10-K

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

Form 10-K

(Mark One)
☒	ANNUAL REPORT PURSUANT TO SECTION 13 or 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934

For the fiscal year ended December 31, 2022

OR

☐ TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934

For the transition period from ______ to ______.

Commission file number 1-15202

W. R. BERKLEY CORPORATION

(Exact name of registrant as specified in its charter)

Delaware			22-1867895
(State or other jurisdiction of incorporation or organization)			(I.R.S. Employer Identification Number)
475 Steamboat Road	Greenwich,	CT	06830
(Address of principal executive offices)			(Zip Code)

Registrant’s telephone number, including area code: (203) 629-3000

Securities registered pursuant to Section 12(b) of the Act:

Title of each class	Trading Symbol(s)	Name of each exchange on which registered
Common Stock, par value $.20 per share	WRB	New York Stock Exchange
5.700% Subordinated Debentures due 2058	WRB-PE	New York Stock Exchange
5.100% Subordinated Debentures due 2059	WRB-PF	New York Stock Exchange
4.250% Subordinated Debentures due 2060	WRB-PG	New York Stock Exchange
4.125% Subordinated Debentures due 2061	WRB-PH	New York Stock Exchange

Securities registered pursuant to Section 12(g) of the 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 15(d) of the 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 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 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 the 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 Act).      Yes ☐     No ☒

The aggregate market value of the registrant's common stock held by non-affiliates as of June 30, 2022, the last business day of the registrant’s most recently completed second fiscal quarter, was $14,340,165,170.

Number of shares of common stock, $.20 par value, outstanding as of February 15, 2023: 263,446,321

DOCUMENTS INCORPORATED BY REFERENCE

Portions of the Company’s definitive proxy statement, which will be filed with the Securities and Exchange Commission within 120 days after December 31, 2022, are incorporated herein by reference in Part III.

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			Page
SAFE HARBOR STATEMENT
	PART I
ITEM	1.	BUSINESS	6
ITEM	1A.	RISK FACTORS	25
ITEM	1B.	UNRESOLVED STAFF COMMENTS	36
ITEM	2.	PROPERTIES	36
ITEM	3.	LEGAL PROCEEDINGS	36
ITEM	4.	MINE SAFETY DISCLOSURES	36
	PART II
ITEM	5.	MARKET FOR REGISTRANT’S COMMON EQUITY, RELATED STOCKHOLDER MATTERS AND ISSUER PURCHASES OF EQUITY SECURITIES	37
ITEM	6.	RESERVED
ITEM	7.	MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS	39
ITEM	7A.	QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK	60
ITEM	8.	FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA	61
ITEM	9.	CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND FINANCIAL DISCLOSURE	113
ITEM	9A.	CONTROLS AND PROCEDURES	113
ITEM	9B.	OTHER INFORMATION	115
ITEM	9C.	DISCLOSURE REGARDING FOREIGN JURISDICTIONS THAT PREVENT INSPECTIONS	115
	PART III
ITEM	10.	DIRECTORS, EXECUTIVE OFFICERS AND CORPORATE GOVERNANCE	116
ITEM	11.	EXECUTIVE COMPENSATION	116
ITEM	12.	SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND MANAGEMENT AND RELATED STOCKHOLDER MATTERS	116
ITEM	13.	CERTAIN RELATIONSHIPS AND RELATED TRANSACTIONS, AND DIRECTOR INDEPENDENCE	116
ITEM	14.	PRINCIPAL ACCOUNTANT FEES AND SERVICES	116
	PART IV
ITEM	15.	EXHIBITS AND FINANCIAL STATEMENT SCHEDULES	117
ITEM	16.	FORM 10-K SUMMARY	121
EX-4.1		DESCRIPTION OF REGISTRANT’S SECURITIES REGISTERED PURSUANT TO SECTION 12 OF THE SECURITIES EXCHANGE ACT OF 1934
EX-21		LIST OF COMPANIES AND SUBSIDIARIES
EX-23		CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM
EX-31.1		CERTIFICATION OF THE CHIEF EXECUTIVE OFFICER PURSUANT TO RULE 13a-14(a) /15d-14(a)
EX-31.2		CERTIFICATION OF THE CHIEF FINANCIAL OFFICER PURSUANT TO RULE 13a-14(a) /15d-14(a)
EX-32.1		CERTIFICATION OF THE CHIEF EXECUTIVE OFFICER AND CHIEF FINANCIAL OFFICER PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002
EX-101		INSTANCE DOCUMENT
EX-101		SCHEMA DOCUMENT
EX-101		CALCULATION LINKBASE DOCUMENT
EX-101		LABELS LINKBASE DOCUMENT
EX-101		PRESENTATION LINKBASE DOCUMENT
EX-101		DEFINITION LINKBASE DOCUMENT

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SAFE HARBOR STATEMENT

UNDER THE PRIVATE SECURITIES

LITIGATION REFORM ACT OF 1995

    This is a “Safe Harbor” Statement under the Private Securities Litigation Reform Act of 1995. This document may contain forward-looking statements within the meaning of the Private Securities Litigation Reform Act of 1995. Some of the forward-looking statements can be identified by the use of forward-looking words such as “believes,” “expects,” “potential,” “continued,” “may,” “will,” “should,” “seeks,” “approximately,” “predicts,” “intends,” “plans,” “estimates,” “anticipates” or the negative version of those words or other comparable words. Any forward-looking statements contained in this report including statements related to our outlook for the industry and for our performance for the year 2023 and beyond, are based upon our historical performance and on current plans, estimates and expectations. The inclusion of this forward-looking information should not be regarded as a representation by us that the future plans, estimates or expectations contemplated by us will be achieved. They are subject to various risks and uncertainties, including but not limited to:

•the cyclical nature of the property casualty industry;

•the impact of significant competition, including new entrants to the industry;

•the long-tail and potentially volatile nature of the insurance and reinsurance business;

•product demand and pricing;

•claims development and the process of estimating reserves;

•investment risks, including those of our portfolio of fixed maturity securities and investments in equity securities, including investments in financial institutions, municipal bonds, mortgage-backed securities, loans receivable, investment funds, including real estate, merger arbitrage, energy related and private equity investments;

•the effects of emerging claim and coverage issues;

•the uncertain nature of damage theories and loss amounts, including claims for cyber security-related risks;

•natural and man-made catastrophic losses, including as a result of terrorist activities;

•the ongoing effects of the COVID-19 pandemic;

•the impact of climate change, which may alter the frequency and increase the severity of catastrophe events;

•general economic and market activities, including inflation, interest rates and volatility in the credit and capital markets;

•the impact of conditions in the financial markets and the global economy, and the potential effect of legislative, regulatory, accounting or other initiatives taken in response to it, on our results and financial condition;

•foreign currency and political risks relating to our international operations;

•our ability to attract and retain key personnel and qualified employees;

•continued availability of capital and financing;

•the success of our new ventures or acquisitions and the availability of other opportunities;

•the availability of reinsurance;

•our retention under the Terrorism Risk Insurance Program Reauthorization Act of 2019 ("TRIPRA");

•the ability or willingness of our reinsurers to pay reinsurance recoverables owed to us;

•other legislative and regulatory developments, including those related to business practices in the insurance industry;

•credit risk relating to our policyholders, independent agents and brokers;

•changes in the ratings assigned to us or our insurance company subsidiaries by rating agencies;

•the availability of dividends from our insurance company subsidiaries;

•cyber security breaches of our information technology systems and the information technology systems of our vendors and other third parties;

•the effectiveness of our controls to ensure compliance with guidelines, policies and legal and regulatory standards; and

•other risks detailed in this Form 10-K and from time to time in our other filings with the Securities and Exchange Commission (“SEC”).

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We describe these risks and uncertainties in greater detail in Item 1A, Risk Factors. These risks and uncertainties could cause our actual results for the year 2023 and beyond to differ materially from those expressed in any forward-looking statement we make. Any projections of growth in our revenues would not necessarily result in commensurate levels of earnings. Our future financial performance is dependent upon factors discussed elsewhere in this Form 10-K and our other SEC filings. Forward-looking statements speak only as of the date on which they are made.

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PART I

ITEM 1. BUSINESS

    W. R. Berkley Corporation is an insurance holding company that is among the largest commercial lines writers in the United States and operates worldwide in two segments of the property casualty insurance business:

•Insurance - Our Insurance business underwrite predominantly commercial insurance business, including excess and surplus lines, admitted lines and specialty personal lines throughout the United States, as well as insurance business in Asia, Australia, Canada, Continental Europe, Mexico, Scandinavia, South America and the United Kingdom.

•Reinsurance & Monoline Excess - Our Reinsurance businesses provide facultative and treaty reinsurance in the United States, as well as in the Asia Pacific region, Australia, Continental Europe, South Africa and the United Kingdom. Monoline Excess businesses retain risk solely on an excess basis.

    Our two reporting segments are each composed of individual businesses that serve a market defined by geography, products, services or industry served. Each of our businesses is positioned close to its customer base and participates in a niche market requiring specialized knowledge. This strategy of decentralized operations allows each of our businesses to identify and respond quickly and effectively to changing market conditions and specific customer needs, while capitalizing on the benefits of centralized capital, investment and reinsurance management, and corporate actuarial, financial, enterprise risk management and legal staff support.

    Our business approach is focused on meeting the needs of our customers, maintaining a high quality balance sheet, and allocating capital to our best opportunities. New businesses are started when opportunities are identified and when the right talent and expertise are found to lead a business. Of our 59 businesses, 52 have been organized and developed internally and seven have been added through acquisition.

    Net premiums written, as reported based on United States generally accepted accounting principles (“GAAP”), for each of our reporting segments for each of the past three years were as follows:

	Year Ended December 31,
(In thousands)	2022			2021			2020
Net premiums written:
Insurance	$	8,784,146		$	7,743,814		$	6,347,101
Reinsurance & Monoline Excess	1,219,924			1,119,053			915,336
Total	$	10,004,070		$	8,862,867		$	7,262,437
Percentage of net premiums written:
Insurance	87.8		%	87.4		%	87.4		%
Reinsurance & Monoline Excess	12.2			12.6			12.6
Total	100.0		%	100.0		%	100.0		%

Thirty-two of our insurance company subsidiaries are rated by A.M. Best Company, Inc. ("A.M. Best") and have financial strength ratings of A+ (Superior) (the second highest rating out of 15 possible ratings). A.M. Best's ratings are based upon factors of concern to policyholders, insurance agents and brokers and are not directed toward the protection of investors. A.M. Best states: “A Best's Financial Strength Rating (FSR) is an independent opinion of an insurer's financial strength and ability to meet its ongoing insurance policy and contract obligations. An FSR is not assigned to specific insurance policies or contracts and does not address any other risk.” A.M. Best reviews its ratings on a periodic basis, and its ratings of the Company's subsidiaries are therefore subject to change.

Our twenty-three insurance company subsidiaries rated by Standard & Poor's (“S&P”) have financial strength ratings of A+ (the seventh highest rating out of twenty-seven possible ratings).

Our Moody's financial strength ratings are A1 for Berkley Insurance Company, Berkley Regional Insurance Company and Admiral Insurance Company (the fifth highest rating out of twenty-one possible ratings).

Our twenty-five insurance company subsidiaries rated by Fitch Ratings ("Fitch") have insurer financial strength ratings of AA- (the fourth highest rating out of twenty-seven possible ratings).

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The following sections describe our reporting segments and their businesses in greater detail. These businesses underwrite on behalf of one or more affiliated insurance companies within the group. The businesses are identified for descriptive purposes only and are not legal entities, but for marketing purposes may sometimes be referred to individually as "a Berkley company" or collectively as "Berkley companies." Unless otherwise indicated, all references in this Form 10-K to “Berkley,” “we,” “us,” “our,” the “Company” or similar terms refer to W. R. Berkley Corporation together with its subsidiaries and businesses. W. R. Berkley Corporation is a Delaware corporation formed in 1970.

Insurance

Our U.S.-based businesses predominantly underwrite commercial insurance business primarily throughout the United States, although many units offer coverage globally, focusing on the following general areas:

Excess & Surplus Lines: A number of our businesses are dedicated to the U.S. excess and surplus lines market. They serve a diverse group of customers that often have complex risk or unique exposures that typically fall outside the underwriting guidelines of the standard insurance market. Lines of business underwritten by our excess and surplus lines businesses include premises operations, commercial automobile, property, products liability, general liability and professional liability lines. Products are generally distributed through wholesale agents and brokers.

Industry Specialty: Certain other businesses focus on providing specialty coverages to customers within a particular industry that are best served by underwriters and claims professionals with specialized knowledge of that industry. They offer multiple lines of business with policies tailored to address the unique exposures of these industries, often with the flexibility of providing coverages on either an admitted or a non-admitted basis in the U.S., as well as internationally. Each business delivers its products through one or more distribution channels, including retail and wholesale agents, brokers, and managing general agents (MGAs), depending on the customer and the particular risks insured.

Product Specialty: Other businesses specialize in providing specific lines of insurance coverage, such as workers’ compensation or professional liability, to a wide range of customers. They offer insurance products, analytical tools and risk management services such as loss control and claims management that enable clients to manage their risk appropriately. Business is typically written on an admitted basis, although some businesses may offer non-admitted products in the U.S. and offer products internationally. Independent agents and brokers are the primary means of distribution.

Regional: Certain businesses offer standard insurance products and services focused on meeting the specific needs of a geographically differentiated customer base. Key clients are small-to-midsized businesses. These regionally focused businesses provide a broad array of commercial insurance products to customers primarily in 45 states and the District of Columbia and have developed expertise in niches that reflect local economies. They are organized geographically in order to provide them with the flexibility to adapt quickly to local market conditions and customer needs.

In addition, through our non-U.S. insurance businesses, we write business in more than 60 countries worldwide, with branches or offices in 43 cities outside the United States, in Asia, Australia, Canada, Continental Europe, Mexico, Scandinavia, South America and the United Kingdom. In each of our operating territories, we have built decentralized structures that allow products and services to be tailored to each regional customer base. Our businesses are managed by teams of professionals with expertise in local markets and knowledge of regional environments.

In addition to providing insurance products, certain businesses also provide a wide variety of fee-based services, including claims, administrative and consulting services.

Businesses comprising the Insurance segment are as follows:

Acadia Insurance is a Northeast regional property casualty underwriter offering a broad portfolio of products exclusively through local independent agents in Connecticut, Maine, Massachusetts, New Hampshire, New York, Rhode Island and Vermont. In addition to its general offerings, Acadia has specialized expertise in insuring regional industries such as construction, service contractors, lumber, and transportation.

Admiral Insurance provides excess and surplus lines coverage for commercial risks that generally consist of hard-to- place, specialized risks that involve moderate to high degrees of hazard. In both general liability and professional lines, Admiral has a broad line of products to meet the needs of existing as well as emerging opportunities. The distribution of products is limited solely to wholesale brokers.

Berkley Accident and Health underwrites accident and health insurance and reinsurance products in four primary areas: medical stop loss, managed care, special risk and group captive. It has a diversified product and service portfolio serving a range of clients from small employers, health care organizations, and membership groups to Fortune 500 companies.

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Berkley Agribusiness offers insurance for larger commercial risks across the United States involved in the supply, storage, handling, processing and distribution of commodities related to the agriculture and food industries.     

Berkley Alliance Managers offers tailored insurance coverages and comprehensive risk management solutions designed to enhance profitability and reduce susceptibility to loss in four target markets - Design Professionals, Construction Professionals, Accounting Professionals and miscellaneous non-medical Service Professionals.

Berkley Aspire provides excess and surplus lines coverage on a national basis to small to medium-sized insureds with low to moderate insurance risk. Its product lines include general liability, liquor liability and some property and inland marine coverage. It serves a limited distribution channel, including select Berkley business agents.

Berkley Asset Protection provides specialized insurance coverages for fine arts and jewelry exposures to commercial and individual clients.

Berkley Canada underwrites specialty, casualty and surety lines of business on behalf of the Canadian branch of Berkley Insurance Company. It specializes in commercial casualty and professional liability, and offers a broad portfolio of risk products that include commercial general liability, umbrella, professional liability, directors and officers, commercial property and surety, in addition to niche products for specific industries such as technology, life sciences and travel.

Berkley Construction Solutions provides excess liability coverage to residential and commercial contractors on a project or practice basis.

Berkley Custom Insurance focuses on the excess casualty insurance market and offers umbrella and excess liability coverages to clients from the small/middle market to Fortune 1000 companies in target classes of business including construction, manufacturing, retail/wholesale trade, finance, real estate, public entities and oil & gas.

Berkley Cyber Risk Solutions focuses on insurance and risk management products that respond to the changing cyber security vulnerabilities of organizations around the world. It offers specialty commercial cyber insurance coverages on a worldwide basis to clients of all sizes.

Berkley E&S Solutions provides general liability excess and surplus lines coverages for mid-market U.S. companies with generally hard-to-place, specialized risks that involve moderate to high degrees of hazard and require tailored terms, utilizing self-insurance retentions. The distribution of products is highly limited to a small number of individually appointed wholesale brokers.

Berkley Enterprise Risk Solutions provides custom workers' compensation programs to large, motivated employers operating in a broad range of industries. Loss sensitive and/or guaranteed cost programs are offered to employers with exposure predominately in California.

Berkley Entertainment underwrites property casualty insurance products, both on an admitted and non-admitted basis, for clients in the entertainment industry and sports-related organizations.

Berkley Environmental underwrites casualty and specialty environmental products for environmental customers including contractors, consultants, property owners and facilities operators.

Berkley Financial Specialists serves the insurance needs of companies in the financial services sector and beyond. Its Berkley Crime division provides crime and fidelity related insurance products for commercial organizations, financial sector businesses and governmental entities on a primary and excess basis. Its Financial Services segment provides management liability and fidelity products to financial institutions, insurance companies and asset management firms.

Berkley Fire & Marine offers a broad range of preferred inland marine and related property risks and services to customers throughout the United States. Products are distributed through independent agents and brokers.

Berkley Healthcare underwrites customized, comprehensive insurance solutions for the full spectrum of healthcare providers. Through Berkley Healthcare Medical Professional, it offers a wide range of medical professional coverages. Through Berkley Healthcare Financial Lines, it offers a comprehensive suite of financial lines coverages.

Berkley Human Services provides property casualty insurance coverages to human services organizations, including nonprofit and for-profit organizations. Its product offerings include traditional primary and excess coverages.

Berkley Industrial Comp specializes in writing workers' compensation insurance for diverse high hazard industries in select states. Its products are distributed by a select group of independent retail agents.

Berkley Insurance Asia underwrites specialty commercial insurance coverages to clients in North Asia and Southeast Asia through offices in Hong Kong, Singapore, Labuan and Shanghai.

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Berkley Insurance Australia underwrites general insurance business in Australia, including professional indemnity insurance for companies of all sizes.

Berkley Latinoamérica provides property, casualty, automobile, surety, group life and workers' compensation products and services in its operating territories of Argentina, Brazil, the Caribbean, Colombia, Mexico and Uruguay.

Berkley Life Sciences offers a comprehensive spectrum of property casualty products to the life sciences industry on a global basis, including both primary and excess product liability coverages. It serves pharmaceutical and biotech companies, medical device companies, dietary supplement companies, medical and research related software developers, contract research and manufacturing organizations, research institutions and organizations, and other related businesses.

Berkley Luxury Group provides commercial package insurance programs for high-end cooperative, condominium, and quality rental apartment buildings and upscale restaurants in the New York, New Jersey, Chicago and Washington, D.C. metropolitan markets, as well as other select markets.

Berkley Management Protection offers a modular suite of management liability products for small and middle market companies through a bespoke and easy to use platform tailored to independent agents. The management liability coverages they provide include directors and officers, employment practices, fiduciary, cyber, crime and miscellaneous professional liability.

Berkley Mid-Atlantic Group provides commercial property casualty coverages to a wide variety of businesses in Delaware, the District of Columbia, Maryland, Ohio, Pennsylvania, and Virginia. Focusing on small and middle market accounts, it complements its standard writings with specialized products in areas such as construction.

Berkley Net Underwriters focuses on small and medium-sized commercial risks, using a web-based system to allow producers to quote, bind and service workers' compensation insurance products on behalf of Berkley member insurance companies.

Berkley North Pacific offers preferred insurance products and services to a broad range of small to medium size commercial entities. It operates through independent agents in Idaho, Montana, Oregon, Utah and Washington.

Berkley Offshore Underwriting Managers is a specialist global underwriter of energy and marine risks. Its three divisions provide specialty insurance products in the energy upstream, energy liability and marine sectors.    

Berkley Oil & Gas provides property casualty products and risk services to the United States energy sector. Its customer base includes risks of all sizes that work in the oil patch, including operators, drillers, geophysical contractors, well-servicing contractors, and manufacturers/distributors of oil field products, as well as those in the renewable energy sector.    

Berkley One provides a customizable suite of personal lines insurance solutions including home, condo/co-op, auto, liability and collectibles. Berkley One targets high net worth individuals and families with sophisticated risk management needs.

Berkley Product Protection offers a broad product suite, including Product Liability and Product Recall and Contamination, to assist clients in the manufacturing, wholesale and import space with their risk management and insurance needs.

Berkley Professional Liability specializes in professional liability insurance for publicly-traded and private entities on a worldwide basis. Its liability coverages include directors and officers, errors and omissions, fiduciary, employment practices, and sponsored insurance agents' errors and omissions. Berkley Transactional, a division of Berkley Professional Liability, underwrites a full suite of transactional insurance products, including representations and warranties insurance, and tax opinion insurance.

Berkley Program Specialists is a program management company offering both admitted and non-admitted insurance support on a nationwide basis for commercial casualty and property program administrators with specialized insurance expertise. Its book is built around blocks of homogeneous business, or programs, allowing for efficient processes, effective oversight of existing programs and sound implementation of new programs.    

Berkley Public Entity specializes in providing excess coverage and services to individual governmental and scholastic entities and intergovernmental risk sharing groups. Products include general liability, automobile liability, law enforcement liability, public officials and educator's legal liability, employment practices liability, incidental medical, property and crime.

Berkley Risk provides at-risk and alternative risk insurance program management services for a broad range of groups and individuals including public entity pools, professional associations, captives and self-insured clients. As a third party administrator, it manages workers’ compensation, liability and property claims nationwide.

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Berkley Select specializes in underwriting professional liability insurance for law firms and accounting firms, as well as other professional firms and their practices. It also offers executive liability products, including directors and officers liability, employment practices and fiduciary liability, to small to middle market privately held and not-for-profit customers. Berkley Select provides these insurance products on both an admitted and surplus lines basis.    

Berkley Small Business Solutions offers commercial insurance products for small businesses through a modern technology platform that leverages data and analytics. Its initial product offering focuses on preferred risks in the non-fleet transportation market.

Berkley Southeast offers a wide array of commercial lines products in six southeastern states: Alabama, Georgia, Mississippi, North Carolina, South Carolina and Tennessee, specializing in small to mid-sized accounts.    

Berkley Surety provides a full spectrum of surety bonds for construction, environmental and commercial surety accounts in the U.S. and Canada, through an independent agency and broker platform across 20 field locations.    

Berkley Technology Underwriters provides a broad range of first and third-party insurance programs for technology exposures and technology industries on both a local and global basis.

Carolina Casualty is a national provider of primary commercial insurance products and services to the transportation industry. It underwrites on an admitted basis in all 50 states and the District of Columbia. Its Berkley Prime Transportation business provides primary auto liability, auto physical damage and general liability to a broad array of trucking operations.

Continental Western Group is a Midwest regional property and casualty insurance operation based in Des Moines, Iowa, providing underwriting and risk management services to a broad array of regional businesses in thirteen Midwest states. In addition to its generalist portfolio, Continental Western offers specialty underwriting solutions for diversified agriculture, construction, light manufacturing, transportation, volunteer fire departments, rural utilities and public entities.

Gemini Transportation is a national provider of excess liability insurance for various domestic surface transportation businesses, including the railroad industry as well as the trucking, busing and other industries that use rubber-wheeled vehicles for over-the-road use.

Intrepid Direct provides business insurance coverages through a direct distribution model focused on the franchise market, with specialties including the restaurant, garage and fitness industries.

Key Risk specializes in writing workers' compensation insurance for diverse industries including healthcare, human services, transportation, temporary staffing, professional employer organizations and contractors requiring coverage under the United States Longshore and Harbor Workers' Compensation Act (USL&H). Its products are distributed by a select group of independent retail agents and wholesale brokers located throughout the United States.

Nautilus Insurance Group insures excess and surplus lines risks for small to medium-sized commercial risks with low to moderate susceptibility to loss. It writes commercial excess and surplus lines business nationwide and admitted lines commercial business in a limited number of states. A substantial portion of Nautilus' business is written through its close, long-standing network of general agents, who are chosen on a highly selective basis.

Preferred Employers Insurance focuses exclusively on workers' compensation products and services for businesses based in California. It serves thousands of customers covering a broad spectrum of industries throughout the state.    

Union Standard offers preferred commercial property and casualty insurance products and services to a wide range of small to medium size commercial entities with a focus on the construction, farm/ranch, retail and service industries. It operates through independent agents in Arizona, Arkansas, New Mexico, Oklahoma and Texas.

Vela Insurance Services specializes in commercial casualty insurance on an excess and surplus lines basis. Its primary focus is on general liability insurance for construction, manufacturing and general casualty clients as well as products liability and miscellaneous professional liability coverages distributed through wholesale insurance brokers.

Verus Specialty Insurance offers general liability, professional liability and property coverages for small to mid-sized commercial risks in the excess and surplus lines insurance market through a select group of appointed wholesale brokers.

W R B Europe is comprised of specialist businesses offering a focused range of insurance products to markets in Continental Europe.

W / R / B Underwriting provides a broad range of insurance products to the Lloyd's marketplace, with a concentration in specialist classes of business including property, professional indemnity and financial lines.

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    The following table sets forth the percentage of gross premiums written by each Insurance business:

	Year Ended December 31,
	2022	2021	2020
Acadia Insurance	5.2%	5.5%	6.0%
Admiral Insurance	6.2	5.9	5.6
Berkley Accident and Health	5.1	5.0	5.2
Berkley Agribusiness	0.8	0.8	1.2
Berkley Alliance Managers	2.7	2.8	2.8
Berkley Aspire	0.9	0.7	0.5
Berkley Asset Protection	1.0	0.8	0.8
Berkley Canada	1.2	1.2	1.1
Berkley Construction Solutions	0.4	—	—
Berkley Custom Insurance	3.1	3.2	3.5
Berkley Cyber Risk Solutions	0.9	0.8	0.5
Berkley E&S Solutions	—	—	—
Berkley Enterprise Risk Solutions	—	—	—
Berkley Entertainment	1.8	1.8	2.1
Berkley Environmental	5.6	5.2	5.4
Berkley Financial Specialists	0.6	0.6	0.8
Berkley Fire & Marine	0.7	0.8	0.8
Berkley Healthcare	1.8	1.8	1.7
Berkley Human Services	1.1	1.0	1.0
Berkley Industrial Comp	0.7	0.8	0.8
Berkley Insurance Asia	0.8	0.8	0.7
Berkley Insurance Australia	1.7	1.7	1.4
Berkley Latinoamérica	2.9	2.7	2.8
Berkley Life Sciences	0.5	0.5	0.5
Berkley Luxury Group	0.8	0.9	1.1
Berkley Management Protection	0.1	—	—
Berkley Mid-Atlantic Group	1.0	1.3	1.2
Berkley Net Underwriters	2.2	2.1	2.2
Berkley North Pacific	0.7	0.7	0.7
Berkley Offshore Underwriting Managers	1.4	1.5	1.5
Berkley Oil & Gas	3.5	3.0	3.2
Berkley One	1.8	1.2	0.7
Berkley Product Protection	0.3	0.4	0.4
Berkley Professional Liability	5.8	7.5	4.8
Berkley Program Specialists	1.7	2.0	1.7
Berkley Public Entity	0.6	0.6	0.5
Berkley Risk	0.3	0.2	0.3
Berkley Select	1.8	2.0	2.4
Berkley Small Business Solutions	—	—	—
Berkley Southeast	2.2	2.3	2.3
Berkley Surety	1.1	1.1	1.2
Berkley Technology Underwriters	0.6	0.6	0.7
Carolina Casualty	2.1	1.7	0.9
Continental Western Group	2.4	2.5	2.8
Gemini Transportation	3.1	3.0	3.4
Intrepid Direct	1.2	1.1	0.9
Key Risk	2.2	2.5	2.5
Nautilus Insurance Group	4.7	4.5	4.9
Preferred Employers Insurance	1.2	1.5	1.9
Union Standard	1.5	1.7	2.0
Vela Insurance Services	2.5	2.6	2.6
Verus Specialty Insurance	0.8	0.8	0.7
W R B Europe	1.0	1.1	1.0
W/R/B Underwriting	3.6	4.0	4.3
Other	2.1	1.2	2.0
Total	100.0%	100.0%	100.0%

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    The following table sets forth percentages of gross premiums written, by line, by our Insurance operations:

	Year Ended December 31,
	2022	2021	2020
Other liability	37.0%	35.6%	36.0%
Short-tail lines (1)	23.2	22.2	23.3
Professional liability	15.5	17.3	14.6
Workers' compensation	11.7	12.4	14.3
Commercial auto	12.6	12.5	11.8
Total	100.0%	100.0%	100.0%

___________________

(1)Short-tail lines include commercial multi-peril (non-liability), inland marine, accident and health, fidelity and surety, boiler    and machinery and other lines.

Reinsurance & Monoline Excess

We provide other insurance companies and self-insureds with assistance in managing their net risk through reinsurance on either a portfolio basis, through treaty reinsurance, or on an individual basis, through facultative reinsurance. Our monoline excess operations solely retain risk on an excess basis.

Businesses comprising the Reinsurance & Monoline Excess segment are as follows:

Berkley Re America provides treaty and facultative reinsurance solutions on a variety of product lines through reinsurance brokers to companies whose primary operations are within the United States and Canada.

