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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
WASHINGTON, D.C. 20549
 
FORM 10-Q
QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
For the quarterly period endedJune 30, 2023
Or
TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
Commission file number: 001-16209

 archlogorgbsolida36.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 shareACGLNASDAQ Stock Market
Depositary shares, each representing a 1/1000th interest in a 5.45% Series F preferred share
ACGLO
NASDAQ Stock Market
Depositary shares, each representing a 1/1000th interest in a 4.55% Series G preferred share
ACGLN
NASDAQ Stock Market
Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 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 is a shell company (as defined in Rule 12b-2 of the Exchange Act). Yes No

As of July 28, 2023, there were 372,954,263 common shares, $0.0011 par value per share, of the registrant outstanding.


Table of Contents
ARCH CAPITAL GROUP LTD.
 
INDEX TO FORM 10-Q
 
  Page No.
PART I 
 2
Item 1.
 4
Item 2.
Item 3.
Item 4.
  
PART II 
Item 1.
Item 1A.
Item 2.
Item 3.
Item 4.
Item 5. 
Item 6. 
ARCH CAPITAL
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2023 SECOND QUARTER FORM 10-Q

Table of Contents
PART I. FINANCIAL INFORMATION
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, 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, reinsurance and mortgage 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, political unrest and other hostilities or other unforecasted and unpredictable events;
ARCH CAPITAL
 2
2023 SECOND QUARTER FORM 10-Q

Table of Contents
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;
a disruption caused by cyber attacks or other technology breaches or failures on us or 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 proposed legislation that would affect 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 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 our Annual Report on Form 10-K for the year ended December 31, 2022, as well as the other factors set forth in our 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
 3
2023 SECOND QUARTER FORM 10-Q

Table of Contents
ITEM 1. CONSOLIDATED FINANCIAL STATEMENTS
 Page No.
  
June 30, 2023 and December 31, 2022 (unaudited)
For the three and six month periods ended June 30, 2023 and 2022 (unaudited)
For the three and six month periods ended June 30, 2023 and 2022 (unaudited)
Consolidated Statements of Changes in Shareholders’ Equity
For the three and six month periods ended June 30, 2023 and 2022 (unaudited)
For the six month periods ended June 30, 2023 and 2022 (unaudited)
Notes to Consolidated Financial Statements (unaudited)

ARCH CAPITAL
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Table of Contents
Report of Independent Registered Public Accounting Firm

To the Board of Directors and Shareholders of Arch Capital Group Ltd.
Results of Review of Interim Financial Statements
We have reviewed the accompanying consolidated balance sheet of Arch Capital Group Ltd. and its subsidiaries (the “Company”) as of June 30, 2023, and the related consolidated statements of income, comprehensive income, and changes in shareholders’ equity for the three month and six month periods ended June 30, 2023 and 2022 and the consolidated statements of cash flows for the six month periods ended June 30, 2023 and 2022, including the related notes (collectively referred to as the “interim financial statement”). Based on our reviews, we are not aware of any material modifications that should be made to the accompanying interim financial statements for them to be in conformity with accounting principles generally accepted in the United States of America.
We have previously audited, in accordance with the standards of the Public Company Accounting Oversight Board (United States) (PCAOB), the consolidated balance sheets of the Company as of December 31, 2022, and the related consolidated statements of income, comprehensive income, changes in shareholders’ equity, and cash flows for the year then ended (not presented herein), and in our report dated February 24, 2023, we expressed an unqualified opinion on those consolidated financial statements. In our opinion, the information set forth in the accompanying consolidated balance sheet as of December 31, 2022, is fairly stated, in all material respects, in relation to the consolidated balance sheet from which it has been derived.
Basis for Review Results
These interim financial statements are the responsibility of the Company’s management. We are a public accounting firm registered with the 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 review in accordance with the standards of the PCAOB. A review of interim financial information consists principally of applying analytical procedures and making inquiries of persons responsible for financial and accounting matters. It is substantially less in scope than an audit conducted in accordance with the standards of the PCAOB, the objective of which is the expression of an opinion regarding the financial statements taken as a whole. Accordingly, we do not express such an opinion.



