusivity Agreement Term Business Acquisition Exclusivity Agreement Term Fair value and notional amount of derivatives Schedule of Derivative Instruments in Statement of Financial Position, Fair Value [Table Text Block] Net foreign exchange losses (gains) Net foreign exchange gains (losses) Gain (Loss), Foreign Currency Transaction, before Tax 7.350% senior notes due 2034 Senior Notes Due 2034 [Member] Senior Notes Due 2034 Professional lines Professional liability Professional Malpractice Liability Insurance [Member] Liabilities Liabilities [Abstract] Net Cash Provided by (Used in) Financing Activities Net Cash Provided by (Used in) Financing Activities Net Cash Provided by (Used in) Financing Activities Lessee, Lease, Description [Line Items] Lessee, Lease, Description [Line Items] Commitments and Contingencies Commitments and Contingencies Disclosure [Text Block] Other Payments for (Proceeds from) Other Investing Activities Purchase of operating affiliate Payments to Acquire Interest in Subsidiaries and Affiliates Retained earnings Retained Earnings [Member] Fixed income Fixed Income Investments [Member] Adjustment to Non-PEO NEO Compensation Footnote Adjustment to Non-PEO NEO Compensation Footnote [Text Block] Transfers in and/or out of Level 3 Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers, Net Basic (per share) Earnings Per Share, Basic Levels of disaggregation Short Duration Contracts Levels Of Disaggregation [Table Text Block] Short Duration Contracts Levels Of Disaggregation [Table Text Block] Accounting Policies [Abstract] Accounting Policies [Abstract] Summary of information regarding net premiums written and earned by major line of business and net premiums written by location Schedule Of Segment Reporting Information By Line Of Business And Location [Table Text Block] Tabular disclosure of premiums written and earned by major line of business, and of net premiums by both client location and underwriting location. Erroneous Compensation Analysis Erroneous Compensation Analysis [Text Block] Year Seven Short-Duration Insurance Contracts, Historical Claims Duration, Year Seven Net deferred income tax assets Deferred Tax Assets, Net Aggregate intrinsic value of options exercised Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period, Intrinsic Value Allowance for credit losses on premiums receivable Balance at beginning of period Balance at end of period Premium Receivable, Allowance for Credit Loss Private equity Private Equity Funds [Member] Losses and Loss Adjustment Expenses Policyholder Benefits and Claims Incurred, Net [Abstract] Available for sale Available-for-Sale Securities [Member] Schedule Of Other Investments [Line Items] Schedule Of Other Investments [Line Items] -- None. No documentation exists for this element. -- Amortization of Deferred Acquisition Costs SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Amortization of Deferred Policy Acquisition Cost Assumed Assumed From Other Companies Assumed Premiums Written Document Transition Report Document Transition Report Award Timing Predetermined Award Timing Predetermined [Flag] Other Other Country [Member] -- None. No documentation exists for this element. -- Unsecured debt Unsecured Debt [Member] Schedule of Business Acquisitions, by Acquisition [Table] Schedule of Business Acquisitions, by Acquisition [Table] Operating platform Technology-Based Intangible Assets [Member] Parenthetical information: Balance Sheet Additional Information [Abstract] Balance Sheet Additional Information Net paid losses and loss adjustment expenses relating to losses occurring in: Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid [Abstract] Gain (Loss) on Investments, Including Marketable Securities and Investments Held at Cost, Categories of Investments [Domain] Other than Temporary Impairment, Credit Losses Recognized in Earnings, Categories of Investments [Domain] Entity Public Float Entity Public Float Components of net investment income Investment Income [Table Text Block] Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] Residential Mortgage Residential Mortgage [Member] Net income per common share and common share equivalent Earnings per common share: Net Income Per Common Share And Common Share Equivalent [Abstract] Net Income Per Common Share And Common Share Equivalent Entity Address, Country Entity Address, Country Noncontrolling Interest [Line Items] Noncontrolling Interest [Line Items] Derivative, by Nature [Axis] Derivative Instrument [Axis] Allowance for Expected Credit Losses Reinsurance Recoverable, Allowance for Credit Loss [Roll Forward] Unpaid losses and loss adjustment expenses recoverable Unpaid losses and loss adjustment expenses recoverable Unpaid losses and loss adjustment expenses recoverable Reinsurance Recoverable for Unpaid Claims and Claims Adjustments Liability Class [Axis] Liability Class [Axis] All Trading Arrangements All Trading Arrangements [Member] Due in one year or less Debt Securities, Available-for-Sale, Amortized Cost, Maturity, Allocated and Single Maturity Date, Year One All Adjustments to Compensation All Adjustments to Compensation [Member] Investments, time lag for reporting - low end of range Equity Method Investments Time Lag For Reporting Low End of Range Equity Method Investments Time Lag For Reporting Low End of Range Restricted cash Cash and Cash Equivalents, Restricted Cash and Cash Equivalents, Policy [Policy Text Block] Liability for Future Policy Benefits and Unpaid Claims and Claims Adjustment Expense [Abstract] Liability for Future Policy Benefits and Unpaid Claims and Claims Adjustment Expense [Abstract] Allowance for credit loss on contractholder receivable Balance at beginning of period Balance at end of period Contractholder Receivables Allowance For Credit Loss Amount of allowance for credit loss on contractholder receivables. Compensation Amount Outstanding Recovery Compensation Amount Equity Method Investment, Nonconsolidated Investee [Axis] Equity Method Investment, Nonconsolidated Investee [Axis] Cumulative number of reported claims Short-Duration Insurance Contract, Cumulative Number of Reported Claims Disclosure Legal Proceedings [Abstract] Disclosure Legal Proceedings [Abstract] Disclosure Legal Proceedings [Abstract] Reinsurance recoverable Reinsurance Recoverable Including Reinsurance Premium Paid [Member] Write-offs charged against the allowance Premium Receivable, Allowance for Credit Loss, Writeoff Kelso And Company Kelso And Company [Member] Kelso And Company Forfeited, weighted average grant date fair value Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Forfeitures, Weighted Average Grant Date Fair Value Right-of-use asset Deferred Tax Liabilities, Leasing Arrangements Deferred tax expense (benefit) Deferred Income Tax Expense (Benefit) Deferred Income Tax Expense (Benefit) Proceeds from stock options exercised Proceeds from Stock Options Exercised Bellemeade 2018-3 Ltd Bellemeade 2018-3 [Member] Bellemeade 2018-3 Ltd. Consolidating adjustments and eliminations Consolidation, Eliminations [Member] Underwriting Segments Underwriting Segments [Member] The Insurance, Reinsurance, and Mortgage segments as a group. Statement of Comprehensive Income [Abstract] Statement of Comprehensive Income [Abstract] Summary of statutory capital, surplus and net income Statutory Accounting Practices Disclosure [Table Text Block] Gross premiums written Premiums Written, Gross Schedule of Goodwill And Intangible Assets [Line Items] Schedule of Goodwill And Intangible Assets [Line Items] [Line Items] for Schedule of Goodwill And Intangible Assets [Table] Net losses and loss adjustment expense reserves of acquired business Liability for Unpaid Claims and Claims Adjustment Expense, Business Acquisitions Document Financial Statement Error Correction [Flag] Document Financial Statement Error Correction [Flag] Aggregate intrinsic value of restricted units outstanding Aggregate intrinsic value of performance shares outstanding Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value, Outstanding Forfeited (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Forfeited in Period Investment in operating affiliates Equity Method Investments [Policy Text Block] Analysis of goodwill and intangible assets Schedule of Intangible Assets and Goodwill [Table Text Block] Balance sheet location of operating lease liability Operating Lease, Liability, Statement of Financial Position [Extensible Enumeration] Travel and Accident Travel and Accident [Member] Travel and Accident Schedule of Segment Reporting Information, by Segment [Table] Schedule of Segment Reporting Information, by Segment [Table] Other assets Other Assets Loss on redemption of preferred shares Loss on redemption of preferred shares Preferred Stock Redemption Premium Unearned Premiums SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Unearned Premium Equity securities at fair value, net unrealized gains (losses) on equity securities still held at reporting date Equity Securities, FV-NI, Unrealized Gain (Loss) Change for provision of expected credit losses Contractholder Receivables Credit Loss Expense Reversal Amount of expense (reversal of expense) for expected credit loss on contractholder receivables. Condensed Cash Flow Statements, Captions [Line Items] Condensed Cash Flow Statements, Captions [Line Items] Documents Incorporated by Reference Documents Incorporated by Reference [Text Block] Document Period End Date Document Period End Date Adoption Date Trading Arrangement Adoption Date Restricted Assets Restriction Type [Domain] Restricted Assets Restriction Type [Domain] The types of restrictions that are imposed on the Company. Allowance for credit losses on reinsurance recoverable Reinsurance Recoverable, Allowance for Credit Loss [Table Text Block] Credit Loss [Abstract] Total assets and liabilities measured at fair value Total Assets And Liabilities Measured At Fair Value Represents the aggregate of the assets and liabilities reported on the balance sheet at period end measured at fair value. Direct Gross Amount Direct Premiums Written Common shares held in treasury, at cost Treasury Stock, Common [Member] Reclassification out of accumulated other comprehensive income Reclassification out of Accumulated Other Comprehensive Income [Member] Segment Reporting Information [Line Items] Segment Reporting Information [Line Items] Significant accounting policies Basis of Presentation and Significant Accounting Policies [Text Block] Effect of dilutive common share equivalents: Dilutive Securities, Effect on Basic Earnings Per Share [Abstract] Income tax expense (benefit) Income tax (expense) benefit Income tax expense (benefit) Income Tax Expense (Benefit) Bellemeade 2019-1 Ltd Bellemeade 2019-1 Ltd [Member] Bellemeade 2019-1 Ltd [Member] Foreign tax credit carryforward Deferred Tax Assets, Tax Credit Carryforwards, Foreign Discounting Short-Duration Insurance Contract, Discounted Liability, Discount Number of segments Number of Operating Segments Less reclassification of net realized gains (losses) included in net income, net of tax Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax Coverage and retention Reinsurance Coverage And Retention [Table Text Block] Summary of reinsurance coverage and retention. Gross Unrealized Losses - 12 Months or More Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, 12 Months or Longer, Accumulated Loss Debt Securities, Available-for-sale [Line Items] Debt Securities, Available-for-Sale [Line Items] Reclassification of net realized (gains) losses, included in net income Other Comprehensive Income (Loss), Reclassification Adjustment from AOCI for Sale of Securities, Net of Tax Weighted average remaining lease term Operating Lease, Weighted Average Remaining Lease Term Multi-line and other specialty Multiline And Other Specialty [Member] Multiline And Other Special [Member] Compensation Actually Paid vs. Company Selected Measure Compensation Actually Paid vs. Company Selected Measure [Text Block] Preferred share dividends Preferred Stock Dividends, Income Statement Impact Preferred shares, redemption price per share Preferred Stock, Redemption Price Per Share Activity in redeemable noncontrolling interest Redeemable Noncontrolling Interest [Table Text Block] Deferred income tax assets, net Increase (Decrease) in Deferred Income Taxes Year Six Short-Duration Insurance Contracts, Historical Claims Duration, Year Six Unvested performance share and unit activity Share-Based Payment Arrangement, Performance Shares, Activity [Table Text Block] Collateral held for insured obligations Collateral Held For Insured Obligations Cash received by the Company as collateral related to contractholder payables. Gross Unrealized Losses - Less than 12 Months Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, Less than 12 Months, Accumulated Loss Cash Cash and Cash Equivalents, at Carrying Value Comprehensive income (loss) Comprehensive Income (Loss), Net of Tax, Including Portion Attributable to Noncontrolling Interest Income statement: Equity Method Investment, Financial Statement, Reported Amounts [Abstract] Equity Method Investment, Financial Statement, Reported Amounts [Abstract] Credit Facility [Domain] Credit Facility [Domain] Number of shares repurchased (shares) Treasury Stock, Shares, Acquired Fair Value Option, Disclosures [Table] Fair Value Option, Disclosures [Table] Compensation Actually Paid vs. Other Measure Compensation Actually Paid vs. Other Measure [Text Block] Payout percentage Share-Based Compensation Performance Awards Payout Percentage Share-Based Compensation Performance Awards Payout Percentage Numerator: Net Income (Loss) Available to Common Stockholders, Basic [Abstract] Third party investment in redeemable noncontrolling interests Payments for Repurchase of Redeemable Noncontrolling Interest Year Nine Short-Duration Insurance Contracts, Historical Claims Duration, Year Nine Weighted average common shares outstanding Weighted Average Number of Shares Issued, Basic International Mortgage Insurance And Reinsurance International Mortgage Insurance And Reinsurance [Member] International Mortgage Insurance And Reinsurance Additional paid-in capital Additional Paid in Capital, Common Stock Additional paid-in capital Additional Paid-in Capital [Member] Document Annual Report Document Annual Report Proceeds from sales of equity securities Proceeds from Sale of Equity Securities, FV-NI Denominator: Weighted Average Number of Shares Outstanding, Diluted, Adjustment [Abstract] Purchases, issuances, sales and settlements Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Purchases, (Sales), Issuances, (Settlements) [Abstract] Balance Sheet Location [Axis] Balance Sheet Location [Axis] Equity securities at fair value, net realized gains (losses) on sales during the period Equity Securities, FV-NI, Realized Gain (Loss) Equity in net income of investments accounted for using the equity method Equity in net income (loss) of investment funds accounted for using the equity method Income (Loss) from Equity Method Investments Other liabilities Other Liabilities [Member] Credit concentration risk Credit Concentration Risk [Member] Direct Direct Premiums Earned Premiums receivable (net of allowance for credit losses: $34 and $35) Balance at beginning of period Balance at end of period Premiums Receivable, Net Tax Period [Axis] Tax Period [Axis] United States UNITED STATES Initial investment contribution amount Payments to Acquire Businesses and Interest in Affiliates Recurring Fair Value, Recurring [Member] Investment related Deferred Tax Liabilities Investment Related Deferred Tax Liabilities Investment Related Lease liability Deferred Tax Asset Lease Liability Deferred Tax Asset Lease Liability Fair Value Fair Value Measurement and Measurement Inputs, Recurring and Nonrecurring [Text Block] Forfeited or expired (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Forfeitures and Expirations in Period Total undiscounted lease liability Lessee, Operating Lease, Liability, to be Paid Reconciliation of cash and restricted cash Schedule of Cash Flow, Supplemental Disclosures [Table Text Block] Purchases Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Purchases Investments accounted for using the fair value option Investments Accounted For Using Fair Value Option Certain fixed maturity securities, equity securities and other investments held at fair value under the fair value option afforded by accounting guidance regarding the fair value option for financial assets and liabilities. Bellemeade 2023-1 Ltd Bellemeade 2023-1 Ltd [Member] Bellemeade 2023-1 Ltd Segment Information Segment Reporting Disclosure [Text Block] Impact of deconsolidation of Somers Liability For Unpaid Claims And Claims Adjustment Expense Impact of Deconsolidation Amount of decrease in the cost of settling unpaid claims after deduction of reinsurance recoveries related to deconsolidation. Includes, but is not limited to, claims which have been incurred but not reported. Non-US government securities Debt Security, Government, Non-US [Member] Increase (decrease) in cash and restricted cash Increase (decrease) in cash and restricted cash Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Period Increase (Decrease), Including Exchange Rate Effect Total expenses Equity Method Investment, Summarized Financial Information, Total Expenses The amount of the cost of total expenses reported by an equity method investment of the entity. Equity Component [Domain] Equity Component [Domain] Allowance for Expected Credit Losses Contract with Customer, Asset, Allowance for Credit Loss [Roll Forward] Unrealized holding gains (losses) during period attributable to noncontrolling interests Other Comprehensive Income (Loss), Available-for-Sale Securities Adjustment, Net of Tax, Portion Attributable to Noncontrolling Interest Non-GAAP Measure Description Non-GAAP Measure Description [Text Block] Entity Current Reporting Status Entity Current Reporting Status Concentration Risk Type [Domain] Concentration Risk Type [Domain] Sources Of Funding [Domain] Sources Of Funding [Domain] Sources Of Funding Reinsurance Disclosures [Abstract] Reinsurance Disclosures [Abstract] Funds held liability Funds Held under Reinsurance Agreements, Liability Total Intangible Assets, Net (Including Goodwill) [Abstract] Total investable assets Investable Assets Investable Assets Series C Preferred Shares Series C Preferred Stock [Member] Tax Years 2024 To 2027 Tax Years 2024 To 2027 [Member] Tax Years 2024 To 2027 Total deferred income tax liabilities Deferred Tax Liabilities, Gross Consolidated Entities [Domain] Consolidated Entities [Domain] Short-tailed lines Short Tailed Lines [Member] Types of general reinsurance business in which claims are generally reported and settled within a short time after the occurrence. Other investments fair value option Other investments fair value option [Member] Other investments accounted for using the fair value option. Equity in net (income) or loss of investments accounted for using the equity method and other income or loss Equity In Net Income Loss Of Investment Funds Accounted For Using Equity Method And Other Income Loss This item represents the entity's proportionate share for the period of the net income (loss) of its investee (such as unconsolidated subsidiaries and joint ventures) to which the equity method of accounting is applied. It also includes other income derived by the entity which is not classified elsewhere. Segments [Axis] Segments [Axis] Estimated Fair Value Estimate of Fair Value Measurement [Member] Other comprehensive income (loss), net of deferred income tax Net of tax amount: Other Comprehensive Income (Loss), Net of Tax [Abstract] Reinsurance balances payable Increase (Decrease) in Reinsurance Payables Required statutory capital and surplus Statutory Accounting Practices, Statutory Capital and Surplus Required Scenario [Domain] Scenario [Domain] Forgone Recovery due to Disqualification of Tax Benefits, Amount Forgone Recovery due to Disqualification of Tax Benefits, Amount Awards Close in Time to MNPI Disclosures Awards Close in Time to MNPI Disclosures [Table] Distribution relationships Customer Relationships [Member] Outstanding borrowings Long-Term Line of Credit Roll forward of the allowance for expected credit losses of securities classified as available for sale Debt Securities, Available-for-Sale, Allowance for Credit Loss [Table Text Block] Income Tax Disclosure [Line Items] Income Tax Disclosure [Line Items] [Line Items] for Income Tax Disclosure [Table] Consolidated Entities [Axis] Consolidated Entities [Axis] Deposit accounting Deposit Contracts, Policy [Policy Text Block] Total gains or (losses) (realized/unrealized) - included in earnings Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Earnings Restricted Assets [Line Items] Restricted Assets [Line Items] -- None. No documentation exists for this element. -- Net (income) loss attributable to noncontrolling interests Net (income) loss attributable to noncontrolling interests Net Income (Loss) Attributable to Noncontrolling Interest Payable for securities purchased Broker-Dealer, Payable to Other Broker-Dealer and Clearing Organization Pay vs Performance Disclosure [Line Items] Entity Voluntary Filers Entity Voluntary Filers Statistical Measurement [Domain] Statistical Measurement [Domain] Contingency reserve Deferred Tax Liability Contingency Reserve Amount of deferred tax liability attributable to taxable temporary differences from contingencies. Underlying Security Market Price Change Underlying Security Market Price Change, Percent Liquidation preference per share Preferred Stock, Liquidation Preference Per Share Somerset Somerset [Member] Somerset Bridge Group Limited, Southern Rock Holdings Limited, and affiliates Executive assurance Directors and Officers Liability Insurance [Member] Unvested balance, beginning of year (in shares) Unvested balance, end of year (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number Other Other Products [Member] -- None. No documentation exists for this element. -- Number Of Subsidiaries Number Of Subsidiaries Number Of Subsidiaries Net unearned premium reserve Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Unearned Premiums Reserve Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items] Short-Duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items] Short Duration Contracts Disclosure [Abstract] Short Duration Contracts Disclosure [Abstract] Short Duration Contracts Disclosure [Abstract] Statement of Stockholders' Equity [Abstract] Statement of Stockholders' Equity [Abstract] Investments, Debt and Equity Securities [Abstract] Variable Interest Entity, Primary Beneficiary Variable Interest Entity, Primary Beneficiary [Member] Effects of exchange rate changes on foreign currency cash and restricted cash Effect of Exchange Rate on Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Continuing Operations Intangible assets with a finite life, impairment Impairment of Intangible Assets, Finite-Lived MNPI Disclosure Timed for Compensation Value MNPI Disclosure Timed for Compensation Value [Flag] Performance Common Shares and Units Performance Awards Performance Shares [Member] Disclosure Investment Information [Abstract] Disclosure Investment Information [Abstract] -- None. No documentation exists for this element. -- Segment Reporting [Abstract] Segment Reporting [Abstract] Weighted average contractual term, exercisable, end of year Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Weighted Average Remaining Contractual Term North Carolina or Wisconsin North Carolina Or Wisconsin [Member] North Carolina Or Wisconsin [Member] Securities without single maturity date Debt Securities, Available-for-Sale, Maturity, without Single Maturity Date, Fair Value Fixed maturities available for sale, at fair value (amortized cost: $24,131 and $21,282; net of allowance for credit losses: $28 and $41) Fixed maturities available for sale, at fair value Fixed maturities Fixed Maturities [Member] Restatement Determination Date: Restatement Determination Date [Axis] Reductions due to disposals Debt Securities, Available-for-Sale, Allowance for Credit Loss, Securities Sold Investment, Name [Axis] Investment, Name [Axis] Summary of net realized gains (losses) recorded in the consolidated statements of income Derivatives Not Designated as Hedging Instruments [Table Text Block] Corporate bonds Corporate Debt Securities [Member] Bellemeade 2020-3 Ltd Bellemeade 2020-3 Ltd [Member] Bellemeade 2020-3 Ltd Commitments and Contingencies Commitments and Contingencies Impairment of Intangible Assets, Indefinite-Lived (Excluding Goodwill) Impairment of Intangible Assets, Indefinite-Lived (Excluding Goodwill) Contractual maturities of operating lease liabilities Lessee, Operating Lease, Liability, to be Paid, Fiscal Year Maturity [Abstract] Series E preferred shares Series E Preferred Stock [Member] Total reconciling items Short-Duration Insurance Contracts, Liability for Unpaid Claims and Claim Adjustment Expense, Aggregate Reconciling Items Geographical [Axis] Geographical [Axis] Requisite service period, share-based awards Share-Based Compensation Arrangement by Share-Based Payment Award, Award Requisite Service Period Reinsurance Reinsurance Segment [Member] The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Income Taxes Income Tax Disclosure [Text Block] Reserve for losses and loss adjustment expenses Reserve for losses and loss adjustment expenses at beginning of year Reserve for losses and loss adjustment expenses at end of year Liability for Claims and Claims Adjustment Expense SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Affiliation with Registrant [Axis] SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Affiliation with Registrant [Axis] 2016 Short-Duration Insurance Contracts, Accident Year 2016 [Member] SEC Schedule, 12-17, Insurance Companies, Reinsurance [Table] SEC Schedule, 12-17, Insurance Companies, Reinsurance [Table] Losses occurring Losses Occurring [Member] -- None. No documentation exists for this element. -- Futures contracts Future [Member] Concentration Risk [Line Items] Concentration Risk [Line Items] Noncontrolling Interest [Abstract] Total gains or (losses) (realized/unrealized) - included in other comprehensive income Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Other Comprehensive Income (Loss) Redemption of preferred shares Payments for Repurchase of Preferred Stock and Preference Stock Short-duration Insurance Contracts, Accident Year [Axis] Short-Duration Insurance Contracts, Accident Year [Axis] Preferred shares, par value per share Preferred Stock, Par or Stated Value Per Share Change in valuation allowance Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount Business Acquisition [Line Items] Business Acquisition [Line Items] Series G depositary share equivalent Series G Depositary Share Equivalent [Member] Series G Depositary Share Equivalent Weighted Average Grant Date Fair Value: Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract] Fair Value, Recurring and Nonrecurring [Table] Fair Value, Recurring and Nonrecurring [Table] Net realized gains (losses) Net Realized Gains Losses Includes realized gains and losses on debt securities accounted for as available for sale, realized and unrealized changes in the fair value of equity securities and assets and liabilities accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments and changes in the allowance for credit losses on financial assets, and all other. Liability derivatives - fair value Derivative Liability, Subject to Master Netting Arrangement, before Offset PEO Total Compensation Amount PEO Total Compensation Amount Programs Programs [Member] -- None. No documentation exists for this element. -- Goodwill Goodwill [Roll Forward] Reinsurance balances payable Reinsurance Payable Fair value option Investments fair value option [Member] Investments accounted for using the fair value option. Investment in subsidiaries Investment In Subsidiaries Investment in subsidiaries which is eliminated upon consolidation. Trading Arrangements, by Individual Trading Arrangements, by Individual [Table] Significant Unobservable Inputs (Level 3) Fair Value, Inputs, Level 3 [Member] Common shares held in treasury (shares) Common shares held in treasury, end of year Treasury Stock, Common, Shares Condensed Cash Flow Statement [Table] Condensed Cash Flow Statement [Table] Schedule of Gain (Loss) on Securities [Table] Schedule of Gain (Loss) on Securities [Table] Claims Development [Line Items] Claims Development [Line Items] Outstanding, beginning of year (in shares) Outstanding, end of year (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Number SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Abstract] SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Abstract] Income (loss) before equity in net income of subsidiaries Income Loss Net Of Income Taxes And Before Equity In Net Income Of Subsidiaries Net income (loss) relating to the Parent Company only, prior to equity in income of subsidiaries but net of income taxes. Due after five years through 10 years Debt Securities, Available-for-Sale, Amortized Cost, Maturity, Allocated and Single Maturity Date, after Year 5 Through 10 Non-PEO NEO Average Compensation Actually Paid Amount Non-PEO NEO Average Compensation Actually Paid Amount Gross investment income Investment Income, Interest and Dividend Unearned Premiums SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Unearned Premium Estimated fair value of senior notes Long-Term Debt, Fair Value Other comprehensive income (loss), tax Other Comprehensive Income (Loss), Tax Net income available to Arch Net of tax Net income available to Arch Net Income (Loss) Income before income taxes and income (loss) from operating affiliates Income (Loss) from Continuing Operations Before Earnings From Affiliates, Income Taxes, Noncontrolling Interest Amount of income (loss) from continuing operations before deduction of income tax expense (benefit) and income (loss) attributable to noncontrolling interest, and addition of income (loss) from affiliates. Derivative, Name [Domain] Derivative Contract [Domain] Foreign exchange Foreign Currency Transactions and Translations Policy [Policy Text Block] Changed Peer Group, Footnote Changed Peer Group, Footnote [Text Block] Company Selected Measure Name Company Selected Measure Name Due after one year through five years Debt Securities, Available-for-Sale, Amortized Cost, Maturity, Allocated and Single Maturity Date, after Year One Through Five Leases Lessee, Operating Leases [Text Block] Corporate bonds Corporate Bond Securities [Member] Deferred acquisition costs Deferred Policy Acquisition Cost Intangible liability - unfavorable service contract Intangible Liability [Member] Intangible Liability [Member] Year Three Short-Duration Insurance Contracts, Historical Claims Duration, Year Three Dividend withholding taxes Income Tax Reconciliation Dividend Withholding Taxes The portion of the difference, between total income tax expense or benefit as reported in the Income Statement for the year/accounting period and the expected income tax expense or benefit computed by applying the domestic federal statutory income tax rates to pretax income from continuing operations, that is attributable to withholding taxes on dividends. Finite-Lived Intangible Assets [Line Items] Finite-Lived Intangible Assets [Line Items] Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance Short-Duration Insurance Contracts, Cumulative Paid Claims and Allocated Claim Adjustment Expense, Net Condensed Financial Information of Registrant Condensed Financial Information of Parent Company Only Disclosure [Text Block] Amounts reclassified from accumulated other comprehensive income Reclassification from AOCI, Current Period, Net of Tax, Attributable to Parent Gross Unrealized Losses Debt Securities, Available-for-Sale, Accumulated Gross Unrealized Loss, before Tax Concentration Risk Benchmark [Domain] Concentration Risk Benchmark [Domain] Exercised (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period Income Tax Contingency [Table] Income Tax Contingency [Table] Marine Marine Product Line [Member] Marine Product Line Audit Information [Abstract] Audit Information Vesting period, share-based awards Vesting period Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period Guaranty fund and other related assessments Guaranty Fund And Other Assessments Policy [Policy Text Block] Description of the Company's accounting policy for guaranty fund liabilities and other related assessments. Name Measure Name Name Forgone Recovery, Individual Name Goodwill, beginning of year Goodwill, end of year Goodwill 2007 Employee Share Purchase Plan Employee Share Purchase Plan Employee Share Purchase Plan [Member] -- None. No documentation exists for this element. -- Additions for tax positions of prior years Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions Aggregate commitments Investment commitments Investment Commitments Investment commitments primarily related to agreements entered into by the Company to invest in funds and separately managed accounts when called upon. Lessee, Lease, Description [Table] Lessee, Lease, Description [Table] Measurement Basis [Axis] Measurement Basis [Axis] Underlying Securities Award Underlying Securities Amount Premiums Insurance Premiums Revenue Recognition, Policy [Policy Text Block] Prior years Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid, Prior Years Other Comprehensive Income (Loss) Comprehensive Income (Loss) Note [Text Block] Fair Value Measurement [Domain] Fair Value Measurement [Domain] Forecast Forecast [Member] Other Arch Capital Subsidiaries Subsidiaries [Member] 5.144% senior notes due 2043 Senior Notes Due 2043 [Member] Senior Notes Due 2043 [Member] Collateral [Axis] Collateral Held [Axis] Earliest Tax Year Earliest Tax Year [Member] Unrealized holding gains (losses) arising during year Unrealized holding gains (losses) arising during period, net of tax OCI, Debt Securities, Available-for-Sale, Unrealized Holding Gain (Loss), before Adjustment, after Tax Settlements Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Settlements Dividend required notice period Statutory Capital And Surplus Notice Period Required For Dividends Statutory Capital And Surplus Notice Period Required For Dividends Coface Coface [Member] Coface [Member] Schedule of Investment Income, Reported Amounts, by Category [Line Items] Net Investment Income [Line Items] Net incurred losses and loss adjustment expenses relating to losses occurring in: Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims [Abstract] Contractual maturities of the Company's fixed maturities and fixed maturities pledged under securities lending arrangements Investments Classified by Contractual Maturity Date [Table Text Block] Debt Instrument, Name [Domain] Debt Instrument, Name [Domain] Less reclassification of net realized gains (losses) included in net income, before tax Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax Level 3 liabilities rollforward Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward] Reclassification out of Accumulated Other Comprehensive Income [Axis] Reclassification out of Accumulated Other Comprehensive Income [Axis] Series F depositary share equivalent Series F Depositary Share Equivalent [Member] Depositary Share Equivalent [Member] Share based compensation expense, net of tax Share-Based Payment Arrangement, Expense, after Tax Asset Pledged as Collateral Asset Pledged as Collateral [Member] Contractual maturities of operating lease liabilities Lessee, Operating Lease, Liability, to be Paid, Maturity [Table Text Block] SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Abstract] SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Abstract] Dividends, percentage permitted Statutory Accounting Practices Dividends Permitted Percentage Of Statutory Capital And Surplus The percentage of total statutory capital and surplus (as shown on its previous financial year's statutory balance sheet) which may be paid out as dividends without the requirement to file an affadavit with the regulatory body stating that the Company will continue to meet required margins. Foreign currency forward contracts Foreign Exchange Forward [Member] Europe Europe [Member] All Other Carriers All Other Carriers [Member] All Other Carriers Cash Cash and Cash Equivalents, Policy [Policy Text Block] Issue costs on preferred shares issued Adjustments to Additional Paid in Capital, Stock Issued, Issuance Costs Pledged Status [Axis] Pledged Status [Axis] Weighted average grant date fair value of restricted stock Share-based Compensation Arrangement by Share-based Payment Award, Other Than Options, Grants in Period, Weighted Average Grant Date Fair Value [Table Text Block] Tabular disclosure of the weighted-average grant-date fair value of other than option equity instruments granted during the year. Commercial mortgage backed securities Commercial Mortgage-Backed Securities [Member] Product and Service [Domain] Product and Service [Domain] Other Performance Measure, Amount Other Performance Measure, Amount Net reserve for losses and loss adjustment expenses at beginning of year Net reserve for losses and loss adjustment expenses at end of year Net reserves Liability for Unpaid Claims and Claims Adjustment Expense, Net Additional information regarding operating leases Lease, Cost [Table Text Block] Change in fair value of assets and liabilities accounted for using the fair value option Fair Value, Option, Changes in Fair Value, Gain (Loss) Investing Activities: Net Cash Provided by (Used in) Investing Activities [Abstract] Other, net Deferred Tax Assets, Tax Deferred Expense, Other Derivative Instruments and Hedging Activities Disclosure [Abstract] Derivative Instruments and Hedging Activities Disclosure [Abstract] Plan Name [Domain] Plan Name [Domain] Bellemeade 2022-1 Ltd Bellemeade 2022-01 Ltd [Member] Bellemeade 2022-01 Ltd Interest expense Interest expense Interest Expense Number of shares reserved for issuance Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Authorized Fixed maturities Fixed Income Securities [Member] Intangible assets with a finite life, acquisitions Finite-Lived Intangible Assets Acquired Weighted average contractual term, outstanding, end of year Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term Other changes Adjustments to Additional Paid in Capital, Other Other specialty Other Specialty [Member] -- None. No documentation exists for this element. -- Stockholders' Equity Note [Abstract] Stockholders' Equity Note [Abstract] Trading Arrangement: Trading Arrangement [Axis] Operating Loss Carryforwards [Table] Operating Loss Carryforwards [Table] Use of estimates Use of Estimates, Policy [Policy Text Block] Long-term Debt, Type [Domain] Long-Term Debt, Type [Domain] Available for sale securities: Debt Securities, Available-for-Sale [Abstract] Greysbridge Holdings Ltd Greysbridge Holdings Ltd [Member] Greysbridge Holdings Ltd Entity File Number Entity File Number Weighted average grant date fair value Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value [Table Text Block] 2029 and thereafter Lessee, Operating Lease, Liability, to be Paid, after Year Five Latest Tax Year Latest Tax Year [Member] Allowance for credit losses on investments Allowance for Expected Credit Losses Balance at beginning of period Balance at end of period Debt Securities, Available-for-Sale, Allowance for Credit Loss Reductions for tax positions of prior years Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions Auditor Firm ID Auditor Firm ID Amortization of intangible assets Amortization of intangible assets Intangible assets with a finite life, amortization Amortization of Intangible Assets Entity Shell Company Entity Shell Company Business Acquisition, Acquiree [Domain] Business Acquisition, Acquiree [Domain] Reinsurance trusts or letters of credit Ceded Credit Risk, Secured [Member] Restatement Determination Date Restatement Determination Date Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items] Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items] Statutory Information Statutory Accounting Practices [Text Block] The entire disclosure related to the insurance and/or reinsurance laws and regulations that the Company's subsidiaries are subject to. Authorized and Issued: Class of Stock Disclosures [Abstract] Reconciliation of claims development to liability Short-Duration Insurance Contracts, Reconciliation of Claims Development to Liability [Table Text Block] Additions based on tax positions related to the current year Unrecognized Tax Benefits, Increase Resulting from Current Period Tax Positions Rule 10b5-1 Arrangement Adopted Rule 10b5-1 Arrangement Adopted [Flag] Cash and restricted cash, beginning of year Cash and restricted cash, end of year Cash and restricted cash Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents Asset Class [Axis] Asset Class [Axis] Tax Years 2028 To 2038 Tax Years 2028 To 2038 [Member] Tax Years 2028 To 2038 Operating lease costs Operating Lease, Cost Other investments Other investments fair value [Member] Line item in the statement of financial position in which the fair value amounts of the other investments are included. This category includes derivative instruments, hedge funds and other types of investments not classified elsewhere. Premiums receivable Increase (Decrease) in Premiums Receivable Estimated Fair Value - 12 Months or More Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, 12 Months or Longer Common shares issued (shares) Shares issued, beginning of year Shares issued, end of year Common Stock, Shares, Issued SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Table] SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Table] Unvested restricted share and unit activity Schedule of Nonvested Restricted Stock Units Activity [Table Text Block] Vested (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period Reserves for Losses and Loss Adjustment Expenses SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Liability for Future Policy Benefit, Loss, Claim and Loss Expense Assets measured at fair value Assets, Fair Value Disclosure Gross Unrealized Losses - Total Debt Securities, Available-for-Sale, Unrealized Loss Position, Accumulated Loss Foreign currency translation adjustments, net of deferred income tax Foreign Currency Translation Adjustments Accumulated Foreign Currency Adjustment Attributable to Parent [Member] Weighted average recognition period (years) Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition Loss ratio Loss Ratio Reinsurer concentration risk Reinsurer Concentration Risk [Member] Other Proceeds from (Payments for) Other Financing Activities Comprehensive income available to Arch (loss) Comprehensive Income (Loss), Net of Tax, Attributable to Parent Total number of positions (lots) Available For Sale Securities Qualitative Disclosure Number Of Positions Disclosure regarding factors used to determine that the impairment of securities categorized as available for sale securitie.This item contains disclosure of the number of investment positions held before consideration of those determined to be temporarily impaired. Series F Preferred Shares Series F Preferred Stock [Member] Change for provision of expected credit losses Reinsurance Recoverable, Credit Loss Expense (Reversal) Withdrawal restriction period Withdrawal Restriction Period Withdrawal Restriction Period AON Corporation and its subsidiaries AON Corporation and Subsidiaries [Member] AON Corporation and Subsidiaries Base eroding tax Effective Income Tax Rate Reconciliation, BEAT, Amount Aggregate intrinsic value of restricted units vested Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value, Vested Bermuda Domestic Tax Authority [Member] Entity Address, Address Line One Entity Address, Address Line One Entity Address, Address Line Two Entity Address, Address Line Two Intangible assets with an indefinite life, foreign currency translation adjustment Indefinite-Lived Intangible Assets, Foreign Currency Translation Gain (Loss) Remaining Retention, Net Remaining Retention, Net Remaining Retention, Net Summary of VIE cash flows Variable Interest Entity Cash Flow [Table Text Block] Variable Interest Entity Cash Flow [Table Text Block] Estimated purchase commitments, primarily related to software and computerized systems Purchase Commitment, Remaining Minimum Amount Committed Bellemeade 2022-2 Ltd Bellemeade 2022-2 Ltd [Member] Bellemeade 2022-2 Ltd 2018 Long Term Incentive and Share Award Plan Two Thousand Eighteen Long Term Incentive and Share Award Plan [Member] Two Thousand Eighteen Long Term Incentive and Share Award Plan [Member] Weighted Average Exercise Price Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract] Fair Value, Option, Quantitative Disclosures [Line Items] Fair Value, Option, Quantitative Disclosures [Line Items] Statutory Accounting Practices [Line Items] Statutory Accounting Practices [Line Items] Funds Held under Reinsurance Agreements, Asset Funds Held under Reinsurance Agreements, Asset Deferred tax asset, economic transition adjustment Income Tax Expense (Benefit), Continuing Operations, Adjustment of Deferred Tax (Asset) Liability Proceeds from common shares issued, net Proceeds From (Payments For) Issuance Of Shares Under Share Based Compensation Plans Amount of cash inflow (outflow) from issuance of shares under share-based payment arrangement. Includes, but is not limited to, options exercised. Operating loss carryforwards Operating Loss Carryforwards Amounts attributable to redeemable noncontrolling interests Net Income (Loss) Attributable to Redeemable Noncontrolling Interest Short-term investments Short Term Investments Fair Value Option [Member] Short-term investments accounted for using the fair value option Number of shares acquired Investment Owned, Balance, Shares Combined ratio Combined Ratio Percentage The combined ratio is defined as the sum of the loss ratio, acquisition expense ratio and the other operating expense ratio. Income Statement [Abstract] Income Statement [Abstract] Shares issued Stock Issued During Period, Shares, New Issues Performance Shares Performance Awards Shares [Member] Performance Awards Shares [Member] Goodwill, gross balance Goodwill, Gross Insider Trading Policies and Procedures Adopted Insider Trading Policies and Procedures Adopted [Flag] Allowance for credit losses - investment related Provision for credit losses Debt Securities, Available-for-Sale, Allowance for Credit Loss, Period Increase (Decrease) Lloyds year of account deferral Deferred Tax Liability Lloyds Year Of Account Deferral Deferred Tax Liability Lloyds Year Of Account Deferral Other Other Realized And Unrealized Gains And Losses All other realized and unrealized gains and losses. Receivable for securities sold Receivable from Broker-Dealer and Clearing Organization Performance shares, performance adjustment Share Based Compensation, Performance Adjustment Share Based Compensation, Performance Adjustment Impact of deconsolidation of Somers Redeemable Noncontrolling Interest Decrease From Deconsolidation The amount of the reduction or elimination during the period of a redeemable noncontrolling interest resulting from the parent's loss of control and deconsolidation of the entity in which one or more outside parties had a redeemable noncontrolling interest. Class of Stock [Line Items] Class of Stock [Line Items] Expected income tax expense (benefit) computed on pre-tax income at weighted average income tax rate Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount Analysis of losses and loss adjustment expenses and reconciliation of beginning and ending reserve balances Schedule of Liability for Unpaid Claims and Claims Adjustment Expense [Table Text Block] Reinsurance Reinsurance [Text Block] Tax expense (benefit): Other Comprehensive Income (Loss), Tax [Abstract] Investments accounted for using the equity method Equity Method Investments Tax Years After 2038 Tax Years After 2038 [Member] Tax Years After 2038 Derivative instruments Derivatives, Methods of Accounting, Derivatives Not Designated or Qualifying as Hedges [Policy Text Block] Other investments Other Investments [Member] Third party investment in non-redeemable noncontrolling interests Proceeds from (Payments to) Noncontrolling Interests Financial Instrument [Axis] Financial Instrument [Axis] Investments securing LOCs Financial Instruments, Owned, at Fair Value Concentration risk, threshold Concentration Risk Threshold Percentage Concentration Risk Threshold Percentage Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Table] Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Table] Total Shareholder Return Amount Total Shareholder Return Amount Invested assets Equity Method Investment Summarized Financial Information, Invested Assets The amount of invested assets reported by an equity method investment of the entity. Purchases of common shares under share repurchase program Payments for Repurchase of Common Stock Entity Common Stock, Shares Outstanding Entity Common Stock, Shares Outstanding Liabilities for losses and loss adjustment expenses, net of reinsurance Liabilities for losses and loss adjustment expenses, net of reinsurance Short-Duration Insurance Contracts, Liability for Unpaid Claims and Allocated Claim Adjustment Expense, Net Adjustment To PEO Compensation, Footnote Adjustment To PEO Compensation, Footnote [Text Block] Non-U.S. Deferred Foreign Income Tax Expense (Benefit) Parent Parent [Member] Ceded Credit Risk, Collateralization [Axis] Ceded Credit Risk, Collateralization [Axis] Segments [Domain] Segments [Domain] Variable Interest Entity, Not Primary Beneficiary Variable Interest Entity, Not Primary Beneficiary [Member] Fair Value Hierarchy and NAV [Axis] Fair Value Hierarchy and NAV [Axis] Gain (loss) on deconsolidation Deconsolidation, Gain (Loss), Amount Consolidation Items [Domain] Consolidation Items [Domain] Retained earnings Retained Earnings (Accumulated Deficit) Collateral [Domain] Collateral Held [Domain] Goodwill Goodwill [Member] Principal amount Debt Instrument, Face Amount Change in unearned premiums (Increase) Decrease in Unearned Premiums, Net Short-duration Insurance Contracts, Claims Development [Table] Short-Duration Insurance Contracts, Claims Development [Table] Variable Interest Entity and Noncontrolling Interest Disclosure [Abstract] Variable Interest Entity and Noncontrolling Interest Disclosure [Abstract] Variable Interest Entity and Noncontrolling Interest Disclosure [Abstract] Leases [Abstract] Leases [Abstract] Prior years Prior year development favorable (unfavorable) Net Losses and Loss Adjustment Expenses Incurred Related to Prior Years Prior Year Claims and Claims Adjustment Expense Acquisition costs Deferred Policy Acquisition Costs, Policy [Policy Text Block] Equity Method Investment, Nonconsolidated Investee [Domain] Equity Method Investment, Nonconsolidated Investee [Domain] 2020 Short-Duration Insurance Contract, Accident Year 2020 [Member] Compensation Actually Paid vs. Total Shareholder Return Compensation Actually Paid vs. Total Shareholder Return [Text Block] Direct Policyholder Benefits and Claims Incurred, Direct Operating Activities Net Cash Provided by (Used in) Operating Activities [Abstract] SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Line Items] SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Line Items] Mortgage backed securities Residential Mortgage-Backed Securities [Member] Medium-tailed lines Medium Tailed Lines [Member] Medium Tailed Lines [Member] 4.011% senior notes due 2026 Senior Notes Due 2026 [Member] Senior Notes Due 2026 [Member] Contractholder payables Contract Holder Payables Certain insurance policies written by the Company’s insurance operations feature large deductibles, primarily in its construction and national accounts lines of business. Under such contracts, the Company is obligated to pay the claimant for the full amount of the claim. The Company is subsequently reimbursed by the policyholder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet in contractholder payables and contractholder receivables, respectively. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the policyholder to mitigate the Company’s credit risk. In the instances where the Company receives collateral in the form of cash, the Company reflects it in “Collateral held for insured obligations.” Syndicate capacity Syndicate Capacity [Member] Syndicate Capacity [Member] Proceeds from redemptions and maturities of fixed maturity investments Proceeds from Maturities, Prepayments and Calls of Debt Securities, Available-for-Sale Net Premiums Written SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Premium Written Continuous unrealized loss, qualitative disclosures: Available-for-Sale Securities, Continuous Unrealized Loss Position, Qualitative Disclosure [Abstract] Intangible assets with a finite life Finite-Lived Intangible Assets [Member] Balance sheet: Equity Method Investment, Summarized Financial Information [Abstract] Accumulated Other Comprehensive Income (Loss) [Line Items] Accumulated Other Comprehensive Income (Loss) [Line Items] Asset Class [Domain] Asset Class [Domain] Asset derivatives - fair value Derivative Asset, Subject to Master Netting Arrangement, before Offset Less reclassification of net realized gains (losses) included in net income, tax Other Comprehensive Income (Loss), Reclassification Adjustment from AOCI for Sale of Securities, Tax Contractholder receivables (net of allowance for credit losses: $3 and $3) Balance at beginning of period Balance at end of period Contractholder Deductibles Receivable Certain insurance policies written by the Company’s insurance operations feature large deductibles, primarily in its construction and national accounts lines of business. Under such contracts, the Company is obligated to pay the claimant for the full amount of the claim. The Company is subsequently reimbursed by the policyholder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet in contractholder payables and contractholder receivables, respectively. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the policyholder to mitigate the Company’s credit risk. In the instances where the Company receives collateral in the form of cash, the Company reflects it in “Collateral held for insured obligations.” SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Line Items] SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Line Items] Class of Stock [Domain] Class of Stock [Domain] T&L Bonds U.S. Mortgage Guaranty Tax and Loss Bonds [Member] U.S. Mortgage Guaranty Tax and Loss Bonds [Member] Customer [Domain] Customer [Domain] Details about amounts reclassified from AOCI Reclassification out of Accumulated Other Comprehensive Income [Table Text Block] Net income available to Arch common shareholders Net income (loss) available to Arch common shareholders Net income available to Arch common shareholders Net Income (Loss) Available to Common Stockholders, Basic Number of Options / SARs Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding [Roll Forward] Property excluding property catastrophe Property Excluding Property Catastrophe [Member] -- None. No documentation exists for this element. -- Underwriting Ratios Insurance Ratios [Abstract] Premia Holdings Ltd Premia Holdings Ltd [Member] Premia Holdings Ltd 2015 Short-Duration Insurance Contracts, Accident Year 2015 [Member] Summary of open tax years potentially subject to examination, by jurisdiction Summary Of Open Tax Years Potentially Subject To Examination By Jurisdiction [Table Text Block] Tabular disclosure of open tax years that are potentially subject to examination by local tax authorities, by major jurisdiction. Operating lease liability Operating Lease, Liability Unrealized holding gains (losses) arising during period, before tax OCI, Debt Securities, Available-for-Sale, Unrealized Holding Gain (Loss), before Adjustment and Tax General Organization, Consolidation and Presentation of Financial Statements Disclosure [Text Block] Total Shareholder Return Vs Peer Group Total Shareholder Return Vs Peer Group [Text Block] Other Other Contract [Member] Accumulated other comprehensive income (loss) AOCI Attributable to Parent [Member] Aggregate Erroneous Compensation Amount Aggregate Erroneous Compensation Amount Bellemeade 2021-2 Ltd Bellemeade 2021-2 Ltd [Member] Bellemeade 2021-2 Ltd Defined contribution plan, expense Defined Contribution Plan, Cost All Executive Categories All Executive Categories [Member] Due from Affiliates Advances to Affiliate Other Effective Income Tax Rate Reconciliation, Other Adjustments, Amount Accumulated Other Comprehensive Income (Loss) [Table] Accumulated Other Comprehensive Income (Loss) [Table] Plan Name [Axis] Plan Name [Axis] Schedule Of Other Investments [Table] Schedule Of Other Investments [Table] -- None. No documentation exists for this element. -- Debt Disclosure [Abstract] Debt Disclosure [Abstract] Change for provision of expected credit losses Premium Receivable, Credit Loss Expense (Reversal) Earnings Per Share [Abstract] Earnings Per Share [Abstract] Summary of investments in limited partnership interests where the Company has a variable interest Schedule of Variable Interest Entities [Table Text Block] Year One Short-Duration Insurance Contracts, Historical Claims Duration, Year One Common shares ($0.0011 par, shares issued: 591.9 and 588.3) Common Stock, Value, Issued Due after one year through five years Debt Securities, Available-for-Sale, Fair Value, Maturity, Allocated and Single Maturity Date, after Year One Through Five Organization, Consolidation and Presentation of Financial Statements [Abstract] Organization, Consolidation and Presentation of Financial Statements [Abstract] Issued Shares Excluding Treasury Stock Issued Shares Excluding Treasury Stock [Member] Issued Shares Excluding Treasury Stock Legal Proceedings Legal Matters and Contingencies [Text Block] Lloyds year of account deferral Lloyds Syndicate Uncrystallized Losses Deferred Tax Asset Amount before valuation allowance allocated to deferred tax assets that relate to losses from open Lloyds year(s) of account. Aggregate purchase price of shares acquired since inception of share repurchase program Treasury Stock Value Acquired Cumulative Since Inception Aggregate cumulative purchase price of common and preferred stock that have been repurchased since the inception of the share repurchase program. Senior Notes Senior Notes [Member] Equity securities Equity Securities Fair Value Option [Member] Equity securities accounted for using the fair value option Deferred expense (benefit): Deferred Income Tax Expense (Benefit), Continuing Operations [Abstract] Collateral or guarantees - third party agreements Collateral or guarantees - third party agreements [Member] -- None. No documentation exists for this element. -- All Individuals All Individuals [Member] Pledging Purpose [Axis] Pledging Purpose [Axis] Single maturity date Debt Securities, Available-for-Sale, Maturity, Allocated and Single Maturity Date, Fair Value Other operating expense ratio Other Operating Expense Ratio Percentage Other operating expense ratio is obtained by dividing other operating expenses by net premiums earned. Claims development tables Short-Duration Insurance Contracts, Claims Development [Table Text Block] Equity Funds Equity Funds [Member] Entity Filer Category Entity Filer Category Schedule of Equity Method Investments [Line Items] Schedule of Equity Method Investments [Line Items] US Primary Mortgage Insurance US Primary Mortgage Insurance [Member] US Primary Mortgage Insurance Schedule of share repurchases Class of Treasury Stock [Table Text Block] Non-PEO NEO Average Total Compensation Amount Non-PEO NEO Average Total Compensation Amount All outstanding liabilities before 2014, net of reinsurance All outstanding liabilities before 2012, net of reinsurance Short-Duration Insurance Contracts, Liability for Unpaid Claims and Allocated Claim Adjustment Expense, Net, Not Separately Presented Statement [Table] Statement [Table] Current Fiscal Year End Date Current Fiscal Year End Date Withdrawal restriction period, with prior approval Statutory Accounting Contingency Loss Reserve Percentage Of Net Earned Premiums With Prior Approval Statutory Accounting Contingency Loss Reserve Percentage Of Net Earned Premiums With Prior Approval Reconciliation of the differences between the provision for income taxes and the expected tax provision at the weighted average tax rate Schedule of Effective Income Tax Rate Reconciliation [Table Text Block] Balance at beginning of year Balance at end of year Unrecognized Tax Benefits Income Tax Authority [Axis] Income Tax Authority [Axis] PEO Name PEO Name AM Best "A-" Or Better Rating AM Best Aminus Or Better Rating [Member] A- or better rating, as rated by A.M.Best. Condensed Financial Information Disclosure [Abstract] Condensed Financial Information Disclosure [Abstract] Preferred shares authorized Preferred Stock, Shares Authorized 2022 Long Term Incentive and Share Award Plan 2022 Long Term Incentive and Share Award Plan [Member] 2022 Long Term Incentive and Share Award Plan Reinsurance Business By Type [Axis] Reinsurance Business By Type [Axis] The broad types of reinsurance business: short, medium or long-tailed business Entity Listings [Table] Entity Listings [Table] Other investments Investment [Table Text Block] Equity in net income of subsidiaries Income (Loss) from Subsidiaries, Net of Tax Ceded unearned premiums Prepaid Reinsurance Premiums Cumulative number of shares acquired since inception of share repurchase program Treasury Stock Shares Acquired Cumulative Since Inception Cumulative number of shares that have been repurchased since the inception of the share repurchase program. Total gains or (losses) (realized/unrealized) - included in other comprehensive income Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss) Other business Other Business [Member] Other Business Purchases of other investments Purchases of other investments Payments to Acquire Other Investments Other underwriting income Other Income Net premiums written Net premiums written Net Amount Premiums Written, Net Other items, net Increase (Decrease) in Other Operating Assets and Liabilities, Net Reserves for losses and loss adjustment expenses Unpaid Policy Claims and Claims Adjustment Expense, Policy [Policy Text Block] Stated interest rate (percentage) Debt Instrument, Interest Rate, Stated Percentage Statement of Financial Position [Abstract] Statement of Financial Position [Abstract] Total shareholders' equity available to Arch Balance at beginning of year Balance at end of year Total shareholders' equity Equity, Attributable to Parent Losses and loss adjustment expenses Losses and loss adjustment expenses Net Policyholder Benefits and Claims Incurred, Net Schedule of Finite-Lived Intangible Assets [Table] Schedule of Finite-Lived Intangible Assets [Table] Tax benefit from exercise of stock options and SARs Share-Based Payment Arrangement, Exercise of Option, Tax Benefit Bellemeade 2021-3 Ltd Bellemeade 2021-3 Ltd [Member] Bellemeade 2021-3 Ltd Net premiums earned Net premiums earned Premiums Earned, Net Number of Restricted Common Shares Restricted Stock [Member] Finite-Lived Intangible Assets, Major Class Name [Domain] Finite-Lived Intangible Assets, Major Class Name [Domain] Schedule of Stock by Class [Table] Schedule of Stock by Class [Table] Concentration Risk Type [Axis] Concentration Risk Type [Axis] Expected option life Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Term Income (loss) before income taxes Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest Unrealized appreciation (decline) in value of available-for-sale investments: OCI, Debt Securities, Available-for-Sale, Gain (Loss), after Adjustment and Tax [Abstract] Number of directors Number of Directors Number of Directors Not Designated as Hedging Instrument Not Designated as Hedging Instrument [Member] Net (purchases) sales of short-term investments Payments for (Proceeds from) Short-Term Investments Net investment income SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Net Investment Income Hedging Designation [Domain] Hedging Designation [Domain] Significant Other Observable Inputs (Level 2) Fair Value, Inputs, Level 2 [Member] Required contingency loss reserve as a percentage of net earned premiums Statutory Accounting Contingency Loss Reserve Percentage Of Net Earned Premiums Statutory Accounting Contingency Loss Reserve Percentage Of Net Earned Premiums Current year Net Losses and Loss Adjustment Expenses Incurred Related to Current Year Current Year Claims and Claims Adjustment Expense Deferred Acquisition Costs SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Deferred Policy Acquisition Cost Purchases of fixed assets Payments to Acquire Productive Assets Purchases of equity securities Payments to Acquire Equity Securities, FV-NI Condensed Income Statement [Table] Condensed Income Statement [Table] Named Executive Officers, Footnote Named Executive Officers, Footnote [Text Block] Goodwill and intangible assets, accumulated foreign currency translation and other adjustments Intangible Assets Including Goodwill, Accumulated Foreign Currency And Other Adjustments Intangible Assets Including Goodwill, Accumulated Foreign Currency And Other Adjustments Document Fiscal Period Focus Document Fiscal Period Focus Remaining capacity Line of Credit Facility, Remaining Borrowing Capacity Ceded Policyholder Benefits and Claims Incurred, Ceded Other geographic location Other Geographic Location [Member] Other Geographic Location [Member] 2027 Lessee, Operating Lease, Liability, to be Paid, Year Four Outstanding, beginning of year, weighted average exercise price Outstanding, end of year, weighted average exercise price Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price Share-based compensation Share-Based Payment Arrangement, Noncash Expense Incurred losses and allocated loss adjustment expenses, net of reinsurance Short-Duration Insurance Contracts, Incurred Claims and Allocated Claim Adjustment Expense, Net City Area Code City Area Code Product and Service [Axis] Product and Service [Axis] Earnings Per Common Share Earnings Per Share [Text Block] Condensed Income Statements, Captions [Line Items] Condensed Income Statements, Captions [Line Items] Percentage ownership Equity Method Investment, Ownership Percentage Document Fiscal Year Focus Document Fiscal Year Focus Geographical [Domain] Geographical [Domain] Operating lease term Lessee, Operating Lease, Term of Contract Bellemeade 2019-4 Ltd Bellemeade Re 2019-4 Ltd [Member] Bellemeade Re 2019-4 Ltd. Energy Other Investments Energy [Member] Other investments characterized as energy. Option activity Share-Based Payment Arrangement, Option, Activity [Table Text Block] Exercise Price Award Exercise Price Weighted average grant date fair value Share-Based Compensation Arrangement by Share-Based Payment Award, Option, Nonvested, Weighted Average Exercise Price Finite-Lived Intangible Assets by Major Class [Axis] Finite-Lived Intangible Assets by Major Class [Axis] Investment grade fixed income Investment Grade Fixed Income [Member] -- None. No documentation exists for this element. -- Total assets and liabilities measured at fair value priced using non-binding broker quotes (percentage) Percentage Of Total Assets And Liabilities Measured At Fair Value Priced Using Non Binding Broker Quotes Represents the percentage of aggregate assets and liabilities reported on the balance sheet at period end measured at fair value which were priced using non-binding broker quotes. Goodwill and Intangible Assets Disclosure [Abstract] Goodwill and Intangible Assets Disclosure [Abstract] Liabilities measured at fair value Liabilities, Fair Value Disclosure Derivative instruments Derivative Financial Instruments, Assets [Member] Balance sheet location of right of use asset Operating Lease, Right-of-Use Asset, Statement of Financial Position [Extensible Enumeration] Net income Net income Net income (loss) Net Income (Loss), Including Portion Attributable to Noncontrolling Interest Income taxes paid (received) Income Taxes Paid, Net Short duration contracts Short-Duration Insurance and Deposit Contracts [Text Block] Purchases Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Purchases Foreign currency translation adjustments Other Comprehensive Income (Loss), Foreign Currency Transaction and Translation Gain (Loss) Arising During Period, Net of Tax Share based compensation expense Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Table Text Block] Total liabilities, noncontrolling interests and shareholders' equity Total liabilities and shareholders' equity Liabilities and Equity Fixed maturities available for sale, at amortized cost Cost or Amortized Cost Amortized cost Debt Securities, Available-for-Sale, Amortized Cost Peer Group Total Shareholder Return Amount Peer Group Total Shareholder Return Amount Ownership [Domain] Ownership [Domain] Risk free interest rate Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Risk Free Interest Rate Remaining useful lives of intangible assets Finite-Lived Intangible Assets, Remaining Amortization Period Right-of-use assets Operating Lease, Right-of-Use Asset Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Table] Short-Duration Insurance Contracts, Reconciliation of Claims Development to Liability [Table] Schedule of Long-term Debt Instruments [Table] Schedule of Long-Term Debt Instruments [Table] Allowance for expected credit losses Allowance for Credit Losses [Text Block] Equity Valuation Assumption Difference, Footnote Equity Valuation Assumption Difference, Footnote [Text Block] Non-U.S. Current Foreign Tax Expense (Benefit) Performance shares, performance adjustment, weighted average grant date fair value Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Performance Adjustment, Weighted Average Grant Date Fair Value Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Performance Adjustment, Weighted Average Grant Date Fair Value Arrangement Duration Trading Arrangement Duration Equity method investment, aggregate cost Equity Method Investment, Aggregate Cost Investment expenses Investment Income, Investment Expense Entity Address, City or Town Entity Address, City or Town Award Timing MNPI Considered Award Timing MNPI Considered [Flag] Analysis of underwriting income (loss) by segment and reconciliation to net income (loss) available to common shareholders Schedule of Segment Reporting Information, by Segment [Table Text Block] Securities without single maturity date Debt Securities, Available-for-Sale, Maturity, without Single Maturity Date, Amortized Cost Investments, time lag for reporting - high end of range Equity Method Investments Time Lag For Reporting High End of Range Equity Method Investments Time Lag For Reporting High End of Range Net Losses and Loss Adjustment Expenses Incurred SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Benefit, Claim, Loss and Settlement Expenses Tax credits Effective Income Tax Rate Reconciliation, Tax Credit, Amount Impact of the deconsolidation of the variable interest entity Cash Divested from Deconsolidation Westpac Lenders Mortgage Insurance Limited Westpac Lenders Mortgage Insurance Limited [Member] Westpac Lenders Mortgage Insurance Limited Business Combinations [Abstract] Business Combinations [Abstract] Remaining share repurchase authorization Stock Repurchase Program, Remaining Authorized Repurchase Amount Termination Date Trading Arrangement Termination Date Credit related funds Credit Related Funds [Member] Credit Related Funds [Member] Arch Re US Arch Re US [Member] Arch Re US [Member] Common shares authorized Common Stock, Shares Authorized United States Current Federal, State and Local, Tax Expense (Benefit) Debt securities available for sale, at fair value Estimated fair value Debt Securities, Available-for-Sale Supplementary Insurance Information SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information, Disclosure [Text Block] Gross Unrealized Gains Debt Securities, Available-for-Sale, Accumulated Gross Unrealized Gain, before Tax Collateral or guarantees - affiliated transactions Collateral or guarantees - affiliated transactions [Member] -- None. No documentation exists for this element. -- Short-term investments available for sale, at fair value (amortized cost: $2,064 and $1,333; net of allowance for credit losses: $0 and $0 ) Short-term investments Short-Term Investments [Member] Indefinite-lived Intangible Assets [Axis] Indefinite-Lived Intangible Assets [Axis] Stock options Incremental Common Shares Attributable to Dilutive Effect of Call Options and Warrants Adjustments to reconcile net income to net cash provided by operating activities: Adjustments to Reconcile Net Income (Loss) to Cash Provided by (Used in) Operating Activities [Abstract] Concentration Risk [Table] Ceded Credit Risk [Table] Related Party Transactions [Abstract] Related Party Transactions [Abstract] Derivative [Line Items] Derivative [Line Items] Award Timing Disclosures [Line Items] Long-tailed lines Long Tailed Lines [Member] Long Tailed Lines [Member] Insurance Insurance Segment [Member] The insurance segment consists of the Company’s insurance underwriting units which offer specialty product lines on a worldwide basis. Shareholders' equity Stockholders' Equity, Total [Member] Investment Investment [Text Block] Year Four Short-Duration Insurance Contracts, Historical Claims Duration, Year Four Bermuda Office of the Tax Commissioner, Bermuda [Member] Aggregate fair value of vested restricted share and unit awards (in millions) Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value Construction and national accounts Construction And National Accounts [Member] Construction And National Accounts [Member] Investment in affiliate, price per share Investment In Affiliate, Price Per Share Investment In Affiliate, Price Per Share Due after five years through 10 years Debt Securities, Available-for-Sale, Fair Value, Maturity, Allocated and Single Maturity Date, after Year 5 Through 10 Depreciation and amortization Deferred Tax Assets Depreciation And Amortization Deferred Tax Assets Depreciation And Amortization Fair value option Fair Value Option [Member] Investments accounted for using the fair value option. Retroactive accounting Retroactive Accounting Policy [Policy Text Block] Disclosure of accounting policy for those reinsurance contracts that contain both prospective and retrospective elements related to the underlying contracts. Somers Holdings Ltd. Somers Holdings Ltd. [Member] Somers Holdings Ltd. Pledged Status [Domain] Pledged Status [Domain] Derivative instruments Derivative Financial Instruments, Liabilities [Member] Intangible assets with a finite life, foreign currency translation adjustment Finite-Lived Intangible Assets, Foreign Currency Translation Gain (Loss) Derivative liabilities subject to master netting agreements Derivative Liability, Subject to Master Netting Arrangement, before Offset of Collateral Income taxes Income Tax, Policy [Policy Text Block] 2026 Finite-Lived Intangible Asset, Expected Amortization, Year Three Reserves for Losses and Loss Adjustment Expenses SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Reserve for Unpaid Claim and Claim Adjustment Expense Municipal bonds Municipal Bonds [Member] Insider Trading Arrangements [Line Items] Proportionate interest of preference shares, per depositary share Proportionate Interest of Preference Shares, Per Depositary Share Proportionate Interest of Preference Shares, Per Depositary Share Disclosure Statutory Information [Abstract] Disclosure Statutory Information [Abstract] Disclosure Statutory Information [Abstract] Lending Other Investments Lending [Member] Other investments characterized as lending. Related Party [Axis] Related Party, Type [Axis] Total for short duration lines Short Duration Lines Of Business [Member] Short Duration Lines Of Business [Member] Consolidated Subsidiaries SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters, Consolidated Property and Casualty Insurance Entity [Member] Additions for current-period provision for expected credit losses Debt Securities, Available-for-Sale, Allowance for Credit Loss, Not Previously Recorded United Guaranty Residential Insurance Company United Guaranty Residential Insurance Company [Member] United Guaranty Residential Insurance Company [Member] Directly provided capacity Directly Provided Capacity [Member] Directly Provided Capacity Short Tailed And Long Tailed Lines Short Tailed And Long Tailed Lines [Member] Short Tailed And Long Tailed Lines Entity Registrant Name Entity Registrant Name Bellemeade 2018-1 Ltd Bellemeade Re 2018-1 Ltd [Member] Bellemeade Re 2018-1 Ltd [Member] Material Terms of Trading Arrangement Material Terms of Trading Arrangement [Text Block] Award Timing Method Award Timing Method [Text Block] 2025 Finite-Lived Intangible Asset, Expected Amortization, Year Two Intangible assets (indefinite life) Indefinite-Lived Intangible Assets (Excluding Goodwill) [Abstract] Debt Securities, Available-for-sale, Allowance for Credit Loss [Table] Debt Securities, Available-for-Sale, Allowance for Credit Loss [Table] Income Tax Disclosure [Table] Income Tax Disclosure [Table] Income Tax Disclosure [Table] Unrecognized compensation cost Share-Based Payment Arrangement, Nonvested Award, Cost [Table Text Block] Adjustment to Compensation, Amount Adjustment to Compensation Amount Casualty Casualty [Member] -- None. No documentation exists for this element. -- United States Deferred Federal, State and Local, Tax Expense (Benefit) Net assets Net Assets Goodwill and intangible assets, acquisitions Goodwill and intangible assets, acquisitions Intangible Assets Including Goodwill Acquired During the Period Intangible Assets Including Goodwill Acquired During the Period Auditor Name Auditor Name Compensation Actually Paid vs. Net Income Compensation Actually Paid vs. Net Income [Text Block] Peer Group Issuers, Footnote Peer Group Issuers, Footnote [Text Block] Preferred shares, dividend rate (as a percent) Preferred Stock, Dividend Rate, Percentage Fair value hierarchy Schedule of Fair Value, Assets and Liabilities Measured on Recurring Basis [Table Text Block] Exercisable, end of year, weighted average exercise price Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Weighted Average Exercise Price Secured letter of credit facility Secured letter of credit facility [Member] A secured letter of credit facility available to the Company. Other Corporate and Other [Member] Entity Central Index Key Entity Central Index Key Derivative instruments Net realized gains (losses) on derivative instruments Derivative, Gain (Loss) on Derivative, Net Total gains or (losses) (realized/unrealized) - included in earnings Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings Significant Accounting Policies [Table] Significant Accounting Policies [Table] Significant Accounting Policies [Table] Share based compensation expense Share-Based Payment Arrangement, Expense Optional increased capacity Line Of Credit Facility Optional Increased Capacity Line Of Credit Facility Optional Increased Capacity Non-Rule 10b5-1 Arrangement Terminated Non-Rule 10b5-1 Arrangement Terminated [Flag] Intangible assets with a finite life, gross balance Finite-Lived Intangible Assets, Gross Income Tax Authority [Domain] Income Tax Authority [Domain] Summary of operating loss carryforwards Summary of Operating Loss Carryforwards [Table Text Block] Name Trading Arrangement, Individual Name North Carolina NORTH CAROLINA SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Table] SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Table] Net current period other comprehensive income (loss) Other Comprehensive Income (Loss), Net of Tax, Portion Attributable to Parent Preferred shares issued Stock Issued During Period, Value, New Issues Bellemeade 2019-3 Ltd Bellemeade 2019-3 Ltd [Member] Bellemeade 2019-3 Ltd. [Member] Net unrealized decline of investments Deferred Tax Asset, Debt Securities, Available-for-Sale, Unrealized Loss Additions (reductions) for previously recognized expected credit losses Debt Securities, Available-for-Sale, Allowance for Credit Loss, Not to Sell before Recovery, Credit Loss, Previously Recorded, Expense (Reversal) Entity [Domain] Entity [Domain] Long-term Debt, Type [Axis] Long-Term Debt, Type [Axis] Amendment Flag Amendment Flag Net realized gains (losses) on derivative instruments Derivative, Gain (Loss) on Derivative, Net [Abstract] Legal Entity [Axis] Legal Entity [Axis] Goodwill and intangible assets Deferred Tax Assets, Goodwill and Intangible Assets Insurance licenses Licensing Agreements [Member] Weighted average discount rate Operating Lease, Weighted Average Discount Rate, Percent Senior notes Senior Notes Tax Period [Domain] Tax Period [Domain] Interest paid Interest Paid, Excluding Capitalized Interest, Operating Activities Due in one year or less Debt Securities, Available-for-Sale, Fair Value, Maturity, Allocated and Single Maturity Date, Year One Proceeds from sales, redemptions and maturities of other investments Proceeds from Sale of Other Investments Sales Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Sales Acquisition expense ratio Acquisition Expense Ratio Percentage The acquisition expense ratio is obtained by dividing acquisition costs, net of certain fee income, by net premiums earned. Senior notes Carrying amount Senior Notes, Noncurrent Diluted (shares) Weighted average common shares and common share equivalents outstanding — diluted Weighted Average Number of Shares Outstanding, Diluted Current Coverage Aggregate Excess Of Loss Reinsurance Agreement Aggregate Excess Of Loss Reinsurance Agreement Forgone Recovery, Explanation of Impracticability Forgone Recovery, Explanation of Impracticability [Text Block] Acquisition expenses Acquisition expenses, net Deferred Policy Acquisition Costs, Amortization Expense Capital contributed to subsidiaries Capital Contributions To Subsidiaries The amount of capital contributions to wholly-owned subsidiaries, which is eliminated upon consolidation. Restricted Assets Restriction Type [Axis] Restricted Assets Restriction Type [Axis] The types of restrictions that are imposed on the Company. Net realized gains (losses) Debt Securities, Available-for-Sale, Realized Gain (Loss) Property catastrophe Property Catastrophe [Member] -- None. No documentation exists for this element. -- Allowance for credit losses - underwriting related Underwriting Related Allowance For Credit Losses Credit Loss Expense Reversal Amount of expense (reversal of expense) for expected credit loss on underwriting related assets. Reinsurance ceded Reinsurance Accounting Policy [Policy Text Block] Reinsurance SEC Schedule, 12-17, Insurance Companies, Reinsurance [Text Block] Expenses Operating Expenses [Abstract] Number of additional shares authorized Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Additional Shares Authorized Intangible assets with an indefinite life, acquisitions Indefinite-Lived Intangible Assets Acquired Available for sale securities, gross losses on investment sales Debt Securities, Available-for-Sale, Realized Loss Company Selected Measure Amount Company Selected Measure Amount Total assets Total assets Total VIE Assets Assets Name Awards Close in Time to MNPI Disclosures, Individual Name Percentage annual payout by age Short-Duration Insurance Contracts, Schedule of Historical Claims Duration [Table Text Block] Amortization of share-based compensation APIC, Share-Based Payment Arrangement, Increase for Cost Recognition Ceded Ceded Premiums Earned Statutory net income (loss) Statutory Accounting Practices, Statutory Net Income Amount Year Ten Short-Duration Insurance Contracts, Historical Claims Duration, Year 10 5.031% senior notes due 2046 Senior Notes Due 2046 [Member] Senior Notes Due 2046 [Member] Effects of reinsurance Effects of Reinsurance [Table Text Block] Vested, weighted average grant date fair value Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period, Weighted Average Grant Date Fair Value Non-NEOs Non-NEOs [Member] Open tax year Open Tax Year Income Tax Contingency [Line Items] Income Tax Contingency [Line Items] Total assets and liabilities measured at fair value priced using non-binding broker quotes Total Assets And Liabilities Measured At Fair Value Priced Using Non Binding Broker Quotes Represents the aggregate of the assets and liabilities reported on the balance sheet at period end measured at fair value which were priced using non-binding broker quotes. Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses (net of allowance for credit losses: $21 and $22) Balance at beginning of period Balance at end of period Reinsurance recoverable for paid and unpaid claims and claims adjustments Reinsurance Recoverable for Paid and Unpaid Claims and Claims Adjustments Level 3 assets rollforward Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward] Financing Activities: Net Cash Provided by (Used in) Financing Activities [Abstract] Non-PEO NEO Non-PEO NEO [Member] Goodwill and intangible assets impairment Goodwill and Intangible Asset Impairment Adjustment to Compensation: Adjustment to Compensation [Axis] Statutory Accounting Practices, Jurisdiction [Domain] Statutory Accounting Practices, Jurisdiction [Domain] Debt Instrument [Line Items] Debt Instrument [Line Items] Net operating loss Deferred Tax Assets, Operating Loss Carryforwards Basic (shares) Weighted Average Number of Shares Outstanding, Basic Scenario [Axis] Scenario [Axis] Concentration Risk Benchmark [Axis] Concentration Risk Benchmark [Axis] SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items] SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items] Revenues Revenues [Abstract] Comprehensive Income Comprehensive Income (Loss), Net of Tax, Attributable to Parent [Abstract] Pay vs Performance Disclosure Pay vs Performance Disclosure [Table] Operating Activities: Net Cash Provided by (Used in) Operating Activities, Continuing Operations [Abstract] Statement [Line Items] Statement [Line Items] Concentration Risk [Table] Concentration Risk [Table] US Credit Risk Transfer And Other US Credit Risk Transfer And Other [Member] US Credit Risk Transfer And Other Term loan investments Term Loan Investments [Member] -- None. No documentation exists for this element. -- Reinsurance Business By Type [Domain] Reinsurance Business By Type [Domain] The broad types of reinsurance business: short, medium or long-tailed business Arch Re Bermuda Arch Re Bermuda [Member] Arch Re Bermuda is the Company's Bermuda reinsurance and insurance subsidiary. Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable Increase Decrease In Loss And Loss Adjustment Expenses Net Of Recoverables The net increase (decrease) in the Loss and loss adjustment expense reserve, net of recoverables. Reclassification out of Accumulated Other Comprehensive Income [Domain] Reclassification out of Accumulated Other Comprehensive Income [Domain] Amortized Cost: Debt Securities, Available-for-Sale, Amortized Cost, Fiscal Year Maturity [Abstract] Other Other Investment Income [Member] -- None. 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htm IDEA: XBRL DOCUMENT v3.24.0.1
Document and Entity Information - USD ($)
$ in Billions
12 Months Ended
Dec. 31, 2023
Feb. 16, 2024
Jun. 30, 2023
Document and Entity Information [Abstract]      
Document Type 10-K    
Document Annual Report true    
Amendment Flag false    
Document Transition Report false    
Document Period End Date Dec. 31, 2023    
Entity File Number 001-16209    
Entity Registrant Name ARCH CAPITAL GROUP LTD.    
Entity Incorporation, State or Country Code D0    
Entity Tax Identification Number 98-0374481    
Entity Address, Address Line One Waterloo House, Ground Floor    
Entity Address, Address Line Two 100 Pitts Bay Road,    
Entity Address, City or Town Pembroke    
Entity Address, Postal Zip Code HM 08,    
Entity Address, Country BM    
City Area Code (441)    
Local Phone Number 278-9250    
Entity Listings [Line Items]      
Entity Well-known Seasoned Issuer Yes    
Entity Voluntary Filers No    
Entity Current Reporting Status Yes    
Entity Interactive Data Current Yes    
Entity Filer Category Large Accelerated Filer    
Entity Small Business false    
Entity Emerging Growth Company false    
ICFR Auditor Attestation Flag true    
Document Financial Statement Error Correction [Flag] false    
Entity Shell Company false    
Entity Public Float     $ 26.9
Entity Common Stock, Shares Outstanding   374,151,215  
Documents Incorporated by Reference
Portions of Part III and Part IV incorporate by reference our definitive proxy statement for the 2024 annual meeting of shareholders to be filed with the Securities and Exchange Commission pursuant to Regulation 14A within 120 days after December 31, 2023.
   