Berkley Re Asia Pacific provides property and casualty reinsurance to the Asia Pacific marketplace. With offices in Brisbane, Sydney, Beijing, Labuan and Singapore, each branch focuses on excess of loss reinsurance, targeting both property and casualty treaty and facultative contracts, through multiple distribution channels.

Berkley Re Solutions is a direct casualty facultative reinsurance underwriter serving clients through a nationwide network of regional offices. Its facultative reinsurance products include automatic, semi-automatic and individual risk assumed reinsurance. It also provides its customers with turnkey products such as cyber, employment practices liability insurance ("EPLI"), liquor liability insurance and violent events coverage to help enhance their clients' product offerings, along with underwriting, claims, and actuarial consultation.

Berkley Re UK writes international property casualty treaty and property facultative accounts. Its territorial scope includes reinsured clients domiciled in the United Kingdom, Europe, Africa, the Middle East and the Caribbean.

Lloyd's Syndicate 2791 Participation represents the Company's minority participation in a Lloyd's syndicate that writes a broad range of mainly short-tail classes of business.

Midwest Employers Casualty provides excess workers' compensation insurance products to individual employers, groups and workers' compensation insurance companies across the United States. Its workers' compensation excess of loss products include self-insured excess of loss coverages and large deductible policies. Through its relationship with Berkley Net Underwriters, Midwest Employers Casualty also offers multi-state coverage for group self-insureds. It has developed sophisticated, proprietary analytical tools and risk management services designed to help its insureds lower their total cost of risk.

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The following table sets forth the percentages of gross premiums written by each Reinsurance & Monoline Excess business:

	Year Ended December 31,
	2022	2021	2020
Berkley Re America	34.6%	31.2%	31.6%
Berkley Re Asia Pacific	15.6	15.4	13.5
Berkley Re Solutions	12.5	13.8	14.4
Berkley Re UK	12.8	13.8	14.7
Lloyd's Syndicate 2791 Participation	6.1	6.8	6.0
Midwest Employers Casualty	18.4	19.0	19.8
Total	100.0%	100.0%	100.0%

The following table sets forth the percentages of gross premiums written, by line, by our Reinsurance & Monoline Excess operations:

	Year Ended December 31,
	2022	2021	2020
Casualty	61.7%	61.8%	58.1%
Property	19.9	19.2	22.1
Monoline Excess	18.4	19.0	19.8
Total	100.0%	100.0%	100.0%

Results by Segment

Summary financial information about our segments is presented on a GAAP basis in the following table:

	Year Ended December 31,
(In thousands)	2022		2021		2020
Insurance
Revenue	$	8,952,493	$	7,578,592	$	6,478,834
Income before income taxes	1,455,658		1,219,798		668,012
Reinsurance & Monoline Excess
Revenue	1,386,639		1,203,647		1,009,203
Income before income taxes	316,527		270,563		205,587
Other (1)
Revenue	827,367		673,227		610,888
Loss before income taxes	(52,504)		(207,456)		(168,797)
Total
Revenue	$	11,166,499	$	9,455,466	$	8,098,925
Income before income taxes	$	1,719,681	$	1,282,905	$	704,802

_______________________________________

(1)Represents corporate revenues and expenses, net investment gains and losses, and revenues and expenses from non-insurance businesses that are consolidated for financial reporting purposes.

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The table below represents summary underwriting ratios on a GAAP basis for our segments. Loss ratio is losses and loss expenses incurred expressed as a percentage of net premiums earned. Expense ratio is underwriting expenses expressed as a percentage of net premiums earned. Underwriting expenses do not include expenses related to insurance services or unallocated corporate expenses. Combined ratio is the sum of the loss ratio and the expense ratio. The combined ratio represents a measure of underwriting profitability, excluding investment income. A number in excess of 100 indicates an underwriting loss; a number below 100 indicates an underwriting profit:

	Year Ended December 31,
	2022		2021		2020
Insurance
Loss ratio	61.3	%	61.1	%	64.9	%
Expense ratio	27.9		28.3		30.3
Combined ratio	89.2	%	89.4	%	95.2	%
Reinsurance & Monoline Excess
Loss ratio	61.3	%	61.0	%	61.3	%
Expense ratio	28.4		29.7		31.8
Combined ratio	89.7	%	90.7	%	93.1	%
Total
Loss ratio	61.3	%	61.1	%	64.5	%
Expense ratio	28.0		28.5		30.4
Combined ratio	89.3	%	89.6	%	94.9	%

Investments

Investment results, before income taxes, were as follows:

	Year Ended December 31,
(In thousands)	2022			2021			2020
Average investments, at cost (1)	$	24,438,112		$	22,234,975		$	20,012,182
Net investment income (1)	$	779,185		$	671,618		$	583,821
Percent earned on average investments (1)	3.2		%	3.0		%	2.9		%
Net investment gains	$	202,397		$	90,632		$	103,000
Change in unrealized investment (losses) gains (2)	$	(1,248,128)		$	(254,939)		$	164,645

_______________________________________

(1)Includes investments, cash and cash equivalents, trading accounts receivable (payable) from brokers and clearing organizations, trading account securities sold but not yet purchased and unsettled purchases.

(2)Represents the change in unrealized investment (losses) gains for available for sale securities recognized in stockholders' equity.

For comparison, the following are the coupon returns for the Barclays U.S. Aggregate Bond Index and the dividend returns for the S&P 500® Index:

	Year Ended December 31,
	2022		2021		2020
Barclays U.S. Aggregate Bond Index	2.7	%	2.3	%	2.8	%
S&P 500® Index	1.3		1.8		1.8

The percentages of the fixed maturity portfolio categorized by contractual maturity, based on fair value, on the dates indicated, are set forth below. Actual maturities may differ from contractual maturities because certain issuers may have the right to call or prepay certain obligations.

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	Year Ended December 31,
	2022	2021	2020
1 year or less	8.7%	9.5%	11.4%
Over 1 year through 5 years	47.2	46.1	38.9
Over 5 years through 10 years	23.4	25.2	25.0
Over 10 years	11.2	12.7	17.4
Mortgage-backed securities	9.5	6.5	7.3
Total	100.0%	100.0%	100.0%

At both December 31, 2022 and 2021, the fixed maturity portfolio, including cash and cash equivalents, had an effective duration of 2.4 years.

Loss and Loss Expense Reserves

To recognize liabilities for unpaid losses, either known or unknown, insurers establish reserves, which is a balance sheet account representing estimates of future amounts needed to pay claims and related expenses with respect to insured events which have occurred. Estimates and assumptions relating to reserves for losses and loss expenses are based on complex and subjective judgments, often including the interplay of specific uncertainties with related accounting and actuarial measurements. Such estimates are also susceptible to change as significant periods of time may elapse between the occurrence of an insured loss, the report of the loss to the insurer, the ultimate determination of the cost of the loss and the insurer’s payment of that loss.

In general, when a claim is reported, claims personnel establish a “case reserve” for the estimated amount of the ultimate payment based upon known information about the claim at that time. The estimate represents an informed judgment based on general reserving practices and reflects the experience and knowledge of the claims personnel regarding the nature and value of the specific type of claim. Reserves are also established on an aggregate basis to provide for losses incurred but not reported (“IBNR”) to the insurer, potential inadequacy of case reserves and the estimated expenses of settling claims, including legal and other fees and general expenses of administrating the claims adjustment process. Reserves are established based upon the then current legal interpretation of coverage provided.

In examining reserve adequacy, several factors are considered in estimating the ultimate economic value of losses. These factors include, among others, historical data, legal developments, changes in social attitudes and economic conditions, including the effects of inflation. The actuarial process relies on the basic assumption that past experience, adjusted judgmentally for the effects of current developments and anticipated trends, is an appropriate basis for predicting future outcomes. Reserve amounts are necessarily based on management’s informed estimates and judgments using currently available data. As additional experience and other data become available and are reviewed, these estimates and judgments may be revised. This may result in reserve increases or decreases that would be reflected in our results in periods in which such estimates and assumptions are changed.

The risk and complexity of estimating loss reserves are greater when economic conditions are uncertain. It is especially difficult to estimate the impact of inflation on loss reserves given the current economic environment and related government actions. Whereas a slowing economy would generally lead to lower inflation or even deflation, increased government spending would generally lead to higher inflation. A change in our assumptions regarding inflation would result in reserve increases or decreases that would be reflected in our earnings in periods in which such assumptions are changed.

Reserves do not represent an exact calculation of liability. Rather, reserves represent an estimate of what management expects the ultimate settlement and claim administration will cost. While the methods for establishing the reserves are well tested over time, some of the major assumptions about anticipated loss emergence patterns are subject to unanticipated fluctuation. These estimates, which generally involve actuarial projections, are based on management’s assessment of facts and circumstances then known, as well as estimates of trends in claims severity and frequency, judicial theories of liability and other factors, including the actions of third parties, which are beyond the Company’s control. These variables are affected by external and internal events, such as inflation and economic volatility, judicial and litigation trends, reinsurance coverage, legislative changes and claim handling and reserving practices, which make it more difficult to accurately predict claim costs. The inherent uncertainties of estimating reserves are greater for certain types of liabilities where long periods of time elapse before a definitive determination of liability is made. Although the loss reserves included in the Company’s financial statements represent management’s best estimates, setting reserves is inherently uncertain and the Company cannot provide assurance that its current reserves will prove adequate in light of subsequent events.

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The Company discounts its liabilities for certain workers’ compensation reserves. The amount of workers’ compensation reserves that were discounted was $1,267 million and $1,387 million at December 31, 2022 and 2021, respectively. The aggregate net discount for those reserves, after reflecting the effects of ceded reinsurance, was $416 million and $452 million at December 31, 2022 and 2021, respectively. At December 31, 2022, discount rates by year ranged from 0.7% to 6.5%, with a weighted average discount rate of 3.4%.

Substantially all discounted workers’ compensation reserves (97% of total discounted reserves at December 31, 2022) are excess workers’ compensation reserves. In order to properly match loss expenses with income earned on investment securities supporting the liabilities, reserves for excess workers’ compensation business are discounted using risk-free discount rates determined by reference to the U.S. Treasury yield curve. These rates are determined annually based on the weighted average rate for the period. Once established, no adjustments are made to the discount rate for that period, and any increases or decreases in loss reserves in subsequent years are discounted at the same rate, without regard to when any such adjustments are recognized. The expected loss and loss expense payout patterns subject to discounting are derived from the Company’s loss payout experience.  

The Company also discounts reserves for certain other long-duration workers’ compensation reserves (representing approximately 3% of total discounted reserves at December 31, 2022), including reserves for quota share reinsurance and reserves related to losses regarding occupational lung disease. These reserves are discounted at statutory rates permitted by the Department of Insurance of the State of Delaware.

To date, known environmental and asbestos claims have not had a material impact on the Company’s operations, because its subsidiaries generally did not insure large industrial companies that are subject to significant environmental or asbestos exposures prior to 1986 when an absolute exclusion was incorporated into standard policy language.

The Company’s net reserves for losses and loss expenses relating to environmental and asbestos claims on policies written before adoption of the absolute exclusion was $20 million at both December 31, 2022 and 2021. The estimation of these liabilities is subject to significantly greater than normal variation and uncertainty because it is difficult to make an actuarial estimate of these liabilities due to the absence of a generally accepted actuarial methodology for these exposures and the potential effect of significant unresolved legal matters, including coverage issues, as well as the cost of litigating the legal issues. Additionally, the determination of ultimate damages and the final allocation of such damages to financially responsible parties are highly uncertain.

The table below provides a reconciliation of the beginning of year and end of year property casualty reserves for the indicated years:

(In thousands)	2022		2021		2020
Net reserves at beginning of year	$	12,848,362	$	11,620,393	$	10,697,998
Cumulative effect adjustment resulting from changes in accounting principles (1)	—		—		5,927
Restated net reserves at beginning of period	12,848,362		11,620,393		10,703,925
Net provision for losses and loss expenses:
Claims occurring during the current year (2)	5,774,713		4,921,191		4,432,937
Increase in estimates for claims occurring in prior years (3)	54,511		863		627
Loss reserve discount amortization	32,526		31,906		35,142
Total	5,861,750		4,953,960		4,468,706
Net payments for claims:
Current year	1,068,577		887,896		921,054
Prior years	3,279,333		2,777,798		2,677,595
Total	4,347,910		3,665,694		3,598,649
Foreign currency translation	(113,323)		(60,297)		46,411
Net reserves at end of year	14,248,879		12,848,362		11,620,393
Ceded reserves at end of year	2,762,344		2,542,526		2,164,037
Gross reserves at end of year	$	17,011,223	$	15,390,888	$	13,784,430
Net change in premiums and losses occurring in prior years:
Increase in estimates for claims occurring in prior years (3)	$	(54,511)	$	(863)	$	(627)
Retrospective premium adjustments for claims occurring in prior years (4)	18,106		7,510		16,807
Net premium and reserve development on prior years	$	(36,405)	$	6,647	$	16,180

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____________________________________

(1)The cumulative effect adjustment resulting from changes in accounting principles relates to the allowance for expected credit losses on reinsurance recoverables that commenced on January 1, 2020 due to the adoption of ASU 2016-13.

(2)Claims occurring during the current year are net of loss reserve discounts of $35 million, $21 million and $10 million in 2022, 2021 and 2020, respectively.

(3)The change in estimates for claims occurring in prior years is net of loss reserve discount. On an undiscounted basis, the estimates for claims occurring in prior years increased by $16 million in 2022, and decreased by $19 million in 2021 and $21 million in 2020, respectively.

(4)For certain retrospectively rated insurance policies and reinsurance agreements, changes in loss and loss expenses for prior years are offset by additional or return premiums.

Also, see Item 7, “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and note 14, Reserves for Losses and Loss Expenses included in our audited consolidated financial statements for further information regarding the changes in estimates for claims occurring in prior years.

A reconciliation between the reserves as of December 31, 2022 as reported in the accompanying consolidated GAAP financial statements and those reported on the basis of statutory accounting principles (“SAP”) in the Company’s U.S. regulatory filings is as follows:

(In thousands)
Net reserves reported in U.S. regulatory filings on a SAP basis	$	13,640,489
Reserves for non-U.S. companies	679,246
Loss reserve discounting (1)	(78,336)
Ceded reserves	2,762,344
Allowance for expected credit losses on due from reinsurers	7,480
Gross reserves reported in the consolidated GAAP financial statements	$	17,011,223

_________________________

(1)For statutory purposes, the Company discounts its workers’ compensation reinsurance reserves at 2.5% as prescribed or permitted by the Department of Insurance of the State of Delaware. In its GAAP financial statements, the Company discounts excess workers’ compensation reserves at the risk-free rate and assumed workers’ compensation reserves at the statutory rate.

Reinsurance

We follow a common industry practice of reinsuring a portion of our exposures and paying to reinsurers a portion of the premiums received on the policies that we write. Reinsurance is purchased principally to reduce net liability on individual risks and to protect against catastrophic losses. Although reinsurance does not legally discharge an insurer from its primary liability for the full amount of the policies, it does make the assuming reinsurer contractually liable to the insurer to the extent of the reinsurance coverage. We monitor the financial condition of our reinsurers and attempt to place our coverages only with substantial, financially sound carriers. As a result, generally the reinsurers who reinsure our casualty insurance must have an A.M. Best rating of “A (Excellent)” or better with at least $1 billion in policyholder surplus and the reinsurers who cover our property insurance must have an A.M. Best rating of “A- (Excellent)” or better with at least $1 billion in policyholder surplus.

Regulation

U.S. Regulation 

Our U.S. insurance subsidiaries are principally regulated by their domiciliary state insurance departments and are subject to varying degrees of regulation and supervision in the other U.S. jurisdictions in which they do business. As of January 1, 2023, there are six domiciliary states related to our U.S. insurance subsidiaries.

Overview. Our domestic insurance subsidiaries are subject to statutes which delegate regulatory, supervisory and administrative powers to state insurance commissioners. This regulation relates to such matters as the standards of solvency which must be met and maintained; the licensing of insurers and their agents; the nature of and limitations on investments; deposits of securities for the benefit of policyholders; approval of certain policy forms and premium rates; periodic examination of the affairs of insurance companies; annual and other reports required to be filed on the financial condition of insurers or for other purposes; establishment and maintenance of reserves for unearned premiums, loss expenses and losses; and requirements regarding numerous other matters. Our property casualty subsidiaries, other than our excess and surplus lines and reinsurance subsidiaries, must generally file all rates with the insurance department of each state in which they operate. Our excess and

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surplus lines and reinsurance subsidiaries generally operate free of rate and form regulation.

Legislative and Regulatory Activity Related to the COVID-19 Pandemic. In response to the outbreak of the COVID-19 pandemic in 2020, legislators in several states and in the United States Congress introduced proposals that would have mandated insurance coverage for certain pandemic-related losses, including business interruption losses, under previously-issued policies that were not designed or priced to provide such coverage. Federal lawmakers also discussed the possibility of a public-private partnership, and there appears to have been a broadly held and bipartisan consensus that pandemic risk is generally uninsurable absent some kind of publicly-funded backstop. While these state and federal proposals have not meaningfully progressed, there remains a risk that they might be revived, or that future variants of COVID-19 or concerns about the possibility of a future pandemic might prompt similar legislative and regulatory proposals. See “Risk Factors — Risks Related to Our Industry — The COVID-19 pandemic has materially and adversely affected our results of operations, and is expected to continue and therefore may materially and adversely affect our results of operations, financial position and liquidity.”

Holding Company Statutes. In addition to regulatory supervision of our insurance subsidiaries, we are subject to state statutes governing insurance holding company systems. Under the terms of applicable state statutes, any person or entity desiring to purchase more than a specified percentage (commonly 10%) of our outstanding voting securities would be required to obtain prior regulatory approval of the purchase. Typically, such statutes require that we periodically file information with the appropriate domiciliary state insurance commissioner, including information concerning our capital structure, ownership, financial condition and general business operations.

We must also annually submit to the lead state regulator for our group an “enterprise risk management report” which identifies the activities and circumstances of any affiliated company that might have a material adverse effect on the financial condition of our group or our U.S. licensed insurers.

In addition, all states have adopted changes to the holding company act that authorize U.S. insurance regulators to lead or participate in the group-wide supervision of certain international insurance groups. In November 2019, the International Association of Insurance Supervisors (“IAIS”), an international standard setter, adopted a global framework for the supervision of internationally active insurance groups, as discussed below under “International Regulation.” This framework includes a risk-based, group-wide global insurance capital standard (“ICS”), which is undergoing a five-year monitoring period that started in January 2020.

In the United States, the National Association of Insurance Commissioners (the “NAIC”) has developed a group capital calculation tool that uses a risk-based capital aggregation methodology for all entities in an insurance holding company system. The goal is to provide U.S. regulators with a method to aggregate the available capital and the minimum capital of each entity in a group in a way that applies to all companies regardless of their structure. In 2020, the NAIC adopted amendments to the model holding company act and regulation that implement the group capital calculation by requiring the ultimate controlling person of an insurer subject to holding company registration to file the group capital calculation with its lead state regulator. The annual filing requirement will become effective once the states have adopted the NAIC holding company amendments. This annual filing requirement became effective in Delaware, our lead state insurance regulator, on February 7, 2022.

All states have adopted the NAIC's Risk Management and Own Risk and Solvency Assessment Model Act (the “ORSA Model Act”), which requires an insurance holding company system’s chief risk officer to submit annually to its lead state insurance regulator an Own Risk and Solvency Assessment Summary Report (“ORSA Report”). The ORSA Report is a confidential internal assessment of the material and relevant risks associated with an insurer’s current business plan and the sufficiency of capital resources to support those risks. Under the ORSA Model Act, as enacted by the states, we are required to:

•regularly, no less than annually, conduct an ORSA to assess the adequacy of our risk management framework, and current and estimated projected future solvency position;

•internally document the process and results of the assessment; and

•provide an ORSA Report annually to the State of Delaware's Insurance Commissioner.

Cybersecurity Regulations. New York’s cybersecurity regulation applies to financial services institutions authorized by the New York State Department of Financial Services (the “NYDFS”), including our insurance subsidiaries licensed in New York. The regulation requires these entities to assess risks associated with their information systems and establish and maintain a cybersecurity program reasonably designed to protect consumers’ private data and the confidentiality, integrity and availability of the licensee’s information systems. In November 2022, the NYDFS proposed amendments to New York’s cybersecurity regulation, which, if adopted, would require additional reporting, governance and oversight measures to be implemented.

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The NAIC has adopted the Insurance Data Security Model Law (the “Cybersecurity Model Law”) for consideration by state legislatures, which, when adopted by the states, establishes standards for data security, the investigation of cybersecurity events involving unauthorized access to, or the misuse of, certain nonpublic information, and reporting to insurance commissioners. The Cybersecurity Model Law imposes significant regulatory burdens intended to protect the confidentiality, integrity and availability of information systems. As of December 31, 2022, the Cybersecurity Model Law, or a form thereof, had been adopted by several states, including three of our U.S. insurance subsidiaries’ domiciliary states. A drafting note in the Cybersecurity Model Law states that a licensee’s compliance with New York's cybersecurity regulation is intended to constitute compliance with the Cybersecurity Model Law, but compliance remains a state-by-state issue and we would need to consider any differences in implementation and enforcement of the Cybersecurity Model Law as part of our compliance efforts. Additionally, the Federal Trade Commission amended the “Standards for Safeguarding Customer Information Rules (otherwise known as the “Safeguards Rule”) in 2021 to require covered financial institutions to implement certain data security measures and practices in their information security programs. Many of the requirements of the amended Safeguards Rule are similar to New York's cybersecurity regulation and the Cybersecurity Model Law, but there are some differences that may impose increased operational burdens and compliance costs. The amended Safeguards Rule will become effective in June 2023.

Certain other states are also developing or have developed regulations related to privacy and data security. For example, the California Consumer Privacy Act (“CCPA”), which became effective in January 2020, broadly regulates the collection, processing and disclosure of California residents’ personal information, imposes limits on the “sale” of personal information and grants California residents certain rights to, among other things, access and delete data about them in certain circumstances. The CCPA also established a private right of action, with potentially significant statutory damages, whereby businesses that fail to implement reasonable security measures to protect against breaches of personal information could be liable to affected consumers. California subsequently enacted the California Privacy Rights Act (“CPRA”), which came into full effect in January 2023. The CPRA amends the CCPA by imposing additional limitations and obligations with respect to covered businesses’ use and sharing of certain personal data. Compliance with the CCPA/CPRA may increase the cost of providing our products and services in California. Other states have considered – and some states have adopted - similar proposals. For instance, Virginia enacted a data privacy law in 2021 that became effective in January 2023. Additionally, Colorado, Connecticut and Utah have enacted data privacy laws that will come into effect later in 2023. These laws establish in those states many of the same data privacy and security requirements as other existing laws, such as the CCPA.

We cannot predict the impact, if any, that any current, proposed or future federal or state cybersecurity laws or regulations will have on our business, financial condition or results of operations.

Risk-Based Capital Requirements. The NAIC utilizes a Risk-Based Capital (“RBC”) formula that is designed to measure the adequacy of an insurer's statutory surplus in relation to the risks inherent in its business. The RBC formula develops a risk adjusted target level of adjusted statutory capital by applying certain factors to various asset, premium and reserve items. The NAIC RBC Model Law provides for four incremental levels of regulatory attention for insurers whose surplus is below the calculated RBC target. These levels of attention range in severity from requiring the insurer to submit a plan for corrective action to actually placing the insurer under regulatory control. The RBC of each of our domestic insurance subsidiaries was above the calculated RBC target level as of December 31, 2022. 

Insurance Regulatory Information System. The NAIC also has developed a set of 13 financial ratios for property and casualty insurers referred to as the Insurance Regulatory Information System (“IRIS”). On the basis of statutory financial statements filed with state insurance regulators, the NAIC annually calculates these IRIS ratios to assist state insurance regulators in monitoring the financial condition of insurance companies. The NAIC has established an acceptable range for each of the IRIS financial ratios.

Guaranty Funds. Our U.S. insurance subsidiaries are also subject to assessment by state guaranty funds in states where we transact admitted business when an insurer in a particular jurisdiction has been judicially declared insolvent and the insolvent company's available funds are insufficient to pay policyholders and claimants the amounts to which they are entitled. The protection afforded under a state's guaranty fund to policyholders of the insolvent insurer varies from state to state. Generally, all licensed property casualty insurers are considered to be members of the fund, and assessments are based upon their pro rata share of direct written premiums in that state. The NAIC Post-Assessment Property and Liability Insurance Guaranty Association Model Act, a version of which has been adopted by all states, limits assessments to 2% of an insurer’s subject premiums and permits recoupment of assessments through rate setting. Likewise, several states (or underwriting organizations of which our insurance subsidiaries are required to be members) have limited assessment authority with regard to deficits in certain lines of business.

Additionally, state insurance laws and regulations require us to participate in mandatory property-liability “shared market,” “pooling” or similar arrangements that provide certain types of insurance coverage to individuals or others who otherwise are unable to purchase coverage voluntarily provided by private insurers. Shared market mechanisms include assigned risk plans and fair access to insurance requirement or “FAIR” plans. In addition, some states require insurers to

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participate in reinsurance pools for claims that exceed specified amounts. Our participation in these mandatory shared market or pooling mechanisms generally is related to the amount of our direct writings for the type of coverage written by the specific mechanism in the applicable state. 

Dividends. We receive funds from our insurance company subsidiaries in the form of dividends and management fees for certain management services. Annual dividends in excess of maximum amounts prescribed by state statutes may not be paid without the approval of the insurance commissioner of the state in which an insurance subsidiary is domiciled. See “Management's Discussion and Analysis of Financial Condition and Results of Operations-Liquidity and Capital Resources.” 

Trade Practices. State insurance laws and regulations include numerous provisions governing trade practices and the marketplace activities of insurers, including provisions governing marketing and sales practices, policyholder services, claims management and complaint handling. State regulatory authorities generally enforce these provisions through periodic market conduct examinations.

Investment Regulation. Investments by our domestic insurance companies must comply with applicable laws and regulations which prescribe the kind, quality and concentration of investments. In general, these laws and regulations permit investments in federal, state and municipal obligations, corporate bonds, preferred and common equity securities, mortgage loans, real estate and certain other investments, subject to specified limits and certain other qualifications. Investments that do not comply with these limits and qualifications are deducted in our insurance subsidiaries' calculation of their statutory capital and surplus.

Terrorism Risk Insurance. The Terrorism Risk Insurance Act of 2002 established a Federal program that provides for a system of shared public and private compensation for insured losses resulting from acts of terrorism. Pursuant to the Terrorism Risk Insurance Program Reauthorization Act of 2019 (“TRIPRA”), the program was extended until December 31, 2027.

TRIPRA provides a federal backstop to all U.S. based property and casualty insurers for insurance related losses resulting from any act of terrorism on U.S. soil or against certain U.S. air carriers, vessels or foreign missions. TRIPRA is applicable to almost all commercial lines of property and casualty insurance but excludes commercial auto, burglary and theft, surety, professional liability and farm owners' multi-peril insurance. Insurers with direct commercial property and casualty insurance exposure in the United States are required to participate in the program and make available coverage for certified acts of terrorism. TRIPRA's definition of certified acts includes domestic terrorism. Federal participation will be triggered under TRIPRA when the Secretary of Treasury certifies an act of terrorism.

Under the program, the federal government will pay 80% of an insurer's covered losses in excess of the insurer's applicable deductible. The insurer's deductible is calculated as 20% of earned premium for the prior year for covered lines of commercial property and casualty insurance. Based on our 2022 earned premiums, our aggregate deductible under TRIPRA during 2023 will be approximately $1,310 million. The federal program will not pay losses for certified acts unless such losses exceed $200 million industry-wide for any calendar year after 2020. TRIPRA limits the federal government's share of losses at $100 billion for a program year. In addition, an insurer that has satisfied its deductible is not liable for the payment of losses in excess of the $100 billion cap.

Excess and Surplus Lines. The regulation of our U.S. subsidiaries' excess and surplus lines insurance business differs significantly from the regulation of our admitted business. Our surplus lines subsidiaries are subject to the surplus lines regulation and reporting requirements of the jurisdictions in which they are eligible to write surplus lines insurance. Although surplus lines business is generally less regulated than admitted business, principally with respect to rates and policy forms, strict regulations apply to surplus lines placements in the laws of every state and the regulation of surplus lines insurance may undergo changes in the future. Federal or state measures may be introduced to increase the oversight of surplus lines insurance in the future.

Climate Change and Financial Risks. The NAIC and state insurance regulators are evaluating issues related to the topic of climate risk. The NAIC’s goal is to address climate-related risks through three areas of insurance regulation: financial risk analysis; insurance market availability and affordability; and consumer education and outreach. In New York, the NYDFS issued a circular letter in September 2020 that applies to both New York domestic and foreign authorized insurers, such as our insurance subsidiaries licensed in New York. The circular letter states that the NYDFS expects these insurers to integrate financial risks related to climate change into their governance frameworks, risk management processes, business strategies and scenario analysis, and develop their approach to climate-related financial disclosure. For example, an insurer should designate a board member or board committee, as well as a senior management function, to oversee the management of financial risks associated with climate change. The NYDFS also adopted an amendment to the regulation governing enterprise risk management, which applies to our insurance subsidiaries licensed in New York, that requires an insurance group's enterprise risk management function to address certain additional risks, including climate change risk.

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In addition, the Federal Insurance Office (the “FIO”) is authorized to monitor the U.S. insurance industry under the Dodd-Frank Wall Street Reform and Consumer Protection Act of 2010 (the “Dodd-Frank Act”), as discussed below under “Federal Regulation.” The FIO is assessing how the insurance sector may help mitigate climate-related risks and achieve national climate-related goals.

Diversity and Corporate Governance.The NAIC and state insurance regulators are evaluating issues related to diversity within the insurance industry, such as the diversity of an insurer’s board of directors and management. The NAIC is also examining practices in the insurance industry in order to determine how barriers are created that disadvantage or discriminate against people of color or historically underrepresented groups. On March 16, 2021, the NYDFS issued a circular letter stating that it expects the insurers it regulates, such as our insurance subsidiaries licensed in New York, to make diversity of their leadership a business priority and a key element of their corporate governance. See “Human Capital Resources” below.