/s/ PricewaterhouseCoopers LLP


New York, New York
August 2, 2023

ARCH CAPITAL
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2023 SECOND QUARTER FORM 10-Q

Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars and shares in millions)
(Unaudited)
June 30,
2023
December 31,
2022
Assets  
Investments:  
Fixed maturities available for sale, at fair value (amortized cost: $22,739 and $21,282; net of allowance for credit losses: $61 and $41)
$21,434 $19,683 
Short-term investments available for sale, at fair value (amortized cost: $1,701 and $1,333; net of allowance for credit losses: $0 and $0)
1,702 1,332 
Equity securities, at fair value911 860 
Other investments, at fair value1,846 1,644 
Investments accounted for using the equity method4,073 3,774 
Total investments29,966 27,293 
Cash904 855 
Accrued investment income233 159 
Investment in operating affiliates973 965 
Premiums receivable (net of allowance for credit losses: $34 and $35)
5,296 3,625 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses (net of allowance for credit losses: $22 and $22)
6,717 6,564 
Contractholder receivables (net of allowance for credit losses: $3 and $3)
1,761 1,731 
Ceded unearned premiums2,459 1,799 
Deferred acquisition costs1,452 1,264 
Receivable for securities sold97 12 
Goodwill and intangible assets775 804 
Other assets3,223 2,919 
Total assets$53,856 $47,990 
Liabilities
Reserve for losses and loss adjustment expenses$21,268 $20,032 
Unearned premiums9,052 7,337 
Reinsurance balances payable2,191 1,530 
Contractholder payables1,764 1,734 
Collateral held for insured obligations275 249 
Senior notes2,726 2,725 
Payable for securities purchased526 95 
Other liabilities1,411 1,367 
Total liabilities39,213 35,069 
Commitments and contingencies (refer to Note 10)
Redeemable noncontrolling interests2 11 
Shareholders' Equity
Non-cumulative preferred shares830 830 
Common shares ($0.0011 par, shares issued: 591.2 and 588.3)
1 1 
Additional paid-in capital2,278 2,211 
Retained earnings17,258 15,892 
Accumulated other comprehensive income (loss), net of deferred income tax(1,319)(1,646)
Common shares held in treasury, at cost (shares: 218.3 and 217.9)
(4,407)(4,378)
Total shareholders' equity available to Arch14,641 12,910 
Total liabilities, noncontrolling interests and shareholders' equity$53,856 $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)
(Unaudited)(Unaudited)
Three Months EndedSix Months Ended
June 30,June 30,
 2023202220232022
Revenues    
Net premiums earned$2,965 $2,326 5,848 4,447 
Net investment income242 106 441 186 
Net realized gains (losses)(123)(267)(106)(559)
Other underwriting income6 3 16 9 
Equity in net income (loss) of investment funds accounted for using the equity method69 58 117 94 
Other income (loss)3 (12)14 (21)
Total revenues3,162 2,214 6,330 4,156 
Expenses
Losses and loss adjustment expenses1,491 1,103 2,962 2,104 
Acquisition expenses561 413 1,094 791 
Other operating expenses313 277 632 567 
Corporate expenses21 28 51 60 
Amortization of intangible assets24 27 47 54 
Interest expense33 33 65 66 
Net foreign exchange (gains) losses5 (88)23 (92)
Total expenses2,448 1,793 4,874 3,550 
Income (loss) before income taxes and income (loss) from operating affiliates714 421 1,456 606 
Income tax (expense) benefit(67)(22)(131)(34)
Income (loss) from operating affiliates22 5 61 30 
Net income (loss)$669 $404 $1,386 $602 
Net (income) loss attributable to noncontrolling interests2   (2)
Net income (loss) available to Arch671 404 1,386 600 
Preferred dividends(10)(10)(20)(20)
Net income (loss) available to Arch common shareholders$661 $394 $1,366 $580 
Net income per common share and common share equivalent    
Basic$1.79 $1.07 $3.71 $1.56 
Diluted$1.75 $1.04 $3.62 $1.52 
Weighted average common shares and common share equivalents outstanding  
Basic368.7 369.2 368.0 371.7 
Diluted378.4 377.9 377.8 380.8 