Entity Central Index Key 0000947484    
Current Fiscal Year End Date --12-31    
Document Fiscal Year Focus 2023    
Document Fiscal Period Focus FY    
Common shares      
Entity Listings [Line Items]      
Title of 12(b) Security Common Shares, $0.0011 par value per share    
Trading Symbol ACGL    
Security Exchange Name NASDAQ    
Series F depositary share equivalent      
Entity Listings [Line Items]      
Title of 12(b) Security Depositary shares, each representing a 1/1,000th interest in a 5.45% Series F preferred share    
Trading Symbol ACGLO    
Security Exchange Name NASDAQ    
Series G depositary share equivalent      
Entity Listings [Line Items]      
Title of 12(b) Security Depositary shares, each representing a 1/1,000th interest in a 4.55% Series G preferred share    
Trading Symbol ACGLN    
Security Exchange Name NASDAQ    

XML 18 R2.htm IDEA: XBRL DOCUMENT v3.24.0.1
Audit Information
12 Months Ended
Dec. 31, 2023
Audit Information [Abstract]  
Auditor Name PricewaterhouseCoopers LLP
Auditor Location New York, New York
Auditor Firm ID 238
XML 19 R3.htm IDEA: XBRL DOCUMENT v3.24.0.1
Consolidated Balance Sheets - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Investments:    
Debt securities available for sale, at fair value $ 25,616 $ 21,015
Equity securities, at fair value 1,186 860
Other investments (portion measured at fair value: $2,488 and $1,644) 2,488 1,644
Investments accounted for using the equity method 4,566 3,774
Total investments 33,856 27,293
Cash 917 855
Accrued investment income 236 159
Investment in operating affiliates 1,119 965
Premiums receivable (net of allowance for credit losses: $34 and $35) 4,644 3,625
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses (net of allowance for credit losses: $21 and $22) 7,064 6,564
Contractholder receivables (net of allowance for credit losses: $3 and $3) 1,814 1,731
Ceded unearned premiums 2,170 1,799
Deferred acquisition costs 1,531 1,264
Receivable for securities sold 63 12
Goodwill and intangible assets 731 804
Other assets 4,761 2,919
Total assets 58,906 47,990
Liabilities    
Reserve for losses and loss adjustment expenses 22,752 20,032
Unearned premiums 8,808 7,337
Reinsurance balances payable 2,000 1,530
Contractholder payables 1,817 1,734
Collateral held for insured obligations 259 249
Senior notes 2,726 2,725
Payable for securities purchased 247 95
Other liabilities 1,942 1,367
Total liabilities 40,551 35,069
Commitments and Contingencies
Redeemable noncontrolling interests 2 11
Shareholders’ Equity    
Non-cumulative preferred shares 830 830
Common shares ($0.0011 par, shares issued: 591.9 and 588.3) 1 1
Additional paid-in capital 2,327 2,211
Retained earnings 20,295 15,892
Accumulated other comprehensive income (loss), net of deferred income tax (676) (1,646)
Common shares held in treasury, at cost (shares: 218.5 and 217.9) (4,424) (4,378)
Total shareholders' equity available to Arch 18,353 12,910
Total liabilities, noncontrolling interests and shareholders' equity 58,906 47,990
Fixed maturities available for sale, at fair value (amortized cost: $24,131 and $21,282; net of allowance for credit losses: $28 and $41)    
Investments:    
Debt securities available for sale, at fair value 23,553 19,683
Short-term investments available for sale, at fair value (amortized cost: $2,064 and $1,333; net of allowance for credit losses: $0 and $0 )    
Investments:    
Debt securities available for sale, at fair value $ 2,063 $ 1,332
XML 20 R4.htm IDEA: XBRL DOCUMENT v3.24.0.1
Consolidated Balance Sheets (Parentheticals) - USD ($)
shares in Millions, $ in Millions
Dec. 31, 2023
Dec. 31, 2022
Fixed maturities available for sale, at amortized cost $ 26,195 $ 22,615
Allowance for credit losses on investments 28 41
Investments accounted for using the fair value option 2,488 1,644
Allowance for credit losses on premiums receivable 34 35
Allowance for credit losses on reinsurance recoverable 21 22
Allowance for credit loss on contractholder receivable $ 3 $ 3
Common shares, par value per share $ 0.0011 $ 0.0011
Common shares issued (shares) 591.9 588.3
Common shares held in treasury (shares) 218.5 217.9
Fixed maturities available for sale, at fair value (amortized cost: $24,131 and $21,282; net of allowance for credit losses: $28 and $41)    
Fixed maturities available for sale, at amortized cost $ 24,131 $ 21,282
Allowance for credit losses on investments 28 41
Short-term investments    
Fixed maturities available for sale, at amortized cost 2,064 1,333
Allowance for credit losses on investments $ 0 $ 0
XML 21 R5.htm IDEA: XBRL DOCUMENT v3.24.0.1
Consolidated Statements of Income - USD ($)
shares in Millions, $ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Revenues      
Net premiums earned $ 12,440 $ 9,679 $ 8,082
Net investment income 1,023 496 389
Net realized gains (losses) (165) (663) 380
Other underwriting income 31 13 21
Equity in net income of investments accounted for using the equity method 278 115 366
Other income (loss) 27 (27) 10
Total revenues 13,634 9,613 9,248
Expenses      
Losses and loss adjustment expenses 6,246 5,028 4,585
Acquisition expenses 2,312 1,740 1,303
Other operating expenses 1,301 1,128 999
Corporate expenses 102 95 78
Amortization of intangible assets 95 106 82
Interest expense 133 131 139
Net foreign exchange losses (gains) 60 (102) (41)
Total expenses 10,249 8,126 7,145
Income before income taxes and income (loss) from operating affiliates 3,385 1,487 2,103
Income taxes:      
Current tax expense (benefit) 288 201 295
Deferred tax expense (benefit) (1,161) (121) (167)
Income tax expense (benefit) (873) 80 128
Income (loss) from operating affiliates 184 75 264
Net income 4,442 1,482 2,239
Net (income) loss attributable to noncontrolling interests 1 (6) (82)
Net income available to Arch 4,443 1,476 2,157
Preferred share dividends (40) (40) (48)
Loss on redemption of preferred shares 0 0 (15)
Net income available to Arch common shareholders $ 4,403 $ 1,436 $ 2,094
Net income per common share and common share equivalent      
Basic (per share) $ 11.94 $ 3.90 $ 5.35
Diluted (per share) $ 11.62 $ 3.80 $ 5.23
Weighted average common shares and common share equivalents outstanding      
Basic (shares) 368.7 368.6 391.7
Diluted (shares) 378.8 377.6 400.3
XML 22 R6.htm IDEA: XBRL DOCUMENT v3.24.0.1
Consolidated Statements of Comprehensive Income - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Comprehensive Income      
Net income $ 4,442 $ 1,482 $ 2,239
Unrealized appreciation (decline) in value of available-for-sale investments:      
Unrealized holding gains (losses) arising during year 547 (1,772) (386)
Reclassification of net realized (gains) losses, included in net income 400 247 (117)
Foreign currency translation adjustments 23 (56) (65)
Comprehensive income (loss) 5,412 (99) 1,671
Net (income) loss attributable to noncontrolling interests 1 (6) (82)
Other comprehensive (income) loss attributable to noncontrolling interests 0 0 14
Comprehensive income available to Arch (loss) $ 5,413 $ (105) $ 1,603
XML 23 R7.htm IDEA: XBRL DOCUMENT v3.24.0.1
Consolidated Statements of Changes in Shareholders' Equity - USD ($)
$ in Millions
Total
Non-cumulative preferred shares
Common shares
Additional paid-in capital
Retained earnings
Accumulated other comprehensive income (loss)
Unrealized Appreciation on Available-For-Sale Investments
Foreign currency translation adjustments, net of deferred income tax
Common shares held in treasury, at cost
Balance at beginning of year at Dec. 31, 2020   $ 780 $ 1 $ 1,978 $ 12,362 $ 489 $ 501 $ (12) $ (2,504)
Preferred shares issued   500              
Preferred shares redeemed   (450)              
Issue costs on preferred shares issued       (14)          
Loss on redemption of preferred shares $ (15)     15 (15)        
Amortization of share-based compensation       86          
Other changes       20          
Net income 2,239       2,239        
Net (income) loss attributable to noncontrolling interests (82)       (82)        
Preferred share dividends (48)       (48)        
Unrealized holding gains (losses) during period, net of reclassification adjustment             (503)    
Unrealized holding gains (losses) during period attributable to noncontrolling interests             15    
Foreign currency translation adjustments (65)             (65)  
Foreign currency translation adjustments attributable to noncontrolling interests               (1)  
Shares repurchased for treasury (1,234)               (1,257)
Balance at end of year at Dec. 31, 2021 13,546 830 1 2,085 14,456 (65) 13 (78) (3,761)
Preferred shares issued   0              
Preferred shares redeemed   0              
Issue costs on preferred shares issued       0          
Loss on redemption of preferred shares 0     0 0        
Amortization of share-based compensation       88          
Other changes       38          
Net income 1,482       1,482        
Net (income) loss attributable to noncontrolling interests (6)       (6)        
Preferred share dividends (40)       (40)        
Unrealized holding gains (losses) during period, net of reclassification adjustment             (1,525)    
Unrealized holding gains (losses) during period attributable to noncontrolling interests             0    
Foreign currency translation adjustments (56)             (56)  
Foreign currency translation adjustments attributable to noncontrolling interests               0  
Shares repurchased for treasury (586)               (617)
Balance at end of year at Dec. 31, 2022 12,910 830 1 2,211 15,892 (1,646) (1,512) (134) (4,378)
Preferred shares issued   0              
Preferred shares redeemed   0              
Issue costs on preferred shares issued       0          
Loss on redemption of preferred shares 0     0 0        
Amortization of share-based compensation       93          
Other changes       23          
Net income 4,442       4,442        
Net (income) loss attributable to noncontrolling interests 1       1        
Preferred share dividends (40)       (40)        
Unrealized holding gains (losses) during period, net of reclassification adjustment             947    
Unrealized holding gains (losses) during period attributable to noncontrolling interests             0    
Foreign currency translation adjustments 23             23  
Foreign currency translation adjustments attributable to noncontrolling interests               0  
Shares repurchased for treasury 0               (46)
Balance at end of year at Dec. 31, 2023 $ 18,353 $ 830 $ 1 $ 2,327 $ 20,295 $ (676) $ (565) $ (111) $ (4,424)
XML 24 R8.htm IDEA: XBRL DOCUMENT v3.24.0.1
Consolidated Statements of Cash Flows - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Operating Activities      
Net income $ 4,442 $ 1,482 $ 2,239
Adjustments to reconcile net income to net cash provided by operating activities:      
Net realized (gains) losses 182 651 (427)
Equity in net (income) or loss of investments accounted for using the equity method and other income or loss (215) 154 (464)
Amortization of intangible assets 95 106 82
Share-based compensation 93 88 88
Changes in:      
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable 2,138 1,890 1,762
Unearned premiums, net of ceded unearned premiums 1,028 1,399 935
Premiums receivable (981) (1,110) (685)
Deferred acquisition costs (235) (374) (263)
Reinsurance balances payable 455 (36) 499
Deferred income tax assets, net (1,161) (121) (167)
Other items, net (92) (313) (174)
Net cash provided by operating activities 5,749 3,816 3,425
Investing Activities:      
Purchases of fixed maturity investments (18,062) (16,390) (35,452)
Purchases of equity securities (456) (797) (1,175)
Purchases of other investments (2,171) (1,720) (1,859)
Proceeds from sales of fixed maturity investments 14,105 11,844 33,577
Proceeds from sales of equity securities 288 1,554 918
Proceeds from sales, redemptions and maturities of other investments 768 1,220 1,766
Proceeds from redemptions and maturities of fixed maturity investments 781 715 1,629
Net settlements of derivative instruments 50 (69) (39)
Net (purchases) sales of short-term investments (696) 467 165
Purchase of operating affiliate 0 0 (754)
Impact of the deconsolidation of the variable interest entity 0 0 (349)
Purchases of fixed assets (52) (50) (41)
Other (23) 125 (524)
Net cash used for investing activities (5,468) (3,101) (2,138)
Financing Activities:      
Proceeds from issuance of preferred shares, net 0 0 486
Redemption of preferred shares 0 0 (450)
Purchases of common shares under share repurchase program 0 (586) (1,234)
Proceeds from common shares issued, net (2) 6 6
Third party investment in non-redeemable noncontrolling interests 0 0 16
Third party investment in redeemable noncontrolling interests (22) 0 0
Dividends paid to redeemable noncontrolling interests 0 0 (2)
Other (5) (86) (4)
Preferred dividends paid (40) (40) (47)
Net Cash Provided by (Used in) Financing Activities (69) (706) (1,229)
Effects of exchange rate changes on foreign currency cash and restricted cash 13 (50) (34)
Increase (decrease) in cash and restricted cash 225 (41) 24
Cash and restricted cash, beginning of year 1,273 1,314 1,290
Cash and restricted cash, end of year 1,498 1,273 1,314
Supplemental cash flow information      
Income taxes paid (received) 267 255 286
Interest paid $ 127 $ 128 $ 139
XML 25 R9.htm IDEA: XBRL DOCUMENT v3.24.0.1
General
12 Months Ended
Dec. 31, 2023
Organization, Consolidation and Presentation of Financial Statements [Abstract]  
General
Arch Capital Group Ltd. (“Arch Capital” or “Arch”) is a publicly listed Bermuda exempted company which provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries. As used herein, the “Company” means Arch Capital and its subsidiaries. Similarly, “Common Shares” means the common shares of Arch Capital.
The Company’s 2021 consolidated financial statements included the results of Somers Group Holdings Ltd. (formerly Watford Holdings Ltd.) and its wholly owned subsidiaries (“Somers”). Effective July 1, 2021, Somers is wholly owned by Greysbridge Holdings Ltd., (“Greysbridge”) and Greysbridge is owned 40% by the Company, 30% by certain investment funds managed by Kelso & Company (“Kelso”) and 30% by certain investment funds managed by Warburg Pincus LLC (“Warburg”). Based on the governing documents of Greysbridge, the Company concluded that, while it retains significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, Arch no longer consolidates the results of Somers in its consolidated financial statements and footnotes. See note 12, “Variable Interest Entity and Noncontrolling Interests”.
The Company has reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on the Company’s net income, shareholders’equity or cash flows. All amounts are in millions, except per share amounts, unless otherwise noted.
XML 26 R10.htm IDEA: XBRL DOCUMENT v3.24.0.1
Acquisitions
12 Months Ended
Dec. 31, 2023
Business Combinations [Abstract]  
Business Acquired
Westpac Lenders Mortgage Insurance Limited (“WLMI”)
On August 31, 2021, the Company completed the acquisition of WLMI, an Australian Prudential Regulation Authority authorized captive lenders mortgage insurance (“LMI”) provider to the Westpac Banking Corporation (“Westpac”). As part of the acquisition, WLMI retained its existing risk in force and will remain Westpac’s exclusive provider of LMI on new mortgage originations for a period of 10 years from the acquisition date. The Company was renamed Arch Lenders Mortgage Indemnity Limited (“Arch Indemnity”) and will be the Company’s primary provider of LMI to the Australian market.
Somerset Bridge Group Limited, Southern Rock Holdings Limited and affiliates (“Somerset Group”)
On August 6, 2021, the Company completed the acquisition of Somerset Group. The acquisition includes Somerset Group’s motor insurance managing general agent, distribution capabilities through direct and aggregator channels, affiliated insurer and fully integrated claims operation.
In connection with the acquisitions noted above, the Company increased its goodwill and intangible assets by $350.1 million.
XML 27 R11.htm IDEA: XBRL DOCUMENT v3.24.0.1
Significant Accounting Policies
12 Months Ended
Dec. 31, 2023
Accounting Policies [Abstract]  
Significant accounting policies
(a) Basis of Presentation
The consolidated financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America (“GAAP”) and include the accounts of Arch Capital and its subsidiaries, including Arch Reinsurance Ltd. (“Arch Re Bermuda”), Arch Reinsurance Company (“Arch Re U.S.”), Arch Capital Group (U.S.) Inc.(“Arch-U.S.”), Arch Insurance Company, Arch Specialty Insurance Company, Arch Property Casualty Insurance Company (“Arch P&C”), Arch Indemnity Insurance Company (“Arch Indemnity Insurance”), Arch Insurance Canada Ltd. (“Arch Insurance Canada”), Arch Reinsurance Europe Designated Activity Company (“Arch Re Europe”), Arch Mortgage Insurance Company (“AMIC”), Arch Mortgage Guaranty Company (“AMG”), United Guaranty Residential Insurance Company (“UGRIC”), Arch Indemnity, Arch Insurance (EU) Designated Activity Company (“Arch Insurance (EU)”), Arch Insurance (U.K.) Limited (“Arch Insurance (U.K.)”) and the Company’s participation on Lloyd’s of London syndicates: 2012 (“Arch Syndicate 2012”) and 1955 (“Arch Syndicate 1955” and together with Arch Syndicate 2012, the Company’s “Lloyd’s Syndicates”). All significant intercompany transactions and balances have been eliminated in consolidation.
The preparation of financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and disclosure of contingent assets and liabilities at the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. Actual results could differ materially from those estimates and assumptions. The Company’s principal estimates include:
The reserve for losses and loss adjustment expenses;
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses, including the provision for uncollectible amounts;
Estimates of written and earned premiums;
The valuation of the investment portfolio and assessment of allowance for credit losses;
The valuation of purchased intangible assets;
The assessment of goodwill and intangible assets for impairment; and
The valuation of deferred income tax assets.
(b) Premium Revenues and Related Expenses
Insurance. Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates that are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.
Reinsurance. Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by the Company’s own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of the Company’s experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to the Company. On an ongoing basis, the Company’s underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account the Company’s historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which the Company assumes business generally contain specific provisions which allow the Company to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined.
Reinsurance premiums written are recorded based on the type of contracts the Company writes. Premiums on the Company’s excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on
the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks are expected to incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.
Reinsurance premiums written, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period. Certain of the Company’s reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.
The Company also writes certain reinsurance business that is intended to provide insurers with risk management solutions that complement traditional reinsurance. Under these contracts, the Company assumes a measured amount of insurance risk in exchange for an anticipated margin, which is typically lower than on traditional reinsurance contracts. The terms and conditions of these contracts may include additional or return premiums based on loss experience, loss corridors, sublimits and caps. Examples of such business include aggregate stop-loss coverages, financial quota share coverages and multi-year retrospectively rated excess of loss coverages. If these contracts are deemed to transfer risk, they are accounted for as reinsurance. Otherwise, such contracts are accounted for under the deposit method.
Mortgage. Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, the Company is not able to re-underwrite or re-price its policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage insurance premiums written on
policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled due to repayment by the borrower and the policy is a non-refundable product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.
Unearned premiums for the Company’s mortgage operations represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.
Reinstatement premiums for the Company’s insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment.
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned. A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts.
Premiums receivable include amounts receivable from agents, brokers and insured that are both currently due and amounts not yet due on insurance, reinsurance and mortgage insurance policies. Premiums receivable balances are reported net of an allowance for expected credit losses. The Company monitors credit risk associated with premiums receivable through its ongoing review of amounts outstanding, aging of the receivable, historical loss data, and
counterparty financial strength measures. The allowance also includes estimated uncollectible amounts related to dispute risk. In certain instances, credit risk may be reduced by the Company’s right to offset loss obligations or unearned premiums against premiums receivable. Any allowance for credit losses is charged to net realized gains (losses) in the period the receivable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
Acquisition Costs. Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. The Company’s insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For the Company’s mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, the Company estimates the rate of amortization to reflect actual experience and any changes to persistency or loss development.
Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.
A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs and maintenance costs exceed unearned premiums (including expected future premiums) and anticipated investment income. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.
To assess the need for a PDR on mortgage exposures, the Company develops loss projections based on modeled loan defaults related to its current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected
profitability of the Company’s existing mortgage insurance business and the need for a PDR for its mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. No premium deficiency charges were recorded by the Company during 2023, 2022 or 2021.
(c) Deposit Accounting
Certain assumed reinsurance contracts that are deemed not to transfer insurance risk, are accounted for using the deposit method of accounting. However, it is possible that the Company could incur financial losses on such contracts. Management exercises significant judgment in the assumptions used in determining whether assumed contracts should be accounted for as reinsurance contracts or deposit contracts. For those contracts that contain only significant underwriting risk, the estimated profit margin is deferred and amortized over the contract period and such amount is included in the Company’s underwriting results. When the estimated profit margin is explicit, the margin is reflected as other underwriting income and any adverse financial results on such contracts are reflected as incurred losses. When the estimated profit margin is implicit, the margin is reflected as an offset to paid losses and any adverse financial results on such contracts are reflected as incurred losses. Additional judgments are required when applying the accounting guidance with respect to the revenue recognition criteria for contracts deemed to transfer only significant underwriting risk. For those contracts that contain only significant timing risk, an accretion rate is established at inception of the contract based on actuarial estimates whereby the deposit accounting liability is increased to the estimated amount payable over the contract term. The accretion on the deposit is based on the expected rate of return required to fund the expected future payment obligations. Periodically the Company reassesses the estimated ultimate liability and the related expected rate of return. The accretion of the deposit accounting liability as well as changes to the estimated ultimate liability and the accretion rate would be reflected as part of interest expense in the Company’s results of operations. Any negative accretion in a deposit accounting liability is shown in other underwriting income in the Company’s results of operations.
Under some of these contracts, the ceding company retains the related assets on a funds held basis. Such amounts are included in “Other assets” on the Company’s balance sheet. Interest income produced by those assets are recorded as part of net investment income in the Company's results of operations.
(d) Retroactive Reinsurance
Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, the Company bifurcates the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.
(e) Reinsurance Ceded
In the normal course of business, the Company purchases reinsurance to increase capacity and to limit the impact of individual losses and events on its underwriting results by reinsuring certain levels of risk with other insurance enterprises or reinsurers. The Company uses pro rata, excess of loss and facultative reinsurance contracts. Reinsurance ceding commissions that represent a recovery of acquisition costs are recognized as a reduction to acquisition costs while the remaining portion is deferred. The accompanying consolidated statement of income reflects premiums and losses and loss adjustment expenses and acquisition costs, net of reinsurance ceded. See note 8, “Reinsurance” for information on the Company's reinsurance usage. Reinsurance premiums ceded and unpaid losses and loss adjustment expenses recoverable are estimated in a manner consistent with that of the original policies issued and the terms of the reinsurance contracts. If the reinsurers are unable to satisfy their obligations under the agreements, the Company’s insurance or reinsurance subsidiaries would be liable for such defaulted amounts.
Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. In certain instances, the Company obtains collateral, including letters of credit and trust accounts to further reduce the credit exposure on its reinsurance recoverables. The Company reports its reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon the Company’s ongoing review of amounts outstanding, the financial condition of its reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. Any
allowance for credit losses is charged to net realized gains (losses) in the period the recoverable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
(f) Cash
Cash includes cash equivalents, which are investments with original maturities of three months or less which are not part of the investment portfolio.
(g) Restricted Cash
Restricted cash represents amounts held for the benefit of third parties or is legally or contractually restricted as to withdrawal or usage by the Company. Such amounts are included in “Other assets” on the Company’s balance sheet.
(h) Investments
The Company currently classifies substantially all of its fixed maturity investments and short-term investments as “available for sale” and, accordingly, they are carried at estimated fair value (also known as fair value) with the changes in fair value recorded as an unrealized gain or loss component of accumulated other comprehensive income in shareholders’ equity. The fair value of fixed maturity securities and equity securities is generally determined from quotations received from nationally recognized pricing services, or when such prices are not available, by reference to broker or underwriter bid indications. Short-term investments comprise securities due to mature within one year of the date of issue. Short-term investments include certain cash equivalents which are part of investment portfolios under the management of external and internal investment managers.
The Company’s investment portfolio includes certain funds that, due to their ownership structure, are accounted for by the Company using the equity method. In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds. Changes in the carrying value of such investments are recorded in net income as “Equity in net income (loss) of investments accounted for using the equity method.” As such, fluctuations in the carrying value of the investments accounted for using the equity method may increase the volatility of the Company’s reported results of operations.
The Company’s investment portfolio includes equity securities that are accounted for at fair value. Such holdings primarily include publicly traded common stocks. Dividend income on equities is reflected in net investment income. Changes in fair value on equity securities are included in “Net realized gains (losses)” in the consolidated statement of income.
The Company elected to carry certain fixed maturity securities, equity securities, short-term investments and other investments at fair value under the fair value option afforded by accounting guidance regarding the fair value option for financial assets and liabilities. The fair value for certain of the Company’s other investments are determined using net asset values (“NAVs”) as advised by external fund managers. The NAV is based on the fund manager’s valuation of the underlying holdings in accordance with the fund’s governing documents.
Changes in fair value of investments accounted for using the fair value option are included in “Net realized gains (losses).” The primary reasons for electing the fair value option were to address simplification and cost-benefit considerations.
The Company invests in reverse repurchase agreements that are generally treated as collateralized receivables. Receivables for reverse repurchase agreements are reflected in “Other investments” or “Short-term investments” in the Company's consolidated balance sheet depending on their terms. These agreements are recorded at their contracted resale amount plus accrued interest, other than those that are accounted for at fair value. In reverse repurchase transactions, the Company obtains an interest in the purchased assets that are received as collateral.
The Company invests in limited partner interests and shares of limited liability companies. Such amounts are included in investments accounted for using the equity method and other investments. These investments can often have characteristics of a variable interest entity (“VIE”). A VIE refers to entities that have characteristics such as (i) insufficient equity at risk to allow the entity to finance its activities without additional financial support or (ii) instances where the equity investors, as a group, do not have the characteristic of a controlling financial interest. If the Company is determined to be the primary beneficiary, it is required to consolidate the VIE. The primary beneficiary is defined as the variable interest holder that is determined to have the controlling financial interest as a result of having both (i) the power to direct the activities of a VIE that most significantly impact the economic performance of the VIE and (ii) the obligation to absorb losses or right to receive benefits from the VIE that could potentially be significant to the VIE. At inception of the VIE as well as on an ongoing basis, the Company determines whether it is the primary beneficiary based on an analysis of the Company’s level of involvement in the VIE, the
contractual terms, and the overall structure of the VIE. The Company's maximum exposure to loss with respect to these investments is limited to the investment carrying amounts reported in the Company's consolidated balance sheet and any unfunded commitment.
The Company conducts a periodic review to identify and evaluate credit based impairments related to the Company’s available for sale investments. The Company derives estimated credit losses by comparing expected future cash flows to be collected to the amortized cost of the security. Estimates of expected future cash flows consider among other things, macroeconomic conditions as well as the financial condition, near-term and long-term prospects for the issuer, and the likelihood of the recoverability of principal and interest. Effective January 1, 2020, credit losses are recognized through an allowance account subject to reversal, rather than a reduction in amortized cost. Declines in value attributable to factors other than credit are reported as an unrealized loss in other comprehensive income while the allowance for credit loss is charged to net realized gains (losses) in the consolidated statement of income.
For available for sale investments that the Company intends to sell or for which it is more likely than not that the Company would be required to sell before an anticipated recovery in value, the full amount of the impairment is included in net realized gains (losses). The new cost basis of the investment is the previous amortized cost basis reduced by the impairment recognized in net realized gains (losses). The new cost basis is not adjusted for any subsequent recoveries in fair value.
The Company reports accrued investment income separately from investment balances and has elected not to measure an allowance for credit losses for accrued investment income. Any uncollectible accrued interest income is written off in the period it is deemed uncollectible.
Net investment income includes interest and dividend income together with amortization of market premiums and discounts and is net of investment management and custody fees. Anticipated prepayments and expected maturities are used in applying the interest method for certain investments such as mortgage and other asset-backed securities. When actual prepayments differ significantly from anticipated prepayments, the effective yield is recalculated to reflect actual payments to date and anticipated future payments. The net investment in such securities is adjusted to the amount that would have existed had the new effective yield been applied since the acquisition of the security. Such adjustments, if any, are included in net investment income when determined.
Investment gains or losses realized on the sale of investments, except for certain fund investments, are determined on a first-in, first-out basis and are reflected in net income. Investment gains or losses realized on the sale of certain fund investments are determined on an average cost basis. Unrealized appreciation or decline in the value of available for sale securities, which are carried at fair value, is excluded from net income and recorded as a separate component of accumulated other comprehensive income, net of applicable deferred income tax.
(i) Derivative Instruments
The Company recognizes all derivative instruments, including embedded derivative instruments, at fair value in its consolidated balance sheets. The Company employs the use of derivative instruments within its operations to mitigate risks arising from assets and liabilities held in foreign currencies as well as part of its overall investment strategy. For such instruments, changes in assets and liabilities measured at fair value are recorded as “Net realized gains (losses)” in the consolidated statements of income. In addition, the Company’s derivative instruments include amounts related to underwriting activities where an insurance or reinsurance contract meets the accounting definition of a derivative instrument. For such contracts, changes in fair value are reflected in “Other underwriting income” in the consolidated statements of income as the underlying contract originates from the Company’s underwriting operations. For the periods ended 2023, 2022, and 2021, the Company did not designate any derivative instruments as hedges under the relevant accounting guidance. See note 11, “Derivative Instruments” for additional information.
(j) Reserves for Losses and Loss Adjustment Expenses
Insurance and Reinsurance. The reserve for losses and loss adjustment expenses consists of estimates of unpaid reported losses and loss adjustment expenses and estimates for losses incurred but not reported. The reserve for unpaid reported losses and loss adjustment expenses, established by management based on reports from ceding companies and claims from insureds, excludes estimates of amounts related to losses under high deductible policies, and represents the estimated ultimate cost of events or conditions that have been reported to or specifically identified by the Company. Such reserves are supplemented by management’s estimates of reserves for losses incurred for which reports or claims have not been received. The Company’s reserves are based on a combination of reserving methods, incorporating both Company and industry loss development patterns. The Company selects the initial expected loss and loss adjustment expense ratios based on information derived by its underwriters and actuaries during the initial pricing of the business, supplemented by industry data where appropriate. Such ratios consider, among other things, rate changes and
changes in terms and conditions that have been observed in the market. These estimates are reviewed regularly and, as experience develops and new information becomes known, the reserves are adjusted as necessary. Such adjustments, if any, are reflected in income in the period in which they are determined. As actual loss information has been reported, the Company has developed its own loss experience and its reserving methods include other actuarial techniques. Over time, such techniques have been given further weight in its reserving process based on the continuing maturation of the Company’s reserves. Inherent in the estimates of ultimate losses and loss adjustment expenses are expected trends in claims severity and frequency and other factors which may vary significantly as claims are settled. Accordingly, ultimate losses and loss adjustment expenses may differ materially from the amounts recorded in the accompanying consolidated financial statements. Losses and loss adjustment expenses are recorded on an undiscounted basis, except for excess workers’ compensation and employers’ liability business written by the Company’s insurance operations.
Mortgage. The reserves for mortgage guaranty insurance losses and loss adjustment expenses are the estimated claim settlement costs on notices of delinquency that have been received by the Company, as well as loan delinquencies that have been incurred but have not been reported by the lenders. Consistent with primary mortgage insurance industry accounting practice, the Company does not establish loss reserves for future claims on insured loans that are not currently delinquent (defined as two or more payments in arrears). The Company establishes loss reserves on a case-by-case basis when insured loans are reported delinquent using estimated claim rates and average claim sizes for each cohort, net of any salvage recoverable. The Company also reserves for delinquencies that have occurred but have not yet been reported to the Company prior to the close of an accounting period. To determine this reserve, the Company estimates the number of delinquencies not yet reported using historical information regarding late reported delinquencies and applies estimated claim rates and claim sizes for the estimated delinquencies not yet reported.
The establishment of reserves across the Company’s segments is an inherently uncertain process, are necessarily based on estimates, and the ultimate net cost may vary from such estimates. The methods for making such estimates and for establishing the resulting liability are reviewed and updated using the most current information available. Any resulting adjustments, which may be material, are reflected in current operations.
(k) Contractholder Receivables and Payables and Collateral Held for Insured Obligations
Certain insurance policies written by the Company’s U.S. insurance operations feature large deductibles, primarily in its construction and national accounts line of business. Under such contracts, the Company is obligated to pay the claimant for the full amount of the claim. The Company is subsequently reimbursed by the policy holder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet as contractholder payables and contractholder receivables. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the policyholder to mitigate the Company’s credit risk. In the instances where the Company receives collateral in the form of cash, the Company reflects it in “Collateral held for insured obligations.”
Contractholder receivables are reported net of an allowance for expected credit losses. The allowance is based upon the Company’s ongoing review of amounts outstanding, changes in policyholder credit standing, amounts and form of collateral obtained, and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit losses. Any allowance for credit losses is charged to net realized gains (losses) in the period the receivable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
(l) Foreign Exchange
Assets and liabilities of foreign operations whose functional currency is not the U.S. Dollar are translated at the prevailing exchange rates at each balance sheet date. Revenues and expenses of such foreign operations are translated at average exchange rates during the year. The net effect of the translation adjustments for foreign operations is included in accumulated other comprehensive income, net of applicable deferred income tax. Monetary assets and liabilities, such as premiums receivable and the reserve for losses and loss adjustment expenses, denominated in foreign currencies are revalued at the exchange rate in effect at the balance sheet date with the resulting foreign exchange gains and losses included in net income. Accounts that are classified as non-monetary, such as deferred acquisition costs and the unearned premium reserves, are not revalued. In the case of foreign currency denominated fixed maturity securities which are classified as “available for sale,” the change in exchange rates between the local currency in which the investments are denominated and the Company’s functional currency at each balance sheet date is included in unrealized appreciation or
decline in value of securities, a component of accumulated other comprehensive income, net of applicable deferred income tax.
(m) Income Taxes
Deferred income taxes reflect the expected future tax consequences of temporary differences between the carrying amounts of assets and liabilities for financial reporting purposes and amounts used for income tax purposes. A valuation allowance is recorded if it is more likely than not that some or all of a deferred income tax asset may not be realized. The Company considers future taxable income and feasible tax planning strategies in assessing the need for a valuation allowance. In the event the Company determines that it will not be able to realize all or part of its deferred income tax assets in the future, an adjustment to the deferred income tax assets would be charged to income in the period in which such determination is made. In addition, if the Company subsequently assesses that the valuation allowance is no longer needed, a benefit would be recorded to income in the period in which such determination is made. See note 15, “Income Taxes” for additional information.
The Company recognizes a tax benefit where it concludes that it is more likely than not that the tax benefit will be sustained on audit by the taxing authority based solely on the technical merits of the associated tax position. If the recognition threshold is met, the Company recognizes a tax benefit measured at the largest amount of the tax benefit that, in the Company’s judgment, is greater than 50% likely to be realized. The Company records interest and penalties related to unrecognized tax benefits in the provision for income taxes.
On December 27, 2023 the Bermuda government enacted tax legislation referred to as the Corporate Income Tax Act 2023 (“Bermuda CIT Act”). The Bermuda CIT Act establishes a 15% corporate income tax, for in-scope businesses, for fiscal years beginning on or after January 1, 2025. The enacted legislation includes a provision referred to as the Economic Transition Adjustment, which requires Bermuda Constituent entities to establish tax basis in their assets and liabilities, excluding goodwill, based on fair value as of September 30, 2023. Fair value is defined as the price that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date. See note 15, “Income Taxes” for additional information regarding Company’s deferred income tax asset.
(n) Share-Based Payment Arrangements
The Company applies a fair value based measurement method in accounting for its share-based payment arrangements with eligible employees and directors. Compensation expense is estimated based on the fair value of the award at the grant date and is recognized in net income over the requisite service period with a corresponding increase in shareholders’ equity. No value is attributed to awards that employees forfeit because they fail to satisfy vesting conditions. The Company’s (i) time-based awards generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date and (ii) performance-based awards cliff vest after each three year performance period based on achievement of the specified performance criteria. The share-based compensation expense associated with awards that have graded vesting features and vest based on service conditions only is calculated on a straight-line basis over the requisite service period for the entire award. Compensation expense recognized in connection with performance awards is based on the achievement of the specified performance and service conditions. The final measure of compensation expense recognized over the requisite service period reflects the final performance outcome. During the recognition period compensation expense is accrued based on the performance condition that is probable of achievement. For awards granted to retirement-eligible employees where no service is required for the employee to retain the award, the grant date fair value is immediately recognized as compensation expense at the grant date because the employee is able to retain the award without continuing to provide service. For employees near retirement eligibility, attribution of compensation cost is over the period from the grant date to the retirement eligibility date. These charges had no impact on the Company’s cash flows or total shareholders’ equity. See note 22, “Share-Based Compensation” for information relating to the Company’s share-based payment awards.
(o) Guaranty Fund and Other Related Assessments
Liabilities for guaranty fund and other related assessments in the Company’s insurance and reinsurance operations are accrued when the Company receives notice that an amount is payable, or earlier if a reasonable estimate of the assessment can be made.
(p) Treasury Shares
Treasury shares are common shares purchased by the Company and not subsequently canceled. These shares are recorded at cost and result in a reduction of the Company’s shareholders’ equity in its Consolidated Balance Sheets.
(q) Goodwill and Intangible Assets
Goodwill represents the excess of the purchase price of business combination over the fair value of the net assets acquired and is assigned to the applicable reporting unit at acquisition. Goodwill is evaluated for impairment on an annual basis. Impairment tests may be performed more frequently if the facts and circumstances indicate a possible impairment. In performing impairment tests, the Company may first assess qualitative factors to determine whether it is more likely than not (that is, more than a 50% probability) that the fair value of a reporting unit exceeds its carrying amount as a basis for determining whether it is necessary to perform goodwill impairment test described in the accounting guidance.
Indefinite-lived intangible assets, such as insurance licenses are evaluated for impairment similar to goodwill. Finite-lived intangible assets and liabilities include the value of acquired insurance and reinsurance contracts, which are estimated based on the present value of future expected cash flows and amortized in proportion to the estimated profits expected to be realized. Other finite-lived intangible assets, including customer lists, trade name and IT platforms, are amortized over their useful lives. Finite-lived intangible assets and liabilities are periodically reviewed for indicators of impairment. An impairment is recognized when the carrying amount is not recoverable from its undiscounted cash flows and is measured as the difference between the carrying amount and fair value.
If goodwill or intangible assets are impaired, such assets are written down to their fair values with the related expense recorded in the Company’s results of operations.
(r) Investment in Operating Affiliates
Investment in operating affiliates primarily represent the Company’s investments in which it has significant influence and which are accounted for under the equity method of accounting. In applying the equity method of accounting, investments in operating affiliates are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of net income or loss of the operating affiliate. The Company records its proportionate share of other comprehensive income or loss of the operating affiliate as a component of other comprehensive income. Adjustments are based on the most recently available financial information from the operating affiliate. Changes in the carrying value of these investments are recorded in income (loss) from operating affiliates.
(s) Funds Held Arrangements
Funds held arrangements are agreements with a third party reinsurance company, where the reinsured retains the related assets on a funds held basis. Such amounts are included in “Other assets” on the Company’s balance sheet. Investment returns produced by those assets are recorded as part of net investment income and net realized gains (losses) in the Company's consolidated results of operations. Funds held as collateral by the Company are included in “Other liabilities” and changes to the funds held liability are reflected as part of interest expense in the Company’s consolidated results of operations.
(t) Recent Accounting Pronouncements
Recently Issued Accounting Standards Not Yet Adopted
ASU 2020-04, “Facilitation of the Effects of Reference Rate Reform on Financial Reporting,” was issued in March 2020 and amended in December 2022 with ASU 2022-06, “Reference Rate Reform (Topic 848)”. This ASU provides optional expedients and exceptions for applying GAAP to investments, derivatives, or other transactions that reference the London Interbank Offered Rate (“LIBOR”) or another reference rate expected to be discontinued because of reference rate reform. Along with the optional expedients, the amendments include a general principle that permits an entity to consider contract modifications due to reference reform to be an event that does not require contract re-measurement at the modification date or reassessment of a previous accounting determination. The amendment deferred the sunset date from December 31, 2022 to December 31, 2024. As a result, this standard can be adopted no later than December 31, 2024, with early adoption permitted. Based on its current analysis, the Company does not expect that the new guidance will have a material effect on the Company’s consolidated financial statements.
ASU 2023-07, “Segment Reporting – Improvements to Reportable Segments Disclosures,” was issued in November 2023. This ASU enhances disclosures of significant segment expenses by requiring to disclose significant segment expenses regularly provided to the chief operating decision maker (“CODM”), extend certain annual disclosures to interim periods, and permit more than one measure of segment profit or loss to be reported under certain conditions. The amendments are effective for the Company in fiscal years beginning after December 15, 2023, and interim periods within fiscal years beginning after December 15, 2024. Early adoption of the amendment is permitted, including adoption in any interim periods for which financial statements have not been issued. Based on its current analysis, the Company does not expect that the new guidance will have a material effect on the Company’s consolidated financial statements.
ASU 2023-09, “Improvements to Income Tax Disclosures,” was issued in December 2023 with the stated purpose of enhancing the transparency and decision usefulness of income tax disclosures. The amendments in ASU 2023-09 address investor requests for enhanced income tax information primarily through changes to the rate reconciliation and income taxes paid information. While early adoption is permitted, a public entity should apply the amendments in ASU 2023-09 prospectively to all annual periods beginning after December 15, 2024. The Company is currently evaluating the impact of this standard on the Company’s consolidated financial statements and related disclosures.
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Segment Information
12 Months Ended
Dec. 31, 2023
Segment Reporting [Abstract]  
Segment Information
The Company classifies its businesses into three underwriting segments – insurance, reinsurance and mortgage – and two operating segments – corporate and ‘other.’ The Company determined its reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of the Company’s consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.
The Company’s insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to the Company’s chief operating decision makers, the Chief Executive Officer of Arch Capital, Chief Financial Officer and Treasurer of Arch Capital and the President and Chief Underwriting Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for its three underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income is not allocated to each underwriting segment.
The insurance segment consists of the Company’s insurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:
•    Construction and national accounts: primary and excess casualty coverages for middle market and large construction accounts, a comprehensive range of products for middle market accounts in specialty industries and casualty solutions for large national accounts, including loss sensitive primary insurance programs (large deductible, self-insured retention and retrospectively rated programs).
•    Excess and surplus casualty: primary and excess casualty insurance coverages written primarily on a non-admitted basis.
•    Professional lines: directors’ and officers’ liability, errors and omissions liability, employment practices liability, fiduciary liability, crime, professional indemnity and other financial related coverages for corporate, private equity, venture capital, real estate investment trust, limited partnership, financial institution and not-for-profit clients of all sizes, cyber insurance, and medical professional and general liability insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis.
•    Programs: primarily targeting program managers with unique expertise and niche products offering some combination of general liability, commercial automobile, property, inland marine, umbrella and workers’ compensation.
•    Property, energy, marine and aviation: primary and excess general property insurance coverages, including catastrophe-exposed property coverage, for commercial clients. Coverages for marine include hull, cargo, war, specie and liability. Aviation, stand-alone terrorism and political risks are also offered. Coverage may be provided for operational and construction risk.
•    Travel, accident and health: specialty travel and accident and related insurance products for individual, group travelers, travel agents and suppliers, as well as accident and health, which provides accident, disability and medical plan insurance coverages for employer groups, medical plan members, students and other participant groups.
•    Warranty and lenders solutions: collateral protection, debt cancellation and service contract reimbursement products to banks, credit unions, automotive dealerships and original equipment manufacturers and other specialty programs that pertain to automotive lending and leasing.
•    Other: includes alternative market risks (including captive insurance programs), excess workers’ compensation and employer’s liability insurance coverages for qualified self-insured groups, associations and trusts, and contract, commercial and transactional surety coverages.
The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Reinsurance agreements are typically offered on a proportional and/or excess of loss basis and provide coverage to ceding company clients for specific underlying written policies. Product lines include:
Casualty: provides coverage on third party liability exposures including, among others, executive assurance, professional liability, excess and umbrella liability, excess motor and healthcare business, and workers’ compensation. Business is assumed primarily on a treaty basis, with some facultative coverages also offered.
Marine and aviation: provides coverage for energy, hull, cargo, specie, liability and transit, and aviation business, including airline and general aviation risks. Business written may also include space business, which includes coverages for satellite assembly, launch and operation for commercial space programs.
Other specialty: provides coverage for proportional motor reinsurance, whole account multi-line treaties, cyber, trade credit and surety, accident and health, workers’ compensation catastrophe, agriculture and political risk, among others.
Property catastrophe: provides protection for most types of catastrophic losses, including hurricane, earthquake, flood, tornado, hail and fire, and for other perils on a case-by-case basis. Excess of loss coverages are triggered when aggregate losses and loss adjustment expense from a single occurrence or aggregation of losses from a covered peril exceed the retention specified in the contract.
Property excluding property catastrophe: provides coverage for personal lines and/or commercial property exposures and principally covers buildings, structures, equipment and contents. The primary perils in this business include fire, explosion, collapse, riot, vandalism, wind, tornado, flood and earthquake. Business is assumed on either a treaty basis or facultative basis.
Other: primarily includes life reinsurance business.
The mortgage segment includes the Company’s underwriting units which offer mortgage insurance and reinsurance products on a worldwide basis. Underwriting units include:
U.S. primary mortgage insurance: offers private mortgage insurance through Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (combined “Arch MI U.S.”), both approved eligible mortgage insurers by Fannie Mae and Freddie Mac. Arch MI U.S. also includes AMG, which is not a government sponsored enterprise (“GSE”) approved entity.
U.S. credit risk transfer (“CRT”) and other: underwrites CRT transactions, which are predominantly with GSEs, and other U.S. reinsurance transactions.
International mortgage insurance/reinsurance: underwrites mortgage insurance and reinsurance outside of the U.S.
The corporate segment results include net investment income, net realized gains or losses (which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments and changes in the allowance for credit losses on financial assets), equity in net income or loss of investment funds accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes items, income or loss from operating affiliates and items related to the Company’s non cumulative preferred shares.
Through June 30, 2021, the ‘other’ segment included the results of Somers. In July 2021, the Company announced the completion of the previously disclosed acquisition of Somers by Greysbridge. Based on the governing documents of Greysbridge, the Company has concluded that, while it retains significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, Arch no longer consolidates the results of Somers in its consolidated financial statements. See note 12, “Variable Interest Entity and Noncontrolling Interests.”
The following tables summarize the Company’s underwriting income or loss by segment, together with a reconciliation of underwriting income or loss to net income available to Arch common shareholders, summary information regarding net premiums written and earned by major line of business and net premiums written by location:
Year Ended December 31, 2023
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$7,911 $9,113 $1,387 $18,403 $— $18,403 
Premiums ceded (1)(2,049)(2,559)(335)(4,935)— (4,935)
Net premiums written5,862 6,554 1,052 13,468 — 13,468 
Change in unearned premiums(416)(718)106 (1,028)— (1,028)
Net premiums earned5,446 5,836 1,158 12,440 — 12,440 
Other underwriting income— 17 14 31 — 31 
Losses and loss adjustment expenses(3,122)(3,227)103 (6,246)— (6,246)
Acquisition expenses(1,055)(1,240)(17)(2,312)— (2,312)
Other operating expenses(819)(288)(194)(1,301)— (1,301)
Underwriting income$450 $1,098 $1,064 2,612 — 2,612 
Net investment income1,023 — 1,023 
Net realized gains (losses)(165)— (165)
Equity in net income (loss) of investments accounted for using the equity method278 — 278 
Other income (loss)27 — 27 
Corporate expenses (96)— (96)
Transaction costs and other(6)— (6)
Amortization of intangible assets(95)— (95)
Interest expense(133)— (133)
Net foreign exchange gains (losses)(60)— (60)
Income (loss) before income taxes and income (loss) from operating affiliates3,385 — 3,385 
Income tax (expense) benefit873 — 873 
Income (loss) from operating affiliates184 — 184 
Net income (loss)4,442 — 4,442 
Amounts attributable to redeemable noncontrolling interests— 
Net income (loss) available to Arch4,443 — 4,443 
Preferred dividends(40)— (40)
Net income (loss) available to Arch common shareholders$4,403 $— $4,403 
Underwriting Ratios
Loss ratio57.3 %55.3 %-8.9 %50.2 %— %50.2 %
Acquisition expense ratio19.4 %21.2 %1.4 %18.6 %— %18.6 %
Other operating expense ratio15.0 %4.9 %16.8 %10.5 %— %10.5 %
Combined ratio91.7 %81.4 %9.3 %79.3 %— %79.3 %
Goodwill and intangible assets$224 $130 $377 $731 $— $731 
Total investable assets$34,589 $— $34,589 
Total assets58,906 — 58,906 
Total liabilities40,551 — 40,551 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
Year Ended December 31, 2022
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$6,931 $6,948 $1,455 $15,327 $— $15,327 
Premiums ceded (1)(1,910)(2,024)(322)(4,249)— (4,249)
Net premiums written5,021 4,924 1,133 11,078 — 11,078 
Change in unearned premiums(461)(965)27 (1,399)— (1,399)
Net premiums earned4,560 3,959 1,160 9,679 — 9,679 
Other underwriting income— 13 — 13 
Losses and loss adjustment expenses(2,784)(2,568)324 (5,028)— (5,028)
Acquisition expenses, net(887)(813)(40)(1,740)— (1,740)
Other operating expenses(665)(268)(195)(1,128)— (1,128)
Underwriting income (loss)$224 $315 $1,257 1,796 — 1,796 
Net investment income496 — 496 
Net realized gains (losses)(663)— (663)
Equity in net income (loss) of investments accounted for using the equity method115 — 115 
Other income (loss)(27)— (27)
Corporate expenses(95)— (95)
Transaction costs and other— — — 
Amortization of intangible assets(106)— (106)
Interest expense(131)— (131)
Net foreign exchange gains (losses)102 — 102 
Income (loss) before income taxes and income (loss) from operating affiliates1,487 — 1,487 
Income tax (expense) benefit(80)— (80)
Income (loss) from operating affiliates75 — 75 
Net income (loss)1,482 — 1,482 
Amounts attributable to redeemable noncontrolling interests(6)— (6)
Net income (loss) available to Arch1,476 — 1,476 
Preferred dividends(40)— (40)
Net income (loss) available to Arch common shareholders$1,436 $— $1,436 
Underwriting Ratios
Loss ratio61.0 %64.9 %-28.0 %51.9 %— %51.9 %
Acquisition expense ratio19.4 %20.5 %3.5 %18.0 %— %18.0 %
Other operating expense ratio14.6 %6.8 %16.8 %11.7 %— %11.7 %
Combined ratio95.0 %92.2 %-7.7 %81.6 %— %81.6 %
Goodwill and intangible assets$229 $145 $430 $804 $— $804 
Total investable assets$28,065 $— $28,065 
Total assets47,990 — 47,990 
Total liabilities35,069 — 35,069 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
Year Ended December 31, 2021
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$5,868 $5,094 $1,508 $12,463 $458 $12,752 
Premiums ceded (1)(1,719)(1,840)(247)(3,799)(105)(3,735)
Net premiums written4,149 3,254 1,261 8,664 353 9,017 
Change in unearned premiums(524)(413)22 (915)(20)(935)
Net premiums earned3,625 2,841 1,283 7,749 333 8,082 
Other underwriting income— 18 21 — 21 
Losses and loss adjustment expenses(2,345)(1,925)(57)(4,327)(258)(4,585)
Acquisition expenses, net(606)(537)(97)(1,240)(63)(1,303)
Other operating expenses(559)(214)(193)(966)(33)(999)
Underwriting income (loss)$115 $168 $954 1,237 (21)1,216 
Net investment income347 42 389 
Net realized gains (losses)299 81 380 
Equity in net income (loss) of investments accounted for using the equity method366 — 366 
Other income (loss)10 — 10 
Corporate expenses(76)— (76)
Transaction costs and other(1)(1)(2)
Amortization of intangible assets(81)(1)(82)
Interest expense(131)(8)(139)
Net foreign exchange gains (losses)42 (1)41 
Income (loss) before income taxes and income (loss) from operating affiliates2,012 91 2,103 
Income tax (expense) benefit(128)— (128)
Income (loss) from operating affiliates264 — 264 
Net income2,148 91 2,239 
Amounts attributable to redeemable noncontrolling interests(2)(2)(4)
Amounts attributable to nonredeemable noncontrolling interests— (78)(78)
Net income (loss) available to Arch2,148 2,157 
Preferred dividends(48)— (48)
Loss on redemption of preferred shares(15)— (15)
Net income (loss) available to Arch common shareholders$2,085 $$2,094 
Underwriting Ratios
Loss ratio64.6 %67.8 %4.4 %55.8 %78.0 %56.7 %
Acquisition expense ratio16.7 %18.9 %7.6 %16.0 %18.9 %16.1 %
Other operating expense ratio15.4 %7.5 %15.1 %12.5 %9.9 %12.4 %
Combined ratio96.7 %94.2 %27.1 %84.3 %106.8 %85.2 %
Goodwill and intangible assets$256 $184 $505 $945 $— $945 
Total investable assets$27,442 $— $27,442 
Total assets45,101 — 45,101 
Total liabilities31,546 — 31,546 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
The following tables provide summary information regarding net premiums earned by major line of business and net premiums written by underwriting location:
INSURANCE SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Professional lines$1,419 $1,314 $943 
Property, energy, marine and aviation1,064772668
Programs658590507
Construction and national accounts561432417
Travel, accident and health557492256
Excess and surplus casualty486393318
Warranty and lenders solutions185128153
Other 516439363
Total$5,446 $4,560 $3,625 
Net premiums written by underwriting location (1)
United States$3,780 $3,342 $2,812 
Europe1,7741,4051,126
Other308 274 211 
Total$5,862 $5,021 $4,149 
REINSURANCE SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Other specialty$2,097 $1,378 $819 
Property excluding property catastrophe1,6451,090838
Casualty1,005855667
Property catastrophe742367280
Marine and aviation229159153
Other11811084
Total$5,836 $3,959 $2,841 
Net premiums written by underwriting location (1)
United States$1,756 $1,247 $829 
Bermuda3,2882,5611,555 
Europe and other1,5101,116870 
Total$6,554 $4,924 $3,254 
MORTGAGE SEGMENTYear Ended December 31,
202320222021
Net premiums earned
U.S. primary mortgage insurance$759 $804 $953 
U.S. credit risk transfer (CRT) and other220196181
International mortgage insurance/reinsurance179160149
Total$1,158 $1,160 $1,283 
Net premiums written by underwriting location
United States$743 $781 $913 
Other309 352 348 
Total$1,052 $1,133 $1,261 