Federal Regulation. The federal government and its regulatory agencies generally do not directly regulate the business of insurance, although federal initiatives could have an impact on our business in a variety of ways. The Dodd-Frank Act effected sweeping changes to financial services regulation in the United States, and created two new federal government bodies, the FIO and the Financial Stability Oversight Council (the “FSOC”). The FIO does not have general supervisory or regulatory authority over the business of insurance, although it has preemption authority over state insurance laws that conflict with certain international agreements, as discussed below. The FIO also has authority to represent the United States in international insurance matters and is authorized to monitor the U.S. insurance industry and identify potential regulatory gaps that could contribute to systemic risk. The Economic Growth, Regulatory Relief and Consumer Protection Act addresses the roles played by federal regulators at international insurance standard-setting forums, and it directs the Director of the FIO and the Board of Governors of the Federal Reserve to support increased transparency at international standard-setting regulatory forums (e.g., the IAIS). These federal regulations also instruct the FIO and the Federal Reserve to achieve consensus positions with the states through the NAIC prior to taking a position on any insurance proposal by a global insurance regulatory forum.

The Dodd-Frank Act authorizes the Secretary of the Treasury and U.S. Trade Representative to enter into international agreements of mutual recognition regarding the prudential regulation of insurance or reinsurance. The U.S. and the European Union ("EU") signed such a covered agreement (the "EU Covered Agreement") in September 2017. The EU Covered Agreement addresses three areas of prudential supervision: reinsurance, group supervision and the exchange of information between the U.S. and EU. Under the EU Covered Agreement, reinsurance collateral requirements no longer apply to qualifying EU reinsurers that sell reinsurance to the U.S. market, and U.S. reinsurers operating in the EU market are no longer subject to “local presence” requirements. The EU Covered Agreement establishes group supervision practices that apply only to U.S. and EU insurance groups operating in both territories. For instance, the EU Covered Agreement states that, provided the U.S. has adopted group supervision including worldwide group governance, solvency, capital and reporting, U.S.-headquartered insurance groups with operations in the EU will be supervised at the worldwide level only by U.S. insurance regulators, thereby precluding EU insurance supervisors from exercising solvency and capital requirements over the worldwide operations of those insurers.

In December 2018, the U.S. Department of the Treasury and the Office of the U.S. Trade Representative entered into a covered agreement with the U.K. (the “U.K. Covered Agreement,” and together with the EU Covered Agreement, the “Covered Agreements”) in anticipation of the U.K.’s exit from the EU. The U.K. Covered Agreement largely reflects the provisions of the EU Covered Agreement and incorporates the same timeframes within it.

Under the Dodd-Frank Act, the FIO has preemption authority over state insurance laws that conflict with the Covered Agreements as of September 1, 2022, such as state credit for reinsurance laws that result in non-U.S. reinsurers subject to the Covered Agreements being treated less favorably than U.S. reinsurers. The NAIC previously adopted amendments to its Credit for Reinsurance Model Law to satisfy the substantive and timing requirements of the Covered Agreements, which amendments have been enacted by all states. On September 30, 2022, the FIO reported that it did not recommend taking any preemption action as a result of inconsistency between the Covered Agreements and state credit for reinsurance laws, although it is still monitoring state measures implementing the NAIC’s revisions to the Credit for Reinsurance Model Law. The FIO plans to publish an update to its preemption report during 2023. The amended Credit for Reinsurance Model Law also extends the zero reinsurance collateral provisions in the Covered Agreements to qualified reinsurers domiciled in U.S. jurisdictions that are accredited by the NAIC and to non-U.S. jurisdictions that have not entered into a covered agreement with the U.S. but which the NAIC has identified as “reciprocal jurisdictions” pursuant to the NAIC Qualified Jurisdiction Process.

We cannot currently predict the impact of these changes to the law or whether any other covered agreements will be successfully adopted, and cannot currently estimate the impact of these changes to the law and any such adopted covered agreements on our business, financial condition or operating results.

The FIO also can recommend that the FSOC designate an insurer as an entity posing risks to the United States’ financial stability in the event of the insurer’s material financial distress or failure, i.e., a “systemically important financial institution” or a “non-bank SIFI.” An insurer so designated by the FSOC will be subject to Federal Reserve supervision and

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heightened prudential standards. There are currently no such non-bank SIFIs designated by the FSOC. The FSOC changed its process for designating non-bank SIFIs, effective in January 2020, by adopting an activities-based approach and moving away from the entities-based approach.

Based upon our current business model and balance sheet, we do not believe that we will be designated by the FSOC as such an institution. Although the potential impact of any future amendments to the Dodd-Frank Act on the U.S. insurance industry is not clear, our business could be affected by changes to the U.S. system of insurance regulation or our designation or the designation of insurers or reinsurers with which we do business as systemically important non-bank financial companies.

International Regulation

Our insurance subsidiaries based in the United Kingdom are regulated by the Prudential Regulation Authority (“PRA”) and/or the Financial Conduct Authority (“FCA”). The PRA’s primary objectives with regard to insurers are to promote the safety and soundness of insurers and to contribute to the securing of an appropriate degree of protection for current and future policyholders. The FCA has three operational objectives: (i) to secure an appropriate degree of protection for consumers, (ii) to protect and enhance the integrity of the United Kingdom’s financial system, and (iii) to promote effective competition in the interests of consumers in the financial services markets. The PRA and FCA employ a variety of regulatory tools to achieve their objectives, including periodic auditing and reporting requirements, risk assessment reviews, minimum solvency margins and individual capital assessment requirements, dividend restrictions, in certain cases, approval requirements governing the appointment of key officers, approval requirements governing controlling ownership interests and various other requirements.

Our Lloyd’s managing agency is also regulated by Lloyd’s, and the Lloyd’s syndicate business is subject to Lloyd’s supervision. Through Lloyd’s, we are licensed to write business in various countries throughout the world by virtue of Lloyd’s international licenses. In each such country, we are subject to the laws and insurance regulation of that country. Our insurance subsidiary based in Liechtenstein is regulated by the Financial Market Authority of Liechtenstein ("FMA"), which has regulatory tools analogous to those of the U.K. regulators noted above.

Additionally, U.K. and Liechtenstein laws and regulations also impact us as “controllers” of our European-regulated subsidiaries, whereby we are required to notify the appropriate authorities about significant events relating to such regulated subsidiaries’ controllers (i.e. persons or entities which have certain levels of direct or indirect voting power or economic interests in the regulated entities) as well as changes of control, and to submit annual reports regarding their controllers. The PRA/FCA’s Senior Managers and Certification Regime and analogous regulation in Liechtenstein further provide regulatory frameworks for standards of fitness and propriety, conduct and accountability for individuals in positions of responsibility at insurers. In addition, certain employees are individually registered at Lloyd’s.

Our insurance business throughout the EU and EEA is subject to “Solvency II,” an insurance regulatory regime governing, among other things, capital adequacy and risk management. Following the U.K.’s withdrawal from the EU, or Brexit, our Lloyd’s managing agency (and the U.K. branch of our Liechtenstein subsidiary) are now subject to a separate U.K. prudential regime, which is broadly identical to Solvency II from January 1, 2021. However, the two regimes are likely to diverge in the near future. The U.K. has undertaken a review of Solvency II and of the regulatory regime applicable to U.K. authorized insurers and reinsurers.

Following this review, on November 17, 2022, the U.K.’s HM Treasury published a finalized package of proposed reforms to the U.K.’s prudential regime, which covers a range of areas including the risk margin, matching adjustment requirements and regulatory reporting obligations. These reforms will be reflected in new U.K. legislation and regulation.

Similarly, the European Commission has undertaken its own review of Solvency II and, on September 22, 2021, published a package of proposed legislative reforms for amending the existing regulatory framework. The European Council published its agreed position on the European Commission’s proposed reforms in June 2022, which it is currently negotiating with the European Parliament, although the full extent of the changes will only be known once the package of legislative reforms is finalized.

Solvency II provides for the supervision of group solvency. Under Solvency II, it is possible that the U.S. parent of a European Union subsidiary could be subject to certain Solvency II requirements if the U.S. company is not already subject to regulations deemed “equivalent” to Solvency II. Currently, the U.S. system of insurance regulation relating to group supervision is not deemed “equivalent” to Solvency II by European Union authorities. The PRA will also perform separate, but comparable, supervision of group solvency under the U.K.’s own domestic prudential regime where a U.S. holding company is a parent of a subsidiary U.K. insurer or reinsurer.

The Liechtenstein financial services regulator, the FMA, is the group supervisor for our European-regulated subsidiaries. However, the Covered Agreements prohibit any EU supervisor or the PRA (as applicable) from exercising group-wide supervision at any level above the highest company organized in the country of that supervisor.

We must also comply with the EU General Data Protection Regulation (EU) 2016/879) (“GDPR”), which took effect

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in May 2018. The regulation’s goal is to impose increased individual rights and protections for all personal data located in or originating from the EU. The Data Protection Act 2018 and the U.K. General Data Protection Regulation, which is the retained EU law version of the GDPR by virtue of the European Union (Withdrawal) Act 2018 and as amended by the Data Protection, Privacy and Electronic Communications (Amendments etc.) (EU Exit) Regulations 2019 (together, “U.K. GDPR”), regulate data protection for all individuals within the U.K. Both the GDPR and the U.K. GDPR are extraterritorial in that they apply to all businesses in the EU and the U.K. respectively and any business outside the EU and the U.K. that process EU and/or U.K. personal data of individuals in the EU and/or the U.K. Moreover, there are significant fines associated with non-compliance. In particular, we need to monitor our compliance with all relevant member states’ laws and regulations, including where permitted derogations from the GDPR and the U.K. GDPR are introduced. The introduction of the GDPR and the U.K. GDPR, and any resultant changes in EU member states’ or U.K. national laws and regulations, has increased our compliance obligations and has necessitated the review and implementation of policies and processes relating to our collection and use of data, and has required us to change our business practices regarding these matters.

In addition, we may become subject to or affected by regulatory policies adopted by the IAIS, an international standard setter consisting of supervisors and regulators from more than 200 jurisdictions. The IAIS has been working on several initiatives to consider changes to insurer solvency standards and group supervision of companies in a holding company system in response to the increasing globalization of the insurance sector. In November 2019, the IAIS formally adopted a global framework for the supervision of internationally active insurance groups (“IAIGs”), which is referred to as the Common Framework for the Supervision of Internationally Active Insurance Groups, or “ComFrame.” ComFrame is intended to provide a framework of basic standards for IAIGs and a process for supervisors to cooperate in the supervision of IAIGs. Also in November 2019, the IAIS adopted a risk-based group-wide global insurance capital standard (“ICS”) that will apply to IAIGs and ultimately form a part of ComFrame. The ICS commenced a five-year monitoring period in January 2020 which is being used for confidential reporting and discussion in supervisory colleges to provide feedback to the IAIS on the ICS’s design and performance, but will not trigger any supervisory action. Following this monitoring period, the ICS is expected to be implemented in 2025 as a group-wide prescribed capital requirement for IAIGs and integrated into the rest of ComFrame. As noted above under “U.S. Regulation,” it is unclear how the development of the ICS will interact with existing capital requirements for insurance companies in the United States and the NAIC’s development of the group capital calculation.

Our international operations are also subject to varying degrees of regulation in Mexico, Australia and Canada and in certain other countries in Europe, South America, and Southeast Asia. Generally, our subsidiaries must satisfy local regulatory requirements. While each country imposes licensing, solvency, auditing and financial reporting requirements, the type and extent of the requirements differ substantially. Key areas where country regulations may differ include: (i) the type of financial reports to be filed; (ii) a requirement to use local intermediaries; (iii) the amount of reinsurance permissible; (iv) the scope of any regulation of policy forms and rates; and (v) the type and frequency of regulatory examinations.

Competition 

The property casualty insurance and reinsurance businesses are highly competitive, with many insurance companies of various sizes, as well as other entities offering risk alternatives such as self-insured retentions or captive programs, transacting business in the United States and internationally. We compete directly with a large number of these companies. Competition in our industry is largely measured by the ability to provide insurance and services at a price and on terms that are reasonable and acceptable to the customer. Our strategy in this highly fragmented industry is to seek specialized areas or geographic regions where our businesses can gain a competitive advantage by responding quickly to changing market conditions. Our businesses establish their own pricing practices based upon a Company-wide philosophy to price products with the intent of making an underwriting profit.

Competition for insurance business within the United States comes from other specialty insurers, regional carriers, large national multi-line companies and reinsurers. Our specialty businesses compete with excess and surplus insurers as well as standard carriers. Our regional businesses compete with mutual and other regional stock companies as well as national carriers. Additionally, direct writers of property casualty insurance compete with our regional businesses by writing insurance through their salaried employees, generally at a lower acquisition cost than through independent agents such as those used by the Company. We compete internationally with native insurance operations both large and small, which in some cases are related to government entities, as well as with branches or local subsidiaries of multinational companies.

Competition for reinsurance business, which is especially strong, comes from domestic and foreign reinsurers, which produce their business either on a direct basis or through the broker market. These competitors include Swiss Re, Munich Re, Berkshire Hathaway, Partner Re and others.

In recent years, various institutional investors have increasingly sought to participate in the property and casualty insurance and reinsurance industries. Well-capitalized new entrants to the property and casualty insurance and reinsurance industries, or existing competitors that receive substantial infusions of capital, provide increasing competition, which may

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adversely impact our business and profitability. Further, an expanded supply of reinsurance capital may lower costs for insurers that rely on reinsurance and, as a consequence, those insurers may be able to price their products more competitively.

Human Capital Resources 

As of January 15, 2023, we employed 8,186 individuals. Of this number, our subsidiaries employed 8,049 individuals and the remaining individuals were employed at the parent company.

We believe that our people are our greatest asset and that our corporate culture is the most important intangible driver of long-term value creation for our Company and the highest priority for pursuing long-term risk-adjusted returns and growth in stockholder value.

Human Capital Management: The Company fosters a performance culture. We are focused on creating a respectful, rewarding, diverse, and inclusive work environment that allows our employees to build meaningful and productive careers. The success of these human capital management objectives is essential to our strategy, as it is our people who drive our success. We invest in their growth as individuals and professionals through training and engagement, as well as in their well-being through robust health and wellness programs and a commitment to diversity.

The Company provides developmental opportunities for our employees through formal and informal programs that focus on enabling employees to build skills and thought leadership in specific facets of our business. Our leadership programs cultivate the talent of our high-potential, strong-performing employees as we strive to deepen, enhance and diversify the Company’s leadership team.

We strive to align employee incentives with the risk and performance frameworks of the Company. The Company’s “pay for performance” philosophy connects individual, business and Company results to employee compensation, providing employees with opportunities to share in the Company’s overall growth and success. The Company offers employees a comprehensive benefits package, including health and wellness, financial, educational and life management benefits. In addition, we support employees in making an impact in their local communities and globally through environmental and social efforts that are meaningful to them.

Our Board of Directors engages with our senior leadership team, including our senior vice president - human resources, on a periodic basis across a range of human capital management issues, including succession planning and development, compensation, benefits, talent recruiting and retention, engagement, diversity and inclusion, and employee feedback.

Culture: The Board of Directors has recognized Accountability, People Oriented Strategy, Responsible Financial Practices, Risk-Adjusted Returns and Transparency as the elements of corporate culture necessary for the Company to achieve success. Our culture unifies our employees across our decentralized business model, positions us to serve our diverse clients globally and propels the Company’s continuous evolution.

We are committed to fostering a unifying culture and encouraging innovation across our enterprise. Our culture encompasses the beliefs that (i) specialized knowledge and having a customer-centric focus are competitive advantages and (ii) an environment that promotes integrity, embraces the commitment to “always do right,” fosters entrepreneurship and innovation, and values making thoughtful decisions for the long-term benefit of our enterprise. While there is no one “Berkley” way, each of our businesses has its own culture that embodies a shared set of values that define our enterprise. Our structure, with more than 55 distinct businesses, facilitates the prompt identification of and appropriate action with respect to addressing individual business or cultural issues arising within a business, without affecting the larger enterprise. Furthermore, our businesses are overseen by senior corporate business managers and senior corporate functional managers, including actuarial, claims, underwriting, compliance and finance, providing a governance oversight structure that makes it easier to identify such issues. Because our Board of Directors diligently exercises its risk management oversight through, among other activities, regular interactions with employees beyond corporate senior management, our directors have visibility into and receive timely feedback on cultural issues that may affect our business.

As significant owners of our Company who are required to hold their shares until separation from service, each of our directors and senior executives have a vested interest in cultivating talent and perpetuating a culture that facilitates the execution of our long-term objectives.

Other Information about the Company's Business

We maintain an interest in the acquisition and startup of complementary businesses and continue to evaluate possible acquisitions and new ventures on an ongoing basis. In addition, our businesses develop new coverages or enter lines of business to meet the needs of insureds.

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Seasonal weather variations and other events affect the severity and frequency of losses sustained by the insurance and reinsurance businesses. Although the effect on our business of catastrophes such as tornadoes, hurricanes, hailstorms, wildfires, earthquakes and terrorist acts may be mitigated by reinsurance, they nevertheless can have a significant impact on the results of any one or more reporting periods. 

We have no customer that accounts for 10 percent or more of our consolidated revenues.

Compliance by W. R. Berkley and its subsidiaries with federal, state and local provisions that have been enacted or adopted regulating the discharge of materials into the environment, or otherwise relating to protection of the environment, has not had a material effect upon our capital expenditures, earnings or competitive position.

The Company's internet address is www.berkley.com. The information on our website is not incorporated by reference in this annual report on Form 10-K. The Company's annual report on Form 10-K, quarterly reports on Form 10-Q, current reports on Form 8-K, amendments to those reports filed or furnished pursuant to Section 13(a) or 15(d) of the Securities Exchange Act and other reports filed by us or with respect to our securities by others are accessible free of charge through this website as soon as reasonably practicable after they have been electronically filed with or furnished to the SEC.

ITEM 1A. RISK FACTORS

Our businesses face significant risks. If any of the events or circumstances described as risks below occur, our businesses, results of operations and/or financial condition could be materially and adversely affected. In addition to those described below, our businesses may also be adversely affected by risks and uncertainties not currently known to us or that we currently consider immaterial.

Risks Relating to Our Industry 

Our results may fluctuate as a result of many factors, including cyclical changes in the insurance and reinsurance industry.

The results of companies in the property casualty insurance industry historically have been subject to significant fluctuations and uncertainties in demand and pricing, causing cyclical changes in the insurance and reinsurance industry. The demand for insurance is influenced primarily by general economic conditions, while the supply of insurance is often directly related to available capacity or the perceived profitability of the business. We have faced significant competition in our business as a result of existing insurers seeking to gain or maintain market share as well as new entrants and capital providers. Recently, premium rates have increased for most lines of business, while they have decreased in others, most notably workers' compensation. The adequacy of premium rates is affected mainly by the severity and frequency of claims, which are influenced by many factors, including natural disasters, regulatory measures and court decisions that define and expand the extent of coverage, and the effects of economic and social inflation on the amount of claims payments due for injuries or losses. In addition, investment rates of return impact rate adequacy. These factors can have a significant impact on ultimate profitability because a property casualty insurance policy is priced before its costs are known as premiums usually are determined long before claims are reported. These factors could produce results that would have a negative impact on our results of operations and financial condition.

We face significant competitive pressures in our businesses, which can pressure premium rates in certain areas and could harm our ability to maintain or increase our profitability and premium volume in some parts of our business. 

We compete with a large number of other companies in our selected lines of business. We compete, and will continue to compete, with major U.S. and non-U.S. insurers and reinsurers, other regional companies, as well as mutual companies, specialty insurance companies, underwriting agencies, diversified financial services companies and insurtech companies. Competitiveness in our businesses is based on many factors, including premium charges, ratings assigned by independent rating agencies, commissions paid to producers, the perceived financial strength of the company, other terms and conditions offered, services provided, ease of doing business, speed of claims payment and reputation and experience in the lines to be written. Periods of insurance industry consolidation may further increase competition in some parts of our business and may cause our insurance subsidiaries to incur greater customer retention and acquisition expenses, affecting the profitability of existing and new business.

Some of our competitors, particularly in the reinsurance business, have greater financial and/or marketing resources than we do. These competitors within the reinsurance market include Swiss Re, Munich Re, Berkshire Hathaway and Partner Re. We expect that perceived financial strength, in particular, will become more important as customers seek high quality reinsurers.

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Recently, insurance prices have generally increased for most lines of business, excluding workers' compensation. However, loss costs have also increased and the duration and magnitude of the improving pricing environment remains uncertain. Despite rising interest rates, current price levels for certain lines of business may remain below the prices required for us to achieve our long-term return objectives. We expect to continue to face strong competition in our business.

In recent years, various types of investors have increasingly sought to participate in the property and casualty insurance and reinsurance industries. Well-capitalized new entrants to the property and casualty insurance and reinsurance industries, or existing competitors that receive substantial infusions of capital or access to third-party capital, provide increasing competition, which may adversely impact our business and profitability. Further, an expanded supply of capital may lower costs for insurers and, as a consequence, those insurers may be able to price their products more competitively. In addition, technology companies or other third parties have created, and may in the future create, technology-enabled business models, processes, platforms or alternate distribution channels that may adversely impact our competitive position in some parts of our business.

This intense competition could cause the supply and/or demand for insurance or reinsurance to change, which affect our ability to price our products at attractive rates and retain existing business or write new products at adequate rates or on terms and conditions acceptable to us. If we are unable to retain existing business or write new business at adequate rates or on terms and conditions acceptable to us, our results of operations could be materially and adversely affected.

Our actual claims losses may exceed our reserves for claims, which may require us to establish additional reserves. 

Our gross reserves for losses and loss expenses were approximately $17.0 billion as of December 31, 2022. Our loss reserves reflect our best estimates of the cost of settling claims and related expenses with respect to insured events that have occurred. 

Reserves do not represent an exact calculation of liability. Rather, reserves represent an estimate of what management expects the ultimate settlement and claims administration will cost for claims that have occurred, whether known or unknown. The major assumptions about anticipated loss emergence patterns are subject to unanticipated fluctuation. These estimates, which generally involve actuarial projections, are based on management's assessment of facts and circumstances then known, as well as estimates of future trends in claims severity and frequency, inflation, judicial theories of liability, reinsurance coverage, legislative changes and other factors, including the actions of third parties, which are beyond our control. 

The inherent uncertainties of estimating reserves are greater for certain types of liabilities, where long periods of time elapse before a definitive determination of liability is made and settlement is reached. In periods with increased economic volatility, it becomes more difficult to accurately estimate claim costs. It is especially difficult to estimate the impact of inflation on loss reserves given the current economic environment and related government actions. Both inflation overall and medical cost inflation, which has historically been greater than inflation overall, can have an adverse impact. In addition, although the Company has estimated the potential COVID-19 impact to its contingency and event cancellation, workers’ compensation, and other lines of business under a number of possible scenarios, there remains uncertainty around COVID-19's ultimate impact on the Company and its related reserves.

Reserve estimates are continually refined in an ongoing process as experience develops and further claims are reported and settled. Adjustments to reserves are reflected in the results of the periods in which such estimates are changed. Because setting reserves is inherently uncertain, we cannot assure that our current reserves will prove adequate in light of subsequent events. Should we need to increase our reserves, our pre-tax income for the reporting period would decrease by a corresponding amount. 

We discount our reserves for excess and assumed workers' compensation business because of the long period of time over which losses are paid. Discounting is intended to appropriately match losses and loss expenses to income earned on investment securities supporting liabilities. The expected loss and loss expense payout pattern subject to discounting is derived from our loss payout experience. Changes in the loss and loss expense payout pattern are recorded in the period they are determined. If the actual loss payout pattern is shorter than anticipated, the discount will be reduced and pre-tax income will decrease by a corresponding amount.

The effects of emerging claim and coverage issues on our business are uncertain.    

As industry practices and economic, legal, judicial, social, technological and other environmental conditions change, unexpected and unintended issues related to claim and coverage may emerge. These issues may adversely affect our business by either extending coverage beyond our underwriting intent or by increasing the number or size of claims. Examples of emerging claims and coverage issues include, but are not limited to:

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•judicial expansion of policy coverage and a greater propensity to grant claimants more favorable amounts and the impact of new theories of liability;

•plaintiffs targeting property and casualty insurers, including us, in purported class action litigation relating to claims-handling and other practices;

•social inflation trends, including higher and more frequent claims, more favorable judgments and legislated increases;

•medical developments that link health issues to particular causes, resulting in liability claims;

•claims relating to unanticipated consequences of current or new technologies, including cyber security related risks;    

•claims relating to potentially changing climate conditions; and

•increased claims due to third party funding of litigation.

In some instances, these emerging issues may not become apparent for some time after we have issued the affected insurance policies. As a result, the full extent of liability under our insurance policies may not be known until many years after the policies are issued.

In addition, the potential passage of new legislation designed to expand the right to sue, to remove limitations on recovery, to extend the statutes of limitations or otherwise to repeal or weaken tort reforms could have an adverse impact on our business.

The effects of these and other unforeseen emerging claim and coverage issues are difficult to predict and could harm our business and materially and adversely affect our results of operations.

As a property casualty insurer, we face losses from natural and man-made catastrophes. 

Property casualty insurers are subject to claims arising out of catastrophes that may have a significant effect on their results of operations, liquidity and financial condition. Catastrophe losses have had a significant impact on our results. For example, catastrophe losses net of reinsurance recoveries, including COVID-19 related losses, were $212 million in 2022, $202 million in 2021, and $340 million in 2020. Similarly, man-made catastrophes can also have a material impact on our financial results. Depending on market conditions and other factors, we may seek to increase our writing of property casualty insurance, and, accordingly, our exposure to catastrophic events would be increased.

Catastrophes can be caused by various events, including hurricanes, windstorms, earthquakes, tsunamis, hailstorms, explosions, severe winter weather and fires, pandemics, as well as terrorist and other man-made activities, including drilling, mining and other industrial accidents, the bankruptcy of a major company, war or other military actions, social unrest,

cyber events or terrorist activities. The incidence and severity of catastrophes are inherently unpredictable, and longer-term natural catastrophe trends may be changing due to climate change causing increased variability and unpredictability. The extent of losses from a catastrophe is a function of both the total amount of insured exposure in the area affected by the event and the severity of the event. Some catastrophes are restricted to small geographic areas; however, hurricanes, earthquakes, tsunamis and other disasters may produce significant damage in large, heavily populated areas. Catastrophes can cause losses in a variety of our property and casualty lines, and most of our past catastrophe-related claims have resulted from severe storms. Seasonal weather variations or the impact of climate change may affect the severity and frequency of our losses. Insurance companies are not permitted to reserve for a catastrophe until it has occurred. It is therefore possible that a catastrophic event or multiple catastrophic events could produce significant losses and have a material adverse effect on our results of operations and financial condition.

The COVID-19 pandemic has previously materially and adversely affected our results of operations, and, whether as a result of COVID-19's long-term effects, or new or emerging variants, or other potential pandemics, may further materially and adversely affect our results of operations, financial position and liquidity in the future.

The ongoing COVID-19 pandemic, including the related impact on the U.S. and global economies, materially and adversely affected our results of operations. The pandemic and its impact on our business may continue, and potentially even worsen, whether as a result of COVID-19's long-term effects, or new or emerging variants, or even other potential pandemics. We cannot predict the magnitude or duration of such impact, particularly given the uncertainties associated with COVID-19, including regarding the U.S. and global economies and the recovery from its devastating economic and other effects. The ultimate impact of COVID-19 on our results of operations, financial position and liquidity is not yet known, but includes the following:

Adverse Legislative and Regulatory Action. Legislative and regulatory initiatives in response to COVID-19 or other similar pandemics may adversely affect us, particularly in our workers’ compensation and property coverages businesses. For

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example, our business may be subject to, certain initiatives, including, but not limited to: legislative and regulatory action that seeks to retroactively mandate coverage for losses that our insurance policies would not otherwise cover and which were not priced to cover; legislative and regulatory action providing for shifting presumptions with respect to the burdens of proof for “essential” workers on workers’ compensation coverages and varying definitions of “essential” workers; actions prohibiting us from cancelling insurance policies in accordance with our policy terms or non-renewing policies at their natural expiration; and/or orders to provide premium refunds, grant extended grace periods for premium payments, and provide extended time to pay past due premiums. Any such action would likely increase both our underwriting losses and our expenses and any legal challenges to any such action could take years to resolve.

Claim Losses Related to COVID-19 May Exceed Reserves. As of December 31, 2022, we recorded approximately $341 million for COVID-19-related losses. Our reserves do not represent an exact calculation of liability, but represent an estimate of what management expects the ultimate settlement and claims administration will cost for claims that have occurred, whether known or unknown. Accordingly, given the uncertainties still associated with COVID-19 and its impact, our reserves and the underlying estimated level of claim losses and costs arising from COVID-19 may materially change.

Claim Losses and Adjustment Expenses May Increase. As the effects of COVID-19 on industry practices and economic, legal, judicial, social and other environmental conditions occur, unexpected and unintended issues related to claims and coverages may emerge. These issues may adversely affect our business by extending coverage beyond our underwriting intent (including in the area of property coverages where physical damage requirements and communicable disease exclusions are currently being challenged) or by increasing the number and/or size of claims, each of which could adversely impact our results.

Reinsurance. We purchase reinsurance in order to transfer part of the risk that we have assumed by writing insurance policies to reinsurance companies in exchange for part of the premium we receive in connection with assuming such risk. Although reinsurance makes the reinsurer contractually liable to us to the extent the risk is transferred to the reinsurer, it does not relieve us of our liability to our policyholders. There may be uncertainty surrounding the availability of reinsurance coverage for COVID-19-related losses as our reinsurers may dispute the applicability of reinsurance to such losses (including the application of reinsurance reinstatements) and, as a result, our reinsurers may refuse to pay reinsurance recoverables related thereto or they may not pay them on a timely basis. In addition, we may be unable to renew our current reinsurance coverages or obtain appropriate new reinsurance covers with respect to certain exposures under our policies, including COVID-19-related exposures, and therefore our net exposures could increase, or if we are unwilling to bear such increase in net exposure, we may reduce our level of underwriting commitments.