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)
(Unaudited)(Unaudited)
Three Months EndedSix Months Ended
June 30,June 30,
 2023202220232022
Comprehensive Income   
Net income (loss)$669 $404 $1,386 $602 
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 period(173)(598)72 (1,282)
Reclassification of net realized (gains) losses, included in net income (loss)149 58 248 160 
Foreign currency translation adjustments2 (68)7 (71)
Comprehensive income (loss)647 (204)1,713 (591)
Net (income) loss attributable to noncontrolling interests2   (2)
Comprehensive income (loss) available to Arch$649 $(204)$1,713 $(593)
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)

(Unaudited)(Unaudited)
Three Months EndedSix Months Ended
June 30,June 30,
 2023202220232022
Non-cumulative preferred shares  
Balance at beginning and end of period$830 $830 $830 $830 
Common shares
Balance at beginning and end of period1 1 1 1 
Additional paid-in capital  
Balance at beginning of period2,260 2,134 2,211 2,085 
Amortization of share-based compensation17 21 58 66 
Other changes1 15 9 19 
Balance at end of period2,278 2,170 2,278 2,170 
Retained earnings  
Balance at beginning of period16,597 14,642 15,892 14,456 
Net income (loss)669 404 1,386 602 
Net (income) loss attributable to noncontrolling interests2   (2)
Preferred share dividends(10)(10)(20)(20)
Balance at end of period17,258 15,036 17,258 15,036 
Accumulated other comprehensive income (loss), net of deferred income tax
Balance at beginning of period(1,297)(650)(1,646)(65)
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:
Balance at beginning of period(1,168)(569)(1,512)13 
Unrealized holding gains (losses) during period, net of reclassification adjustment(24)(540)320 (1,122)
Balance at end of period(1,192)(1,109)(1,192)(1,109)
Foreign currency translation adjustments, net of deferred income tax:
Balance at beginning of period(129)(81)(134)(78)
Foreign currency translation adjustments2 (68)7 (71)
Balance at end of period(127)(149)(127)(149)
Balance at end of period(1,319)(1,258)(1,319)(1,258)
Common shares held in treasury, at cost
Balance at beginning of period(4,403)(4,037)(4,378)(3,761)
Shares repurchased for treasury(4)(324)(29)(600)
Balance at end of period(4,407)(4,361)(4,407)(4,361)
Total shareholders’ equity$14,641 $12,418 $14,641 $12,418 
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)
(Unaudited)
Six Months Ended
June 30,
 20232022
Operating Activities  
Net income (loss)$1,386 $602 
Adjustments to reconcile net income (loss) to net cash provided by operating activities:
Net realized (gains) losses110 555 
Equity in net (income) or loss of investment funds accounted for using the equity method and other income or loss(49)44 
Amortization of intangible assets47 54 
Share-based compensation58 66 
Changes in:
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable1,020 635 
Unearned premiums, net of ceded unearned premiums1,004 872 
Premiums receivable(1,648)(1,086)
Deferred acquisition costs(152)(174)
Reinsurance balances payable652 72 
Other items, net(314)(186)
Net cash provided by operating activities2,114 1,454 
Investing Activities  
Purchases of fixed maturity investments(8,840)(9,706)
Purchases of equity securities(104)(656)
Purchases of other investments(557)(920)
Proceeds from sales of fixed maturity investments7,079 8,079 
Proceeds from sales of equity securities161 1,490 
Proceeds from sales, redemptions and maturities of other investments201 863 
Proceeds from redemptions and maturities of fixed maturity investments368 444 
Net settlements of derivative instruments46 (44)
Net (purchases) sales of short-term investments(333)(440)
Purchases of fixed assets(26)(23)
Other4 98 
Net cash used for investing activities(2,001)(815)
Financing Activities  
Purchases of common shares under share repurchase program (576)
Proceeds from common shares issued, net (4)
Change in third party investment in redeemable noncontrolling interests(22) 
Other(3)(82)
Preferred dividends paid(20)(20)
Net cash used for financing activities(45)(682)
Effects of exchange rate changes on foreign currency cash and restricted cash12 (43)
Increase (decrease) in cash and restricted cash80 (86)
Cash and restricted cash, beginning of year1,273 1,314 
Cash and restricted cash, end of period$1,353 $1,228 