(1)    Segment results include intersegment transactions.
OTHER SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Casualty $— $— $138 
Other specialty— — 118 
Property catastrophe— — 15 
Property excluding property catastrophe— — 
Marine and aviation— — — 
Other — — 55 
Total$— $— $333 
Net premiums written by underwriting location (1)
United States$— $— $63 
Europe— — 91 
Bermuda— — 199 
Total$— $— $353 
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Reserve for Losses and Loss Adjustment Expenses
12 Months Ended
Dec. 31, 2023
Liability for Future Policy Benefits and Unpaid Claims and Claims Adjustment Expense [Abstract]  
Reserve for losses and loss adjustment expenses
The following table represents an analysis of losses and loss adjustment expenses and a reconciliation of the beginning and ending reserve for losses and loss adjustment expenses:
Year Ended December 31,
202320222021
Reserve for losses and loss adjustment expenses at beginning of year$20,032 $17,757 $16,514 
Unpaid losses and loss adjustment expenses recoverable6,280 5,599 4,315 
Net reserve for losses and loss adjustment expenses at beginning of year13,752 12,158 12,199 
Net incurred losses and loss adjustment expenses relating to losses occurring in:
Current year6,784 5,797 4,940 
Prior years(538)(769)(355)
Total net incurred losses and loss adjustment expenses6,246 5,028 4,585 
Net losses and loss adjustment expense reserves of acquired business (1)— — 104 
Retroactive reinsurance transactions (2)— — (444)
Impact of deconsolidation of Somers (3)— — (1,461)
Foreign exchange (gains) losses and other157 (293)
Net paid losses and loss adjustment expenses relating to losses occurring in:
Current year(1,081)(888)(734)
Prior years(3,012)(2,253)(2,093)
Total net paid losses and loss adjustment expenses(4,093)(3,141)(2,827)
Net reserve for losses and loss adjustment expenses at end of year16,062 13,752 12,158 
Unpaid losses and loss adjustment expenses recoverable6,690 6,280 5,599 
Reserve for losses and loss adjustment expenses at end of year$22,752 $20,032 $17,757 
(1)    Represents activity related to the Company’s acquisitions in the 2021 period. See note 2, “Acquisitions.”
(2)    See ‘Retroactive Reinsurance Transactions’ section.
Development on Prior Year Loss Reserves
Year Ended December 31, 2023
During 2023, the Company recorded estimated net favorable development on prior year loss reserves of $538 million, which consisted of net favorable development of $42 million from the insurance segment, $152 million from the reinsurance segment and $344 million from the mortgage segment.
The insurance segment’s net favorable development of $42 million, or 0.8 points of net earned premium, consisted of $107 million of net favorable development in short and long-tailed lines partially offset by $65 million of net adverse development from medium-tailed lines. Net favorable development in short-tailed lines reflected $32 million of favorable development in property (excluding marine), primarily from the 2022 accident year (i.e., the year in which a loss occurred), $22 million of favorable development related to warranty and lenders solutions business, primarily
from the 2022 accident year, and $15 million of favorable development related to travel and accident business, primarily from the 2020 and 2022 accident years. Net favorable development in long-tailed lines included $28 million of favorable development in executive assurance business, primarily from the 2019 and 2021 accident years, and $17 million of favorable development in alternative markets business, primarily from the 2021 and prior accident years. Such amounts were partially offset by $6 million of net adverse development in construction and national accounts, primarily from the 2020 to 2022 accident years. Net adverse development in medium-tailed lines reflected $50 million of adverse development in professional liability business, primarily from the 2017 to 2020 accident years, and $21 million of adverse development in contract binding business, primarily from 2020 and prior accident years, partially offset by $12 million of favorable development in marine business, primarily from the 2020 and 2021 accident years.
The reinsurance segment’s net favorable development of $152 million, or 2.6 points of net earned premium, consisted of $202 million of net favorable development from short and medium-tailed lines, partially offset by $50 million of net adverse development from long-tailed lines. Net favorable development in short-tailed lines reflected $93 million of favorable development from property other than property catastrophe business, primarily from the 2020 to 2022 underwriting years (i.e., all premiums and losses attributable to contracts having an inception or renewal date within the given twelve-month period), $51 million of favorable development from property catastrophe business, primarily from the 2019 to 2022 underwriting years, $35 million from other specialty business, primarily from the 2021 underwriting year, and $13 million of favorable development from other lines of business, primarily from the 2020 underwriting year. Net favorable development in medium-tailed lines reflected $9 million from marine and aviation business, primarily from 2021 and prior underwriting years. Net adverse development in long-tailed lines primarily reflected $46 million from casualty business, primarily from the 2013 to 2020 underwriting years.
The mortgage segment net favorable development was $344 million, or 29.7 points, for the 2023 period, with the largest contributor being reserve releases associated with the U.S. first lien portfolio from the 2020 to 2022 accident years. The Company’s credit risk transfer and international businesses also contributed to the favorable development.
Year Ended December 31, 2022
During 2022, the Company recorded estimated net favorable development on prior year loss reserves of $769 million, which consisted of net favorable development of $25 million from the insurance segment, $190 million from the reinsurance segment and $554 million from the mortgage segment.
The insurance segment’s net favorable development of $25 million, or 0.6 points of net earned premium, consisted of $55 million of net favorable development in short-tailed lines partially offset by $30 million of net adverse development from medium-tailed and long-tailed lines. Net favorable development in short-tailed lines reflected $37 million of favorable development in warranty and lenders solutions, primarily from the 2021 accident year, and $15 million of favorable development related to travel and accident business, primarily from the 2020 and 2021 accident years. Net adverse development in medium-tailed lines reflected $25 million of adverse development in professional liability business, primarily from the 2013 to 2015 and 2018 to 2020 accident years, and $6 million of adverse development in contract binding business, across most accident years, partially offset by $13 million of favorable development in marine business, across most accident years.
Net adverse development in long-tail lines reflected $19 million of adverse development related to casualty business, primarily from the 2020 and 2021 accident years, and $7 million of adverse development on construction and national accounts, primarily from the 2017, 2020 and 2021 accident years. This is partially offset by $22 million of favorable development in other business, including alternative markets and excess workers’ compensation, primarily from the 2019 and prior accident years.
The reinsurance segment’s net favorable development of $190 million, or 4.8 points of net earned premium, consisted of $196 million of net favorable development from short-tailed and medium-tailed lines, partially offset by $5 million of net adverse development from long-tailed lines. Net favorable development in short-tailed lines reflected $109 million of favorable development from property other than property catastrophe business, primarily from the 2018 to 2021 underwriting years, $24 million of favorable development from property catastrophe business, primarily from the 2018 to 2020 underwriting years, and $35 million from other specialty business, primarily from the 2016 and 2021 underwriting years. Net favorable development in medium-tailed lines reflected $28 million in marine and aviation lines, across most underwriting years. Net adverse development in long-tailed lines primarily reflected $5 million in casualty, spread across many prior underwriting years.
The mortgage segment experienced net favorable development of $554 million, or 47.8 points of net earned premium, with the majority of reserve releases being on COVID-related delinquencies associated with the U.S. first lien portfolio from the 2020 and 2021 accident years. The Company’s credit risk transfer, international, second lien and student loan businesses also contributed to the favorable development.
Year Ended December 31, 2021
During 2021, the Company recorded estimated net favorable development on prior year loss reserves of $355 million, which consisted of net favorable development of $16 million from the insurance segment, $179 million from the reinsurance segment, $170 million from the mortgage segment, partially offset by $8 million of adverse development from the ‘other’ segment (activity prior to the deconsolidation of Somers).
The insurance segment’s net favorable development of $16 million, or 0.4 points of net earned premium, consisted of $110 million of net favorable development in short-tailed and long-tailed lines mostly offset by $94 million of net adverse development from medium-tailed lines. Net favorable development of $82 million in short-tailed lines reflected $39 million of favorable development from property
(excluding marine), primarily from the 2018 to 2020 accident years, $27 million of favorable development in warranty and lenders solutions, primarily from the 2020 accident year, and $16 million of favorable development on travel and accident, primarily from the 2016 to 2020 accident years. Net favorable development of $28 million in long-tailed lines reflected favorable development in construction, national accounts and alternative markets, primarily from the 2016 to 2019 accident years, partially offset by adverse development in executive assurance, primarily from the 2015, 2017 and 2018 accident years. Net adverse development in medium-tailed lines reflected $58 million of adverse development in contract binding, primarily from the 2013 to 2019 accident years and $31 million of adverse development in professional liability, primarily from the 2018 to 2020 accident years.
The reinsurance segment’s net favorable development of $179 million, or 6.3 points of net earned premium, consisted of $184 million of net favorable development from short-tailed and medium-tailed lines, partially offset by $5 million of net adverse development from long-tailed lines. Net favorable development of $176 million in short-tailed lines reflected $123 million from other specialty lines, primarily from the 2014 to 2019 underwriting years, and $89 million of favorable development from property other than property catastrophe business, primarily from the 2015 to 2020 underwriting years. Such amounts were partially offset by adverse development of $36 million from property catastrophe, primarily from the 2020 underwriting year. Adverse development in long-tailed lines reflected an increase in casualty, primarily from the 2018 underwriting year.
The mortgage segment experienced net favorable development of $170 million, or 13.2 points of net earned premium. Approximately a third of this development came from the U.S. first lien portfolio, which benefited from improving economic conditions and rising home prices, resulting in reduced claim rate assumptions primarily associated with pre-pandemic delinquencies. Various vintage CRT contracts also experienced similar effects and contributed to the favorable development, including the effect of contracts called by the GSEs. Subrogation recoveries on second lien and student loan business and international business also contributed to the favorable development.
Retroactive Reinsurance Transactions
In 2021, the Company entered into a retroactive reinsurance transaction with third party reinsurer to reinsure run-off liabilities associated with certain U.S. insurance exposures.
In 2021, the Company entered into a reinsurance to close with the related party, in connection with the 2018 and prior years of account for certain London syndicate business. See note 16, “Transactions with Related Parties”.
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Short Duration Contracts
12 Months Ended
Dec. 31, 2023
Short Duration Contracts Disclosure [Abstract]  
Short duration contracts
The Company’s reserves for losses and loss adjustment expenses primarily relate to short-duration contracts with various characteristics (e.g., type of coverage, geography, claims duration). The Company considered such information in determining the level of disaggregation for disclosures related to its short-duration contracts, as detailed in the table below:
Reportable segmentLevel of disaggregationIncluded lines of business
InsuranceProperty energy, marine and aviationProperty energy, marine and aviation
Third party occurrence business
Excess and surplus casualty (excluding contract binding); construction and national accounts; and other (including alternative market risks, excess workers’ compensation and employer’s liability insurance coverages)
Third party claims-made businessProfessional lines
Multi-line and other specialty
Programs; contract binding (part of excess and surplus casualty); travel, accident and health; warranty and lenders solutions; and other (contract and commercial surety coverages)
ReinsuranceCasualtyCasualty
Property catastropheProperty catastrophe
Property excluding property catastropheProperty excluding property catastrophe
Marine and aviationMarine and aviation
Other specialtyOther specialty
MortgageDirect mortgage insurance in the U.S.Mortgage insurance on U.S. primary exposures
The Company determined the following to be insignificant for disclosure purposes: (i) certain mortgage business, including non-U.S. primary business, second lien and student loan exposures, global mortgage reinsurance and participation in various GSE credit risk-sharing products and (ii) certain reinsurance business, including casualty clash and non-traditional lines. Such amounts are included as reconciling items.
The Company is required to establish reserves for losses and loss adjustment expenses (“Loss Reserves”) that arise from the business the Company underwrites. Loss Reserves for the insurance, reinsurance and mortgage segments represent estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial.
Insurance Segment
Loss Reserves for the insurance segment are comprised of estimated amounts for (1) reported losses (“case reserves”) and (2) incurred but not reported losses (“IBNR reserves”). Generally, claims personnel determine whether to establish a case reserve for the estimated amount of the ultimate settlement of individual claims. The estimate reflects the judgment of claims personnel based on general corporate reserving practices, the experience and knowledge of such personnel regarding the nature and value of the specific type of claim and, where appropriate, advice of counsel. The Company also contracts with a number of outside third party administrators in the claims process who, in certain cases, have limited authority to establish case reserves. The work of such administrators is reviewed and monitored by our claims personnel. Loss Reserves are also established to provide for loss adjustment expenses and represent the estimated expense of settling claims, including legal and other fees and the general expenses of administering the claims adjustment process. Periodically, adjustments to the case reserves may be made as additional information is reported or payments are made. IBNR reserves are established to provide for incurred claims which have not yet been reported at the balance sheet date as well as to adjust for any projected variance in case reserving. Actuaries estimate ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Like case reserves, IBNR reserves are adjusted as additional information becomes known or payments are made. The process of estimating reserves involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain.
Ultimate losses and loss adjustment expenses are generally determined by projection of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future. In forecasting ultimate losses and loss adjustment expenses with respect to any line of business, past experience with respect to that line of business is the primary resource, developed through both industry and company experience, but cannot be relied upon in isolation. Uncertainties in estimating ultimate losses and loss adjustment expenses are magnified by the length of the time lag between when a claim actually occurs and when it is reported and settled. This time lag is sometimes referred to as the “claim-tail.” During this period additional facts regarding coverages written in prior accident years, as well as about actual claims and trends, may become known and, as a result, may lead to adjustments of the related Loss Reserves. If the Company determines that an adjustment is appropriate, the adjustment is recorded in the accounting period in which such determination is made. Accordingly, should Loss Reserves need to be increased or decreased in the future from amounts currently established, future results of operations would be negatively or positively impacted respectively. The
Company authorizes managing general agents, general agents and other producers to write program business on the Company’s behalf within prescribed underwriting authorities. This delegated authority process introduces additional complexity to the actuarial determination of unpaid future losses and loss adjustment expenses. In order to monitor adherence to the underwriting guidelines given to such parties, the Company periodically performs underwriting and claims due diligence reviews.
In determining ultimate losses and loss adjustment expenses, the cost to indemnify claimants, provide needed legal defense and other services for insureds and administer the investigation and adjustment of claims are considered. These claim costs are influenced by many factors that change over time, such as expanded coverage definitions as a result of new court decisions, inflation in costs to repair or replace damaged property, inflation in the cost of medical services and legislated changes in statutory benefits, as well as by the particular, unique facts that pertain to each claim. As a result, the rate at which claims arose in the past and the costs to settle them may not always be representative of what will occur in the future. The factors influencing changes in claim costs are often difficult to isolate or quantify and developments in paid and incurred losses from historical trends are frequently subject to multiple and conflicting interpretations. Changes in coverage terms or claims handling practices may also cause future experience and/or development patterns to vary from the past. A key objective of actuaries in developing estimates of ultimate losses and loss adjustment expenses, and resulting IBNR reserves, is to identify aberrations and systemic changes occurring within historical experience and adjust for them so that the future can be projected more reliably. Because of the factors previously discussed, this process requires the substantial use of informed judgment and is inherently uncertain.
Although Loss Reserves are initially determined based on underwriting and pricing analyses, the Company’s insurance segment applies several generally accepted actuarial methods, as discussed below, on a quarterly basis to evaluate the Loss Reserves, in addition to the expected loss method, in particular for Loss Reserves from more mature accident years (the year in which a loss occurred). Each quarter, as part of the reserving process, the segments’ actuaries reaffirm that the assumptions used in the reserving process continue to form a sound basis for the projection of liabilities. If actual loss activity differs substantially from expectations based on historical information, an adjustment to Loss Reserves may be supported. The Company places more or less reliance on a particular actuarial method based on the facts and circumstances at the time the estimates of Loss Reserves are made.
These methods generally fall into one of the following categories or are hybrids of one or more of the following categories:
Expected loss methods - these methods are based on the assumption that ultimate losses vary proportionately with premiums. Expected loss and loss adjustment expense ratios are typically developed based upon the information derived by underwriters and actuaries during the initial pricing of the business, supplemented by industry data available from organizations, such as statistical bureaus and consulting firms, where appropriate. These ratios consider, among other things, rate increases and changes in terms and conditions that have been observed in the market. Expected loss methods are useful for estimating ultimate losses and loss adjustment expenses in the early years of long-tailed lines of business, when little or no paid or incurred loss information is available, and is commonly applied when limited loss experience exists for a company.
Historical incurred loss development methods - these methods assume that the ratio of losses in one period to losses in an earlier period will remain constant in the future. These methods use incurred losses (i.e., the sum of cumulative historical loss payments plus outstanding case reserves) over discrete periods of time to estimate future losses. Historical incurred loss development methods may be preferable to historical paid loss development methods because they explicitly take into account open cases and the claims adjusters’ evaluations of the cost to settle all known claims. However, historical incurred loss development methods necessarily assume that case reserving practices are consistently applied over time. Therefore, when there have been significant changes in how case reserves are established, using incurred loss data to project ultimate losses may be less reliable than other methods.
Historical paid loss development methods - these methods, like historical incurred loss development methods, assume that the ratio of losses in one period to losses in an earlier period will remain constant. These methods use historical loss payments over discrete periods of time to estimate future losses and necessarily assume that factors that have affected paid losses in the past, such as inflation or the effects of litigation, will remain constant in the future. Because historical paid loss development methods do not use incurred losses to estimate ultimate losses, they may be more reliable than the other methods that use incurred losses in situations where there are significant changes in how incurred losses are established by a company’s claims adjusters. However, historical paid loss development methods are more leveraged (meaning that small changes in payments have a larger impact on estimates of ultimate losses) than
actuarial methods that use incurred losses because cumulative loss payments take much longer to equal the expected ultimate losses than cumulative incurred amounts. In addition, and for similar reasons, historical paid loss development methods are often slow to react to situations when new or different factors arise than those that have affected paid losses in the past.
Adjusted historical paid and incurred loss development methods - these methods take traditional historical paid and incurred loss development methods and adjust them for the estimated impact of changes from the past in factors such as inflation, the speed of claim payments or the adequacy of case reserves. Adjusted historical paid and incurred loss development methods are often more reliable methods of predicting ultimate losses in periods of significant change, provided the actuaries can develop methods to reasonably quantify the impact of changes. As such, these methods utilize more judgment than historical paid and incurred loss development methods.
Bornhuetter-Ferguson (“B-F”) paid and incurred loss methods - these methods utilize actual paid and incurred losses and expected patterns of paid and incurred losses, taking the initial expected ultimate losses into account to determine an estimate of expected ultimate losses. The B-F paid and incurred loss methods are useful when there are few reported claims and a relatively less stable pattern of reported losses.
Frequency-Severity methods - These methods utilize actual paid and incurred claim experience, but break the data down into its component pieces: claim counts, often expressed as a ratio to exposure or premium (frequency), and average claim size (severity). The component pieces are projected to an ultimate level and multiplied together to result in an estimate of ultimate loss. These methods are especially useful when the severity of claims can be confined to a relatively stable range of estimated ultimate average claim value.
Additional analyses - other methodologies are often used in the reserving process for specific types of claims or events, such as catastrophic or other specific major events. These include vendor catastrophe models, which are typically used in the estimation of Loss Reserves at the early stage of known catastrophic events before information has been reported to an insurer or reinsurer.
In the initial reserving process for short-tail insurance lines (consisting of property, energy, marine and aviation and other exposures including travel, accident and health, and warranty and lenders solutions), the Company relies on a combination of the reserving methods discussed above. For catastrophe-exposed business, the reserving process also includes the usage of catastrophe models for known events
and a heavy reliance on analysis of individual catastrophic events and management judgment. The development of losses on short-tail business can be unstable, especially for policies characterized by high severity, low frequency losses. As time passes, for a given accident year, additional weight is given to the paid and incurred B-F loss development methods and eventually to the historical paid and incurred loss development methods in the reserving process. The Company makes a number of key assumptions in their reserving process, including that historical paid and reported development patterns are stable, catastrophe models provide useful information about our exposure to catastrophic events that have occurred and underwriters’ judgment as to potential loss exposures can be relied on. The expected loss ratios used in the initial reserving process for short-tail business have varied over time due to changes in pricing, reinsurance structure, estimates of catastrophe losses, policy changes (such as attachment points, class and limits) and geographical distribution. As losses in short-tail lines are reported relatively quickly, expected loss ratios are selected for the current accident year based upon actual attritional loss ratios for earlier accident years, adjusted for rate changes, inflation, changes in reinsurance programs and expected attritional losses based on modeling. Furthermore, ultimate losses for short-tail business are known in a reasonably short period of time.
In the initial reserving process for medium-tail and long-tail insurance lines (consisting of third party occurrence business, third party claims made business, and other exposures including surety, programs and contract binding exposures), the Company primarily relies on the expected loss method. The development of the Company’s medium-tail and long-tail business may be unstable, especially if there are high severity major events, as a portion of the Company’s casualty business is in high excess layers. As time passes, for a given accident year, additional weight is given to the paid and incurred B-F loss development methods and historical paid and incurred loss development methods in the reserving process. The Company makes a number of key assumptions
in reserving for medium-tail and long-tail lines, including that the pricing loss ratio is the best estimate of the ultimate loss ratio at the time the policy is entered into, that the loss development patterns, which are based on a combination of company and industry loss development patterns and adjusted to reflect differences in the insurance segment’s mix of business, are reasonable and that claims personnel and underwriters analyses of our exposure to major events are assumed to be the best estimate of exposure to the known claims on those events. The expected loss ratios used in the initial reserving process for medium-tail and long-tail business for recent accident years have varied over time, in some cases significantly, from earlier accident years. As the credibility of historical experience for earlier accident years increases, the experience from these accident years will be given a greater weighting in the actuarial analysis to determine future accident year expected loss ratios, adjusted for changes in pricing, loss trends, terms and conditions and reinsurance structure.
From time to time, the Company enters into loss portfolio transfer and adverse development cover reinsurance agreements accounted for as retroactive reinsurance. These agreements transfer Loss Reserves and future favorable or adverse development on certain runoff programs and certain third party occurrence business, within multi-line and other specialty business (the “Covered Lines”). As incurred losses and allocated loss adjustment expenses for the Covered Lines are ceded to the reinsurer, the Company is not exposed to changes in the amount, timing and uncertainty of cash flows arising from the Covered Lines. To avoid distortion, the incurred losses and allocated loss adjustment expenses and cumulative paid losses and loss adjustment expenses for the Covered Lines are excluded entirely from the tables below. Unpaid loss and loss adjustment expenses recoverable at December 31, 2023 included $225 million related to such reinsurance agreements.

The following tables present information on the insurance segment’s short-duration insurance contracts:
Property, energy, marine and aviation (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$148 $146 $147 $136 $132 $134 $135 $135 $134 $133 $3,871 
2015112 110 104 102 98 92 92 91 89 4,530 
2016104 101 105 100 96 92 88 88 — 6,171 
2017281 246 236 230 231 225 225 6,475 
2018181 186 174 170 170 172 5,077 
2019179 179 165 161 159 (1)7,018 
2020359 329 336 333 8,212 
2021427 429 423 41 8,807 
2022522 495 74 13,274 
2023571 275 13,682 
Total$2,688 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$26 $54 $78 $84 $88 $98 $115 $122 $123 $125 
201524 65 76 86 88 86 87 88 86 
201625 83 98 97 95 91 87 87 
201730 140 196 212 216 218 220 
201830 102 135 143 150 154 
201926 105 134 139 148 
202056 194 251 293 
202190 268 343 
2022100 276 
2023146 
Total1,878 
All outstanding liabilities before 2014, net of reinsurance14 
Liabilities for losses and loss adjustment expenses, net of reinsurance$824 
Third party occurrence business (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$330 $336 $339 $343 $339 $344 $343 $343 $345 $344 $49 75,679 
2015359 392 399 392 391 382 386 379 377 66 78,689 
2016390 394 406 399 375 368 363 352 77 78,883 
2017417 418 422 412 407 406 405 100 84,687 
2018430 453 451 451 459 462 127 78,320 
2019456 487 481 471 470 154 86,139 
2020607 616 640 632 226 92,279 
2021622 663 659 290 92,672 
2022688 726 513 92,564 
2023877 750 72,833 
Total$5,304 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$$40 $71 $113 $162 $191 $211 $224 $237 $257 
201511 45 88 139 182 212 227 249 268 
201612 42 88 137 165 195 215 231 
201713 52 100 135 165 221 247 
201817 64 115 154 200 247 
201918 73 122 173 214 
202024 77 155 235 
202126 91 174 
202224 85 
202332 
Total1,990 
All outstanding liabilities before 2014, net of reinsurance287 
Liabilities for losses and loss adjustment expenses, net of reinsurance$3,601 
Third party claims-made business (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$264 $279 $299 $279 $281 $297 $291 $288 $296 $287 $14 14,494 
2015259 277 276 260 255 252 268 267 274 13 13,932 
2016275 291 308 314 322 327 330 327 18 14,912 
2017270 286 312 308 323 317 338 48 15,473 
2018273 314 320 336 347 367 44 17,098 
2019289 317 317 322 330 66 15,879 
2020383 413 423 446 118 15,239 
2021515 518 499 254 16,323 
2022669 655 448 18,563 
2023811 641 20,494 
Total$4,334 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$14 $63 $129 $173 $207 $229 $243 $249 $260 $266 
201552 100 126 174 193 217 221 242 
201611 68 127 158 205 242 257 296 
201768 113 143 196 233 258 
201812 68 118 158 208 258 
201912 65 122 155 197 
202017 87 152 215 
202123 90 163 
202225 100 
202364 
Total2,059 
All outstanding liabilities before 2014, net of reinsurance77 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,352 
Multi-line and other specialty (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$302 $326 $318 $318 $317 $313 $310 $309 $311 $310 $148,702 
2015335 358 357 365 357 349 347 345 345 180,468 
2016409 431 428 416 410 408 409 406 192,955 
2017482 501 491 501 504 513 516 235,539 
2018512 565 563 565 565 565 14 260,995 
2019567 612 640 651 657 21 252,766 
2020618 569 515 517 44 166,357 
2021635 619 614 76 114,447 
2022678 642 157 143,264 
2023817 450 118,241 
Total$5,389 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$108 $197 $234 $267 $281 $292 $293 $295 $296 $297 
2015138 236 278 306 321 327 330 331 333 
2016176 305 342 363 379 385 390 392 
2017181 342 381 423 446 472 480 
2018212 389 443 480 509 527 
2019212 386 487 549 577 
2020172 309 359 406 
2021157 335 428 
2022177 371 
2023254 
Total4,065 
All outstanding liabilities before 2014, net of reinsurance24 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,348 
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2023:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Property, energy, marine and aviation
20.5 %43.7 %18.1 %6.0 %2.2 %1.0 %2.6 %1.9 %(0.4)%1.5 %
Third party occurrence business3.5 %9.4 %11.5 %11.4 %9.9 %9.8 %5.6 %4.6 %4.4 %5.6 %
Third party claims-made business
4.1 %15.5 %16.5 %11.1 %14.3 %10.1 %6.3 %5.2 %5.7 %2.0 %
Multi-line and other specialty34.0 %29.3 %11.3 %8.2 %4.5 %2.9 %1.1 %0.4 %0.4 %0.5 %
Reinsurance Segment
Loss Reserves for the Company’s reinsurance segment are comprised of (1) case reserves, (2) additional case reserves (“ACRs”) and (3) IBNR reserves. The Company receives reports of claims notices from ceding companies and records case reserves based upon the amount of reserves recommended by the ceding company. Case reserves may be supplemented by ACRs, which may be estimated by the Company’s claims personnel ahead of official notification from the ceding company, or when judgment regarding the size or severity of the known event differs from the ceding company. In certain instances, the Company establishes ACRs even when the ceding company does not report any liability on a known event. In addition, specific claim information reported by ceding companies or obtained through claim audits can alert the Company to emerging trends such as changing legal interpretations of coverage and liability, claims from unexpected sources or classes of business, and significant changes in the frequency or severity of individual claims. Such information is often used in the process of estimating IBNR reserves. IBNR reserves are established to provide for incurred claims which have not yet been reported at the balance sheet date as well as to adjust for any projected variance in case reserving. Actuaries estimate ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Like case reserves, IBNR reserves are adjusted as additional information becomes known or payments are made. The process of estimating Loss Reserves involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain.
The estimation of Loss Reserves for the reinsurance segment is subject to the same risk factors as the estimation of Loss Reserves for the insurance segment. In addition, the inherent uncertainties of estimating such reserves are even greater for reinsurers, due primarily to the following factors: (1) the claim-tail for reinsurers is generally longer because claims are first reported to the ceding company and then to the reinsurer through one or more intermediaries, (2) the reliance on premium estimates, where reports have not been received from the ceding company, in the reserving process, (3) the potential for writing a number of reinsurance contracts with different ceding companies with the same exposure to a single loss event, (4) the diversity of loss development
patterns among different types of reinsurance contracts, (5) the necessary reliance on the ceding companies for information regarding reported claims and (6) the differing reserving practices among ceding companies.
Ultimate losses and loss adjustment expenses are generally determined by projection of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future. As with the insurance segment, the process of estimating Loss Reserves for the reinsurance segment involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain. As discussed above, such uncertainty is greater for reinsurers compared to insurers. As a result, our reinsurance operations obtain information from numerous sources to assist in the process. Pricing actuaries from the reinsurance segment devote considerable effort to understanding and analyzing a ceding company’s operations and loss history during the underwriting of the business, using a combination of ceding company and industry statistics. Such statistics normally include historical premium and loss data by class of business, individual claim information for larger claims, distributions of insurance limits provided, loss reporting and payment patterns, and rate change history. This analysis is used to project expected loss ratios for each treaty during the upcoming contract period.
As mentioned above, there can be a considerable time lag from the time a claim is reported to a ceding company to the time it is reported to the reinsurer. The lag can be several years in some cases and may be attributed to a number of reasons, including the time it takes to investigate a claim, delays associated with the litigation process, the deterioration in a claimant’s physical condition many years after an accident occurs, the case reserving approach of the ceding company, etc. In the reserving process, the Company assumes that such lags are predictable, on average, over time and therefore the lags are contemplated in the loss reporting patterns used in their actuarial methods. This means that the reinsurance segment must rely on estimates for a longer period of time than does an insurance company. Backlogs in the recording of assumed reinsurance can also complicate the accuracy of loss reserve estimation. As of December 31, 2023 there were no significant backlogs related to the processing of assumed reinsurance information at our reinsurance operations.
The reinsurance segment relies heavily on information reported by ceding companies, as discussed above. In order to determine the accuracy and completeness of such information, underwriters, actuaries, and claims personnel often perform audits of ceding companies and regularly review information received from ceding companies for unusual or unexpected results. Material findings are usually discussed with the ceding companies. The Company sometimes encounters situations where they determine that a claim presentation from a ceding company is not in accordance with contract terms. In these situations, the Company attempts to resolve the dispute with the ceding company. Most situations are resolved amicably and without the need for litigation or arbitration. However, in the infrequent situations where a resolution is not possible, the Company will vigorously defend its position in such disputes.
Although Loss Reserves are initially determined based on underwriting and pricing analysis, the Company applies several generally accepted actuarial methods, as discussed above, on a quarterly basis to evaluate its Loss Reserves in addition to the expected loss method, in particular for reserves from more mature underwriting years (the year in which business is underwritten). Each quarter, as part of the reserving process, the Company’s actuaries reaffirm that the assumptions used in the reserving process continue to form a sound basis for projection of liabilities. If actual loss activity differs substantially from expectations based on historical information, an adjustment to Loss Reserves may be supported. Estimated Loss Reserves for more mature underwriting years are now based more on actual loss activity and historical patterns than on the initial assumptions based on pricing indications. More recent underwriting years rely more heavily on internal pricing assumptions. The Company places more or less reliance on a particular actuarial method based on the facts and circumstances at the time the estimates of Loss Reserves are made.
In the initial reserving process for short-tail reinsurance lines (consisting of property excluding property catastrophe and property catastrophe exposures), the Company relies on a combination of the reserving methods discussed above. For known catastrophic events, the reserving process also includes the usage of catastrophe models and a heavy reliance on analysis which includes ceding company inquiries and management judgment. The development of property losses may be unstable, especially where there is high catastrophic exposure, may be characterized by high severity, low frequency losses for excess and catastrophe-exposed business and may be highly correlated across contracts. As time passes, for a given underwriting year, additional weight is given to the paid and incurred B-F loss development methods and historical paid and incurred loss development
methods in the reserving process. The Company makes a number of key assumptions in reserving for short-tail lines, including that historical paid and reported development patterns are stable, catastrophe models provide useful information about our exposure to catastrophic events that have occurred and our underwriters’ judgment and guidance received from ceding companies as to potential loss exposures may be relied on. The expected loss ratios used in the initial reserving process for property exposures have varied over time due to changes in pricing, reinsurance structure, estimates of catastrophe losses, terms and conditions and geographical distribution. As losses in property lines are reported relatively quickly, expected loss ratios are selected for the current underwriting year incorporating the experience for earlier underwriting years, adjusted for rate changes, inflation, changes in reinsurance programs, expectations about present and future market conditions and expected attritional losses based on modeling. Due to the short-tail nature of property business, reported loss experience emerges quickly and ultimate losses are known in a reasonably short period of time.
In the initial reserving process for medium-tail and long-tail reinsurance lines (consisting of casualty, other specialty, marine and aviation and other exposures), the Company primarily relies on the expected loss method. The development of medium-tail and long-tail business may be unstable, especially if there are high severity major events, with business written on an excess of loss basis typically having a longer tail than business written on a pro rata basis. As time passes, for a given underwriting year, additional weight is given to the paid and incurred B-F loss development methods and eventually to the historical paid and incurred loss development methods in the reserving process. Our reinsurance operations make a number of key assumptions in reserving for medium-tail and long-tail lines, including that the pricing loss ratio is the best estimate of the ultimate loss ratio at the time the contract is entered into, historical paid and reported development patterns are stable and claims personnel and underwriters’ analyses of our exposure to major events are our best estimate of our exposure to the known claims on those events. The expected loss ratios used in our reinsurance operations’ initial reserving process for medium-tail and long-tail contracts have varied over time due to changes in pricing, terms and conditions and reinsurance structure. As the credibility of historical experience for earlier underwriting years increases, the experience from these underwriting years is used in the actuarial analysis to determine future underwriting year expected loss ratios, adjusted for changes in pricing, loss trends, terms and conditions and reinsurance structure.
The following tables present information on the reinsurance segment’s short-duration insurance contracts:
Casualty (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$215 $220 $217 $230 $227 $237 $237 $234 $234 $241 $33 N/A
2015220 219 228 235 239 246 249 251 260 44 N/A
2016212 224 247 262 269 268 272 281 45 N/A
2017267 254 270 297 309 316 330 53 N/A
2018276 289 281 286 298 308 50 N/A
2019330 341 367 379 400 84 N/A
2020382 371 354 372 163 N/A
2021439 434 425 205 N/A
2022547 527 390 N/A
2023657 568 N/A
Total$3,801 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$$16 $41 $63 $91 $114 $134 $145 $153 $160 
201520 47 71 96 120 137 152 170 
201626 52 87 113 132 157 172 
201730 64 113 137 164 189 
201831 106 129 155 182 
201916 58 97 130 219 
202018 50 90 132 
202115 53 102 
202218 61 
202318 
Total1,405 
All outstanding liabilities before 2014, net of reinsurance310 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,706 

Property catastrophe (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$44 $30 $25 $22 $20 $20 $19 $19 $19 $19 $— N/A
201533 18 12 — N/A
201624 17 13 N/A
201786 54 50 36 24 21 22 (1)N/A
201871 49 30 17 N/A
201920 10 (7)N/A
2020269 333 337 326 17 N/A
2021314 308 294 13 N/A
2022303 295 41 N/A
2023267 76 N/A
Total$1,229 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$14 $20 $18 $19 $18 $19 $19 $19 $19 $19 
2015(3)(2)
2016(7)
201731 32 37 27 14 16 17 
201827 16 (13)(11)(9)
201911 (14)(13)
202056 158 207 249 
202165 171 222 
202270 169 
2023
Total668 
All outstanding liabilities before 2014, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance$563 
Property excluding property catastrophe (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$142 $117 $98 $90 $88 $84 $82 $80 $79 $79 $— N/A
2015214 188 184 188 187 176 173 167 167 N/A
2016175 145 137 135 139 136 130 130 N/A
2017268 250 237 230 214 206 202 N/A
2018224 239 235 212 202 203 N/A
2019216 206 195 190 190 N/A
2020368 340 320 320 15 N/A
2021545 497 491 38 N/A
2022742 668 119 N/A
2023835 414 N/A
Total$3,285 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$23 $62 $71 $76 $78 $78 $78 $78 $78 $78 
201575 119 149 160 165 159 159 159 160 
201633 94 98 104 111 114 115 115 
201728 125 156 164 179 182 186 
201830 108 152 167 175 177 
201943 124 150 162 169 
2020101 207 243 267 
2021136 270 364 
2022143 361 
2023152 
Total2,029 
All outstanding liabilities before 2014, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,261 

Marine and aviation (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$31 $29 $27 $25 $23 $23 $22 $22 $19 $18 $— N/A
201533 37 32 31 30 28 27 25 24 N/A
201627 23 23 19 17 15 12 11 N/A
201729 26 24 21 20 17 15 N/A
201827 26 24 24 21 21 N/A
201948 55 60 61 62 N/A
202083 76 79 80 10 N/A
2021110 96 81 18 N/A
2022126 138 59 N/A
2023161 127 N/A
Total$611 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$$$11 $12 $15 $15 $16 $16 $17 $17 
2015— 13 19 21 22 22 22 22 22 
2016(7)(2)— 
201711 12 12 12 
201811 13 14 15 
201911 21 29 35 43 
202026 42 60 
202124 45 
202212 37 
202313 
Total271 
All outstanding liabilities before 2014, net of reinsurance17 
Liabilities for losses and loss adjustment expenses, net of reinsurance$357 
Other specialty (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$337 $316 $318 $312 $307 $308 $304 $298 $296 $295 $N/A
2015280 278 276 273 273 270 259 258 255 N/A
2016326 323 316 307 314 309 306 307 N/A
2017398 390 372 372 370 366 363 15 N/A
2018416 409 404 428 424 423 29 N/A
2019427 406 400 395 405 40 N/A
2020593 524 519 539 61 N/A
2021610 611 613 80 N/A
2022953 935 225 N/A
20231,348 817 N/A
Total$5,483 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$96 $186 $229 $248 $258 $271 $275 $278 $280 $282 
201583 162 197 211 224 236 239 240 241 
2016108 205 242 261 277 283 289 293 
2017136 256 298 313 326 337 346 
2018130 276 315 336 353 376 
2019121 211 277 303 325 
2020134 293 370 405 
2021152 311 432 
2022182 464 
2023244 
Total3,408 
All outstanding liabilities before 2014, net of reinsurance19 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,094 
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2023:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Casualty
2.8 %7.7 %12.1 %10.4 %11.4 %8.5 %7.8 %5.3 %5.2 %2.9 %
Property catastrophe56.0 %(17.5)%47.2 %(41.9)%(6.2)%10.9 %2.4 %1.1 %(1.7)%— %
Property excluding property catastrophe
25.0 %38.2 %14.2 %6.0 %4.4 %0.2 %0.7 %0.1 %0.4 %0.4 %
Marine and aviation
3.0 %28.8 %20.0 %13.0 %10.6 %3.4 %2.2 %1.0 %3.8 %0.4 %
Other specialty28.6 %29.9 %13.9 %5.7 %4.5 %3.9 %1.7 %0.9 %0.6 %1.0 %
Mortgage Segment
The Company’s mortgage segment includes (1) U.S. primary mortgage insurance (2) U.S. credit risk transfer and other, and (3) international mortgage insurance and reinsurance. The latter two categories along with second lien and student loan exposures are excluded on the basis of insignificance for the purposes of presenting disclosures related to short duration contracts.
For primary mortgage insurance business, the Company establishes case reserves for loans that have been reported as delinquent by loan servicers as well as those that are delinquent but not reported (IBNR reserves). The Company also reserves for the expenses of adjusting claims related to these delinquencies. The trigger that creates a case reserve estimate is that an insured loan is reported to us as being two payments in arrears. The actuarial reviews and
documentation created in the reserving process are completed in accordance with generally accepted actuarial standards. The selected assumptions reflect actuarial judgment based on the analysis of historical data and experience combined with information concerning current underwriting, economic, judicial, regulatory and other influences on ultimate claim settlements.
Because the reserving process requires the Company to forecast future conditions, it is inherently uncertain and requires significant judgment and estimation. The use of different estimates would result in the establishment of different reserve levels. Additionally, changes in estimates are likely to occur from period to period as economic conditions change, and the ultimate liability may vary significantly from the estimates used. Major risk factors include (but are not limited to) changes in home prices and borrower equity, which can limit the borrower’s ability to sell
the property and satisfy the outstanding loan balance, and changes in unemployment, which can affect the borrower’s income and ability to make mortgage payments. The unique nature of the COVID-19 pandemic, with no historical precedent, adds further uncertainty to current reserve estimates.
The lead actuarial methodology used by the Company is a frequency-severity method based on the inventory of pending delinquencies. Each month the loan servicers report the delinquency status of each insured loan. Using the frequency-severity method allows the Company to take advantage of its knowledge of the number of delinquent loans and the coverage provided (“risk size”) on those loans by directly relating the reserves to these amounts. The delinquencies are grouped into homogeneous cohorts for analysis, reflecting the age of delinquency. A claim rate is then developed for each cohort which represents the frequency with which the delinquencies become claims. The claim frequency rates are based on an analysis of the patterns of emerging cure counts and claim counts, the foreclosure status of the pending delinquencies, the product and geographical mix of the delinquencies and our view of future economic and claim conditions, which include trends in home prices and unemployment. Claim rates can vary materially by age of delinquency, depending on the mix of delinquencies and economic conditions.
Claim size severity estimates are determined by examining the risk sizes on the delinquent loans and estimating the portion of risk that will be paid, as well as any expenses. This is done based on a review of historical development patterns, an assessment of economic conditions and the level of equity the borrowers may have in their homes, as well as considering economic conditions and loss mitigation opportunities. Mortgage insurance is generally not subject to large claim sizes, as with some other lines of insurance. A
claim size over $250,000 is rare, and this helps reduce the volatility of claim size estimates.
The claim rate and claim size assumptions generate case reserves for the population of reported delinquencies. The reserve for unreported delinquencies (included in IBNR reserves) is estimated by looking at historical patterns of reporting. Claim rates and claim sizes can then be assigned to estimated unreported delinquencies using assumptions made in the establishment of case reserves.
Mortgage insurance Loss Reserves are short-tail, in the sense that the vast majority of delinquencies are resolved within two years of being reported. Due to the forbearances and foreclosure moratoriums associated with COVID-19, settlement timelines have been extended. While reserves are initially analyzed by reserve cohort, as described above, they are also rolled up by underwriting year to ensure that reserve assumptions are consistent with the performance of the underwriting year. The accuracy of prior reserve assumptions is also checked in hindsight to determine if adjustments to the assumptions are needed.
Loss Reserves for the Company’s mortgage reinsurance business and GSE credit risk sharing transactions are comprised of case reserves and IBNR reserves. The Company’s mortgage reinsurance operations receive reports of delinquent loans and claims notices from ceding companies and record case reserves based upon the amount of reserves recommended by the ceding company. In addition, specific claim and delinquency information reported by ceding companies is used in the process of estimating IBNR reserves.

The following table presents information on the mortgage segment’s short-duration insurance contracts:
U.S. primary mortgage insurance (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of paid claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$316 $297 $279 $266 $266 $261 $263 $263 $261 $259 — 6,332 
2015223 197 198 195 189 191 191 189 188 — 4,588 
2016184 171 149 141 142 142 137 136 — 3,462 
2017179 132 107 108 109 102 99 — 2,541 
2018132 96 89 88 72 69 — 1,763 
2019108 119 110 63 51 — 1,149 
2020420 374 78 33 — 492 
2021144 77 20 — 211 
2022173 55 — 135 
2023182 
Total$1,092 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
201420 129 202 234 247 254 256 257 257 258 
201516 92 151 171 180 183 184 185 186 
201611 72 113 127 131 132 132 133 
201748 79 87 90 92 93 
201831 50 56 59 60 
201920 29 34 39 
202013 
2021— 
2022— 
2023— 
Total790 
All outstanding liabilities before 2014, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance$310 
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2023:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
U.S. Primary5.1 %29.1 %24.2 %10.7 %4.7 %1.8 %0.7 %0.5 %0.2 %0.1 %
The following table represents a reconciliation of the disclosures of net incurred and paid loss development tables to the reserve for losses and loss adjustment expenses at December 31, 2023:
December 31, 2023
Net outstanding liabilities
Insurance
Property, energy, marine and aviation
$824 
Third party occurrence business
3,601 
Third party claims-made business
2,352 
Multi-line and other specialty
1,348 
Reinsurance
Casualty
2,706 
Property catastrophe
563 
Property excluding property catastrophe
1,261 
Marine and aviation
357 
Other specialty
2,094 
Mortgage
U.S. primary310 
Other short duration lines not included in disclosures 284 
Total for short duration lines15,700 
Unpaid losses and loss adjustment expenses recoverable
Insurance
Property, energy, marine and aviation
359 
Third party occurrence business
2,025 
Third party claims-made business
1,001 
Multi-line and other specialty
246 
Reinsurance
Casualty
738 
Property catastrophe
519 
Property excluding property catastrophe
239 
Marine and aviation
240 
Other specialty
828 
Mortgage
U.S. primary33 
Other short duration lines not included in disclosures (1)468 
Intercompany eliminations(6)
Total for short duration lines6,690 
Lines other than short duration132 
Discounting(66)
Unallocated claims adjustment expenses296 
362 
Reserve for losses and loss adjustment expenses$22,752 
(1)    Includes unpaid loss and loss adjustment expenses recoverable of $225 million related to the loss portfolio transfer reinsurance agreements.
XML 31 R15.htm IDEA: XBRL DOCUMENT v3.24.0.1
Allowance for Expected Credit Losses
12 Months Ended
Dec. 31, 2023
Credit Loss [Abstract]  
Allowance for expected credit losses
Premiums Receivable
The following table provides a roll forward of the allowance for expected credit losses of the Company’s premium receivables:
Year Ended December 31, 2023Premium Receivables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$3,625 $35 
Change for provision of expected credit losses (1)(1)
Balance at end of period$4,644 $34 
Year Ended December 31, 2022
Balance at beginning of period$2,633 $40 
Change for provision of expected credit losses (1)(5)
Balance at end of period$3,625 $35 
(1) Amounts deemed uncollectible are written-off in operating expenses. For the 2023 and 2022 periods, amounts written off totaled $3 million and $11 million, respectively.
Reinsurance Recoverables
The Company monitors the financial condition of its reinsurers and attempts to place coverages only with substantial, financially sound carriers. Although the Company has not experienced any material credit losses to date, an inability of its reinsurers or retrocessionaires to meet their obligations to it over the relevant exposure periods for any reason could have a material adverse effect on its financial condition and results of operations.
The following table provides a roll forward of the allowance for expected credit losses of the Company’s reinsurance recoverables:
Year Ended December 31, 2023Reinsurance Recoverables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$6,564 $22 
Change for provision of expected credit losses(1)
Balance at end of period$7,064 $21 
Year Ended December 31, 2022
Balance at beginning of period$5,881 $13 
Change for provision of expected credit losses
Balance at end of period6,564 $22 
The following table summarizes the Company’s reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) at December 31, 2023 and 2022:
December 31,
20232022
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses$7,064$6,564
% due from carriers with A.M. Best rating of “A-” or better66.8 %68.8 %
% due from all other rated carriers0.1 %0.1 %
% due from all other carriers with no A.M. Best rating (1)33.1 %31.1 %
Largest balance due from any one carrier as % of total shareholders’ equity7.2 %9.0 %
(1)    At December 31, 2023 and 2022 period, over 95% of such amount were collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other, respectively.
Contractholder Receivables
The following table provides a roll forward of the allowance for expected credit losses of the Company’s contractholder receivables:
Year Ended December 31, 2023Contractholder Receivables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$1,731 $
Change for provision of expected credit losses— 
Balance at end of period$1,814 $
Year Ended December 31, 2022
Balance at beginning of period$1,829 $
Change for provision of expected credit losses— 
Balance at end of period1,731 $
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Reinsurance
12 Months Ended
Dec. 31, 2023
Reinsurance Disclosures [Abstract]  
Reinsurance
In the normal course of business, the Company’s insurance subsidiaries cede a portion of their premium through pro rata and excess of loss reinsurance agreements on a treaty or facultative basis to third parties. The Company’s reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as the Company’s reinsurance subsidiaries, and the ceding company. In addition, the Company’s reinsurance subsidiaries may purchase retrocessional coverage as part of their risk management program. The Company’s mortgage subsidiaries cede a portion of their premium through quota share arrangements and enter into various aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, the Company’s insurance or reinsurance subsidiaries would be liable for such defaulted amounts.
The effects of reinsurance on the Company’s written and earned premiums and losses and loss adjustment expenses with unaffiliated reinsurers were as follows:
Year Ended December 31,
202320222021
Premiums Written
Direct$9,652 $8,542 $7,707 
Assumed8,751 6,785 5,045 
Ceded(4,935)(4,249)(3,735)
Net$13,468 $11,078 $9,017 
Premiums Earned
Direct$9,131 $8,058 $7,150 
Assumed7,890 5,768 4,334 
Ceded(4,581)(4,147)(3,402)
Net$12,440 $9,679 $8,082 
Losses and Loss Adjustment Expenses
Direct$4,739 $3,991 $4,267 
Assumed3,975 3,558 2,826 
Ceded(2,468)(2,521)(2,508)
Net$6,246 $5,028 $4,585 
Bellemeade Re
The Company has entered into various aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the “Bellemeade Agreements”). For the respective coverage periods, the Company will retain the first layer of the respective aggregate losses and the special purpose reinsurance companies will provide second layer coverage up to the outstanding coverage amount. The Company will then retain losses in excess of the outstanding coverage limit. The aggregate excess of loss reinsurance coverage decreases over a ten-year period as the underlying covered mortgages amortize. See note 12, “Variable Interest Entity and Noncontrolling Interests.”
The following table summarizes the respective coverages and retentions at December 31, 2023:
Bellemeade Entities
(Issue Date)
Initial Coverage at IssuanceCurrent
Coverage
Remaining Retention, Net
2019-1 Ltd. (1)342 71 134 
2019-3 Ltd. (2)701 99 218 
2021-3 Ltd. (3)639 541 134 
2022-1 Ltd. (4)317 282 141 
2022-2 Ltd. (5)327 327 205 
2023-1 Ltd. (6)233 233 185 
Total$2,559 $1,553 $1,017 

(1)    Issued in March 2019, covering in-force policies primarily issued between 2005 to 2008 under United Guaranty Residential Insurance Company (“UGRIC”); as well as policies issued through 2015 under both UGRIC and Arch Mortgage Insurance Company.
(2)    Issued in July 2019, covering in-force policies issued in 2016.
(3)    Issued in September 2021, covering in-force policies issued between April 1, 2021 and June 30, 2021. $508 million was directly funded by Bellemeade Re 2021-3 Ltd. via insurance-linked notes, with an additional $131 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(4)    Issued in January 2022, covering in-force policies issued between July 1, 2021 and November 30, 2021. $284 million was directly funded by Bellemeade Re 2022-1 Ltd. via insurance-linked notes, with an additional $33 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(5)    Issued in September 2022, covering in-force policies issued between November 1, 2021 and June 30, 2022. $201 million was directly funded by Bellemeade Re 2022-2 Ltd. via insurance-linked notes, with an additional $126 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(6)    Issued in October 2023, covering in-force policies issued between January 1, 2023 and September 30, 2023. $187 million was directly funded by Bellemeade Re 2023-1 Ltd. via insurance-linked notes, with an additional $47 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.

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Investment Information
12 Months Ended
Dec. 31, 2023
Disclosure Investment Information [Abstract]  
Investment
Available For Sale Investments
The following table summarizes the fair value and cost or amortized cost of the Company’s securities classified as available for sale:
Estimated
Fair
Value
Gross Unrealized GainsGross Unrealized LossesAllowance for Expected Credit LossesCost or
Amortized
Cost
December 31, 2023
Fixed maturities:
Corporate bonds$10,855 $157 $(464)$(20)$11,182 
U.S. government and government agencies5,814 63 (86)— 5,837 
Asset backed securities2,250 11 (55)(5)2,299 
Non-U.S. government securities2,062 33 (100)(1)2,130 
Commercial mortgage backed securities1,213 (34)(2)1,246 
Residential mortgage backed securities1,103 (66)— 1,162 
Municipal bonds256 (20)— 275 
Total23,553 275 (825)(28)24,131 
Short-term investments2,063 (2)— 2,064 
Total$25,616 $276 $(827)$(28)$26,195 
December 31, 2022
Fixed maturities:
Corporate bonds$8,020 $55 $(781)$(30)$8,776 
U.S. government and government agencies5,162 15 (343)— 5,490 
Asset backed securities1,927 (107)(6)2,039 
Non-U.S. government securities2,313 (238)(2)2,544 
Commercial mortgage backed securities1,047 (58)(3)1,107 
Residential mortgage backed securities795 (87)— 877 
Municipal bonds419 (33)— 449 
Total19,683 89 (1,647)(41)21,282 
Short-term investments1,332 (2)— 1,333 
Total$21,015 $90 $(1,649)$(41)$22,615 
The following table summarizes, for all available for sale securities in an unrealized loss position, the fair value and gross unrealized loss by length of time the security has been in a continual unrealized loss position:
Less than 12 Months12 Months or MoreTotal
Estimated Fair
Value
Gross Unrealized LossesEstimated Fair
Value
Gross Unrealized LossesEstimated Fair
Value
Gross Unrealized Losses
December 31, 2023
Fixed maturities:
Corporate bonds$1,559 $(45)$4,959 $(419)$6,518 $(464)
U.S. government and government agencies1,066 (10)941 (76)2,007 (86)
Non-U.S. government securities365 (4)897 (96)1,262 (100)
Residential mortgage backed securities221 (3)522 (63)743 (66)
Asset backed securities234 (1)1,112 (54)1,346 (55)
Commercial mortgage backed securities100 (1)909 (33)1,009 (34)
Municipal bonds20 (1)215 (19)235 (20)
Total3,565 (65)9,555 (760)13,120 (825)
Short-term investments302 (2)— — 302 (2)
Total$3,867 $(67)$9,555 $(760)$13,422 $(827)
December 31, 2022
Fixed maturities:
Corporate bonds$4,823 $(393)$2,559 $(388)$7,382 $(781)
U.S. government and government agencies3,557 (197)1,443 (146)5,000 (343)
Non-U.S. government securities1,703 (154)542 (84)2,245 (238)
Residential mortgage backed securities546 (52)154 (35)700 (87)
Asset backed securities1,148 (66)512 (41)1,660 (107)
Commercial mortgage backed securities598 (35)445 (23)1,043 (58)
Municipal bonds364 (30)16 (3)380 (33)
Total12,739 (927)5,671 (720)18,410 (1,647)
Short-term investments237 (2)— — 237 (2)
Total$12,976 $(929)$5,671 $(720)$18,647 $(1,649)
At December 31, 2023, on a lot level basis, approximately 7,100 security lots out of a total of approximately 15,720 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $6 million. The Company believes that such securities were temporarily impaired at December 31, 2023. At December 31, 2022, on a lot level basis, approximately 9,810 security lots out of a total of approximately 12,590 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $7 million.
The contractual maturities of the Company’s fixed maturities are shown in the following table. Expected maturities, which are management’s best estimates, will differ from contractual maturities because borrowers may have the right to call or prepay obligations with or without call or prepayment penalties.
December 31, 2023December 31, 2022
Maturity
Estimated Fair Value
Amortized Cost
Estimated Fair Value
Amortized Cost
Due in one year or less$480 $499 $511 $537 
Due after one year through five years12,924 13,101 11,016 11,715 
Due after five years through 10 years5,249 5,450 3,984 4,527 
Due after 10 years334 374 403 480 
18,987 19,424 15,914 17,259 
Mortgage backed securities1,103 1,162 795 877 
Commercial mortgage backed securities1,213 1,246 1,047 1,107 
Asset backed securities2,250 2,299 1,927 2,039 
Total$23,553 $24,131 $19,683 $21,282 
Equity Securities, at Fair Value
At December 31, 2023, the Company held $1.2 billion of equity securities, at fair value, compared to $860 million at December 31, 2022.
Net Investment Income
The components of net investment income were derived from the following sources:
Year Ended December 31,
202320222021
Fixed maturities$917 $469 $331 
Short-term investments68 29 
Equity securities22 22 42 
Term loans— — 30 
Other (1)93 47 68 
Gross investment income1,100 567 478 
Investment expenses(77)(71)(89)
Net investment income$1,023 $496 $389 
(1)    Includes interest income on operating cash, distributions from investment funds and other items.

Net Realized Gains (Losses)

Net realized gains (losses) were as follows:
Year Ended December 31,
202320222021
Available for sale securities:
Gross gains on investment sales$116 $81 $314 
Gross losses on investment sales(547)(317)(157)
Change in fair value of assets and liabilities accounted for using the fair value option:
Fixed maturities18 (71)
Other investments27 (21)117 
Equity securities(4)13 
Short-term investments— (3)
Equity securities, at fair value :
Net realized gains (losses) on securities sold61 75 123 
Net unrealized gains (losses) on equity securities still held at reporting date88 (267)49 
Allowance for credit losses:
Investments related(44)(1)
Underwriting related(1)(13)— 
Derivative instruments (1)59 (75)(33)
Other (2)10 (4)(55)
Net realized gains (losses)$(165)$(663)$380 
(1)    See note 11, “Derivative Instruments” for information on the Company’s derivative instruments.
(2)    2021 period reflected $33 million of losses related to the Company’s
deconsolidation of Somers.

Other Investments
The following table summarizes the Company’s other investments and other investable assets:
December 31,
20232022
Other investments$1,777 $1,043 
Fixed maturities683 554 
Equity securities14 
Short-term investments21 33 
Total other investments$2,488 $1,644 
The following table summarizes the Company’s other investments, as detailed in the previous table, by strategy:

December 31,

2023

2022
Lending427 406 
Investment grade fixed income754 271 
Term loan investments272 164 
Private equity182 123 
Credit related funds124 56 
Energy18 23 
Total
$1,777 $1,043 
Investments Accounted For Using the Equity Method
The following table summarizes the Company’s investments accounted for using the equity method, by strategy:

December 31,

20232022
Credit related funds$1,258 $1,136 
Private equity1,175 917 
Real estate666 535 
Lending597 531 
Infrastructure320 245 
Fixed income277 130 
Equities178 169 
Energy95 111 
Total
$4,566 $3,774 
In applying the equity method, investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds.
Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method
The Company recorded equity in net income related to investments accounted for using the equity method of $278 million for 2023, compared to $115 million for 2022 and $366 million for 2021. In applying the equity method,
investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds).
A summary of financial information for the Company’s investment funds and operating affiliates accounted for using the equity method is as follows:
December 31,
20232022
Invested assets$91,534 $74,961 
Total assets108,952 88,063 
Total liabilities33,901 27,553 
Net assets$75,051 $60,510 
Year Ended December 31,
202320222021
Total revenues$7,766 $12,305 $11,786 
Total expenses7,174 5,374 3,239 
Net income (loss)$592 $6,931 $8,547 
Certain of the Company’s other investments and investments accounted for using the equity method are in investment funds for which the Company has the option to redeem at agreed upon values as described in each investment fund’s subscription agreement. Depending on the terms of the various subscription agreements, investments in investment funds may be redeemed daily, monthly, quarterly or on other terms. Two common redemption restrictions which may impact the Company’s ability to redeem these investment funds are gates and lockups. A gate is a suspension of redemptions which may be implemented by the general partner or investment manager of the fund in order to defer, in whole or in part, the redemption request in the event the aggregate amount of redemption requests exceeds a predetermined percentage of the investment fund's net assets which may otherwise hinder the general partner or investment manager's ability to liquidate holdings in an orderly fashion in order to generate the cash necessary to fund extraordinarily large redemption payouts. A lockup period is the initial amount of time an investor is contractually required to hold the security before having the ability to redeem. If the investment funds are eligible to be redeemed, the time to redeem such fund can take weeks or months following the notification.
Limited Partnership Interests
In the normal course of its activities, the Company invests in limited partnerships as part of its overall investment strategy. Such amounts are included in ‘investments accounted for using the equity method’ and ‘investments accounted for using the fair value option.’ The Company determined that these limited partnership interests represented variable interests in the funds. The Company’s maximum exposure to
loss with respect to these investments is limited to the investment carrying amounts reported in the Company’s consolidated balance sheet and any unfunded commitment.
The following table summarizes investments in limited partnership interests where the Company has a variable interest by balance sheet item:
December 31,
20232022
Investments accounted for using the equity method (1)$4,566 $3,774 
Investments accounted for using the fair value option (2)114 130 
Total$4,680 $3,904 
(1)     Aggregate unfunded commitments were $3.4 billion at December 31, 2023, consistent with $2.6 billion at December 31, 2022.
(2)    Aggregate unfunded commitments were $32 million at December 31, 2023, compared to $17 million at December 31, 2022.

Investments in Operating Affiliates
Investments in which the Company has significant influence over the operating and financial policies are classified as ‘investments in operating affiliates’ on the Company’s balance sheets and are accounted for under the equity method. Such investments primarily include the Company’s investment in Coface SA (“Coface”), Greysbridge and Premia. Investments in Coface and Premia are generally recorded on a three month lag, while the Company’s investment in Greysbridge is not recorded on a lag.
In 2021, the Company completed the share purchase agreement with Natixis to purchase 29.5% of the common equity of Coface, a France-based leader in the global trade credit insurance market. The consideration paid was €9.95 per share, or an aggregate €453 million (approximately $546 million) including related fees. Income (loss) from operating affiliates reflected a one-time gain of $75 million realized from the acquisition. As a result of equity method accounting rules, approximately $36 million of additional gain was deferred and will generally be recognized over the next five years. As of December 31, 2023, the Company owned approximately 29.9% of the issued shares of Coface, or 30.1% excluding treasury shares, with a carrying value of $570 million, compared to $563 million at December 31, 2022.
In July 2021, the Company announced the completion of the previously disclosed acquisition of Somers by Greysbridge for a cash purchase price of $35.00 per common share.

Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by the Company, 30% by certain investment funds managed by Kelso and 30% by certain investment funds managed by
Warburg. At December 31, 2023 the Company’s carrying value in Greysbridge was $430 million, compared to $306 million at December 31, 2022. The Company’s carrying value in Greysbridge reflected aggregate purchase price of $279 million along with income (loss) from operating affiliates, which included a one-time gain of $96 million recognized from the acquisition. See note 12, “Variable Interest Entity and Noncontrolling Interests.”
The Company recorded income from operating affiliates of $184 million for 2023, compared to $75 million for 2022 and $264 million for 2021.