Premium Volumes May Be Negatively Impacted. The demand for insurance is significantly influenced by general economic conditions. Consequently, any reduced economic activity relating to COVID-19 or other potential pandemics is likely to decrease demand for our insurance products and services and negatively impact our premium volumes (and, in certain cases, may result in return of premiums due to a decrease in exposures). This may continue for an indefinite period, with the magnitude of the impact impossible to predict. In addition, as we continue to evaluate the effects of COVID-19 on the insurance coverages we currently offer, our appetite for providing certain coverages in various jurisdictions may change, which could further negatively impact our premium volumes. Any such reduction in our premiums would likely cause our expense ratio to rise.

Investments. Further disruptions in global financial markets due to the continuing impact of COVID-19 or future pandemics could cause us to incur additional unrealized and/or realized investment losses, including impairments in our fixed maturity portfolio and other investments. In addition, the economic uncertainty may result in a decline in interest rates, which may negatively impact our net investment income from future investment activity.

Operational Disruptions and Costs. Our operations could be disrupted if key members of our senior management or a significant percentage of our workforce or the workforce of our agents, brokers, suppliers or other third party service providers are unable to continue to work because of illness, government directives or otherwise. In addition, our agents, brokers, suppliers and other third party service providers, which we rely on for key aspects of our operations, are subject to similar risks and uncertainties, which may interfere with their ability to fulfill their respective commitments and responsibilities to us in a timely manner and in accordance with the agreed-upon terms. Any remote working policies we implement may result in disruptions to our business routines, heightened risk to cybersecurity attacks and data security incidents and a greater dependency on internet and telecommunication access and capabilities.

Changing climate conditions may alter the frequency and increase the severity of catastrophic events and thereby adversely affect our financial condition and results.    

Over the past several years, changing weather patterns and climatic conditions, such as global warming, appear to have contributed to the unpredictability, frequency and severity of natural disasters and created additional uncertainty as to future

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trends and exposures.  There is a growing scientific consensus that global warming and other climate change are altering the frequency, severity and peril characteristics of catastrophic weather events, such as hurricanes, windstorms, floods and other natural disasters.  Such changes make it more difficult for us to predict and model catastrophic events, reducing our ability to accurately price our exposure to such events and mitigate our risks. Any increase in the frequency or severity of natural disasters may adversely affect our financial condition and results.

We, as a primary insurer, may have significant exposure for terrorist acts. 

To the extent an act of terrorism, whether a domestic or foreign act, is certified by the Secretary of Treasury, we may be covered under the Terrorism Risk Insurance Program Reauthorization Act of 2019 (“TRIPRA”), for up to 80% of our covered losses for certain property/casualty lines of insurance. However, any such coverage would be subject to a mandatory deductible based on 20% of earned premium for the prior year for the covered lines of commercial property and casualty insurance. Based on our 2022 earned premiums, our aggregate deductible under TRIPRA during 2023 is approximately $1,310 million. In addition, the coverage provided under TRIPRA does not apply to reinsurance that we write. To the extent that our reinsurers have excluded coverage for certain terrorist acts or have priced this coverage at rates that make purchasing such coverage economically infeasible, we may not have reinsurance protection and could be exposed to potential losses as a result of any acts of terrorism.  

We are exposed to, and may face adverse developments involving, mass tort claims.

We are exposed to, and may face adverse developments involving, mass tort claims such as those relating to exposure to potentially harmful products or substances. We face potential exposure to mass tort claims, including claims related to exposure to potentially harmful products or substances, such as lead paint, polyfluoroalkyl substances, talc and opioids. Establishing loss reserves for mass tort claims is subject to uncertainties because of many factors, including adverse changes to the tort environment (e.g., increased and more aggressive attorney involvement in insurance claims, increased litigation, expanded theories of liability, higher jury awards, lawsuit abuse and third-party litigation finance, among others); evolving judicial interpretations, including application of various theories of joint and several liabilities; disputes concerning medical causation with respect to certain diseases; geographical concentration of the lawsuits asserting the claims; and the potential for a large rise in the total number of claims without underlying epidemiological developments suggesting an increase in disease rates. Because of the uncertainties set forth above, additional liabilities may arise for amounts in excess of the current loss reserves. In addition, our estimate of loss reserves may change. These additional liabilities or increases in estimates, or a range of either, could vary significantly from period to period and could materially and adversely affect our results of operations and/or our financial position.

We are subject to extensive governmental regulation, which increases our costs and could restrict the conduct of our business. 

We are subject to extensive governmental regulation and supervision in both the United States and foreign jurisdictions. Most insurance regulations are designed to protect the interests of policyholders rather than stockholders and other investors. This system of regulation, generally administered in the United States by a department of insurance in each state in which we do business, relates to, among other things:

•standards of solvency, including risk-based capital measurements;

•restrictions on the nature, quality and concentration of investments;

•limitations on the amount of dividends, tax distributions, intercompany loans and other payments that can be made without prior regulatory approval;

•requirements pertaining to certain methods of accounting;

•evaluating enterprise risk to an insurer;

•rate and form regulation pertaining to certain of our insurance businesses; 

•potential assessments for the provision of funds necessary for the settlement of covered claims under certain policies provided by impaired, insolvent or failed insurance companies; and

•involvement in the payment or adjudication of catastrophe or other claims beyond the terms of the policies.

State insurance departments conduct periodic examinations of the affairs of insurance companies and require the filing of annual and other reports relating to the financial condition of insurance companies, holding company issues and other matters. Our Insurance business internationally is also generally subject to a similar regulatory scheme in each of the jurisdictions where we conduct operations outside the United States.

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Federal financial services modernization legislation and legislative and regulatory initiatives taken or which may be taken in response to conditions in the financial markets, global insurance supervision and other factors may lead to additional federal regulation of the insurance industry in the coming years.

The Dodd-Frank Act effected sweeping changes to financial services regulation in the United States. The Dodd-Frank Act established the Financial Stability Oversight Council (“FSOC”), which is authorized to recommend that certain systemically significant non-bank financial companies, including insurance companies, be regulated by the Board of Governors of the Federal Reserve. The Dodd-Frank Act also established a Federal Insurance Office (“FIO”) which is authorized to study, monitor and report to Congress on the U.S. insurance industry and the significance of global reinsurance to the U.S. insurance market. The FIO also can recommend that the FSOC designate an insurer as an entity posing risks to the United States financial stability in the event of the insurer's material financial distress or failure. Our business could be affected by changes, whether as a result of potential changes to the Dodd-Frank Act, to the U.S. system of insurance regulation or our designation or the designation of insurers or reinsurers with which we do business as systemically significant non-bank financial companies.

The topic of climate risk has come under increased scrutiny by the NAIC and insurance regulators. For instance, in New York, the NYDFS issued a circular letter in September 2020 that applies to both New York domestic and foreign authorized insurers, such as our insurance subsidiaries licensed in New York. The circular letter states that the NYDFS expects these insurers to integrate financial risks related to climate change into their governance frameworks, risk management processes, business strategies and scenario analysis, and develop their approach to climate-related financial disclosure. The NYDFS also amended the regulation governing enterprise risk management, which applies to our insurance subsidiaries licensed in New York, that requires an insurance group's enterprise risk management function to address certain additional risks, including climate change risk. In addition, the FIO is assessing how the insurance sector may help mitigate climate-related risks and achieve national climate-related goals. These measures may subject us to increased oversight at the state and federal level.

State regulation is the primary form of regulation of insurance and reinsurance in the United States, although Congress has considered various proposals regarding federal regulation of insurance, in addition to the changes brought about by the Dodd-Frank Act, such as proposals for the creation of an optional federal charter for insurance companies. We may be subject to potentially increased federal oversight as a financial institution. In addition, the current U.S. administration and the volatile political environment may increase the chance of other federal legislative and regulatory changes that could affect us in ways we cannot predict.

With respect to international measures, Solvency II, the EU regime concerning the capital adequacy, risk management and regulatory reporting for insurers and reinsurers may affect our insurance businesses. Implementation of Solvency II in EU member states occurred on January 1, 2016, and as the Solvency II regime evolves over time, we may be required to utilize a significant amount of resources to ensure compliance. In particular, the European Commission has undertaken a review of Solvency II and on September 22, 2021, published a package of proposed legislative reforms for amending the existing regulatory framework. The European Council published its agreed position on the European Commission’s proposed reforms in June 2022, and it is now discussing this proposed legislation with the European Parliament. In addition, despite the waiver of the Solvency II group capital requirements we received, Solvency II may have the effect of increasing the capital requirements of our EU domiciled insurers. Additionally, our capital requirements and compliance requirements may be adversely affected if the European Commission does not deem the insurance regulatory regimes of the jurisdictions outside the EU in which we have insurance or reinsurance companies domiciled to be “equivalent” to Solvency II.

Similar considerations apply to our U.K. subsidiaries, which are now subject to a separate U.K. prudential regime, which is broadly identical to Solvency II. However, the two regimes, and their respective requirements, are likely to diverge in the near future due to both the EU’s review of Solvency II described above and HM Treasury’s publication of a finalized package of reforms to the U.K.’s domestic prudential regime on November 17, 2022 (please see “International Regulation” above for more information). We therefore may be required to utilize additional resources to ensure compliance with the different rules in each regime.

If our compliance with Solvency II, the U.K.’s prudential regime or any other regulatory regime is challenged, we may be subject to monetary or other penalties. In addition, in order to ensure compliance with applicable regulatory requirements or as a result of any investigation, including remediation efforts, we could be required to incur significant expenses and undertake additional work, which in turn may divert resources from our business.

We may be unable to maintain all required licenses and approvals and our business may not fully comply with the wide variety of applicable laws and regulations or the relevant authority's interpretation of the laws and regulations. Also, some regulatory authorities have relatively broad discretion to grant, renew or revoke licenses and approvals. If we do not have the requisite licenses and approvals or do not comply with applicable regulatory requirements, the insurance regulatory authorities

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could preclude or temporarily suspend us from carrying on some or all of our activities or monetarily penalize us. Also, changes in the level of regulation of the insurance industry, whether federal, state or foreign, or changes in laws or regulations themselves or interpretations thereof by regulatory authorities, may further restrict the conduct of our business. 

Risks Relating to Our Business

Our expanding international operations expose us to increased investment, political, legal/regulatory, and economic risks, including foreign currency and credit risk.

Our expanding international operations in the United Kingdom, Continental Europe, South America, Canada, Mexico, Scandinavia, the Asia-Pacific region, South Africa and Australia expose us to increased investment, political, legal/regulatory, and economic risks, including foreign currency and credit risk. Changes in the value of the U.S. dollar relative to other currencies could have an adverse effect on our results of operations and financial condition. 

Our investments in non-U.S.-denominated assets are subject to fluctuations in non-U.S. securities and currency markets, and those markets can be volatile. Non-U.S. currency fluctuations also affect the value of any dividends paid by our non-U.S. subsidiaries to their parent companies in the U.S.

We face additional risks as a result of our international operations which could have an adverse effect on our results of operations and financial condition including: burdens and costs of compliance with a variety of foreign laws and regulations and the associated risk and costs of non-compliance; exposure to undeveloped or evolving legal systems, which may result in unpredictable or inconsistent application of laws and regulations; exposure to commercial, political, legal or regulatory corruption; political, economic or other instability in countries in which we conduct business, including possible terrorist acts; the imposition of tariffs, trade barriers or other protectionist laws or business practices that favor local competition, increased costs and adverse effects on our business; changes to visa or immigration policies; diminished ability to enforce our contractual rights; potential increased risk of data breaches; differences in cultural environments; sociopolitical instability; social, political or economic instability resulting from climate change; changes in regulatory requirements, including changes in regulatory treatment of certain products or services; exposure to local economic conditions and its impact on our clients’ performance and creditworthiness; and restrictions on the repatriation of non-U.S. investments and earnings.

Our U.K. business could be specifically adversely impacted by the imposition of trade barriers between the EU and the U.K. following Brexit, which has already reduced the level of trade between the two markets and the U.K.’s overall trade exports, thereby negatively affecting the attractiveness of the U.K. market.

We may be unable to attract and retain key personnel and qualified employees.

We depend on our ability to attract and retain key personnel, including our President and CEO, Executive Chairman, senior executive officers, presidents of our businesses, experienced underwriters and other skilled employees who are knowledgeable about our business. If the quality of our underwriting team and other personnel decreases, we may be unable to maintain our current competitive position in the specialized markets in which we operate, and be unable to expand our operations into new products and markets.

We cannot guarantee that our reinsurers will pay in a timely fashion, if at all, and, as a result, we could experience losses. 

We purchase reinsurance by transferring part of the risk that we have assumed, known as ceding, to a reinsurance company in exchange for part of the premium we receive in connection with the risk. Although reinsurance makes the reinsurer contractually liable to us to the extent the risk is transferred or ceded to the reinsurer, it does not relieve us, the reinsured, of our liability to our policyholders. Our reinsurers may not pay the reinsurance recoverables that they owe to us or they may not pay such recoverables on a timely basis. This failure to pay or failure to pay on a timely basis may be due to factors such as whether reinsurers, their affiliates or certain indemnitors have the financial capacity and willingness to make payments under the terms of a reinsurance treaty or contract. Accordingly, we bear credit risk with respect to our reinsurers, and if our reinsurers fail to pay us, our financial results would be adversely affected. Underwriting results and investment returns of some of our reinsurers may affect their future ability to pay claims. As of December 31, 2022, the amount due from our reinsurers was approximately $3,188 million, including amounts due from state funds and industry pools where it was intended that we would bear no risk. Certain of these amounts are secured by letters of credit or by funds held in trust on our behalf.

We are subject to credit risk relating to our policyholders, independent agents and brokers.

In addition to exposure to credit risk related to our reinsurance recoverables and investment portfolio, we are exposed to credit risk in several other areas of our business, including credit risk relating to policyholders, independent agents and brokers. For example our policyholders, independent agents or brokers may not pay a part of or the full amount of premiums owed to us

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or our brokers or other third party claim administrators may not deliver amounts owed on claims under our insurance and reinsurance contracts for which we have provided funds.

As credit risk is generally a function of the economy, we face a greater credit risk in an economic downturn. While we attempt to manage credit risks through underwriting guidelines, collateral requirements and other oversight mechanisms, our efforts may not be successful. For example, to reduce such credit risk, we require certain third parties to post collateral for some or all of their obligations to us. In cases where we receive pledged securities and the applicable counterparty is unable to honor its obligations, we may be exposed to credit risk on the securities pledged and/or the risk that our access to that collateral may be stayed as a result of bankruptcy. In cases where we receive letters of credit from banks as collateral and one of our counterparties is unable to honor its obligations, we are exposed to the credit risk of the banks that issued the letters of credit.

We are rated by A.M. Best, Standard & Poor's, Moody's, and Fitch, and a decline in these ratings could affect our standing in the insurance industry and cause our sales and earnings to decrease.

Ratings have become an increasingly important factor in establishing the competitive position of insurance companies. Certain of our insurance company subsidiaries are rated by A.M. Best, Standard & Poor's, Moody's and Fitch. Our ratings are subject to periodic review, and we cannot assure you that we will be able to retain our current or any future ratings, especially given that rating agencies may change their criteria or increase capital requirements for various rating levels. For instance, Standard & Poor's has recently proposed changes to its rating model which could impact our rating depending on final changes that are implemented.

If our ratings are reduced from their current levels by A.M. Best, Standard & Poor's, Moody's or Fitch, our competitive position in the insurance industry could suffer and it would be more difficult for us to market our products. A ratings downgrade could also adversely limit our access to capital markets, which may increase the cost of debt. A significant downgrade could result in a substantial loss of business as policyholders move to other companies with higher financial strength ratings.

If market conditions cause reinsurance to be more costly or unavailable, we may be required to bear increased risks or reduce the level of our underwriting commitments.

As part of our overall risk and capacity management strategy, we purchase reinsurance for certain amounts of risk underwritten by our insurance company subsidiaries, especially catastrophe risks and those risks with relatively high policy limits. We also purchase reinsurance on risks underwritten by others which we reinsure. Market conditions beyond our control determine the availability and cost of the reinsurance protection we seek to purchase, which may affect the level of our business and profitability. Our reinsurance contracts are generally subject to annual renewal, and we may be unable to maintain our current reinsurance contracts or to obtain other reinsurance contracts in adequate amounts and at favorable rates. In addition, we may be unable to obtain reinsurance on terms acceptable to us relating to certain lines of business that we intend to begin writing. If we are unable to renew our expiring contracts or to obtain new reinsurance contracts, either our net exposures would increase or, if we are unwilling to bear an increase in net exposures, we would have to reduce the level of our underwriting commitments, especially catastrophe exposed risks.

Depending on conditions in the financial markets and the general economy, we may be unable to raise debt or equity capital if needed.

If conditions in the financial markets and the general economy are unfavorable, which may result from disruptions, uncertainty or volatility in the capital and credit markets, we may be unable to access debt or equity capital on acceptable terms if needed, which could have a negative impact on our ability to invest in our insurance company subsidiaries and/or to take advantage of opportunities to expand our business, such as possible acquisitions and the creation of new ventures, and inhibit our ability to refinance our existing indebtedness if we desire to do so, on terms acceptable to us.

We may not find suitable acquisition candidates or new insurance ventures and even if we do, we may not successfully integrate any such acquired companies or successfully invest in such ventures.

As part of our present strategy, we continue to evaluate possible acquisition transactions and the start-up of complementary businesses on an ongoing basis, and at any given time we may be engaged in discussions with respect to possible acquisitions and new ventures. We cannot assure you that we will be able to identify suitable acquisition targets or insurance ventures, that such transactions will be financed and completed on acceptable terms or that our future acquisitions or start-up ventures will be successful. Our financial results could be adversely affected by acquired businesses not performing as projected, unforeseen liabilities, routine and unanticipated transaction-related charges, diversion of management time and resources to acquisition integration challenges or growth strategies, loss of key employees, challenges in integrating information technology systems of acquired companies with our own, amortization of expenses related to intangibles, charges

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for impairment of long-term assets or goodwill and indemnification. The process of integrating any companies we do acquire or investing in new ventures may have a material adverse effect on our results of operations and financial condition.

If we experience difficulties with our information technology, telecommunications or other computer systems, our ability to conduct our business could be negatively or severely impacted.    

Our business is highly dependent upon our employees' ability to perform necessary business functions in an efficient and uninterrupted fashion. A shut-down of, or inability to access, one or more of our facilities, a power outage or a failure of one or more of our information technology, telecommunications or other computer systems could significantly impair our employees' ability to perform such functions on a timely basis. In the event of a disaster such as a natural catastrophe, terrorist attack or industrial accident, or the infection of our systems by a malicious computer virus, our systems could be inaccessible for an extended period of time. In addition, because our information technology and telecommunications systems interface with and depend on third-party systems, we could experience service denials or failures of controls if demand for our service exceeds capacity or a third-party system fails or experiences an interruption. If our business continuity plans or system security does not sufficiently address such a business interruption, system failure or service denial, our ability to write and process new and renewal business, provide customer service, pay claims in a timely manner or perform other necessary business functions could be significantly impaired and our business could be harmed.

Failure to maintain the security of information technology systems and confidential data may expose us to liability.

Although we have taken steps intended to protect our data and information technology systems and mitigate the risk of harm caused by cybersecurity incidents or breaches, no safeguards are perfect and any failure of these safeguards could cause a substantial disruption of our business operations, which could result in service interruptions, data security compromises, regulatory action, and other similar operational and legal issues, as well as substantial remediation and other costs. Our operations rely on the secure processing, storage and transmission of confidential and other information in our computer systems and networks. Cybersecurity breaches, including physical or electronic break-ins, computer viruses, malware, attacks by hackers, ransomware attacks, phishing attacks, supply chain attacks, breaches due to employee error or misconduct and other similar breaches can create system disruptions, shutdowns or unauthorized access to information maintained in our information technology systems and in the information technology systems of our vendors and other third parties. We have in the past experienced cybersecurity breaches of our information technology systems as well as the information technology systems of our vendors and other third parties, but, to our knowledge, we have not experienced any material cybersecurity breaches. We expect cybersecurity breaches to continue to occur in the future and we are constantly managing efforts to infiltrate and compromise our systems and data. Our electronic transmission of personal, confidential and proprietary information to third parties with whom we have business relationships and our outsourcing of certain technology and business process functions to third parties may expose us to enhanced risk related to data security. While we attempt to develop secure data transmission capabilities with these third-party vendors and others with whom we do business, our vendors and third parties could still suffer data breaches that could result in the exposure of sensitive data and the infiltration of our computer systems. Our failure to effectively protect sensitive personal and/or proprietary information, whether owing to breaches of our own systems or those of our vendors and other third parties, could result in significant monetary and reputational damages, material adverse effects to our financial condition, costly litigation, or other regulatory enforcement actions. These increased risks, and expanding regulatory requirements regarding data security, including required compliance with the GDPR, CCPA, CPRA and additional state-specific privacy statutes and regulations, could expose us to data loss, monetary and reputational damages and significant increases in compliance costs. As a result, our ability to conduct our business could be materially and adversely affected.

We could be adversely affected if our controls to ensure compliance with guidelines, policies and legal and regulatory standards are not effective.    

Our business is highly dependent on our ability to engage on a daily basis in a large number of insurance underwriting, claim processing and investment activities, many of which are highly complex. These activities often are subject to internal guidelines and policies, as well as legal and regulatory standards, including those related to privacy, anti-corruption, anti-bribery and global finance and insurance matters. Our continued expansion into new international markets has brought about additional requirements. A control system, no matter how well designed and operated, can provide only reasonable assurance that the control system's objectives will be met. If our controls are not effective, it could lead to financial loss, unanticipated risk exposure (including underwriting, credit and investment risk) or damage to our reputation.

We could be adversely affected by changes in U.S. Federal income tax laws.

Tax legislation commonly referred to as the Tax Cuts and Jobs Act, which was signed into law on December 22, 2017, fundamentally overhauled the U.S. tax system by, among other significant changes, reducing the U.S. corporate income tax rate to 21%. In the context of the taxation of U.S. property/casualty insurance companies such as the Company, the Act also modified the loss reserve discounting rules and the proration rules that apply to reduce reserve deductions to reflect the lower

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corporate income tax rate. It is possible that other legislation could be introduced and enacted by the current Congress or future Congresses that could have an adverse impact on us. New regulations or pronouncements interpreting or clarifying provisions of the Act may be forthcoming. We cannot predict if, when or in what form such regulations or pronouncements may be provided, whether such guidance will have a retroactive effect or their potential impact on us.

Limitations in risk management and loss limitation methods may adversely impact our business.

We seek to effectively manage risk and limit our losses in a variety of ways including through effective underwriting, tailoring policy terms, and the use of reinsurance. However, there are certain limitations in these and similar tactics and as a result, loss levels may be higher than modeled or otherwise expected, which could have a material adverse effect on our business.

Increased scrutiny on social responsibility and the efforts we take to implement related measures, or the failure to take such measures, may adversely impact our business.

There is increased scrutiny from regulators and investors on the measures companies take to be socially responsible. Although we have made efforts to be responsible in this manner, for example through our commitment to fostering a unifying culture and encouraging innovation across our operating units, these types of pressures may nonetheless present challenges and have an adverse impact on our business. In addition, we may be subject to negative publicity based on a failure or perceived failure to achieve various social responsibility initiatives and goals relating to diversity, equity and inclusion, and commitment to long-term sustainability we may announce from time to time, or based on an actual or perceived increase in related risks as a result of our or our industry’s business activities.

Risks Relating to Our Investments 

A significant amount of our assets is invested in fixed maturity securities and is subject to market fluctuations. 

Our investment portfolio consists substantially of fixed maturity securities. As of December 31, 2022, our investment in fixed maturity securities was approximately $17.6 billion, or 72.4% of our total investment portfolio, including cash and cash equivalents. As of that date, our portfolio of fixed maturity securities consisted of the following types of securities: U.S. Government securities (5.1%); state and municipal securities (16.8%); corporate securities (38.1%); asset-backed securities (22.6%); mortgage-backed securities (9.4%) and foreign government (8.0%). 

The fair value of these assets and the investment income from these assets fluctuate depending on general economic and market conditions. The fair value of fixed maturity securities generally decreases as interest rates rise. If a significant increase in interest rates were to occur, the fair value of our fixed maturity securities would be negatively impacted, while investment income earned from future investments in fixed-maturity securities would be higher. Conversely, if interest rates decline, the fair value of our fixed-maturity securities would be positively impacted and investment income earned from future investments in fixed maturity securities will be lower. Some fixed maturity securities, such as mortgage-backed and other asset-backed securities, also carry prepayment risk as a result of interest rate fluctuations. In low interest rate environments, we may not be able to successfully reinvest the proceeds from maturing securities at yields commensurate with our target performance goals.

The value of investments in fixed maturity securities is subject to impairment as a result of deterioration in the credit worthiness of the issuer, default by the issuer (including states and municipalities) in the performance of its obligations in respect of the securities and/or increases in market interest rates. To a large degree, the credit risk we face is a function of the economy; accordingly, we face a greater risk in an economic downturn or recession. During periods of market disruption, it may be difficult to value certain of our securities, particularly if trading becomes less frequent and/or market data becomes less observable. There may be certain asset classes that were in active markets with significant observable data that become illiquid due to the then current financial environment. In such cases, more securities may require additional subjectivity and management judgment.

Although the historical rates of default on state and municipal securities have been relatively low, our state and municipal fixed maturity securities could be subject to a higher risk of default or impairment due to declining municipal tax bases and revenue. Many states and municipalities operate under deficits or projected deficits, the severity and duration of which could have an adverse impact on both the valuation of our state and municipal fixed maturity securities and the issuer's ability to perform its obligations thereunder. Additionally, our investments are subject to losses as a result of a general decrease in commercial and economic activity for an industry sector in which we invest, as well as risks inherent in particular securities.

Although we attempt to manage these risks through the use of investment guidelines and other oversight mechanisms and by diversifying our portfolio and emphasizing preservation of principal, our efforts may not be successful. Impairments, defaults and/or rate increases could reduce our net investment income and net realized investment gains or result in investment

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losses. Investment returns are currently, and will likely continue to remain, under pressure due to economic uncertainty, more generally, and the shape of the yield curve. As a result, our exposure to the risks described above could materially and adversely affect our results of operations, liquidity and financial condition.

We have invested a portion of our assets in equity securities, merger arbitrage securities, investment funds, private equity, loans and real estate related assets, which are subject to significant volatility and may decline in value.

We invest a portion of our investment portfolio in equity securities, merger arbitrage securities, investment funds, private equity, loans and real estate related assets. At December 31, 2022, our investment in these assets was approximately $5.3 billion, or 21.6%, of our investment portfolio, including cash and cash equivalents.

Merger and arbitrage trading securities were $0.9 billion, or 3.9% of our investment portfolio, including cash and cash equivalents at December 31, 2022. Merger arbitrage involves investing in the securities of publicly held companies that are the targets in announced tender offers and mergers. Merger arbitrage differs from other types of investments in its focus on transactions and events believed likely to bring about a change in value over a relatively short time period, usually four months or less. Our merger arbitrage positions are exposed to the risk associated with the completion of announced deals, which are subject to regulatory as well as political and other risks.

Real estate related investments, including directly owned, investment funds and loans receivable, were $1.7 billion, or 7.1% of our investment portfolio, including cash and cash equivalents, at December 31, 2022. We also invest in real estate, financial services, energy, transportation and other investment funds. The values of these investments are subject to fluctuation based on changes in the economy and interest rates in general and the related asset valuations in particular. In addition, our investments in real estate related assets and other alternative investments are less liquid than our other investments.

These investments are subject to significant volatility as a result of the conditions in the financial and commodity markets and the global economy.

Risks Relating to Limitations on Dividends from Subsidiaries and Anti-Takeover Provisions

We are an insurance holding company and, therefore, may not be able to receive dividends in needed amounts.

As an insurance holding company, our principal assets are the shares of capital stock of our insurance company subsidiaries. We have to rely on dividends from our insurance company subsidiaries to meet our obligations for paying principal and interest on outstanding debt obligations, paying dividends to stockholders and repurchasing our shares and paying corporate expenses. The payment of dividends by our insurance company subsidiaries is subject to regulatory restrictions and competitive pressures on maintaining financial strength ratings and will depend on the surplus and future earnings of these subsidiaries. During 2023, the maximum amount of dividends that can be paid without regulatory approval is approximately $1.2 billion. Future regulatory actions could further restrict our insurance subsidiaries’ ability to pay us dividends. As a result, in the future we may not be able to receive dividends from these subsidiaries at times and in amounts necessary to meet our obligations, pay dividends or repurchase shares.

Laws and regulations of the jurisdictions in which we conduct business could delay, deter or prevent an attempt to acquire control of us that stockholders might consider to be desirable, and may restrict a stockholder's ability to purchase our common stock.

Generally, United States insurance holding company laws require that, before a person can acquire control of an insurance company, prior written approval must be obtained from the insurance regulatory authority in the state in which that insurance company is domiciled. Pursuant to applicable laws and regulations, “control” over an insurer is generally presumed to exist if any person, directly or indirectly, owns, controls, holds the power to vote, or holds proxies representing 10% or more of the voting securities of that insurer or any parent company of such insurer. Indirect ownership includes ownership of the shares of our common stock. Thus, the insurance regulatory authorities of the states in which our insurance subsidiaries are domiciled are likely to apply these restrictions on acquisition of control to any proposed acquisition of our common stock. Some states require a person seeking to acquire control of an insurer licensed but not domiciled in that state to make a filing prior to completing an acquisition if the acquirer and its affiliates, on the one hand, and the target insurer and its affiliates, on the other hand, have specified market shares in the same lines of insurance in that state. Additionally, many foreign jurisdictions where we conduct business impose similar restrictions and requirements.