See Notes to Consolidated Financial Statements

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

1.    Basis of Presentation and Recent Accounting Pronouncements
General
Arch Capital Group Ltd. (“Arch Capital”) 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.
Basis of Presentation
The interim consolidated financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America (“GAAP”). 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. In the opinion of management, the accompanying unaudited interim consolidated financial statements reflect all adjustments (consisting of normally recurring accruals) necessary for a fair statement of results on an interim basis. The results of any interim period are not necessarily indicative of the results for a full year or any future periods. Certain information and footnote disclosures normally included in financial statements prepared in accordance with GAAP have been condensed or omitted; however, management believes that the disclosures are adequate to make the information presented not misleading. This report should be read in conjunction with the Company’s Annual Report on Form 10-K for the year ended December 31, 2022 (“2022 Form 10-K”), including the Company’s audited consolidated financial statements and related notes.
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, comprehensive income, shareholders’ equity or cash flows. All amounts are in millions, except per share amounts, unless otherwise noted.
Recent Accounting Pronouncements
Recently Issued Accounting Standards Adopted
For information regarding additional accounting standards that the Company has not yet adopted, see note 3(t), “Significant Accounting Policies—Recent Accounting Pronouncements,” of the notes to consolidated financial statements in the Company’s 2022 Form 10-K.
2.    Share Transactions
Share Repurchases
The Board of Directors of Arch Capital has authorized the investment in Arch Capital’s common shares through a share repurchase program. At June 30, 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.
Employee Share Purchase Plan
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 12.75 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 June 30, 2023, 3.7 million shares remain available for issuance.
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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)
3.    Earnings Per Common Share
The following table sets forth the computation of basic and diluted earnings per common share:
Three Months EndedSix Months Ended
June 30,June 30,
 2023202220232022
Numerator:
Net income (loss)$669 $404 $1,386 $602 
Net (income) loss attributable to noncontrolling interests2   (2)
Net income (loss) available to Arch671 404 1,386 600 
Preferred dividends(10)(10)(20)(20)
Net income (loss) available to Arch common shareholders$661 $394 $1,366 $580 
Denominator:
Weighted average common shares and common share equivalents outstanding — basic368.7 369.2 368.0 371.7 
Effect of dilutive common share equivalents:
Nonvested restricted shares2.3 2.1 2.4 2.2 
Stock options (1)7.4 6.6 7.4 6.9 
Weighted average common shares and common share equivalents outstanding — diluted378.4 377.9 377.8 380.8 
Earnings per common share:
Basic$1.79 $1.07 $3.71 $1.56 
Diluted$1.75 $1.04 $3.62 $1.52 
(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 the 2023 second quarter and 2022 second quarter, the number of stock options excluded were 0.3 million and 0.8 million, respectively. For the six months ended June 30, 2023 and 2022, the number of stock options excluded were 0.5 million and 0.8 million, respectively.
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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)
4.    Segment Information
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, the Chief Financial Officer and Treasurer and the President and Chief Underwriting Officer are the Company’s chief operating decision makers. They 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 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 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; excess and surplus casualty; professional lines; programs; property, energy, marine and aviation; travel, accident and health; warranty and lenders solutions; and other (consisting of alternative markets, excess workers' compensation and surety business).