Allowance for Expected Credit Losses
The following table provides a roll forward of the allowance for expected credit losses of the Company’s securities classified as available for sale:
Year Ended December 31, 2023Structured Securities (1)Non-U.S. Government SecuritiesCorporate
Bonds
Total
Balance at beginning of period$$$30 $41 
Additions for current-period provision for expected credit losses— 
Additions (reductions) for previously recognized expected credit losses(3)— (7)(10)
Reductions due to disposals(1)(1)(8)(10)
Balance at end of period$$$20 $28 
Year Ended December 31, 2022
Balance at beginning of period$$— $$
Additions for current-period provision for expected credit losses14 39 55 
Additions (reductions) for previously recognized expected credit losses (4)— (9)(13)
Reductions due to disposals(2)— (2)(4)
Balance at end of period$$$30 $41 
(1)    Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
Restricted Assets
The Company is required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support its underwriting operations. The Company’s subsidiaries maintain assets in trust accounts as collateral for transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties
The following table details the value of the Company’s restricted assets:
December 31,
20232022
Assets used for collateral or guarantees:
Affiliated transactions$4,854 $4,254 
Third party agreements2,869 2,633 
Deposits with U.S. regulatory authorities833 776 
Other (1)1,376 1,038 
Total restricted assets $9,932 $8,701 
(1) Primarily includes Funds at Lloyds, deposits with non-U.S. regulatory authorities and other restricted assets.
Reconciliation of Cash and Restricted Cash
The following table details reconciliation of cash and restricted cash within the Consolidated Balance Sheets:
December 31,
202320222021
Cash$917 $855 $859 
Restricted cash (included in ‘other assets’)581 418 455 
Cash and restricted cash$1,498 $1,273 $1,314 
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Fair Value
12 Months Ended
Dec. 31, 2023
Fair Value Disclosures [Abstract]  
Fair Value
Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. It defines fair value as the price that would be received to sell an asset or paid to transfer a liability in an orderly fashion between market participants at the measurement date. In addition, it establishes a three-level valuation hierarchy for the disclosure of fair value measurements. The valuation hierarchy is based upon the transparency of inputs to the valuation of an asset or liability as of the measurement date. The level in the hierarchy within which a given fair value measurement falls is determined based on the lowest level input that is significant to the measurement (Level 1 being the highest priority and Level 3 being the lowest priority).
The levels in the hierarchy are defined as follows:
Level 1:
Inputs to the valuation methodology are observable inputs that reflect quoted prices (unadjusted) for identical assets or liabilities in active markets
Level 2:
Inputs to the valuation methodology include quoted prices for similar assets and liabilities in active markets, and inputs that are observable for the asset or liability, either directly or indirectly, for substantially the full term of the financial instrument
Level 3:
Inputs to the valuation methodology are unobservable and significant to the fair value measurement
Following is a description of the valuation methodologies used for securities measured at fair value, as well as the general classification of such securities pursuant to the valuation hierarchy. The Company reviews its securities measured at fair value and discusses the proper classification of such investments with investment advisers and others.
The Company determines the existence of an active market based on its judgment as to whether transactions for the financial instrument occur in such market with sufficient frequency and volume to provide reliable pricing information. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. The Company uses quoted values and other data provided by nationally recognized independent pricing sources as inputs into its process for determining fair values of its fixed maturity investments. To validate the techniques or models used by pricing sources, the Company's review process includes, but is not limited to: (i) quantitative analysis (e.g., comparing the quarterly return for each managed portfolio to its target
benchmark, with significant differences identified and investigated); (ii) a review of the prices obtained in the pricing process and the range of resulting fair values; (iii) initial and ongoing evaluation of methodologies used by outside parties to calculate fair value; (iv) a comparison of the fair value estimates to the Company’s knowledge of the current market; (v) a comparison of the pricing services' fair values to other pricing services' fair values for the same investments; and (vi) periodic back-testing, which includes randomly selecting purchased or sold securities and comparing the executed prices to the fair value estimates from the pricing service. A price source hierarchy was maintained in order to determine which price source would be used (i.e., a price obtained from a pricing service with more seniority in the hierarchy will be used over a less senior one in all cases). The hierarchy prioritizes pricing services based on availability and reliability and assigns the highest priority to index providers. Based on the above review, the Company will challenge any prices for a security or portfolio which are considered not to be representative of fair value.
In certain circumstances, when fair values are unavailable from these independent pricing sources, quotes are obtained directly from broker-dealers who are active in the corresponding markets. Such quotes are subject to the validation procedures noted above. Of the $29.6 billion of financial assets and liabilities measured at fair value at December 31, 2023, approximately $14 million, or 0.0%, were priced using non-binding broker-dealer quotes. Of the $23.8 billion of financial assets and liabilities measured at fair value at December 31, 2022, approximately $13 million, or 0.1%, were priced using non-binding broker-dealer quotes.
Fixed maturities
The Company uses the market approach valuation technique to estimate the fair value of its fixed maturity securities, when possible. The market approach includes obtaining prices from independent pricing services, such as index providers and pricing vendors, as well as to a lesser extent quotes from broker-dealers. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. Each source has its own proprietary method for determining the fair value of securities that are not actively traded. In general, these methods involve the use of “matrix pricing” in which the independent pricing source uses observable market inputs including, but not limited to, investment yields, credit risks and spreads, benchmarking of like securities, broker-dealer quotes, reported trades and sector groupings to determine a reasonable fair value. The following describes the significant inputs generally used to determine the fair value of the Company’s fixed maturity securities by asset class:
U.S. government and government agencies – valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The Company determined that all U.S. Treasuries would be classified as Level 1 securities due to observed levels of trading activity, the high number of strongly correlated pricing quotes received on U.S. Treasuries and other factors. The fair values of U.S. government agency securities are generally determined using the spread above the risk-free yield curve. As the yields for the risk-free yield curve and the spreads for these securities are observable market inputs, the fair values of U.S. government agency securities are classified within Level 2.
Corporate bonds – valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined using the spread above the risk-free yield curve. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for corporate bonds are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities. As the significant inputs used to price these securities are unobservable, the fair value of such securities are classified as Level 3.
Residential mortgage-backed securities – valuations provided by independent pricing services, substantially all through pricing vendors and index providers with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the expected average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. The pricing services also review prepayment speeds and other indicators, when applicable. As the significant inputs used in the pricing process for mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2.
Municipal bonds – valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally determined using spreads obtained from broker-dealers who trade in the relevant security market, trade prices and the new issue market. As the significant inputs used in the pricing process for municipal bonds are observable market inputs, the fair value of these securities are classified within Level 2.

Commercial mortgage-backed securities – valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for commercial mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2.
Non-U.S. government securities – valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally based on international indices or valuation models which include daily observed yield curves, cross-currency basis index spreads and country credit spreads. As the significant inputs used in the pricing process for non-U.S. government securities are observable market inputs, the fair value of these securities are classified within Level 2.
Asset-backed securities – valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for asset-backed securities are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to a low level of transparency on the inputs used in the pricing process.
Equity securities
The Company determined that exchange-traded equity securities would be included in Level 1 as their fair values are based on quoted market prices in active markets. Other equity securities are included in Level 2 of the valuation hierarchy. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities. As the significant inputs used to price these securities are unobservable, the fair value of such securities are classified as Level 3.
Other investments
The Company determined that exchange-traded investments would be included in Level 1 as their fair values are based on quoted market prices in active markets. Other investments also include term loan investments for which fair values are estimated by using quoted prices of term loan investments with similar characteristics, pricing models or matrix pricing. Such investments are generally classified within Level 2. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities.
Derivative instruments
The Company’s futures contracts, foreign currency forward contracts, interest rate swaps and other derivatives trade in the over-the-counter derivative market. The Company uses the market approach valuation technique to estimate the fair value for these derivatives based on significant observable market inputs from third party pricing vendors, non-binding broker-dealer quotes and/or recent trading activity. As the significant inputs used in the pricing process for these derivative instruments are observable market inputs, the fair value of these securities are classified within Level 2.
Short-term investments
The Company determined that certain of its short-term investments held in highly liquid money market-type funds, Treasury bills and commercial paper would be included in Level 1 as their fair values are based on quoted market prices in active markets. The fair values of certain short-term investments are generally determined using the spread above the risk-free yield curve and are classified within Level 2. Other short-term investments are included in Level 3 due to the lack of an available independent price source for such securities. As the significant inputs used to price these short-term securities are unobservable, the fair value of such securities are classified as Level 3.

Residential mortgage loans
The Company’s residential mortgage loans (included in ‘other assets’ in the consolidated balance sheets) include amounts related to the Company’s whole mortgage loan purchase and sell program. Fair values of residential mortgage loans are generally determined based on market prices. As significant inputs used in pricing process for these residential mortgage loans are observable market inputs, the fair value of these securities are classified within Level 2.
Other liabilities
The Company’s other liabilities include contingent and deferred consideration liabilities related to the Company’s acquisitions. Contingent consideration liabilities are remeasured at fair value at each balance sheet date with changes in fair value recognized in ‘net realized gains (losses).’ To determine the fair value of contingent consideration liabilities, the Company estimates the future payments using an income approach based on modeled inputs which include a weighted average cost of capital. Deferred consideration liabilities are measured at fair value on the transaction date. The Company determined that contingent and deferred consideration liabilities would be included within Level 3.

The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2023:
Fair Value Measurement Using:
Estimated
Fair Value
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Other Observable Inputs
(Level 2)
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value:
Available for sale securities:
Fixed maturities:
Corporate bonds$10,855 $— $10,708 $147 
U.S. government and government agencies5,814 5,792 22 — 
Asset backed securities2,250 — 2,250 — 
Non-U.S. government securities2,062 — 2,062 — 
Commercial mortgage backed securities1,213 — 1,213 — 
Residential mortgage backed securities1,103 — 1,103 — 
Municipal bonds256 — 256 — 
Total23,553 5,792 17,614 147 
Short-term investments2,063 1,786 193 84 
Equity securities, at fair value1,186 1,151 30 
Derivative instruments (2)197 — 197 — 
Residential mortgage loans— — 
Fair value option:
Corporate bonds662 — 662 — 
Non-U.S. government bonds— — 
Asset backed securities— — 
U.S. government and government agencies13 13 — — 
Short-term investments21 — 11 10 
Equity securities— 
Other investments316 — 210 106 
Other investments measured at net asset value (1)1,461 
Total2,488 16 891 120 
Total assets measured at fair value$29,489 $8,745 $18,927 $356 
Liabilities measured at fair value:
Other liabilities$(22)$— $— $(22)
Derivative instruments (2)(119)— (119)— 
Total liabilities measured at fair value$(141)$— $(119)$(22)
(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2022:
Fair Value Measurement Using:
Estimated
Fair Value
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Other Observable Inputs
(Level 2)
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value:
Available for sale securities:
Fixed maturities:
Corporate bonds$8,020 $— $7,899 $121 
U.S. government and government agencies5,162 5,145 17 — 
Asset backed securities1,927 — 1,927 — 
Non-U.S. government securities2,313 — 2,313 — 
Commercial mortgage backed securities1,047 — 1,047 — 
Residential mortgage backed securities795 — 795 — 
Municipal bonds419 — 419 — 
Total19,683 5,145 14,417 121 
Equity securities, at fair value860 829 28 
Short-term investments1,332 1,198 134 — 
Derivative instruments (2)149 — 149 — 
Residential mortgage loans— — 
Fair value option:
Corporate bonds543 — 543 — 
Non-U.S. government bonds— — 
Asset backed securities— — 
U.S. government and government agencies— — 
Short-term investments33 32 — 
Equity securities14 10 — 
Other investments196 — 163 33 
Other investments measured at net asset value (1)847 
Total1,644 16 744 37 
Total assets measured at fair value$23,670 $7,188 $15,474 $161 
Liabilities measured at fair value:
Other liabilities$(14)$— $— $(14)
Derivative instruments (2)(76)— (76)— 
Total liabilities measured at fair value$(90)$— $(76)$(14)
(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
The following table presents a reconciliation of the beginning and ending balances for all financial assets and liabilities measured at fair value on a recurring basis using Level 3 inputs for 2023 and 2022:
Assets
Liabilities
Available For Sale
Fair Value Option
Fair Value
Structured Securities (1)
Corporate Bonds
Short-term
Investments
Other Investments
Short-term
Investments
Equity Securities
Equity Securities
Other
Liabilities
Year Ended December 31, 2023
Balance at beginning of year
$— $121 $— $33 $— $$$(14)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)
— — (5)— — — (1)
Included in other comprehensive income— (1)— — — — — — 
Purchases, issuances, sales and settlements
Purchases
— 111 84 107 11 — — 
Issuances
— — — — — — — (9)
Sales
— — — (10)— — — — 
Settlements
— (85)— (19)(1)— — 
Transfers in and/or out of Level 3
— — — — — — — — 
Balance at end of year
$— $147 $84 $106 $10 $$$(22)
Year Ended December 31, 2022
Balance at beginning of year
$$— $— $28 $— $$$(17)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)
(1)— — (1)— (1)— — 
Included in other comprehensive income— (1)— — — — — 
Purchases, issuances, sales and settlements
Purchases
— 150 — 12 — — — 
Issuances
— — — — — — — — 
Sales
(2)(6)— (3)— — — — 
Settlements
— (26)— (3)— — — 
Transfers in and/or out of Level 3
— — — — — — — 
Balance at end of year
$— $121 $— $33 $— $$$(14)
(1)    Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(2)    Gains or losses were included in net realized gains (losses).


Financial Instruments Disclosed, But Not Carried, At Fair Value
The Company uses various financial instruments in the normal course of its business. The carrying values of cash, accrued investment income, receivable for securities sold, certain other assets, payable for securities purchased and certain other liabilities approximated their fair values at December 31, 2023, due to their respective short maturities. As these financial instruments are not actively traded, their respective fair values are classified within Level 2.
At December 31, 2023, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $2.7 billion and had a fair value of $2.5 billion. At December 31, 2022, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $2.7 billion and had a fair value of $2.4 billion. The fair values of the senior notes were obtained from a third party pricing service and are based on observable market inputs. As such, the fair value of the senior notes is classified within Level 2.

Fair Value Measurements on a Non-Recurring Basis
The Company measures the fair value of certain assets on a non-recurring basis, generally quarterly, annually, or when events or changes in circumstances indicate that the carrying amount of the assets may not be recoverable. These assets include investments accounted for using the equity method, certain other investments, goodwill and intangible assets, and long-lived assets. The Company uses a variety of techniques to measure the fair value of these assets when appropriate, as described below:
Investments accounted for using the equity method. When the Company determines that the carrying value of these assets may not be recoverable, the Company records the assets at fair value with the loss recognized in income. In such cases, the Company measures the fair value of these assets using the techniques discussed above in “—Fair Value Measurements on a Recurring Basis.”
Goodwill and Intangible Assets. The Company tests goodwill and intangible assets annually for impairment whenever events or changes in circumstances indicate the carrying amount may not be recoverable. When the Company determines goodwill and intangible assets may be impaired, the Company uses techniques including discounted expected future cash flows, to measure fair value.
Long-Lived Assets. The Company tests its long-lived assets for impairment whenever events or changes in circumstances indicate the carrying amount of a long-lived asset may not be recoverable.
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Derivative Instruments
12 Months Ended
Dec. 31, 2023
Derivative Instruments and Hedging Activities Disclosure [Abstract]  
Derivative Instruments
The Company’s investment strategy allows for the use of derivative instruments. The Company’s derivative instruments are recorded on its consolidated balance sheets at fair value. The Company utilizes exchange traded U.S. Treasury note, Eurodollar and other futures contracts and commodity futures to manage portfolio duration or replicate investment positions in its portfolios and the Company routinely utilizes foreign currency forward contracts, currency options, index futures contracts and other derivatives as part of its total return objective. In addition, certain of the Company’s investments are managed in portfolios which incorporate the use of foreign currency forward contracts which are intended to provide an economic hedge against foreign currency movements.
In addition, the Company purchases to-be-announced mortgage backed securities (“TBAs”) as part of its investment strategy. TBAs represent commitments to purchase a future issuance of agency mortgage backed securities. For the period between purchase of a TBA and issuance of the underlying security, the Company’s position
is accounted for as a derivative. The Company purchases TBAs in both long and short positions to enhance investment performance and as part of its overall investment strategy.
The following table summarizes information on the fair values and notional values of the Company’s derivative instruments:
Estimated Fair Value
 Asset
Derivatives (1)
Liability Derivatives (1)Notional
Value (2)
December 31, 2023   
Futures contracts$139 $(61)$3,746 
Foreign currency forward contracts27 (32)1,224 
Other (3)31 (26)512 
Total$197 $(119)
December 31, 2022   
Futures contracts$51 $(17)$3,138 
Foreign currency forward contracts39 (35)1,136 
Other (3)59 (24)3,592 
Total$149 $(76)

(1)    The fair value of asset derivatives are included in ‘other assets’ and the fair value of liability derivatives are included in ‘other liabilities.’
(2)    Represents the absolute notional value of all outstanding contracts, consisting of long and short positions.
(3)    Includes swaps, options and other derivatives contracts.

The Company did not hold any derivatives which were designated as hedging instruments at December 31, 2023 or 2022.
The Company’s derivative instruments can be traded under master netting agreements, which establish terms that apply to all derivative transactions with a counterparty. In the event of a bankruptcy or other stipulated event of default, such agreements provide that the non-defaulting party may elect to terminate all outstanding derivative transactions, in which case all individual derivative positions (loss or gain) with a counterparty are closed out and netted and replaced with a single amount, usually referred to as the termination amount, which is expressed in a single currency. The resulting single net amount, where positive, is payable to the party “in-the-money” regardless of whether or not it is the defaulting party, unless the parties have agreed that only the non-defaulting party is entitled to receive a termination payment where the net amount is positive and is in its favor.
At December 31, 2023, $197 million and $119 million, respectively, of asset derivatives and liability derivatives were subject to a master netting agreement compared to $147 million and $73 million, respectively, at December 31, 2022. The remaining derivatives included in the table above were not subject to a master netting agreement.
Realized and unrealized contract gains and losses on the Company’s derivative instruments are reflected in ‘net realized gains (losses)’ in the consolidated statements of income, as summarized in the following table:
Derivatives not designated as hedging instruments
Year Ended December 31,
202320222021
Net realized gains (losses):
Futures contracts$49 $(86)$(16)
Foreign currency forward contracts21 (40)
Other(11)23 
Total$59 $(75)$(33)
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Variable Interest Entity and Noncontrolling Interests
12 Months Ended
Dec. 31, 2023
Variable Interest Entity and Noncontrolling Interest Disclosure [Abstract]  
Variable Interest Entity and Noncontrolling Interests
Somers Holdings Ltd.
In March 2014, the Company invested $100 million and acquired 2,500,000 common shares of Somers. Somers was considered a VIE and the Company concluded that it was the primary beneficiary of Somers. In the 2020 fourth quarter, Arch Capital, Somers and Greysbridge, a wholly-owned subsidiary of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by the Company, 30% by certain investment funds managed by Kelso and 30% by certain investment funds managed by Warburg. Based on the governing documents of Greysbridge, the Company concluded that, while it retains significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, the Company no longer consolidates the results of Somers in its consolidated financial statements and footnotes. The Company classifies its investment as ‘investments in operating affiliates’ on the Company’s balance sheets and is accounted for under the equity method.
The following table summarizes Somers’ cash flow from operating, investing and financing activities.
Year Ended December 31,
202320222021
Total cash provided by (used for):
Operating activities— — 47 
Investing activities— — 96 
Financing activities— — (2)
Redeemable noncontrolling interests
The following table sets forth activity in the redeemable noncontrolling interests:
December 31,
 2023

20222021
Balance, beginning of year$11 $$58 
Impact of deconsolidation of Somers— — (49)
Other(9)— 
Balance, end of year$$11 $
The portion of income or loss attributable to third party investors is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests’ as summarized in the table below:
December 31,
 202320222021
Amounts attributable to non-redeemable noncontrolling interests$— $— $(78)
Amounts attributable to redeemable noncontrolling interests(6)(4)
Net (income) loss attributable to noncontrolling interests$$(6)$(82)

Bellemeade Re
The Company has entered into aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the “Bellemeade Agreements”). At the time the Bellemeade Agreements were entered into, the applicability of the accounting guidance that addresses VIEs was evaluated. As a result of the evaluation of the Bellemeade Agreements, the Company concluded that these entities are VIEs. However, given that the ceding insurers do not have the unilateral power to direct those activities that are significant to their economic performance, the Company does not consolidate such entities in its consolidated financial statements. The reinsurance premium paid in regard to the Bellemeade Agreements is calculated by multiplying the outstanding reinsurance coverage amount at the beginning of the period by the coupon rate, which is the SOFR plus a contractual risk margin, less the actual investment income collected during the preceding month on the assets included in the underlying reinsurance trusts. In the event the assets included in the underlying reinsurance trusts (became severely impaired or worthless and the special purpose reinsurance companies were unable to meet their future obligations, the Company’s mortgage insurance subsidiaries would be liable to fulfill claim payments to policyholders. The Company’s maximum exposure to loss associated with these VIEs is determined as the amount of mortgage insurance claim payments on the insured policies, net of aggregate reinsurance payments previously received, up to the full aggregate excess of loss reinsurance coverage amounts.

December 31, 2023December 31, 2022
Bellemeade Entities
 (Issue Date)
Total VIE AssetsCoverage
Remaining from
Reinsurers (1)
Total VIE Assets
2017-1 Ltd. (Oct-17)$— $— $37 
2018-1 Ltd. (Apr-18) (2)— — 90 
2018-3 Ltd. (Oct-18)— — 199 
2019-1 Ltd. (Mar-19)71 — 108 
2019-2 Ltd. (Apr-19) (2)— — 325 
2019-3 Ltd. (Jul-19)99 — 223 
2019-4 Ltd. (Oct-19) (2)— — 266 
2020-2 Ltd. (Sep-20) (2)— — 105 
2020-3 Ltd. (Nov-20) (2)— — 244 
2020-4 Ltd. (Dec-20) (2)— — 98 
2021-1 Ltd. (Mar-21) (2)— — 467 
2021-2 Ltd. (Jun-21) (2)— — 458 
2021-3 Ltd. (Sep-21)429 112 490 
2022-1 Ltd. (Jan-22)256 26 284 
2022-2 Ltd. (Sep-22)201 126 201 
2023-1 Ltd. (Oct-23)186 47 
Total$1,242 $311 $3,595 
(1) Coverage from a separate panel of reinsurers remaining at December 31, 2023.
(2) Agreements terminated in the 2023 fourth quarter.
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Other Comprehensive Income
12 Months Ended
Dec. 31, 2023
Comprehensive Income Note Disclosure [Abstract]  
Other Comprehensive Income (Loss)
The following table presents the changes in each component of AOCI, net of noncontrolling interests:
Unrealized Appreciation on Available-For-Sale InvestmentsForeign Currency Translation AdjustmentsTotal
Year Ended December 31, 2023
Beginning balance$(1,512)$(134)$(1,646)
Other comprehensive income (loss) before reclassifications547 23 570 
Amounts reclassified from accumulated other comprehensive income400 — 400 
Net current period other comprehensive income (loss)947 23 970 
Ending balance$(565)$(111)$(676)
Year Ended December 31, 2022
Beginning balance$13 $(78)$(65)
Other comprehensive income (loss) before reclassifications(1,772)(56)(1,828)
Amounts reclassified from accumulated other comprehensive income247 — 247 
Net current period other comprehensive income (loss)(1,525)(56)(1,581)
Ending balance$(1,512)$(134)$(1,646)
Year Ended December 31, 2021
Beginning balance$501 $(12)$489 
Other comprehensive income (loss) before reclassifications(371)(66)(437)
Amounts reclassified from accumulated other comprehensive income(117)— (117)
Net current period other comprehensive income (loss)(488)(66)(554)
Ending balance$13 $(78)$(65)
The following tables present details about amounts reclassified from accumulated other comprehensive income and the tax effects allocated to each component of other comprehensive income (loss):
Consolidated Statement of IncomeAmounts Reclassified from AOCI
Details AboutLine Item That IncludesYear Ended December 31,
 AOCI ComponentsReclassification202320222021
Unrealized appreciation on available-for-sale investments
Net realized gains (losses)$(431)$(235)$157 
Provision for credit losses(44)(2)
Total before tax(428)(279)155 
Income tax (expense) benefit28 32 (38)
Net of tax$(400)$(247)$117 
Following are the related tax effects allocated to each component of other comprehensive income (loss):
Before TaxTax ExpenseNet of Tax
Amount(Benefit)Amount
Year Ended December 31, 2023
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$617 $70 $547 
Less reclassification of net realized gains (losses) included in net income(428)(28)(400)
Foreign currency translation adjustments23 — 23 
Other comprehensive income (loss)$1,068 $98 $970 
Year Ended December 31, 2022
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$(2,009)$(237)$(1,772)
Less reclassification of net realized gains (losses) included in net income(279)(32)(247)
Foreign currency translation adjustments(56)— (56)
Other comprehensive income (loss)$(1,786)$(205)$(1,581)
Year Ended December 31, 2021
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$(408)$(22)$(386)
Less reclassification of net realized gains (losses) included in net income155 38 117 
Foreign currency translation adjustments(65)— (65)
Other comprehensive income (loss)$(628)$(60)$(568)
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Earnings Per Common Share
12 Months Ended
Dec. 31, 2023
Earnings Per Share [Abstract]  
Earnings Per Common Share
The calculation of basic earnings per common share is computed by dividing income available to Arch common shareholders by the weighted average number of Common Shares and common share equivalents outstanding. The following table sets forth the computation of basic and diluted earnings per common share:
Year Ended December 31,
202320222021
Numerator:
Net income$4,442 $1,482 $2,239 
Amounts attributable to noncontrolling interests(6)(82)
Net income available to Arch4,443 1,476 2,157 
Preferred dividends(40)(40)(48)
Loss on redemption of preferred shares— — (15)
Net income available to Arch common shareholders$4,403 $1,436 $2,094 
Denominator:
Weighted average common shares outstanding368.7 368.6 391.7 
Effect of dilutive common share equivalents:
Nonvested restricted shares2.5 2.1 2.0 
Stock options (1)7.6 6.9 6.6 
Weighted average common shares and common share equivalents outstanding – diluted378.8 377.6 400.3 
Earnings per common share:
Basic$11.94 $3.90 $5.35 
Diluted$11.62 $3.80 $5.23 
(1)    Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For 2023, 2022 and 2021, the number of stock options excluded were 0.5 million, 0.8 million and 2.4 million, respectively.
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Income Taxes
12 Months Ended
Dec. 31, 2023
Income Tax Disclosure [Abstract]  
Income Taxes
Arch Capital is incorporated under the laws of Bermuda and, under current Bermuda law, is not obligated to pay any taxes in Bermuda based upon income or capital gains. The Company has received a written undertaking from the Minister of Finance in Bermuda under the Exempted Undertakings Tax Protection Act 1966 assuring that, in the event that any legislation is enacted in Bermuda imposing any tax computed on profits, income, gain or appreciation on any capital asset, or any tax in the nature of estate duty or inheritance tax, such tax will not be applicable to Arch Capital or any of its operations until March 31, 2035. However, on December 27, 2023, the Government of Bermuda enacted the Bermuda CIT Act, which will become effective for tax years beginning on or after January 1, 2025. Given the potential for the new corporate income tax regime in Bermuda to supersede the Minister of Finance’s assurance, the Company is likely to become subject to taxes in Bermuda before March 31, 2035.
The Bermuda CIT Act will apply a 15% corporate income tax to certain Bermuda constituent entities of multi-national
groups in fiscal years beginning on or after January 1, 2025. The act includes a provision referred to as the economic transition adjustment, which is intended to provide a fair and equitable transition into the tax regime. Pursuant to this legislation, the Company recorded a $1.18 billion net deferred income tax asset in the fourth quarter of 2023, expected to be utilized predominantly over a 10-year period. The Company expects to incur and pay increased taxes in Bermuda beginning in 2025.
Arch Capital and its non-U.S. subsidiaries will be subject to U.S. federal income tax only to the extent that they derive U.S. source income that is subject to U.S. withholding tax, or income that is effectively connected with the conduct of a trade or business within the U.S. and is not exempt from U.S. tax under an applicable income tax treaty with the U.S., or because a non-U.S. subsidiary has elected to be treated as a U.S. taxpayer. Arch Capital and its non-U.S. subsidiaries will be subject to a withholding tax on dividends from U.S. investments and interest from certain U.S. payors (subject to reduction by any applicable income tax treaty). Arch Capital and its non-U.S. subsidiaries intend to conduct their operations in a manner that will not cause them to be treated as engaged in a trade or business in the United States and, therefore, will not be required to pay U.S. federal income
taxes (other than U.S. excise taxes on insurance and reinsurance premium and withholding taxes on dividends and certain other U.S. source investment income). However, because there is uncertainty as to the activities which constitute being engaged in a trade or business within the United States, there can be no assurances that the U.S. Internal Revenue Service will not contend successfully that Arch Capital, or its non-U.S. subsidiaries that do not elect to become U.S. taxpayers, are engaged in a trade or business in the United States. If Arch Capital or any of its non-U.S. subsidiaries were subject to U.S. income tax, Arch Capital’s shareholders’ equity and earnings could be materially adversely affected. Arch Capital has subsidiaries and branches that operate in various jurisdictions around the world that are subject to tax in the jurisdictions in which they operate. The significant jurisdictions in which Arch Capital’s subsidiaries and branches are subject to tax are the United States, United Kingdom, Ireland, Canada, Switzerland, Australia and Denmark.
The components of income taxes attributable to operations were as follows:
Year Ended December 31,
202320222021
Current expense (benefit):
United States$251 $195 $284 
Non-U.S.37 11 
288 201 295 
Deferred expense (benefit):
United States(20)(96)(123)
Non-U.S.(1,141)(25)(44)
(1,161)(121)(167)
Income tax expense (benefit)$(873)$80 $128 
The Company’s income or loss before income taxes was earned in the following jurisdictions:
Year Ended December 31,
202320222021
Income (Loss) Before Income Taxes:
Bermuda$2,099 $986 $1,519 
United States1,239 401 643 
Other232 175 206 
Total$3,570 $1,562 $2,368 
The expected tax provision computed on pre-tax income or loss at the weighted average tax rate has been calculated as the sum of the pre-tax income in each jurisdiction multiplied by that jurisdiction’s applicable statutory tax rate. The 2023 applicable statutory tax rates by jurisdiction were as follows: Bermuda (0.0%), United States (21.0%), United Kingdom (25.0%), Ireland (12.5%), Denmark (22.0%), Canada (26.5%), Gibraltar (12.5%), Australia (30.0%), Hong Kong (16.5%) and the Netherlands (25.8%).
A reconciliation of the difference between the provision for income taxes and the expected tax provision at the weighted average tax rate follows:
Year Ended December 31,
202320222021
Expected income tax expense (benefit) computed on pre-tax income at weighted average income tax rate$300 $110 $158 
Addition (reduction) in income tax expense (benefit) resulting from:
Investment income(14)(13)(24)
State taxes, net of U.S. federal tax benefit11 21 
Dividend withholding taxes11 12 
Change in valuation allowance(23)(40)
Base eroding tax— 
Share based compensation(13)(9)(5)
Tax credits(3)(10)— 
Change in tax rate(1,179)(5)— 
Other— 
Income tax expense (benefit)$(873)$80 $128 
The effect of a change in tax laws or rates on deferred income tax assets and liabilities is recognized in income in the period in which such change is enacted.
Deferred income tax assets and liabilities reflect temporary differences based on enacted tax rates between the carrying amounts of assets and liabilities for financial reporting and income tax purposes.

Significant components of the Company’s deferred income tax assets and liabilities were as follows:
December 31,
20232022
Deferred income tax assets:
Net operating loss$93 $77 
Discounting of net loss reserves219 78 
Net unearned premium reserve133 97 
Compensation liabilities64 55 
Foreign tax credit carryforward16 17 
Goodwill and intangible assets1,020 — 
Bad debt reserves16 17 
Depreciation and amortization133 141 
Lease liability31 27 
Net unrealized decline of investments89 193 
Lloyds year of account deferral— 
Fair value adjustment to senior notes41 — 
Other, net13 11 
Deferred income tax assets before valuation allowance1,868 714 
Valuation allowance(15)(7)
Deferred income tax assets net of valuation allowance1,853 707 
Deferred income tax liabilities:
Goodwill and intangibles— (39)
Lloyds year of account deferral(13)— 
Contingency reserve(50)(44)
Deferred policy acquisition costs(144)(64)
Investment related(13)(9)
Right-of-use asset(24)(21)
Total deferred income tax liabilities(245)(177)
Net deferred income tax assets$1,608 $530 
The Company provides a valuation allowance to reduce the net value of certain deferred income tax assets to an amount which management expects to more likely than not be realized. As of December 31, 2023, the Company’s valuation allowance was $15 million, compared to $7 million at December 31, 2022. The valuation allowance at December 31, 2023, was primarily attributable to valuation allowances on the Company’s Australia, Gibraltar and Hong Kong operations and certain other deferred income tax assets relating to tax attributes that have a limited use.
At December 31, 2023, the Company’s net operating loss carryforwards and tax credits were as follows:
Year Ended December 31,
2023
Expiration
Operating Loss Carryforwards
United Kingdom$198 No expiration
Ireland24 No expiration
Australia47 No expiration
Hong Kong32 No expiration
Gibraltar24 No expiration
CyprusNo expiration
United States (1)78 
2029 - 2038
Tax Credits
U.K. foreign tax credits10 No expiration
U.S. foreign tax credits2029 - 2033
(1) The Company’s U.S. operations have recorded $78 million of net operating loss (“NOL”) carryforwards that are subject to annual usage limitations under Section 382 of the Internal Revenue Code (“the Code”). The NOL limitations are related to acquisitions of the CMG entities in January 2014, Ventus Risk Management Inc. in August 2019, and Verifly Insurance Services, LLC, and Verifly USA Inc. in April 2023. In accordance with Section 382 of the Code, utilization of the acquired NOLs is limited to approximately $2 million per year through December 31, 2027, approximately $1 million through December 31, 2038, and $0.3 million thereafter.
The Company’s U.S. mortgage operations are eligible for a tax deduction, subject to certain limitations, under Section 832(e) of the Code for amounts required by state law or regulation to be set aside in statutory contingency reserves. The deduction is allowed only to the extent that the Company purchases non-interest bearing U.S. Mortgage Guaranty Tax and Loss Bonds (“T&L Bonds”) issued by the U.S. Treasury Department in an amount equal to the tax benefit derived from deducting any portion of the statutory contingency reserves. T&L Bonds are reflected in ‘other assets’ on the Company’s balance sheet and totaled approximately $42 million at December 31, 2023, compared to $12 million at December 31, 2022.
Deferred income tax liabilities have not been accrued with respect to the undistributed earnings of the Company's U.S., U.K. and Ireland subsidiaries as it is the Company’s intention that all such earnings will be indefinitely reinvested. If the earnings were to be distributed, as dividends or otherwise, such amounts may be subject to withholding tax in the jurisdiction of the paying entity. The Company does not intend to indefinitely reinvest earnings from the Company's Canada subsidiary, however, no income or withholding taxes have been accrued as the Canada subsidiary does not have positive cumulative earnings and profits and therefore a distribution from this particular subsidiary would not be subject to income taxes or withholding taxes. Potential tax implications of repatriation from the Company’s unremitted earnings that are indefinitely reinvested are driven by facts at
the time of distribution. Therefore, it is not practicable to estimate the income tax liabilities that might be incurred if such earnings were remitted. Distributions from the U.K. or Ireland would not be subject to withholding tax and no deferred income tax liability would need to be accrued.
The Company recognizes interest and penalties relating to unrecognized tax benefits in the provision for income taxes. As of December 31, 2023, the Company’s total unrecognized tax benefits, including interest and penalties, were $2 million. If recognized, the full amount of the unrecognized tax benefit would impact the consolidated effective tax rate. A reconciliation of the beginning and ending amount of unrecognized tax benefits is as follows:
December 31,
20232022
Balance at beginning of year$$
Additions based on tax positions related to the current year— — 
Additions for tax positions of prior years— — 
Reductions for tax positions of prior years— — 
Settlements— — 
Balance at end of year$$
The Company, its subsidiaries and branches file income tax returns in various federal, state and local jurisdictions. The following table details open tax years that are potentially subject to examination by local tax authorities, in the following major jurisdictions:
JurisdictionTax Years
United States
2019-2023
United Kingdom
2021-2023
Ireland
2018-2023
Canada
2019-2023
Switzerland
2019-2023
Denmark
2019-2023
Australia
2019-2023
As of December 31, 2023, the Company’s current income tax recoverable (included in “Other liabilities”) was $20 million.
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Transactions with Related Parties
12 Months Ended
Dec. 31, 2023
Related Party Transactions [Abstract]  
Transactions with Related Parties
In 2017, the Company acquired approximately 25% of Premia Holdings Ltd. Premia Holdings Ltd. is the parent of Premia Reinsurance Ltd., a multi-line Bermuda reinsurance company (together with Premia Holdings Ltd., “Premia”). Premia’s strategy is to reinsure or acquire companies or reserve portfolios in the non-life property and casualty insurance and reinsurance run-off market. Arch Re Bermuda and certain Arch co-investors invested $100 million and acquired approximately 25% of Premia as well as warrants to purchase additional common equity. Arch has appointed two directors to serve on the seven person board of directors of Premia. Arch Re Bermuda is providing a quota share
reinsurance treaty on certain business written by Premia, and subsidiaries of Arch Capital are providing certain administrative and support services to Premia, in each case pursuant to separate multi-year agreements. During 2023, the Company entered into certain reinsurance transactions with Premia which generated net premiums written and earned of $80 million and $81 million, respectively, compared to $121 million and $120 million of net premiums written and earned, respectively in 2022. At December 31, 2023, the Company recorded a funds held asset from Premia of $158 million, compared to $119 million at December 31, 2022.
In the 2021 first quarter, as part of the Company’s acquisition of Barbican, the Company entered into an agreement with Premia Managing Agency Limited for the reinsurance to close of Syndicate 1955’s 2018 underwriting year of account into Premia Syndicate 1884’s 2021 underwriting year of account. The reinsurance to close covers legacy business underwritten by Syndicate 1955 on the underwriting 2018 and prior years of account and under the agreement, approximately $380 million of net liabilities was transferred to Syndicate 1884, with an effective date of January 1, 2021. The Company had no reinsurance recoverable on unpaid and paid losses or funds held liability at December 31, 2023 and December 31, 2022.
In July 2021, following consummation of the Merger Agreement and the related Greysbridge equity financing, pursuant to which Somers became wholly owned by Greysbridge, and Greysbridge is owned 40% by the Company, 30% by certain funds managed by Kelso and 30% by certain funds managed by Warburg. During 2023 and 2022 periods, the Company entered into certain reinsurance transactions with Somers which reduced the Company’s net premiums written by $574 million and $519 million, respectively. In addition, Somers paid certain acquisition costs and administrative fees to the Company. At December 31, 2023, the Company recorded a reinsurance recoverable on unpaid and paid losses from Somers of $1.3 billion and a reinsurance balance payable to Somers of $475 million. At December 31, 2022, reinsurance recoverable on unpaid and paid losses from Somers was $1.2 billion, with a reinsurance balance payable to Somers of $414 million. See note 12, “Variable Interest Entity and Noncontrolling Interests.”
The Company has a put/call option that was entered into in connection with the Greysbridge equity financing, whereby beginning January 1, 2024 the Company will have a call right (but not the obligation) and Warburg and Kelso will each have a put right (but not the obligation) to buy/sell one third of their initial shares annually at the tangible book value per share of Greysbridge for the most recently ended fiscal quarter.
As of December 31, 2023, the Company owns $35 million in aggregate principal amount of Somers 6.5% senior notes, due July 2, 2029
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Leases
12 Months Ended
Dec. 31, 2023
Leases [Abstract]  
Leases
In the ordinary course of business, the Company renews and enters into new leases for office property and equipment. At the lease inception date, the Company determines whether a contract contains a lease and its classification as a finance or operating lease. Primarily all of the Company’s leases are classified as operating leases. The Company’s operating leases have remaining lease terms of up to 14 years, some of which include options to extend the lease term. The Company considers these options when determining the lease term and measuring its lease liability and right-of-use asset. In addition, the Company’s lease agreements do not contain any material residual value guarantees or material restrictive covenants.
Short-term operating leases with an initial term of twelve months or less were excluded on the Company's consolidated balance sheet and represent an inconsequential amount of operating lease expense.
As most leases do not provide an implicit rate, the Company uses its incremental borrowing rate based on the information available at the lease commencement date in determining the present value of lease payments.
Additional information regarding the Company’s operating leases is as follows:
December 31,
20232022
Operating lease costs$33 $34 
Sublease income (1)$(2)$(1)
Cash payments included in the measurement of lease liabilities reported in operating cash flows$31 $26 
Right-of-use assets obtained in exchange for new lease liabilities$28 $43 
Right-of-use assets (2)$125 $123 
Operating lease liability (2)$156 $152 
Weighted average discount rate4.7 %4.2 %
Weighted average remaining lease term7.2 years6.6 years
(1)    The sublease income primarily relates to office property in Raleigh, North Carolina.
(2)    The right-of-use assets are included in ‘other assets’ while the operating lease liability is included in ‘other liabilities.’
The following table presents the contractual maturities of the Company's operating lease liabilities at December 31, 2023:
Years Ending December 31,
2024$32 
202527 
202626 
202722 
202819 
2029 and thereafter60 
Total undiscounted lease liability$186 
Less: present value adjustment(30)
Operating lease liability$156 

Rental expense was approximately $38 million, $39 million and $37 million for 2023, 2022 and 2021, respectively.
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Commitments and Contingencies
12 Months Ended
Dec. 31, 2023
Commitments and Contingencies Disclosure [Abstract]  
Commitments and Contingencies
Concentrations of Credit Risk
The creditworthiness of a counterparty is evaluated by the Company, taking into account credit ratings assigned by independent agencies. The credit approval process involves an assessment of factors, including, among others, the counterparty, country and industry credit exposure limits. Collateral may be required, at the discretion of the Company, on certain transactions based on the creditworthiness of the counterparty.
The areas where significant concentrations of credit risk may exist include unpaid losses and loss adjustment expenses recoverable, contractholder receivables, ceded unearned premiums, paid losses and loss adjustment expenses recoverable net of reinsurance balances payable, investments and cash and cash equivalent balances. A credit exposure exists with respect to reinsurance recoverables as they may become uncollectible. The Company manages its credit risk in its reinsurance relationships by transacting with reinsurers that it considers financially sound and, if necessary, the Company may hold collateral in the form of funds, trust accounts and/or irrevocable letters of credit. This collateral can be drawn on for amounts that remain unpaid beyond specified time periods on an individual reinsurer basis. In addition, certain insurance policies written by the Company’s insurance operations feature large deductibles, primarily in its construction and national accounts lines of business. Under such contracts, the Company is obligated to pay the claimant for the full amount of the claim. The Company is subsequently reimbursed by the policyholder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet in contractholder payables and contractholder receivables, respectively. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such
defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the policyholder to mitigate the Company’s credit risk. In the instances where the company receives collateral in the form of cash, the Company records a related liability in “Collateral held for insured obligations.”
In addition, the Company underwrites a significant amount of its business through brokers and a credit risk exists should any of these brokers be unable to fulfill their contractual obligations with respect to the payments of insurance and reinsurance balances owed to the Company. The following table summarizes the percentage of the Company’s gross premiums written generated from or placed by the largest brokers:
Broker

Year Ended December 31,

202320222021
Marsh & McLennan Companies and its subsidiaries19.0 %17.3 %18.3 %
Aon Corporation and its subsidiaries13.9 %13.8 %12.2 %
No other broker and no one insured or reinsured accounted for more than 10% of gross premiums written for 2023, 2022 and 2021.
The Company’s available for sale investment portfolio is managed in accordance with guidelines that have been tailored to meet specific investment strategies, including standards of diversification, which limit the allowable holdings of any single issue. There were no investments in any entity in excess of 10% of the Company’s shareholders’ equity at December 31, 2023 other than investments issued or guaranteed by the United States government or its agencies.
Investment Commitments
The Company’s investment commitments, which are primarily related to agreements entered into by the Company to invest in funds and separately managed accounts when called upon, were approximately $3.6 billion and $2.9 billion at December 31, 2023 and 2022, respectively.
Purchase Obligations
The Company has also entered into certain agreements which commit the Company to purchase goods or services, primarily related to software and computerized systems. Such purchase obligations were approximately $148 million and $150 million at December 31, 2023 and 2022, respectively.
Employment and Other Arrangements
At December 31, 2023, the Company has entered into employment agreements with certain of its executive officers. Such employment arrangements provide for compensation in the form of base salary, annual bonus, share-based awards, participation in the Company’s employee benefit programs and the reimbursements of expenses.
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Debt and Financing Arrangements
12 Months Ended
Dec. 31, 2023
Debt Disclosure [Abstract]  
Debt and Financing Arrangements
The Company’s senior notes payable at December 31, 2023 and 2022 were as follows:
Carrying Amount at
InterestPrincipal
December 31,
(Fixed)Amount20232022
2034 notes (1)7.350 %$300 $298 $298 
2043 notes (2)5.144 %500 495 495 
2026 notes (3)4.011 %500 498 498 
2046 notes (4)5.031 %450 446 445 
2050 notes (5)3.635 %1,000 989 989 
$2,750 $2,726 $2,725 
(1) Senior notes of Arch Capital issued on May 4, 2004 and due May 1, 2034 (“2034 notes”).
(2) Senior notes of Arch-U.S., a wholly-owned subsidiary of Arch Capital, issued on December 13, 2013 and due November 1, 2043 (“2043 notes”), fully and unconditionally guaranteed by Arch Capital.
(3) Senior notes of Arch Capital Finance LLC (“Arch Finance”), a wholly-owned finance subsidiary of Arch Capital, issued on December 8, 2016 and due December 15, 2026 (“2026 notes”), fully and unconditionally guaranteed by Arch Capital.
(4) Senior notes of Arch Finance issued on December 8, 2016 and due December 15, 2046 (“2046 notes”), fully and unconditionally guaranteed by Arch Capital
(5) Senior notes of Arch Capital issued on June 30, 2020 and due June 30, 2050 (“2050 notes”).
The 2034 notes are Arch Capital’s senior unsecured obligations and rank equally with all of its existing and future senior unsecured indebtedness. Interest payments on the 2034 notes are due on May 1st and November 1st of each year. Arch Capital may redeem the 2034 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
The 2043 notes are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital, respectively. Interest payments on the 2043 notes are due on May 1st and November 1st of each year. Arch-U.S. may redeem the 2043 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
The 2026 notes are unsecured and unsubordinated obligations of Arch Finance and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital, respectively. Interest payments on the 2026 notes are due on June 15th and December 15th of each year. Arch Finance may redeem the 2026 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
The 2046 notes are unsecured and unsubordinated obligations of Arch Finance and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital, respectively. Interest payments on the 2046 notes are due on June 15th and December 15th of each year. Arch Finance may redeem the 2046 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
The 2050 notes are Arch Capital’s senior unsecured obligations and rank equally with all of its existing and future senior unsecured indebtedness. Interest payments on the 2050 notes are due on June 30 and December 30 of each year. Arch Capital may redeem the 2050 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
Letter of Credit and Revolving Credit Facilities
In the normal course of its operations, the Company enters into agreements with financial institutions to obtain secured and unsecured credit facilities. On August 23, 2023, Arch Capital and certain of its subsidiaries amended the existing credit agreement (the “Credit Facility”). The Credit Facility, as amended, consists of a $425 million secured facility for letters of credit (the “Secured Facility”) and a $500 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). At December 31, 2023, the Secured Facility had $273 million of letters of credit outstanding and remaining capacity of $152 million, and the Unsecured Facility had no outstanding revolving loans or letters of credit, with remaining capacity of $500 million.
The Credit Facility contains certain restrictive and maintenance covenants customary for facilities of this type, including restrictions on indebtedness, minimum consolidated tangible net worth, maximum leverage levels and minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the agreement were in compliance with all covenants contained therein at December 31, 2023.
Obligations of each borrower for letters of credit under the Secured Facility are secured by cash and eligible securities of such borrower and held in collateral accounts. Commitments under the Credit Facility may be increased up to, but not exceeding, an aggregate of $1.5 billion. Arch Capital has a
one-time option to convert any or all outstanding revolving loans of Arch Capital and/or Arch-U.S. to term loans with the same terms as the revolving loans except that any prepayments may not be re-borrowed. Borrowings of revolving loans may be made at a variable rate based on Secured Overnight Financing Rate (“SOFR”). Secured letters of credit are available for issuance on behalf of certain Arch Capital subsidiaries. Arch Capital guarantees the obligations of Arch-U.S. and Arch U.S. MI Holdings Inc., Arch-U.S. guarantees the obligations of Arch Capital, and Arch Capital Finance LLC guarantees the obligations of Arch Capital and Arch-U.S.
The commitments under the Credit Facility will expire on August 23, 2028, and all loans then outstanding under the Credit Facility must be repaid at such time. Letters of credit issued under the Credit Facility will not have an expiration date later than August 23, 2029.
On September 27, 2023, Arch Re Bermuda a wholly-owned subsidiary of Arch Capital, entered as the borrower into a Letter of Credit Facility Agreement with Lloyds Bank Corporate Markets plc. Such agreement provides for a $175 million unsecured facility for letters of credit with commitments expiring on September 27, 2025. At December 31, 2023, this facility had $114 million of letters of credit outstanding and remaining capacity of $61 million.
On October 25, 2023, Arch Re Bermuda entered into Amendment No. 3 and Joinder to a Letter of Credit Facility Agreement with Lloyds Bank Corporate Markets plc., which amends the agreement dated as of November 3, 2020, as amended on October 29, 2021 and as further amended on October 27, 2022. Such agreement provides for a $530 million facility for letters of credit in respect of Tier 2 Funds at Lloyds. As of December 31, 2023, $530 million face amount of letters of credit had been issued under this facility. The availability period ends on May 31, 2024.
In addition, certain of Arch Capital’s subsidiaries had outstanding secured letters of credit through other facilities of $38 million, which were issued in the normal course of business (“LOC Facilities”). The principal purpose of the LOC Facilities is to issue, as required, evergreen standby letters of credit in favor of primary insurance or reinsurance counterparties with which certain of Arch Capital’s subsidiaries has entered into reinsurance arrangements.
When issued, all secured letters of credit are secured by a portion of the investment portfolio. At December 31, 2023, these letters of credit were secured by investments with a fair value of $550 million. The Company had no outstanding revolving credit agreement borrowings at December 31, 2023 and 2022.
Federal Home Loan Bank Membership
Certain subsidiaries of the Company are members of Federal Home Loan Banks (“FHLBs”). Members may borrow from the FHLBs at competitive rates subject to certain conditions. Conditions include maintaining sufficient collateral deposits for funding and a requirement to hold stock in the FHLBs related to both membership and outstanding advances. At December 31, 2023 and 2022, the Company had no advances outstanding under the FHLB program.
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Goodwill and Intangible Assets
12 Months Ended
Dec. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Intangible Assets
The following table shows an analysis of goodwill and intangible assets:
GoodwillIntangible assets (indefinite life)Intangible assets (finite life)Total
Net balance at Dec. 31, 2021$345 $71 $529 $945 
Acquisitions (1)— — 
Amortization— — (106)(106)
Foreign currency movements and other adjustments(11)(2)(30)(43)
Net balance at Dec. 31, 2022342 69 393 804 
Acquisitions (1)— — 11 11 
Amortization— — (95)(95)
Impairment(2)— — (2)
Foreign currency movements and other adjustments13 
Net balance at Dec. 31, 2023$345 $70 $316 $731 
Gross balance at Dec. 31, 2023$348 $70 $1,105 $1,523 
Accumulated amortization— — (766)(766)
Foreign currency movements and other adjustments(3)— (23)(26)
Net balance at Dec. 31, 2023$345 $70 $316 $731 
The following table presents the components of goodwill and intangible assets:
Gross BalanceAccumulated
Amortization
Foreign Currency Translation Adjustment and OtherNet
Balance
Dec. 31, 2023
Acquired insurance contracts$452 $(441)$— $11 
Operating platform64 (54)— 10 
Distribution relationships594 (277)(23)294 
Goodwill348 — (3)345 
Insurance licenses48 — — 48 
Syndicate capacity22 — — 22 
Unfavorable service contract(10)10 — — 
Other(4)— 
Total$1,523 $(766)$(26)$731 
Dec. 31, 2022
Acquired insurance contracts$452 $(426)$(1)$25 
Operating platform53 (50)— 
Distribution relationships602 (208)(31)363 
Goodwill351 — (9)342 
Insurance licenses48 — — 48 
Syndicate capacity22 — (1)21 
Unfavorable service contract(10)10 — — 
Other(3)— 
Total$1,523 $(677)$(42)$804 
The estimated remaining amortization expense for the Company’s intangible assets with finite lives is as follows:
2024$77 
202546 
202634 
202731 
202829 
2029 and thereafter99 
Total$316 
The estimated remaining useful lives of these assets range from one to thirteen years at December 31, 2023.
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Shareholders' Equity
12 Months Ended
Dec. 31, 2023
Stockholders' Equity Note [Abstract]  
Shareholders' Equity
Authorized and Issued
The authorized share capital of Arch Capital consists of 1.8 billion Common Shares, par value of $0.0011 per share, and 50 million Preferred Shares, par value of $0.01 per share.
Common Shares
The following table presents a roll-forward of changes in Arch Capital’s issued and outstanding Common Shares:
Year Ended December 31,
202320222021
Common Shares:
Shares issued and outstanding, beginning of year588.3 583.3 579.0 
Shares issued (1)2.8 3.5 2.7 
Restricted shares issued, net of cancellations0.8 1.5 1.6 
Shares issued and outstanding, end of year591.9 588.3 583.3 
Common shares in treasury, end of year(218.5)(217.9)(204.4)
Shares issued and outstanding, end of year373.4 370.4 378.9 
(1)    Includes shares issued from the exercise of stock options and stock appreciation rights, the vesting of restricted share units and shares issued from the employee share purchase plan.
Share Repurchase Program
The Board of Directors of Arch Capital (the “Board”) has authorized the investment in Arch Capital’s common shares through a share repurchase program. At December 31, 2023, $1.0 billion of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through December 31, 2024. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations.
Repurchases of Arch Capital’s common shares in connection with the share repurchase plan and other share-based transactions were held in the treasury under the cost method, and the cost of the common shares acquired is included in ‘Common shares held in treasury, at cost.’ At December 31, 2023, Arch Capital held 218.5 million shares for an aggregate cost of $4.4 billion in treasury, at cost.
The Company’s repurchases under the share repurchase program were as follows:
Year Ended December 31,
202320222021
Aggregate cost of shares repurchased$— $586 $1,234 
Shares repurchased— 12.9 31.5 
Average price per share repurchased$— $45.44 $39.20 
Since the inception of the share repurchase program through December 31, 2023, Arch Capital has repurchased approximately 433.6 million common shares for an aggregate purchase price of $5.9 billion.
Series G Preferred Shares
In June 2021, Arch Capital completed a $500 million underwritten public offering of 20.0 million depositary shares
(the “Depositary Shares”), each of which represents a 1/1,000th interest in a share of its 4.55% Non-Cumulative Preferred Shares, Series G, $0.01 par value and $25,000 liquidation preference per share (equivalent to $25 liquidation preference per Depositary Share) (the “Series G Preferred Shares”). Each Depositary Share, evidenced by a depositary receipt, entitles the holder, through the depositary,
to a proportional fractional interest in all rights and preferences of the Series G Preferred Shares represented thereby (including any dividend, liquidation, redemption and voting rights).

Holders of Series G Preferred Shares will be entitled to receive dividend payments only when, as and if declared by the Board or a duly authorized committee of the Board. Any such dividends will be payable from, and including, the date of original issue on a noncumulative basis, quarterly in arrears on the last day of March, June, September and December of each year, at an annual rate of 4.55%. Dividends on the Series G Preferred Shares are not cumulative. The Company will be restricted from paying dividends on or repurchasing its common shares unless certain dividend payments are made on the Series G Preferred Shares. The Company may not declare or pay a dividend on the Series G Preferred Shares under certain circumstances, including if the Company is or, after giving effect to such payment, would be in breach of applicable individual or group solvency and liquidity requirements or applicable individual or group enhanced capital requirements (“ECR”). The Series G Preferred Shares may not be redeemed at any time if the ECR would be breached immediately before or after giving effect to such redemption, unless the Company replaces the capital represented by preference shares to be redeemed with capital having equal or better capital treatment.

Except in specified circumstances relating to certain tax or corporate events, the Series G Preferred Shares are not redeemable prior to June 11, 2026. On and after that date, the
Series G Preferred Shares will be redeemable at the Company’s option, in whole or in part, at a redemption price of $25,000 per share of the Series G Preferred Shares (equivalent to $25 per depositary share), plus any declared and unpaid dividends, without accumulation of any undeclared dividends to, but excluding, the redemption date. The Depositary Shares will be redeemed if and to the extent the related Series G Preferred Shares are redeemed by the Company. Neither the Depositary Shares nor the Series G Preferred Shares have a stated maturity, nor will they be subject to any sinking fund or mandatory redemption. The Series G Preferred Shares are not convertible into any other securities. The Series G Preferred Shares do not have voting rights, except under limited circumstances. The net proceeds from the Series G Preferred Share offerings were used to redeem the Company’s outstanding 5.25% Series E Non-Cumulative Preferred Shares.
Series F Preferred Shares
In August 2017 and November 2017, Arch Capital completed combined $330 million of underwritten public offerings ($230 million in August 2017 and $100 million in November 2017) of 13.2 million depositary shares (the “Series F Depositary Shares”), each of which represents a 1/1,000th interest in a share of its 5.45% Non-Cumulative Preferred Shares, Series F, with a $0.01 par value and $25,000 liquidation preference per share (equivalent to $25 liquidation preference per Series F Depositary Share) (the “Series F Preferred Shares”). Each Series F Depositary Share, evidenced by a depositary receipt, entitles the holder, through the depositary, to a proportional fractional interest in all rights and preferences of the Series F Preferred Shares represented thereby (including any dividend, liquidation, redemption and voting rights).
Holders of Series F Preferred Shares will be entitled to receive dividend payments only when, as and if declared by the Board or a duly authorized committee of the board. Any such dividends will be payable from, and including, the date of original issue on a noncumulative basis, quarterly in arrears on the last day of March, June, September and December of each year, at an annual rate of 5.45%. Dividends on the Series F Preferred Shares are not cumulative. The Company will be restricted from paying dividends on or repurchasing its common shares unless certain dividend payments are made on the Series F Preferred Shares.
Except in specified circumstances relating to certain tax or corporate events, the Series F Preferred Shares are not redeemable prior to August 17, 2022 (the fifth anniversary of the issue date). On and after that date, the Series F Preferred
Shares will be redeemable at the Company’s option, in whole or in part, at a redemption price of $25,000 per share of the Series F Preferred Shares (equivalent to $25 per depositary share), plus any declared and unpaid dividends, without accumulation of any undeclared dividends to, but excluding, the redemption date. The Series F Depositary Shares will be redeemed if and to the extent the related Series F Preferred Shares are redeemed by the Company. Neither the Series F Depositary Shares nor the Series F Preferred Shares have a stated maturity, nor will they be subject to any sinking fund or mandatory redemption. The Series F Preferred Shares are not convertible into any other securities. The Series F Preferred Shares will not have voting rights, except under limited circumstances. The net proceeds from the Series F Preferred Share offerings were used to redeem the Company’s outstanding 6.75% Series C Non-Cumulative Preferred Shares.
Series E Preferred Shares
In September, 2021, Arch Capital redeemed all outstanding 5.25% Series E non-cumulative preferred shares. The preferred shares were redeemed at a redemption price equal to $25 per share, plus all declared and unpaid dividends to (but excluding) the redemption date. In accordance with GAAP, following the redemption, original issuance costs related to such shares have been removed from additional paid-in capital and recorded as a “loss on redemption of preferred shares.” Such adjustment had no impact on total shareholders’ equity or cash flows.
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Share-Based Compensation
12 Months Ended
Dec. 31, 2023
Share-Based Payment Arrangement [Abstract]  
Share-Based Compensation
Long Term Incentive and Share Award Plans
The Company utilizes share-based compensation plans for officers, other employees and directors of Arch Capital and its subsidiaries to provide competitive compensation opportunities, to encourage long-term service, to recognize individual contributions and reward achievement of performance goals and to promote the creation of long-term value for shareholders by aligning the interests of such persons with those of shareholders.
The 2022 Long-Term Incentive and Share Award Plan (“the 2022 Plan”) became effective as of May 4, 2022 following approval by shareholders of the Company. The 2022 Plan provides for the issuance of stock options, stock appreciation rights, restricted shares, restricted share units payable in common shares or cash, dividend equivalents, performance shares and performance units and other share-based awards to Arch Capital’s eligible employees and directors. The number of common shares reserved for grants under the 2022 Plan, subject to anti-dilution adjustments in the event of certain changes in Arch Capital’s capital structure, is 9.0 million; provided that no more than 6.0 million common
shares may be issued as incentive stock options under Section 422 of the Code. The 2022 Plan will terminate as to future awards on February 25, 2032. At December 31, 2023, 7.8 million shares are available for future issuance.
The 2018 Long-Term Incentive and Share Award Plan (the “2018 Plan”) became effective as of May 9, 2018 following approval by shareholders of the Company. The 2018 Plan provides for the issuance of restricted stock units, performance units, restricted shares, performance shares, stock options and stock appreciation rights and other equity-based awards to our employees and directors. The 2018 Plan authorizes the issuance of 34.5 million common shares and will terminate as to future awards on February 28, 2028. At December 31, 2023, 5.8 million shares are available for future issuance.
Upon shareholder approval on May 4, 2023, the Amended and Restated Arch Capital Group Ltd. 2007 Employee Share Purchase Plan (the “ESPP”) became effective. The total common shares that may be purchased under the ESPP was increased by 3.0 million shares for a total of 12.8 million shares authorized. The purpose of the ESPP is to give employees of the Company an opportunity to purchase common shares through payroll deductions, thereby encouraging employees to share in the economic growth and success of the Company. The ESPP is designed to qualify as an “employee share purchase plan” under Section 423 of the Internal Revenue Code of 1986, as amended. At December 31, 2023, 3.6 million shares remain available for issuance.
Stock Options and Stock Appreciation Rights
The Company generally issues stock options and SARs to eligible employees, with exercise prices equal to the fair market values of the Company’s Common Shares on the grant dates. Such grants generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date.
The grant date fair value is determined using the Black-Scholes option valuation model. The expected life assumption is based on an expected term analysis, which incorporates the Company’s historical exercise experience. Expected volatility is based on the Company’s daily historical trading data of its common shares. The table below summarizes the assumptions used.
Year Ended December 31,
202320222021
Dividend yield— %— %— %
Expected volatility25.1 %24.0 %24.2 %
Risk free interest rate4.1 %2.0 %1.0 %
Expected option life6.0 years6.0 years6.0 years
A summary of stock option and SAR activity under the Company’s Long Term Incentive and Share Award Plans during 2023 is presented below:
Year Ended December 31, 2023
Number of
Options / SARs
Weighted Average Exercise PriceWeighted Average Contractual TermAggregate Intrinsic Value
Outstanding, beginning of year14,420,901 $28.17 
Granted479,760 $69.24 
Exercised(2,355,729)$20.66 
Forfeited or expired(8,339)$48.38 
Outstanding, end of year12,536,593 $31.14 4.10$541 
Exercisable, end of year11,205,102 $28.68 3.61$511 
The aggregate intrinsic value of stock options and SARs exercised represents the difference between the exercise price of the stock options and SARs and the closing market price of the Company’s common shares on the exercise dates. During 2023, the Company received proceeds of $20 million from the exercise of stock options and recognized a tax benefit of $9 million from the exercise of stock options and SARs.
Year Ended December 31,
202320222021
Weighted average grant date fair value$23.50 $13.26 $9.22 
Aggregate intrinsic value of Options/SARs exercised (in millions)$116 $113 $47 
Restricted Common Shares and Restricted Units
The Company also issues restricted share and unit awards to eligible employees and directors, for which the fair value is equal to the fair market values of the Company’s Common Shares on the grant dates. Restricted share and unit awards generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date.
A summary of restricted share and restricted unit activity under the Company’s Long Term Incentive and Share Award Plans for 2023 is presented below:
Number of Restricted
Common
Shares
Number of Restricted
Unit
Awards
Unvested Shares:
Unvested balance, beginning of year2,165,554 517,293 
Granted678,657 146,534 
Vested(1,281,449)(352,190)
Forfeited(38,157)(5,709)
Unvested balance, end of year1,524,605 305,928 
Weighted Average Grant Date Fair Value:
Unvested balance, beginning of year$40.23 $37.17 
Granted$69.47 $69.20 
Vested$38.37 $34.16 
Forfeited$49.65 $55.55 
Unvested balance, end of year$54.57 $55.63 
The following table presents the weighted average grant date fair value of restricted shares and restricted unit awards granted and the aggregate fair value of restricted shares and unit awards vesting in each year.
Year Ended December 31,
202320222021
Number of restricted shares and restricted unit awards granted 825,191 1,089,393 1,261,773 
Weighted average grant date fair value$69.42 $47.45 $36.12 
Aggregate fair value of vested restricted share and unit awards (in millions)$122 $51 $41 
The aggregate intrinsic value of restricted units outstanding at December 31, 2023 was $23 million, and the aggregate intrinsic value of restricted units vested and deferred was $0.4 million.
Performance Awards
The Company also issues performance share and unit awards (“performance awards”) to eligible employees, which are earned based on the achievement of pre-established threshold, target and maximum goals over three-year performance periods. Final payouts depend on the level of achievement along with each employees continued service through the vest date, and can vary between 0% and 200%. The grant date fair value of the performance awards is measured using a Monte Carlo simulation model, which incorporated the assumptions summarized in the table below. Expected volatility is based on the Company’s daily historical trading data of its common shares. The cumulative compensation expense recognized and unrecognized as of any reporting period date represents the adjusted estimate of performance shares and units that will ultimately be awarded, valued at their original grant date fair values.
Year Ended December 31,
202320222021
Expected volatility30.4 %38.1 %37.5 %
Risk free interest rate4.6 %1.7 %0.3 %
Number of Performance
Shares
Number of Performance
Units
Unvested Shares:
Unvested balance, beginning of year1,882,916 39,710 
Granted550,394 18,182 
Performance adjustment (1) (2)(341,420)(2,024)
Vested(207,486)(6,274)
Forfeited(3,708)— 
Unvested balance, end of year1,880,696 49,594 
Weighted Average Grant Date Fair Value:
Unvested balance, beginning of year$43.75 $45.33 
Granted$74.08 $74.31 
Performance adjustment (1) (2)$44.17 $44.17 
Vested$44.17 $44.17 
Forfeited$59.83 $— 
Unvested balance, end of year$52.47 $56.15 
(1)    The performance adjustment represents the difference between the number of performance shares granted and earned, which vested following the end of the performance period. The performance shares were granted at the maximum level of achievement.
(2)    The performance adjustment represents the change in PSUs, which vested following the end of the performance period. The performance units were granted at the target level of achievement.