These provisions can also lead to the imposition of conditions on an acquisition that could delay or prevent its consummation. These laws may discourage potential acquisition proposals and may delay, deter or prevent a change in control of us through transactions, and in particular unsolicited transactions, that some or all of our stockholders might consider to be desirable. 

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Certain provisions in our organizational documents may have the effect of hindering, delaying or preventing third party takeovers and thus may prevent our stockholders from receiving premium prices for their shares in an unsolicited takeover or make it more difficult for third parties to replace our current management.

Provisions of our Restated Certificate of Incorporation and By-Laws, as well as state insurance statutes, may hinder, delay or prevent unsolicited acquisitions or changes of our control. These provisions may also have the effect of making it more difficult for third parties to cause the replacement of our current management without the concurrence of our board of directors. 

These provisions include:

•our classified board of directors and the ability of our board to increase its size and to appoint directors to fill newly created directorships;

•the requirement that the holders of 80% of our shares must approve mergers and other transactions between us and the holder of 5% or more of our shares, unless the transaction was approved by our board of directors prior to such holder's acquisition of 5% of our shares; and

•the need for advance notice in order to raise business or make nominations at stockholders' meetings.

These provisions may discourage potential acquisition proposals and may delay, deter or prevent a change in control of us through transactions, and in particular unsolicited transactions, that some or all of our stockholders might consider to be desirable.

ITEM 1B. UNRESOLVED STAFF COMMENTS

There are no unresolved written comments that were received from the SEC staff 180 days or more before the end of our fiscal year relating to our periodic or current reports under the Securities Exchange Act of 1934.

ITEM 2. PROPERTIES

W. R. Berkley and its subsidiaries own or lease office buildings or office space suitable to conduct their operations. At December 31, 2022, the Company had aggregate office space of 4,295,165 square feet, of which 1,048,136 were owned and 3,247,029 were leased.

Rental expense for the Company's operations was approximately $43,383,000, $44,051,000 and $44,291,000 for 2022, 2021 and 2020, respectively. Future minimum lease payments, without provision for sublease income, are $32,282,796 in 2023, $33,528,105 in 2024 and $599,371,375 thereafter.

ITEM 3. LEGAL PROCEEDINGS

The Company's subsidiaries are subject to disputes, including litigation and arbitration, arising in the ordinary course of their insurance and reinsurance businesses. The Company's estimates of the costs of settling such matters are reflected in its aggregate reserves for losses and loss expenses, and the Company does not believe that the ultimate outcome of such matters will have a material adverse effect on its financial condition or results of operations.

ITEM 4. MINE SAFETY DISCLOSURES

Not applicable.

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PART II

ITEM 5. MARKET FOR THE REGISTRANT'S COMMON EQUITY, RELATED STOCKHOLDER MATTERS AND ISSUER PURCHASES OF EQUITY SECURITIES

In 2022, the Board declared regular quarterly cash dividends of $0.09 per share in the first quarter, and $0.10 per share in each of the remaining three quarters, and special dividends of $0.50 per share in the second quarter. Subject to availability, the Board currently expects to continue such regular quarterly cash dividends.

The approximate number of record holders of the common stock on February 15, 2023 was 323.

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The chart below shows a comparison of 5 year cumulative total return.

Comparison of 5 Year Cumulative Total Return

Assumes initial investment of $100 on January 1, 2017, with dividends reinvested.

As of December 31, 2022, the S&P 500® Property and Casualty Insurance Index consists of Allstate Corporation, Arch Capital Group Ltd. (added Nov. 2022), Chubb, Ltd., Cincinnati Financial Corporation, Progressive Corporation, The Travelers Companies, Inc., and W. R. Berkley Corporation (added Dec. 2019).

		2017	2018	2019	2020	2021	2022
W. R. Berkley Corporation	Cum $	100.00	104.61	150.46	145.72	185.56	240.56
S&P 500 Index - Total Returns	Cum $	100.00	95.61	125.70	148.81	191.48	156.69
S&P 500 Property and Casualty Insurance Index	Cum $	100.00	95.31	119.97	127.56	149.90	178.27

Set forth below is a summary of the shares repurchased by the Company during the fourth quarter of 2022 and the remaining number of shares authorized for purchase by the Company during such period.

	Total Number of Shares Purchased	Average Price Paid per Share		Total Number of Shares Purchased as Part of Publicly Announced Plans or Programs	Maximum Number of Shares that may yet be Purchased Under the Plans or Programs
October 2022	325,596	$	69.22	325,596	14,568,100
November 2022	938,494	69.29		938,494	13,629,606
December 2022	—	—		—	13,629,606

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ITEM 7. MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

Overview

W. R. Berkley Corporation is an insurance holding company that is among the largest commercial lines writers in the United States and operates worldwide in two segments of the property and casualty business: Insurance and Reinsurance & Monoline Excess. Our decentralized structure provides us with the flexibility to respond quickly and efficiently to local or specific market conditions and to pursue specialty business niches. It also allows us to be closer to our customers in order to better understand their individual needs and risk characteristics. While providing our business units with certain operating autonomy, our structure allows us to capitalize on the benefits of economies of scale through centralized capital, investment, reinsurance, enterprise risk management, and actuarial, financial and corporate legal staff support. The Company’s primary sources of revenues and earnings are its insurance operations and its investments.

An important part of our strategy is to form new businesses to capitalize on various opportunities. Over the years, the Company has formed numerous businesses that are focused on important parts of the economy in the U.S., including healthcare, cyber security, energy and agriculture, and on growing international markets, including the Asia-Pacific region, South America and Mexico.

The profitability of the Company’s insurance business is affected primarily by the adequacy of premium rates. The ultimate adequacy of premium rates is not known with certainty at the time an insurance policy is issued because premiums are determined before claims are reported. The ultimate adequacy of premium rates is affected mainly by the severity and frequency of claims, which are influenced by many factors, including natural and other disasters, regulatory measures and court decisions that define and change the extent of coverage and the effects of economic or social inflation on the amount of compensation for injuries or losses. General insurance prices are also influenced by available insurance capacity, i.e., the level of capital employed in the industry, and the industry’s willingness to deploy that capital.

The Company’s profitability is also affected by its investment income and investment gains. The Company’s invested assets are invested principally in fixed maturity securities. The return on fixed maturity securities is affected primarily by general interest rates, as well as the credit quality and duration of the securities.

The Company also invests in equity securities, merger arbitrage securities, investment funds, private equity, loans and real estate related assets. The Company's investments in investment funds and its other alternative investments have experienced, and the Company expects to continue to experience, greater fluctuations in investment income. The Company's share of the earnings or losses from investment funds is generally reported on a one-quarter lag in order to facilitate the timely completion of the Company's consolidated financial statements.

On February 25, 2022, the Company announced that its Board of Directors approved a 3-for-2 common stock split which was paid in the form of a stock dividend to holders of record as of March 9, 2022. The additional shares were issued on March 23, 2022. Shares outstanding and per share amounts in this Form 10-K reflect such 3-for-2 common stock split.

On March 7, 2022, the Company sold a real estate investment consisting of an office building located in London for £718 million. The Company realized a pretax gain of $317 million in the first quarter of 2022, before transaction expenses and the impact of foreign currency, including the reversal of the currency translation adjustment. The gain was $251 million after such adjustments.

The COVID-19 pandemic, including the related impact on the U.S. and global economies, continued to adversely affect our results of operations. At the same time, COVID-19 has led to reduced loss frequency in certain lines of business (which partially returned to pre-pandemic levels as many economies and legal systems have reopened). The ultimate impact of COVID-19 on the economy and the Company’s results of operations, financial position and liquidity is not within the Company’s control and remains unclear due to, among other factors, its ongoing impact and uncertainty in connection with its claims, reserves and reinsurance recoverables.

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Critical Accounting Estimates

The following presents a discussion of accounting policies and estimates relating to reserves for losses and loss expenses, assumed reinsurance premiums and other-than-temporary impairments of investments. Management believes these policies and estimates are the most critical to its operations and require the most difficult, subjective and complex judgments.

Reserves for Losses and Loss Expenses. To recognize liabilities for unpaid losses, either known or unknown, insurers establish reserves, which is a balance sheet account representing estimates of future amounts needed to pay claims and related expenses with respect to insured events which have occurred. Estimates and assumptions relating to reserves for losses and loss expenses are based on complex and subjective judgments, often including the interplay of specific uncertainties with related accounting and actuarial measurements. Such estimates are also susceptible to change as significant periods of time may elapse between the occurrence of an insured loss, the report of the loss to the insurer, the ultimate determination of the cost of the loss and the insurer’s payment of that loss.

In general, when a claim is reported, claims personnel establish a “case reserve” for the estimated amount of the ultimate payment based upon known information about the claim at that time. The estimate represents an informed judgment based on general reserving practices and reflects the experience and knowledge of the claims personnel regarding the nature and value of the specific type of claim. Reserves are also established on an aggregate basis to provide for losses incurred but not reported (“IBNR”) to the insurer, potential inadequacy of case reserves and the estimated expenses of settling claims, including legal and other fees and general expenses of administrating the claims adjustment process. Reserves are established based upon the then current legal interpretation of coverage provided.

In examining reserve adequacy, several factors are considered in estimating the ultimate economic value of losses. These factors include, among other things, historical data, legal developments, changes in social attitudes and economic conditions, including the effects of inflation. The actuarial process relies on the basic assumption that past experience, adjusted judgmentally for the effects of current developments and anticipated trends, is an appropriate basis for predicting future outcomes. Reserve amounts are based on management’s informed estimates and judgments using currently available data. As additional experience and other data become available and are reviewed, these estimates and judgments may be revised. This may result in reserve increases or decreases that would be reflected in our results in periods in which such estimates and assumptions are changed.

Reserves do not represent a certain calculation of liability. Rather, reserves represent an estimate of what management expects the ultimate settlement and claim administration will cost. While the methods for establishing reserves are well tested over time, the major assumptions about anticipated loss emergence patterns are subject to uncertainty. These estimates, which generally involve actuarial projections, are based on management’s assessment of facts and circumstances then known, as well as estimates of trends in claims severity and frequency, judicial theories of liability and other factors, including the actions of third parties which are beyond the Company’s control. These variables are affected by external and internal events, such as inflation and economic volatility, judicial and litigation trends, reinsurance coverage, legislative changes and claim handling and reserving practices, which make it more difficult to accurately predict claim costs. The inherent uncertainties of estimating reserves are greater for certain types of liabilities where long periods of time elapse before a definitive determination of liability is made. Because setting reserves is inherently uncertain, the Company cannot provide assurance that its current reserves will prove adequate in light of subsequent events.

Loss reserves included in the Company’s financial statements represent management’s best estimates based upon an actuarially derived point estimate and other considerations. The Company uses a variety of actuarial techniques and methods to derive an actuarial point estimate for each business. These methods include paid loss development, incurred loss development, paid and incurred Bornhuetter-Ferguson methods and frequency and severity methods. In circumstances where one actuarial method is considered more credible than the others, that method is used to set the point estimate. For example, the paid loss and incurred loss development methods rely on historical paid and incurred loss data. For new lines of business, where there is insufficient history of paid and incurred claims data, or in circumstances where there have been significant changes in claim practices, the paid and incurred loss development methods would be less credible than other actuarial methods. The actuarial point estimate may also be based on a judgmental weighting of estimates produced from each of the methods considered. Industry loss experience is used to supplement the Company’s own data in selecting “tail factors” and in areas where the Company’s own data is limited. The actuarial data is analyzed by line of business, coverage and accident or policy year, as appropriate, for each business.

The establishment of the actuarially derived loss reserve point estimate also includes consideration of qualitative factors that may affect the ultimate losses. These qualitative considerations include, among others, the impact of re-underwriting initiatives, changes in the mix of business, changes in distribution sources and changes in policy terms and conditions. Examples of changes in terms and conditions that can have a significant impact on reserve levels are the use of aggregate policy limits, the expansion of coverage exclusions, whether or not defense costs are within policy limits, and changes in deductibles and attachment points.

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The key assumptions used to arrive at the best estimate of loss reserves are the expected loss ratios, rate of loss cost inflation, and reported and paid loss emergence patterns. Expected loss ratios represent management’s expectation of losses at the time the business is priced and written, before any actual claims experience has emerged. This expectation is a significant determinant of the estimate of loss reserves for recently written business where there is little paid or incurred loss data to consider. Expected loss ratios are generally derived from historical loss ratios adjusted for the impact of rate changes, loss cost trends and known changes in the type of risks underwritten. Expected loss ratios are estimated for each key line of business within each business. Expected loss cost inflation is particularly important for the long-tail lines, such as excess casualty, and claims with a high medical component, such as workers’ compensation. Reported and paid loss emergence patterns are used to project current reported or paid loss amounts to their ultimate settlement value. Loss development factors are based on the historical emergence patterns of paid and incurred losses, and are derived from the Company’s own experience and industry data. The paid loss emergence pattern is also significant to excess and assumed workers’ compensation reserves because those reserves are discounted to their estimated present value based upon such estimated payout patterns. Management believes the estimates and assumptions it makes in the reserving process provide the best estimate of the ultimate cost of settling claims and related expenses with respect to insured events which have occurred; however, different assumptions and variables could lead to significantly different reserve estimates.

Loss frequency and severity are measures of loss activity that are considered in determining the key assumptions described in our discussion of loss and loss expense reserves, including expected loss ratios, rate of loss cost inflation and reported and paid loss emergence patterns. Loss frequency is a measure of the number of claims per unit of insured exposure, and loss severity is a measure of the average size of claims. Factors affecting loss frequency include the effectiveness of loss controls and safety programs and changes in economic activity or weather patterns. Factors affecting loss severity include changes in policy limits, retentions, rate of inflation and judicial interpretations.

Another factor affecting estimates of loss frequency and severity is the loss reporting lag, which is the period of time between the occurrence of a loss and the date the loss is reported to the Company. The length of the loss reporting lag affects our ability to accurately predict loss frequency (loss frequencies are more predictable for lines with short reporting lags) as well as the amount of reserves needed for incurred but not reported losses (less IBNR is required for lines with short reporting lags). As a result, loss reserves for lines with short reporting lags are likely to have less variation from initial loss estimates. For lines with short reporting lags, which include commercial automobile, primary workers’ compensation, other liability (claims-made) and property business, the key assumption is the loss emergence pattern used to project ultimate loss estimates from known losses paid or reported to date. For lines of business with long reporting lags, which include other liability (occurrence), products liability, excess workers’ compensation and liability reinsurance, the key assumption is the expected loss ratio since there is often little paid or incurred loss data to consider. Historically, the Company has experienced less variation from its initial loss estimates for lines of businesses with short reporting lags than for lines of business with long reporting lags.

The key assumptions used in calculating the most recent estimate of the loss reserves are reviewed each quarter and adjusted, to the extent necessary, to reflect the latest reported loss data, current trends and other factors observed. If the actual level of loss frequency and severity are higher or lower than expected, the ultimate losses will be different than management’s estimate. The following table reflects the impact of changes (which could be favorable or unfavorable) in frequency and severity, relative to our assumptions, on our loss estimate for claims occurring in 2022:

(In thousands)	Frequency (+/-)
Severity (+/-)	1%		5%		10%
1%	$	116,072	$	349,370	$	640,993
5%	349,370		591,908		895,081
10%	640,993		895,081		1,212,690

Our net reserves for losses and loss expenses of approximately $14.2 billion as of December 31, 2022 relate to multiple accident years. Therefore, the impact of changes in frequency or severity for more than one accident year could be higher or lower than the amounts reflected above. The impact of such changes would likely be manifested gradually over the course of many years, as the magnitude of the changes became evident.

Approximately $3.0 billion, or 21%, of the Company’s net loss reserves as of December 31, 2022 relate to the Reinsurance & Monoline Excess segment. There is a higher degree of uncertainty and greater variability regarding estimates of excess workers' compensation and assumed reinsurance loss reserves. In the case of excess workers’ compensation, our policies generally attach at $1 million or higher. The claims which reach our layer therefore tend to involve the most serious injuries and many remain open for the lifetime of the claimant, which extends the claim settlement tail. These claims also occur less frequently but tend to be larger than primary claims, which increases claim variability. In the case of assumed reinsurance our loss reserve estimates are based, in part, upon information received from ceding companies. If information received from ceding companies is not timely or correct, the Company’s estimate of ultimate losses may not be accurate. Furthermore, due to

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delayed reporting of claim information by ceding companies, the claim settlement tail for assumed reinsurance is also extended. Management considers the impact of delayed reporting and the extended tail in its selection of loss development factors for these lines of business.

Information received from ceding companies is used to set initial expected loss ratios, to establish case reserves and to estimate reserves for incurred but not reported losses on assumed reinsurance business. This information, which is generally provided through reinsurance intermediaries, is gathered through the underwriting process and from periodic claim reports and other correspondence with ceding companies. The Company performs underwriting and claim audits of selected ceding companies to determine the accuracy and completeness of information provided to the Company. The information received from the ceding companies is supplemented by the Company’s own loss development experience with similar lines of business as well as industry loss trends and loss development benchmarks.

Following is a summary of the Company’s reserves for losses and loss expenses by business segment as of December 31, 2022 and 2021:

(In thousands)	2022		2021
Insurance	$	11,233,924	$	10,060,420
Reinsurance & Monoline Excess	3,014,955		2,787,942
Net reserves for losses and loss expenses	14,248,879		12,848,362
Ceded reserves for losses and loss expenses	2,762,344		2,542,526
Gross reserves for losses and loss expenses	$	17,011,223	$	15,390,888

Following is a summary of the Company’s net reserves for losses and loss expenses by major line of business as of December 31, 2022 and 2021:

(In thousands)	Reported Case Reserves		Incurred But Not Reported		Total
December 31, 2022
Other liability	$	1,808,700	$	3,826,444	$	5,635,144
Workers’ compensation (1)	1,023,961		899,215		1,923,176
Professional liability	501,572		1,243,604		1,745,176
Commercial automobile	629,149		528,398		1,157,547
Short-tail lines (2)	403,974		368,907		772,881
Total Insurance	4,367,356		6,866,568		11,233,924
Reinsurance & Monoline Excess (1) (3)	1,551,687		1,463,268		3,014,955
Total	$	5,919,043	$	8,329,836	$	14,248,879
December 31, 2021
Other liability	$	1,724,907	$	3,319,665	$	5,044,572
Workers’ compensation (1)	1,016,014		903,448		1,919,462
Professional liability	468,680		1,019,344		1,488,024
Commercial automobile	504,821		424,382		929,203
Short-tail lines (2)	322,917		356,242		679,159
Total Insurance	4,037,339		6,023,081		10,060,420
Reinsurance & Monoline Excess (1) (3)	1,475,623		1,312,319		2,787,942
Total	$	5,512,962	$	7,335,400	$	12,848,362

____________________

(1)Reserves for excess and assumed workers’ compensation business are net of an aggregate net discount of $416 million and $452 million as of December 31, 2022 and 2021, respectively.

(2)Short-tail lines include commercial multi-peril (non-liability), inland marine, accident and health, fidelity and surety, boiler and machinery and other lines.

(3)Reinsurance & Monoline Excess includes property and casualty reinsurance as well as operations that solely retain risk on an excess basis.

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The Company evaluates reserves for losses and loss expenses on a quarterly basis. Changes in estimates of prior year losses are reported when such changes are made. The changes in prior year loss reserve estimates are generally the result of ongoing analysis of recent loss development trends. Original estimates are increased or decreased as additional information becomes known regarding individual claims and aggregate claim trends.

Certain of the Company's insurance and reinsurance contracts are retrospectively rated, whereby the Company collects more or less premiums based on the level of loss activity. For those contracts, changes in loss and loss expenses for prior years may be fully or partially offset by additional or return premiums.

Net prior year development (i.e, the sum of prior year reserve changes and prior year earned premiums changes) for each of the last three years ended December 31, are as follows:

(In thousands)	2022		2021		2020
Increase in prior year loss reserves	$	(54,511)	$	(863)	$	(627)
Increase in prior year earned premiums	18,106		7,510		16,807
Net (unfavorable) favorable prior year development	$	(36,405)	$	6,647	$	16,180

The COVID-19 global pandemic has impacted, and may further impact, the Company’s results through its effect on claim frequency and severity. Loss cost trends have been impacted and may be further impacted by COVID-19-related claims in certain lines of business. Losses incurred from COVID-19-related claims have been offset, to a certain extent, by lower claim frequency in certain lines of our businesses; however, as the economy and legal systems have reopened, the benefit of lower claim frequency has partially abated. The ultimate net impact of COVID-19 on the Company remains uncertain. New variants of the COVID-19 virus continue to create risks with respect to loss costs and the potential for renewed impact of the other effects of COVID-19 associated with economic conditions, inflation, and social distancing and work from home rules.

Most of the COVID-19-related claims reported to the Company to date involve certain short-tailed lines of business, including contingency and event cancellation, business interruption, and film production delay. The Company has also received COVID-19-related claims for longer-tailed casualty lines of business such as workers’ compensation and other liability; however, the estimated incurred loss impact for these reported claims are not material at this time. Given the continuing uncertainty regarding the pandemic's pervasiveness, the future impact that the pandemic may have on claim frequency and severity remains uncertain at this time.

The Company has estimated the potential COVID-19 impact to its contingency and event cancellation, workers’ compensation, and other lines of business under a number of possible scenarios; however, due to COVID-19’s continued evolving impact, there remains uncertainty around the Company’s COVID-19 reserves. In addition, should the pandemic continue or worsen as a result of new COVID-19 variants or otherwise, governments in the jurisdictions where we operate may impose restrictions, including lockdowns, as well as renew their efforts to expand policy coverage terms beyond the policy’s intended coverage. Accordingly, losses arising from these actions, and the other factors described above, could exceed the Company’s reserves established for those related policies.

As of December 31, 2022, the Company had recognized losses for COVID-19-related claims activity, net of reinsurance, of approximately $341 million, of which $290 million relates to the Insurance segment and $51 million relates to the Reinsurance & Monoline Excess segment. Such $341 million of COVID-19-related losses included $337 million of reported losses and $4 million of IBNR. For the year ended December 31, 2022, the Company recognized current accident year losses for COVID-19-related claims activity, net of reinsurance, of approximately $5 million, of which $3 million relates to the Insurance segment and $2 million relates to the Reinsurance & Monoline Excess segment.

Unfavorable prior year development (net of additional and return premiums) was $36 million in 2022.

Insurance – Reserves for the Insurance segment developed unfavorably by $40 million in 2022 (net of additional and return premiums). The unfavorable development in the segment primarily related to COVID-19 losses at two businesses. These businesses wrote policies providing coverage for event cancellation and film production delay which were heavily impacted by losses directly caused by the COVID-19 pandemic. Most of this COVID-19 related unfavorable development emerged during the third quarter as a result of settlements of claims at values higher than our expectations. However, the Company believes that as a result of these settlements the remaining level of uncertainty around the ultimate value of its known COVID-19 claims has been significantly reduced.

The unfavorable development mentioned above also includes favorable prior year development for the Insurance segment primarily attributable to the 2020 and 2021 accident years and unfavorable development on the 2015 through 2019 accident years. The favorable development on the 2020 and 2021 accident years was concentrated in certain casualty lines of business including general liability, professional liability, and workers’ compensation. The Company experienced lower

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reported claim frequency in these lines of business during 2020 and 2021 relative to historical averages, and continued to experience lower reported incurred losses relative to its expectations for these accident years as they developed during 2022. These trends began in 2020 and we believe were caused by the impacts of the COVID-19 pandemic, including for example, lockdowns, reduced driving/traffic and increased work from home. Due to the ongoing uncertainty regarding the ultimate impacts of the pandemic on accident years 2020 and 2021 incurred losses, the Company has been cautious in reacting to these lower trends in setting and updating its loss ratio estimates for these years. As these accident years have continued to mature, the Company has continued to recognize some of the favorable reported experience in its ultimate loss estimates made during 2022.

The unfavorable development on the 2015 through 2019 accident years was concentrated in the general liability and professional liability, including medical professional, lines of business, as well as commercial auto liability. The development was driven by a larger than expected number of large losses reported. The Company believes social inflation is contributing to an increase in the frequency of large losses for these accident years. Social inflation can include higher settlement demands from plaintiffs, use of tactics such as litigation funding by the plaintiffs’ bar, negative public sentiment towards large businesses and corporations, and erosion of tort reforms, among others.

Reinsurance & Monoline Excess – Reserves for the Reinsurance & Monoline Excess segment developed favorably by $4 million in 2022 (net of additional and return premiums). The overall favorable development for the segment was driven mainly by favorable development in excess workers compensation, substantially offset by unfavorable development in the professional liability and non-proportional reinsurance assumed liability lines of business. The favorable excess workers’ compensation development was spread across most prior accident years, including 2012 and prior years, and was driven by a review of the Company’s claim reporting patterns as well as a number of favorable claim settlements relative to expectations. The unfavorable professional liability and non-proportional reinsurance assumed liability development was concentrated mainly in accident years 2016 through 2018 and was associated primarily with our U.S. assumed reinsurance business and related to accounts insuring construction projects and professional liability exposures.

Favorable prior year development (net of additional and return premiums) was $7 million in 2021.

Insurance – Reserves for the Insurance segment developed favorably by $20 million in 2021 (net of additional and return premiums). The overall favorable development in 2021 was attributable to favorable development on the 2020 accident year, partially offset by adverse development on the 2016 through 2019 accident years.

The favorable development on the 2020 accident year was largely concentrated in the commercial auto liability and other liability lines of business, including commercial multi-peril liability. During 2020 the Company achieved larger rate increases in these lines of business than were contemplated in its budget and in its initial loss ratio selections. The Company also experienced significantly lower reported claim frequency in these lines in 2020 relative to historical averages, and lower reported incurred losses relative to its expectations. We believe that the lower claim frequency and lower reported incurred losses were caused by the impacts of the COVID-19 pandemic, for example, lockdowns, reduced driving and traffic, work from home, and court closures. However, due to the uncertainty regarding the ultimate impacts of the pandemic on accident year 2020 incurred losses, the Company elected not to react to these lower reported trends during 2020. As more information became available and the 2020 accident year continued to mature, during 2021 the Company started to recognize favorable accident year 2020 development in response to the continuing favorable reported loss experience relative to its expectations.

The adverse development on the 2016 through 2019 accident years is concentrated largely in the other liability line of business, including commercial multi-peril liability, but is also seen to a lesser extent in commercial auto liability. The adverse development for these accident years is driven by a higher than expected number of large losses reported, and particularly impacted the directors and officers liability, lawyers professional liability, and excess and surplus lines casualty classes of business. We also believe that increased social inflation is contributing to the increased number of large losses, for example, higher jury awards on cases which go to trial, and the corresponding higher demands from plaintiffs and higher values required to reach settlement on cases which do not go to trial.

Reinsurance & Monoline Excess – Reserves for the Reinsurance & Monoline Excess segment developed unfavorably by $13 million in 2021. The unfavorable development in the segment was driven by the non-proportional reinsurance assumed liability and other liability lines of business, related primarily to accident years 2017 through 2019, and was partially offset by favorable development in excess workers’ compensation business which was spread across many prior accident years. The unfavorable non-proportional reinsurance assumed liability and other liability development was associated with our U.S. and U.K. assumed reinsurance business, and related primarily to accounts insuring construction projects and professional liability exposures.

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Favorable prior year development (net of additional and return premiums) was $16 million in 2020.

Insurance - Reserves for the Insurance segment developed favorably by $24 million in 2020 (net of additional and return premiums). Continuing the pattern seen in recent years, the overall favorable development in 2020 resulted from more significant favorable development on workers’ compensation business, which was partially offset by unfavorable development on professional liability, including excess professional liability

For workers’ compensation, the favorable development was spread across almost all prior accident years, including prior to 2011, but was most significant in accident years 2016 through 2019. The favorable workers’ compensation development reflects a continuation of the benign loss cost trends experienced during recent years, particularly the favorable claim frequency trends (i.e., number of reported claims per unit of exposure). The long term trend of declining workers’ compensation frequency can be attributable to improved workplace safety. Loss severity trends were also aided by our continued investment in claims handling initiatives such as medical case management services and vendor savings through usage of preferred provider networks and pharmacy benefit managers. Reported workers’ compensation losses in 2020 continued to be below our expectations at most of our businesses, and were below the assumptions underlying our initial loss ratio picks and our previous reserve estimates for most prior accident years.

For professional liability business, unfavorable development was driven mainly by large losses reported in the directors and officers (“D&O”), lawyers professional and excess hospital professional liability lines of business. For these lines of business, we continue to see an increase in the number of large losses reported and a lengthening of the reporting “tail” beyond historical levels. We believe a contributing cause is rising social inflation in the form of, for example, higher jury awards on cases that go to trial, and the corresponding higher demands from plaintiffs and higher values required to reach settlement on cases that do not go to trial. The unfavorable development for professional liability affected mainly accident years 2016 through 2018.

Reinsurance & Monoline Excess – Reserves for the Reinsurance & Monoline Excess segment developed unfavorably by $8 million in 2020. The unfavorable development in the segment was driven by non-proportional assumed liability business written in both the U.S. and U.K., and was partially offset by favorable development on excess workers’ compensation business. The unfavorable non-proportional assumed liability development was concentrated in accident years 2014 through 2018, and related primarily to accounts insuring construction projects and professional liability exposures.

Reserve Discount. The Company discounts its liabilities for certain workers’ compensation reserves. The amount of workers’ compensation reserves that were discounted was $1,267 million and $1,387 million at December 31, 2022 and 2021, respectively. The aggregate net discount for those reserves, after reflecting the effects of ceded reinsurance, was $416 million and $452 million at December 31, 2022 and 2021, respectively. At December 31, 2022, discount rates by year ranged from 0.7% to 6.5%, with a weighted average discount rate of 3.4%.