The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include: casualty; marine and aviation; other specialty; property catastrophe; property excluding property catastrophe (losses on a single risk, both excess of loss and pro rata); and other (consisting of life reinsurance, casualty clash and other).
The mortgage segment includes the Company’s U.S. primary mortgage insurance business, investment and services related to U.S. credit-risk transfer (“CRT”) which are predominately with government sponsored enterprises (“GSEs”) and international mortgage insurance and reinsurance operations. Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (combined “Arch MI U.S.”) are approved as eligible mortgage insurers by Federal National Mortgage Association (“Fannie Mae”) and Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a GSE. Arch MI U.S. also includes Arch Mortgage Guaranty Company, which is not a GSE-approved entity.
The corporate segment results include net investment income, 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, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes, income or loss from operating affiliates and items related to the Company’s non-cumulative preferred shares.
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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)
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:
Three Months Ended
June 30, 2023
 InsuranceReinsuranceMortgageTotal
Gross premiums written (1)$1,955 $2,544 $347 $4,845 
Premiums ceded(501)(835)(82)(1,417)
Net premiums written1,454 1,709 265 3,428 
Change in unearned premiums(126)(366)29 (463)
Net premiums earned1,328 1,343 294 2,965 
Other underwriting income (loss) 3 3 6 
Losses and loss adjustment expenses(761)(743)13 (1,491)
Acquisition expenses(264)(290)(7)(561)
Other operating expenses(195)(68)(50)(313)
Underwriting income (loss)$108 $245 $253 606 
Net investment income242 
Net realized gains (losses)(123)
Equity in net income (loss) of investment funds accounted for using the equity method69 
Other income (loss)3 
Corporate expenses (2)(20)
Transaction costs and other (2)(1)
Amortization of intangible assets(24)
Interest expense(33)
Net foreign exchange gains (losses)(5)
Income (loss) before income taxes and income (loss) from operating affiliates714 
Income tax (expense) benefit(67)
Income (loss) from operating affiliates22 
Net income (loss)669 
Net (income) loss attributable to noncontrolling interests2 
Net income (loss) available to Arch671 
Preferred dividends(10)
Net income (loss) available to Arch common shareholders$661 
Underwriting Ratios
Loss ratio57.3 %55.3 %(4.5)%50.3 %
Acquisition expense ratio19.9 %21.6 %2.4 %18.9 %
Other operating expense ratio14.7 %5.0 %17.1 %10.6 %
Combined ratio91.9 %81.9 %15.0 %79.8 %
Goodwill and intangible assets$228 $146 $401 $775 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. 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 expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)
Three Months Ended
June 30, 2022
 InsuranceReinsuranceMortgageTotal
Gross premiums written (1)$1,705 $1,793 $372 $3,870 
Premiums ceded(477)(630)(78)(1,185)
Net premiums written1,228 1,163 294 2,685 
Change in unearned premiums(126)(235)2 (359)
Net premiums earned1,102 928 296 2,326 
Other underwriting income (loss) 5 (2)3 
Losses and loss adjustment expenses(630)(538)65 (1,103)
Acquisition expenses(214)(189)(10)(413)
Other operating expenses(161)(66)(50)(277)
Underwriting income (loss)$97 $140 $299 536 
Net investment income106 
Net realized gains (losses)(267)
Equity in net income (loss) of investment funds accounted for using the equity method58 
Other income (loss)(12)
Corporate expenses (2)(28)
Transaction costs and other (2) 
Amortization of intangible assets(27)
Interest expense(33)
Net foreign exchange gains (losses)88 
Income (loss) before income taxes and income (loss) from operating affiliates421 
Income tax (expense) benefit(22)
Income (loss) from operating affiliates5 
Net income (loss)404 
Net (income) loss attributable to noncontrolling interests 
Net income (loss) available to Arch404 
Preferred dividends(10)
Net income (loss) available to Arch common shareholders$394 
Underwriting Ratios    
Loss ratio57.1 %57.9 %(21.9)%47.4 %
Acquisition expense ratio19.4 %20.4 %3.4 %17.8 %
Other operating expense ratio14.6 %7.1 %17.0 %11.9 %
Combined ratio91.1 %85.4 %(1.5)%77.1 %
Goodwill and intangible assets$237 $166 $465 $868 

(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. 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 expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)
Six Months Ended
June 30, 2023
 InsuranceReinsuranceMortgageTotal