The following table presents the weighted average grant date fair values of performance awards granted.
Year Ended December 31,
202320222021
Number of performance awards568,576 690,772 685,104 
Weighted average grant date fair value$74.09 $49.91 $37.38 
Aggregate fair value of vested performance share and unit awards (in millions)$14 $27 $24 
The aggregate intrinsic value of performance units outstanding at December 31, 2023 was $4 million.
The issuance of share-based awards and amortization thereon has no effect on the Company’s consolidated shareholders’ equity.
Share-Based Compensation Expense
The following tables present pre-tax and after-tax share-based compensation expense recognized as well as the unrecognized compensation cost associated with unvested awards and the weighted average period over which it is expected to be recognized.
Year Ended December 31,
202320222021
Pre-Tax
Stock options and SARs$11 $12 $12 
Restricted share and unit awards54 50 47 
Performance awards23 22 24 
ESPP
Total$92 $88 $87 
After-Tax
Stock options and SARs$10 $11 $11 
Restricted share and unit awards45 42 39 
Performance awards21 20 22 
ESPP
Total$80 $77 $76 
December 31, 2023
Stock Options and SARsRestricted Common
Shares and Units
Performance Common Shares and Units
Unrecognized compensation cost related to unvested awards$$43 $11 
Weighted average recognition period (years)0.670.950.44
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Retirement Plans
12 Months Ended
Dec. 31, 2023
Retirement Benefits [Abstract]  
Retirement Plans
For purposes of providing employees with retirement benefits, the Company maintains defined contribution retirement plans. Contributions are based on the participants’ eligible compensation. For 2023, 2022 and 2021, the Company expensed $77 million, $67 million and $60 million, respectively, related to these retirement plans.
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Legal Proceedings
12 Months Ended
Dec. 31, 2023
Disclosure Legal Proceedings [Abstract]  
Legal Proceedings The Company, in common with the insurance industry in general, is subject to litigation and arbitration in the normal course of its business. As of December 31, 2023, the Company was not a party to any litigation or arbitration which is expected by management to have a material adverse effect on the Company’s results of operations and financial condition and liquidity.
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Statutory Information
12 Months Ended
Dec. 31, 2023
Disclosure Statutory Information [Abstract]  
Statutory Information
The Company’s insurance and reinsurance subsidiaries are subject to insurance and/or reinsurance laws and regulations in the jurisdictions in which they operate. These regulations include certain restrictions on the amount of dividends or other distributions available to shareholders without prior approval of the insurance regulatory authorities.
The actual and required statutory capital and surplus for the Company’s principal operating subsidiaries at December 31, 2023 and 2022:
December 31,
20232022
Actual capital and surplus (1):
Bermuda$24,120 $19,546 
Ireland1,148 968 
United States6,897 6,195 
United Kingdom1,367 1,018 
Canada83 69 
Australia366 285 
Required capital and surplus:
Bermuda$7,112 $6,450 
Ireland942 815 
United States1,895 1,749 
United Kingdom1,192 543 
Canada53 48 
Australia179 176 
(1)Such amounts include ownership interests in affiliated insurance and reinsurance subsidiaries.
There were no state-prescribed or permitted regulatory accounting practices for any of the Company’s insurance or reinsurance entities that resulted in reported statutory surplus that differed from that which would have been reported under the prescribed practices of the respective regulatory authorities, including the National Association of Insurance Commissioners. The differences between statutory financial statements and statements prepared in accordance with GAAP vary by jurisdiction, however, with the primary differences being that statutory financial statements may not reflect deferred acquisition costs, certain net deferred income tax assets, goodwill and intangible assets, unrealized appreciation or depreciation on debt securities and certain unauthorized reinsurance recoverables and include contingency reserves.
The statutory net income (loss) for the Company’s principal operating subsidiaries for 2023, 2022 and 2021 was as follows:
Year Ended December 31,
202320222021
Statutory net income (loss):
Bermuda$3,519 $1,730 $2,371 
Ireland53 (53)25 
United States592 220 346 
United Kingdom72 57 35 
Canada
Australia68 39 12 
Bermuda
The Company’s Bermuda insurance and reinsurance subsidiaries are subject to the Bermuda Insurance Act 1978 and related regulations, each as amended (the “Insurance Act”). Arch Re Bermuda, the Company’s principal reinsurance and insurance subsidiary, is registered as a Class 4 insurer and long-term insurer while Arch Group Reinsurance Ltd. (“AGRL”) is registered as a Class 3A general business insurer and provides affiliated quota share reinsurance covering certain U.S. business. The Insurance Act requires that both entities maintain minimum statutory capital and surplus equal to the greater of a minimum solvency margin and the enhanced capital requirement (“ECR”) as determined by the Bermuda Monetary Authority (“BMA”). The ECR is calculated based on the Bermuda Solvency Capital Requirement model, a risk-based model that takes into account the risk characteristics of different aspects of the company’s business. At December 31, 2023 and 2022, the actual and required capital and surplus were based on the economic balance sheet requirements.
Under the Insurance Act, Arch Re Bermuda and AGRL are restricted with respect to the payment of dividends. Each entity is prohibited from declaring or paying in any financial year dividends of more than 25% of its total statutory capital
and surplus (as shown on its previous financial year’s statutory balance sheet) unless it files, at least seven days before payment of such dividends, with the BMA an affidavit stating that it will continue to meet the required margins following the declaration of those dividends. Accordingly, Arch Re Bermuda can pay approximately $4.8 billion to Arch Capital during 2024 without providing an affidavit to the BMA. Dividends or distributions, if any, made by AGRL would result in an increase in available capital at Arch-U.S.
Ireland
The Company has three Irish subsidiaries: Arch Re Europe, an authorized life and non-life reinsurer, Arch Insurance (EU), an authorized non-life insurer and Arch Underwriting Europe, a registered insurance and reinsurance intermediary. Irish authorized reinsurers and insurers, such as Arch Re Europe, Arch Insurance (EU) and Irish intermediaries, such as Arch Underwriters Europe, are also subject to the general body of Irish laws and regulations including the provisions of the Companies Act 2014. As part of the Company’s Brexit plan, Arch Insurance (EU) received approval from the Central Bank of Ireland (“CBI”) to expand the nature of its business in 2019 commenced writing insurance lines in the European Economic Area in 2020, and the Part VII Transfer was completed at the end of December 2020. Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe are subject to the supervision of the CBI and must comply with Irish insurance acts and regulations as well as with directions and guidance issued by the CBI. Arch Re Europe and Arch Insurance (EU) are required to maintain a minimum level of capital. At December 31, 2023 and 2022, these requirements were met.

The amount of dividends these subsidiaries are permitted to declare is limited to accumulated, realized profits, so far as not previously utilized by distribution or capitalization, less its accumulated, realized losses, so far as not previously written off in a reduction or reorganization of capital duly made. The solvency and capital requirements must still be met following any distribution. Dividends or distributions, if any, made by Arch Re Europe would result in an increase in available capital at Arch Re Bermuda.

United States
The Company’s U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of the Company’s regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities.

Dividends or distributions, if any, made by Arch Re U.S. would result in an increase in available capital at Arch-U.S., the Company’s U.S. holding company. Arch Re U.S. can declare a maximum of approximately $329 million of dividends during 2024 subject to the approval of the Commissioner of the Delaware Department of Insurance.
AMIC and UGRIC are approved as eligible mortgage insurers by Fannie Mae and Freddie Mac, subject to maintaining certain requirements (“eligible mortgage insurers”). In April 2015, the GSEs published their original comprehensive, requirements, known as the Private Mortgage Insurer Eligibility Requirements or “PMIERs.” Revised and restated in September 2018, and clarified thereafter by the Guidance Letters 2020-1 and 2021-1 issued by the GSEs in 2020 and 2021, respectively, the PMIERs apply to the Company’s eligible mortgage insurers, but do not apply to AMG, which is not GSE-approved.
The amount of assets required to satisfy the revised financial requirements of the PMIERs may be affected by many factors, including macro-economic conditions, the size and composition of our mortgage insurance portfolio, and the amount of risk ceded to reinsurers that may be deducted in our calculation of “minimum required assets.”
The Company’s U.S. mortgage insurance subsidiaries are subject to regulation by their domiciliary and primary regulators, the Wisconsin Office of the Commissioner of Insurance (“Wisconsin OCI”) for AMIC and AMG, the North Carolina Department of Insurance (“NC DOI”) for UGRIC, and by state insurance departments in each state in which they are licensed. As mandated by state insurance laws, mortgage insurers are generally mono-line companies. Each company is subject to the statutory requirements of their domiciliary regulator as to payment of dividends and return of capital; the GSEs may also impart limitations on the Company’s eligible mortgage insurers, such as required minimum assets. Under respective state law, the Company’s U.S. mortgage subsidiaries can declare a maximum of approximately $180 million of ordinary dividends in 2024, however, dividend capacity is limited by the respective companies unassigned surplus amounts. Such dividends would increase the available capital at Arch U.S. MI Holdings Inc., a subsidiary of Arch-U.S.
Mortgage insurance companies licensed in Wisconsin or North Carolina are required to establish contingency loss reserves for purposes of statutory accounting in an amount equal to at least 50% of net earned premiums. These amounts generally cannot be withdrawn for a period of 10 years and are separate liabilities for statutory accounting purposes, which affects the ability to pay dividends. However, with prior regulatory approval, a mortgage insurance company may make early withdrawals from the contingency reserve
when incurred losses exceed 35% of net premiums earned in a calendar year.
Under Wisconsin and North Carolina law, as well as that of 14 other states, a mortgage insurer must maintain a minimum amount of statutory capital relative to its risk in force in order for the mortgage insurer to continue to write new business. While formulations of minimum capital vary in certain jurisdictions, the most common measure applied allows for a maximum risk-to-capital ratio of 25 to 1. Wisconsin and North Carolina require mortgage insurers to maintain a “minimum policyholder position” calculated in accordance with their respective regulations. Policyholders' position consists primarily of statutory policyholders' surplus plus the contingency loss reserves.
United Kingdom
The Prudential Regulation Authority (“PRA”) and the Financial Conduct Authority (“FCA”) regulate insurance and reinsurance companies and the FCA regulates firms carrying on insurance mediation activities operating in the U.K., both under the Financial Services and Markets Act 2000. In May 2004, Arch Insurance (U.K.) was granted the relevant permissions for the classes of insurance business which it underwrites in the U.K. AMAL currently manages Arch Syndicate 2012 and Arch Syndicate 1955 pursuant to its authorizations by the U.K. regulators and Lloyd’s. All U.K. companies are also subject to a range of statutory provisions, including the laws and regulations of the Companies Act 2006 (as amended) (the “U.K. Companies Act”).
Arch Insurance (U.K.) and AMAL must maintain a margin of solvency at all times under the Solvency II Directive from the European Insurance and Occupational Pensions Authority. The regulations stipulate that insurers are required to maintain the minimum capital requirement and solvency capital requirement at all times. At December 31, 2023 and 2022, these requirements were met.
As corporate members of Lloyd’s, AMAL (as managing agent of the Company’s Lloyd’s Syndicates) and each syndicate’s respective corporate members are subject to the oversight of the Council of Lloyd’s. The capital required to support a Syndicate’s underwriting capacity, or funds at Lloyd’s, is assessed annually and is determined by Lloyd’s in accordance with the capital adequacy rules established by the PRA. The Company has provided capital to support the underwriting of Arch Syndicate 2012 and Arch Syndicate 1955 in the form of pledged assets and letters of credit provided by Arch Re Bermuda. The amount which the Company provides as funds at Lloyd’s is not available for distribution to the Company for the payment of dividends. Lloyd’s is supervised by the PRA and required to implement certain rules prescribed by the PRA under the Lloyd’s Act of 1982 regarding the operation of the Lloyd’s market. With
respect to managing agents and corporate members, Lloyd’s prescribes certain minimum standards relating to management and control, solvency and other requirements and monitors managing agents’ compliance with such standards.
Under U.K. law, all U.K. companies are restricted from declaring a dividend to their shareholders unless they have “profits available for distribution.” The calculation as to whether a company has sufficient profits is based on its accumulated realized profits minus its accumulated realized losses. U.K. insurance regulatory laws do not prohibit the payment of dividends, but the PRA or FCA, as applicable, requires that insurance companies and insurance intermediaries maintain certain solvency margins and may restrict the payment of a dividend by Arch Insurance (U.K.) and AMAL.
Canada
Arch Insurance Canada and the Canadian branch of Arch Re U.S. (“Arch Re Canada”) are subject to federal, as well as provincial and territorial, regulation in Canada. The Office of the Superintendent of Financial Institutions (“OSFI”) is the federal regulatory body that, under the Insurance Companies Act (Canada), regulates federal Canadian and non-Canadian insurance companies operating in Canada. Arch Insurance Canada and Arch Re Canada are subject to regulation in the provinces and territories in which they underwrite insurance/reinsurance, and the primary goal of insurance/reinsurance regulation at the provincial and territorial levels is to govern the market conduct of insurance/reinsurance companies. Arch Insurance Canada is licensed to carry on insurance business by OSFI and in each province and territory. Arch Re Canada is licensed to carry-on reinsurance business by OSFI and in the provinces of Ontario and Quebec.
Under the Insurance Companies Act (Canada), Arch Insurance Canada is required to maintain an adequate amount of capital in Canada, calculated in accordance with a test promulgated by OSFI called the Minimum Capital Test (“MCT”), and Arch Re Canada is required to maintain an adequate margin of assets over liabilities in Canada, calculated in accordance with a test promulgated by OSFI called the Branch Adequacy of Assets Test. Under the Insurance Companies Act (Canada), approval of the Minister of Finance (Canada) is required in connection with certain acquisitions of shares of, or control of, Canadian insurance companies such as Arch Insurance Canada, and notice to and/or approval of OSFI is required in connection with the payment of dividends by or redemption of shares by Canadian insurance companies such as Arch Insurance Canada.
Australia
The Australian Prudential Regulation Authority (“APRA”) is an independent statutory authority responsible for prudential supervision of institutions across banking, insurance and superannuation and promotes financial stability in Australia. Arch Indemnity has been authorized to conduct monoline lenders’ mortgage insurance business in Australia since June 2002 and was acquired by Arch Capital on August 30, 2021 and since that date is the primary provider of lenders’ mortgage insurance for the group. Arch Indemnity has also been licensed by the Australian Securities and Investments Commission (“ASIC”) since March 2011 to engage in credit activities in Australia. Arch LMI Pty Ltd. (“Arch LMI”) was formerly authorized by APRA in January 2019 to conduct monoline lenders’ mortgage insurance business in Australia; however, in December 2022, we converted Arch LMI to a services company for our Australian lenders mortgage insurance operations and the company relinquished its APRA authorization. Major regulatory requirements that are applicable to Arch Indemnity in general as an insurance provider and financial institution in Australia include requirements and compliance with minimum capital levels; risk management strategy; corporate governance standards, privacy legislation on the collection, use and storage of personal information; cyber security obligations imposed by APRA and ASIC; modern slavery legislation; anti-money laundering and counter-terrorism legislation. At December 31, 2023 and 2022, these requirements were met.
Arch Capital also conducts property and casualty insurance business in Australia through the Company’s Lloyd’s platform. This insurance business is managed by and distributed through local coverholders and is subject to Lloyd’s Supervision. In addition, the business is subject to local Australian prudential regulatory oversight by APRA, and additional separate financial services market conduct regulation by the Australian Securities and Investments Commission.
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Schedule II - Condensed Financial Information of Registrant
12 Months Ended
Dec. 31, 2023
Condensed Financial Information Disclosure [Abstract]  
Condensed Financial Information of Registrant
SCHEDULE II


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in millions)

Balance Sheet
(Parent Company Only)


December 31,
20232022
Assets
Total investments$17 $
Cash11 
Investments in subsidiaries19,590 14,191 
Investment in operating affiliates
Due from subsidiaries and affiliates— 
Other assets58 18 
Total assets$19,678 $14,234 
Liabilities
Senior notes$1,287 $1,287 
Other liabilities38 37 
Total liabilities1,325 1,324 
Shareholders' Equity
Non-cumulative preferred shares830 830 
Common shares ($0.0011 par, shares issued: 591.9 and 588.3)
Additional paid-in capital2,327 2,211 
Retained earnings20,295 15,892 
Accumulated other comprehensive income (loss), net of deferred income tax(676)(1,646)
Common shares held in treasury, at cost (shares: 218.5 and 217.9)
(4,424)(4,378)
Total shareholders' equity$18,353 $12,910 
Total liabilities and shareholders' equity$19,678 $14,234 


The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.
Statement of Income
(Parent Company Only)


Year Ended
December 31,
202320222021
Revenues
Net investment income$$$
Total revenues
Expenses
Corporate expenses93 86 72 
Interest expense59 59 59 
Total expenses152 145 131 
Income (loss) before income taxes and income (loss) from operating affiliates(150)(143)(129)
Income tax (expense) benefit41 — — 
Income (loss) from operating affiliates(1)(1)(1)
Income (loss) before equity in net income of subsidiaries(110)(144)(130)
Equity in net income of subsidiaries4,553 1,593 2,287 
Net income available to Arch4,443 1,449 2,157 
Preferred dividends(40)(40)(48)
Loss on redemption of preferred shares— — (15)
Net income available to Arch common shareholders$4,403 $1,409 $2,094 

The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.
Statement of Cash Flows
(Parent Company Only)



Year Ended
December 31,
202320222021
Operating Activities:
Net Cash Provided By Operating Activities$46 $621 $1,728 
Investing Activities:
Net (purchases) sales of short-term investments(8)(5)(2)
Capital contributed to subsidiaries— — (487)
Purchase of fixed assets— — (1)
Other(1)— 
Net Cash Used For Investing Activities(7)(6)(490)
Financing Activities:
Purchases of common shares under share repurchase program— (586)(1,234)
Proceeds from common shares issued, net(2)
Proceeds from issuance of preferred shares, net— — 486 
Redemption of preferred shares— — (450)
Preferred dividends paid(40)(40)(48)
Net Cash Used For Financing Activities(42)(620)(1,240)
Increase (decrease) in cash and restricted cash(3)(5)(2)
Cash and restricted cash, beginning of year12 17 19 
Cash and restricted cash, end of period$$12 $17 


The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.
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Schedule III - Supplementary Insurance Information
12 Months Ended
Dec. 31, 2023
SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Abstract]  
Supplementary Insurance Information
SCHEDULE III


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
SUPPLEMENTARY INSURANCE INFORMATION
(U.S. dollars in millions)
Deferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesUnearned PremiumsNet Premiums EarnedNet Investment Income (1)Net Losses and Loss Adjustment Expenses IncurredAmortization of Deferred Acquisition CostsOther Operating Expenses (2)Net Premiums Written
December 31, 2023
Insurance$566 $12,250 $3,917 $5,446 NM$3,122 $1,055 $819 $5,862 
Reinsurance901 9,924 4,254 5,836 NM3,227 1,240 288 6,554 
Mortgage64 578 637 1,158 NM(103)17 194 1,052 
Other
Total$1,531 $22,752 $8,808 $12,440 NM$6,246 $2,312 $1,301 $13,468 
December 31, 2022
Insurance$301 $11,017 $3,382 $4,560 NM$2,784 $887 $665 $5,021 
Reinsurance992 8,306 3,206 3,959 NM2,568 813 268 4,924 
Mortgage(30)709 749 1,160 NM(324)40 195 1,133 
Other
Total$1,263 $20,032 $7,337 $9,679 NM$5,028 $1,740 $1,128 $11,078 
December 31, 2021
Insurance$378 $9,811 $2,938 $3,625 NM$2,345 $606 $559 $4,149 
Reinsurance424 6,879 2,263 2,841 NM1,925 537 214 3,254 
Mortgage99 1,068 811 1,283 NM57 97 193 1,261 
Other333 NM258 63 33 353 
Total$901 $17,758 $6,012 $8,082 NM$4,585 $1,303 $999 $9,017 
(1)    The Company does not manage its assets by segment and, accordingly, net investment income is not allocated to each underwriting segment. See note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the ‘other’ segment.
(2)    Certain other operating expenses relate to the Company’s corporate segment. Such amounts are not reflected in the table above. See note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the corporate segment.
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Schedule IV - Reinsurance
12 Months Ended
Dec. 31, 2023
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Abstract]  
Reinsurance
SCHEDULE IV
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
REINSURANCE
(U.S. dollars in millions)
Gross AmountCeded to Other Companies (1)Assumed From Other Companies (1)Net
Amount
Percentage of Amount Assumed to Net
Year Ended December 31, 2023
Premiums Written:
Insurance
$7,865 $(2,049)$46 $5,862 0.8 %
Reinsurance
626 (2,559)8,487 6,554 129.5 %
Mortgage
1,161 (335)226 1,052 21.5 %
Total
$9,652 $(4,935)$8,751 $13,468 65.0 %
Year Ended December 31, 2022
Premiums Written:
Insurance
$6,889 $(1,910)$42 $5,021 0.8 %
Reinsurance
397 (2,024)6,553 4,924 133.1 %
Mortgage
1,256 (322)199 1,133 17.6 %
Total
$8,542 $(4,249)$6,785 $11,078 61.2 %
Year Ended December 31, 2021
Premiums Written:
Insurance
$5,834 $(1,719)$34 $4,149 0.8 %
Reinsurance
409 (1,840)4,685 3,254 144.0 %
Mortgage
1,213 (247)294 1,261 23.3 %
Other
251 (105)206 353 58.4 %
Total
$7,707 $(3,735)$5,045 $9,017 55.9 %
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
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Schedule VI - Supplementary Information For Property and Casualty Insurance Underwriters
12 Months Ended
Dec. 31, 2023
SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Abstract]  
Supplementary Information for Property and Casualty Insurance Underwriters
SCHEDULE VI
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
SUPPLEMENTARY INFORMATION FOR PROPERTY AND CASUALTY INSURANCE UNDERWRITERS
(U.S. dollars in millions)
Column AColumn BColumn CColumn DColumn EColumn FColumn GColumn HColumn IColumn JColumn K
Affiliation with RegistrantDeferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesDiscount, if any, deducted in Column CUnearned PremiumsNet
Premiums Earned
Net Investment IncomeNet Losses and Loss Adjustment Expenses Incurred Related toAmortization
of Deferred Acquisition Costs
Net Paid Losses and Loss Adjustment ExpensesNet
Premiums Written
(a) Current Year(b)
Prior Years
Consolidated Subsidiaries
2023$1,531 $22,752 $66 $8,808 $12,440 $1,023 $6,784 $(538)$2,312 $4,093 $13,468 
20221,263 20,032 61 7,337 9,679 496 5,797 (769)1,740 3,141 11,078 
2021901 17,758 56 6,012 8,082 389 4,940 (355)1,303 2,827 9,017 
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Pay vs Performance Disclosure - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Pay vs Performance Disclosure      
Net income available to Arch $ 4,443 $ 1,476 $ 2,157
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Insider Trading Arrangements
3 Months Ended
Dec. 31, 2023
Trading Arrangements, by Individual  
Rule 10b5-1 Arrangement Adopted false
Non-Rule 10b5-1 Arrangement Adopted false
Rule 10b5-1 Arrangement Terminated false
Non-Rule 10b5-1 Arrangement Terminated false
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Significant Accounting Policies (Policies)
12 Months Ended
Dec. 31, 2023
Accounting Policies [Abstract]  
Basis of presentation The consolidated financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America (“GAAP”) and include the accounts of Arch Capital and its subsidiaries, including Arch Reinsurance Ltd. (“Arch Re Bermuda”), Arch Reinsurance Company (“Arch Re U.S.”), Arch Capital Group (U.S.) Inc.(“Arch-U.S.”), Arch Insurance Company, Arch Specialty Insurance Company, Arch Property Casualty Insurance Company (“Arch P&C”), Arch Indemnity Insurance Company (“Arch Indemnity Insurance”), Arch Insurance Canada Ltd. (“Arch Insurance Canada”), Arch Reinsurance Europe Designated Activity Company (“Arch Re Europe”), Arch Mortgage Insurance Company (“AMIC”), Arch Mortgage Guaranty Company (“AMG”), United Guaranty Residential Insurance Company (“UGRIC”), Arch Indemnity, Arch Insurance (EU) Designated Activity Company (“Arch Insurance (EU)”), Arch Insurance (U.K.) Limited (“Arch Insurance (U.K.)”) and the Company’s participation on Lloyd’s of London syndicates: 2012 (“Arch Syndicate 2012”) and 1955 (“Arch Syndicate 1955” and together with Arch Syndicate 2012, the Company’s “Lloyd’s Syndicates”). All significant intercompany transactions and balances have been eliminated in consolidation.
Use of estimates
The preparation of financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and disclosure of contingent assets and liabilities at the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. Actual results could differ materially from those estimates and assumptions. The Company’s principal estimates include:
The reserve for losses and loss adjustment expenses;
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses, including the provision for uncollectible amounts;
Estimates of written and earned premiums;
The valuation of the investment portfolio and assessment of allowance for credit losses;
The valuation of purchased intangible assets;
The assessment of goodwill and intangible assets for impairment; and
The valuation of deferred income tax assets.
Premiums
Insurance. Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates that are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.
Reinsurance. Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by the Company’s own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of the Company’s experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to the Company. On an ongoing basis, the Company’s underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account the Company’s historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which the Company assumes business generally contain specific provisions which allow the Company to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined.
Reinsurance premiums written are recorded based on the type of contracts the Company writes. Premiums on the Company’s excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on
the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks are expected to incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.
Reinsurance premiums written, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period. Certain of the Company’s reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.
The Company also writes certain reinsurance business that is intended to provide insurers with risk management solutions that complement traditional reinsurance. Under these contracts, the Company assumes a measured amount of insurance risk in exchange for an anticipated margin, which is typically lower than on traditional reinsurance contracts. The terms and conditions of these contracts may include additional or return premiums based on loss experience, loss corridors, sublimits and caps. Examples of such business include aggregate stop-loss coverages, financial quota share coverages and multi-year retrospectively rated excess of loss coverages. If these contracts are deemed to transfer risk, they are accounted for as reinsurance. Otherwise, such contracts are accounted for under the deposit method.
Mortgage. Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, the Company is not able to re-underwrite or re-price its policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage insurance premiums written on
policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled due to repayment by the borrower and the policy is a non-refundable product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.
Unearned premiums for the Company’s mortgage operations represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.
Reinstatement premiums for the Company’s insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment.
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned. A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts.
Premiums receivable include amounts receivable from agents, brokers and insured that are both currently due and amounts not yet due on insurance, reinsurance and mortgage insurance policies. Premiums receivable balances are reported net of an allowance for expected credit losses. The Company monitors credit risk associated with premiums receivable through its ongoing review of amounts outstanding, aging of the receivable, historical loss data, and
counterparty financial strength measures. The allowance also includes estimated uncollectible amounts related to dispute risk. In certain instances, credit risk may be reduced by the Company’s right to offset loss obligations or unearned premiums against premiums receivable. Any allowance for credit losses is charged to net realized gains (losses) in the period the receivable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
Acquisition costs
Acquisition Costs. Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. The Company’s insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For the Company’s mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, the Company estimates the rate of amortization to reflect actual experience and any changes to persistency or loss development.
Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.
A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs and maintenance costs exceed unearned premiums (including expected future premiums) and anticipated investment income. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.
To assess the need for a PDR on mortgage exposures, the Company develops loss projections based on modeled loan defaults related to its current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected
profitability of the Company’s existing mortgage insurance business and the need for a PDR for its mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. No premium deficiency charges were recorded by the Company during 2023, 2022 or 2021.
Deposit accounting
Certain assumed reinsurance contracts that are deemed not to transfer insurance risk, are accounted for using the deposit method of accounting. However, it is possible that the Company could incur financial losses on such contracts. Management exercises significant judgment in the assumptions used in determining whether assumed contracts should be accounted for as reinsurance contracts or deposit contracts. For those contracts that contain only significant underwriting risk, the estimated profit margin is deferred and amortized over the contract period and such amount is included in the Company’s underwriting results. When the estimated profit margin is explicit, the margin is reflected as other underwriting income and any adverse financial results on such contracts are reflected as incurred losses. When the estimated profit margin is implicit, the margin is reflected as an offset to paid losses and any adverse financial results on such contracts are reflected as incurred losses. Additional judgments are required when applying the accounting guidance with respect to the revenue recognition criteria for contracts deemed to transfer only significant underwriting risk. For those contracts that contain only significant timing risk, an accretion rate is established at inception of the contract based on actuarial estimates whereby the deposit accounting liability is increased to the estimated amount payable over the contract term. The accretion on the deposit is based on the expected rate of return required to fund the expected future payment obligations. Periodically the Company reassesses the estimated ultimate liability and the related expected rate of return. The accretion of the deposit accounting liability as well as changes to the estimated ultimate liability and the accretion rate would be reflected as part of interest expense in the Company’s results of operations. Any negative accretion in a deposit accounting liability is shown in other underwriting income in the Company’s results of operations.
Under some of these contracts, the ceding company retains the related assets on a funds held basis. Such amounts are included in “Other assets” on the Company’s balance sheet. Interest income produced by those assets are recorded as part of net investment income in the Company's results of operations.
Retroactive accounting
Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, the Company bifurcates the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.
Reinsurance ceded
In the normal course of business, the Company purchases reinsurance to increase capacity and to limit the impact of individual losses and events on its underwriting results by reinsuring certain levels of risk with other insurance enterprises or reinsurers. The Company uses pro rata, excess of loss and facultative reinsurance contracts. Reinsurance ceding commissions that represent a recovery of acquisition costs are recognized as a reduction to acquisition costs while the remaining portion is deferred. The accompanying consolidated statement of income reflects premiums and losses and loss adjustment expenses and acquisition costs, net of reinsurance ceded. See note 8, “Reinsurance” for information on the Company's reinsurance usage. Reinsurance premiums ceded and unpaid losses and loss adjustment expenses recoverable are estimated in a manner consistent with that of the original policies issued and the terms of the reinsurance contracts. If the reinsurers are unable to satisfy their obligations under the agreements, the Company’s insurance or reinsurance subsidiaries would be liable for such defaulted amounts.
Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. In certain instances, the Company obtains collateral, including letters of credit and trust accounts to further reduce the credit exposure on its reinsurance recoverables. The Company reports its reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon the Company’s ongoing review of amounts outstanding, the financial condition of its reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. Any
allowance for credit losses is charged to net realized gains (losses) in the period the recoverable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
Cash
Cash includes cash equivalents, which are investments with original maturities of three months or less which are not part of the investment portfolio.
Restricted cash
Restricted cash represents amounts held for the benefit of third parties or is legally or contractually restricted as to withdrawal or usage by the Company. Such amounts are included in “Other assets” on the Company’s balance sheet.
Investments
The Company currently classifies substantially all of its fixed maturity investments and short-term investments as “available for sale” and, accordingly, they are carried at estimated fair value (also known as fair value) with the changes in fair value recorded as an unrealized gain or loss component of accumulated other comprehensive income in shareholders’ equity. The fair value of fixed maturity securities and equity securities is generally determined from quotations received from nationally recognized pricing services, or when such prices are not available, by reference to broker or underwriter bid indications. Short-term investments comprise securities due to mature within one year of the date of issue. Short-term investments include certain cash equivalents which are part of investment portfolios under the management of external and internal investment managers.
The Company’s investment portfolio includes certain funds that, due to their ownership structure, are accounted for by the Company using the equity method. In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds. Changes in the carrying value of such investments are recorded in net income as “Equity in net income (loss) of investments accounted for using the equity method.” As such, fluctuations in the carrying value of the investments accounted for using the equity method may increase the volatility of the Company’s reported results of operations.
The Company’s investment portfolio includes equity securities that are accounted for at fair value. Such holdings primarily include publicly traded common stocks. Dividend income on equities is reflected in net investment income. Changes in fair value on equity securities are included in “Net realized gains (losses)” in the consolidated statement of income.
The Company elected to carry certain fixed maturity securities, equity securities, short-term investments and other investments at fair value under the fair value option afforded by accounting guidance regarding the fair value option for financial assets and liabilities. The fair value for certain of the Company’s other investments are determined using net asset values (“NAVs”) as advised by external fund managers. The NAV is based on the fund manager’s valuation of the underlying holdings in accordance with the fund’s governing documents.
Changes in fair value of investments accounted for using the fair value option are included in “Net realized gains (losses).” The primary reasons for electing the fair value option were to address simplification and cost-benefit considerations.
The Company invests in reverse repurchase agreements that are generally treated as collateralized receivables. Receivables for reverse repurchase agreements are reflected in “Other investments” or “Short-term investments” in the Company's consolidated balance sheet depending on their terms. These agreements are recorded at their contracted resale amount plus accrued interest, other than those that are accounted for at fair value. In reverse repurchase transactions, the Company obtains an interest in the purchased assets that are received as collateral.
The Company invests in limited partner interests and shares of limited liability companies. Such amounts are included in investments accounted for using the equity method and other investments. These investments can often have characteristics of a variable interest entity (“VIE”). A VIE refers to entities that have characteristics such as (i) insufficient equity at risk to allow the entity to finance its activities without additional financial support or (ii) instances where the equity investors, as a group, do not have the characteristic of a controlling financial interest. If the Company is determined to be the primary beneficiary, it is required to consolidate the VIE. The primary beneficiary is defined as the variable interest holder that is determined to have the controlling financial interest as a result of having both (i) the power to direct the activities of a VIE that most significantly impact the economic performance of the VIE and (ii) the obligation to absorb losses or right to receive benefits from the VIE that could potentially be significant to the VIE. At inception of the VIE as well as on an ongoing basis, the Company determines whether it is the primary beneficiary based on an analysis of the Company’s level of involvement in the VIE, the
contractual terms, and the overall structure of the VIE. The Company's maximum exposure to loss with respect to these investments is limited to the investment carrying amounts reported in the Company's consolidated balance sheet and any unfunded commitment.
The Company conducts a periodic review to identify and evaluate credit based impairments related to the Company’s available for sale investments. The Company derives estimated credit losses by comparing expected future cash flows to be collected to the amortized cost of the security. Estimates of expected future cash flows consider among other things, macroeconomic conditions as well as the financial condition, near-term and long-term prospects for the issuer, and the likelihood of the recoverability of principal and interest. Effective January 1, 2020, credit losses are recognized through an allowance account subject to reversal, rather than a reduction in amortized cost. Declines in value attributable to factors other than credit are reported as an unrealized loss in other comprehensive income while the allowance for credit loss is charged to net realized gains (losses) in the consolidated statement of income.
For available for sale investments that the Company intends to sell or for which it is more likely than not that the Company would be required to sell before an anticipated recovery in value, the full amount of the impairment is included in net realized gains (losses). The new cost basis of the investment is the previous amortized cost basis reduced by the impairment recognized in net realized gains (losses). The new cost basis is not adjusted for any subsequent recoveries in fair value.
The Company reports accrued investment income separately from investment balances and has elected not to measure an allowance for credit losses for accrued investment income. Any uncollectible accrued interest income is written off in the period it is deemed uncollectible.
Net investment income includes interest and dividend income together with amortization of market premiums and discounts and is net of investment management and custody fees. Anticipated prepayments and expected maturities are used in applying the interest method for certain investments such as mortgage and other asset-backed securities. When actual prepayments differ significantly from anticipated prepayments, the effective yield is recalculated to reflect actual payments to date and anticipated future payments. The net investment in such securities is adjusted to the amount that would have existed had the new effective yield been applied since the acquisition of the security. Such adjustments, if any, are included in net investment income when determined.
Investment gains or losses realized on the sale of investments, except for certain fund investments, are determined on a first-in, first-out basis and are reflected in net income. Investment gains or losses realized on the sale of certain fund investments are determined on an average cost basis. Unrealized appreciation or decline in the value of available for sale securities, which are carried at fair value, is excluded from net income and recorded as a separate component of accumulated other comprehensive income, net of applicable deferred income tax.
Derivative instruments
The Company recognizes all derivative instruments, including embedded derivative instruments, at fair value in its consolidated balance sheets. The Company employs the use of derivative instruments within its operations to mitigate risks arising from assets and liabilities held in foreign currencies as well as part of its overall investment strategy. For such instruments, changes in assets and liabilities measured at fair value are recorded as “Net realized gains (losses)” in the consolidated statements of income. In addition, the Company’s derivative instruments include amounts related to underwriting activities where an insurance or reinsurance contract meets the accounting definition of a derivative instrument. For such contracts, changes in fair value are reflected in “Other underwriting income” in the consolidated statements of income as the underlying contract originates from the Company’s underwriting operations. For the periods ended 2023, 2022, and 2021, the Company did not designate any derivative instruments as hedges under the relevant accounting guidance. See note 11, “Derivative Instruments” for additional information.
Reserves for losses and loss adjustment expenses
Insurance and Reinsurance. The reserve for losses and loss adjustment expenses consists of estimates of unpaid reported losses and loss adjustment expenses and estimates for losses incurred but not reported. The reserve for unpaid reported losses and loss adjustment expenses, established by management based on reports from ceding companies and claims from insureds, excludes estimates of amounts related to losses under high deductible policies, and represents the estimated ultimate cost of events or conditions that have been reported to or specifically identified by the Company. Such reserves are supplemented by management’s estimates of reserves for losses incurred for which reports or claims have not been received. The Company’s reserves are based on a combination of reserving methods, incorporating both Company and industry loss development patterns. The Company selects the initial expected loss and loss adjustment expense ratios based on information derived by its underwriters and actuaries during the initial pricing of the business, supplemented by industry data where appropriate. Such ratios consider, among other things, rate changes and
changes in terms and conditions that have been observed in the market. These estimates are reviewed regularly and, as experience develops and new information becomes known, the reserves are adjusted as necessary. Such adjustments, if any, are reflected in income in the period in which they are determined. As actual loss information has been reported, the Company has developed its own loss experience and its reserving methods include other actuarial techniques. Over time, such techniques have been given further weight in its reserving process based on the continuing maturation of the Company’s reserves. Inherent in the estimates of ultimate losses and loss adjustment expenses are expected trends in claims severity and frequency and other factors which may vary significantly as claims are settled. Accordingly, ultimate losses and loss adjustment expenses may differ materially from the amounts recorded in the accompanying consolidated financial statements. Losses and loss adjustment expenses are recorded on an undiscounted basis, except for excess workers’ compensation and employers’ liability business written by the Company’s insurance operations.
Mortgage. The reserves for mortgage guaranty insurance losses and loss adjustment expenses are the estimated claim settlement costs on notices of delinquency that have been received by the Company, as well as loan delinquencies that have been incurred but have not been reported by the lenders. Consistent with primary mortgage insurance industry accounting practice, the Company does not establish loss reserves for future claims on insured loans that are not currently delinquent (defined as two or more payments in arrears). The Company establishes loss reserves on a case-by-case basis when insured loans are reported delinquent using estimated claim rates and average claim sizes for each cohort, net of any salvage recoverable. The Company also reserves for delinquencies that have occurred but have not yet been reported to the Company prior to the close of an accounting period. To determine this reserve, the Company estimates the number of delinquencies not yet reported using historical information regarding late reported delinquencies and applies estimated claim rates and claim sizes for the estimated delinquencies not yet reported.
The establishment of reserves across the Company’s segments is an inherently uncertain process, are necessarily based on estimates, and the ultimate net cost may vary from such estimates. The methods for making such estimates and for establishing the resulting liability are reviewed and updated using the most current information available. Any resulting adjustments, which may be material, are reflected in current operations.
Contractholders receivables and payables
Certain insurance policies written by the Company’s U.S. insurance operations feature large deductibles, primarily in its construction and national accounts line of business. Under such contracts, the Company is obligated to pay the claimant for the full amount of the claim. The Company is subsequently reimbursed by the policy holder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet as contractholder payables and contractholder receivables. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the policyholder to mitigate the Company’s credit risk. In the instances where the Company receives collateral in the form of cash, the Company reflects it in “Collateral held for insured obligations.”
Contractholder receivables are reported net of an allowance for expected credit losses. The allowance is based upon the Company’s ongoing review of amounts outstanding, changes in policyholder credit standing, amounts and form of collateral obtained, and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit losses. Any allowance for credit losses is charged to net realized gains (losses) in the period the receivable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
Foreign exchange
Assets and liabilities of foreign operations whose functional currency is not the U.S. Dollar are translated at the prevailing exchange rates at each balance sheet date. Revenues and expenses of such foreign operations are translated at average exchange rates during the year. The net effect of the translation adjustments for foreign operations is included in accumulated other comprehensive income, net of applicable deferred income tax. Monetary assets and liabilities, such as premiums receivable and the reserve for losses and loss adjustment expenses, denominated in foreign currencies are revalued at the exchange rate in effect at the balance sheet date with the resulting foreign exchange gains and losses included in net income. Accounts that are classified as non-monetary, such as deferred acquisition costs and the unearned premium reserves, are not revalued. In the case of foreign currency denominated fixed maturity securities which are classified as “available for sale,” the change in exchange rates between the local currency in which the investments are denominated and the Company’s functional currency at each balance sheet date is included in unrealized appreciation or
decline in value of securities, a component of accumulated other comprehensive income, net of applicable deferred income tax.
Income taxes
Deferred income taxes reflect the expected future tax consequences of temporary differences between the carrying amounts of assets and liabilities for financial reporting purposes and amounts used for income tax purposes. A valuation allowance is recorded if it is more likely than not that some or all of a deferred income tax asset may not be realized. The Company considers future taxable income and feasible tax planning strategies in assessing the need for a valuation allowance. In the event the Company determines that it will not be able to realize all or part of its deferred income tax assets in the future, an adjustment to the deferred income tax assets would be charged to income in the period in which such determination is made. In addition, if the Company subsequently assesses that the valuation allowance is no longer needed, a benefit would be recorded to income in the period in which such determination is made. See note 15, “Income Taxes” for additional information.
The Company recognizes a tax benefit where it concludes that it is more likely than not that the tax benefit will be sustained on audit by the taxing authority based solely on the technical merits of the associated tax position. If the recognition threshold is met, the Company recognizes a tax benefit measured at the largest amount of the tax benefit that, in the Company’s judgment, is greater than 50% likely to be realized. The Company records interest and penalties related to unrecognized tax benefits in the provision for income taxes.
On December 27, 2023 the Bermuda government enacted tax legislation referred to as the Corporate Income Tax Act 2023 (“Bermuda CIT Act”). The Bermuda CIT Act establishes a 15% corporate income tax, for in-scope businesses, for fiscal years beginning on or after January 1, 2025. The enacted legislation includes a provision referred to as the Economic Transition Adjustment, which requires Bermuda Constituent entities to establish tax basis in their assets and liabilities, excluding goodwill, based on fair value as of September 30, 2023. Fair value is defined as the price that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date. See note 15, “Income Taxes” for additional information regarding Company’s deferred income tax asset.
Share-based payment arrangements
The Company applies a fair value based measurement method in accounting for its share-based payment arrangements with eligible employees and directors. Compensation expense is estimated based on the fair value of the award at the grant date and is recognized in net income over the requisite service period with a corresponding increase in shareholders’ equity. No value is attributed to awards that employees forfeit because they fail to satisfy vesting conditions. The Company’s (i) time-based awards generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date and (ii) performance-based awards cliff vest after each three year performance period based on achievement of the specified performance criteria. The share-based compensation expense associated with awards that have graded vesting features and vest based on service conditions only is calculated on a straight-line basis over the requisite service period for the entire award. Compensation expense recognized in connection with performance awards is based on the achievement of the specified performance and service conditions. The final measure of compensation expense recognized over the requisite service period reflects the final performance outcome. During the recognition period compensation expense is accrued based on the performance condition that is probable of achievement. For awards granted to retirement-eligible employees where no service is required for the employee to retain the award, the grant date fair value is immediately recognized as compensation expense at the grant date because the employee is able to retain the award without continuing to provide service. For employees near retirement eligibility, attribution of compensation cost is over the period from the grant date to the retirement eligibility date. These charges had no impact on the Company’s cash flows or total shareholders’ equity. See note 22, “Share-Based Compensation” for information relating to the Company’s share-based payment awards.
Guaranty fund and other related assessments
Liabilities for guaranty fund and other related assessments in the Company’s insurance and reinsurance operations are accrued when the Company receives notice that an amount is payable, or earlier if a reasonable estimate of the assessment can be made.
Treasury shares
Treasury shares are common shares purchased by the Company and not subsequently canceled. These shares are recorded at cost and result in a reduction of the Company’s shareholders’ equity in its Consolidated Balance Sheets.
Goodwill and intangible assets
Goodwill represents the excess of the purchase price of business combination over the fair value of the net assets acquired and is assigned to the applicable reporting unit at acquisition. Goodwill is evaluated for impairment on an annual basis. Impairment tests may be performed more frequently if the facts and circumstances indicate a possible impairment. In performing impairment tests, the Company may first assess qualitative factors to determine whether it is more likely than not (that is, more than a 50% probability) that the fair value of a reporting unit exceeds its carrying amount as a basis for determining whether it is necessary to perform goodwill impairment test described in the accounting guidance.
Indefinite-lived intangible assets, such as insurance licenses are evaluated for impairment similar to goodwill. Finite-lived intangible assets and liabilities include the value of acquired insurance and reinsurance contracts, which are estimated based on the present value of future expected cash flows and amortized in proportion to the estimated profits expected to be realized. Other finite-lived intangible assets, including customer lists, trade name and IT platforms, are amortized over their useful lives. Finite-lived intangible assets and liabilities are periodically reviewed for indicators of impairment. An impairment is recognized when the carrying amount is not recoverable from its undiscounted cash flows and is measured as the difference between the carrying amount and fair value.
If goodwill or intangible assets are impaired, such assets are written down to their fair values with the related expense recorded in the Company’s results of operations.
Investment in operating affiliates
Investment in operating affiliates primarily represent the Company’s investments in which it has significant influence and which are accounted for under the equity method of accounting. In applying the equity method of accounting, investments in operating affiliates are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of net income or loss of the operating affiliate. The Company records its proportionate share of other comprehensive income or loss of the operating affiliate as a component of other comprehensive income. Adjustments are based on the most recently available financial information from the operating affiliate. Changes in the carrying value of these investments are recorded in income (loss) from operating affiliates.
Funds held arrangements
Funds held arrangements are agreements with a third party reinsurance company, where the reinsured retains the related assets on a funds held basis. Such amounts are included in “Other assets” on the Company’s balance sheet. Investment returns produced by those assets are recorded as part of net investment income and net realized gains (losses) in the Company's consolidated results of operations. Funds held as collateral by the Company are included in “Other liabilities” and changes to the funds held liability are reflected as part of interest expense in the Company’s consolidated results of operations.
Recent accounting pronouncements
Recently Issued Accounting Standards Not Yet Adopted
ASU 2020-04, “Facilitation of the Effects of Reference Rate Reform on Financial Reporting,” was issued in March 2020 and amended in December 2022 with ASU 2022-06, “Reference Rate Reform (Topic 848)”. This ASU provides optional expedients and exceptions for applying GAAP to investments, derivatives, or other transactions that reference the London Interbank Offered Rate (“LIBOR”) or another reference rate expected to be discontinued because of reference rate reform. Along with the optional expedients, the amendments include a general principle that permits an entity to consider contract modifications due to reference reform to be an event that does not require contract re-measurement at the modification date or reassessment of a previous accounting determination. The amendment deferred the sunset date from December 31, 2022 to December 31, 2024. As a result, this standard can be adopted no later than December 31, 2024, with early adoption permitted. Based on its current analysis, the Company does not expect that the new guidance will have a material effect on the Company’s consolidated financial statements.
ASU 2023-07, “Segment Reporting – Improvements to Reportable Segments Disclosures,” was issued in November 2023. This ASU enhances disclosures of significant segment expenses by requiring to disclose significant segment expenses regularly provided to the chief operating decision maker (“CODM”), extend certain annual disclosures to interim periods, and permit more than one measure of segment profit or loss to be reported under certain conditions. The amendments are effective for the Company in fiscal years beginning after December 15, 2023, and interim periods within fiscal years beginning after December 15, 2024. Early adoption of the amendment is permitted, including adoption in any interim periods for which financial statements have not been issued. Based on its current analysis, the Company does not expect that the new guidance will have a material effect on the Company’s consolidated financial statements.
ASU 2023-09, “Improvements to Income Tax Disclosures,” was issued in December 2023 with the stated purpose of enhancing the transparency and decision usefulness of income tax disclosures. The amendments in ASU 2023-09 address investor requests for enhanced income tax information primarily through changes to the rate reconciliation and income taxes paid information. While early adoption is permitted, a public entity should apply the amendments in ASU 2023-09 prospectively to all annual periods beginning after December 15, 2024. The Company is currently evaluating the impact of this standard on the Company’s consolidated financial statements and related disclosures.
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Segment Information (Tables)
12 Months Ended
Dec. 31, 2023
Segment Reporting [Abstract]  
Analysis of underwriting income (loss) by segment and reconciliation to net income (loss) available to common shareholders
The following tables summarize the Company’s underwriting income or loss by segment, together with a reconciliation of underwriting income or loss to net income available to Arch common shareholders, summary information regarding net premiums written and earned by major line of business and net premiums written by location:
Year Ended December 31, 2023
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$7,911 $9,113 $1,387 $18,403 $— $18,403 
Premiums ceded (1)(2,049)(2,559)(335)(4,935)— (4,935)
Net premiums written5,862 6,554 1,052 13,468 — 13,468 
Change in unearned premiums(416)(718)106 (1,028)— (1,028)
Net premiums earned5,446 5,836 1,158 12,440 — 12,440 
Other underwriting income— 17 14 31 — 31 
Losses and loss adjustment expenses(3,122)(3,227)103 (6,246)— (6,246)
Acquisition expenses(1,055)(1,240)(17)(2,312)— (2,312)
Other operating expenses(819)(288)(194)(1,301)— (1,301)
Underwriting income$450 $1,098 $1,064 2,612 — 2,612 
Net investment income1,023 — 1,023 
Net realized gains (losses)(165)— (165)
Equity in net income (loss) of investments accounted for using the equity method278 — 278 
Other income (loss)27 — 27 
Corporate expenses (96)— (96)
Transaction costs and other(6)— (6)
Amortization of intangible assets(95)— (95)
Interest expense(133)— (133)
Net foreign exchange gains (losses)(60)— (60)
Income (loss) before income taxes and income (loss) from operating affiliates3,385 — 3,385 
Income tax (expense) benefit873 — 873 
Income (loss) from operating affiliates184 — 184 
Net income (loss)4,442 — 4,442 
Amounts attributable to redeemable noncontrolling interests— 
Net income (loss) available to Arch4,443 — 4,443 
Preferred dividends(40)— (40)
Net income (loss) available to Arch common shareholders$4,403 $— $4,403 
Underwriting Ratios
Loss ratio57.3 %55.3 %-8.9 %50.2 %— %50.2 %
Acquisition expense ratio19.4 %21.2 %1.4 %18.6 %— %18.6 %
Other operating expense ratio15.0 %4.9 %16.8 %10.5 %— %10.5 %
Combined ratio91.7 %81.4 %9.3 %79.3 %— %79.3 %
Goodwill and intangible assets$224 $130 $377 $731 $— $731 
Total investable assets$34,589 $— $34,589 
Total assets58,906 — 58,906 
Total liabilities40,551 — 40,551 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
Year Ended December 31, 2022
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$6,931 $6,948 $1,455 $15,327 $— $15,327 
Premiums ceded (1)(1,910)(2,024)(322)(4,249)— (4,249)
Net premiums written5,021 4,924 1,133 11,078 — 11,078 
Change in unearned premiums(461)(965)27 (1,399)— (1,399)
Net premiums earned4,560 3,959 1,160 9,679 — 9,679 
Other underwriting income— 13 — 13 
Losses and loss adjustment expenses(2,784)(2,568)324 (5,028)— (5,028)
Acquisition expenses, net(887)(813)(40)(1,740)— (1,740)
Other operating expenses(665)(268)(195)(1,128)— (1,128)
Underwriting income (loss)$224 $315 $1,257 1,796 — 1,796 
Net investment income496 — 496 
Net realized gains (losses)(663)— (663)
Equity in net income (loss) of investments accounted for using the equity method115 — 115 
Other income (loss)(27)— (27)
Corporate expenses(95)— (95)
Transaction costs and other— — — 
Amortization of intangible assets(106)— (106)
Interest expense(131)— (131)
Net foreign exchange gains (losses)102 — 102 
Income (loss) before income taxes and income (loss) from operating affiliates1,487 — 1,487 
Income tax (expense) benefit(80)— (80)
Income (loss) from operating affiliates75 — 75 
Net income (loss)1,482 — 1,482 
Amounts attributable to redeemable noncontrolling interests(6)— (6)
Net income (loss) available to Arch1,476 — 1,476 
Preferred dividends(40)— (40)
Net income (loss) available to Arch common shareholders$1,436 $— $1,436 
Underwriting Ratios
Loss ratio61.0 %64.9 %-28.0 %51.9 %— %51.9 %
Acquisition expense ratio19.4 %20.5 %3.5 %18.0 %— %18.0 %
Other operating expense ratio14.6 %6.8 %16.8 %11.7 %— %11.7 %
Combined ratio95.0 %92.2 %-7.7 %81.6 %— %81.6 %
Goodwill and intangible assets$229 $145 $430 $804 $— $804 
Total investable assets$28,065 $— $28,065 
Total assets47,990 — 47,990 
Total liabilities35,069 — 35,069 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
Year Ended December 31, 2021
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$5,868 $5,094 $1,508 $12,463 $458 $12,752 
Premiums ceded (1)(1,719)(1,840)(247)(3,799)(105)(3,735)
Net premiums written4,149 3,254 1,261 8,664 353 9,017 
Change in unearned premiums(524)(413)22 (915)(20)(935)
Net premiums earned3,625 2,841 1,283 7,749 333 8,082 
Other underwriting income— 18 21 — 21 
Losses and loss adjustment expenses(2,345)(1,925)(57)(4,327)(258)(4,585)
Acquisition expenses, net(606)(537)(97)(1,240)(63)(1,303)
Other operating expenses(559)(214)(193)(966)(33)(999)
Underwriting income (loss)$115 $168 $954 1,237 (21)1,216 
Net investment income347 42 389 
Net realized gains (losses)299 81 380 
Equity in net income (loss) of investments accounted for using the equity method366 — 366 
Other income (loss)10 — 10 
Corporate expenses(76)— (76)
Transaction costs and other(1)(1)(2)
Amortization of intangible assets(81)(1)(82)
Interest expense(131)(8)(139)
Net foreign exchange gains (losses)42 (1)41 
Income (loss) before income taxes and income (loss) from operating affiliates2,012 91 2,103 
Income tax (expense) benefit(128)— (128)
Income (loss) from operating affiliates264 — 264 
Net income2,148 91 2,239 
Amounts attributable to redeemable noncontrolling interests(2)(2)(4)
Amounts attributable to nonredeemable noncontrolling interests— (78)(78)
Net income (loss) available to Arch2,148 2,157 
Preferred dividends(48)— (48)
Loss on redemption of preferred shares(15)— (15)
Net income (loss) available to Arch common shareholders$2,085 $$2,094 
Underwriting Ratios
Loss ratio64.6 %67.8 %4.4 %55.8 %78.0 %56.7 %
Acquisition expense ratio16.7 %18.9 %7.6 %16.0 %18.9 %16.1 %
Other operating expense ratio15.4 %7.5 %15.1 %12.5 %9.9 %12.4 %
Combined ratio96.7 %94.2 %27.1 %84.3 %106.8 %85.2 %
Goodwill and intangible assets$256 $184 $505 $945 $— $945 
Total investable assets$27,442 $— $27,442 
Total assets45,101 — 45,101 
Total liabilities31,546 — 31,546 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
Summary of information regarding net premiums written and earned by major line of business and net premiums written by location
The following tables provide summary information regarding net premiums earned by major line of business and net premiums written by underwriting location:
INSURANCE SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Professional lines$1,419 $1,314 $943 
Property, energy, marine and aviation1,064772668
Programs658590507
Construction and national accounts561432417
Travel, accident and health557492256
Excess and surplus casualty486393318
Warranty and lenders solutions185128153
Other 516439363
Total$5,446 $4,560 $3,625 
Net premiums written by underwriting location (1)
United States$3,780 $3,342 $2,812 
Europe1,7741,4051,126
Other308 274 211 
Total$5,862 $5,021 $4,149 
REINSURANCE SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Other specialty$2,097 $1,378 $819 
Property excluding property catastrophe1,6451,090838
Casualty1,005855667
Property catastrophe742367280
Marine and aviation229159153
Other11811084
Total$5,836 $3,959 $2,841 
Net premiums written by underwriting location (1)
United States$1,756 $1,247 $829 
Bermuda3,2882,5611,555 
Europe and other1,5101,116870 
Total$6,554 $4,924 $3,254 
MORTGAGE SEGMENTYear Ended December 31,
202320222021
Net premiums earned
U.S. primary mortgage insurance$759 $804 $953 
U.S. credit risk transfer (CRT) and other220196181
International mortgage insurance/reinsurance179160149
Total$1,158 $1,160 $1,283 
Net premiums written by underwriting location
United States$743 $781 $913 
Other309 352 348 
Total$1,052 $1,133 $1,261 

(1)    Segment results include intersegment transactions.
OTHER SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Casualty $— $— $138 
Other specialty— — 118 
Property catastrophe— — 15 
Property excluding property catastrophe— — 
Marine and aviation— — — 
Other — — 55 
Total$— $— $333 
Net premiums written by underwriting location (1)
United States$— $— $63 
Europe— — 91 
Bermuda— — 199 
Total$— $— $353 
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Reserve for Losses and Loss Adjustment Expenses (Tables)
12 Months Ended
Dec. 31, 2023
Liability for Future Policy Benefits and Unpaid Claims and Claims Adjustment Expense [Abstract]  
Analysis of losses and loss adjustment expenses and reconciliation of beginning and ending reserve balances
The following table represents an analysis of losses and loss adjustment expenses and a reconciliation of the beginning and ending reserve for losses and loss adjustment expenses:
Year Ended December 31,
202320222021
Reserve for losses and loss adjustment expenses at beginning of year$20,032 $17,757 $16,514 
Unpaid losses and loss adjustment expenses recoverable6,280 5,599 4,315 
Net reserve for losses and loss adjustment expenses at beginning of year13,752 12,158 12,199 
Net incurred losses and loss adjustment expenses relating to losses occurring in:
Current year6,784 5,797 4,940 
Prior years(538)(769)(355)
Total net incurred losses and loss adjustment expenses6,246 5,028 4,585 
Net losses and loss adjustment expense reserves of acquired business (1)— — 104 
Retroactive reinsurance transactions (2)— — (444)
Impact of deconsolidation of Somers (3)— — (1,461)
Foreign exchange (gains) losses and other157 (293)
Net paid losses and loss adjustment expenses relating to losses occurring in:
Current year(1,081)(888)(734)
Prior years(3,012)(2,253)(2,093)
Total net paid losses and loss adjustment expenses(4,093)(3,141)(2,827)
Net reserve for losses and loss adjustment expenses at end of year16,062 13,752 12,158 
Unpaid losses and loss adjustment expenses recoverable6,690 6,280 5,599 
Reserve for losses and loss adjustment expenses at end of year$22,752 $20,032 $17,757 
(1)    Represents activity related to the Company’s acquisitions in the 2021 period. See note 2, “Acquisitions.”
(2)    See ‘Retroactive Reinsurance Transactions’ section.
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Short Duration Contracts (Tables)
12 Months Ended
Dec. 31, 2023
Short Duration Contracts Disclosure [Abstract]  
Levels of disaggregation
The Company’s reserves for losses and loss adjustment expenses primarily relate to short-duration contracts with various characteristics (e.g., type of coverage, geography, claims duration). The Company considered such information in determining the level of disaggregation for disclosures related to its short-duration contracts, as detailed in the table below:
Reportable segmentLevel of disaggregationIncluded lines of business
InsuranceProperty energy, marine and aviationProperty energy, marine and aviation
Third party occurrence business
Excess and surplus casualty (excluding contract binding); construction and national accounts; and other (including alternative market risks, excess workers’ compensation and employer’s liability insurance coverages)
Third party claims-made businessProfessional lines
Multi-line and other specialty
Programs; contract binding (part of excess and surplus casualty); travel, accident and health; warranty and lenders solutions; and other (contract and commercial surety coverages)
ReinsuranceCasualtyCasualty
Property catastropheProperty catastrophe
Property excluding property catastropheProperty excluding property catastrophe
Marine and aviationMarine and aviation
Other specialtyOther specialty
MortgageDirect mortgage insurance in the U.S.Mortgage insurance on U.S. primary exposures
Claims Development [Line Items]  
Reconciliation of claims development to liability
The following table represents a reconciliation of the disclosures of net incurred and paid loss development tables to the reserve for losses and loss adjustment expenses at December 31, 2023:
December 31, 2023
Net outstanding liabilities
Insurance
Property, energy, marine and aviation
$824 
Third party occurrence business
3,601 
Third party claims-made business
2,352 
Multi-line and other specialty
1,348 
Reinsurance
Casualty
2,706 
Property catastrophe
563 
Property excluding property catastrophe
1,261 
Marine and aviation
357 
Other specialty
2,094 
Mortgage
U.S. primary310 
Other short duration lines not included in disclosures 284 
Total for short duration lines15,700 
Unpaid losses and loss adjustment expenses recoverable
Insurance
Property, energy, marine and aviation
359 
Third party occurrence business
2,025 
Third party claims-made business
1,001 
Multi-line and other specialty
246 
Reinsurance
Casualty
738 
Property catastrophe
519 
Property excluding property catastrophe
239 
Marine and aviation
240 
Other specialty
828 
Mortgage
U.S. primary33 
Other short duration lines not included in disclosures (1)468 
Intercompany eliminations(6)
Total for short duration lines6,690 
Lines other than short duration132 
Discounting(66)
Unallocated claims adjustment expenses296 
362 
Reserve for losses and loss adjustment expenses$22,752 
(1)    Includes unpaid loss and loss adjustment expenses recoverable of $225 million related to the loss portfolio transfer reinsurance agreements.
Insurance  
Claims Development [Line Items]  
Claims development tables
The following tables present information on the insurance segment’s short-duration insurance contracts:
Property, energy, marine and aviation (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$148 $146 $147 $136 $132 $134 $135 $135 $134 $133 $3,871 
2015112 110 104 102 98 92 92 91 89 4,530 
2016104 101 105 100 96 92 88 88 — 6,171 
2017281 246 236 230 231 225 225 6,475 
2018181 186 174 170 170 172 5,077 
2019179 179 165 161 159 (1)7,018 
2020359 329 336 333 8,212 
2021427 429 423 41 8,807 
2022522 495 74 13,274 
2023571 275 13,682 
Total$2,688 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$26 $54 $78 $84 $88 $98 $115 $122 $123 $125 
201524 65 76 86 88 86 87 88 86 
201625 83 98 97 95 91 87 87 
201730 140 196 212 216 218 220 
201830 102 135 143 150 154 
201926 105 134 139 148 
202056 194 251 293 
202190 268 343 
2022100 276 
2023146 
Total1,878 
All outstanding liabilities before 2014, net of reinsurance14 
Liabilities for losses and loss adjustment expenses, net of reinsurance$824 
Third party occurrence business (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$330 $336 $339 $343 $339 $344 $343 $343 $345 $344 $49 75,679 
2015359 392 399 392 391 382 386 379 377 66 78,689 
2016390 394 406 399 375 368 363 352 77 78,883 
2017417 418 422 412 407 406 405 100 84,687 
2018430 453 451 451 459 462 127 78,320 
2019456 487 481 471 470 154 86,139 
2020607 616 640 632 226 92,279 
2021622 663 659 290 92,672 
2022688 726 513 92,564 
2023877 750 72,833 
Total$5,304 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$$40 $71 $113 $162 $191 $211 $224 $237 $257 
201511 45 88 139 182 212 227 249 268 
201612 42 88 137 165 195 215 231 
201713 52 100 135 165 221 247 
201817 64 115 154 200 247 
201918 73 122 173 214 
202024 77 155 235 
202126 91 174 
202224 85 
202332 
Total1,990 
All outstanding liabilities before 2014, net of reinsurance287 
Liabilities for losses and loss adjustment expenses, net of reinsurance$3,601 
Third party claims-made business (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$264 $279 $299 $279 $281 $297 $291 $288 $296 $287 $14 14,494 
2015259 277 276 260 255 252 268 267 274 13 13,932 
2016275 291 308 314 322 327 330 327 18 14,912 
2017270 286 312 308 323 317 338 48 15,473 
2018273 314 320 336 347 367 44 17,098 
2019289 317 317 322 330 66 15,879 
2020383 413 423 446 118 15,239 
2021515 518 499 254 16,323 
2022669 655 448 18,563 
2023811 641 20,494 
Total$4,334 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$14 $63 $129 $173 $207 $229 $243 $249 $260 $266 
201552 100 126 174 193 217 221 242 
201611 68 127 158 205 242 257 296 
201768 113 143 196 233 258 
201812 68 118 158 208 258 
201912 65 122 155 197 
202017 87 152 215 
202123 90 163 
202225 100 
202364 
Total2,059 
All outstanding liabilities before 2014, net of reinsurance77 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,352 
Multi-line and other specialty (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$302 $326 $318 $318 $317 $313 $310 $309 $311 $310 $148,702 
2015335 358 357 365 357 349 347 345 345 180,468 
2016409 431 428 416 410 408 409 406 192,955 
2017482 501 491 501 504 513 516 235,539 
2018512 565 563 565 565 565 14 260,995 
2019567 612 640 651 657 21 252,766 
2020618 569 515 517 44 166,357 
2021635 619 614 76 114,447 
2022678 642 157 143,264 
2023817 450 118,241 
Total$5,389 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$108 $197 $234 $267 $281 $292 $293 $295 $296 $297 
2015138 236 278 306 321 327 330 331 333 
2016176 305 342 363 379 385 390 392 
2017181 342 381 423 446 472 480 
2018212 389 443 480 509 527 
2019212 386 487 549 577 
2020172 309 359 406 
2021157 335 428 
2022177 371 
2023254 
Total4,065 
All outstanding liabilities before 2014, net of reinsurance24 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,348 
Percentage annual payout by age
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2023:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Property, energy, marine and aviation
20.5 %43.7 %18.1 %6.0 %2.2 %1.0 %2.6 %1.9 %(0.4)%1.5 %
Third party occurrence business3.5 %9.4 %11.5 %11.4 %9.9 %9.8 %5.6 %4.6 %4.4 %5.6 %
Third party claims-made business
4.1 %15.5 %16.5 %11.1 %14.3 %10.1 %6.3 %5.2 %5.7 %2.0 %
Multi-line and other specialty34.0 %29.3 %11.3 %8.2 %4.5 %2.9 %1.1 %0.4 %0.4 %0.5 %
Reinsurance  
Claims Development [Line Items]  
Claims development tables
The following tables present information on the reinsurance segment’s short-duration insurance contracts:
Casualty (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$215 $220 $217 $230 $227 $237 $237 $234 $234 $241 $33 N/A
2015220 219 228 235 239 246 249 251 260 44 N/A
2016212 224 247 262 269 268 272 281 45 N/A
2017267 254 270 297 309 316 330 53 N/A
2018276 289 281 286 298 308 50 N/A
2019330 341 367 379 400 84 N/A
2020382 371 354 372 163 N/A
2021439 434 425 205 N/A
2022547 527 390 N/A
2023657 568 N/A
Total$3,801 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$$16 $41 $63 $91 $114 $134 $145 $153 $160 
201520 47 71 96 120 137 152 170 
201626 52 87 113 132 157 172 
201730 64 113 137 164 189 
201831 106 129 155 182 
201916 58 97 130 219 
202018 50 90 132 
202115 53 102 
202218 61 
202318 
Total1,405 
All outstanding liabilities before 2014, net of reinsurance310 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,706 