Substantially all discounted workers’ compensation reserves (97% of total discounted reserves at December 31, 2022) are excess workers’ compensation reserves. In order to properly match loss expenses with income earned on investment securities supporting the liabilities, reserves for excess workers’ compensation business are discounted using risk-free discount rates determined by reference to the U.S. Treasury yield curve. These rates are determined annually based on the weighted average rate for the period. Once established, no adjustments are made to the discount rate for that period, and any increases or decreases in loss reserves in subsequent years are discounted at the same rate, without regard to when any such adjustments are recognized. The expected loss and loss expense payout patterns subject to discounting are derived from the Company’s loss payout experience.

The Company also discounts reserves for certain other long-duration workers’ compensation reserves (representing approximately 3% of total discounted reserves at December 31, 2022), including reserves for quota share reinsurance and reserves related to losses regarding occupational lung disease. These reserves are discounted at statutory rates prescribed or permitted by the Department of Insurance of the State of Delaware.

Assumed Reinsurance Premiums. The Company estimates the amount of assumed reinsurance premiums that it will receive under treaty reinsurance agreements at the inception of the contracts. These premium estimates are revised as the actual amount of assumed premiums is reported to the Company by the ceding companies. As estimates of assumed premiums are made or revised, the related amount of earned premiums, commissions and incurred losses associated with those premiums are recorded. Estimated assumed premiums receivable were approximately $60 million at both December 31, 2022 and 2021. The assumed premium estimates are based upon terms set forth in reinsurance agreements, information received from ceding companies during the underwriting and negotiation of agreements, reports received from ceding companies and discussions and correspondence with reinsurance intermediaries. The Company also considers its own view of market conditions, economic trends and experience with similar lines of business. These premium estimates represent management’s best estimate of the ultimate amount of premiums to be received under its assumed reinsurance agreements.

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Allowance for Expected Credit Losses on Investments.

Fixed Maturity Securities – For fixed maturity securities in an unrealized loss position where the Company intends to sell, or it is more likely than not that it will be required to sell the security before recovery in value, the amortized cost basis is written down to fair value through net investment gains (losses). For fixed maturity securities in an unrealized loss position where the Company does not intend to sell, or it is more likely than not that it will not be required to sell the security before recovery in value, the Company evaluates whether the decline in fair value has resulted from credit losses or all other factors (non-credit factors). In making this assessment, the Company considers the extent to which fair value is less than amortized cost, changes to the rating of the security by a rating agency, and adverse conditions specifically related to the security, among other factors. If this assessment indicates that a credit loss exists, the present value of cash flows expected to be collected from the security are compared to the amortized cost basis of the security. If the present value of cash flows expected to be collected is less than the amortized cost basis, an allowance for expected credit losses is recorded for the credit loss through net investment gains (losses), limited by the amount that the fair value is less than the amortized cost basis. Effective January 1, 2020, the allowance is adjusted for any change in expected credit losses and subsequent recoveries through net investment gains (losses). The impairment related to non-credit factors is recognized in other comprehensive income (loss).

    The Company’s credit assessment of allowance for expected credit losses uses a third party model for available for sale and held to maturity securities, as well as loans receivable. The allowance for expected credit losses is generally based on the performance of the underlying collateral under various economic and default scenarios that involve subjective judgments and estimates by management. Modeling these securities involves various factors, such as projected default rates, the nature and realizable value of the collateral, if any, the ability of the issuer to make scheduled payments, historical performance and other relevant economic and performance factors. A discounted cash flow analysis is used to ascertain the amount of the allowance for expected credit losses, if any. In general, the model reverts to the rating-level long-term average marginal default rates based on 10 years of historical data, beyond the forecast period. For other inputs, the model in most cases reverts to the baseline long-term assumptions linearly over 5 years beyond the forecast period. The long-term assumptions are based on the historical averages.

    The Company classifies its fixed maturity securities by credit rating, primarily based on ratings assigned by credit rating agencies. For purposes of classifying securities with different ratings, the Company uses the average of the credit ratings assigned, unless in limited situations the Company’s own analysis indicates an internal rating is more appropriate. Securities that are not rated by a rating agency are evaluated and classified by the Company on a case-by-case basis.

A summary of the Company’s non-investment grade fixed maturity securities that were in an unrealized loss position at December 31, 2022 is presented in the table below.

($ in thousands)	Number of Securities	Aggregate Fair Value		Unrealized Loss
Foreign government	36	$	119,332	$	73,900
Corporate	10	39,347		4,649
State and municipal	1	12,247		2,756
Mortgage-backed securities	14	4,464		269
Asset-backed securities	1	16		10
Total	62	$	175,406	$	81,584

As of December 31, 2022, the Company has recorded an allowance for expected credit losses on fixed maturity securities of $37 million. The Company has evaluated the remaining fixed maturity securities in an unrealized loss position and believes the unrealized losses are due primarily to temporary market and sector-related factors rather than to issuer-specific factors. None of these securities are delinquent or in default under financial covenants. Based on its assessment of these issuers, the Company expects them to continue to meet their contractual payment obligations as they become due.

Loans Receivable – For loans receivable, the Company estimates an allowance for expected credit losses based on relevant information about past events, including historical loss experience, current conditions and forecasts that affect the expected collectability of the amortized cost of the financial asset. The allowance for expected credit losses is presented as a reduction to amortized cost of the financial asset in the consolidated balance sheet and changes to the estimate for expected credit losses are recognized through net investment gains (losses). Loans receivable are reported net of an allowance for expected credit losses of $2 million as of both December 31, 2022 and 2021.

Fair Value Measurements. The Company’s fixed maturity available for sale securities, equity securities, and its trading account securities are carried at fair value. Fair value is defined as "the price that would be received to sell an asset or

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paid to transfer a liability in an orderly transaction between market participants at the measurement date". The Company utilizes a fair value hierarchy that prioritizes the inputs to valuation techniques used to measure fair value into three broad levels. Level 1 inputs are quoted prices (unadjusted) in active markets for identical assets or liabilities that the reporting entity has the ability to access at the measurement date. Level 2 inputs are inputs other than quoted prices included within Level 1 that are observable for similar assets in active markets. Level 3 inputs are unobservable inputs for the asset or liability. Unobservable inputs may only be used to measure fair value to the extent that observable inputs are not available. The fair value of the vast majority of the Company’s portfolio is based on observable data (other than quoted prices) and, accordingly, is classified as Level 2.

In classifying particular financial securities in the fair value hierarchy, the Company uses its judgment to determine whether the market for a security is active and whether significant pricing inputs are observable. The Company determines the existence of an active market by assessing whether transactions occur with sufficient frequency and volume to provide reliable pricing information. The Company determines whether inputs are observable based on the use of such information by pricing services and external investment managers, the uninterrupted availability of such inputs, the need to make significant adjustments to such inputs and the volatility of such inputs over time. If the market for a security is determined to be inactive or if significant inputs used to price a security are determined to be unobservable, the security is categorized in Level 3 of the fair value hierarchy.

Because many fixed maturity securities do not trade on a daily basis, the Company utilizes pricing models and processes which may include benchmark curves, benchmarking of like securities, sector groupings and matrix pricing. Market inputs used to evaluate securities include benchmark yields, reported trades, broker/dealer quotes, issuer spreads, two-sided markets, benchmark securities, bids, offers and reference data. Quoted prices are often unavailable for recently issued securities that are infrequently traded or securities that are only traded in private transactions. For publicly traded securities for which quoted prices are unavailable, the Company determines fair value based on independent broker quotations and other observable market data. For securities traded only in private negotiations, the Company determines fair value based primarily on the cost of such securities, which is adjusted to reflect prices of recent placements of securities of the same issuer, financial data, projections and business developments of the issuer and other relevant information.

The following is a summary of pricing sources for the Company's fixed maturity securities available for sale as of December 31, 2022:

(In thousands)	Carrying Value		Percent of Total
Pricing source:
Independent pricing services	$	17,025,723	97.1	%
Syndicate manager	62,966		0.4
Directly by the Company based on:
Observable data	447,364		2.5
Total	$	17,536,053	100.0	%

Independent pricing services - Substantially all of the Company’s fixed maturity securities available for sale were priced by independent pricing services (generally one U.S. pricing service plus additional pricing services with respect to a limited number of foreign securities held by the Company). The prices provided by the independent pricing services are generally based on observable market data in active markets (e.g., broker quotes and prices observed for comparable securities). The determination of whether markets are active or inactive is based upon the volume and level of activity for a particular asset class. The Company reviews the prices provided by pricing services for reasonableness based upon current trading levels for similar securities. If the prices appear unusual to the Company, they are re-examined and the value is either confirmed or revised. In addition, the Company periodically performs independent price tests of a sample of securities to ensure proper valuation and to verify our understanding of how securities are priced. As of December 31, 2022, the Company did not make any adjustments to the prices provided by the pricing services. Based upon the Company’s review of the methodologies used by the independent pricing services, these securities were classified as Level 2.

Syndicate manager – The Company has a 15% participation in a Lloyd’s syndicate, and the Company’s share of the securities owned by the syndicate is priced by the syndicate’s manager. The majority of the securities are liquid, short duration fixed maturity securities. The Company reviews the syndicate manager’s pricing methodology and audited financial statements and holds discussions with the syndicate manager as necessary to confirm its understanding and agreement with security prices. Based upon the Company’s review of the methodologies used by the syndicate manager, these securities were classified as Level 2.

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Observable data – If independent pricing is not available, the Company prices the securities directly. Prices are based on observable market data where available, including current trading levels for similar securities and non-binding quotations from brokers. The Company generally requests two or more quotes. If more than one quote is received, the Company sets a price within the range of quotes received based on its assessment of the credibility of the quote and its own evaluation of the security. The Company generally does not adjust quotes obtained from brokers. Since these securities were priced based on observable data, they were classified as Level 2.

Cash flow model – If the above methodologies are not available, the Company prices securities using a discounted cash flow model based upon assumptions as to prevailing credit spreads, interest rates and interest rate volatility, time to maturity and subordination levels. Discount rates are adjusted to reflect illiquidity where appropriate. These securities were classified as Level 3.

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Results of Operations for the Years Ended December 31, 2022 and 2021

Business Segment Results

Following is a summary of gross and net premiums written, net premiums earned, loss ratios (losses and loss expenses incurred expressed as a percentage of net premiums earned), expense ratios (underwriting expenses expressed as a percentage of net premiums earned) and GAAP combined ratios (sum of loss ratio and expense ratio) for each of our business segments for the years ended December 31, 2022 and 2021. The GAAP combined ratio represents a measure of underwriting profitability, excluding investment income. A GAAP combined ratio in excess of 100 indicates an underwriting loss; a number below 100 indicates an underwriting profit. 

(In thousands)	2022			2021
Insurance
Gross premiums written	$	10,583,785		$	9,471,667
Net premiums written	8,784,146			7,743,814
Net premiums earned	8,369,062			7,077,708
Loss ratio	61.3		%	61.1		%
Expense ratio	27.9			28.3
GAAP combined ratio	89.2			89.4
Reinsurance & Monoline Excess
Gross premiums written	$	1,325,267		$	1,228,467
Net premiums written	1,219,924			1,119,053
Net premiums earned	1,192,367			1,028,323
Loss ratio	61.3		%	61.0		%
Expense ratio	28.4			29.7
GAAP combined ratio	89.7			90.7
Consolidated
Gross premiums written	$	11,909,052		$	10,700,134
Net premiums written	10,004,070			8,862,867
Net premiums earned	9,561,429			8,106,031
Loss ratio	61.3		%	61.1		%
Expense ratio	28.0			28.5
GAAP combined ratio	89.3			89.6

Net Income to Common Stockholders. The following table presents the Company’s net income to common stockholders and net income per diluted share for the years ended December 31, 2022 and 2021.

(In thousands, except per share data)	2022		2021
Net income to common stockholders	$	1,381,062	$	1,022,490
Weighted average diluted shares	279,461		279,749
Net income per diluted share	$	4.94	$	3.66

The Company reported net income of $1,381 million in 2022 compared to $1,022 million in 2021. The $359 million increase in net income was primarily due to an after-tax increase in underwriting income of $145 million mainly due to the growth in premium rates and exposure as well as reductions in expense ratio driven by net earned premium growth outpacing expense growth, an after-tax increase in net investment gains of $90 million primarily due to the sale of a real estate investment in London as well as change in market value of equity securities, an after-tax increase in net investment income of $87 million primarily due to rising interest rates and a larger investment portfolio related to fixed maturity securities, an after-tax increase in foreign currency gains of $20 million, an after-tax reduction in interest expenses of $14 million due to debt repayment and refinancings, an after-tax reduction on debt extinguishment expense of $9 million for debt redeemed in 2021, an after-tax increase in profit from insurance service businesses of $5 million, an after-tax increase of $5 million in minority interest and a reduction of $2 million in tax expense due to a change in the effective tax rate, partially offset by an after-tax increase in corporate expenses of $17 million mainly due to performance-based compensation costs and an after-tax decrease in profits from non-insurance businesses of $1 million. The number of weighted average diluted shares decreased by 0.3 million for 2022 compared to 2021 mainly reflecting shares repurchased in 2021 and 2022.

Premiums. Gross premiums written were $11,909 million in 2022, an increase of 11% from $10,700 million in 2021. The increase was due to the growth in the Insurance segment of $1,112 million and $97 million in the Reinsurance & Monoline

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Excess segment. Approximately 82% of premiums expiring were renewed in both 2022 and 2021.

Average renewal premium rates for insurance and facultative reinsurance increased 6.4% in 2022 and 9.1% in 2021, when adjusted for changes in exposures. Average renewal premium rates for insurance and facultative reinsurance excluding workers' compensation increased 7.5% in 2022 and 10.4% in 2021, when adjusted for changes in exposures.

A summary of gross premiums written in 2022 compared with 2021 by line of business within each business segment follows:

•Insurance gross premiums increased 12% to $10,584 million in 2022 from $9,472 million in 2021. Gross premiums increased $539 million (16%) for other liability, $354 million (17%) for short-tail lines, $143 million (12%) for commercial auto, $70 million (6%) for workers' compensation and $6 million (0.4%) for professional liability.

•Reinsurance & Monoline Excess gross premiums increased 8% to $1,325 million in 2022 from $1,228 million in 2021. Gross premiums written increased $58 million (8%) for casualty lines, $28 million (12%) for property lines and $11 million (5%) for monoline excess.

Net premiums written were $10,004 million in 2022, an increase of 13% from $8,863 million in 2021. Ceded reinsurance premiums as a percentage of gross written premiums were 16% in 2022 and 17% in 2021.

Premiums earned increased 18% to $9,561 million in 2022 from $8,106 million in 2021. Insurance premiums (including the impact of rate changes) are generally earned evenly over the policy term, and accordingly recent rate increases will be earned over the upcoming quarters. Premiums earned in 2022 are related to business written during both 2022 and 2021. Audit premiums were $312 million in 2022 compared with $195 million in 2021.

Net Investment Income. Following is a summary of net investment income for the years ended December 31, 2022 and 2021:

	Amount				Average Annualized Yield
(In thousands)	2022		2021		2022		2021
Fixed maturity securities, including cash and cash equivalents and loans receivable	$	549,281	$	382,001	2.9	%	2.2	%
Investment funds	145,099		220,014		8.9		15.8
Equity securities	52,600		32,020		4.9		5.0
Arbitrage trading account	45,213		37,676		4.0		5.3
Real estate	(3,087)		7,703		(0.2)		0.4
Gross investment income	789,106		679,414		3.2		3.1
Investment expenses	(9,921)		(7,796)		—		—
Total	$	779,185	$	671,618	3.2	%	3.0	%

Net investment income increased 16% to $779 million in 2022 from $672 million in 2021 due primarily to an $167 million increase in income from fixed maturity securities mainly driven by rising interest rates and a larger investment portfolio, a $21 million increase from equity securities and a $7 million increase from the arbitrage trading account, partially offset by a $75 million decrease in income from investment funds primarily due to financial service funds, an $11 million decrease in real estate and a $2 million increase in investment expenses. Investment funds are reported on a one quarter lag. The average annualized yield for fixed maturity securities was 2.9% in 2022 and 2.2% in 2021. The effective duration of the fixed maturity portfolio was 2.4 years at both December 31, 2022 and 2021. The Company maintained the shortened duration of its fixed maturity security portfolio, thereby reducing the potential impact of mark-to-market on the portfolio and positioning the Company to react quickly to changes in the current interest rate environment. Average invested assets, at cost (including cash and cash equivalents), were $24.4 billion in 2022 and $22.2 billion in 2021.

Insurance Service Fees. The Company earns fees from an insurance distribution business, a third-party administrator, and as a servicing carrier of workers' compensation assigned risk plans for certain states. Insurance service fees increased to $111 million in 2022 from $94 million in 2021 due to organic growth within the business.

Net Realized and Unrealized Gains on Investments. The Company buys and sells securities and other investment assets on a regular basis in order to maximize its total return on investments. Decisions to sell securities and other investment assets are based on management’s view of the underlying fundamentals of specific investments as well as management’s expectations regarding interest rates, credit spreads, currency values and general economic conditions. Net realized and unrealized gains on investments were $217 million in 2022 compared with $107 million in 2021. In 2022, the gains reflected net realized gains on investments of $218 million (primarily due to a $251 million net gain from sale of a real estate investment in London after

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transaction expenses and the foreign currency impact including reversal of the currency translation adjustment), partially offset by a change in unrealized losses on equity securities of $1 million. In 2021, the gains reflected net realized gains on investments of $145 million (primarily due to the sale of certain real estate assets and the disposition of an investment fund), partially offset by an increase in unrealized losses on equity securities of $38 million.

Change in Allowance for Expected Credit Losses on Investments. Based on credit factors, the allowance for expected credit losses is increased or decreased depending on the percentage of unrealized loss relative to amortized cost by security, changes in rating of the security by a rating agency, and adverse conditions specifically related to the security, among other factors. For the year ended December 31, 2022, the pre-tax change in allowance for expected credit losses on investments increased by $15 million ($12 million after-tax), which is reflected in net investment gains, primarily due to change in estimate. For the year ended December 31, 2021, the pre-tax change in allowance for expected credit losses on investments increased by $16 million ($13 million after-tax), which is reflected in net investment gains, primarily related to foreign government securities which did not previously have an allowance.

Revenues from Non-Insurance Businesses. Revenues from non-insurance businesses were derived from businesses engaged in the distribution of promotional merchandise, world-wide textile solutions, and aviation-related businesses that provide services to aviation markets, including (i) the distribution, manufacturing, repair and overhaul of aircraft parts and components, (ii) the sale of new and used aircraft, and (iii) avionics, fuel, maintenance, storage and charter services. Revenues from non-insurance businesses were $510 million in 2022 and $489 million in 2021. The increase mainly relates to the business recovery from COVID-19 on promotional merchandise and textile business as well as a newly acquired commercial and residential textile business in 2022, partially offset by a decrease for the aviation-related business.

Losses and Loss Expenses. Losses and loss expenses increased to $5,862 million in 2022 from $4,954 million in 2021. The consolidated loss ratio was 61.3% in 2022 and 61.1% in 2021. Catastrophe losses, net of reinsurance recoveries, were $212 million (including current accident year losses of approximately $5 million related to COVID-19) in 2022 compared with $202 million in 2021 (including losses of approximately $58 million related to COVID-19). Adverse prior year reserve development (net of premium offsets) was $36 million in 2022 and favorable prior year reserve development was $7 million in 2021 (refer to Note 14 of our consolidated financial statements for more detail). The loss ratio excluding catastrophe losses and prior year reserve development was 58.7% in both 2022 and 2021.

A summary of loss ratios in 2022 compared with 2021 by business segment follows:

•Insurance - The loss ratio of 61.3% in 2022 was 0.2 points higher than the loss ratio of 61.1% in 2021. Catastrophe losses were $127 million in 2022 compared with $150 million in 2021. The Company reflected a best estimate (net of reinsurance) based upon available information for current accident year COVID-19-related losses of approximately $3 million. Adverse prior year reserve development was $40 million in 2022, driven by two businesses that wrote policies providing coverage for event cancellation, and film production delay which were heavily impacted by losses directly caused by the COVID-19 pandemic and favorable prior year reserve development was $20 million in 2021. The loss ratio excluding catastrophe losses and prior year reserve development was 59.3% in both 2022 and 2021.

•Reinsurance & Monoline Excess - The loss ratio of 61.3% in 2022 was 0.3 points higher than the loss ratio of 61.0% in 2021. Catastrophe losses were $85 million in 2022 compared with $52 million in 2021.The Company reflected a best estimate (net of reinsurance) based upon available information for current accident year COVID-19-related losses of approximately $2 million. Favorable prior year reserve development was $4 million in 2022, and adverse prior year reserve development was $13 million in 2021. The loss ratio excluding catastrophe losses and prior year reserve development decreased 0.2 points to 54.5% in 2022 from 54.7% in 2021.

Other Operating Costs and Expenses. Following is a summary of other operating costs and expenses:

(In thousands)	2022		2021
Policy acquisition and insurance operating expenses	$	2,673,903	$	2,306,727
Insurance service expenses	96,419		86,003
Net foreign currency gains	(50,930)		(25,725)
Debt extinguishment costs	—		11,521
Other costs and expenses	242,113		220,744
Total	$	2,961,505	$	2,599,270

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Policy acquisition and insurance operating expenses are comprised of commissions paid to agents and brokers, premium taxes and other assessments and internal underwriting costs. Policy acquisition and insurance operating expenses increased 16% from 2021, while net premiums earned increased 18% over that period. The expense ratio (underwriting expenses expressed as a percentage of net premiums earned) was 28.0% in 2022, down from 28.5% in 2021. The improvement is primarily attributable to higher net premiums earned outpacing compensation expense growth. However, to the extent our net premiums earned decrease or travel and entertainment expenses increase, our expense ratio would be expected to increase.

Service expenses, which represent the costs associated with the fee-based businesses, was $96 million in 2022 and $86 million in 2021 due to the organic growth within the business.

Net foreign currency gains result from transactions denominated in a currency other than a businesses’ functional currency. Net foreign currency gains was $51 million in 2022 and $26 million in 2021, mainly related to the strengthening of the U.S. dollar compared to the majority of other currencies.

Debt extinguishment costs of $12 million in 2021 related to the redemption of $400 million of subordinated debentures in March and June 2021 that were due in 2056.

Other costs and expenses represent general and administrative expenses of the parent company and other expenses not allocated to business segments, including the cost of certain long-term incentive plans and new business ventures. Other costs and expenses increased to $242 million in 2022 from $221 million in 2021, primarily due to the increase in performance-based compensation costs in 2022.

Expenses from Non-Insurance Businesses. Expenses from non-insurance businesses represent costs associated with businesses engaged in the distribution of promotional merchandise, world-wide textile solutions, and aviation-related businesses that include (i) cost of goods sold related to aircraft and products sold and services provided and (ii) general and administrative expenses. Expenses from non-insurance businesses were $493 million in 2022 compared to $472 million in 2021. The increase mainly relates to the business recovery from COVID-19 on promotional merchandise and textile business as well as a newly acquired residential and commercial textile business in 2022, partially offset by a decrease for the aviation-related business.

Interest Expense. Interest expense was $130 million in 2022 and $147 million in 2021. In March 2021, the Company issued $400 million aggregate principal amount of 3.55% senior notes due 2052 and redeemed its $110 million aggregate principal amount of 5.90% subordinated debentures due 2056. In June 2021, the Company redeemed the $290 million aggregate principal amount of its 5.75% subordinated debentures due 2056. In September 2021, the Company issued $350 million aggregate principal amount of 3.15% senior notes due 2061.

In the first quarter of 2022, the Company repaid at maturity its $77 million aggregate principal amount of 8.7% senior notes in January and its $350 million aggregate principal amount of 4.625% senior notes in March. The above redemptions during the year ended December 31, 2021 resulted in debt extinguishment costs of $12 million. Additionally, in the second quarter of 2021, the Company sold a real estate asset, which resulted in a $102 million reduction of the Company's non-recourse debt that was supporting the property.

The repayment at maturity and redemption of senior notes and debentures and issuance of additional senior notes and debentures in 2022 and 2021 decreased interest expense in 2022.

Income Taxes. The effective income tax rate was 19.5% in 2022 and 19.6% in 2021. The lower effective income tax rate for 2022 was primarily due to a net reduction in the Company’s valuation allowance against foreign tax credits and foreign net operating losses. The effective income tax rate reflects tax benefits attributable to tax-exempt investment income and equity-based compensation in both periods. See Note 17 of the Consolidated Financial Statements for a reconciliation of the income tax expense and the amounts computed by applying the Federal income tax rate of 21%.

The Company has not provided U.S. deferred income taxes on the undistributed earnings of approximately $169 million of its non-U.S. subsidiaries since these earnings are intended to be permanently reinvested in the non-U.S. subsidiaries. In the future, if such earnings were distributed the Company projects that the incremental tax, if any, will be immaterial.

On August 16, 2022, the Inflation Reduction Act of 2022 was enacted. Among other things, the legislation introduced a corporate alternative minimum tax on certain corporations. The tax is applicable for taxable years beginning after December 31, 2022 and imposes a 15% minimum tax on a corporation’s applicable financial statement income. We are continuing to evaluate the overall impact of this tax legislation on our operations and U.S. federal income tax position at this time.

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Results of Operations for the Years Ended December 31, 2021 and 2020

For a comparison of the Company’s results of operations for the year ended December 31, 2021 to the year ended December 31, 2020, see Item 7, Management’s Discussion and Analysis of Financial Condition and Results of Operations in the Company’s Annual Report on Form 10-K for the year ended December 31, 2021, which was filed with the Securities and Exchange Commission on February 24, 2022.

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Investments

As part of its investment strategy, the Company establishes a level of cash and highly liquid short-term and intermediate-term securities that, combined with expected cash flow, it believes is adequate to meet its payment obligations. In addition to fixed-maturity securities, the Company invests in equity securities, merger arbitrage securities, investment funds, private equity, loans and real estate related assets. The Company's investments in investment funds and its other alternative investments have experienced, and the Company expects to continue to experience, greater fluctuations in investment income.

The Company also attempts to maintain an appropriate relationship between the effective duration of the investment portfolio and the approximate duration of its liabilities (i.e., policy claims and debt obligations). The effective duration of the investment portfolio was 2.4 years at both December 31, 2022 and 2021, respectively. The Company’s investment portfolio and investment-related assets as of December 31, 2022 were as follows:

($ in thousands)	Carrying Value		Percent of Total
Fixed maturity securities:
U.S. government and government agencies	$	892,258	3.7	%
State and municipal:
Special revenue	1,721,497		7.1
Local general obligation	441,097		1.8
State general obligation	416,713		1.7
Corporate backed	199,639		0.8
Pre-refunded (1)	158,840		0.6
Total state and municipal	2,937,786		12.0
Mortgage-backed securities:
Agency	901,332		3.7
Commercial	528,609		2.2
Residential-Prime	235,315		1.0
Residential-Alt A	3,762		—
Total mortgage-backed securities	1,669,018		6.9
Asset-backed securities	3,982,773		16.4
Corporate:
Industrial	3,252,999		13.4
Financial	2,470,372		10.2
Utilities	551,048		2.3
Other	429,573		1.7
Total corporate	6,703,992		27.6
Foreign government	1,401,522		5.8
Total fixed maturity securities	17,587,349		72.4
Equity securities available for sale:
Common stocks	982,751		4.0
Preferred stocks	203,143		0.8
Total equity securities available for sale	1,185,894		4.8
Investment funds	1,608,548		6.6
Cash and cash equivalents	1,449,346		6.0
Real estate	1,340,622		5.5
Arbitrage trading account	944,230		3.9
Loans receivable	193,002		0.8
Total investments	$	24,308,991	100.0	%

______________

(1)Pre-refunded securities are securities for which an escrow account has been established to fund the remaining payments of principal and interest through maturity. Such escrow accounts are funded almost exclusively with U.S. Treasury and U.S. government agency securities.

Fixed Maturity Securities. The Company’s investment policy with respect to fixed maturity securities is generally to purchase instruments with the expectation of holding them to their maturity. However, management of the available for sale

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portfolio is considered necessary to maintain an approximate matching of assets and liabilities as well as to adjust the portfolio as a result of changes in financial market conditions and tax considerations.

The Company’s philosophy related to holding or selling fixed maturity securities is based on its objective of maximizing total return. The key factors that management considers in its investment decisions as to whether to hold or sell fixed maturity securities are its view of the underlying fundamentals of specific securities as well as its expectations regarding interest rates, credit spreads and currency values. In a period in which management expects interest rates to rise, the Company may sell longer duration securities in order to mitigate the impact of an interest rate rise on the fair value of the portfolio. Similarly, in a period in which management expects credit spreads to widen, the Company may sell lower quality securities, and in a period in which management expects certain foreign currencies to decline in value, the Company may sell securities denominated in those foreign currencies. The sale of fixed maturity securities in order to achieve the objective of maximizing total return may result in realized gains; however, there is no reason to expect these gains to continue in future periods.

Equity Securities. Equity securities primarily represent investments in common and preferred stocks in companies with potential growth opportunities in different sectors, mainly in the financial institutions and energy sectors.

Investment Funds. At December 31, 2022, the carrying value of investment funds was $1,609 million, including investments in financial services funds of $466 million, other funds of $370 million (which includes a deferred compensation trust asset of $30 million), transportation funds of $337 million, real estate funds of $205 million, energy funds of $116 million, and infrastructure funds of $115 million. Investment funds are primarily reported on a one-quarter lag.

Real Estate. Real estate is directly owned property held for investment. At December 31, 2022, real estate properties in operation included a long-term ground lease in Washington D.C., an office complex in New York City and the completed portion of a mixed-use project in Washington D.C. In addition, part of the previously mentioned mixed-use project in Washington D.C. is under development. The Company expects to fund further development costs for the project with a combination of its own funds and external financing. During the first quarter of 2022, the Company sold an office building in London.

Arbitrage Trading Account. The arbitrage trading account is comprised of direct investments in arbitrage securities. Merger arbitrage is the business of investing in the securities of publicly held companies that are the targets in announced tender offers and mergers.