Property catastrophe (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$44 $30 $25 $22 $20 $20 $19 $19 $19 $19 $— N/A
201533 18 12 — N/A
201624 17 13 N/A
201786 54 50 36 24 21 22 (1)N/A
201871 49 30 17 N/A
201920 10 (7)N/A
2020269 333 337 326 17 N/A
2021314 308 294 13 N/A
2022303 295 41 N/A
2023267 76 N/A
Total$1,229 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$14 $20 $18 $19 $18 $19 $19 $19 $19 $19 
2015(3)(2)
2016(7)
201731 32 37 27 14 16 17 
201827 16 (13)(11)(9)
201911 (14)(13)
202056 158 207 249 
202165 171 222 
202270 169 
2023
Total668 
All outstanding liabilities before 2014, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance$563 
Property excluding property catastrophe (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$142 $117 $98 $90 $88 $84 $82 $80 $79 $79 $— N/A
2015214 188 184 188 187 176 173 167 167 N/A
2016175 145 137 135 139 136 130 130 N/A
2017268 250 237 230 214 206 202 N/A
2018224 239 235 212 202 203 N/A
2019216 206 195 190 190 N/A
2020368 340 320 320 15 N/A
2021545 497 491 38 N/A
2022742 668 119 N/A
2023835 414 N/A
Total$3,285 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$23 $62 $71 $76 $78 $78 $78 $78 $78 $78 
201575 119 149 160 165 159 159 159 160 
201633 94 98 104 111 114 115 115 
201728 125 156 164 179 182 186 
201830 108 152 167 175 177 
201943 124 150 162 169 
2020101 207 243 267 
2021136 270 364 
2022143 361 
2023152 
Total2,029 
All outstanding liabilities before 2014, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,261 

Marine and aviation (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$31 $29 $27 $25 $23 $23 $22 $22 $19 $18 $— N/A
201533 37 32 31 30 28 27 25 24 N/A
201627 23 23 19 17 15 12 11 N/A
201729 26 24 21 20 17 15 N/A
201827 26 24 24 21 21 N/A
201948 55 60 61 62 N/A
202083 76 79 80 10 N/A
2021110 96 81 18 N/A
2022126 138 59 N/A
2023161 127 N/A
Total$611 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$$$11 $12 $15 $15 $16 $16 $17 $17 
2015— 13 19 21 22 22 22 22 22 
2016(7)(2)— 
201711 12 12 12 
201811 13 14 15 
201911 21 29 35 43 
202026 42 60 
202124 45 
202212 37 
202313 
Total271 
All outstanding liabilities before 2014, net of reinsurance17 
Liabilities for losses and loss adjustment expenses, net of reinsurance$357 
Other specialty (in millions)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$337 $316 $318 $312 $307 $308 $304 $298 $296 $295 $N/A
2015280 278 276 273 273 270 259 258 255 N/A
2016326 323 316 307 314 309 306 307 N/A
2017398 390 372 372 370 366 363 15 N/A
2018416 409 404 428 424 423 29 N/A
2019427 406 400 395 405 40 N/A
2020593 524 519 539 61 N/A
2021610 611 613 80 N/A
2022953 935 225 N/A
20231,348 817 N/A
Total$5,483 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2014$96 $186 $229 $248 $258 $271 $275 $278 $280 $282 
201583 162 197 211 224 236 239 240 241 
2016108 205 242 261 277 283 289 293 
2017136 256 298 313 326 337 346 
2018130 276 315 336 353 376 
2019121 211 277 303 325 
2020134 293 370 405 
2021152 311 432 
2022182 464 
2023244 
Total3,408 
All outstanding liabilities before 2014, net of reinsurance19 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,094 
Percentage annual payout by age
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2023:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Casualty
2.8 %7.7 %12.1 %10.4 %11.4 %8.5 %7.8 %5.3 %5.2 %2.9 %
Property catastrophe56.0 %(17.5)%47.2 %(41.9)%(6.2)%10.9 %2.4 %1.1 %(1.7)%— %
Property excluding property catastrophe
25.0 %38.2 %14.2 %6.0 %4.4 %0.2 %0.7 %0.1 %0.4 %0.4 %
Marine and aviation
3.0 %28.8 %20.0 %13.0 %10.6 %3.4 %2.2 %1.0 %3.8 %0.4 %
Other specialty28.6 %29.9 %13.9 %5.7 %4.5 %3.9 %1.7 %0.9 %0.6 %1.0 %
Mortgage  
Claims Development [Line Items]  
Claims development tables
The following table presents information on the mortgage segment’s short-duration insurance contracts:
U.S. primary mortgage insurance (in millions except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2023
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of paid claims
Year ended December 31,
Accident year2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
unaudited
2023
2014$316 $297 $279 $266 $266 $261 $263 $263 $261 $259 — 6,332 
2015223 197 198 195 189 191 191 189 188 — 4,588 
2016184 171 149 141 142 142 137 136 — 3,462 
2017179 132 107 108 109 102 99 — 2,541 
2018132 96 89 88 72 69 — 1,763 
2019108 119 110 63 51 — 1,149 
2020420 374 78 33 — 492 
2021144 77 20 — 211 
2022173 55 — 135 
2023182 
Total$1,092 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
201420 129 202 234 247 254 256 257 257 258 
201516 92 151 171 180 183 184 185 186 
201611 72 113 127 131 132 132 133 
201748 79 87 90 92 93 
201831 50 56 59 60 
201920 29 34 39 
202013 
2021— 
2022— 
2023— 
Total790 
All outstanding liabilities before 2014, net of reinsurance
Liabilities for losses and loss adjustment expenses, net of reinsurance$310 
Percentage annual payout by age
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2023:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
U.S. Primary5.1 %29.1 %24.2 %10.7 %4.7 %1.8 %0.7 %0.5 %0.2 %0.1 %
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Allowance for Expected Credit Losses (Tables)
12 Months Ended
Dec. 31, 2023
Credit Loss [Abstract]  
Allowance for credit losses on premiums receivable
The following table provides a roll forward of the allowance for expected credit losses of the Company’s premium receivables:
Year Ended December 31, 2023Premium Receivables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$3,625 $35 
Change for provision of expected credit losses (1)(1)
Balance at end of period$4,644 $34 
Year Ended December 31, 2022
Balance at beginning of period$2,633 $40 
Change for provision of expected credit losses (1)(5)
Balance at end of period$3,625 $35 
(1) Amounts deemed uncollectible are written-off in operating expenses. For the 2023 and 2022 periods, amounts written off totaled $3 million and $11 million, respectively.
Allowance for credit losses on reinsurance recoverable
The following table provides a roll forward of the allowance for expected credit losses of the Company’s reinsurance recoverables:
Year Ended December 31, 2023Reinsurance Recoverables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$6,564 $22 
Change for provision of expected credit losses(1)
Balance at end of period$7,064 $21 
Year Ended December 31, 2022
Balance at beginning of period$5,881 $13 
Change for provision of expected credit losses
Balance at end of period6,564 $22 
Summary of reinsurance recoverables on paid and unpaid losses
The following table summarizes the Company’s reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) at December 31, 2023 and 2022:
December 31,
20232022
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses$7,064$6,564
% due from carriers with A.M. Best rating of “A-” or better66.8 %68.8 %
% due from all other rated carriers0.1 %0.1 %
% due from all other carriers with no A.M. Best rating (1)33.1 %31.1 %
Largest balance due from any one carrier as % of total shareholders’ equity7.2 %9.0 %
(1)    At December 31, 2023 and 2022 period, over 95% of such amount were collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other, respectively.
Allowance for credit losses on contractholder receivables
The following table provides a roll forward of the allowance for expected credit losses of the Company’s contractholder receivables:
Year Ended December 31, 2023Contractholder Receivables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$1,731 $
Change for provision of expected credit losses— 
Balance at end of period$1,814 $
Year Ended December 31, 2022
Balance at beginning of period$1,829 $
Change for provision of expected credit losses— 
Balance at end of period1,731 $
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Reinsurance (Tables)
12 Months Ended
Dec. 31, 2023
Reinsurance Disclosures [Abstract]  
Effects of reinsurance
The effects of reinsurance on the Company’s written and earned premiums and losses and loss adjustment expenses with unaffiliated reinsurers were as follows:
Year Ended December 31,
202320222021
Premiums Written
Direct$9,652 $8,542 $7,707 
Assumed8,751 6,785 5,045 
Ceded(4,935)(4,249)(3,735)
Net$13,468 $11,078 $9,017 
Premiums Earned
Direct$9,131 $8,058 $7,150 
Assumed7,890 5,768 4,334 
Ceded(4,581)(4,147)(3,402)
Net$12,440 $9,679 $8,082 
Losses and Loss Adjustment Expenses
Direct$4,739 $3,991 $4,267 
Assumed3,975 3,558 2,826 
Ceded(2,468)(2,521)(2,508)
Net$6,246 $5,028 $4,585 
Coverage and retention
The following table summarizes the respective coverages and retentions at December 31, 2023:
Bellemeade Entities
(Issue Date)
Initial Coverage at IssuanceCurrent
Coverage
Remaining Retention, Net
2019-1 Ltd. (1)342 71 134 
2019-3 Ltd. (2)701 99 218 
2021-3 Ltd. (3)639 541 134 
2022-1 Ltd. (4)317 282 141 
2022-2 Ltd. (5)327 327 205 
2023-1 Ltd. (6)233 233 185 
Total$2,559 $1,553 $1,017 
(1)    Issued in March 2019, covering in-force policies primarily issued between 2005 to 2008 under United Guaranty Residential Insurance Company (“UGRIC”); as well as policies issued through 2015 under both UGRIC and Arch Mortgage Insurance Company.
(2)    Issued in July 2019, covering in-force policies issued in 2016.
(3)    Issued in September 2021, covering in-force policies issued between April 1, 2021 and June 30, 2021. $508 million was directly funded by Bellemeade Re 2021-3 Ltd. via insurance-linked notes, with an additional $131 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(4)    Issued in January 2022, covering in-force policies issued between July 1, 2021 and November 30, 2021. $284 million was directly funded by Bellemeade Re 2022-1 Ltd. via insurance-linked notes, with an additional $33 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(5)    Issued in September 2022, covering in-force policies issued between November 1, 2021 and June 30, 2022. $201 million was directly funded by Bellemeade Re 2022-2 Ltd. via insurance-linked notes, with an additional $126 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(6)    Issued in October 2023, covering in-force policies issued between January 1, 2023 and September 30, 2023. $187 million was directly funded by Bellemeade Re 2023-1 Ltd. via insurance-linked notes, with an additional $47 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.

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Investment Information (Tables)
12 Months Ended
Dec. 31, 2023
Disclosure Investment Information [Abstract]  
Summary of fair value and cost or amortized cost of available for sale securities
The following table summarizes the fair value and cost or amortized cost of the Company’s securities classified as available for sale:
Estimated
Fair
Value
Gross Unrealized GainsGross Unrealized LossesAllowance for Expected Credit LossesCost or
Amortized
Cost
December 31, 2023
Fixed maturities:
Corporate bonds$10,855 $157 $(464)$(20)$11,182 
U.S. government and government agencies5,814 63 (86)— 5,837 
Asset backed securities2,250 11 (55)(5)2,299 
Non-U.S. government securities2,062 33 (100)(1)2,130 
Commercial mortgage backed securities1,213 (34)(2)1,246 
Residential mortgage backed securities1,103 (66)— 1,162 
Municipal bonds256 (20)— 275 
Total23,553 275 (825)(28)24,131 
Short-term investments2,063 (2)— 2,064 
Total$25,616 $276 $(827)$(28)$26,195 
December 31, 2022
Fixed maturities:
Corporate bonds$8,020 $55 $(781)$(30)$8,776 
U.S. government and government agencies5,162 15 (343)— 5,490 
Asset backed securities1,927 (107)(6)2,039 
Non-U.S. government securities2,313 (238)(2)2,544 
Commercial mortgage backed securities1,047 (58)(3)1,107 
Residential mortgage backed securities795 (87)— 877 
Municipal bonds419 (33)— 449 
Total19,683 89 (1,647)(41)21,282 
Short-term investments1,332 (2)— 1,333 
Total$21,015 $90 $(1,649)$(41)$22,615 
Summary of available for sale securities in a continual unrealized loss position
The following table summarizes, for all available for sale securities in an unrealized loss position, the fair value and gross unrealized loss by length of time the security has been in a continual unrealized loss position:
Less than 12 Months12 Months or MoreTotal
Estimated Fair
Value
Gross Unrealized LossesEstimated Fair
Value
Gross Unrealized LossesEstimated Fair
Value
Gross Unrealized Losses
December 31, 2023
Fixed maturities:
Corporate bonds$1,559 $(45)$4,959 $(419)$6,518 $(464)
U.S. government and government agencies1,066 (10)941 (76)2,007 (86)
Non-U.S. government securities365 (4)897 (96)1,262 (100)
Residential mortgage backed securities221 (3)522 (63)743 (66)
Asset backed securities234 (1)1,112 (54)1,346 (55)
Commercial mortgage backed securities100 (1)909 (33)1,009 (34)
Municipal bonds20 (1)215 (19)235 (20)
Total3,565 (65)9,555 (760)13,120 (825)
Short-term investments302 (2)— — 302 (2)
Total$3,867 $(67)$9,555 $(760)$13,422 $(827)
December 31, 2022
Fixed maturities:
Corporate bonds$4,823 $(393)$2,559 $(388)$7,382 $(781)
U.S. government and government agencies3,557 (197)1,443 (146)5,000 (343)
Non-U.S. government securities1,703 (154)542 (84)2,245 (238)
Residential mortgage backed securities546 (52)154 (35)700 (87)
Asset backed securities1,148 (66)512 (41)1,660 (107)
Commercial mortgage backed securities598 (35)445 (23)1,043 (58)
Municipal bonds364 (30)16 (3)380 (33)
Total12,739 (927)5,671 (720)18,410 (1,647)
Short-term investments237 (2)— — 237 (2)
Total$12,976 $(929)$5,671 $(720)$18,647 $(1,649)
Contractual maturities of the Company's fixed maturities and fixed maturities pledged under securities lending arrangements
December 31, 2023December 31, 2022
Maturity
Estimated Fair Value
Amortized Cost
Estimated Fair Value
Amortized Cost
Due in one year or less$480 $499 $511 $537 
Due after one year through five years12,924 13,101 11,016 11,715 
Due after five years through 10 years5,249 5,450 3,984 4,527 
Due after 10 years334 374 403 480 
18,987 19,424 15,914 17,259 
Mortgage backed securities1,103 1,162 795 877 
Commercial mortgage backed securities1,213 1,246 1,047 1,107 
Asset backed securities2,250 2,299 1,927 2,039 
Total$23,553 $24,131 $19,683 $21,282 
Components of net investment income
The components of net investment income were derived from the following sources:
Year Ended December 31,
202320222021
Fixed maturities$917 $469 $331 
Short-term investments68 29 
Equity securities22 22 42 
Term loans— — 30 
Other (1)93 47 68 
Gross investment income1,100 567 478 
Investment expenses(77)(71)(89)
Net investment income$1,023 $496 $389 
(1)    Includes interest income on operating cash, distributions from investment funds and other items.
Summary of net realized gains (losses)
Net realized gains (losses) were as follows:
Year Ended December 31,
202320222021
Available for sale securities:
Gross gains on investment sales$116 $81 $314 
Gross losses on investment sales(547)(317)(157)
Change in fair value of assets and liabilities accounted for using the fair value option:
Fixed maturities18 (71)
Other investments27 (21)117 
Equity securities(4)13 
Short-term investments— (3)
Equity securities, at fair value :
Net realized gains (losses) on securities sold61 75 123 
Net unrealized gains (losses) on equity securities still held at reporting date88 (267)49 
Allowance for credit losses:
Investments related(44)(1)
Underwriting related(1)(13)— 
Derivative instruments (1)59 (75)(33)
Other (2)10 (4)(55)
Net realized gains (losses)$(165)$(663)$380 
(1)    See note 11, “Derivative Instruments” for information on the Company’s derivative instruments.
(2)    2021 period reflected $33 million of losses related to the Company’s
deconsolidation of Somers.
Other investments
The following table summarizes the Company’s other investments and other investable assets:
December 31,
20232022
Other investments$1,777 $1,043 
Fixed maturities683 554 
Equity securities14 
Short-term investments21 33 
Total other investments$2,488 $1,644 
The following table summarizes the Company’s other investments, as detailed in the previous table, by strategy:

December 31,

2023

2022
Lending427 406 
Investment grade fixed income754 271 
Term loan investments272 164 
Private equity182 123 
Credit related funds124 56 
Energy18 23 
Total
$1,777 $1,043 
Investments accounted for using the equity method
The following table summarizes the Company’s investments accounted for using the equity method, by strategy:

December 31,

20232022
Credit related funds$1,258 $1,136 
Private equity1,175 917 
Real estate666 535 
Lending597 531 
Infrastructure320 245 
Fixed income277 130 
Equities178 169 
Energy95 111 
Total
$4,566 $3,774 
A summary of financial information for the Company’s investment funds and operating affiliates accounted for using the equity method is as follows:
December 31,
20232022
Invested assets$91,534 $74,961 
Total assets108,952 88,063 
Total liabilities33,901 27,553 
Net assets$75,051 $60,510 
Year Ended December 31,
202320222021
Total revenues$7,766 $12,305 $11,786 
Total expenses7,174 5,374 3,239 
Net income (loss)$592 $6,931 $8,547 
Summary of investments in limited partnership interests where the Company has a variable interest
The following table summarizes investments in limited partnership interests where the Company has a variable interest by balance sheet item:
December 31,
20232022
Investments accounted for using the equity method (1)$4,566 $3,774 
Investments accounted for using the fair value option (2)114 130 
Total$4,680 $3,904 
(1)     Aggregate unfunded commitments were $3.4 billion at December 31, 2023, consistent with $2.6 billion at December 31, 2022.
(2)    Aggregate unfunded commitments were $32 million at December 31, 2023, compared to $17 million at December 31, 2022.
Roll forward of the allowance for expected credit losses of securities classified as available for sale
The following table provides a roll forward of the allowance for expected credit losses of the Company’s securities classified as available for sale:
Year Ended December 31, 2023Structured Securities (1)Non-U.S. Government SecuritiesCorporate
Bonds
Total
Balance at beginning of period$$$30 $41 
Additions for current-period provision for expected credit losses— 
Additions (reductions) for previously recognized expected credit losses(3)— (7)(10)
Reductions due to disposals(1)(1)(8)(10)
Balance at end of period$$$20 $28 
Year Ended December 31, 2022
Balance at beginning of period$$— $$
Additions for current-period provision for expected credit losses14 39 55 
Additions (reductions) for previously recognized expected credit losses (4)— (9)(13)
Reductions due to disposals(2)— (2)(4)
Balance at end of period$$$30 $41 
(1)    Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
Summary of restricted assets
The following table details the value of the Company’s restricted assets:
December 31,
20232022
Assets used for collateral or guarantees:
Affiliated transactions$4,854 $4,254 
Third party agreements2,869 2,633 
Deposits with U.S. regulatory authorities833 776 
Other (1)1,376 1,038 
Total restricted assets $9,932 $8,701 
(1) Primarily includes Funds at Lloyds, deposits with non-U.S. regulatory authorities and other restricted assets.
Reconciliation of cash and restricted cash
The following table details reconciliation of cash and restricted cash within the Consolidated Balance Sheets:
December 31,
202320222021
Cash$917 $855 $859 
Restricted cash (included in ‘other assets’)581 418 455 
Cash and restricted cash$1,498 $1,273 $1,314 
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Fair Value (Tables)
12 Months Ended
Dec. 31, 2023
Fair Value Disclosures [Abstract]  
Fair value hierarchy
The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2023:
Fair Value Measurement Using:
Estimated
Fair Value
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Other Observable Inputs
(Level 2)
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value:
Available for sale securities:
Fixed maturities:
Corporate bonds$10,855 $— $10,708 $147 
U.S. government and government agencies5,814 5,792 22 — 
Asset backed securities2,250 — 2,250 — 
Non-U.S. government securities2,062 — 2,062 — 
Commercial mortgage backed securities1,213 — 1,213 — 
Residential mortgage backed securities1,103 — 1,103 — 
Municipal bonds256 — 256 — 
Total23,553 5,792 17,614 147 
Short-term investments2,063 1,786 193 84 
Equity securities, at fair value1,186 1,151 30 
Derivative instruments (2)197 — 197 — 
Residential mortgage loans— — 
Fair value option:
Corporate bonds662 — 662 — 
Non-U.S. government bonds— — 
Asset backed securities— — 
U.S. government and government agencies13 13 — — 
Short-term investments21 — 11 10 
Equity securities— 
Other investments316 — 210 106 
Other investments measured at net asset value (1)1,461 
Total2,488 16 891 120 
Total assets measured at fair value$29,489 $8,745 $18,927 $356 
Liabilities measured at fair value:
Other liabilities$(22)$— $— $(22)
Derivative instruments (2)(119)— (119)— 
Total liabilities measured at fair value$(141)$— $(119)$(22)
(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2022:
Fair Value Measurement Using:
Estimated
Fair Value
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Other Observable Inputs
(Level 2)
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value:
Available for sale securities:
Fixed maturities:
Corporate bonds$8,020 $— $7,899 $121 
U.S. government and government agencies5,162 5,145 17 — 
Asset backed securities1,927 — 1,927 — 
Non-U.S. government securities2,313 — 2,313 — 
Commercial mortgage backed securities1,047 — 1,047 — 
Residential mortgage backed securities795 — 795 — 
Municipal bonds419 — 419 — 
Total19,683 5,145 14,417 121 
Equity securities, at fair value860 829 28 
Short-term investments1,332 1,198 134 — 
Derivative instruments (2)149 — 149 — 
Residential mortgage loans— — 
Fair value option:
Corporate bonds543 — 543 — 
Non-U.S. government bonds— — 
Asset backed securities— — 
U.S. government and government agencies— — 
Short-term investments33 32 — 
Equity securities14 10 — 
Other investments196 — 163 33 
Other investments measured at net asset value (1)847 
Total1,644 16 744 37 
Total assets measured at fair value$23,670 $7,188 $15,474 $161 
Liabilities measured at fair value:
Other liabilities$(14)$— $— $(14)
Derivative instruments (2)(76)— (76)— 
Total liabilities measured at fair value$(90)$— $(76)$(14)
(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
Rollforward of Level 3 investments
The following table presents a reconciliation of the beginning and ending balances for all financial assets and liabilities measured at fair value on a recurring basis using Level 3 inputs for 2023 and 2022:
Assets
Liabilities
Available For Sale
Fair Value Option
Fair Value
Structured Securities (1)
Corporate Bonds
Short-term
Investments
Other Investments
Short-term
Investments
Equity Securities
Equity Securities
Other
Liabilities
Year Ended December 31, 2023
Balance at beginning of year
$— $121 $— $33 $— $$$(14)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)
— — (5)— — — (1)
Included in other comprehensive income— (1)— — — — — — 
Purchases, issuances, sales and settlements
Purchases
— 111 84 107 11 — — 
Issuances
— — — — — — — (9)
Sales
— — — (10)— — — — 
Settlements
— (85)— (19)(1)— — 
Transfers in and/or out of Level 3
— — — — — — — — 
Balance at end of year
$— $147 $84 $106 $10 $$$(22)
Year Ended December 31, 2022
Balance at beginning of year
$$— $— $28 $— $$$(17)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)
(1)— — (1)— (1)— — 
Included in other comprehensive income— (1)— — — — — 
Purchases, issuances, sales and settlements
Purchases
— 150 — 12 — — — 
Issuances
— — — — — — — — 
Sales
(2)(6)— (3)— — — — 
Settlements
— (26)— (3)— — — 
Transfers in and/or out of Level 3
— — — — — — — 
Balance at end of year
$— $121 $— $33 $— $$$(14)
(1)    Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(2)    Gains or losses were included in net realized gains (losses).
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Derivative Instruments (Tables)
12 Months Ended
Dec. 31, 2023
Derivative Instruments and Hedging Activities Disclosure [Abstract]  
Fair value and notional amount of derivatives
The following table summarizes information on the fair values and notional values of the Company’s derivative instruments:
Estimated Fair Value
 Asset
Derivatives (1)
Liability Derivatives (1)Notional
Value (2)
December 31, 2023   
Futures contracts$139 $(61)$3,746 
Foreign currency forward contracts27 (32)1,224 
Other (3)31 (26)512 
Total$197 $(119)
December 31, 2022   
Futures contracts$51 $(17)$3,138 
Foreign currency forward contracts39 (35)1,136 
Other (3)59 (24)3,592 
Total$149 $(76)

(1)    The fair value of asset derivatives are included in ‘other assets’ and the fair value of liability derivatives are included in ‘other liabilities.’
(2)    Represents the absolute notional value of all outstanding contracts, consisting of long and short positions.
(3)    Includes swaps, options and other derivatives contracts.
Summary of net realized gains (losses) recorded in the consolidated statements of income
Realized and unrealized contract gains and losses on the Company’s derivative instruments are reflected in ‘net realized gains (losses)’ in the consolidated statements of income, as summarized in the following table:
Derivatives not designated as hedging instruments
Year Ended December 31,
202320222021
Net realized gains (losses):
Futures contracts$49 $(86)$(16)
Foreign currency forward contracts21 (40)
Other(11)23 
Total$59 $(75)$(33)
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Variable Interest Entity and Noncontrolling Interests (Tables)
12 Months Ended
Dec. 31, 2023
Variable Interest Entity and Noncontrolling Interest Disclosure [Abstract]  
Summary of VIE cash flows
The following table summarizes Somers’ cash flow from operating, investing and financing activities.
Year Ended December 31,
202320222021
Total cash provided by (used for):
Operating activities— — 47 
Investing activities— — 96 
Financing activities— — (2)
Activity in redeemable noncontrolling interest
The following table sets forth activity in the redeemable noncontrolling interests:
December 31,
 2023

20222021
Balance, beginning of year$11 $$58 
Impact of deconsolidation of Somers— — (49)
Other(9)— 
Balance, end of year$$11 $
Portion of income or loss attributable to noncontrolling interests
The portion of income or loss attributable to third party investors is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests’ as summarized in the table below:
December 31,
 202320222021
Amounts attributable to non-redeemable noncontrolling interests$— $— $(78)
Amounts attributable to redeemable noncontrolling interests(6)(4)
Net (income) loss attributable to noncontrolling interests$$(6)$(82)
Total assets and maximum loss exposure of VIE

December 31, 2023December 31, 2022
Bellemeade Entities
 (Issue Date)
Total VIE AssetsCoverage
Remaining from
Reinsurers (1)
Total VIE Assets
2017-1 Ltd. (Oct-17)$— $— $37 
2018-1 Ltd. (Apr-18) (2)— — 90 
2018-3 Ltd. (Oct-18)— — 199 
2019-1 Ltd. (Mar-19)71 — 108 
2019-2 Ltd. (Apr-19) (2)— — 325 
2019-3 Ltd. (Jul-19)99 — 223 
2019-4 Ltd. (Oct-19) (2)— — 266 
2020-2 Ltd. (Sep-20) (2)— — 105 
2020-3 Ltd. (Nov-20) (2)— — 244 
2020-4 Ltd. (Dec-20) (2)— — 98 
2021-1 Ltd. (Mar-21) (2)— — 467 
2021-2 Ltd. (Jun-21) (2)— — 458 
2021-3 Ltd. (Sep-21)429 112 490 
2022-1 Ltd. (Jan-22)256 26 284 
2022-2 Ltd. (Sep-22)201 126 201 
2023-1 Ltd. (Oct-23)186 47 
Total$1,242 $311 $3,595 
(1) Coverage from a separate panel of reinsurers remaining at December 31, 2023.
(2) Agreements terminated in the 2023 fourth quarter.
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Other Comprehensive Income (Tables)
12 Months Ended
Dec. 31, 2023
Comprehensive Income Note Disclosure [Abstract]  
Schedule of changes in each component of AOCI
The following table presents the changes in each component of AOCI, net of noncontrolling interests:
Unrealized Appreciation on Available-For-Sale InvestmentsForeign Currency Translation AdjustmentsTotal
Year Ended December 31, 2023
Beginning balance$(1,512)$(134)$(1,646)
Other comprehensive income (loss) before reclassifications547 23 570 
Amounts reclassified from accumulated other comprehensive income400 — 400 
Net current period other comprehensive income (loss)947 23 970 
Ending balance$(565)$(111)$(676)
Year Ended December 31, 2022
Beginning balance$13 $(78)$(65)
Other comprehensive income (loss) before reclassifications(1,772)(56)(1,828)
Amounts reclassified from accumulated other comprehensive income247 — 247 
Net current period other comprehensive income (loss)(1,525)(56)(1,581)
Ending balance$(1,512)$(134)$(1,646)
Year Ended December 31, 2021
Beginning balance$501 $(12)$489 
Other comprehensive income (loss) before reclassifications(371)(66)(437)
Amounts reclassified from accumulated other comprehensive income(117)— (117)
Net current period other comprehensive income (loss)(488)(66)(554)
Ending balance$13 $(78)$(65)
Details about amounts reclassified from AOCI
The following tables present details about amounts reclassified from accumulated other comprehensive income and the tax effects allocated to each component of other comprehensive income (loss):
Consolidated Statement of IncomeAmounts Reclassified from AOCI
Details AboutLine Item That IncludesYear Ended December 31,
 AOCI ComponentsReclassification202320222021
Unrealized appreciation on available-for-sale investments
Net realized gains (losses)$(431)$(235)$157 
Provision for credit losses(44)(2)
Total before tax(428)(279)155 
Income tax (expense) benefit28 32 (38)
Net of tax$(400)$(247)$117 
Schedule of tax effects allocated to each component of other comprehensive income (loss)
Following are the related tax effects allocated to each component of other comprehensive income (loss):
Before TaxTax ExpenseNet of Tax
Amount(Benefit)Amount
Year Ended December 31, 2023
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$617 $70 $547 
Less reclassification of net realized gains (losses) included in net income(428)(28)(400)
Foreign currency translation adjustments23 — 23 
Other comprehensive income (loss)$1,068 $98 $970 
Year Ended December 31, 2022
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$(2,009)$(237)$(1,772)
Less reclassification of net realized gains (losses) included in net income(279)(32)(247)
Foreign currency translation adjustments(56)— (56)
Other comprehensive income (loss)$(1,786)$(205)$(1,581)
Year Ended December 31, 2021
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$(408)$(22)$(386)
Less reclassification of net realized gains (losses) included in net income155 38 117 
Foreign currency translation adjustments(65)— (65)
Other comprehensive income (loss)$(628)$(60)$(568)
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Earnings Per Common Share (Tables)
12 Months Ended
Dec. 31, 2023
Earnings Per Share [Abstract]  
Schedule of computation of basic and diluted earnings per common share The following table sets forth the computation of basic and diluted earnings per common share:
Year Ended December 31,
202320222021
Numerator:
Net income$4,442 $1,482 $2,239 
Amounts attributable to noncontrolling interests(6)(82)
Net income available to Arch4,443 1,476 2,157 
Preferred dividends(40)(40)(48)
Loss on redemption of preferred shares— — (15)
Net income available to Arch common shareholders$4,403 $1,436 $2,094 
Denominator:
Weighted average common shares outstanding368.7 368.6 391.7 
Effect of dilutive common share equivalents:
Nonvested restricted shares2.5 2.1 2.0 
Stock options (1)7.6 6.9 6.6 
Weighted average common shares and common share equivalents outstanding – diluted378.8 377.6 400.3 
Earnings per common share:
Basic$11.94 $3.90 $5.35 
Diluted$11.62 $3.80 $5.23 
(1)    Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For 2023, 2022 and 2021, the number of stock options excluded were 0.5 million, 0.8 million and 2.4 million, respectively.
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Income Taxes (Tables)
12 Months Ended
Dec. 31, 2023
Income Tax Disclosure [Abstract]  
Components of income taxes attributable to operations
The components of income taxes attributable to operations were as follows:
Year Ended December 31,
202320222021
Current expense (benefit):
United States$251 $195 $284 
Non-U.S.37 11 
288 201 295 
Deferred expense (benefit):
United States(20)(96)(123)
Non-U.S.(1,141)(25)(44)
(1,161)(121)(167)
Income tax expense (benefit)$(873)$80 $128 
Schedule of income or loss before income taxes by jurisdiction
The Company’s income or loss before income taxes was earned in the following jurisdictions:
Year Ended December 31,
202320222021
Income (Loss) Before Income Taxes:
Bermuda$2,099 $986 $1,519 
United States1,239 401 643 
Other232 175 206 
Total$3,570 $1,562 $2,368 
Reconciliation of the differences between the provision for income taxes and the expected tax provision at the weighted average tax rate
A reconciliation of the difference between the provision for income taxes and the expected tax provision at the weighted average tax rate follows:
Year Ended December 31,
202320222021
Expected income tax expense (benefit) computed on pre-tax income at weighted average income tax rate$300 $110 $158 
Addition (reduction) in income tax expense (benefit) resulting from:
Investment income(14)(13)(24)
State taxes, net of U.S. federal tax benefit11 21 
Dividend withholding taxes11 12 
Change in valuation allowance(23)(40)
Base eroding tax— 
Share based compensation(13)(9)(5)
Tax credits(3)(10)— 
Change in tax rate(1,179)(5)— 
Other— 
Income tax expense (benefit)$(873)$80 $128 
Significant components of deferred income tax assets and liabilities
Significant components of the Company’s deferred income tax assets and liabilities were as follows:
December 31,
20232022
Deferred income tax assets:
Net operating loss$93 $77 
Discounting of net loss reserves219 78 
Net unearned premium reserve133 97 
Compensation liabilities64 55 
Foreign tax credit carryforward16 17 
Goodwill and intangible assets1,020 — 
Bad debt reserves16 17 
Depreciation and amortization133 141 
Lease liability31 27 
Net unrealized decline of investments89 193 
Lloyds year of account deferral— 
Fair value adjustment to senior notes41 — 
Other, net13 11 
Deferred income tax assets before valuation allowance1,868 714 
Valuation allowance(15)(7)
Deferred income tax assets net of valuation allowance1,853 707 
Deferred income tax liabilities:
Goodwill and intangibles— (39)
Lloyds year of account deferral(13)— 
Contingency reserve(50)(44)
Deferred policy acquisition costs(144)(64)
Investment related(13)(9)
Right-of-use asset(24)(21)
Total deferred income tax liabilities(245)(177)
Net deferred income tax assets$1,608 $530 
Summary of operating loss carryforwards
At December 31, 2023, the Company’s net operating loss carryforwards and tax credits were as follows:
Year Ended December 31,
2023
Expiration
Operating Loss Carryforwards
United Kingdom$198 No expiration
Ireland24 No expiration
Australia47 No expiration
Hong Kong32 No expiration
Gibraltar24 No expiration
CyprusNo expiration
United States (1)78 
2029 - 2038
Tax Credits
U.K. foreign tax credits10 No expiration
U.S. foreign tax credits2029 - 2033
(1) The Company’s U.S. operations have recorded $78 million of net operating loss (“NOL”) carryforwards that are subject to annual usage limitations under Section 382 of the Internal Revenue Code (“the Code”). The NOL limitations are related to acquisitions of the CMG entities in January 2014, Ventus Risk Management Inc. in August 2019, and Verifly Insurance Services, LLC, and Verifly USA Inc. in April 2023. In accordance with Section 382 of the Code, utilization of the acquired NOLs is limited to approximately $2 million per year through December 31, 2027, approximately $1 million through December 31, 2038, and $0.3 million thereafter.
Summary of tax credit carryforwards
At December 31, 2023, the Company’s net operating loss carryforwards and tax credits were as follows:
Year Ended December 31,
2023
Expiration
Operating Loss Carryforwards
United Kingdom$198 No expiration
Ireland24 No expiration
Australia47 No expiration
Hong Kong32 No expiration
Gibraltar24 No expiration
CyprusNo expiration
United States (1)78 
2029 - 2038
Tax Credits
U.K. foreign tax credits10 No expiration
U.S. foreign tax credits2029 - 2033
(1) The Company’s U.S. operations have recorded $78 million of net operating loss (“NOL”) carryforwards that are subject to annual usage limitations under Section 382 of the Internal Revenue Code (“the Code”). The NOL limitations are related to acquisitions of the CMG entities in January 2014, Ventus Risk Management Inc. in August 2019, and Verifly Insurance Services, LLC, and Verifly USA Inc. in April 2023. In accordance with Section 382 of the Code, utilization of the acquired NOLs is limited to approximately $2 million per year through December 31, 2027, approximately $1 million through December 31, 2038, and $0.3 million thereafter.
Reconciliation of the beginning and ending amount of unrecognized tax benefits A reconciliation of the beginning and ending amount of unrecognized tax benefits is as follows:
December 31,
20232022
Balance at beginning of year$$
Additions based on tax positions related to the current year— — 
Additions for tax positions of prior years— — 
Reductions for tax positions of prior years— — 
Settlements— — 
Balance at end of year$$
Summary of open tax years potentially subject to examination, by jurisdiction The following table details open tax years that are potentially subject to examination by local tax authorities, in the following major jurisdictions:
JurisdictionTax Years
United States
2019-2023
United Kingdom
2021-2023
Ireland
2018-2023
Canada
2019-2023
Switzerland
2019-2023
Denmark
2019-2023
Australia
2019-2023
XML 69 R53.htm IDEA: XBRL DOCUMENT v3.24.0.1
Leases (Tables)
12 Months Ended
Dec. 31, 2023
Leases [Abstract]  
Additional information regarding operating leases
Additional information regarding the Company’s operating leases is as follows:
December 31,
20232022
Operating lease costs$33 $34 
Sublease income (1)$(2)$(1)
Cash payments included in the measurement of lease liabilities reported in operating cash flows$31 $26 
Right-of-use assets obtained in exchange for new lease liabilities$28 $43 
Right-of-use assets (2)$125 $123 
Operating lease liability (2)$156 $152 
Weighted average discount rate4.7 %4.2 %
Weighted average remaining lease term7.2 years6.6 years
(1)    The sublease income primarily relates to office property in Raleigh, North Carolina.
(2)    The right-of-use assets are included in ‘other assets’ while the operating lease liability is included in ‘other liabilities.’
Contractual maturities of operating lease liabilities
The following table presents the contractual maturities of the Company's operating lease liabilities at December 31, 2023:
Years Ending December 31,
2024$32 
202527 
202626 
202722 
202819 
2029 and thereafter60 
Total undiscounted lease liability$186 
Less: present value adjustment(30)
Operating lease liability$156 
XML 70 R54.htm IDEA: XBRL DOCUMENT v3.24.0.1
Commitments and Contingencies (Tables)
12 Months Ended
Dec. 31, 2023
Commitments and Contingencies Disclosure [Abstract]  
Broker concentration risk The following table summarizes the percentage of the Company’s gross premiums written generated from or placed by the largest brokers:
Broker