Loans Receivable. Loans receivable, net of allowance for expected credit losses, had an amortized cost of $193 million and an aggregate fair value of $188 million at December 31, 2022. The amortized cost of loans receivable is net of an allowance for expected credit losses of $2 million as of December 31, 2022. Loans receivable include real estate loans of $174 million that are secured by commercial and residential real estate located primarily in London and New York. Real estate loans generally earn interest at fixed or stepped interest rates and have maturities through 2026. Loans receivable include commercial loans of $19 million that are secured by business assets and have fixed interest rates with varying maturities not exceeding 10 years.

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Liquidity and Capital Resources

Cash Flow. Cash flow provided from operating activities increased to $2,569 million in 2022 from $2,184 million in 2021, primarily due to an increase in premium receipts partially offset by increased loss and loss expense payments.

The Company's insurance subsidiaries' principal sources of cash are premiums, investment income, service fees and proceeds from sales and maturities of portfolio investments. The principal uses of cash are payments for claims, taxes, operating expenses and dividends. The Company expects its insurance subsidiaries to fund the payment of losses with cash received from premiums, investment income and fees. The Company generally targets an average duration for its investment portfolio that is within 1.5 years of the average duration of its liabilities so that portions of its investment portfolio mature throughout the claim cycle and are available for the payment of claims if necessary. In the event operating cash flow and proceeds from maturities and prepayments of fixed maturity securities are not sufficient to fund claim payments and other cash requirements, the remainder of the Company's cash and investments is available to pay claims and other obligations as they become due. The Company's investment portfolio is highly liquid, with approximately 76% invested in cash, cash equivalents and marketable fixed maturity securities as of December 31, 2022. If the sale of fixed maturity securities were to become necessary, a realized gain or loss equal to the difference between the cost and sales price of securities sold would be recognized.

Debt. At December 31, 2022, the Company had senior notes, subordinated debentures and other debt outstanding with a carrying value of $2,837 million and a face amount of $2,862 million. In the first quarter of 2022, the Company repaid at maturity its $77 million aggregate principal amount of 8.7% senior notes in January and its $350 million aggregate principal amount of 4.625% senior notes in March. The maturities of the outstanding debt are $5 million in 2024, $2 million in 2025, $250 million in 2037, $350 million in 2044, $470 million in 2050, $400 million in 2052, $185 million in 2058, $300 million in 2059, $250 million in 2060, and $650 million in 2061.

On April 1, 2022, the Company entered into a senior unsecured revolving credit facility that provides for revolving, unsecured borrowings up to an aggregate of $300 million with a $50 million sublimit for letters of credit. The Company may increase the amount available under the facility to a maximum of $500 million subject to obtaining lender commitments for the increase and other customary conditions. Borrowings under the facility may be used for working capital and other general corporate purposes. All borrowings under the facility must be repaid by April 1, 2027, except that letters of credit outstanding on that date may remain outstanding until April 1, 2028 (or such later date approved by all lenders). Our ability to utilize the facility is conditioned on the satisfaction of representations, warranties and covenants that are customary for facilities of this type. As of December 31, 2022, there were no borrowings outstanding under the facility.

Equity. At December 31, 2022, total common stockholders’ equity was $6.7 billion, common shares outstanding were 264,546,100 and stockholders’ equity per outstanding share was $25.51. The Company repurchased 1,370,394 and 1,752,619 shares of its common stock in 2022 and 2021, respectively. The aggregate cost of the repurchases was $94 million in 2022 and $122 million in 2021. In 2022, the Board declared regular quarterly cash dividends of $0.09 per share in the first quarter, and $0.10 per share in each of the remaining three quarters, as well as special dividends of $0.50 per share in the second quarter, for a total of $235 million in aggregate dividends in 2022.

Total Capital. Total capitalization (equity, debt and subordinated debentures) was $9.6 billion at December 31, 2022. The percentage of the Company’s capital attributable to senior notes, subordinated debentures and other debt was 30% and 33% at December 31, 2022 and 2021, respectively.

Federal and Foreign Income Taxes

The Company files a consolidated income tax return in the U.S. and foreign tax returns in each of the countries in which it has overseas operations. At December 31, 2022, the Company had a gross deferred tax asset of $801 million (which primarily relates to unrealized losses on investments, loss and loss expense reserves and unearned premium reserves). The Company also has a $47 million valuation allowance against the gross deferred tax asset and a gross deferred tax liability of $425 million (which primarily relates to deferred policy acquisition costs, and various investment funds) resulting in a net deferred tax asset of $329 million. The realization of this asset is dependent upon the Company's ability to generate sufficient taxable income in future periods. Based on historical results and the prospects for future operations, management anticipates that it is more likely than not that future taxable income will be sufficient for the realization of this asset.

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Reinsurance

The Company follows customary industry practice of reinsuring a portion of its exposures in exchange for paying reinsurers a part of the premiums received on the policies it writes. Reinsurance is purchased by the Company principally to reduce its net liability on individual risks and to protect against catastrophic losses. Although reinsurance does not legally discharge an insurer from its primary liability for the full amount of the policies, it does make the assuming reinsurer liable to the insurer to the extent of the reinsurance coverage. The Company monitors the financial condition of its reinsurers and attempts to place its coverages only with financially sound carriers. Reinsurance coverage and retentions vary depending on the line of business, location of the risk and nature of loss. The Company’s reinsurance purchases include the following:

•Property reinsurance treaties - The Company purchases property reinsurance to reduce its exposure to large individual property losses and catastrophe events. Following is a summary of significant property reinsurance treaties in effect as of January 1, 2023: The Company’s property per risk reinsurance generally covers losses between $2.5 million and $80 million. The Company’s catastrophe excess of loss reinsurance program provides protection for net losses in excess of between $65 million and $80 million up to $500 million for the majority of U.S. business written by its Insurance segment businesses and U.S. and non-U.S. business written by Lloyd's Syndicate, excluding offshore energy; this includes some co-participation in lower layers. For terrorism, we currently retain the first $95 million and then fully insure above this to our desired limit of $400 million. For 2023, some of our property cat reinsurance is placed via an industry loss warranty (ILW) cover and the equivalent W. R. Berkley limit and retention (and resulting net position) are estimated based on our market share and modeled outcome when applying the ILW layering. The Company’s catastrophe reinsurance agreements are subject to certain limits, exclusions and reinstatement premiums.

•Casualty reinsurance treaties - The Company purchases casualty reinsurance to reduce its exposure to large individual casualty losses, workers’ compensation catastrophe losses and casualty losses involving multiple claimants or insureds for the majority of business written by its U.S. companies. A significant casualty treaty (casualty catastrophe) in effect as of January 1, 2023 provides significant protection for losses between $10 million and $60 million from single events with claims involving two or more insurable interests or for systemic events involving multiple insureds and/or policy years. The treaty also covers casualty contingency losses in excess of $5 million and up to $100 million. For losses involving two or more claimants for primary workers’ compensation business, coverage is generally in place for losses between $10 million and $500 million. For excess workers’ compensation business, such coverage is generally in place for losses between $25 million and $500 million. Our workers’ compensation catastrophe reinsurance program is a shared cover for both excess and primary workers’ compensation business.

•Facultative reinsurance - The Company also purchases facultative reinsurance on certain individual policies or risks that are in excess of treaty reinsurance capacity.

•Other reinsurance - Depending on the business, the Company purchases specific additional reinsurance to supplement the above programs.

•Effective January 1, 2023, Lifson Re will continue to be a participant on the majority of the Company’s reinsurance placements for a 30.0% share of the placed amounts. This pertains to all traditional treaty reinsurance/retrocessional placements for both property and casualty business where there is more than one open market reinsurer participating. Lifson Re has been capitalized with $380 million of equity from a small group of sophisticated global investors with long-term investment horizons, including a minority participation by the Company. Lifson Re will participate on a fully collateralized basis.

The Company places a number of its casualty treaties on a “risk attaching” basis. Under risk attaching treaties, all claims from policies incepting during the period of the reinsurance contract are covered even if they occur after the expiration date of the reinsurance contract. If the Company is unable to renew or replace its existing reinsurance coverage, protection for unexpired policies would remain in place until their expiration. In such case, the Company could revise its underwriting strategy for new business to reflect the absence of reinsurance protection. The casualty catastrophe treaty highlighted above was purchased on a losses discovered basis. Property catastrophe and workers’ compensation catastrophe reinsurance is generally placed on a “losses occurring basis,” whereby only claims occurring during the period are covered. If the Company is unable to renew or replace these reinsurance coverages, unexpired policies would not be protected, though we frequently have the option to purchase run-off coverage in our treaties.

Following is a summary of earned premiums and loss and loss expenses ceded to reinsurers for each of the three years ended December 31, 2022:

	Year Ended December 31,
(In thousands)	2022		2021		2020
Earned premiums	$	1,883,263	$	1,805,341	$	1,499,948
Losses and loss expenses	1,269,338		1,236,960		955,630

Ceded earned premiums increased 4.3% in 2022 to $1,883 million. The ceded losses and loss expenses ratio decreased 2 points to 67% in 2022 from 69% in 2021.

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The following table presents the credit quality of amounts due from reinsurers as of December 31, 2022.

(In thousands)
Reinsurer	Rating	(1)	Amount
Amounts due in excess of $20 million:
Lloyd’s of London	A+		$	347,927
Berkshire Hathaway	AA+		332,034
Munich Re	AA-		306,530
Partner Re	A+		275,410
Hannover Re Group	AA-		191,264
Swiss Re	AA-		189,591
Renaissance Re	A+		163,973
Everest Re	A+		155,847
Liberty Mutual	A		96,402
Axis Capital	A+		81,538
Korean Re	A		59,884
Fairfax Financial	A-		55,228
Axa Insurance	AA-		46,058
Arch Capital Group	A+		45,663
Sompo Holdings Group	A+		36,157
Helvetia Holdings Group	A+		30,823
Markel Corp Group	A		30,216
Validus Holdings Group	A		24,548
TOA Re	A+		22,945
Other reinsurers:
Rated A- or better			163,198
Secured (2)			332,502
All Others			27,299
Subtotal			$	3,015,037
Residual market pools (3)			180,757
Allowance for expected credit losses			(8,064)
Total			$	3,187,730

_________________

(1)S&P rating, or if not rated by S&P, A.M. Best rating.

(2)Secured by letters of credit or other forms of collateral.

(3)Many states require licensed insurers that provide workers' compensation insurance to participate in programs that provide workers' compensation to employers that cannot procure coverage from an insurer on a voluntary basis. Insurers can fulfill this residual market obligation by participating in pools where results are shared by the participating companies. The Company acts as a servicing carrier for workers' compensation pools in certain states. As a servicing carrier, the Company writes residual market business directly and then cedes 100% of this business to the respective pool. As a servicing carrier, the Company receives fee income for its services. The Company does not retain underwriting risk, and credit risk is limited as ceded balances are jointly shared by all the pool members.

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Contractual Obligations

Following is a summary of the Company's contractual obligations as of December 31, 2022:

(In thousands)
Estimated Payments By Periods	2023		2024		2025		2026		2027		Thereafter
Gross reserves for losses	$	4,586,303	$	3,268,257	$	2,461,737	$	1,788,739	$	1,439,989	$	3,895,626
Operating lease obligations	47,024		41,788		32,928		25,973		16,472		68,912
Purchase obligations	148,593		51,602		51,456		53,819		52,821		55,395
Subordinated debentures	—		—		—		—		—		1,035,000
Senior notes and other debt	—		5,300		1,954		—		—		1,820,000
Interest payments	125,580		125,580		125,580		125,580		125,580		3,154,164
Other long-term liabilities	2,489		2,228		2,035		1,859		1,698		20,232
Total	$	4,909,989	$	3,494,755	$	2,675,690	$	1,995,970	$	1,636,560	$	10,049,329

The estimated payments for reserves for losses and loss expenses in the above table represent the projected (undiscounted) payments for gross loss and loss expense reserves related to losses incurred as of December 31, 2022. The estimated payments in the above table do not consider payments for losses to be incurred in future periods. These amounts include reserves for reported losses and reserves for incurred but not reported losses. Estimated amounts recoverable from reinsurers are not reflected. The estimated payments by year are based on historical loss payment patterns.The actual payments may differ from the estimated amounts due to changes in ultimate loss reserves and in the timing of the settlement of those reserves. In addition, at December 31, 2022, the Company had commitments to invest up to $402 million and $146 million in certain investment funds and real estate construction projects, respectively. These amounts are not included in the above table.

The Company utilizes letters of credit to back certain reinsurance payments and obligations. Outstanding letters of credit were $5 million as of December 31, 2022. The Company has made certain guarantees to state regulators that the statutory capital of certain subsidiaries will be maintained above certain minimum levels.

Off-Balance Sheet Arrangements

An off-balance sheet arrangement is any transaction, agreement or other contractual arrangement involving an unconsolidated entity under which a company has (1) made guarantees, (2) a retained or contingent interest in transferred assets, (3) an obligation under derivative instruments classified as equity or (4) any obligation arising out of a material variable interest in an unconsolidated entity that provides financing, liquidity, market risk or credit risk support to the Company, or that engages in leasing, hedging or research and development arrangements with the Company. The Company has no arrangements of these types that management believes may have a material current or future effect on our financial condition, liquidity or results of operations.

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ITEM 7A. QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK

Market Risk. The fair value of the Company’s investments is subject to risks of fluctuations in credit quality and interest rates. The Company uses various models and stress test scenarios to monitor and manage interest rate risk. The Company attempts to manage its interest rate risk by maintaining an appropriate relationship between the effective duration of the investment portfolio and the approximate duration of its liabilities (i.e., policy claims and debt obligations). The effective duration for the fixed maturity portfolio (including cash and cash equivalents) was 2.4 years at both December 31, 2022 and 2021.

In addition, the fair value of the Company’s international investments is subject to currency risk. The Company attempts to manage its currency risk by matching its foreign currency assets and liabilities where considered appropriate.

The following table outlines the groups of fixed maturity securities and their effective duration at December 31, 2022:

	Effective
	Duration
($ in thousands)	(Years)	Fair Value
Mortgage-backed securities	4.5	$	1,669,056
State and municipal	3.3	2,942,025
U.S. government and government agencies	3.1	892,258
Corporate	2.7	6,703,992
Foreign government	2.2	1,401,522
Loans receivable	1.3	187,981
Asset-backed securities	0.9	3,982,773
Cash and cash equivalents	0.0	1,449,346
Total	2.4	$	19,228,953

Duration is a common measure of the price sensitivity of fixed maturity securities to changes in interest rates. The Company determines the estimated change in fair value of the fixed maturity securities, assuming parallel shifts in the yield curve for treasury securities while keeping spreads between individual securities and treasury securities static. The estimated fair value at specified levels at December 31, 2022 would be as follows:

(In thousands)	Estimated Fair Value		Change in Fair Value
Change in interest rates:
300 basis point rise	$	17,931,180	$	(1,297,772)
200 basis point rise	18,344,941		(884,011)
100 basis point rise	18,778,053		(450,899)
Base scenario	19,228,952		—
100 basis point decline	19,692,291		463,339
200 basis point decline	20,161,330		932,378
300 basis point decline	20,632,243		1,403,291

Arbitrage investing differs from other types of investments in that its focus is on transactions and events believed likely to bring about a change in value over a relatively short time period (usually four months or less). The Company believes that this makes arbitrage investments less vulnerable to changes in general stock market conditions. Potential changes in market conditions are also mitigated by the implementation of hedging strategies, including short sales.

Additionally, the arbitrage positions are generally hedged against market declines by purchasing put options, selling call options or entering into swap contracts. The Company's merger arbitrage securities are primarily exposed to the risk of completion of announced deals, which are subject to regulatory as well as transactional and other risks.

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ITEM 8. FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA

Report of Independent Registered Public Accounting Firm

To the Stockholders and the Board of Directors

W. R. Berkley Corporation:

Opinion on the Consolidated Financial Statements

We have audited the accompanying consolidated balance sheets of W. R. Berkley Corporation and subsidiaries (the Company) as of December 31, 2022 and 2021, the related consolidated statements of income, comprehensive income, stockholders’ equity, and cash flows for each of the years in the three‑year period ended December 31, 2022, and the related notes and financial statement schedules II to VI (collectively, the consolidated financial statements). In our opinion, the consolidated financial statements present fairly, in all material respects, the financial position of the Company as of December 31, 2022 and 2021, and the results of its operations and its cash flows for each of the years in the three-year period ended December 31, 2022, in conformity with U.S. generally accepted accounting principles.

We also have audited, in accordance with the standards of the Public Company Accounting Oversight Board (United States) (PCAOB), the Company’s internal control over financial reporting as of December 31, 2022, based on criteria established in Internal Control - Integrated Framework (2013) issued by the Committee of Sponsoring Organizations of the Treadway Commission, and our report dated February 24, 2023 expressed an unqualified opinion on the effectiveness of the Company’s internal control over financial reporting.

Basis for Opinion

These consolidated financial statements are the responsibility of the Company’s management. Our responsibility is to express an opinion on these consolidated financial statements based on our audits. 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 audits in accordance with the standards of the PCAOB. Those standards require that we plan and perform the audit to obtain reasonable assurance about whether the consolidated financial statements are free of material misstatement, whether due to error or fraud. Our audits 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. We believe that our audits provide a reasonable basis for our opinion.

Critical Audit Matter

The critical audit matter communicated below is a matter arising from the current period audit of the consolidated financial statements that was communicated or required to be communicated to the audit committee and that: (1) relates to accounts or disclosures that are material to the consolidated financial statements and (2) involved our especially challenging, subjective, or complex judgments. The communication of a critical audit matter 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 matter below, providing a separate opinion on the critical audit matter or on the accounts or disclosures to which it relates.

Reserves for losses and loss expenses

As discussed in Notes 1 and 14 to the consolidated financial statements, the Company estimates the reserves for losses and loss expenses (reserves) using a variety of actuarial techniques and methods. The key assumptions used to arrive at the best estimate of recorded reserves are expected loss ratios, rate of loss cost inflation, reported and paid loss emergence patterns, loss frequency and severity, and the loss reporting lag. Such amounts are adjusted for certain qualitative factors. The reserves as of December 31, 2022 were $17.0 billion.

We identified the assessment of the estimate of reserves as a critical audit matter because it involved significant measurement uncertainty, which required complex auditor judgement. Specialized actuarial skills and knowledge were required to evaluate the actuarial method or methods and assumptions used. Assumptions included loss development

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factors; the weighting of actuarial methods when more than one was used; the impact of qualitative factors; and whether payments are fixed and reliably determinable for certain reserves subject to discounting.

The following are the primary procedures we performed to address the critical audit matter. We evaluated the design and tested the operating effectiveness of certain internal controls over the Company’s reserving process. This included controls over the Company’s process to develop the Company’s best estimate of reserves based on actuarial methodologies and assumptions employed by the Company’s actuaries. We involved actuarial professionals with specialized skills and knowledge, who assisted in:

•examining the Company’s actuarial methodologies for compliance with Actuarial Standards of Practice;

•evaluating the Company’s ability to discount certain reserves by comparing the expected payout pattern of claims paid to actual claims paid;

•evaluating the Company’s actuarial point estimate by performing independent actuarial analyses for certain of the larger, more complex businesses;

•evaluating the Company’s actuarial point estimate by examining the Company actuaries’ process, and key assumptions for certain of the remaining businesses;

•developing an independent range of reserves based on actuarial methodologies and assumptions and comparing to the Company’s recorded reserves;

•evaluating the Company’s recorded reserves and year-over-year movements of the Company’s reserves relative to, and within, the independently developed range of reserves.

/S/ KPMG LLP

We have served as the Company’s auditor since 1972.

New York, New York

February 24, 2023

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W. R. BERKLEY CORPORATION AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF INCOME

	Year Ended December 31,
(In thousands, except per share data)	2022		2021		2020
REVENUES:
Net premiums written	$	10,004,070	$	8,862,867	$	7,262,437
Change in net unearned premiums	(442,641)		(756,836)		(331,594)
Net premiums earned	9,561,429		8,106,031		6,930,843
Net investment income	779,185		671,618		583,821
Net investment gains:
Net realized and unrealized gains on investments	217,311		106,958		73,514
Change in allowance for expected credit losses on investments	(14,914)		(16,326)		29,486
Net investment gains	202,397		90,632		103,000
Revenues from non-insurance businesses	509,548		489,151		389,888
Insurance service fees	110,544		93,857		88,777
Other income	3,396		4,177		2,596
Total revenues	11,166,499		9,455,466		8,098,925
OPERATING COSTS AND EXPENSES:
Losses and loss expenses	5,861,750		4,953,960		4,468,706
Other operating costs and expenses	2,961,505		2,599,270		2,390,392
Expenses from non-insurance businesses	493,189		472,151		384,488
Interest expense	130,374		147,180		150,537
Total operating costs and expenses	9,446,818		8,172,561		7,394,123
Income before income taxes	1,719,681		1,282,905		704,802
Income tax expense	(334,727)		(251,890)		(171,817)
Net income before noncontrolling interests	1,384,954		1,031,015		532,985
Noncontrolling interests	(3,892)		(8,525)		(2,315)
Net income to common stockholders	$	1,381,062	$	1,022,490	$	530,670
NET INCOME PER SHARE:
Basic	$	4.99	$	3.69	$	1.89
Diluted	$	4.94	$	3.66	$	1.87

See accompanying notes to consolidated financial statements.

63

W. R. BERKLEY CORPORATION AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME

	Year Ended December 31,
(In thousands)	2022		2021		2020
Net income before noncontrolling interests	$	1,384,954	$	1,031,015	$	532,985
Other comprehensive (loss) gain.:
Change in unrealized translation adjustments	1,179		(20,969)		29,927
Change in unrealized investment (losses) gains, net of taxes	(983,803)		(198,812)		140,250
Other comprehensive (loss) gain	(982,624)		(219,781)		170,177
Comprehensive income	402,330		811,234		703,162
Noncontrolling interests	(3,890)		(8,523)		(2,313)
Comprehensive income to common stockholders	$	398,440	$	802,711	$	700,849

See accompanying notes to consolidated financial statements.

64

W. R. BERKLEY CORPORATION AND SUBSIDIARIES

CONSOLIDATED BALANCE SHEETS

	December 31,
(In thousands, except share data)	2022		2021
Assets
Investments:
Fixed maturity securities (amortized cost of $18,715,483 and $16,471,304; allowance for expected credit losses of $37,466 and $22,625 at December 31, 2022 and 2021)	$	17,587,349	$	16,602,673
Investment funds	1,608,548		1,480,612
Real estate	1,340,622		1,852,508
Arbitrage trading account	944,230		1,179,606
Equity securities	1,185,894		941,243
Loans receivable (net of allowance for expected credit losses of $1,791 and $1,718 at December 31, 2022 and 2021)	193,002		115,172
Total investments	22,859,645		22,171,814
Cash and cash equivalents	1,449,346		1,568,843
Premiums and fees receivable (net of allowance for expected credit losses of $30,660 and $25,218 at December 31, 2022 and 2021)	2,779,244		2,522,972
Due from reinsurers (net of allowance for expected credit losses of $8,064 and $7,713 at December 31, 2022 and 2021)	3,187,730		2,923,026
Deferred policy acquisition costs	763,486		676,145
Prepaid reinsurance premiums	696,468		676,915
Trading account receivable from brokers and clearing organizations	233,863		—
Property, furniture and equipment	423,232		419,883
Goodwill	185,509		169,652
Accrued investment income	166,784		122,938
Current federal and foreign income taxes	39,123		23,570
Deferred federal and foreign income taxes	340,647		57,425
Other assets	736,022		753,231
Total assets	$	33,861,099	$	32,086,414
Liabilities and Equity
Liabilities:
Reserves for losses and loss expenses	$	17,011,223	$	15,390,888
Unearned premiums	5,297,654		4,847,160
Due to reinsurers	523,131		514,980
Trading account securities sold but not yet purchased	—		1,169
Trading account payable to brokers and clearing organizations	—		53,636
Current federal and foreign income taxes	34,350		21,068
Deferred federal and foreign income taxes	11,646		17,470
Senior notes and other debt	1,828,823		2,259,416
Subordinated debentures	1,008,371		1,007,652
Other liabilities	1,377,740		1,305,245
Total liabilities	27,092,938		25,418,684
Equity:
Preferred stock, par value $.10 per share:
Authorized 5,000,000 shares; issued and outstanding — none	—		—
Common stock, par value $.20 per share:
Authorized 1,250,000,000 shares and 750,000,000 shares, respectively, issued and outstanding, net of treasury shares, 264,546,100 and 265,170,882 shares, respectively	105,803		105,803
Additional paid-in capital	997,534		981,104
Retained earnings	10,161,005		9,015,135
Accumulated other comprehensive loss	(1,264,581)		(281,955)
Treasury stock, at cost, 264,468,528 and 263,843,868 shares, respectively	(3,251,429)		(3,167,076)
Total common stockholders’ equity	6,748,332		6,653,011
Noncontrolling interests	19,829		14,719
Total equity	6,768,161		6,667,730
Total liabilities and equity	$	33,861,099	$	32,086,414
See accompanying notes to consolidated financial statements.

65

W. R. BERKLEY CORPORATION AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF STOCKHOLDERS’ EQUITY

	Year Ended December 31,
(In thousands, except per share data)	2022		2021		2020
COMMON STOCK:
Beginning and end of period	$	105,803	$	105,803	$	105,803
ADDITIONAL PAID IN CAPITAL:
Beginning of period	$	981,104	$	977,215	$	1,020,774
Restricted stock units issued	(32,622)		(44,041)		(38,491)
Restricted stock units expensed	49,052		47,930		48,567
Change in controlling financial interest of a subsidiary	—		—		(53,635)
End of period	$	997,534	$	981,104	$	977,215
RETAINED EARNINGS:
Beginning of period	$	9,015,135	$	8,348,381	$	7,932,372
Cumulative effect adjustment resulting from changes in accounting principles	—		—		(30,514)
Net income to common stockholders	1,381,062		1,022,490		530,670
Dividends ($0.89, $1.34, and $0.31 per share, respectively)	(235,192)		(355,736)		(84,147)
End of period	$	10,161,005	$	9,015,135	$	8,348,381
ACCUMULATED OTHER COMPREHENSIVE LOSS:
Unrealized investment (losses) gains:
Beginning of period	$	90,900	$	289,714	$	124,514
Cumulative effect adjustment resulting from changes in accounting principles	—		—		24,952
Change in unrealized (losses) gains on securities without an allowance for expected credit losses	(955,435)		(208,938)		108,244
Change in unrealized (losses) gains on securities with an allowance for expected credit losses	(28,370)		10,124		32,004
End of period	(892,905)		90,900		289,714
Currency translation adjustments:
Beginning of period	(372,855)		(351,886)		(381,813)
Net change in period	1,179		(20,969)		29,927
End of period	(371,676)		(372,855)		(351,886)
Total accumulated other comprehensive loss	$	(1,264,581)	$	(281,955)	$	(62,172)
TREASURY STOCK:
Beginning of period	$	(3,167,076)	$	(3,058,425)	$	(2,726,711)
Stock exercised/vested	9,428		13,264		13,917
Stock issued	359		511		726
Stock repurchased	(94,140)		(122,426)		(346,357)
End of period	$	(3,251,429)	$	(3,167,076)	$	(3,058,425)
NONCONTROLLING INTERESTS:
Beginning of period	$	14,719	$	14,995	$	43,403
Contributions (distributions)	1,220		(8,799)		(30,721)
Net income	3,892		8,525		2,315
Other comprehensive loss, net of tax	(2)		(2)		(2)
End of period	$	19,829	$	14,719	$	14,995

See accompanying notes to consolidated financial statements.

66

W. R. BERKLEY CORPORATION AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF CASH FLOWS

	Year Ended December 31,
(In thousands)	2022		2021		2020
CASH FROM OPERATING ACTIVITIES:
Net income to common stockholders	$	1,381,062	$	1,022,490	$	530,670
Adjustments to reconcile net income to net cash from operating activities:
Net investment gains	(202,397)		(90,632)		(103,000)
Depreciation and amortization	55,872		129,682		135,065
Noncontrolling interests	3,892		8,525		2,315
Investment funds	(145,099)		(220,015)		(54,253)
Stock incentive plans	49,411		46,680		49,658
Change in:
Arbitrage trading account	(53,291)		(268,649)		(67,943)
Premiums and fees receivable	(268,171)		(364,395)		(173,618)
Reinsurance accounts	(266,307)		(433,644)		(313,525)
Deferred policy acquisition costs	(88,844)		(121,663)		(38,691)
Current income taxes	(3,534)		(43,890)		49,021
Deferred income taxes	(64,712)		7,630		(34,057)
Reserves for losses and loss expenses	1,684,254		1,635,774		1,176,049
Unearned premiums	466,590		786,627		415,956
Other	19,878		89,467		43,039
Net cash from operating activities	2,568,604		2,183,987		1,616,686
CASH FLOWS (USED IN) FROM INVESTING ACTIVITIES:
Proceeds from sale of fixed maturity securities	797,948		1,842,139		3,832,555
Proceeds from sale of equity securities	82,319		126,980		114,763
Distributions from (contributions to) investment funds	24,623		101,050		(3,042)
Proceeds from maturities and prepayments of fixed maturity securities	4,891,179		6,067,230		3,864,327
Purchase of fixed maturity securities	(8,036,680)		(10,716,748)		(7,551,591)
Purchase of equity securities	(340,482)		(464,645)		(253,031)
Real estate (purchased) sold	(45,920)		166,886		178,934
Change in loans receivable	(83,212)		(27,421)		1,467
Net additions to property, furniture and equipment	(52,684)		(66,634)		(38,171)
Change in balances due from security brokers	14,337		(17,983)		(26,515)
Cash received in connection with business disposition	906,789		—		—
Payment for business purchased, net of cash acquired	(49,572)		—		—
Net cash (used in) from investing activities	(1,891,355)		(2,989,146)		119,696
CASH FLOWS (USED IN) FROM FINANCING ACTIVITIES:
Net (payments) proceeds from issuance of debt	(3,309)		1,034,107		741,637
Repayment of senior notes and other debt	(426,503)		(504,952)		(652,751)
Cash dividends to common stockholders	(235,192)		(355,736)		(84,147)
Purchase of common treasury shares	(94,140)		(122,426)		(346,357)
Other, net	(12,848)		(45,162)		(56,225)
Net cash (used in) from financing activities	(771,992)		5,831		(397,843)
Net impact on cash due to change in foreign exchange rates	(24,754)		(4,195)		10,117
Net (decrease) increase in cash and cash equivalents	(119,497)		(803,523)		1,348,656
Cash and cash equivalents at beginning of year	1,568,843		2,372,366		1,023,710
Cash and cash equivalents at end of year	$	1,449,346	$	1,568,843	$	2,372,366

See accompanying notes to consolidated financial statements.