Year Ended December 31,

202320222021
Marsh & McLennan Companies and its subsidiaries19.0 %17.3 %18.3 %
Aon Corporation and its subsidiaries13.9 %13.8 %12.2 %
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Debt and Financing Arrangements - (Tables)
12 Months Ended
Dec. 31, 2023
Debt Disclosure [Abstract]  
Schedule of senior notes
The Company’s senior notes payable at December 31, 2023 and 2022 were as follows:
Carrying Amount at
InterestPrincipal
December 31,
(Fixed)Amount20232022
2034 notes (1)7.350 %$300 $298 $298 
2043 notes (2)5.144 %500 495 495 
2026 notes (3)4.011 %500 498 498 
2046 notes (4)5.031 %450 446 445 
2050 notes (5)3.635 %1,000 989 989 
$2,750 $2,726 $2,725 
(1) Senior notes of Arch Capital issued on May 4, 2004 and due May 1, 2034 (“2034 notes”).
(2) Senior notes of Arch-U.S., a wholly-owned subsidiary of Arch Capital, issued on December 13, 2013 and due November 1, 2043 (“2043 notes”), fully and unconditionally guaranteed by Arch Capital.
(3) Senior notes of Arch Capital Finance LLC (“Arch Finance”), a wholly-owned finance subsidiary of Arch Capital, issued on December 8, 2016 and due December 15, 2026 (“2026 notes”), fully and unconditionally guaranteed by Arch Capital.
(4) Senior notes of Arch Finance issued on December 8, 2016 and due December 15, 2046 (“2046 notes”), fully and unconditionally guaranteed by Arch Capital
(5) Senior notes of Arch Capital issued on June 30, 2020 and due June 30, 2050 (“2050 notes”).
XML 72 R56.htm IDEA: XBRL DOCUMENT v3.24.0.1
Goodwill and Intangible Assets (Tables)
12 Months Ended
Dec. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Analysis of goodwill and intangible assets
The following table shows an analysis of goodwill and intangible assets:
GoodwillIntangible assets (indefinite life)Intangible assets (finite life)Total
Net balance at Dec. 31, 2021$345 $71 $529 $945 
Acquisitions (1)— — 
Amortization— — (106)(106)
Foreign currency movements and other adjustments(11)(2)(30)(43)
Net balance at Dec. 31, 2022342 69 393 804 
Acquisitions (1)— — 11 11 
Amortization— — (95)(95)
Impairment(2)— — (2)
Foreign currency movements and other adjustments13 
Net balance at Dec. 31, 2023$345 $70 $316 $731 
Gross balance at Dec. 31, 2023$348 $70 $1,105 $1,523 
Accumulated amortization— — (766)(766)
Foreign currency movements and other adjustments(3)— (23)(26)
Net balance at Dec. 31, 2023$345 $70 $316 $731 
Summary of components of intangible assets
The following table presents the components of goodwill and intangible assets:
Gross BalanceAccumulated
Amortization
Foreign Currency Translation Adjustment and OtherNet
Balance
Dec. 31, 2023
Acquired insurance contracts$452 $(441)$— $11 
Operating platform64 (54)— 10 
Distribution relationships594 (277)(23)294 
Goodwill348 — (3)345 
Insurance licenses48 — — 48 
Syndicate capacity22 — — 22 
Unfavorable service contract(10)10 — — 
Other(4)— 
Total$1,523 $(766)$(26)$731 
Dec. 31, 2022
Acquired insurance contracts$452 $(426)$(1)$25 
Operating platform53 (50)— 
Distribution relationships602 (208)(31)363 
Goodwill351 — (9)342 
Insurance licenses48 — — 48 
Syndicate capacity22 — (1)21 
Unfavorable service contract(10)10 — — 
Other(3)— 
Total$1,523 $(677)$(42)$804 
Estimated future amortization expense
The estimated remaining amortization expense for the Company’s intangible assets with finite lives is as follows:
2024$77 
202546 
202634 
202731 
202829 
2029 and thereafter99 
Total$316 
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Shareholders' Equity (Tables)
12 Months Ended
Dec. 31, 2023
Stockholders' Equity Note [Abstract]  
Roll-forward of changes in issued and outstanding Common Shares
The following table presents a roll-forward of changes in Arch Capital’s issued and outstanding Common Shares:
Year Ended December 31,
202320222021
Common Shares:
Shares issued and outstanding, beginning of year588.3 583.3 579.0 
Shares issued (1)2.8 3.5 2.7 
Restricted shares issued, net of cancellations0.8 1.5 1.6 
Shares issued and outstanding, end of year591.9 588.3 583.3 
Common shares in treasury, end of year(218.5)(217.9)(204.4)
Shares issued and outstanding, end of year373.4 370.4 378.9 
(1)    Includes shares issued from the exercise of stock options and stock appreciation rights, the vesting of restricted share units and shares issued from the employee share purchase plan.
Schedule of share repurchases
The Company’s repurchases under the share repurchase program were as follows:
Year Ended December 31,
202320222021
Aggregate cost of shares repurchased$— $586 $1,234 
Shares repurchased— 12.9 31.5 
Average price per share repurchased$— $45.44 $39.20 
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Share-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2023
Share-Based Payment Arrangement [Abstract]  
Valuation assumptions
Year Ended December 31,
202320222021
Dividend yield— %— %— %
Expected volatility25.1 %24.0 %24.2 %
Risk free interest rate4.1 %2.0 %1.0 %
Expected option life6.0 years6.0 years6.0 years
Option activity
A summary of stock option and SAR activity under the Company’s Long Term Incentive and Share Award Plans during 2023 is presented below:
Year Ended December 31, 2023
Number of
Options / SARs
Weighted Average Exercise PriceWeighted Average Contractual TermAggregate Intrinsic Value
Outstanding, beginning of year14,420,901 $28.17 
Granted479,760 $69.24 
Exercised(2,355,729)$20.66 
Forfeited or expired(8,339)$48.38 
Outstanding, end of year12,536,593 $31.14 4.10$541 
Exercisable, end of year11,205,102 $28.68 3.61$511 
Weighted average grant date fair value
Year Ended December 31,
202320222021
Weighted average grant date fair value$23.50 $13.26 $9.22 
Aggregate intrinsic value of Options/SARs exercised (in millions)$116 $113 $47 
Unvested restricted share and unit activity
A summary of restricted share and restricted unit activity under the Company’s Long Term Incentive and Share Award Plans for 2023 is presented below:
Number of Restricted
Common
Shares
Number of Restricted
Unit
Awards
Unvested Shares:
Unvested balance, beginning of year2,165,554 517,293 
Granted678,657 146,534 
Vested(1,281,449)(352,190)
Forfeited(38,157)(5,709)
Unvested balance, end of year1,524,605 305,928 
Weighted Average Grant Date Fair Value:
Unvested balance, beginning of year$40.23 $37.17 
Granted$69.47 $69.20 
Vested$38.37 $34.16 
Forfeited$49.65 $55.55 
Unvested balance, end of year$54.57 $55.63 
Performance shares and units, valuation assumptions
Year Ended December 31,
202320222021
Expected volatility30.4 %38.1 %37.5 %
Risk free interest rate4.6 %1.7 %0.3 %
Unvested performance share and unit activity
Number of Performance
Shares
Number of Performance
Units
Unvested Shares:
Unvested balance, beginning of year1,882,916 39,710 
Granted550,394 18,182 
Performance adjustment (1) (2)(341,420)(2,024)
Vested(207,486)(6,274)
Forfeited(3,708)— 
Unvested balance, end of year1,880,696 49,594 
Weighted Average Grant Date Fair Value:
Unvested balance, beginning of year$43.75 $45.33 
Granted$74.08 $74.31 
Performance adjustment (1) (2)$44.17 $44.17 
Vested$44.17 $44.17 
Forfeited$59.83 $— 
Unvested balance, end of year$52.47 $56.15 
(1)    The performance adjustment represents the difference between the number of performance shares granted and earned, which vested following the end of the performance period. The performance shares were granted at the maximum level of achievement.
(2)    The performance adjustment represents the change in PSUs, which vested following the end of the performance period. The performance units were granted at the target level of achievement.
Share based compensation expense
The following tables present pre-tax and after-tax share-based compensation expense recognized as well as the unrecognized compensation cost associated with unvested awards and the weighted average period over which it is expected to be recognized.
Year Ended December 31,
202320222021
Pre-Tax
Stock options and SARs$11 $12 $12 
Restricted share and unit awards54 50 47 
Performance awards23 22 24 
ESPP
Total$92 $88 $87 
After-Tax
Stock options and SARs$10 $11 $11 
Restricted share and unit awards45 42 39 
Performance awards21 20 22 
ESPP
Total$80 $77 $76 
Unrecognized compensation cost
December 31, 2023
Stock Options and SARsRestricted Common
Shares and Units
Performance Common Shares and Units
Unrecognized compensation cost related to unvested awards$$43 $11 
Weighted average recognition period (years)0.670.950.44
Restricted Common Shares And Restricted Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Weighted average grant date fair value of restricted stock
The following table presents the weighted average grant date fair value of restricted shares and restricted unit awards granted and the aggregate fair value of restricted shares and unit awards vesting in each year.
Year Ended December 31,
202320222021
Number of restricted shares and restricted unit awards granted 825,191 1,089,393 1,261,773 
Weighted average grant date fair value$69.42 $47.45 $36.12 
Aggregate fair value of vested restricted share and unit awards (in millions)$122 $51 $41 
Performance Common Shares and Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Weighted average grant date fair value of restricted stock
The following table presents the weighted average grant date fair values of performance awards granted.
Year Ended December 31,
202320222021
Number of performance awards568,576 690,772 685,104 
Weighted average grant date fair value$74.09 $49.91 $37.38 
Aggregate fair value of vested performance share and unit awards (in millions)$14 $27 $24 
The aggregate intrinsic value of performance units outstanding at December 31, 2023 was $4 million.
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Statutory Information (Tables)
12 Months Ended
Dec. 31, 2023
Disclosure Statutory Information [Abstract]  
Summary of statutory capital, surplus and net income
The actual and required statutory capital and surplus for the Company’s principal operating subsidiaries at December 31, 2023 and 2022:
December 31,
20232022
Actual capital and surplus (1):
Bermuda$24,120 $19,546 
Ireland1,148 968 
United States6,897 6,195 
United Kingdom1,367 1,018 
Canada83 69 
Australia366 285 
Required capital and surplus:
Bermuda$7,112 $6,450 
Ireland942 815 
United States1,895 1,749 
United Kingdom1,192 543 
Canada53 48 
Australia179 176 
(1)Such amounts include ownership interests in affiliated insurance and reinsurance subsidiaries.
The statutory net income (loss) for the Company’s principal operating subsidiaries for 2023, 2022 and 2021 was as follows:
Year Ended December 31,
202320222021
Statutory net income (loss):
Bermuda$3,519 $1,730 $2,371 
Ireland53 (53)25 
United States592 220 346 
United Kingdom72 57 35 
Canada
Australia68 39 12 
XML 76 R60.htm IDEA: XBRL DOCUMENT v3.24.0.1
General (Details) - Greysbridge Holdings Ltd
Jul. 01, 2021
Schedule of Equity Method Investments [Line Items]  
Percentage ownership 40.00%
Kelso And Company  
Schedule of Equity Method Investments [Line Items]  
Percentage ownership 30.00%
Warburg Pincus LLC  
Schedule of Equity Method Investments [Line Items]  
Percentage ownership 30.00%
XML 77 R61.htm IDEA: XBRL DOCUMENT v3.24.0.1
Acquisitions (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2021
Aug. 06, 2021
Dec. 31, 2023
Dec. 31, 2022
Business Acquisition [Line Items]        
Goodwill and intangible assets, acquisitions     $ 11.0 $ 8.0
Westpac Lenders Mortgage Insurance Limited        
Business Acquisition [Line Items]        
Term of business exclusivity agreement 10 years      
Somerset        
Business Acquisition [Line Items]        
Goodwill and intangible assets, acquisitions   $ 350.1    
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Significant Accounting Policies (Details)
12 Months Ended
Dec. 31, 2023
Significant Accounting Policies [Line Items]  
Premium revenue recognition period 12 months
Investments, time lag for reporting - low end of range 1 month
Investments, time lag for reporting - high end of range 3 months
Vesting period, share-based awards 3 years
Requisite service period, share-based awards 3 years
Losses occurring  
Significant Accounting Policies [Line Items]  
Premium revenue recognition period 12 months
Risks attaching  
Significant Accounting Policies [Line Items]  
Premium revenue recognition period 24 months
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Segment Information - Analysis of underwriting income by segment and reconciliation to net income available to common shareholders (Details)
$ in Millions
12 Months Ended
Dec. 31, 2023
USD ($)
segment
Dec. 31, 2022
USD ($)
Dec. 31, 2021
USD ($)
Segment Reporting Information [Line Items]      
Gross premiums written $ 18,403 $ 15,327 $ 12,752
Premiums ceded (4,935) (4,249) (3,735)
Net premiums written 13,468 11,078 9,017
Change in unearned premiums (1,028) (1,399) (935)
Net premiums earned 12,440 9,679 8,082
Other underwriting income 31 13 21
Losses and loss adjustment expenses (6,246) (5,028) (4,585)
Acquisition expenses, net (2,312) (1,740) (1,303)
Other operating expenses (1,301) (1,128) (999)
Underwriting income (loss) 2,612 1,796 1,216
Net investment income 1,023 496 389
Net realized gains (losses) (165) (663) 380
Equity in net income (loss) of investment funds accounted for using the equity method 278 115 366
Other income (loss) 27 (27) 10
Corporate expenses (96) (95) (76)
Transaction costs and other (6) 0 (2)
Amortization of intangible assets (95) (106) (82)
Interest expense (133) (131) (139)
Net foreign exchange gains (losses) (60) 102 41
Income before income taxes and income (loss) from operating affiliates 3,385 1,487 2,103
Income tax (expense) benefit 873 (80) (128)
Income (loss) from operating affiliates 184 75 264
Net income (loss) 4,442 1,482 2,239
Amounts attributable to redeemable noncontrolling interests 1 (6) (4)
Amounts attributable to nonredeemable noncontrolling interests 0 0 (78)
Net income available to Arch 4,443 1,476 2,157
Preferred share dividends (40) (40) (48)
Loss on redemption of preferred shares 0 0 (15)
Net income (loss) available to Arch common shareholders $ 4,403 $ 1,436 $ 2,094
Underwriting Ratios      
Loss ratio 50.20% 51.90% 56.70%
Acquisition expense ratio 18.60% 18.00% 16.10%
Other operating expense ratio 10.50% 11.70% 12.40%
Combined ratio 79.30% 81.60% 85.20%
Goodwill and intangible assets $ 731 $ 804 $ 945
Total investable assets 34,589 28,065 27,442
Total assets 58,906 47,990 45,101
Total liabilities $ 40,551 35,069 31,546
Operating segments | Underwriting Segments      
Segment Reporting Information [Line Items]      
Number of segments | segment 3    
Gross premiums written [1] $ 18,403 15,327 12,463
Premiums ceded [1] (4,935) (4,249) (3,799)
Net premiums written 13,468 11,078 8,664
Change in unearned premiums (1,028) (1,399) (915)
Net premiums earned 12,440 9,679 7,749
Other underwriting income 31 13 21
Losses and loss adjustment expenses (6,246) (5,028) (4,327)
Acquisition expenses, net (2,312) (1,740) (1,240)
Other operating expenses (1,301) (1,128) (966)
Underwriting income (loss) 2,612 1,796 1,237
Net investment income 1,023 496 347
Net realized gains (losses) (165) (663) 299
Equity in net income (loss) of investment funds accounted for using the equity method 278 115 366
Other income (loss) 27 (27) 10
Corporate expenses (96) (95) (76)
Transaction costs and other (6) 0 (1)
Amortization of intangible assets (95) (106) (81)
Interest expense (133) (131) (131)
Net foreign exchange gains (losses) (60) 102 42
Income before income taxes and income (loss) from operating affiliates 3,385 1,487 2,012
Income tax (expense) benefit 873 (80) (128)
Income (loss) from operating affiliates 184 75 264
Net income (loss) 4,442 1,482 2,148
Amounts attributable to redeemable noncontrolling interests 1 (6) (2)
Amounts attributable to nonredeemable noncontrolling interests     0
Net income available to Arch 4,443 1,476 2,148
Preferred share dividends (40) (40) (48)
Loss on redemption of preferred shares     (15)
Net income (loss) available to Arch common shareholders $ 4,403 $ 1,436 $ 2,085
Underwriting Ratios      
Loss ratio 50.20% 51.90% 55.80%
Acquisition expense ratio 18.60% 18.00% 16.00%
Other operating expense ratio 10.50% 11.70% 12.50%
Combined ratio 79.30% 81.60% 84.30%
Goodwill and intangible assets $ 731 $ 804 $ 945
Total investable assets 34,589 28,065 27,442
Total assets 58,906 47,990 45,101
Total liabilities 40,551 35,069 31,546
Operating segments | Insurance      
Segment Reporting Information [Line Items]      
Gross premiums written [1] 7,911 6,931 5,868
Premiums ceded [1],[2] (2,049) (1,910) (1,719)
Net premiums written 5,862 5,021 4,149
Change in unearned premiums (416) (461) (524)
Net premiums earned 5,446 4,560 3,625
Other underwriting income 0 0 0
Losses and loss adjustment expenses (3,122) (2,784) (2,345)
Acquisition expenses, net (1,055) (887) (606)
Other operating expenses (819) (665) (559)
Underwriting income (loss) $ 450 $ 224 $ 115
Underwriting Ratios      
Loss ratio 57.30% 61.00% 64.60%
Acquisition expense ratio 19.40% 19.40% 16.70%
Other operating expense ratio 15.00% 14.60% 15.40%
Combined ratio 91.70% 95.00% 96.70%
Goodwill and intangible assets $ 224 $ 229 $ 256
Operating segments | Reinsurance      
Segment Reporting Information [Line Items]      
Gross premiums written [1] 9,113 6,948 5,094
Premiums ceded [1],[2] (2,559) (2,024) (1,840)
Net premiums written 6,554 4,924 3,254
Change in unearned premiums (718) (965) (413)
Net premiums earned 5,836 3,959 2,841
Other underwriting income 17 5 3
Losses and loss adjustment expenses (3,227) (2,568) (1,925)
Acquisition expenses, net (1,240) (813) (537)
Other operating expenses (288) (268) (214)
Underwriting income (loss) $ 1,098 $ 315 $ 168
Underwriting Ratios      
Loss ratio 55.30% 64.90% 67.80%
Acquisition expense ratio 21.20% 20.50% 18.90%
Other operating expense ratio 4.90% 6.80% 7.50%
Combined ratio 81.40% 92.20% 94.20%
Goodwill and intangible assets $ 130 $ 145 $ 184
Operating segments | Mortgage      
Segment Reporting Information [Line Items]      
Gross premiums written [1] 1,387 1,455 1,508
Premiums ceded [1],[2] (335) (322) (247)
Net premiums written 1,052 1,133 1,261
Change in unearned premiums 106 27 22
Net premiums earned 1,158 1,160 1,283
Other underwriting income 14 8 18
Losses and loss adjustment expenses 103 324 (57)
Acquisition expenses, net (17) (40) (97)
Other operating expenses (194) (195) (193)
Underwriting income (loss) $ 1,064 $ 1,257 $ 954
Underwriting Ratios      
Loss ratio (8.90%) (28.00%) 4.40%
Acquisition expense ratio 1.40% 3.50% 7.60%
Other operating expense ratio 16.80% 16.80% 15.10%
Combined ratio 9.30% (7.70%) 27.10%
Goodwill and intangible assets $ 377 $ 430 $ 505
Operating segments | Other      
Segment Reporting Information [Line Items]      
Number of segments | segment 2    
Gross premiums written [1] $ 0 0 458
Premiums ceded [1] 0 0 (105) [2]
Net premiums written 0 0 353
Change in unearned premiums 0 0 (20)
Net premiums earned 0 0 333
Other underwriting income 0 0 0
Losses and loss adjustment expenses 0 0 (258)
Acquisition expenses, net 0 0 (63)
Other operating expenses 0 0 (33)
Underwriting income (loss) 0 0 (21)
Net investment income 0 0 42
Net realized gains (losses) 0 0 81
Equity in net income (loss) of investment funds accounted for using the equity method 0 0 0
Other income (loss) 0 0 0
Corporate expenses 0 0 0
Transaction costs and other 0 0 (1)
Amortization of intangible assets 0 0 (1)
Interest expense 0 0 (8)
Net foreign exchange gains (losses) 0 0 (1)
Income before income taxes and income (loss) from operating affiliates 0 0 91
Income tax (expense) benefit 0 0 0
Income (loss) from operating affiliates 0 0 0
Net income (loss) 0 0 91
Amounts attributable to redeemable noncontrolling interests 0 0 (2)
Amounts attributable to nonredeemable noncontrolling interests     (78)
Net income available to Arch 0 0 9
Preferred share dividends 0 0 0
Loss on redemption of preferred shares     0
Net income (loss) available to Arch common shareholders $ 0 $ 0 $ 9
Underwriting Ratios      
Loss ratio 0.00% 0.00% 78.00%
Acquisition expense ratio 0.00% 0.00% 18.90%
Other operating expense ratio 0.00% 0.00% 9.90%
Combined ratio 0.00% 0.00% 106.80%
Goodwill and intangible assets $ 0 $ 0 $ 0
Total investable assets 0 0 0
Total assets 0 0 0
Total liabilities $ 0 $ 0 $ 0
[1] Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
[2] Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
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Segment Information - Summary of net premiums written and earned by major line of business and net premiums written by location (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Segment Reporting Information [Line Items]      
Net premiums earned $ 12,440 $ 9,679 $ 8,082
Net premiums written 13,468 11,078 9,017
Operating segments | Insurance      
Segment Reporting Information [Line Items]      
Net premiums earned 5,446 4,560 3,625
Net premiums written 5,862 5,021 4,149
Operating segments | Insurance | United States      
Segment Reporting Information [Line Items]      
Net premiums written [1] 3,780 3,342 2,812
Operating segments | Insurance | Europe      
Segment Reporting Information [Line Items]      
Net premiums written [1] 1,774 1,405 1,126
Operating segments | Insurance | Other geographic location      
Segment Reporting Information [Line Items]      
Net premiums written [1] 308 274 211
Operating segments | Insurance | Professional lines      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 1,419 1,314 943
Operating segments | Insurance | Property, energy, marine and aviation      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 1,064 772 668
Operating segments | Insurance | Programs      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 658 590 507
Operating segments | Insurance | Construction and national accounts      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 561 432 417
Operating segments | Insurance | Travel, accident and health      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 557 492 256
Operating segments | Insurance | Excess and surplus casualty      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 486 393 318
Operating segments | Insurance | Warranty and lenders solutions      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 185 128 153
Operating segments | Insurance | Other      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 516 439 363
Operating segments | Reinsurance      
Segment Reporting Information [Line Items]      
Net premiums earned 5,836 3,959 2,841
Net premiums written 6,554 4,924 3,254
Operating segments | Reinsurance | United States      
Segment Reporting Information [Line Items]      
Net premiums written [1] 1,756 1,247 829
Operating segments | Reinsurance | Bermuda      
Segment Reporting Information [Line Items]      
Net premiums written [1] 3,288 2,561 1,555
Operating segments | Reinsurance | Europe and other      
Segment Reporting Information [Line Items]      
Net premiums written [1] 1,510 1,116 870
Operating segments | Reinsurance | Other specialty      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 2,097 1,378 819
Operating segments | Reinsurance | Property excluding property catastrophe      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 1,645 1,090 838
Operating segments | Reinsurance | Casualty      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 1,005 855 667
Operating segments | Reinsurance | Property catastrophe      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 742 367 280
Operating segments | Reinsurance | Marine and aviation      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 229 159 153
Operating segments | Reinsurance | Other      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 118 110 84
Operating segments | Mortgage      
Segment Reporting Information [Line Items]      
Net premiums earned 1,158 1,160 1,283
Net premiums written 1,052 1,133 1,261
Operating segments | Mortgage | United States      
Segment Reporting Information [Line Items]      
Net premiums written 743 781 913
Operating segments | Mortgage | Other geographic location      
Segment Reporting Information [Line Items]      
Net premiums written 309 352 348
Operating segments | Mortgage | US Primary Mortgage Insurance      
Segment Reporting Information [Line Items]      
Net premiums earned 759 804 953
Operating segments | Mortgage | US Credit Risk Transfer And Other      
Segment Reporting Information [Line Items]      
Net premiums earned 220 196 181
Operating segments | Mortgage | International Mortgage Insurance And Reinsurance      
Segment Reporting Information [Line Items]      
Net premiums earned 179 160 149
Operating segments | Other      
Segment Reporting Information [Line Items]      
Net premiums earned 0 0 333
Net premiums written 0 0 353
Operating segments | Other | United States      
Segment Reporting Information [Line Items]      
Net premiums written [1] 0 0 63
Operating segments | Other | Europe      
Segment Reporting Information [Line Items]      
Net premiums written [1] 0 0 91
Operating segments | Other | Bermuda      
Segment Reporting Information [Line Items]      
Net premiums written [1] 0 0 199
Operating segments | Other | Other specialty      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 0 0 118
Operating segments | Other | Property excluding property catastrophe      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 0 0 7
Operating segments | Other | Casualty      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 0 0 138
Operating segments | Other | Property catastrophe      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 0 0 15
Operating segments | Other | Marine and aviation      
Segment Reporting Information [Line Items]      
Net premiums earned [1] 0 0 0
Operating segments | Other | Other      
Segment Reporting Information [Line Items]      
Net premiums earned [1] $ 0 $ 0 $ 55
[1] Segment results include intersegment transactions.
XML 81 R65.htm IDEA: XBRL DOCUMENT v3.24.0.1
Reserve for Losses and Loss Adjustment Expenses - Reconciliation of beginning and ending balances of losses and loss adjustment reserves (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Liability for Future Policy Benefits and Unpaid Claims and Claims Adjustment Expense [Abstract]      
Reserve for losses and loss adjustment expenses at beginning of year $ 20,032 $ 17,757 $ 16,514
Unpaid losses and loss adjustment expenses recoverable 6,280 5,599 4,315
Net reserve for losses and loss adjustment expenses at beginning of year 13,752 12,158 12,199
Net incurred losses and loss adjustment expenses relating to losses occurring in:      
Current year 6,784 5,797 4,940
Prior years (538) (769) (355)
Total net incurred losses and loss adjustment expenses 6,246 5,028 4,585
Net losses and loss adjustment expense reserves of acquired business [1] 0 0 104
Retroactive reinsurance transaction [2] 0 0 (444)
Impact of deconsolidation of Somers 0 0 (1,461)
Foreign exchange (gains) losses and other 157 (293) 2
Net paid losses and loss adjustment expenses relating to losses occurring in:      
Current year (1,081) (888) (734)
Prior years (3,012) (2,253) (2,093)
Total net paid losses and loss adjustment expenses (4,093) (3,141) (2,827)
Net reserve for losses and loss adjustment expenses at end of year 16,062 13,752 12,158
Unpaid losses and loss adjustment expenses recoverable 6,690 6,280 5,599
Reserve for losses and loss adjustment expenses at end of year $ 22,752 $ 20,032 $ 17,757
[1] Represents activity related to the Company’s acquisitions in the 2021 period.
[2] See ‘Retroactive Reinsurance Transactions’ section.
XML 82 R66.htm IDEA: XBRL DOCUMENT v3.24.0.1
Reserve for Losses and Loss Adjustment Expenses - Prior years reserve development (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) $ 538 $ 769 $ 355
Operating segments | Insurance      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) $ 42 $ 25 $ 16
Prior year reserve development (points) 0.80% 0.60% 0.40%
Operating segments | Insurance | Short-tailed lines      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable)   $ 55 $ 82
Operating segments | Insurance | Short-tailed lines | Property Excluding Marine      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) $ 32   39
Operating segments | Insurance | Short-tailed lines | Travel and Accident      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) 15 15 16
Operating segments | Insurance | Short-tailed lines | Warranty and lenders solutions      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) 22 37 27
Operating segments | Insurance | Medium-tailed lines      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) (65)   (94)
Operating segments | Insurance | Medium-tailed lines | Professional liability      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) (50) (25) (31)
Operating segments | Insurance | Medium-tailed lines | Contract binding      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) (21) (6) (58)
Operating segments | Insurance | Medium-tailed lines | Marine      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) 12 13  
Operating segments | Insurance | Long-tailed lines      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable)     28
Operating segments | Insurance | Long-tailed lines | Casualty      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable)   (19)  
Operating segments | Insurance | Long-tailed lines | Other business      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable)   22  
Operating segments | Insurance | Long-tailed lines | Construction and national accounts      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) (6) (7)  
Operating segments | Insurance | Long-tailed lines | Executive assurance      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) 28    
Operating segments | Insurance | Long-tailed lines | Alternative Markets      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) 17    
Operating segments | Insurance | Medium-tailed and long-tailed lines      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable)   (30)  
Operating segments | Insurance | Short Tailed And Long Tailed Lines      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) 107   110
Operating segments | Reinsurance      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) $ 152 $ 190 $ 179
Prior year reserve development (points) 2.60% 4.80% 6.30%
Operating segments | Reinsurance | Short-tailed lines      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable)     $ 176
Operating segments | Reinsurance | Short-tailed lines | Property catastrophe      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) $ 51 $ 24 (36)
Operating segments | Reinsurance | Short-tailed lines | Property excluding property catastrophe      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) 93 109 89
Operating segments | Reinsurance | Short-tailed lines | Other specialty lines      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) 35 35 123
Operating segments | Reinsurance | Short-tailed lines | Other business      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) 13    
Operating segments | Reinsurance | Medium-tailed lines | Marine and aviation      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) 9 28  
Operating segments | Reinsurance | Long-tailed lines      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) (50) (5) (5)
Operating segments | Reinsurance | Long-tailed lines | Casualty      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) (46) (5)  
Operating segments | Reinsurance | Short Tailed And Medium Tailed Lines      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) 202 196 184
Operating segments | Mortgage      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable) $ 344 $ 554 $ 170
Prior year reserve development (points) 29.70% 47.80% 13.20%
Operating segments | Other      
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense [Line Items]      
Prior year development favorable (unfavorable)     $ (8)
XML 83 R67.htm IDEA: XBRL DOCUMENT v3.24.0.1
Short Duration Contracts - Claims development - Insurance (Details)
$ in Millions
Dec. 31, 2023
USD ($)
claims
Dec. 31, 2022
USD ($)
Dec. 31, 2021
USD ($)
Dec. 31, 2020
USD ($)
Dec. 31, 2019
USD ($)
Dec. 31, 2018
USD ($)
Dec. 31, 2017
USD ($)
Dec. 31, 2016
USD ($)
Dec. 31, 2015
USD ($)
Dec. 31, 2014
USD ($)
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Liabilities for losses and loss adjustment expenses, net of reinsurance $ 15,700                  
Insurance | Property, energy, marine and aviation                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 2,688                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 1,878                  
All outstanding liabilities before 2014, net of reinsurance 14                  
Liabilities for losses and loss adjustment expenses, net of reinsurance 824                  
Insurance | Property, energy, marine and aviation | 2014                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 133 $ 134 $ 135 $ 135 $ 134 $ 132 $ 136 $ 147 $ 146 $ 148
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 125 123 122 115 98 88 84 78 54 26
Total of IBNR liabilities plus expected development on reported claims $ 2                  
Cumulative number of reported claims | claims 3,871                  
Insurance | Property, energy, marine and aviation | 2015                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 89 91 92 92 98 102 104 110 112  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 86 88 87 86 88 86 76 65 24  
Total of IBNR liabilities plus expected development on reported claims $ 2                  
Cumulative number of reported claims | claims 4,530                  
Insurance | Property, energy, marine and aviation | 2016                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 88 88 92 96 100 105 101 104    
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 87 87 91 95 97 98 83 25    
Total of IBNR liabilities plus expected development on reported claims $ 0                  
Cumulative number of reported claims | claims 6,171                  
Insurance | Property, energy, marine and aviation | 2017                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 225 225 231 230 236 246 281      
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 220 218 216 212 196 140 30      
Total of IBNR liabilities plus expected development on reported claims $ 1                  
Cumulative number of reported claims | claims 6,475                  
Insurance | Property, energy, marine and aviation | 2018                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 172 170 170 174 186 181        
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 154 150 143 135 102 30        
Total of IBNR liabilities plus expected development on reported claims $ 5                  
Cumulative number of reported claims | claims 5,077                  
Insurance | Property, energy, marine and aviation | 2019                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 159 161 165 179 179          
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 148 139 134 105 26          
Total of IBNR liabilities plus expected development on reported claims $ (1)                  
Cumulative number of reported claims | claims 7,018                  
Insurance | Property, energy, marine and aviation | 2020                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 333 336 329 359            
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 293 251 194 56            
Total of IBNR liabilities plus expected development on reported claims $ 9                  
Cumulative number of reported claims | claims 8,212                  
Insurance | Property, energy, marine and aviation | 2021                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 423 429 427              
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 343 268 90              
Total of IBNR liabilities plus expected development on reported claims $ 41                  
Cumulative number of reported claims | claims 8,807                  
Insurance | Property, energy, marine and aviation | 2022                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 495 522                
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 276 100                
Total of IBNR liabilities plus expected development on reported claims $ 74                  
Cumulative number of reported claims | claims 13,274                  
Insurance | Property, energy, marine and aviation | 2023                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 571                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 146                  
Total of IBNR liabilities plus expected development on reported claims $ 275                  
Cumulative number of reported claims | claims 13,682                  
Insurance | Third party occurrence business                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 5,304                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 1,990                  
All outstanding liabilities before 2014, net of reinsurance 287                  
Liabilities for losses and loss adjustment expenses, net of reinsurance 3,601                  
Insurance | Third party occurrence business | 2014                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 344 345 343 343 344 339 343 339 336 330
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 257 237 224 211 191 162 113 71 40 9
Total of IBNR liabilities plus expected development on reported claims $ 49                  
Cumulative number of reported claims | claims 75,679                  
Insurance | Third party occurrence business | 2015                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 377 379 386 382 391 392 399 392 359  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 268 249 227 212 182 139 88 45 11  
Total of IBNR liabilities plus expected development on reported claims $ 66                  
Cumulative number of reported claims | claims 78,689                  
Insurance | Third party occurrence business | 2016                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 352 363 368 375 399 406 394 390    
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 231 215 195 165 137 88 42 12    
Total of IBNR liabilities plus expected development on reported claims $ 77                  
Cumulative number of reported claims | claims 78,883                  
Insurance | Third party occurrence business | 2017                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 405 406 407 412 422 418 417      
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 247 221 165 135 100 52 13      
Total of IBNR liabilities plus expected development on reported claims $ 100                  
Cumulative number of reported claims | claims 84,687                  
Insurance | Third party occurrence business | 2018                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 462 459 451 451 453 430        
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 247 200 154 115 64 17        
Total of IBNR liabilities plus expected development on reported claims $ 127                  
Cumulative number of reported claims | claims 78,320                  
Insurance | Third party occurrence business | 2019                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 470 471 481 487 456          
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 214 173 122 73 18          
Total of IBNR liabilities plus expected development on reported claims $ 154                  
Cumulative number of reported claims | claims 86,139                  
Insurance | Third party occurrence business | 2020                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 632 640 616 607            
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 235 155 77 24            
Total of IBNR liabilities plus expected development on reported claims $ 226                  
Cumulative number of reported claims | claims 92,279                  
Insurance | Third party occurrence business | 2021                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 659 663 622              
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 174 91 26              
Total of IBNR liabilities plus expected development on reported claims $ 290                  
Cumulative number of reported claims | claims 92,672                  
Insurance | Third party occurrence business | 2022                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 726 688                
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 85 24                
Total of IBNR liabilities plus expected development on reported claims $ 513                  
Cumulative number of reported claims | claims 92,564                  
Insurance | Third party occurrence business | 2023                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 877                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 32                  
Total of IBNR liabilities plus expected development on reported claims $ 750                  
Cumulative number of reported claims | claims 72,833                  
Insurance | Third party claims-made business                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 4,334                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 2,059                  
All outstanding liabilities before 2014, net of reinsurance 77                  
Liabilities for losses and loss adjustment expenses, net of reinsurance 2,352                  
Insurance | Third party claims-made business | 2014                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 287 296 288 291 297 281 279 299 279 264
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 266 260 249 243 229 207 173 129 63 14
Total of IBNR liabilities plus expected development on reported claims $ 14                  
Cumulative number of reported claims | claims 14,494                  
Insurance | Third party claims-made business | 2015                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 274 267 268 252 255 260 276 277 259  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 242 221 217 193 174 126 100 52 9  
Total of IBNR liabilities plus expected development on reported claims $ 13                  
Cumulative number of reported claims | claims 13,932                  
Insurance | Third party claims-made business | 2016                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 327 330 327 322 314 308 291 275    
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 296 257 242 205 158 127 68 11    
Total of IBNR liabilities plus expected development on reported claims $ 18                  
Cumulative number of reported claims | claims 14,912                  
Insurance | Third party claims-made business | 2017                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 338 317 323 308 312 286 270      
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 258 233 196 143 113 68 9      
Total of IBNR liabilities plus expected development on reported claims $ 48                  
Cumulative number of reported claims | claims 15,473                  
Insurance | Third party claims-made business | 2018                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 367 347 336 320 314 273        
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 258 208 158 118 68 12        
Total of IBNR liabilities plus expected development on reported claims $ 44                  
Cumulative number of reported claims | claims 17,098                  
Insurance | Third party claims-made business | 2019                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 330 322 317 317 289          
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 197 155 122 65 12          
Total of IBNR liabilities plus expected development on reported claims $ 66                  
Cumulative number of reported claims | claims 15,879                  
Insurance | Third party claims-made business | 2020                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 446 423 413 383            
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 215 152 87 17            
Total of IBNR liabilities plus expected development on reported claims $ 118                  
Cumulative number of reported claims | claims 15,239                  
Insurance | Third party claims-made business | 2021                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 499 518 515              
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 163 90 23              
Total of IBNR liabilities plus expected development on reported claims $ 254                  
Cumulative number of reported claims | claims 16,323                  
Insurance | Third party claims-made business | 2022                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 655 669                
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 100 25                
Total of IBNR liabilities plus expected development on reported claims $ 448                  
Cumulative number of reported claims | claims 18,563                  
Insurance | Third party claims-made business | 2023                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 811                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 64                  
Total of IBNR liabilities plus expected development on reported claims $ 641                  
Cumulative number of reported claims | claims 20,494                  
Insurance | Multi-line and other specialty                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 5,389                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 4,065                  
All outstanding liabilities before 2014, net of reinsurance 24                  
Liabilities for losses and loss adjustment expenses, net of reinsurance 1,348                  
Insurance | Multi-line and other specialty | 2014                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 310 311 309 310 313 317 318 318 326 302
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 297 296 295 293 292 281 267 234 197 $ 108
Total of IBNR liabilities plus expected development on reported claims $ 4                  
Cumulative number of reported claims | claims 148,702                  
Insurance | Multi-line and other specialty | 2015                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 345 345 347 349 357 365 357 358 335  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 333 331 330 327 321 306 278 236 $ 138  
Total of IBNR liabilities plus expected development on reported claims $ 5                  
Cumulative number of reported claims | claims 180,468                  
Insurance | Multi-line and other specialty | 2016                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 406 409 408 410 416 428 431 409    
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 392 390 385 379 363 342 305 $ 176    
Total of IBNR liabilities plus expected development on reported claims $ 7                  
Cumulative number of reported claims | claims 192,955                  
Insurance | Multi-line and other specialty | 2017                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 516 513 504 501 491 501 482      
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 480 472 446 423 381 342 $ 181      
Total of IBNR liabilities plus expected development on reported claims $ 9                  
Cumulative number of reported claims | claims 235,539                  
Insurance | Multi-line and other specialty | 2018                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 565 565 565 563 565 512        
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 527 509 480 443 389 $ 212        
Total of IBNR liabilities plus expected development on reported claims $ 14                  
Cumulative number of reported claims | claims 260,995                  
Insurance | Multi-line and other specialty | 2019                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 657 651 640 612 567          
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 577 549 487 386 $ 212          
Total of IBNR liabilities plus expected development on reported claims $ 21                  
Cumulative number of reported claims | claims 252,766                  
Insurance | Multi-line and other specialty | 2020                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 517 515 569 618            
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 406 359 309 $ 172            
Total of IBNR liabilities plus expected development on reported claims $ 44                  
Cumulative number of reported claims | claims 166,357                  
Insurance | Multi-line and other specialty | 2021                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 614 619 635              
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 428 335 $ 157              
Total of IBNR liabilities plus expected development on reported claims $ 76                  
Cumulative number of reported claims | claims 114,447                  
Insurance | Multi-line and other specialty | 2022                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 642 678                
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 371 $ 177                
Total of IBNR liabilities plus expected development on reported claims $ 157                  
Cumulative number of reported claims | claims 143,264                  
Insurance | Multi-line and other specialty | 2023                    
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 817                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 254                  
Total of IBNR liabilities plus expected development on reported claims $ 450                  
Cumulative number of reported claims | claims 118,241                  
XML 84 R68.htm IDEA: XBRL DOCUMENT v3.24.0.1
Short Duration Contracts - Claims development - Reinsurance (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2014
Claims Development [Line Items]                    
Liabilities for losses and loss adjustment expenses, net of reinsurance $ 15,700                  
Reinsurance | Casualty                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 3,801                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 1,405                  
All outstanding liabilities before 2014, net of reinsurance 310                  
Liabilities for losses and loss adjustment expenses, net of reinsurance 2,706                  
Reinsurance | Casualty | 2014                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 241 $ 234 $ 234 $ 237 $ 237 $ 227 $ 230 $ 217 $ 220 $ 215
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 160 153 145 134 114 91 63 41 16 4
Total of IBNR liabilities plus expected development on reported claims 33                  
Reinsurance | Casualty | 2015                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 260 251 249 246 239 235 228 219 220  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 170 152 137 120 96 71 47 20 4  
Total of IBNR liabilities plus expected development on reported claims 44                  
Reinsurance | Casualty | 2016                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 281 272 268 269 262 247 224 212    
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 172 157 132 113 87 52 26 6    
Total of IBNR liabilities plus expected development on reported claims 45                  
Reinsurance | Casualty | 2017                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 330 316 309 297 270 254 267      
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 189 164 137 113 64 30 6      
Total of IBNR liabilities plus expected development on reported claims 53                  
Reinsurance | Casualty | 2018                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 308 298 286 281 289 276        
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 182 155 129 106 31 8        
Total of IBNR liabilities plus expected development on reported claims 50                  
Reinsurance | Casualty | 2019                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 400 379 367 341 330          
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 219 130 97 58 16          
Total of IBNR liabilities plus expected development on reported claims 84                  
Reinsurance | Casualty | 2020                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 372 354 371 382            
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 132 90 50 18            
Total of IBNR liabilities plus expected development on reported claims 163                  
Reinsurance | Casualty | 2021                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 425 434 439              
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 102 53 15              
Total of IBNR liabilities plus expected development on reported claims 205                  
Reinsurance | Casualty | 2022                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 527 547                
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 61 18                
Total of IBNR liabilities plus expected development on reported claims 390                  
Reinsurance | Casualty | 2023                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 657                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 18                  
Total of IBNR liabilities plus expected development on reported claims 568                  
Reinsurance | Property catastrophe                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 1,229                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 668                  
All outstanding liabilities before 2014, net of reinsurance 2                  
Liabilities for losses and loss adjustment expenses, net of reinsurance 563                  
Reinsurance | Property catastrophe | 2014                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 19 19 19 19 20 20 22 25 30 44
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 19 19 19 19 19 18 19 18 20 14
Total of IBNR liabilities plus expected development on reported claims 0                  
Reinsurance | Property catastrophe | 2015                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 3 3 3 3 4 6 12 18 33  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 2 2 2 2 2 2 2 (2) (3)  
Total of IBNR liabilities plus expected development on reported claims 0                  
Reinsurance | Property catastrophe | 2016                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 5 5 6 7 9 13 17 24    
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 3 3 3 2 3 2 2 (7)    
Total of IBNR liabilities plus expected development on reported claims 1                  
Reinsurance | Property catastrophe | 2017                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 22 21 24 36 50 54 86      
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 17 16 14 27 37 32 31      
Total of IBNR liabilities plus expected development on reported claims (1)                  
Reinsurance | Property catastrophe | 2018                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 5 8 17 30 49 71        
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance (9) (11) (13) 16 5 27        
Total of IBNR liabilities plus expected development on reported claims 3                  
Reinsurance | Property catastrophe | 2019                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance (7) 1 9 10 20          
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance (13) (14) 11 7 4          
Total of IBNR liabilities plus expected development on reported claims 2                  
Reinsurance | Property catastrophe | 2020                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 326 337 333 269            
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 249 207 158 56            
Total of IBNR liabilities plus expected development on reported claims 17                  
Reinsurance | Property catastrophe | 2021                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 294 308 314              
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 222 171 65              
Total of IBNR liabilities plus expected development on reported claims 13                  
Reinsurance | Property catastrophe | 2022                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 295 303                
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 169 70                
Total of IBNR liabilities plus expected development on reported claims 41                  
Reinsurance | Property catastrophe | 2023                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 267                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 9                  
Total of IBNR liabilities plus expected development on reported claims 76                  
Reinsurance | Property excluding property catastrophe                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 3,285                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 2,029                  
All outstanding liabilities before 2014, net of reinsurance 5                  
Liabilities for losses and loss adjustment expenses, net of reinsurance 1,261                  
Reinsurance | Property excluding property catastrophe | 2014                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 79 79 80 82 84 88 90 98 117 142
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 78 78 78 78 78 78 76 71 62 23
Total of IBNR liabilities plus expected development on reported claims 0                  
Reinsurance | Property excluding property catastrophe | 2015                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 167 167 173 176 187 188 184 188 214  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 160 159 159 159 165 160 149 119 75  
Total of IBNR liabilities plus expected development on reported claims 4                  
Reinsurance | Property excluding property catastrophe | 2016                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 130 130 136 139 135 137 145 175    
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 115 115 114 111 104 98 94 33    
Total of IBNR liabilities plus expected development on reported claims 6                  
Reinsurance | Property excluding property catastrophe | 2017                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 202 206 214 230 237 250 268      
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 186 182 179 164 156 125 28      
Total of IBNR liabilities plus expected development on reported claims 7                  
Reinsurance | Property excluding property catastrophe | 2018                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 203 202 212 235 239 224        
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 177 175 167 152 108 30        
Total of IBNR liabilities plus expected development on reported claims 7                  
Reinsurance | Property excluding property catastrophe | 2019                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 190 190 195 206 216          
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 169 162 150 124 43          
Total of IBNR liabilities plus expected development on reported claims 3                  
Reinsurance | Property excluding property catastrophe | 2020                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 320 320 340 368            
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 267 243 207 101            
Total of IBNR liabilities plus expected development on reported claims 15                  
Reinsurance | Property excluding property catastrophe | 2021                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 491 497 545              
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 364 270 136              
Total of IBNR liabilities plus expected development on reported claims 38                  
Reinsurance | Property excluding property catastrophe | 2022                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 668 742                
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 361 143                
Total of IBNR liabilities plus expected development on reported claims 119                  
Reinsurance | Property excluding property catastrophe | 2023                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 835                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 152                  
Total of IBNR liabilities plus expected development on reported claims 414                  
Reinsurance | Marine and aviation                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 611                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 271                  
All outstanding liabilities before 2014, net of reinsurance 17                  
Liabilities for losses and loss adjustment expenses, net of reinsurance 357                  
Reinsurance | Marine and aviation | 2014                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 18 19 22 22 23 23 25 27 29 31
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 17 17 16 16 15 15 12 11 8 4
Total of IBNR liabilities plus expected development on reported claims 0                  
Reinsurance | Marine and aviation | 2015                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 24 25 27 28 30 31 32 37 33  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 22 22 22 22 22 21 19 13 0  
Total of IBNR liabilities plus expected development on reported claims 1                  
Reinsurance | Marine and aviation | 2016                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 11 12 15 17 19 23 23 27    
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 7 7 7 6 3 0 (2) (7)    
Total of IBNR liabilities plus expected development on reported claims 3                  
Reinsurance | Marine and aviation | 2017                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 15 17 20 21 24 26 29      
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 12 12 12 11 9 6 2      
Total of IBNR liabilities plus expected development on reported claims 3                  
Reinsurance | Marine and aviation | 2018                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 21 21 24 24 26 27        
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 15 14 13 11 7 2        
Total of IBNR liabilities plus expected development on reported claims 3                  
Reinsurance | Marine and aviation | 2019                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 62 61 60 55 48          
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 43 35 29 21 11          
Total of IBNR liabilities plus expected development on reported claims 9                  
Reinsurance | Marine and aviation | 2020                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 80 79 76 83            
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 60 42 26 9            
Total of IBNR liabilities plus expected development on reported claims 10                  
Reinsurance | Marine and aviation | 2021                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 81 96 110              
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 45 24 8              
Total of IBNR liabilities plus expected development on reported claims 18                  
Reinsurance | Marine and aviation | 2022                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 138 126                
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 37 12                
Total of IBNR liabilities plus expected development on reported claims 59                  
Reinsurance | Marine and aviation | 2023                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 161                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 13                  
Total of IBNR liabilities plus expected development on reported claims 127                  
Reinsurance | Other specialty                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 5,483                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 3,408                  
All outstanding liabilities before 2014, net of reinsurance 19                  
Liabilities for losses and loss adjustment expenses, net of reinsurance 2,094                  
Reinsurance | Other specialty | 2014                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 295 296 298 304 308 307 312 318 316 337
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 282 280 278 275 271 258 248 229 186 $ 96
Total of IBNR liabilities plus expected development on reported claims 1                  
Reinsurance | Other specialty | 2015                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 255 258 259 270 273 273 276 278 280  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 241 240 239 236 224 211 197 162 $ 83  
Total of IBNR liabilities plus expected development on reported claims 3                  
Reinsurance | Other specialty | 2016                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 307 306 309 314 307 316 323 326    
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 293 289 283 277 261 242 205 $ 108    
Total of IBNR liabilities plus expected development on reported claims 6                  
Reinsurance | Other specialty | 2017                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 363 366 370 372 372 390 398      
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 346 337 326 313 298 256 $ 136      
Total of IBNR liabilities plus expected development on reported claims 15                  
Reinsurance | Other specialty | 2018                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 423 424 428 404 409 416        
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 376 353 336 315 276 $ 130        
Total of IBNR liabilities plus expected development on reported claims 29                  
Reinsurance | Other specialty | 2019                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 405 395 400 406 427          
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 325 303 277 211 $ 121          
Total of IBNR liabilities plus expected development on reported claims 40                  
Reinsurance | Other specialty | 2020                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 539 519 524 593            
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 405 370 293 $ 134            
Total of IBNR liabilities plus expected development on reported claims 61                  
Reinsurance | Other specialty | 2021                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 613 611 610              
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 432 311 $ 152              
Total of IBNR liabilities plus expected development on reported claims 80                  
Reinsurance | Other specialty | 2022                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 935 953                
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 464 $ 182                
Total of IBNR liabilities plus expected development on reported claims 225                  
Reinsurance | Other specialty | 2023                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 1,348                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 244                  
Total of IBNR liabilities plus expected development on reported claims $ 817                  
XML 85 R69.htm IDEA: XBRL DOCUMENT v3.24.0.1
Short Duration Contracts - Claims development - Mortgage (Details)
$ in Millions
Dec. 31, 2023
USD ($)
claims
Dec. 31, 2022
USD ($)
Dec. 31, 2021
USD ($)
Dec. 31, 2020
USD ($)
Dec. 31, 2019
USD ($)
Dec. 31, 2018
USD ($)
Dec. 31, 2017
USD ($)
Dec. 31, 2016
USD ($)
Dec. 31, 2015
USD ($)
Dec. 31, 2014
USD ($)
Claims Development [Line Items]                    
Liabilities for losses and loss adjustment expenses, net of reinsurance $ 15,700                  
Mortgage                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 1,092                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 790                  
All outstanding liabilities before 2012, net of reinsurance 8                  
Liabilities for losses and loss adjustment expenses, net of reinsurance 310                  
Mortgage | 2014                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance 259 $ 261 $ 263 $ 263 $ 261 $ 266 $ 266 $ 279 $ 297 $ 316
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 258 257 257 256 254 247 234 202 129 $ 20
Total of IBNR liabilities plus expected development on reported claims $ 0                  
Cumulative number of paid claims | claims 6,332                  
Mortgage | 2015                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 188 189 191 191 189 195 198 197 223  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 186 185 184 183 180 171 151 92 $ 16  
Total of IBNR liabilities plus expected development on reported claims $ 0                  
Cumulative number of paid claims | claims 4,588                  
Mortgage | 2016                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 136 137 142 142 141 149 171 184    
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 133 132 132 131 127 113 72 $ 11    
Total of IBNR liabilities plus expected development on reported claims $ 0                  
Cumulative number of paid claims | claims 3,462                  
Mortgage | 2017                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 99 102 109 108 107 132 179      
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 93 92 90 87 79 48 $ 9      
Total of IBNR liabilities plus expected development on reported claims $ 0                  
Cumulative number of paid claims | claims 2,541                  
Mortgage | 2018                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 69 72 88 89 96 132        
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 60 59 56 50 31 $ 4        
Total of IBNR liabilities plus expected development on reported claims $ 0                  
Cumulative number of paid claims | claims 1,763                  
Mortgage | 2019                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 51 63 110 119 108          
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 39 34 29 20 $ 3          
Total of IBNR liabilities plus expected development on reported claims $ 0                  
Cumulative number of paid claims | claims 1,149                  
Mortgage | 2020                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 33 78 374 420            
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 13 8 4 $ 1            
Total of IBNR liabilities plus expected development on reported claims $ 0                  
Cumulative number of paid claims | claims 492                  
Mortgage | 2021                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 20 77 144              
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 5 2 $ 0              
Total of IBNR liabilities plus expected development on reported claims $ 0                  
Cumulative number of paid claims | claims 211                  
Mortgage | 2022                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 55 173                
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 3 $ 0                
Total of IBNR liabilities plus expected development on reported claims $ 0                  
Cumulative number of paid claims | claims 135                  
Mortgage | 2023                    
Claims Development [Line Items]                    
Incurred losses and allocated loss adjustment expenses, net of reinsurance $ 182                  
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance 0                  
Total of IBNR liabilities plus expected development on reported claims $ 1                  
Cumulative number of paid claims | claims 9                  
XML 86 R70.htm IDEA: XBRL DOCUMENT v3.24.0.1
Short Duration Contracts - Percentage annual payout - all segments (Details)
Dec. 31, 2023
Insurance | Property, energy, marine and aviation  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year One 20.50%
Year Two 43.70%
Year Three 18.10%
Year Four 6.00%
Year Five 2.20%
Year Six 1.00%
Year Seven 2.60%
Year Eight 1.90%
Year Nine (0.40%)
Year Ten 1.50%
Insurance | Third party occurrence business  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year One 3.50%
Year Two 9.40%
Year Three 11.50%
Year Four 11.40%
Year Five 9.90%
Year Six 9.80%
Year Seven 5.60%
Year Eight 4.60%
Year Nine 4.40%
Year Ten 5.60%
Insurance | Third party claims-made business  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year One 4.10%
Year Two 15.50%
Year Three 16.50%
Year Four 11.10%
Year Five 14.30%
Year Six 10.10%
Year Seven 6.30%
Year Eight 5.20%
Year Nine 5.70%
Year Ten 2.00%
Insurance | Multi-line and other specialty  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year One 34.00%
Year Two 29.30%
Year Three 11.30%
Year Four 8.20%
Year Five 4.50%
Year Six 2.90%
Year Seven 1.10%
Year Eight 0.40%
Year Nine 0.40%
Year Ten 0.50%
Reinsurance | Casualty  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year One 2.80%
Year Two 7.70%
Year Three 12.10%
Year Four 10.40%
Year Five 11.40%
Year Six 8.50%
Year Seven 7.80%
Year Eight 5.30%
Year Nine 5.20%
Year Ten 2.90%
Reinsurance | Property catastrophe  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year One 56.00%
Year Two (17.50%)
Year Three 47.20%
Year Four (41.90%)
Year Five (6.20%)
Year Six 10.90%
Year Seven 2.40%
Year Eight 1.10%
Year Nine (1.70%)
Year Ten 0.00%
Reinsurance | Property excluding property catastrophe  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year One 25.00%
Year Two 38.20%
Year Three 14.20%
Year Four 6.00%
Year Five 4.40%
Year Six 0.20%
Year Seven 0.70%
Year Eight 0.10%
Year Nine 0.40%
Year Ten 0.40%
Reinsurance | Marine and aviation  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year One 3.00%
Year Two 28.80%
Year Three 20.00%
Year Four 13.00%
Year Five 10.60%
Year Six 3.40%
Year Seven 2.20%
Year Eight 1.00%
Year Nine 3.80%
Year Ten 0.40%
Reinsurance | Other specialty  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year One 28.60%
Year Two 29.90%
Year Three 13.90%
Year Four 5.70%
Year Five 4.50%
Year Six 3.90%
Year Seven 1.70%
Year Eight 0.90%
Year Nine 0.60%
Year Ten 1.00%
Mortgage  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year One 5.10%
Year Two 29.10%
Year Three 24.20%
Year Four 10.70%
Year Five 4.70%
Year Six 1.80%
Year Seven 0.70%
Year Eight 0.50%
Year Nine 0.20%
Year Ten 0.10%
XML 87 R71.htm IDEA: XBRL DOCUMENT v3.24.0.1
Short Duration Contracts - Reconciliation of claims development to liability (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance $ 15,700      
Unpaid losses and loss adjustment expenses recoverable 6,690 $ 6,280 $ 5,599 $ 4,315
Lines other than short duration 132      
Discounting (66)      
Unallocated claims adjustment expenses 296      
Total reconciling items 362      
Reserve for losses and loss adjustment expenses 22,752 $ 20,032 $ 17,757 $ 16,514
Other short duration lines not included        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance 284      
Unpaid losses and loss adjustment expenses recoverable [1] 468      
Other short duration lines not included | Loss portfolio transfer        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Unpaid losses and loss adjustment expenses recoverable [1] 225      
Total for short duration lines        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Unpaid losses and loss adjustment expenses recoverable 6,690      
Insurance | Property, energy, marine and aviation        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance 824      
Unpaid losses and loss adjustment expenses recoverable 359      
Insurance | Third party occurrence business        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance 3,601      
Unpaid losses and loss adjustment expenses recoverable 2,025      
Insurance | Third party claims-made business        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance 2,352      
Unpaid losses and loss adjustment expenses recoverable 1,001      
Insurance | Multi-line and other specialty        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance 1,348      
Unpaid losses and loss adjustment expenses recoverable 246      
Reinsurance | Casualty        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance 2,706      
Unpaid losses and loss adjustment expenses recoverable 738      
Reinsurance | Property catastrophe        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance 563      
Unpaid losses and loss adjustment expenses recoverable 519      
Reinsurance | Property excluding property catastrophe        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance 1,261      
Unpaid losses and loss adjustment expenses recoverable 239      
Reinsurance | Marine and aviation        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance 357      
Unpaid losses and loss adjustment expenses recoverable 240      
Reinsurance | Other specialty        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance 2,094      
Unpaid losses and loss adjustment expenses recoverable 828      
Mortgage        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Liabilities for losses and loss adjustment expenses, net of reinsurance 310      
Unpaid losses and loss adjustment expenses recoverable 33      
Consolidating adjustments and eliminations        
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]        
Unpaid losses and loss adjustment expenses recoverable $ (6)      
[1] Includes unpaid loss and loss adjustment expenses recoverable of $225 million related to the loss portfolio transfer reinsurance agreements.
XML 88 R72.htm IDEA: XBRL DOCUMENT v3.24.0.1
Short Duration Contracts (Details)
12 Months Ended
Dec. 31, 2023
USD ($)
Mortgage  
Claims Development [Line Items]  
Large claim size threshold $ 250,000
XML 89 R73.htm IDEA: XBRL DOCUMENT v3.24.0.1
Allowance for Expected Credit Losses - Premiums receivable (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Credit Loss [Abstract]    
Balance at beginning of period $ 3,625 $ 2,633
Balance at end of period 4,644 3,625
Allowance for Expected Credit Losses    
Balance at beginning of period 35 40
Change for provision of expected credit losses [1] (1) (5)
Balance at end of period 34 35
Write-offs charged against the allowance $ 3 $ 11
[1] Amounts deemed uncollectible are written-off in operating expenses. For the 2023 and 2022 periods, amounts written off totaled $3 million and $11 million, respectively.
XML 90 R74.htm IDEA: XBRL DOCUMENT v3.24.0.1
Allowance for Expected Credit Losses - Reinsurance recoverables (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Credit Loss [Abstract]    
Balance at beginning of period $ 6,564 $ 5,881
Balance at end of period 7,064 6,564
Allowance for Expected Credit Losses    
Balance at beginning of period 22 13
Change for provision of expected credit losses (1) 9
Balance at end of period $ 21 $ 22
XML 91 R75.htm IDEA: XBRL DOCUMENT v3.24.0.1
Allowance for Expected Credit Losses - Ceded credit risk (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Concentration Risk [Line Items]      
Reinsurance recoverable for paid and unpaid claims and claims adjustments $ 7,064 $ 6,564 $ 5,881
Shareholders' equity | Reinsurer concentration risk | Largest balance due from any one carrier      
Concentration Risk [Line Items]      
Concentration risk percentage 7.20% 9.00%  
AM Best "A-" Or Better Rating | Reinsurance recoverable | Reinsurer concentration risk      
Concentration Risk [Line Items]      
Concentration risk percentage 66.80% 68.80%  
Rating Below A- | Reinsurance recoverable | Reinsurer concentration risk | All Other Carriers      
Concentration Risk [Line Items]      
Concentration risk percentage 0.10% 0.10%  
No AM Best rating | Reinsurance recoverable | Reinsurer concentration risk | Reinsurance trusts or letters of credit      
Concentration Risk [Line Items]      
Concentration risk percentage 95.00% 95.00%  
No AM Best rating | Reinsurance recoverable | Reinsurer concentration risk | All Other Carriers      
Concentration Risk [Line Items]      
Concentration risk percentage [1] 33.10% 31.10%  
[1] At December 31, 2023 and 2022 period, over 95% of such amount were collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other, respectively
XML 92 R76.htm IDEA: XBRL DOCUMENT v3.24.0.1
Allowance for Expected Credit Losses - Contractholder receivables (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Credit Loss [Abstract]    
Balance at beginning of period $ 1,731 $ 1,829
Balance at end of period 1,814 1,731
Allowance for Expected Credit Losses    
Balance at beginning of period 3 3
Change for provision of expected credit losses 0 0
Balance at end of period $ 3 $ 3
XML 93 R77.htm IDEA: XBRL DOCUMENT v3.24.0.1
Reinsurance - Effects of reinsurance (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Premiums Written      
Direct $ 9,652 $ 8,542 $ 7,707
Assumed 8,751 6,785 5,045
Ceded (4,935) (4,249) (3,735)
Net premiums written 13,468 11,078 9,017
Premiums Earned      
Direct 9,131 8,058 7,150
Assumed 7,890 5,768 4,334
Ceded (4,581) (4,147) (3,402)
Net premiums earned 12,440 9,679 8,082
Losses and Loss Adjustment Expenses      
Direct 4,739 3,991 4,267
Assumed 3,975 3,558 2,826
Ceded (2,468) (2,521) (2,508)
Net $ 6,246 $ 5,028 $ 4,585
XML 94 R78.htm IDEA: XBRL DOCUMENT v3.24.0.1
Reinsurance - Coverage and retention (Details) - Variable Interest Entity, Not Primary Beneficiary
$ in Millions
12 Months Ended
Dec. 31, 2023
USD ($)
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance $ 2,559
Current Coverage 1,553
Remaining Retention, Net $ 1,017
Amortization period 10 years
Bellemeade 2019-1 Ltd  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance $ 342 [1]
Current Coverage 71 [1]
Remaining Retention, Net 134 [1]
Bellemeade 2019-3 Ltd  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 701 [2]
Current Coverage 99 [2]
Remaining Retention, Net 218 [2]
Bellemeade 2021-3 Ltd  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 639 [3]
Current Coverage 541 [3]
Remaining Retention, Net 134 [3]
Bellemeade 2021-3 Ltd | Funded By VIE  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 508
Bellemeade 2021-3 Ltd | Directly provided capacity  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 131
Bellemeade 2022-1 Ltd  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 317 [4]
Current Coverage 282 [4]
Remaining Retention, Net 141 [4]
Bellemeade 2022-1 Ltd | Funded By VIE  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 284
Bellemeade 2022-1 Ltd | Directly provided capacity  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 33
Bellemeade 2022-2 Ltd  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 327 [5]
Current Coverage 327 [5]
Remaining Retention, Net 205 [5]
Bellemeade 2022-2 Ltd | Funded By VIE  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 201
Bellemeade 2022-2 Ltd | Directly provided capacity  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 126
Bellemeade 2023-1 Ltd  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 233 [6]
Current Coverage 233 [6]
Remaining Retention, Net 185 [6]
Bellemeade 2023-1 Ltd | Funded By VIE  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance 187
Bellemeade 2023-1 Ltd | Directly provided capacity  
Variable Interest Entity [Line Items]  
Initial Coverage at Issuance $ 47
[1] Issued in March 2019, covering in-force policies primarily issued between 2005 to 2008 under United Guaranty Residential Insurance Company (“UGRIC”); as well as policies issued through 2015 under both UGRIC and Arch Mortgage Insurance Company.
[2] Issued in July 2019, covering in-force policies issued in 2016.
[3] Issued in September 2021, covering in-force policies issued between April 1, 2021 and June 30, 2021. $508 million was directly funded by Bellemeade Re 2021-3 Ltd. via insurance-linked notes, with an additional $131 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers
[4] Issued in January 2022, covering in-force policies issued between July 1, 2021 and November 30, 2021. $284 million was directly funded by Bellemeade Re 2022-1 Ltd. via insurance-linked notes, with an additional $33 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
[5] Issued in September 2022, covering in-force policies issued between November 1, 2021 and June 30, 2022. $201 million was directly funded by Bellemeade Re 2022-2 Ltd. via insurance-linked notes, with an additional $126 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers
[6] Issued in October 2023, covering in-force policies issued between January 1, 2023 and September 30, 2023. $187 million was directly funded by Bellemeade Re 2023-1 Ltd. via insurance-linked notes, with an additional $47 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers
XML 95 R79.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Summary of available for sale securities (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Available for sale securities:      
Estimated fair value $ 25,616 $ 21,015  
Gross Unrealized Gains 276 90  
Gross Unrealized Losses (827) (1,649)  
Allowance for Expected Credit Losses (28) (41)  
Cost or Amortized Cost 26,195 22,615  
Fixed maturities available for sale, at fair value      
Available for sale securities:      
Estimated fair value 23,553 19,683  
Gross Unrealized Gains 275 89  
Gross Unrealized Losses (825) (1,647)  
Allowance for Expected Credit Losses (28) (41) $ (3)
Cost or Amortized Cost 24,131 21,282  
Corporate bonds      
Available for sale securities:      
Estimated fair value 10,855 8,020  
Gross Unrealized Gains 157 55  
Gross Unrealized Losses (464) (781)  
Allowance for Expected Credit Losses (20) (30)  
Cost or Amortized Cost 11,182 8,776  
US government and government agencies      
Available for sale securities:      
Estimated fair value 5,814 5,162  
Gross Unrealized Gains 63 15  
Gross Unrealized Losses (86) (343)  
Allowance for Expected Credit Losses 0 0  
Cost or Amortized Cost 5,837 5,490  
Asset backed securities      
Available for sale securities:      
Estimated fair value 2,250 1,927  
Gross Unrealized Gains 11 1  
Gross Unrealized Losses (55) (107)  
Allowance for Expected Credit Losses (5) (6)  
Cost or Amortized Cost 2,299 2,039  
Non-US government securities      
Available for sale securities:      
Estimated fair value 2,062 2,313  
Gross Unrealized Gains 33 9  
Gross Unrealized Losses (100) (238)  
Allowance for Expected Credit Losses (1) (2) $ 0
Cost or Amortized Cost 2,130 2,544  
Commercial mortgage backed securities      
Available for sale securities:      
Estimated fair value 1,213 1,047  
Gross Unrealized Gains 3 1  
Gross Unrealized Losses (34) (58)  
Allowance for Expected Credit Losses (2) (3)  
Cost or Amortized Cost 1,246 1,107  
Mortgage backed securities      
Available for sale securities:      
Estimated fair value 1,103 795  
Gross Unrealized Gains 7 5  
Gross Unrealized Losses (66) (87)  
Allowance for Expected Credit Losses 0 0  
Cost or Amortized Cost 1,162 877  
Municipal bonds      
Available for sale securities:      
Estimated fair value 256 419  
Gross Unrealized Gains 1 3  
Gross Unrealized Losses (20) (33)  
Allowance for Expected Credit Losses 0 0  
Cost or Amortized Cost 275 449  
Short-term investments      
Available for sale securities:      
Estimated fair value 2,063 1,332  
Gross Unrealized Gains 1 1  
Gross Unrealized Losses (2) (2)  
Allowance for Expected Credit Losses 0 0  
Cost or Amortized Cost $ 2,064 $ 1,333  
XML 96 R80.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Aging of available for sale securities in an unrealized loss position (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Available for sale securities:    
Estimated Fair Value - Less than 12 Months $ 3,867 $ 12,976
Gross Unrealized Losses - Less than 12 Months (67) (929)
Estimated Fair Value - 12 Months or More 9,555 5,671
Gross Unrealized Losses - 12 Months or More (760) (720)
Estimated Fair Value - Total 13,422 18,647
Gross Unrealized Losses - Total (827) (1,649)
Fixed maturities available for sale, at fair value    
Available for sale securities:    
Estimated Fair Value - Less than 12 Months 3,565 12,739
Gross Unrealized Losses - Less than 12 Months (65) (927)
Estimated Fair Value - 12 Months or More 9,555 5,671
Gross Unrealized Losses - 12 Months or More (760) (720)
Estimated Fair Value - Total 13,120 18,410
Gross Unrealized Losses - Total (825) (1,647)
Corporate bonds    
Available for sale securities:    
Estimated Fair Value - Less than 12 Months 1,559 4,823
Gross Unrealized Losses - Less than 12 Months (45) (393)
Estimated Fair Value - 12 Months or More 4,959 2,559
Gross Unrealized Losses - 12 Months or More (419) (388)
Estimated Fair Value - Total 6,518 7,382
Gross Unrealized Losses - Total (464) (781)
US government and government agencies    
Available for sale securities:    
Estimated Fair Value - Less than 12 Months 1,066 3,557
Gross Unrealized Losses - Less than 12 Months (10) (197)
Estimated Fair Value - 12 Months or More 941 1,443
Gross Unrealized Losses - 12 Months or More (76) (146)
Estimated Fair Value - Total 2,007 5,000
Gross Unrealized Losses - Total (86) (343)
Non-US government securities    
Available for sale securities:    
Estimated Fair Value - Less than 12 Months 365 1,703
Gross Unrealized Losses - Less than 12 Months (4) (154)
Estimated Fair Value - 12 Months or More 897 542
Gross Unrealized Losses - 12 Months or More (96) (84)
Estimated Fair Value - Total 1,262 2,245
Gross Unrealized Losses - Total (100) (238)
Mortgage backed securities    
Available for sale securities:    
Estimated Fair Value - Less than 12 Months 221 546
Gross Unrealized Losses - Less than 12 Months (3) (52)
Estimated Fair Value - 12 Months or More 522 154
Gross Unrealized Losses - 12 Months or More (63) (35)
Estimated Fair Value - Total 743 700
Gross Unrealized Losses - Total (66) (87)
Asset backed securities    
Available for sale securities:    
Estimated Fair Value - Less than 12 Months 234 1,148
Gross Unrealized Losses - Less than 12 Months (1) (66)
Estimated Fair Value - 12 Months or More 1,112 512
Gross Unrealized Losses - 12 Months or More (54) (41)
Estimated Fair Value - Total 1,346 1,660
Gross Unrealized Losses - Total (55) (107)
Commercial mortgage backed securities    
Available for sale securities:    
Estimated Fair Value - Less than 12 Months 100 598
Gross Unrealized Losses - Less than 12 Months (1) (35)
Estimated Fair Value - 12 Months or More 909 445
Gross Unrealized Losses - 12 Months or More (33) (23)
Estimated Fair Value - Total 1,009 1,043
Gross Unrealized Losses - Total (34) (58)
Municipal bonds    
Available for sale securities:    
Estimated Fair Value - Less than 12 Months 20 364
Gross Unrealized Losses - Less than 12 Months (1) (30)
Estimated Fair Value - 12 Months or More 215 16
Gross Unrealized Losses - 12 Months or More (19) (3)
Estimated Fair Value - Total 235 380
Gross Unrealized Losses - Total (20) (33)
Short-term investments    
Available for sale securities:    
Estimated Fair Value - Less than 12 Months 302 237
Gross Unrealized Losses - Less than 12 Months (2) (2)
Estimated Fair Value - 12 Months or More 0 0
Gross Unrealized Losses - 12 Months or More 0 0
Estimated Fair Value - Total 302 237
Gross Unrealized Losses - Total $ (2) $ (2)
XML 97 R81.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Maturity profile of available for sale securities (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Estimated Fair Value:    
Estimated fair value $ 25,616 $ 21,015
Amortized Cost:    
Amortized cost 26,195 22,615
Fixed maturities available for sale, at fair value    
Estimated Fair Value:    
Due in one year or less 480 511
Due after one year through five years 12,924 11,016
Due after five years through 10 years 5,249 3,984
Due after 10 years 334 403
Single maturity date 18,987 15,914
Estimated fair value 23,553 19,683
Amortized Cost:    
Due in one year or less 499 537
Due after one year through five years 13,101 11,715
Due after five years through 10 years 5,450 4,527
Due after 10 years 374 480
Single maturity date 19,424 17,259
Amortized cost 24,131 21,282
Mortgage backed securities    
Estimated Fair Value:    
Securities without single maturity date 1,103 795
Estimated fair value 1,103 795
Amortized Cost:    
Securities without single maturity date 1,162 877
Amortized cost 1,162 877
Commercial mortgage backed securities    
Estimated Fair Value:    
Securities without single maturity date 1,213 1,047
Estimated fair value 1,213 1,047
Amortized Cost:    
Securities without single maturity date 1,246 1,107
Amortized cost 1,246 1,107
Asset backed securities    
Estimated Fair Value:    
Securities without single maturity date 2,250 1,927
Estimated fair value 2,250 1,927
Amortized Cost:    
Securities without single maturity date 2,299 2,039
Amortized cost $ 2,299 $ 2,039
XML 98 R82.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Net investment Income (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Net investment income:      
Gross investment income $ 1,100 $ 567 $ 478
Investment expenses (77) (71) (89)
Net investment income 1,023 496 389
Fixed maturities available for sale, at fair value (amortized cost: $24,131 and $21,282; net of allowance for credit losses: $28 and $41)      
Net investment income:      
Gross investment income 917 469 331
Short-term investments      
Net investment income:      
Gross investment income 68 29 7
Equity securities      
Net investment income:      
Gross investment income 22 22 42
Term loan investments      
Net investment income:      
Gross investment income 0 0 30
Other      
Net investment income:      
Gross investment income [1] $ 93 $ 47 $ 68
[1] Includes interest income on operating cash, distributions from investment funds and other items.
XML 99 R83.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Net realized gains and losses (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Net realized gains and losses:      
Available for sale securities, gross gains on investment sales $ 116 $ 81 $ 314
Available for sale securities, gross losses on investment sales (547) (317) (157)
Equity securities at fair value, net realized gains (losses) on sales during the period 61 75 123
Equity securities at fair value, net unrealized gains (losses) on equity securities still held at reporting date 88 (267) 49
Allowance for credit losses - investment related 3 (44) (1)
Allowance for credit losses - underwriting related (1) (13) 0
Derivative instruments 59 (75) (33)
Other [1] 10 (4) (55)
Net realized gains (losses) $ (165) $ (663) $ 380
Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Net realized gains (losses) Net realized gains (losses) Net realized gains (losses)
Somers Holdings Ltd.      
Net realized gains and losses:      
Gain (loss) on deconsolidation     $ 33
Fixed maturities      
Net realized gains and losses:      
Change in fair value of assets and liabilities accounted for using the fair value option $ 18 $ (71) 9
Other investments      
Net realized gains and losses:      
Change in fair value of assets and liabilities accounted for using the fair value option 27 (21) 117
Equity securities      
Net realized gains and losses:      
Change in fair value of assets and liabilities accounted for using the fair value option 1 (4) 13
Short-term investments      
Net realized gains and losses:      
Change in fair value of assets and liabilities accounted for using the fair value option $ 0 $ (3) $ 1
[1] 2021 period reflected $33 million of losses related to the Company’sdeconsolidation of Somers
XML 100 R84.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Other investments (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Fair Value, Option, Quantitative Disclosures [Line Items]    
Other investments $ 2,488 $ 1,644
Other investments    
Fair Value, Option, Quantitative Disclosures [Line Items]    
Other investments 1,777 1,043
Fixed maturities    
Fair Value, Option, Quantitative Disclosures [Line Items]    
Other investments 683 554
Equity securities    
Fair Value, Option, Quantitative Disclosures [Line Items]    
Other investments 7 14
Short-term investments    
Fair Value, Option, Quantitative Disclosures [Line Items]    
Other investments $ 21 $ 33
XML 101 R85.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Other investments by strategy (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Schedule Of Other Investments [Line Items]    
Other investments $ 2,488 $ 1,644
Other investments    
Schedule Of Other Investments [Line Items]    
Other investments 1,777 1,043
Lending    
Schedule Of Other Investments [Line Items]    
Other investments 427 406
Investment grade fixed income    
Schedule Of Other Investments [Line Items]    
Other investments 754 271
Term loan investments    
Schedule Of Other Investments [Line Items]    
Other investments 272 164
Private equity    
Schedule Of Other Investments [Line Items]    
Other investments 182 123
Credit related funds    
Schedule Of Other Investments [Line Items]    
Other investments 124 56
Energy    
Schedule Of Other Investments [Line Items]    
Other investments $ 18 $ 23
XML 102 R86.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Equity method investments and investments in affiliates (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Schedule of Equity Method Investments [Line Items]      
Investments accounted for using the equity method $ 4,566 $ 3,774  
Equity in net income (loss) of investment funds accounted for using the equity method 278 115 $ 366
Balance sheet:      
Total assets 58,906 47,990 45,101
Total liabilities 40,551 35,069 31,546
Income statement:      
Total revenues 13,634 9,613 9,248
Net income 4,442 1,482 2,239
Credit related funds      
Schedule of Equity Method Investments [Line Items]      
Investments accounted for using the equity method 1,258 1,136  
Private equity      
Schedule of Equity Method Investments [Line Items]      
Investments accounted for using the equity method 1,175 917  
Real estate      
Schedule of Equity Method Investments [Line Items]      
Investments accounted for using the equity method 666 535  
Lending      
Schedule of Equity Method Investments [Line Items]      
Investments accounted for using the equity method 597 531  
Infrastructure      
Schedule of Equity Method Investments [Line Items]      
Investments accounted for using the equity method 320 245  
Fixed income      
Schedule of Equity Method Investments [Line Items]      
Investments accounted for using the equity method 277 130  
Equity Funds      
Schedule of Equity Method Investments [Line Items]      
Investments accounted for using the equity method 178 169  
Energy      
Schedule of Equity Method Investments [Line Items]      
Investments accounted for using the equity method 95 111  
Equity Method Investment, Nonconsolidated Investee or Group of Investees [Member]      
Balance sheet:      
Invested assets 91,534 74,961  
Total assets 108,952 88,063  
Total liabilities 33,901 27,553  
Net assets 75,051 60,510  
Income statement:      
Total revenues 7,766 12,305 11,786
Total expenses 7,174 5,374 3,239
Net income $ 592 $ 6,931 $ 8,547
XML 103 R87.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Limited partnership interests (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Schedule of Equity Method Investments [Line Items]    
Variable Interest Entity, Reporting Entity Involvement, Maximum Loss Exposure, Amount $ 4,680 $ 3,904
Aggregate commitments 3,600 2,900
Equity method investments    
Schedule of Equity Method Investments [Line Items]    
Variable Interest Entity, Reporting Entity Involvement, Maximum Loss Exposure, Amount [1] 4,566 3,774
Aggregate commitments 3,400 2,600
Fair value option    
Schedule of Equity Method Investments [Line Items]    
Variable Interest Entity, Reporting Entity Involvement, Maximum Loss Exposure, Amount [2] 114 130
Aggregate commitments $ 32 $ 17
[1] Aggregate unfunded commitments were $3.4 billion at December 31, 2023, consistent with $2.6 billion at December 31, 2022.
[2] Aggregate unfunded commitments were $32 million at December 31, 2023, compared to $17 million at December 31, 2022.
XML 104 R88.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Investments in operating affiliates (Details)
€ / shares in Units, $ / shares in Units, € in Millions, $ in Millions
12 Months Ended
Dec. 31, 2023
USD ($)
Dec. 31, 2022
USD ($)
Dec. 31, 2021
USD ($)
Dec. 31, 2021
EUR (€)
€ / shares
Jul. 01, 2021
$ / shares
Schedule of Equity Method Investments [Line Items]          
Investment in operating affiliates $ 1,119 $ 965      
Income (loss) from operating affiliates $ 184 75 $ 264    
Coface          
Schedule of Equity Method Investments [Line Items]          
Percentage ownership 29.90%   29.50% 29.50%  
Investment in affiliate, price per share | € / shares       € 9.95  
Equity method investment, aggregate cost     $ 546 € 453  
Operating affiliate gain on acquisition     75    
Operating affiliates , deferred gain on acquisition     $ 36    
Operating affiliates, deferred gain on acquisition, amortization period     5 years    
Investment in operating affiliates $ 570 563      
Coface | Issued Shares Excluding Treasury Stock          
Schedule of Equity Method Investments [Line Items]          
Percentage ownership 30.10%        
Greysbridge Holdings Ltd          
Schedule of Equity Method Investments [Line Items]          
Percentage ownership         40.00%
Investment in affiliate, price per share | $ / shares         $ 35.00
Equity method investment, aggregate cost     $ 279    
Operating affiliate gain on acquisition     96    
Investment in operating affiliates $ 430 $ 306      
Greysbridge Holdings Ltd | Kelso And Company          
Schedule of Equity Method Investments [Line Items]          
Percentage ownership         30.00%
Greysbridge Holdings Ltd | Warburg Pincus LLC          
Schedule of Equity Method Investments [Line Items]          
Percentage ownership         30.00%
Somers Holdings Ltd.          
Schedule of Equity Method Investments [Line Items]          
Gain (loss) on deconsolidation     $ 33    
XML 105 R89.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Allowance for expected credit losses (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Debt Securities, Available-for-sale, Allowance for Credit Loss [Line Items]    
Balance at beginning of period $ 41  
Balance at end of period 28 $ 41
Fixed maturities    
Debt Securities, Available-for-sale, Allowance for Credit Loss [Line Items]    
Balance at beginning of period 41 3
Additions for current-period provision for expected credit losses 7 55
Additions (reductions) for previously recognized expected credit losses (10) (13)
Reductions due to disposals (10) (4)
Balance at end of period 28 41
Structured securities    
Debt Securities, Available-for-sale, Allowance for Credit Loss [Line Items]    
Balance at beginning of period [1] 9 1
Additions for current-period provision for expected credit losses [1] 2 14
Additions (reductions) for previously recognized expected credit losses [1] (3) (4)
Reductions due to disposals [1] (1) (2)
Balance at end of period [1] 7 9
Non-US government securities    
Debt Securities, Available-for-sale, Allowance for Credit Loss [Line Items]    
Balance at beginning of period 2 0
Additions for current-period provision for expected credit losses 0 2
Additions (reductions) for previously recognized expected credit losses 0 0
Reductions due to disposals (1) 0
Balance at end of period 1 2
Corporate bonds    
Debt Securities, Available-for-sale, Allowance for Credit Loss [Line Items]    
Balance at beginning of period 30 2
Additions for current-period provision for expected credit losses 5 39
Additions (reductions) for previously recognized expected credit losses (7) (9)
Reductions due to disposals (8) (2)
Balance at end of period $ 20 $ 30
[1] Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
XML 106 R90.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Restricted assets (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Restricted Assets [Line Items]    
Restricted assets $ 9,932 $ 8,701
Collateral or guarantees - affiliated transactions    
Restricted Assets [Line Items]    
Restricted assets 4,854 4,254
Collateral or guarantees - third party agreements    
Restricted Assets [Line Items]    
Restricted assets 2,869 2,633
Deposits with US regulatory authorities    
Restricted Assets [Line Items]    
Restricted assets 833 776
Deposits with non-US regulatory authorities    
Restricted Assets [Line Items]    
Restricted assets [1] $ 1,376 $ 1,038
[1] Primarily includes Funds at Lloyds, deposits with non-U.S. regulatory authorities and other restricted assets.
XML 107 R91.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Cash and restricted cash (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Disclosure Investment Information [Abstract]        
Cash $ 917 $ 855 $ 859  
Restricted cash (included in ‘other assets’) 581 418 455  
Cash and restricted cash $ 1,498 $ 1,273 $ 1,314 $ 1,290
XML 108 R92.htm IDEA: XBRL DOCUMENT v3.24.0.1
Investment Information - Narrative (Details)
$ in Millions
12 Months Ended
Dec. 31, 2023
USD ($)
lots
Dec. 31, 2022
USD ($)
lots
Continuous unrealized loss, qualitative disclosures:    
Number of positions in an unrealized loss position (lots) | lots 7,100 9,810
Total number of positions (lots) | lots 15,720 12,590
Largest single loss | $ $ 6 $ 7
Equity securities, at fair value | $ $ 1,186 $ 860
Equity Method Investment, Financial Statement, Reported Amounts [Abstract]    
Investments, time lag for reporting - low end of range 1 month  
Investments, time lag for reporting - high end of range 3 months  
XML 109 R93.htm IDEA: XBRL DOCUMENT v3.24.0.1
Fair Value - Fair Value Hierarchy (Details) - Recurring - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Quoted Prices in Active Markets for Identical Assets (Level 1)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value $ 8,745 $ 7,188
Liabilities measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Derivative instruments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Other liabilities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Residential Mortgage    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fixed maturities available for sale, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 5,792 5,145
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fixed maturities available for sale, at fair value | Corporate bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fixed maturities available for sale, at fair value | US government and government agencies    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 5,792 5,145
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fixed maturities available for sale, at fair value | Asset backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fixed maturities available for sale, at fair value | Non-US government securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fixed maturities available for sale, at fair value | Commercial mortgage backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fixed maturities available for sale, at fair value | Mortgage backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fixed maturities available for sale, at fair value | Municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 1,786 1,198
Quoted Prices in Active Markets for Identical Assets (Level 1) | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 1,151 829
Quoted Prices in Active Markets for Identical Assets (Level 1) | Derivative instruments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fair value option    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 16 16
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fair value option | Corporate bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fair value option | US government and government agencies    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 13 5
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fair value option | Asset backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fair value option | Non-US government securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fair value option | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 1
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fair value option | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 3 10
Quoted Prices in Active Markets for Identical Assets (Level 1) | Fair value option | Other investments fair value option    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Other Observable Inputs (Level 2)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 18,927 15,474
Liabilities measured at fair value (119) (76)
Significant Other Observable Inputs (Level 2) | Derivative instruments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities measured at fair value (119) (76)
Significant Other Observable Inputs (Level 2) | Other liabilities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities measured at fair value 0 0
Significant Other Observable Inputs (Level 2) | Residential Mortgage    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 2 2
Significant Other Observable Inputs (Level 2) | Fixed maturities available for sale, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 17,614 14,417
Significant Other Observable Inputs (Level 2) | Fixed maturities available for sale, at fair value | Corporate bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 10,708 7,899
Significant Other Observable Inputs (Level 2) | Fixed maturities available for sale, at fair value | US government and government agencies    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 22 17
Significant Other Observable Inputs (Level 2) | Fixed maturities available for sale, at fair value | Asset backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 2,250 1,927
Significant Other Observable Inputs (Level 2) | Fixed maturities available for sale, at fair value | Non-US government securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 2,062 2,313
Significant Other Observable Inputs (Level 2) | Fixed maturities available for sale, at fair value | Commercial mortgage backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 1,213 1,047
Significant Other Observable Inputs (Level 2) | Fixed maturities available for sale, at fair value | Mortgage backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 1,103 795
Significant Other Observable Inputs (Level 2) | Fixed maturities available for sale, at fair value | Municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 256 419
Significant Other Observable Inputs (Level 2) | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 193 134
Significant Other Observable Inputs (Level 2) | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 30 28
Significant Other Observable Inputs (Level 2) | Derivative instruments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 197 149
Significant Other Observable Inputs (Level 2) | Fair value option    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 891 744
Significant Other Observable Inputs (Level 2) | Fair value option | Corporate bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 662 543
Significant Other Observable Inputs (Level 2) | Fair value option | US government and government agencies    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Other Observable Inputs (Level 2) | Fair value option | Asset backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 2 2
Significant Other Observable Inputs (Level 2) | Fair value option | Non-US government securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 6 4
Significant Other Observable Inputs (Level 2) | Fair value option | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 11 32
Significant Other Observable Inputs (Level 2) | Fair value option | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Other Observable Inputs (Level 2) | Fair value option | Other investments fair value option    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 210 163
Significant Unobservable Inputs (Level 3)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 356 161
Liabilities measured at fair value (22) (14)
Significant Unobservable Inputs (Level 3) | Derivative instruments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Other liabilities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities measured at fair value (22) (14)
Significant Unobservable Inputs (Level 3) | Residential Mortgage    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Fixed maturities available for sale, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 147 121
Significant Unobservable Inputs (Level 3) | Fixed maturities available for sale, at fair value | Corporate bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 147 121
Significant Unobservable Inputs (Level 3) | Fixed maturities available for sale, at fair value | US government and government agencies    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Fixed maturities available for sale, at fair value | Asset backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Fixed maturities available for sale, at fair value | Non-US government securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Fixed maturities available for sale, at fair value | Commercial mortgage backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Fixed maturities available for sale, at fair value | Mortgage backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Fixed maturities available for sale, at fair value | Municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 84 0
Significant Unobservable Inputs (Level 3) | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 5 3
Significant Unobservable Inputs (Level 3) | Derivative instruments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Fair value option    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 120 37
Significant Unobservable Inputs (Level 3) | Fair value option | Corporate bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Fair value option | US government and government agencies    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Fair value option | Asset backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Fair value option | Non-US government securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 0 0
Significant Unobservable Inputs (Level 3) | Fair value option | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 10 0
Significant Unobservable Inputs (Level 3) | Fair value option | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 4 4
Significant Unobservable Inputs (Level 3) | Fair value option | Other investments fair value option    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 106 33
Estimated Fair Value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 29,489 23,670
Liabilities measured at fair value (141) (90)
Estimated Fair Value | Derivative instruments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities measured at fair value (119) (76)
Estimated Fair Value | Other liabilities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities measured at fair value (22) (14)
Estimated Fair Value | Residential Mortgage    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 2 2
Estimated Fair Value | Fixed maturities available for sale, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 23,553 19,683
Estimated Fair Value | Fixed maturities available for sale, at fair value | Corporate bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 10,855 8,020
Estimated Fair Value | Fixed maturities available for sale, at fair value | US government and government agencies    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 5,814 5,162
Estimated Fair Value | Fixed maturities available for sale, at fair value | Asset backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 2,250 1,927
Estimated Fair Value | Fixed maturities available for sale, at fair value | Non-US government securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 2,062 2,313
Estimated Fair Value | Fixed maturities available for sale, at fair value | Commercial mortgage backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 1,213 1,047
Estimated Fair Value | Fixed maturities available for sale, at fair value | Mortgage backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 1,103 795
Estimated Fair Value | Fixed maturities available for sale, at fair value | Municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 256 419
Estimated Fair Value | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 2,063 1,332
Estimated Fair Value | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 1,186 860
Estimated Fair Value | Derivative instruments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 197 149
Estimated Fair Value | Fair value option    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 2,488 1,644
Estimated Fair Value | Fair value option | Corporate bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 662 543
Estimated Fair Value | Fair value option | US government and government agencies    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 13 5
Estimated Fair Value | Fair value option | Asset backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 2 2
Estimated Fair Value | Fair value option | Non-US government securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 6 4
Estimated Fair Value | Fair value option | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 21 33
Estimated Fair Value | Fair value option | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 7 14
Estimated Fair Value | Fair value option | Other investments fair value option    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value 316 196
Estimated Fair Value | Fair value option | Other investments at net asset value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets measured at fair value [1] $ 1,461 $ 847
[1] In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
XML 110 R94.htm IDEA: XBRL DOCUMENT v3.24.0.1
Fair Value - Rollforward of Level 3 assets and liabilities (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Other liabilities    
Level 3 liabilities rollforward    
Balance at beginning of year $ (14) $ (17)
Total gains or (losses) (realized/unrealized) - included in earnings [1] (1) 0
Total gains or (losses) (realized/unrealized) - included in other comprehensive income 0 1
Purchases, issuances, sales and settlements    
Purchases 0 0
Issuances (9) 0
Sales 0 0
Settlements 2 2
Transfers in and/or out of Level 3 0 0
Balance at end of year (22) (14)
Equity securities    
Level 3 assets rollforward    
Balance at beginning of year 4 3
Total gains or (losses) (realized/unrealized) - included in earnings [1] 0 0
Total gains or (losses) (realized/unrealized) - included in other comprehensive income 0 0
Purchases, issuances, sales and settlements    
Purchases 1 1
Issuances 0 0
Sales 0 0
Settlements 0 0
Transfers in and/or out of Level 3 0 0
Balance at end of year 5 4
Available for sale | Structured securities    
Level 3 assets rollforward    
Balance at beginning of year [2] 0 3
Total gains or (losses) (realized/unrealized) - included in earnings [1],[2] 0 (1)
Total gains or (losses) (realized/unrealized) - included in other comprehensive income [2] 0 0
Purchases, issuances, sales and settlements    
Purchases [2] 0 0
Issuances [2] 0 0
Sales [2] 0 (2)
Settlements [2] 0 0
Transfers in and/or out of Level 3 [2] 0 0
Balance at end of year [2] 0 0
Available for sale | Corporate bonds    
Level 3 assets rollforward    
Balance at beginning of year 121 0
Total gains or (losses) (realized/unrealized) - included in earnings [1] 1 0
Total gains or (losses) (realized/unrealized) - included in other comprehensive income (1) (1)
Purchases, issuances, sales and settlements    
Purchases 111 150
Issuances 0 0
Sales 0 (6)
Settlements (85) (26)
Transfers in and/or out of Level 3 0 4
Balance at end of year 147 121
Available for sale | Short-term investments    
Level 3 assets rollforward    
Balance at beginning of year 0 0
Total gains or (losses) (realized/unrealized) - included in earnings [1] 0 0
Total gains or (losses) (realized/unrealized) - included in other comprehensive income 0 0
Purchases, issuances, sales and settlements    
Purchases 84 0
Issuances 0 0
Sales 0 0
Settlements 0 0
Transfers in and/or out of Level 3 0 0
Balance at end of year 84 0
Fair value option | Other investments    
Level 3 assets rollforward    
Balance at beginning of year 33 28
Total gains or (losses) (realized/unrealized) - included in earnings [1] (5) (1)
Total gains or (losses) (realized/unrealized) - included in other comprehensive income 0 0
Purchases, issuances, sales and settlements    
Purchases 107 12
Issuances 0 0
Sales (10) (3)
Settlements (19) (3)
Transfers in and/or out of Level 3 0 0
Balance at end of year 106 33
Fair value option | Short-term investments    
Level 3 assets rollforward    
Balance at beginning of year 0 0
Total gains or (losses) (realized/unrealized) - included in earnings [1] 0 0
Total gains or (losses) (realized/unrealized) - included in other comprehensive income 0 0
Purchases, issuances, sales and settlements    
Purchases 11 0
Issuances 0 0
Sales 0 0
Settlements (1) 0
Transfers in and/or out of Level 3 0 0
Balance at end of year 10 0
Fair value option | Equity securities    
Level 3 assets rollforward    
Balance at beginning of year 4 5
Total gains or (losses) (realized/unrealized) - included in earnings [1] 0 (1)
Total gains or (losses) (realized/unrealized) - included in other comprehensive income 0 0
Purchases, issuances, sales and settlements    
Purchases 0 0
Issuances 0 0
Sales 0 0
Settlements 0 0
Transfers in and/or out of Level 3 0 0
Balance at end of year $ 4 $ 4
[1] Gains or losses were included in net realized gains (losses).
[2] Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities
XML 111 R95.htm IDEA: XBRL DOCUMENT v3.24.0.1
Fair Value - Narrative (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Senior notes $ 2,726 $ 2,725
Total assets and liabilities measured at fair value 29,600 23,800
Total assets and liabilities measured at fair value priced using non-binding broker quotes $ 14 $ 13
Total assets and liabilities measured at fair value priced using non-binding broker quotes (percentage) 0.00% 0.10%
Unsecured debt | Senior Notes    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Senior notes $ 2,700 $ 2,700
Estimated fair value of senior notes $ 2,500 $ 2,400
XML 112 R96.htm IDEA: XBRL DOCUMENT v3.24.0.1
Derivative Instruments (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Derivative offsetting [Abstract]      
Derivative assets subject to master netting agreements $ 197 $ 147  
Derivative liabilities subject to master netting agreements 119 73  
Net realized gains (losses) on derivative instruments      
Net realized gains (losses) on derivative instruments 59 (75) $ (33)
Not Designated as Hedging Instrument      
Derivative [Line Items]      
Asset derivatives - fair value 197 149  
Liability derivatives - fair value (119) (76)  
Net realized gains (losses) on derivative instruments      
Net realized gains (losses) on derivative instruments 59 (75) (33)
Not Designated as Hedging Instrument | Futures contracts      
Derivative [Line Items]      
Net derivatives - notional value [1] 3,746 3,138  
Net realized gains (losses) on derivative instruments      
Net realized gains (losses) on derivative instruments 49 (86) (16)
Not Designated as Hedging Instrument | Futures contracts | Other assets      
Derivative [Line Items]      
Asset derivatives - fair value [2] 139 51  
Not Designated as Hedging Instrument | Futures contracts | Other liabilities      
Derivative [Line Items]      
Liability derivatives - fair value [2] (61) (17)  
Not Designated as Hedging Instrument | Foreign currency forward contracts      
Derivative [Line Items]      
Net derivatives - notional value [1] 1,224 1,136  
Net realized gains (losses) on derivative instruments      
Net realized gains (losses) on derivative instruments 21 6 (40)
Not Designated as Hedging Instrument | Foreign currency forward contracts | Other assets      
Derivative [Line Items]      
Asset derivatives - fair value [2] 27 39  
Not Designated as Hedging Instrument | Foreign currency forward contracts | Other liabilities      
Derivative [Line Items]      
Liability derivatives - fair value [2] (32) (35)  
Not Designated as Hedging Instrument | Other      
Derivative [Line Items]      
Net derivatives - notional value [1],[3] 512 3,592  
Net realized gains (losses) on derivative instruments      
Net realized gains (losses) on derivative instruments (11) 5 $ 23
Not Designated as Hedging Instrument | Other | Other assets      
Derivative [Line Items]      
Asset derivatives - fair value [2],[3] 31 59  
Not Designated as Hedging Instrument | Other | Other liabilities      
Derivative [Line Items]      
Liability derivatives - fair value [2],[3] $ (26) $ (24)  
[1] Represents the absolute notional value of all outstanding contracts, consisting of long and short positions.
[2] The fair value of asset derivatives are included in ‘other assets’ and the fair value of liability derivatives are included in ‘other liabilities.’
[3] Includes swaps, options and other derivatives contracts
XML 113 R97.htm IDEA: XBRL DOCUMENT v3.24.0.1
Variable Interest Entity and Noncontrolling Interests - Variable interest entity (Details) - USD ($)
$ in Millions
1 Months Ended
Mar. 31, 2014
Jul. 01, 2021
Greysbridge Holdings Ltd    
Variable Interest Entity [Line Items]    
Percentage ownership   40.00%
Greysbridge Holdings Ltd | Kelso And Company    
Variable Interest Entity [Line Items]    
Percentage ownership   30.00%
Greysbridge Holdings Ltd | Warburg Pincus LLC    
Variable Interest Entity [Line Items]    
Percentage ownership   30.00%
Variable Interest Entity, Primary Beneficiary | Somers Holdings Ltd.    
Variable Interest Entity [Line Items]    
Initial investment contribution amount $ 100  
Variable Interest Entity, Primary Beneficiary | Common shares | Somers Holdings Ltd.    
Variable Interest Entity [Line Items]    
Number of shares acquired 2,500,000  
XML 114 R98.htm IDEA: XBRL DOCUMENT v3.24.0.1
Variable Interest Entity and Noncontrolling Interests - Cash flows of variable interest entity (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Variable Interest Entity [Line Items]      
Net Cash Provided by (Used in) Operating Activities $ 5,749 $ 3,816 $ 3,425
Net cash used for investing activities (5,468) (3,101) (2,138)
Net Cash Provided by (Used in) Financing Activities (69) (706) (1,229)
Somers Holdings Ltd. | Variable Interest Entity, Primary Beneficiary      
Variable Interest Entity [Line Items]      
Net Cash Provided by (Used in) Operating Activities 0 0 47
Net cash used for investing activities 0 0 96
Net Cash Provided by (Used in) Financing Activities $ 0 $ 0 $ (2)
XML 115 R99.htm IDEA: XBRL DOCUMENT v3.24.0.1
Variable Interest Entity and Noncontrolling Interests - Activity in redeemeable noncontrolling interest (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Variable Interest Entity and Noncontrolling Interest Disclosure [Abstract]      
Balance, beginning of year $ 11 $ 9 $ 58
Impact of deconsolidation of Somers 0 0 (49)
Other (9) 2 0
Balance, end of year $ 2 $ 11 $ 9
XML 116 R100.htm IDEA: XBRL DOCUMENT v3.24.0.1
Variable Interest Entity and Noncontrolling Interests - Income or loss attributable to third party investors (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Noncontrolling Interest [Line Items]      
Amounts attributable to non-redeemable noncontrolling interests $ 0 $ 0 $ (78)
Amounts attributable to redeemable noncontrolling interests 1 (6) (4)
Net (income) loss attributable to noncontrolling interests $ 1 $ (6) $ (82)
XML 117 R101.htm IDEA: XBRL DOCUMENT v3.24.0.1
Variable Interest Entity and Noncontrolling Interests - Other variable interest entity disclosures (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Variable Interest Entity [Line Items]      
Total VIE Assets $ 58,906 $ 47,990 $ 45,101
Variable Interest Entity, Not Primary Beneficiary      
Variable Interest Entity [Line Items]      
Total VIE Assets 1,242 3,595  
Remaining Coverage, Amount 311    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2017-1 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 0 37  
Remaining Coverage, Amount [1] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2018-1 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 0 [2] 90  
Remaining Coverage, Amount [1],[2] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2018-3 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 0 199  
Remaining Coverage, Amount [1] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-1 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 71 108  
Remaining Coverage, Amount [1] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-2 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 0 [2] 325  
Remaining Coverage, Amount [1],[2] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-3 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 99 223  
Remaining Coverage, Amount [1] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2019-4 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 0 [2] 266  
Remaining Coverage, Amount [1],[2] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-2 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 0 [2] 105  
Remaining Coverage, Amount [1],[2] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-3 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 0 [2] 244  
Remaining Coverage, Amount [1],[2] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2020-4 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 0 [2] 98  
Remaining Coverage, Amount [1],[2] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-1 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 0 [2] 467  
Remaining Coverage, Amount [1],[2] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-2 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 0 [2] 458  
Remaining Coverage, Amount [1],[2] 0    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2021-3 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 429 490  
Remaining Coverage, Amount [1] 112    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2022-1 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 256 284  
Remaining Coverage, Amount [1] 26    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2022-2 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 201 $ 201  
Remaining Coverage, Amount [1] 126    
Variable Interest Entity, Not Primary Beneficiary | Bellemeade 2023-1 Ltd      
Variable Interest Entity [Line Items]      
Total VIE Assets 186    
Remaining Coverage, Amount [1] $ 47    
[1] Coverage from a separate panel of reinsurers remaining at December 31, 2023
[2] Agreements terminated in the 2023 fourth quarter
XML 118 R102.htm IDEA: XBRL DOCUMENT v3.24.0.1
Other Comprehensive Income - Components of accumulated other comprehensive income (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance $ (1,646) $ (65) $ 489
Other comprehensive income (loss) before reclassifications 570 (1,828) (437)
Amounts reclassified from accumulated other comprehensive income 400 247 (117)
Net current period other comprehensive income (loss) 970 (1,581) (554)
Ending balance (676) (1,646) (65)
Unrealized Appreciation on Available-For-Sale Investments      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance (1,512) 13 501
Other comprehensive income (loss) before reclassifications 547 (1,772) (371)
Amounts reclassified from accumulated other comprehensive income 400 247 (117)
Net current period other comprehensive income (loss) 947 (1,525) (488)
Ending balance (565) (1,512) 13
Foreign Currency Translation Adjustments      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance (134) (78) (12)
Other comprehensive income (loss) before reclassifications 23 (56) (66)
Amounts reclassified from accumulated other comprehensive income 0 0 0
Net current period other comprehensive income (loss) 23 (56) (66)
Ending balance $ (111) $ (134) $ (78)
XML 119 R103.htm IDEA: XBRL DOCUMENT v3.24.0.1
Other Comprehensive Income - Amounts reclassified from accumulated other comprehensive income (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Reclassification out of Accumulated Other Comprehensive Income [Line Items]      
Provision for credit losses $ 3 $ (44) $ (1)
Income (loss) before income taxes 3,570 1,562 2,368
Income tax (expense) benefit 873 (80) (128)
Net of tax 4,443 1,476 2,157
Reclassification out of accumulated other comprehensive income | Unrealized Appreciation on Available-For-Sale Investments      
Reclassification out of Accumulated Other Comprehensive Income [Line Items]      
Net realized gains (losses) (431) (235) 157
Provision for credit losses 3 (44) (2)
Income (loss) before income taxes (428) (279) 155
Income tax (expense) benefit 28 32 (38)
Net of tax $ (400) $ (247) $ 117
XML 120 R104.htm IDEA: XBRL DOCUMENT v3.24.0.1
Other Comprehensive Income - Tax effects on components of other comprehensive income (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Before tax amount:      
Unrealized holding gains (losses) arising during period, before tax $ 617 $ (2,009) $ (408)
Less reclassification of net realized gains (losses) included in net income, before tax (428) (279) 155
Foreign currency translation adjustments, before tax 23 (56) (65)
Other comprehensive income (loss), before tax 1,068 (1,786) (628)
Tax expense (benefit):      
Unrealized holding gains (losses) arising during period, tax 70 (237) (22)
Less reclassification of net realized gains (losses) included in net income, tax (28) (32) 38
Foreign currency translation adjustments, tax 0 0 0
Other comprehensive income (loss), tax 98 (205) (60)
Net of tax amount:      
Unrealized holding gains (losses) arising during period, net of tax 547 (1,772) (386)
Less reclassification of net realized gains (losses) included in net income, net of tax (400) (247) 117
Foreign currency translation adjustments, net of tax 23 (56) (65)
Net current period other comprehensive income (loss) $ 970 $ (1,581) $ (568)
XML 121 R105.htm IDEA: XBRL DOCUMENT v3.24.0.1
Earnings Per Common Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Numerator:      
Net income $ 4,442 $ 1,482 $ 2,239
Net (income) loss attributable to noncontrolling interests 1 (6) (82)
Net income available to Arch 4,443 1,476 2,157
Preferred share dividends (40) (40) (48)
Loss on redemption of preferred shares 0 0 (15)
Net income available to Arch common shareholders $ 4,403 $ 1,436 $ 2,094
Denominator:      
Weighted average common shares outstanding 368.7 368.6 391.7
Effect of dilutive common share equivalents:      
Nonvested restricted shares 2.5 2.1 2.0
Stock options [1] 7.6 6.9 6.6
Weighted average common shares and common share equivalents outstanding — diluted 378.8 377.6 400.3
Earnings per common share:      
Basic (per share) $ 11.94 $ 3.90 $ 5.35
Diluted (per share) $ 11.62 $ 3.80 $ 5.23
Stock Options      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per common share (shares) 0.5 0.8 2.4
[1] Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For 2023, 2022 and 2021, the number of stock options excluded were 0.5 million, 0.8 million and 2.4 million, respectively.
XML 122 R106.htm IDEA: XBRL DOCUMENT v3.24.0.1
Income Taxes - Components of income tax (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Current expense (benefit):      
United States $ 251 $ 195 $ 284
Non-U.S. 37 6 11
Current Income Tax Expense (Benefit) 288 201 295
Deferred expense (benefit):      
United States (20) (96) (123)
Non-U.S. (1,141) (25) (44)
Deferred Income Tax Expense (Benefit) (1,161) (121) (167)
Income tax expense (benefit) $ (873) $ 80 $ 128
XML 123 R107.htm IDEA: XBRL DOCUMENT v3.24.0.1
Income Taxes - Income before taxes by jurisdiction (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Income Tax Disclosure [Line Items]      
Income (loss) before income taxes $ 3,570 $ 1,562 $ 2,368
Bermuda      
Income Tax Disclosure [Line Items]      
Income (loss) before income taxes 2,099 986 1,519
United States      
Income Tax Disclosure [Line Items]      
Income (loss) before income taxes 1,239 401 643
Other      
Income Tax Disclosure [Line Items]      
Income (loss) before income taxes $ 232 $ 175 $ 206
XML 124 R108.htm IDEA: XBRL DOCUMENT v3.24.0.1
Income Taxes - Statutory tax rate by jurisdiction (Details)
12 Months Ended
Dec. 31, 2023
Bermuda  
Income Tax Disclosure [Line Items]  
Statutory tax rate (percentage) 0.00%
United States  
Income Tax Disclosure [Line Items]  
Statutory tax rate (percentage) 21.00%
United Kingdom  
Income Tax Disclosure [Line Items]  
Statutory tax rate (percentage) 25.00%
Ireland  
Income Tax Disclosure [Line Items]  
Statutory tax rate (percentage) 12.50%
Denmark  
Income Tax Disclosure [Line Items]  
Statutory tax rate (percentage) 22.00%
Canada  
Income Tax Disclosure [Line Items]  
Statutory tax rate (percentage) 26.50%
Gibraltar  
Income Tax Disclosure [Line Items]  
Statutory tax rate (percentage) 12.50%
Australia  
Income Tax Disclosure [Line Items]  
Statutory tax rate (percentage) 30.00%
Hong Kong  
Income Tax Disclosure [Line Items]  
Statutory tax rate (percentage) 16.50%
Netherlands  
Income Tax Disclosure [Line Items]  
Statutory tax rate (percentage) 25.80%
XML 125 R109.htm IDEA: XBRL DOCUMENT v3.24.0.1
Income Taxes - Reconciliation of effective tax rate (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Income Tax Disclosure [Abstract]      
Expected income tax expense (benefit) computed on pre-tax income at weighted average income tax rate $ 300 $ 110 $ 158
Addition (reduction) in income tax expense (benefit) resulting from:      
Investment income (14) (13) (24)
State taxes, net of U.S. federal tax benefit 6 11 21
Dividend withholding taxes 9 11 12
Change in valuation allowance 4 (23) (40)
Base eroding tax 9 8 0
Share based compensation (13) (9) (5)
Tax credits (3) (10) 0
Change in tax rate (1,179) (5) 0
Other 8 0 6
Income tax expense (benefit) $ (873) $ 80 $ 128
XML 126 R110.htm IDEA: XBRL DOCUMENT v3.24.0.1
Income Taxes - Components of deferred tax assets and liabilities (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Deferred income tax assets:    
Net operating loss $ 93 $ 77
Discounting of net loss reserves 219 78
Net unearned premium reserve 133 97
Compensation liabilities 64 55
Foreign tax credit carryforward 16 17
Goodwill and intangible assets 1,020 0
Bad debt reserves 16 17
Depreciation and amortization 133 141
Lease liability 31 27
Net unrealized decline of investments 89 193
Lloyds year of account deferral 0 1
Fair value adjustment to senior notes 41 0
Other, net 13 11
Deferred income tax assets before valuation allowance 1,868 714
Valuation allowance (15) (7)
Deferred income tax assets net of valuation allowance 1,853 707
Deferred income tax liabilities:    
Goodwill and intangibles 0 (39)
Lloyds year of account deferral (13) 0
Contingency reserve (50) (44)
Deferred policy acquisition costs (144) (64)
Investment related (13) (9)
Right-of-use asset (24) (21)
Total deferred income tax liabilities (245) (177)
Net deferred income tax assets $ 1,608 $ 530
XML 127 R111.htm IDEA: XBRL DOCUMENT v3.24.0.1
Income Taxes - Operating loss carryfowards and tax credits (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Operating Loss Carryforwards [Line Items]    
Foreign tax credit carryforward $ 16.0 $ 17.0
United Kingdom    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforwards 198.0  
Foreign tax credit carryforward 10.0  
Ireland    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforwards 24.0  
Australia    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforwards 47.0  
Hong Kong    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforwards 32.0  
Gibraltar    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforwards 24.0  
Cyprus    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforwards 1.0  
United States    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforwards 78.0  
Foreign tax credit carryforward 6.0  
United States | Tax Years 2024 To 2027    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforward, annual utilization limit 2.0  
United States | Tax Years 2028 To 2038    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforward, annual utilization limit 1.0  
United States | Tax Years After 2038    
Operating Loss Carryforwards [Line Items]    
Operating loss carryforward, annual utilization limit $ 0.3  
XML 128 R112.htm IDEA: XBRL DOCUMENT v3.24.0.1
Income Taxes - Unrecognized tax benefits (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Reconciliation of beginning and ending amount of unrecognized tax benefits    
Balance at beginning of year $ 2 $ 2
Additions based on tax positions related to the current year 0 0
Additions for tax positions of prior years 0 0
Reductions for tax positions of prior years 0 0
Settlements 0 0
Balance at end of year $ 2 $ 2
XML 129 R113.htm IDEA: XBRL DOCUMENT v3.24.0.1
Income Taxes - Summary of open tax years by major jurisdiction (Details)
12 Months Ended
Dec. 31, 2023
Latest Tax Year | United States  
Income Tax Contingency [Line Items]  
Open tax year 2023
Latest Tax Year | United Kingdom  
Income Tax Contingency [Line Items]  
Open tax year 2023
Latest Tax Year | Ireland  
Income Tax Contingency [Line Items]  
Open tax year 2023
Latest Tax Year | Canada  
Income Tax Contingency [Line Items]  
Open tax year 2023
Latest Tax Year | Switzerland  
Income Tax Contingency [Line Items]  
Open tax year 2023
Latest Tax Year | Denmark  
Income Tax Contingency [Line Items]  
Open tax year 2023
Latest Tax Year | Australia  
Income Tax Contingency [Line Items]  
Open tax year 2023
Earliest Tax Year | United States  
Income Tax Contingency [Line Items]  
Open tax year 2019
Earliest Tax Year | United Kingdom  
Income Tax Contingency [Line Items]  
Open tax year 2021
Earliest Tax Year | Ireland  
Income Tax Contingency [Line Items]  
Open tax year 2018
Earliest Tax Year | Canada  
Income Tax Contingency [Line Items]  
Open tax year 2019
Earliest Tax Year | Switzerland  
Income Tax Contingency [Line Items]  
Open tax year 2019
Earliest Tax Year | Denmark  
Income Tax Contingency [Line Items]  
Open tax year 2019
Earliest Tax Year | Australia  
Income Tax Contingency [Line Items]  
Open tax year 2019
XML 130 R114.htm IDEA: XBRL DOCUMENT v3.24.0.1
Income Taxes - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2023
Dec. 31, 2023
Dec. 31, 2022
Operating Loss Carryforwards [Line Items]      
Net deferred tax assets $ 1,853 $ 1,853 $ 707
Bermuda      
Operating Loss Carryforwards [Line Items]      
Deferred tax asset, economic transition adjustment 1,180    
Utilization period of deferred tax assets   10 years  
Other assets | T&L Bonds      
Operating Loss Carryforwards [Line Items]      
US mortgage guaranty tax and loss bonds 42 $ 42 $ 12
Other liabilities      
Operating Loss Carryforwards [Line Items]      
Current income taxes payable $ 20 $ 20  
XML 131 R115.htm IDEA: XBRL DOCUMENT v3.24.0.1
Transactions with Related Parties (Details)
12 Months Ended
Dec. 31, 2023
USD ($)
director
Dec. 31, 2022
USD ($)
Dec. 31, 2021
USD ($)
Dec. 31, 2017
USD ($)
Jan. 01, 2024
Jul. 01, 2021
Jan. 01, 2021
USD ($)
Dec. 31, 2020
USD ($)
Related Party Transaction [Line Items]                
Purchases of other investments $ 2,171,000,000 $ 1,720,000,000 $ 1,859,000,000          
Net reserves 16,062,000,000 13,752,000,000 12,158,000,000         $ 12,199,000,000
Reinsurance recoverable for paid and unpaid claims and claims adjustments 7,064,000,000 6,564,000,000 5,881,000,000          
Ceded premiums written 4,935,000,000 4,249,000,000 3,735,000,000          
Reinsurance balances payable 2,000,000,000 1,530,000,000            
Net premiums written 13,468,000,000 11,078,000,000 9,017,000,000          
Net premiums earned $ 12,440,000,000 9,679,000,000 $ 8,082,000,000          
Forecast                
Related Party Transaction [Line Items]                
Put Call Right To Sell Purchase Shares         33.30%      
Premia Holdings Ltd                
Related Party Transaction [Line Items]                
Number of directors | director 7              
Greysbridge Holdings Ltd                
Related Party Transaction [Line Items]                
Percentage ownership           40.00%    
Kelso And Company | Greysbridge Holdings Ltd                
Related Party Transaction [Line Items]                
Percentage ownership           30.00%    
Warburg Pincus LLC | Greysbridge Holdings Ltd                
Related Party Transaction [Line Items]                
Percentage ownership           30.00%    
Equity Method Investee | Premia Holdings Ltd                
Related Party Transaction [Line Items]                
Percentage ownership       25.00%        
Purchases of other investments       $ 100,000,000        
Number of directors | director 2              
Net reserves             $ 380,000,000  
Reinsurance recoverable for paid and unpaid claims and claims adjustments $ 0 0            
Funds held liability 0 0            
Net premiums written 80,000,000 121,000,000            
Net premiums earned 81,000,000 120,000,000            
Funds Held under Reinsurance Agreements, Asset 158,000,000 119,000,000            
Equity Method Investee | Somers Holdings Ltd.                
Related Party Transaction [Line Items]                
Reinsurance recoverable for paid and unpaid claims and claims adjustments 1,300,000,000 1,200,000,000            
Reinsurance balances payable 475,000,000 414,000,000            
Senior notes $ 35,000,000              
Preferred shares, dividend rate (as a percent) 6.50%              
Net premiums written $ 574,000,000 $ 519,000,000            
XML 132 R116.htm IDEA: XBRL DOCUMENT v3.24.0.1
Leases - Additional information regarding leases (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Lessee, Lease, Description [Line Items]      
Operating lease costs $ 33 $ 34  
Sublease Income [1] (2) (1)  
Cash payments included in the measurement of lease liabilities reported in operating cash flows 31 26  
Right-of-use assets obtained in exchange for new lease liabilities 28 43  
Right-of-use assets [2] 125 123  
Operating lease liability [2] $ 156 $ 152  
Weighted average discount rate 4.70% 4.20%  
Weighted average remaining lease term 7 years 2 months 12 days 6 years 7 months 6 days  
Balance sheet location of right of use asset Other assets Other assets  
Balance sheet location of operating lease liability Other liabilities Other liabilities  
Rental expense $ 38 $ 39 $ 37
Maximum      
Lessee, Lease, Description [Line Items]      
Operating lease term 14 years    
[1] The sublease income primarily relates to office property in Raleigh, North Carolina.
[2] The right-of-use assets are included in ‘other assets’ while the operating lease liability is included in ‘other liabilities.’
XML 133 R117.htm IDEA: XBRL DOCUMENT v3.24.0.1
Leases - Contractual maturities (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Contractual maturities of operating lease liabilities    
2024 $ 32  
2025 27  
2026 26  
2027 22  
2028 19  
2029 and thereafter 60  
Total undiscounted lease liability 186  
Less: present value adjustment (30)  
Operating lease liability [1] $ 156 $ 152
[1] The right-of-use assets are included in ‘other assets’ while the operating lease liability is included in ‘other liabilities.’
XML 134 R118.htm IDEA: XBRL DOCUMENT v3.24.0.1
Commitments and Contingencies - Concentrations of credit risk (Details)
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Customer concentration risk | Gross written premiums      
Concentration Risk [Line Items]      
Concentration risk, threshold 10.00%    
Customer concentration risk | Gross written premiums | Marsh & McLennan Companies and its subsidiaries      
Concentration Risk [Line Items]      
Concentration risk percentage 19.00% 17.30% 18.30%
Customer concentration risk | Gross written premiums | AON Corporation and its subsidiaries      
Concentration Risk [Line Items]      
Concentration risk percentage 13.90% 13.80% 12.20%
Credit concentration risk | Shareholders' equity      
Concentration Risk [Line Items]      
Concentration risk, threshold 10.00%    
XML 135 R119.htm IDEA: XBRL DOCUMENT v3.24.0.1
Commitments and Contingencies - Other commitments (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Commitments and Contingencies Disclosure [Abstract]    
Investment commitments $ 3,600 $ 2,900
Estimated purchase commitments, primarily related to software and computerized systems $ 148 $ 150
XML 136 R120.htm IDEA: XBRL DOCUMENT v3.24.0.1
Debt and Financing Arrangements - Schedule of senior notes outstanding (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Debt Instrument [Line Items]    
Carrying amount $ 2,726 $ 2,725
Senior Notes    
Debt Instrument [Line Items]    
Principal amount 2,750  
Carrying amount $ 2,726 2,725
Senior Notes | 7.350% senior notes due 2034    
Debt Instrument [Line Items]    
Stated interest rate (percentage) [1] 7.35%  
Principal amount [1] $ 300  
Carrying amount $ 298 298
Senior Notes | 5.144% senior notes due 2043    
Debt Instrument [Line Items]    
Stated interest rate (percentage) [2] 5.144%  
Principal amount [2] $ 500  
Carrying amount $ 495 495
Senior Notes | 4.011% senior notes due 2026    
Debt Instrument [Line Items]    
Stated interest rate (percentage) [3] 4.011%  
Principal amount [3] $ 500  
Carrying amount $ 498 498
Senior Notes | 5.031% senior notes due 2046    
Debt Instrument [Line Items]    
Stated interest rate (percentage) [4] 5.031%  
Principal amount [4] $ 450  
Carrying amount $ 446 445
Senior Notes | 3.635% senior notes due 2050    
Debt Instrument [Line Items]    
Stated interest rate (percentage) [5] 3.635%  
Principal amount [5] $ 1,000  
Carrying amount $ 989 $ 989
[1] Senior notes of Arch Capital issued on May 4, 2004 and due May 1, 2034 (“2034 notes”).
[2] Senior notes of Arch-U.S., a wholly-owned subsidiary of Arch Capital, issued on December 13, 2013 and due November 1, 2043 (“2043 notes”), fully and unconditionally guaranteed by Arch Capital.
[3] Senior notes of Arch Capital Finance LLC (“Arch Finance”), a wholly-owned finance subsidiary of Arch Capital, issued on December 8, 2016 and due December 15, 2026 (“2026 notes”), fully and unconditionally guaranteed by Arch Capital.
[4] Senior notes of Arch Finance issued on December 8, 2016 and due December 15, 2046 (“2046 notes”), fully and unconditionally guaranteed by Arch Capital
[5] Senior notes of Arch Capital issued on June 30, 2020 and due June 30, 2050 (“2050 notes”).
XML 137 R121.htm IDEA: XBRL DOCUMENT v3.24.0.1
Debt and Financing Arrangements - Letter of Credit and Revolving Credit Facilities (Details) - USD ($)
Dec. 31, 2023
Oct. 25, 2023
Sep. 27, 2023
Dec. 31, 2022
Line of Credit Facility [Line Items]        
Advances from Federal Home Loan Banks $ 0     $ 0
Credit Facility        
Line of Credit Facility [Line Items]        
Optional increased capacity 1,500,000,000      
Credit Facility | Asset Pledged as Collateral | Letter of Credit        
Line of Credit Facility [Line Items]        
Investments securing LOCs 550,000,000      
Secured letter of credit facility        
Line of Credit Facility [Line Items]        
Maximum borrowing capacity 425,000,000      
Outstanding borrowings 273,000,000      
Remaining capacity 152,000,000      
Unsecured revolving loan and letter of credit facility        
Line of Credit Facility [Line Items]        
Maximum borrowing capacity 500,000,000      
Outstanding borrowings 0     $ 0
Remaining capacity 500,000,000      
Other Arch Capital Subsidiaries | Secured letter of credit facility        
Line of Credit Facility [Line Items]        
Outstanding borrowings 38,000,000      
Arch Re Bermuda | Credit Facility        
Line of Credit Facility [Line Items]        
Maximum borrowing capacity     $ 175,000,000  
Outstanding borrowings 114,000,000      
Remaining capacity 61,000,000      
Letters of credit outstanding, amount $ 530,000,000      
Arch Re Bermuda | Lloyds Facility        
Line of Credit Facility [Line Items]        
Maximum borrowing capacity   $ 530,000,000    
XML 138 R122.htm IDEA: XBRL DOCUMENT v3.24.0.1
Goodwill and Intangible Assets - Analysis of goodwill and intangible assets (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Goodwill      
Goodwill, beginning of year $ 342 $ 345  
Goodwill, acquisitions 0 8  
Goodwill, impairment (2)    
Goodwill, foreign currency translation adjustment 5 (11)  
Goodwill, end of year 345 342 $ 345
Intangible assets (indefinite life)      
Intangible assets with an indefinite life, beginning of year 69 71  
Intangible assets with an indefinite life, acquisitions 0 0  
Impairment of Intangible Assets, Indefinite-Lived (Excluding Goodwill) 0    
Intangible assets with an indefinite life, foreign currency translation adjustment 1 (2)  
Intangible assets with an indefinite life, end of year 70 69 71
Intangible assets (finite life)      
Intangible assets with a finite life, beginning of year 393 529  
Intangible assets with a finite life, acquisitions 11 0  
Intangible assets with a finite life, amortization (95) (106) (82)
Intangible assets with a finite life, impairment 0    
Intangible assets with a finite life, foreign currency translation adjustment 7 (30)  
Intangible assets with a finite life, end of year 316 393 529
Total      
Goodwill and intangible assets, beginning of year 804 945  
Goodwill and intangible assets, acquisitions 11 8  
Goodwill and intangible assets impairment (2)    
Goodwill and intangible assets, foreign currency movements and other adjustments 13 (43)  
Goodwill and intangible assets, end of year 731 804 945
Goodwill and intangible assets, gross balance 1,523    
Intangible assets with a finite life, accumulated amortization (766) (677)  
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments (26) (42)  
Goodwill and intangible assets 731 804 $ 945
Goodwill      
Goodwill      
Goodwill, end of year 345    
Total      
Goodwill and intangible assets, beginning of year 342    
Goodwill and intangible assets, end of year 345 342  
Goodwill, gross balance 348    
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments (3) (9)  
Goodwill and intangible assets 345 $ 342  
Intangible assets with an indefinite life      
Intangible assets (indefinite life)      
Intangible assets with an indefinite life, end of year 70    
Total      
Indefinite-lived intangible assets, gross balance 70    
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments 0    
Intangible assets with a finite life      
Intangible assets (finite life)      
Intangible assets with a finite life, end of year 316    
Total      
Intangible assets with a finite life, gross balance 1,105    
Intangible assets with a finite life, accumulated amortization (766)    
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments $ (23)    
XML 139 R123.htm IDEA: XBRL DOCUMENT v3.24.0.1
Goodwill and Intangible Assets - Summary of intangible assets by major class (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Schedule of Goodwill And Intangible Assets [Line Items]      
Gross balance $ 1,523 $ 1,523  
Intangible assets with a finite life, accumulated amortization (766) (677)  
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments (26) (42)  
Goodwill and intangible assets 731 804 $ 945
Intangible liability - unfavorable service contract      
Schedule of Goodwill And Intangible Assets [Line Items]      
Gross balance (10) (10)  
Intangible assets with a finite life, accumulated amortization 10 10  
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments 0 0  
Goodwill and intangible assets 0 0  
Intangible assets with a finite life      
Schedule of Goodwill And Intangible Assets [Line Items]      
Intangible assets with a finite life, accumulated amortization (766)    
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments (23)    
Intangible assets with a finite life | Acquired insurance contracts      
Schedule of Goodwill And Intangible Assets [Line Items]      
Gross balance 452 452  
Intangible assets with a finite life, accumulated amortization (441) (426)  
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments 0 (1)  
Goodwill and intangible assets 11 25  
Intangible assets with a finite life | Operating platform      
Schedule of Goodwill And Intangible Assets [Line Items]      
Gross balance 64 53  
Intangible assets with a finite life, accumulated amortization (54) (50)  
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments 0 0  
Goodwill and intangible assets 10 3  
Intangible assets with a finite life | Distribution relationships      
Schedule of Goodwill And Intangible Assets [Line Items]      
Gross balance 594 602  
Intangible assets with a finite life, accumulated amortization (277) (208)  
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments (23) (31)  
Goodwill and intangible assets 294 363  
Intangible assets with a finite life | Other      
Schedule of Goodwill And Intangible Assets [Line Items]      
Gross balance 5 5  
Intangible assets with a finite life, accumulated amortization (4) (3)  
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments 0 0  
Goodwill and intangible assets 1 2  
Goodwill      
Schedule of Goodwill And Intangible Assets [Line Items]      
Gross balance 348 351  
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments (3) (9)  
Goodwill and intangible assets 345 342  
Intangible assets with an indefinite life      
Schedule of Goodwill And Intangible Assets [Line Items]      
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments 0    
Intangible assets with an indefinite life | Insurance licenses      
Schedule of Goodwill And Intangible Assets [Line Items]      
Gross balance 48 48  
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments 0 0  
Goodwill and intangible assets 48 48  
Intangible assets with an indefinite life | Syndicate capacity      
Schedule of Goodwill And Intangible Assets [Line Items]      
Gross balance 22 22  
Goodwill and intangible assets, accumulated foreign currency translation and other adjustments 0 (1)  
Goodwill and intangible assets $ 22 $ 21  
XML 140 R124.htm IDEA: XBRL DOCUMENT v3.24.0.1
Goodwill and Intangible Assets - Future amortization expense (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Goodwill and Intangible Assets Disclosure [Abstract]      
2024 $ 77    
2025 46    
2026 34    
2027 31    
2028 29    
2029 and thereafter 99    
Finite-Lived Intangible Assets, Net $ 316 $ 393 $ 529
XML 141 R125.htm IDEA: XBRL DOCUMENT v3.24.0.1
Goodwill and Intangible Assets - Narrative (Details)
Dec. 31, 2023
Minimum  
Finite-Lived Intangible Assets [Line Items]  
Remaining useful lives of intangible assets 1 year
Maximum  
Finite-Lived Intangible Assets [Line Items]  
Remaining useful lives of intangible assets 13 years
XML 142 R126.htm IDEA: XBRL DOCUMENT v3.24.0.1
Shareholders' Equity - Roll-forward of changes in issued and outstanding common shares (Details) - $ / shares
shares in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Common Shares:      
Shares issued, beginning of year 588.3 583.3 579.0
Shares issued [1] 2.8 3.5 2.7
Restricted shares issued, net of cancellations 0.8 1.5 1.6
Shares issued, end of year 591.9 588.3 583.3
Common shares held in treasury, end of year (218.5) (217.9) (204.4)
Common shares outstanding, end of year 373.4 370.4 378.9
Authorized and Issued:      
Common shares authorized 1,800.0    
Common shares, par value per share $ 0.0011 $ 0.0011  
Preferred shares authorized 50.0    
Preferred shares, par value per share $ 0.01    
[1] Includes shares issued from the exercise of stock options and stock appreciation rights, the vesting of restricted share units and shares issued from the employee share purchase plan.
XML 143 R127.htm IDEA: XBRL DOCUMENT v3.24.0.1
Shareholders' Equity - Share repurchase program (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Class of Stock [Line Items]      
Aggregate cost of shares repurchased $ 0 $ 586 $ 1,234
Number of shares repurchased (shares) 0.0 12.9 31.5
Average price per share repurchased $ 0 $ 45.44 $ 39.20
Common shares held in treasury (shares) 218.5 217.9 204.4
Common shares held in treasury, at cost $ 4,424 $ 4,378  
Common shares      
Class of Stock [Line Items]      
Remaining share repurchase authorization $ 1,000    
Cumulative number of shares acquired since inception of share repurchase program 433.6    
Aggregate purchase price of shares acquired since inception of share repurchase program $ 5,900    
XML 144 R128.htm IDEA: XBRL DOCUMENT v3.24.0.1
Shareholders' Equity - Preferred shares (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
1 Months Ended 4 Months Ended
Jan. 01, 2018
Sep. 30, 2021
Jun. 30, 2021
Nov. 30, 2017
Aug. 31, 2017
Nov. 30, 2017
Dec. 31, 2023
Sep. 30, 2022
Class of Stock [Line Items]                
Preferred shares, par value per share             $ 0.01  
Series C Preferred Shares                
Class of Stock [Line Items]                
Preferred shares, dividend rate (as a percent) 6.75%              
Series E preferred shares                
Class of Stock [Line Items]                
Preferred shares, dividend rate (as a percent)   5.25%            
Preferred shares, redemption price per share               $ 25
Series F Preferred Shares                
Class of Stock [Line Items]                
Preferred shares issued       $ 100 $ 230 $ 330    
Preferred shares, dividend rate (as a percent)           5.45%    
Preferred shares, par value per share       $ 0.01   $ 0.01    
Liquidation preference per share       25,000   25,000    
Preferred shares, redemption price per share       $ 25,000   $ 25,000    
Series F depositary share equivalent                
Class of Stock [Line Items]                
Preference shares, number of shares issued       13.2   13.2    
Proportionate interest of preference shares, per depositary share       0.10%   0.10%    
Liquidation preference per share       $ 25   $ 25    
Preferred shares, redemption price per share       $ 25   $ 25    
Series G Preferred Stock                
Class of Stock [Line Items]                
Preferred shares issued     $ 500          
Preferred shares, dividend rate (as a percent)     4.55%          
Preferred shares, par value per share     $ 0.01          
Liquidation preference per share     25,000          
Preferred shares, redemption price per share     $ 25,000          
Series G depositary share equivalent                
Class of Stock [Line Items]                
Preference shares, number of shares issued     20.0          
Proportionate interest of preference shares, per depositary share     0.10%          
Liquidation preference per share     $ 25          
Preferred shares, redemption price per share     $ 25          
XML 145 R129.htm IDEA: XBRL DOCUMENT v3.24.0.1
Share-Based Compensation - Long Term Incentive Plan (Details) - shares
shares in Millions
12 Months Ended
May 04, 2023
Dec. 31, 2023
May 04, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period   3 years  
Stock Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period   3 years  
2022 Long Term Incentive and Share Award Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares reserved for issuance     9.0
Number of shares authorized for incentive stock options     6.0
Shares available for issuance   7.8  
2018 Long Term Incentive and Share Award Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares reserved for issuance   34.5  
Shares available for issuance   5.8  
2007 Employee Share Purchase Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares reserved for issuance 12.8    
Number of additional shares authorized 3.0    
Shares available for issuance   3.6  
XML 146 R130.htm IDEA: XBRL DOCUMENT v3.24.0.1
Share-Based Compensation - Valuation assumptions (Details)
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Share-Based Payment Arrangement [Abstract]      
Dividend yield 0.00% 0.00% 0.00%
Expected volatility 25.10% 24.00% 24.20%
Risk free interest rate 4.10% 2.00% 1.00%
Expected option life 6 years 6 years 6 years
XML 147 R131.htm IDEA: XBRL DOCUMENT v3.24.0.1
Share-Based Compensation - Stock option activity (Details) - Stock Options
$ / shares in Units, $ in Millions
12 Months Ended
Dec. 31, 2023
USD ($)
$ / shares
shares
Number of Options / SARs  
Outstanding, beginning of year (in shares) | shares 14,420,901
Granted (in shares) | shares 479,760
Exercised (in shares) | shares (2,355,729)
Forfeited or expired (in shares) | shares (8,339)
Outstanding, end of year (in shares) | shares 12,536,593
Exercisable, end of year (in shares) | shares 11,205,102
Weighted Average Exercise Price  
Outstanding, beginning of year, weighted average exercise price | $ / shares $ 28.17
Granted, weighted average exercise price | $ / shares 69.24
Exercised, weighted average exercise price | $ / shares 20.66
Forfeited or expired, weighted average exercise price | $ / shares 48.38
Outstanding, end of year, weighted average exercise price | $ / shares 31.14
Exercisable, end of year, weighted average exercise price | $ / shares $ 28.68
Weighted average contractual term, outstanding, end of year 4 years 1 month 6 days
Weighted average contractual term, exercisable, end of year 3 years 7 months 9 days
Aggregate intrinsic value, outstanding, end of year | $ $ 541
Aggregate intrinsic value, exercisable, end of year | $ $ 511
XML 148 R132.htm IDEA: XBRL DOCUMENT v3.24.0.1
Share-Based Compensation - Options additional information (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Options and SARs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Proceeds from stock options exercised $ 20    
Tax benefit from exercise of stock options and SARs $ 9    
Weighted average grant date fair value $ 23.50 $ 13.26 $ 9.22
Aggregate intrinsic value of options exercised $ 116 $ 113 $ 47
XML 149 R133.htm IDEA: XBRL DOCUMENT v3.24.0.1
Share-Based Compensation - Restricted common shares and restricted stock units activity (Details)
12 Months Ended
Dec. 31, 2023
$ / shares
shares
Number of Restricted Common Shares  
Unvested Shares:  
Unvested balance, beginning of year (in shares) | shares 2,165,554
Number of restricted shares and restricted unit awards granted | shares 678,657
Vested (in shares) | shares (1,281,449)
Forfeited (in shares) | shares (38,157)
Unvested balance, end of year (in shares) | shares 1,524,605
Weighted Average Grant Date Fair Value:  
Unvested balance, beginning of year, weighted average grant date fair value | $ / shares $ 40.23
Weighted average grant date fair value | $ / shares 69.47
Vested, weighted average grant date fair value | $ / shares 38.37
Forfeited, weighted average grant date fair value | $ / shares 49.65
Unvested balance, end of year, weighted average grant date fair value | $ / shares $ 54.57
Number of Restricted Unit Awards  
Unvested Shares:  
Unvested balance, beginning of year (in shares) | shares 517,293
Number of restricted shares and restricted unit awards granted | shares 146,534
Vested (in shares) | shares (352,190)
Forfeited (in shares) | shares (5,709)
Unvested balance, end of year (in shares) | shares 305,928
Weighted Average Grant Date Fair Value:  
Unvested balance, beginning of year, weighted average grant date fair value | $ / shares $ 37.17
Weighted average grant date fair value | $ / shares 69.20
Vested, weighted average grant date fair value | $ / shares 34.16
Forfeited, weighted average grant date fair value | $ / shares 55.55
Unvested balance, end of year, weighted average grant date fair value | $ / shares $ 55.63
XML 150 R134.htm IDEA: XBRL DOCUMENT v3.24.0.1
Share-Based Compensation - Restricted stock additional information (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Restricted Common Shares And Restricted Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Number of restricted shares and restricted unit awards granted 825,191 1,089,393 1,261,773
Weighted average grant date fair value $ 69.42 $ 47.45 $ 36.12
Aggregate fair value of vested restricted share and unit awards (in millions) $ 122.0 $ 51.0 $ 41.0
Aggregate intrinsic value of restricted units outstanding 23.0    
Aggregate intrinsic value of restricted units vested $ 0.4    
XML 151 R135.htm IDEA: XBRL DOCUMENT v3.24.0.1
Share-Based Compensation - Performance shares and performance units activity (Details)
12 Months Ended
Dec. 31, 2023
$ / shares
shares
Performance Shares  
Unvested Shares:  
Unvested balance, beginning of year (in shares) | shares 1,882,916
Performance shares and units granted | shares 550,394
Performance shares, performance adjustment | shares (341,420) [1],[2]
Vested (in shares) | shares (207,486)
Forfeited (in shares) | shares (3,708)
Unvested balance, end of year (in shares) | shares 1,880,696
Weighted Average Grant Date Fair Value:  
Unvested balance, beginning of year, weighted average grant date fair value | $ / shares $ 43.75
Weighted average grant date fair value | $ / shares 74.08
Performance shares, performance adjustment, weighted average grant date fair value | $ / shares 44.17 [1],[2]
Vested, weighted average grant date fair value | $ / shares 44.17
Forfeited, weighted average grant date fair value | $ / shares 59.83
Unvested balance, end of year, weighted average grant date fair value | $ / shares $ 52.47
Performance Units  
Unvested Shares:  
Unvested balance, beginning of year (in shares) | shares 39,710
Performance shares and units granted | shares 18,182
Performance shares, performance adjustment | shares (2,024) [1],[2]
Vested (in shares) | shares (6,274)
Forfeited (in shares) | shares 0
Unvested balance, end of year (in shares) | shares 49,594
Weighted Average Grant Date Fair Value:  
Unvested balance, beginning of year, weighted average grant date fair value | $ / shares $ 45.33
Weighted average grant date fair value | $ / shares 74.31
Performance shares, performance adjustment, weighted average grant date fair value | $ / shares 44.17 [1],[2]
Vested, weighted average grant date fair value | $ / shares 44.17
Forfeited, weighted average grant date fair value | $ / shares 0
Unvested balance, end of year, weighted average grant date fair value | $ / shares $ 56.15
[1] The performance adjustment represents the change in PSUs, which vested following the end of the performance period. The performance units were granted at the target level of achievement
[2] The performance adjustment represents the difference between the number of performance shares granted and earned, which vested following the end of the performance period. The performance shares were granted at the maximum level of achievement.
XML 152 R136.htm IDEA: XBRL DOCUMENT v3.24.0.1
Share-Based Compensation - Performance shares and units additional information (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Expected volatility 25.10% 24.00% 24.20%
Risk free interest rate 4.10% 2.00% 1.00%
Performance Common Shares and Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Expected volatility 30.40% 38.10% 37.50%
Risk free interest rate 4.60% 1.70% 0.30%
Performance shares and units granted 568,576 690,772 685,104
Weighted average grant date fair value $ 74.09 $ 49.91 $ 37.38
Aggregate fair value of vested restricted share and unit awards (in millions) $ 14 $ 27 $ 24
Aggregate intrinsic value of performance shares outstanding $ 4    
Performance Common Shares and Units | Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Payout percentage 0.00%    
Performance Common Shares and Units | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Payout percentage 200.00%    
XML 153 R137.htm IDEA: XBRL DOCUMENT v3.24.0.1
Share-Based Compensation - Share-based compensation expense (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share based compensation expense $ 92 $ 88 $ 87
Share based compensation expense, net of tax 80 77 76
Options and SARs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share based compensation expense 11 12 12
Share based compensation expense, net of tax 10 11 11
Restricted Common Shares And Restricted Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share based compensation expense 54 50 47
Share based compensation expense, net of tax 45 42 39
Performance Awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share based compensation expense 23 22 24
Share based compensation expense, net of tax 21 20 22
Employee Share Purchase Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share based compensation expense 4 4 4
Share based compensation expense, net of tax $ 4 $ 4 $ 4
XML 154 R138.htm IDEA: XBRL DOCUMENT v3.24.0.1
Share-Based Compensation - Unrecognized compensation cost and period for recognition (Details)
$ in Millions
12 Months Ended
Dec. 31, 2023
USD ($)
Stock Options  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Unrecognized compensation cost related to unvested awards $ 7
Weighted average recognition period (years) 8 months 1 day
Restricted Common Shares And Restricted Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Unrecognized compensation cost related to unvested awards $ 43
Weighted average recognition period (years) 11 months 12 days
Performance Common Shares and Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Unrecognized compensation cost related to unvested awards $ 11
Weighted average recognition period (years) 5 months 8 days
XML 155 R139.htm IDEA: XBRL DOCUMENT v3.24.0.1
Retirement Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Retirement Benefits [Abstract]      
Defined contribution plan, expense $ 77 $ 67 $ 60
XML 156 R140.htm IDEA: XBRL DOCUMENT v3.24.0.1
Statutory Information - Summary of statutory capital, surplus and net income (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Bermuda      
Statutory Accounting Practices [Line Items]      
Actual statutory capital and surplus [1] $ 24,120 $ 19,546  
Required statutory capital and surplus [1] 7,112 6,450  
Statutory net income (loss) 3,519 1,730 $ 2,371
Ireland      
Statutory Accounting Practices [Line Items]      
Actual statutory capital and surplus [1] 1,148 968  
Required statutory capital and surplus [1] 942 815  
Statutory net income (loss) 53 (53) 25
United States      
Statutory Accounting Practices [Line Items]      
Actual statutory capital and surplus [1] 6,897 6,195  
Required statutory capital and surplus [1] 1,895 1,749  
Statutory net income (loss) 592 220 346
United Kingdom      
Statutory Accounting Practices [Line Items]      
Actual statutory capital and surplus [1] 1,367 1,018  
Required statutory capital and surplus [1] 1,192 543  
Statutory net income (loss) 72 57 35
Canada      
Statutory Accounting Practices [Line Items]      
Actual statutory capital and surplus [1] 83 69  
Required statutory capital and surplus [1] 53 48  
Statutory net income (loss) 6 9 7
Australia      
Statutory Accounting Practices [Line Items]      
Actual statutory capital and surplus [1] 366 285  
Required statutory capital and surplus [1] 179 176  
Statutory net income (loss) $ 68 $ 39 $ 12
[1] Such amounts include ownership interests in affiliated insurance and reinsurance subsidiaries.
XML 157 R141.htm IDEA: XBRL DOCUMENT v3.24.0.1
Statutory Information - Narrative (Details)
$ in Millions
12 Months Ended
Dec. 31, 2023
USD ($)
subsidiary
Ireland  
Statutory Accounting Practices [Line Items]  
Number Of Subsidiaries | subsidiary 3
Mortgage | North Carolina or Wisconsin  
Statutory Accounting Practices [Line Items]  
Required contingency loss reserve as a percentage of net earned premiums 50.00%
Withdrawal restriction period 10 years
Withdrawal restriction period, with prior approval 35.00%
Maximum risk to capital ratio 2500.00%
United Guaranty Residential Insurance Company | North Carolina  
Statutory Accounting Practices [Line Items]  
Dividends available for payment in 2022, total $ 180
Arch Re US | United States  
Statutory Accounting Practices [Line Items]  
Dividends available for payment in 2022, total $ 329
Arch Re Bermuda | Bermuda  
Statutory Accounting Practices [Line Items]  
Dividends, percentage permitted 25.00%
Dividend required notice period 7 days
Dividends available for payment in 2022 without prior regulatory approval $ 4,800
Arch Group Reinsurance Ltd | Bermuda  
Statutory Accounting Practices [Line Items]  
Dividends, percentage permitted 25.00%
Dividend required notice period 7 days
Arch Mortgage Insurance Company | WISCONSIN  
Statutory Accounting Practices [Line Items]  
Dividends available for payment in 2022, total $ 180
Arch Mortgage Guaranty Company | WISCONSIN  
Statutory Accounting Practices [Line Items]  
Dividends available for payment in 2022, total $ 180
XML 158 R142.htm IDEA: XBRL DOCUMENT v3.24.0.1
Schedule II - Condensed Financial Information of Registrant - Balance Sheet (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Assets        
Total investments $ 33,856 $ 27,293    
Cash 917 855 $ 859  
Investment in operating affiliates 1,119 965    
Other assets 4,761 2,919    
Total assets 58,906 47,990 45,101  
Liabilities        
Senior notes 2,726 2,725    
Other liabilities 1,942 1,367    
Total liabilities 40,551 35,069 31,546  
Shareholders’ Equity        
Non-cumulative preferred shares 830 830    
Common shares ($0.0011 par, shares issued: 591.9 and 588.3) 1 1    
Additional paid-in capital 2,327 2,211    
Retained earnings 20,295 15,892    
Accumulated other comprehensive income (loss), net of deferred income tax (676) (1,646) (65) $ 489
Common shares held in treasury, at cost (shares: 218.5 and 217.9) (4,424) (4,378)    
Total shareholders' equity 18,353 12,910 $ 13,546  
Total liabilities and shareholders' equity $ 58,906 $ 47,990    
Parenthetical information:        
Common shares, par value per share $ 0.0011 $ 0.0011    
Common shares issued (shares) 591.9 588.3 583.3 579.0
Common shares held in treasury (shares) 218.5 217.9 204.4  
Parent Company        
Assets        
Total investments $ 17 $ 7    
Cash 9 11    
Investment in subsidiaries 19,590 14,191    
Investment in operating affiliates 4 5    
Due from Affiliates 0 2    
Other assets 58 18    
Total assets 19,678 14,234    
Liabilities        
Senior notes 1,287 1,287    
Other liabilities 38 37    
Total liabilities 1,325 1,324    
Shareholders’ Equity        
Non-cumulative preferred shares 830 830    
Common shares ($0.0011 par, shares issued: 591.9 and 588.3) 1 1    
Additional paid-in capital 2,327 2,211    
Retained earnings 20,295 15,892    
Accumulated other comprehensive income (loss), net of deferred income tax (676) (1,646)    
Common shares held in treasury, at cost (shares: 218.5 and 217.9) (4,424) (4,378)    
Total shareholders' equity 18,353 12,910    
Total liabilities and shareholders' equity $ 19,678 $ 14,234    
Parenthetical information:        
Common shares, par value per share $ 0.0011 $ 0.0011    
Common shares issued (shares) 591.9 588.3    
Common shares held in treasury (shares) 218.5 217.9    
XML 159 R143.htm IDEA: XBRL DOCUMENT v3.24.0.1
Schedule II - Condensed Financial Information of Registrant - Statement of Income (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Revenues      
Net investment income $ 1,023 $ 496 $ 389
Total revenues 13,634 9,613 9,248
Expenses      
Corporate expenses 102 95 78
Interest expense 133 131 139
Total expenses 10,249 8,126 7,145
Income tax (expense) benefit 873 (80) (128)
Income (loss) from operating affiliates 184 75 264
Net income available to Arch 4,443 1,476 2,157
Preferred share dividends (40) (40) (48)
Loss on redemption of preferred shares 0 0 (15)
Net income available to Arch common shareholders 4,403 1,436 2,094
Parent      
Revenues      
Net investment income 2 2 2
Total revenues 2 2 2
Expenses      
Corporate expenses 93 86 72
Interest expense 59 59 59
Total expenses 152 145 131
Income (loss) before income taxes (150) (143) (129)
Income tax (expense) benefit 41 0 0
Income (loss) from operating affiliates (1) (1) (1)
Income (loss) before equity in net income of subsidiaries (110) (144) (130)
Equity in net income of subsidiaries 4,553 1,593 2,287
Net income available to Arch 4,443 1,449 2,157
Preferred share dividends (40) (40) (48)
Loss on redemption of preferred shares 0 0 (15)
Net income available to Arch common shareholders $ 4,403 $ 1,409 $ 2,094
XML 160 R144.htm IDEA: XBRL DOCUMENT v3.24.0.1
Schedule II - Condensed Financial Information of Registrant - Statement of Cash Flows (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Operating Activities:      
Net Cash Provided by (Used in) Operating Activities $ 5,749 $ 3,816 $ 3,425
Investing Activities:      
Net (purchases) sales of short-term investments (696) 467 165
Purchases of fixed assets (52) (50) (41)
Other (23) 125 (524)
Net cash used for investing activities (5,468) (3,101) (2,138)
Financing Activities:      
Purchases of common shares under share repurchase program 0 (586) (1,234)
Proceeds from common shares issued, net (2) 6 6
Proceeds from issuance of preferred shares, net 0 0 486
Redemption of preferred shares 0 0 (450)
Preferred dividends paid (40) (40) (47)
Net Cash Provided by (Used in) Financing Activities (69) (706) (1,229)
Increase (decrease) in cash and restricted cash 225 (41) 24
Cash and restricted cash, beginning of year 1,273 1,314 1,290
Cash and restricted cash, end of year 1,498 1,273 1,314
Parent      
Operating Activities:      
Net Cash Provided by (Used in) Operating Activities 46 621 1,728
Investing Activities:      
Net (purchases) sales of short-term investments (8) (5) (2)
Capital contributed to subsidiaries 0 0 (487)
Purchases of fixed assets 0 0 (1)
Other 1 (1) 0
Net cash used for investing activities (7) (6) (490)
Financing Activities:      
Purchases of common shares under share repurchase program 0 (586) (1,234)
Proceeds from common shares issued, net (2) 6 6
Proceeds from issuance of preferred shares, net 0 0 486
Redemption of preferred shares 0 0 (450)
Preferred dividends paid (40) (40) (48)
Net Cash Provided by (Used in) Financing Activities (42) (620) (1,240)
Increase (decrease) in cash and restricted cash (3) (5) (2)
Cash and restricted cash, beginning of year 12 17 19
Cash and restricted cash, end of year $ 9 $ 12 $ 17
XML 161 R145.htm IDEA: XBRL DOCUMENT v3.24.0.1
Schedule III - Supplementary Insurance Information (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Line Items]      
Deferred Acquisition Costs $ 1,531 $ 1,263 $ 901
Reserves for Losses and Loss Adjustment Expenses 22,752 20,032 17,758
Unearned Premiums 8,808 7,337 6,012
Net Premiums Earned 12,440 9,679 8,082
Net Losses and Loss Adjustment Expenses Incurred 6,246 5,028 4,585
Amortization of Deferred Acquisition Costs 2,312 1,740 1,303
Other Operating Expenses [1] 1,301 1,128 999
Net Premiums Written 13,468 11,078 9,017
Operating segments | Insurance      
SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Line Items]      
Deferred Acquisition Costs 566 301 378
Reserves for Losses and Loss Adjustment Expenses 12,250 11,017 9,811
Unearned Premiums 3,917 3,382 2,938
Net Premiums Earned 5,446 4,560 3,625
Net Losses and Loss Adjustment Expenses Incurred 3,122 2,784 2,345
Amortization of Deferred Acquisition Costs 1,055 887 606
Other Operating Expenses [1] 819 665 559
Net Premiums Written 5,862 5,021 4,149
Operating segments | Reinsurance      
SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Line Items]      
Deferred Acquisition Costs 901 992 424
Reserves for Losses and Loss Adjustment Expenses 9,924 8,306 6,879
Unearned Premiums 4,254 3,206 2,263
Net Premiums Earned 5,836 3,959 2,841
Net Losses and Loss Adjustment Expenses Incurred 3,227 2,568 1,925
Amortization of Deferred Acquisition Costs 1,240 813 537
Other Operating Expenses [1] 288 268 214
Net Premiums Written 6,554 4,924 3,254
Operating segments | Mortgage      
SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Line Items]      
Deferred Acquisition Costs 64 (30) 99
Reserves for Losses and Loss Adjustment Expenses 578 709 1,068
Unearned Premiums 637 749 811
Net Premiums Earned 1,158 1,160 1,283
Net Losses and Loss Adjustment Expenses Incurred (103) (324) 57
Amortization of Deferred Acquisition Costs 17 40 97
Other Operating Expenses [1] 194 195 193
Net Premiums Written 1,052 1,133 1,261
Operating segments | Other      
SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Line Items]      
Deferred Acquisition Costs
Reserves for Losses and Loss Adjustment Expenses
Unearned Premiums
Net Premiums Earned 333
Net Losses and Loss Adjustment Expenses Incurred 258
Amortization of Deferred Acquisition Costs 63
Other Operating Expenses 33 [1]
Net Premiums Written $ 353
[1] Certain other operating expenses relate to the Company’s corporate segment. Such amounts are not reflected in the table above. See note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the corporate segment.
XML 162 R146.htm IDEA: XBRL DOCUMENT v3.24.0.1
Schedule IV - Reinsurance (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Gross Amount $ 9,652 $ 8,542 $ 7,707
Ceded to other Companies (4,935) (4,249) (3,735)
Assumed From Other Companies 8,751 6,785 5,045
Net Amount $ 13,468 $ 11,078 $ 9,017
Percentage of Amount Assumed to Net 65.00% 61.20% 55.90%
Operating segments | Insurance      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Gross Amount $ 7,865 $ 6,889 $ 5,834
Ceded to other Companies [1],[2] (2,049) (1,910) (1,719)
Assumed From Other Companies [1] 46 42 34
Net Amount $ 5,862 $ 5,021 $ 4,149
Percentage of Amount Assumed to Net 0.80% 0.80% 0.80%
Operating segments | Reinsurance      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Gross Amount $ 626 $ 397 $ 409
Ceded to other Companies [1],[2] (2,559) (2,024) (1,840)
Assumed From Other Companies [1] 8,487 6,553 4,685
Net Amount $ 6,554 $ 4,924 $ 3,254
Percentage of Amount Assumed to Net 129.50% 133.10% 144.00%
Operating segments | Mortgage      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Gross Amount $ 1,161 $ 1,256 $ 1,213
Ceded to other Companies [1],[2] (335) (322) (247)
Assumed From Other Companies [1] 226 199 294
Net Amount $ 1,052 $ 1,133 $ 1,261
Percentage of Amount Assumed to Net 21.50% 17.60% 23.30%
Operating segments | Other      
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]      
Gross Amount     $ 251
Ceded to other Companies [2] $ 0 $ 0 (105) [1]
Assumed From Other Companies [1]     206
Net Amount $ 0 $ 0 $ 353
Percentage of Amount Assumed to Net     58.40%
[1] Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
[2] Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
XML 163 R147.htm IDEA: XBRL DOCUMENT v3.24.0.1
Schedule VI - Supplementary Information For Property and Casualty Insurance Underwriters (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Line Items]      
Net Losses and Loss Adjustment Expenses Incurred Related to Current Year $ 6,784 $ 5,797 $ 4,940
Net Losses and Loss Adjustment Expenses Incurred Related to Prior Years (538) (769) (355)
Consolidated Subsidiaries      
SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Line Items]      
Deferred Acquisition Costs 1,531 1,263 901
Reserves for Losses and Loss Adjustment Expenses 22,752 20,032 17,758
Discount, if any, deducted in Column C 66 61 56
Unearned Premiums 8,808 7,337 6,012
Net Premiums Earned 12,440 9,679 8,082
Net investment income 1,023 496 389
Net Losses and Loss Adjustment Expenses Incurred Related to Current Year 6,784 5,797 4,940
Net Losses and Loss Adjustment Expenses Incurred Related to Prior Years (538) (769) (355)
Amortization of Deferred Acquisition Costs 2,312 1,740 1,303
Net Paid Losses and Loss Adjustment Expenses 4,093 3,141 2,827
Net Premiums Written $ 13,468 $ 11,078 $ 9,017
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