67

W. R. BERKLEY CORPORATION AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

For the years ended December 31, 2022, 2021 and 2020

(1) Summary of Significant Accounting Policies

(A) Principles of consolidation and basis of presentation

The consolidated financial statements, which include the accounts of W. R. Berkley Corporation and its subsidiaries (the "Company"), have been prepared on the basis of U.S. generally accepted accounting principles ("GAAP"). All significant intercompany transactions and balances have been eliminated. Reclassifications have been made in the 2021 and 2020 financial statements as originally reported to conform to the presentation of the 2022 financial statements. Shares outstanding and per share amounts have been adjusted to reflect the 3-for-2 common stock split effected on March 23, 2022. In the fourth quarter of 2022, the Company adjusted the proceeds from sale of fixed maturity securities and purchase of fixed maturity securities lines within the consolidated statements of cash flows for an incremental inter-company elimination which resulted in no impact on the total amount of investing activities. For the years ended December 31, 2021 and 2020, the Company did not correct these line items as the effects were not material and had no impact on the total amount of investing activities.

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 disclosures of contingent assets and liabilities at the date of the financial statements and the revenues and expenses reflected during the reporting period. The most significant items on our balance sheet that involve a greater degree of accounting estimates that are subject to change in the future are the valuation of investments, allowance for expected credit losses on investments, reserves for losses and loss expenses and premium estimates. Actual results could differ from those estimates.

(B) Revenue recognition

Insurance premiums are recognized as written at the inception of the policy. Reinsurance premiums are estimated based upon information received from ceding companies, and subsequent differences from such estimates are recorded in the period they are determined. Insurance and reinsurance premiums are primarily earned on a pro rata basis over the policy term. Fees for services are earned over the period that the services are provided. Premiums and fees receivable are reported net of an allowance for expected credit losses, with the allowance being estimated based on current and future expected conditions, historical loss data and specific identification of collectability concerns where applicable. Changes in the allowance are reported within other operating costs and expenses.

Audit premiums are recognized when they are reliably determinable. The change in accruals for earned but unbilled audit premiums increased (decreased) net premiums written and premiums earned by $25 million, $10 million and $(27) million in 2022, 2021 and 2020, respectively.

Revenues from non-insurance businesses are derived from businesses engaged in the distribution of promotional merchandise, world-wide textile solutions, and aircraft services provided to the general, commercial and military aviation markets. These aircraft services include (i) the distribution, manufacturing, repair and overhaul of aircraft parts and components, (ii) the sale of new and used aircraft, and (iii) avionics, fuel, maintenance, storage and charter services. Revenue is recognized upon the shipment of products and parts, the delivery of aircraft, the delivery of fuel, and over the completion period of services.

Insurance service fee revenue represents servicing fees for program administration and claims management services provided by the Company, including workers' compensation assigned risk plans, as well as insurance brokerage and risk management services. Fees for program administration, claims management and risk management services are primarily recognized ratably over the related contract period for which the underlying services are rendered. Commissions for insurance brokerage are generally recognized when the underlying insurance policy is effective.

(C) Cash and cash equivalents

Cash equivalents consist of funds invested in money market accounts and investments with an effective maturity of three months or less when purchased.

(D) Investments

Fixed maturity securities classified as available for sale are carried at estimated fair value, with unrealized gains and losses, net of applicable income taxes, excluded from earnings and reported as a component of comprehensive income and a separate component of stockholders' equity. Fixed maturity securities that the Company has the positive intent and ability to

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hold to maturity are classified as held to maturity and reported at amortized cost. Investment income from fixed maturity securities is recognized based on the constant effective yield method. Premiums and discounts on mortgage-backed securities are adjusted for the effects of actual and anticipated prepayments on a retrospective basis.

Equity securities with readily determinable fair values are measured at fair value, with changes in the fair value recognized in net income within net realized and unrealized gains on investments.

Fixed maturity securities that the Company purchased with the intent to sell in the near-term are classified as trading account securities and are reported at estimated fair value. Realized and unrealized gains and losses from trading activity are reported as net investment income and are recorded at the trade date. Short sales and short call options are presented as trading securities sold but not yet purchased. Unsettled trades and the net margin balances held by the clearing broker are presented as a trading account receivable from brokers and clearing organizations.

Investment funds are carried under the equity method of accounting. The Company's share of the earnings or losses of investment funds is primarily reported on a one-quarter lag in order to facilitate the timely completion of the Company's consolidated financial statements.

Loans receivable primarily represent commercial real estate mortgage loans and bank loans and are carried at amortized cost. The accrual of interest on loans receivable is discontinued if the loan is 90 days past due based on the contractual terms of the loan unless the loan is adequately secured and in process of collection. In general, loans are placed on non-accrual status or charged off at an earlier date if collection of principal or interest is considered doubtful. Interest on these loans is accounted for on a cash basis until qualifying for return to accrual status. Loans are returned to accrual status when all principal and interest amounts contractually due are brought current and future payments are reasonably assured.

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.” Fair value of investments is determined based on a fair value hierarchy that prioritizes the use of observable inputs over the use of unobservable inputs and requires the use of observable inputs when available. (See Note 13 of the Notes to Consolidated Financial Statements.)

Realized gains or losses represent the difference between the cost of securities sold and the proceeds realized upon sale and are recorded at the trade date. The Company uses primarily the first-in, first-out method to determine the cost of securities sold.

For available for sale securities in an unrealized loss position where the Company intends to sell, or it is more likely than not that it will be required to sell the security before recovery in value, the amortized cost basis is written down to fair value through net investment gains. For available for sale securities in an unrealized loss position where the Company does not intend to sell, or it is more likely than not that it will not be required to sell the security before recovery in value, the Company evaluates whether the decline in fair value has resulted from credit losses or all other factors (non-credit factors). In making this assessment, the Company considers the extent to which fair value is less than amortized cost, changes to the rating of the security by a rating agency, and adverse conditions specifically related to the security, among other factors. If this assessment indicates that a credit loss exists, the present value of cash flows expected to be collected from the security are compared to the amortized cost basis of the security. If the present value of cash flows expected to be collected is less than the amortized cost basis, an allowance for expected credit losses is recorded for the credit loss through net investment gains, limited by the amount that the fair value is less than the amortized cost basis. The allowance is adjusted for any change in expected credit losses and subsequent recoveries through net investment gains. The impairment related to non-credit factors is recognized in comprehensive income (loss).

For financial assets carried at amortized cost, which includes held to maturity securities and loans receivable, the Company estimates an allowance for expected credit losses based on relevant information about past events, including historical loss experience, current conditions and forecasts that affect the expected collectability of the amortized cost of the financial asset. The allowance for expected credit losses is presented as a reduction to amortized cost of the financial asset in the consolidated balance sheet and changes to the estimate for expected credit losses are recognized through net investment gains.

The Company’s credit assessment of allowance for expected credit losses uses a third party model for available for sale and held to maturity securities, as well as loans receivable. The allowance for expected credit losses is generally based on the performance of the underlying collateral under various economic and default scenarios that involve subjective judgments and estimates by management. Modeling these securities involves various factors, such as projected default rates, the nature and realizable value of the collateral, if any, the ability of the issuer to make scheduled payments, historical performance and other relevant economic and performance factors. A discounted cash flow analysis is used to ascertain the amount of the allowance for expected credit losses, if any. In general, the model reverts to the rating-level long-term average marginal default rates based on 10 years of historical data, beyond the forecast period. For other inputs, the model in most cases reverts to the baseline long-

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term assumptions linearly over 5 years beyond the forecast period. The long-term assumptions are based on the historical averages.

The Company reports accrued investment income separately from fixed maturity securities, and has elected not to measure an allowance for expected credit losses for accrued investment income. Accrued investment income is written off through net investment income at the time the issuer of the bond defaults or is expected to default on payments.

Real estate held for investment purposes is initially recorded at the purchase price, which is generally fair value, and is subsequently reported at cost less accumulated depreciation. Real estate taxes, interest and other costs incurred during development and construction are capitalized. Buildings are depreciated on a straight-line basis over the estimated useful lives of the building. Minimum rental income is recognized on a straight-line basis over the lease term. Income and expenses from real estate are reported as net investment income. The carrying value of real estate is reviewed for impairment and an impairment loss is recognized if the estimated undiscounted cash flows from the use and disposition of the property are less than the carrying value of the property.

(E) Per share data

The Company presents both basic and diluted net income per share (“EPS”) amounts. Basic EPS is calculated by dividing net income by weighted average number of common shares outstanding during the year (including 11,416,856 common shares held in a grantor trust). The common shares held in the grantor trust are for delivery upon settlement of vested but mandatorily deferred restricted stock units ("RSUs"). Shares held by the grantor trust do not affect diluted shares outstanding since the shares deliverable under vested RSUs were already included in diluted shares outstanding. Diluted EPS is based upon the weighted average number of basic and common equivalent shares outstanding during the year and is calculated using the treasury stock method for stock incentive plans. Common equivalent shares are excluded from the computation in periods in which they have an anti-dilutive effect.

(F) Deferred policy acquisition costs

Acquisition costs associated with the successful acquisition of new and renewed insurance and reinsurance contracts are deferred and amortized ratably over the terms of the related contracts. Ceding commissions received on reinsurance contracts are netted against acquisition costs and are recognized ratably over the life of the contract. Deferred policy acquisition costs are presented net of unearned ceding commissions. Deferred policy acquisition costs are comprised primarily of commissions, as well as employment-related underwriting costs and premium taxes. Deferred policy acquisition costs are reviewed to determine if they are recoverable from future income and, if not, are charged to expense. The recoverability of deferred policy acquisition costs is evaluated separately by each of our operating companies. Future investment income is taken into account in measuring the recoverability of deferred policy acquisition costs.

(G) Reserves for losses and loss expenses

Reserves for losses and loss expenses are an accumulation of amounts determined on the basis of (1) evaluation of claims for business written directly by the Company; (2) estimates received from other companies for reinsurance assumed by the Company; and (3) estimates for losses incurred but not reported (based on Company and industry experience). These estimates are periodically reviewed and, as experience develops and new information becomes known, the reserves are adjusted as necessary. Such adjustments are reflected in the statements of income in the period in which they are determined. The Company discounts its reserves for excess and assumed workers' compensation claims using a risk-free or statutory rate. (See Note 14 of Notes to Consolidated Financial Statements.)

(H) Reinsurance ceded

The unearned portion of premiums ceded to reinsurers is reported as prepaid reinsurance premiums and earned ratably over the policy term. The estimated amounts of reinsurance recoverable on unpaid losses are reported as due from reinsurers. To the extent any reinsurer does not meet its obligations under reinsurance agreements, the Company must discharge its liability. Amounts due from reinsurers are reflected net of funds held where the right of offset is present. The Company has provided an allowance for expected credit losses for estimated uncollectible reinsurance. The allowance is estimated based on the composition of the recoverable balance, considering reinsurer credit ratings, collateral received from financial institutions and funds withheld arrangements, length of collection periods, probability of default methodology, and specific identification of collectability concerns. Changes in the allowance are reported within losses and loss expenses.

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(I) Deposit accounting

Contracts that do not meet the risk transfer requirements of GAAP are accounted for using the deposit accounting method. Under this method, an asset or liability is recognized at the inception of the contract based on consideration paid or received. The amount of the deposit asset or liability is adjusted at subsequent reporting dates using the interest method with a corresponding credit or charge to interest income or expense. Deposit liabilities for assumed reinsurance contracts were $33 million and $35 million at December 31, 2022 and 2021, respectively.

(J) Federal and foreign income taxes

The Company files a consolidated income tax return in the U.S. and foreign tax returns in countries where it has overseas operations. The Company's method of accounting for income taxes is the asset and liability method. Under this method, deferred tax assets and liabilities are measured using tax rates currently in effect or expected to apply in the years in which those temporary differences are expected to reverse. Interest and penalties, if any, are reported as income tax expense. The Company believes there are no tax positions that would require disclosure under GAAP. Deferred tax assets are reduced by a valuation allowance if it is more likely than not that all or a portion of the deferred tax assets will not be realized.

(K) Foreign currency

Gains and losses resulting from foreign currency transactions (transactions denominated in a currency other than the entity's functional currency) are reported on the statements of income as other operating costs and expenses. Unrealized gains or losses resulting from translating the results of non-U.S. dollar denominated operations are reported in accumulated other comprehensive income. Revenues and expenses denominated in currencies other than U.S. dollars are generally translated at the weighted average exchange rate during the year. Assets and liabilities are translated at the rate of exchange in effect at the balance sheet date.

(L) Property, furniture and equipment

Property, furniture and equipment are carried at cost less accumulated depreciation. Depreciation is calculated using the estimated useful lives of the respective assets. Depreciation expense was $52 million, $52 million and $53 million for 2022, 2021 and 2020, respectively.

(M) Comprehensive income

Comprehensive income encompasses all changes in stockholders' equity (except those arising from transactions with stockholders) and includes net income, net unrealized holding gains or losses on available for sale securities and unrealized foreign currency translation adjustments.

(N) Goodwill and other intangible assets

Goodwill and other intangible assets are tested for impairment on an annual basis and at interim periods where circumstances require. The Company's impairment test as of December 31, 2022 indicated that there were no material impairment losses related to goodwill and other intangible assets. Intangible assets of $102 million and $85 million are included in other assets as of December 31, 2022 and 2021, respectively.

(O) Restricted stock units

The costs resulting from all share-based payment transactions with employees are recognized in the consolidated financial statements using a fair-value-based measurement method. Compensation cost is recognized for financial reporting purposes over the period in which the employee is required to provide service in exchange for the award (generally the vesting period).

(P) Statements of cash flows

Interest payments were $138 million, $141 million and $155 million in 2022, 2021 and 2020, respectively. Income taxes paid were $295 million, $244 million and $103 million in 2022, 2021 and 2020, respectively. Other non-cash items include unrealized investment gains and losses. (See Note 11 of Notes to Consolidated Financial Statements.)

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(Q) Recent accounting pronouncements

Recently adopted accounting pronouncements:

All accounting and reporting standards that became effective in 2022 were either not applicable to the Company or their adoption did not have a material impact on the Company.

Accounting and reporting standards that are not yet effective:

All recently issued but not yet effective accounting and reporting standards are either not applicable to the Company or are not expected to have a material impact on the Company.

(2) Acquisitions

In March 2022, the Company acquired an 80.0% ownership interest for $51.1 million in a company engaged in residential and commercial textiles. The fair value of the assets acquired and liabilities assumed have been estimated based on a third party valuation.

    The following table summarizes the estimated fair value of net assets acquired and liabilities assumed for the business combination completed in 2022:

(In thousands)	2022
Cash and cash equivalents	$	1,564
Real estate, furniture and equipment	6,000
Intangible assets	25,600
Goodwill	15,857
Other assets	20,349
Total assets acquired	69,370
Other liabilities assumed	(12,420)
Noncontrolling interest	(5,814)
Net assets acquired	$	51,136

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(3)    Consolidated Statements of Comprehensive (Loss) Income

The following tables present the components of the changes in accumulated other comprehensive (loss) income as of and for the years ended December 31, 2022 and 2021:

(In thousands)
December 31, 2022	Unrealized Investment (Losses) Gains			Currency Translation Adjustments		Accumulated Other Comprehensive Loss
Changes in AOCI
Beginning of period	$	90,900		$	(372,855)	$	(281,955)
Other comprehensive (loss) income before reclassifications	(1,054,838)			1,179		(1,053,659)
Amounts reclassified from AOCI	71,035			—		71,035
Other comprehensive (loss) income	(983,803)			1,179		(982,624)
Unrealized investment loss related to noncontrolling interest	(2)			—		(2)
Ending balance	$	(892,905)		$	(371,676)	$	(1,264,581)
Amounts reclassified from AOCI
Pre-tax	$	89,918	(1)	$	—	$	89,918
Tax effect	(18,883)		(2)	—		(18,883)
After-tax amounts reclassified	$	71,035		$	—	$	71,035
Other comprehensive (loss) income
Pre-tax	$	(1,248,128)		$	1,179	$	(1,246,949)
Tax effect	264,325			—		264,325
Other comprehensive (loss) income	$	(983,803)		$	1,179	$	(982,624)

(In thousands)
December 31, 2021	Unrealized Investment Gains (Losses)			Currency Translation Adjustments		Accumulated Other Comprehensive Loss
Changes in AOCI
Beginning of period	$	289,714		$	(351,886)	$	(62,172)
Other comprehensive loss before reclassifications	(222,359)			(20,969)		(243,328)
Amounts reclassified from AOCI	23,547			—		23,547
Other comprehensive loss	(198,812)			(20,969)		(219,781)
Unrealized investment loss related to non-controlling interest	(2)			—		(2)
Ending balance	$	90,900		$	(372,855)	$	(281,955)
Amounts reclassified from AOCI
Pre-tax	$	29,806	(1)	$	—	$	29,806
Tax effect	(6,259)		(2)	—		(6,259)
After-tax amounts reclassified	$	23,547		$	—	$	23,547
Other comprehensive loss
Pre-tax	$	(254,939)		$	(20,969)	$	(275,908)
Tax effect	56,127			—		56,127
Other comprehensive loss	$	(198,812)		$	(20,969)	$	(219,781)

_______________

(1) Net investment gains in the consolidated statements of income.

(2) Income tax expense in the consolidated statements of income.

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(4)    Investments in Fixed Maturity Securities

At December 31, 2022 and 2021, investments in fixed maturity securities were as follows:

(In thousands)	Amortized Cost		Allowance for Expected Credit Losses (1)		Gross Unrealized				Fair Value		Carrying Value
					Gains		Losses
December 31, 2022
Held to maturity:
State and municipal	$	47,802	$	(114)	$	4,239	$	—	$	51,927	$	47,688
Residential mortgage-backed	3,608		—		38		—		3,646		3,608
Total held to maturity	51,410		(114)		4,277		—		55,573		51,296
Available for sale:
U.S. government and government agency	960,479		—		937		(69,158)		892,258		892,258
State and municipal:
Special revenue	1,837,309		—		3,662		(119,474)		1,721,497		1,721,497
State general obligation	387,709		—		2,651		(21,335)		369,025		369,025
Pre-refunded	156,106		—		2,741		(7)		158,840		158,840
Corporate backed	210,228		—		334		(10,923)		199,639		199,639
Local general obligation	454,983		—		2,967		(16,853)		441,097		441,097
Total state and municipal	3,046,335		—		12,355		(168,592)		2,890,098		2,890,098
Mortgage-backed securities:
Residential	1,308,019		(18)		395		(171,595)		1,136,801		1,136,801
Commercial	547,757		—		215		(19,363)		528,609		528,609
Total mortgage-backed securities	1,855,776		(18)		610		(190,958)		1,665,410		1,665,410
Asset-backed securities	4,132,365		—		2,730		(152,322)		3,982,773		3,982,773
Corporate:
Industrial	3,491,645		(1,704)		4,439		(241,381)		3,252,999		3,252,999
Financial	2,585,247		(2,997)		5,505		(117,383)		2,470,372		2,470,372
Utilities	586,066		—		1,307		(36,325)		551,048		551,048
Other	441,230		—		—		(11,657)		429,573		429,573
Total corporate	7,104,188		(4,701)		11,251		(406,746)		6,703,992		6,703,992
Foreign government	1,564,930		(32,633)		4,283		(135,058)		1,401,522		1,401,522
Total available for sale	18,664,073		(37,352)		32,166		(1,122,834)		17,536,053		17,536,053
Total investments in fixed maturity securities	$	18,715,483	$	(37,466)	$	36,443	$	(1,122,834)	$	17,591,626	$	17,587,349

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(In thousands)	Amortized Cost		Allowance for Expected Credit Losses (1)		Gross Unrealized				Fair Value		Carrying Value
					Gains		Losses
December 31, 2021
Held to maturity:
State and municipal	$	69,539	$	(387)	$	10,813	$	—	$	79,965	$	69,152
Residential mortgage-backed	4,829		—		632		—		5,461		4,829
Total held to maturity	74,368		(387)		11,445		—		85,426		73,981
Available for sale:
U.S. government and government agency	851,128		—		8,509		(4,294)		855,343		855,343
State and municipal:
Special revenue	2,016,382		—		62,961		(5,706)		2,073,637		2,073,637
State general obligation	388,110		—		23,152		(1,015)		410,247		410,247
Pre-refunded	202,633		—		14,891		(574)		216,950		216,950
Corporate backed	166,943		—		7,191		(1,532)		172,602		172,602
Local general obligation	401,974		—		29,455		(732)		430,697		430,697
Total state and municipal	3,176,042		—		137,650		(9,559)		3,304,133		3,304,133
Mortgage-backed securities:
Residential	940,744		—		9,896		(11,321)		939,319		939,319
Commercial	125,709		—		3,388		(341)		128,756		128,756
Total mortgage-backed securities	1,066,453		—		13,284		(11,662)		1,068,075		1,068,075
Asset-backed securities	4,504,950		—		4,409		(18,794)		4,490,565		4,490,565
Corporate:
Industrial	3,231,520		(16)		62,751		(21,092)		3,273,163		3,273,163
Financial	1,739,282		—		30,709		(6,591)		1,763,400		1,763,400
Utilities	396,242		—		13,262		(3,202)		406,302		406,302
Other	154,210		—		125		(1,525)		152,810		152,810
Total corporate	5,521,254		(16)		106,847		(32,410)		5,595,675		5,595,675
Foreign government	1,277,109		(22,222)		7,508		(47,494)		1,214,901		1,214,901
Total available for sale	16,396,936		(22,238)		278,207		(124,213)		16,528,692		16,528,692
Total investments in fixed maturity securities	$	16,471,304	$	(22,625)	$	289,652	$	(124,213)	$	16,614,118	$	16,602,673

——————————

(1) Represents the amount of impairment that has resulted from credit-related factors. The change in the allowance for expected credit losses is recognized in the consolidated statements of income. Amount excludes unrealized losses relating to non-credit factors.

The following table presents the rollforward of the allowance for expected credit losses for held to maturity securities for the years ended December 31, 2022 and 2021:

	State and Municipal
(In thousands)	2022		2021
Allowance for expected credit losses, beginning of period	$	387	$	798
Change in allowance for expected credit losses	(273)		(411)
Allowance for expected credit losses, end of period	$	114	$	387

The following table presents the rollforward of the allowance for expected credit losses for available for sale securities for the years ended December 31, 2022 and 2021:

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	2022								2021
(In thousands)	Foreign Government		Corporate		Mortgage- Backed		Total		Foreign Government		Corporate		Total
Allowance for expected credit losses, beginning of period	$	22,222	$	16	$	—	$	22,238	$	1,264	$	518	$	1,782
Expected credit losses on securities for which credit losses were not previously recorded	1,910		2,648		21		4,579		19,072		16		19,088
Expected credit losses (gains) on securities for which credit losses were previously recorded	8,534		2,042		(3)		10,573		2,438		(513)		1,925
Reduction due to disposals	(33)		(5)		—		(38)		(552)		(5)		(557)
Allowance for expected credit losses, end of period	$	32,633	$	4,701	$	18	$	37,352	$	22,222	$	16	$	22,238

During the year ended December 31, 2022, the Company increased the allowance for expected credit losses for available for sale securities utilizing its credit loss assessment process and inputs used in its credit loss model due to an increase in unrealized losses primarily associated with foreign government securities. During the year ended December 31, 2021, the Company increased the allowance for expected credit losses primarily due to foreign government securities that had no reserve in prior periods.

The amortized cost and fair value of fixed maturity securities at December 31, 2022, by contractual maturity, are shown below. Actual maturities may differ from contractual maturities because certain issuers may have the right to call or prepay obligations.

(In thousands)	Amortized Cost (1)		Fair Value
Due in one year or less	$	1,570,480	$	1,527,090
Due after one year through five years	8,746,271		8,299,945
Due after five years through ten years	4,395,236		4,119,772
Due after ten years	2,143,998		1,975,763
Mortgage-backed securities	1,859,384		1,669,056
Total	$	18,715,369	$	17,591,626

________________

(1) Amortized cost is reduced by the allowance for expected credit losses of $114 thousand related to held to maturity securities.    

At December 31, 2022 and 2021, there were no investments, other than investments in United States government and government agency securities, which exceeded 10% of common stockholders’ equity. At December 31, 2022, investments with a carrying value of $1,910 million were on deposit in custodial or trust accounts, of which $1,218 million was on deposit with insurance regulators, $656 million was on deposit in support of the Company’s underwriting activities at Lloyd’s, $31 million was on deposit as security for reinsurance clients and $5 million was on deposit as security for letters of credit issued in support of the Company’s reinsurance operations.

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(5)    Investments in Equity Securities

At December 31, 2022 and 2021, investments in equity securities were as follows:

(In thousands)	Cost		Gross Unrealized				Fair Value		Carrying Value
			Gains		Losses
December 31, 2022
Common stocks	$	855,987	$	192,165	$	(65,401)	$	982,751	$	982,751
Preferred stocks	259,341		1,053		(57,251)		203,143		203,143
Total	$	1,115,328	$	193,218	$	(122,652)	$	1,185,894	$	1,185,894
December 31, 2021
Common stocks	$	619,896	$	92,401	$	(16,894)	$	695,403	$	695,403
Preferred stocks	250,149		7,874		(12,183)		245,840		245,840
Total	$	870,045	$	100,275	$	(29,077)	$	941,243	$	941,243

(6)    Arbitrage Trading Account

At December 31, 2022 and 2021, the fair value and carrying value of the arbitrage trading account were $944 million and $1,180 million, respectively. The primary focus of the trading account is merger arbitrage. Merger arbitrage is the business of investing in the securities of publicly held companies which are the targets in announced tender offers and mergers. Arbitrage investing differs from other types of investing in its focus on transactions and events believed likely to bring about a change in value over a relatively short time period (usually four months or less).

The Company uses put options and call options in order to mitigate the impact of potential changes in market conditions on the merger arbitrage trading account. These options are reported at fair value. As of December 31, 2022, the fair value of short option contracts outstanding was $0.1 thousand (notional amount of $10 thousand). Other than with respect to the use of these trading account securities, the Company does not make use of derivatives.

(7)    Net Investment Income

Net investment income consists of the following:

(In thousands)	2022		2021		2020
Investment income (loss) earned on:
Fixed maturity securities, including cash and cash equivalents and loans receivable	$	549,281	$	382,001	$	426,563
Investment funds	145,099		220,014		54,253
Arbitrage trading account	45,213		37,676		77,931
Real estate	(3,087)		7,703		24,027
Equity securities	52,600		32,020		10,172
Gross investment income	789,106		679,414		592,946
Investment expense	(9,921)		(7,796)		(9,125)
Net investment income	$	779,185	$	671,618	$	583,821

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(8)    Investment Funds

The Company evaluates whether it is an investor in a variable interest entity ("VIE").  Such entities do not have sufficient equity at risk to finance their activities without additional subordinated financial support, or the equity investors, as a group, do not have the characteristics of a controlling financial interest (primary beneficiary). The Company determines whether it is the primary beneficiary of an entity subject to consolidation based on a qualitative assessment of the VIE's capital structure, contractual terms, nature of the VIE's operations and purpose, and the Company's relative exposure to the related risks of the VIE on the date it becomes initially involved in the VIE and on an ongoing basis. The Company is not the primary beneficiary in any of its investment funds, and accordingly, carries its interests in investments funds under the equity method of accounting.

The Company’s maximum exposure to loss with respect to these investments is limited to the carrying amount reported on the Company’s consolidated balance sheet and its unfunded commitments of $402 million as of December 31, 2022.

Investment funds consist of the following:

	Carrying Value as of December 31,				Income (Loss) From Investment Funds For the Year Ended
(In thousands)	2022		2021		2022		2021		2020
Financial services	$	465,683	$	431,818	$	34,030	$	98,893	$	34,763
Transportation	336,753		336,688		53,180		42,424		(616)
Real estate	204,644		273,690		48,723		29,484		7,543
Energy	116,432		150,224		1,425		22,118		(11,039)
Infrastructure	115,428		12,314		4,603		1,372		1,672
Other funds	369,608		275,878		3,138		25,723		21,930
Total	$	1,608,548	$	1,480,612	$	145,099	$	220,014	$	54,253

The Company's share of the earnings or losses of investment funds is primarily reported on a one-quarter lag in order to facilitate the timely completion of the Company's consolidated financial statements.

Financial services investment funds include the Company’s minority investment in Lifson Re, a Bermuda reinsurance company. Effective January 1, 2021, Lifson Re participated on a fully collateralized basis in a majority of the Company’s reinsurance placements for a 22.5% share of placed amounts. The percentage increased from 22.5% to 30.0% effective July 1, 2022. This pertains to all traditional reinsurance/retrocessional placements for both property and casualty business where there is more than one open market reinsurer participating. For the years ended December 31, 2022 and 2021, the Company ceded approximately $399 million and $245 million, respectively, of written premiums to Lifson Re.

Other funds include deferred compensation trust assets of $30 million and $34 million in 2022 and 2021, respectively. These assets support other liabilities reflected in the balance sheet of an equal amount for employees who have elected to defer a portion of their compensation. The change in the net asset value of the trust is recorded in other funds within net investment income with an offsetting equal amount within corporate expenses.

(9)    Real Estate

Investment in real estate represents directly owned property held for investment, as follows:    

	As of December 31,
(In thousands)	2022		2021
Properties in operation	$	1,114,167	$	1,626,826
Properties under development	226,455		225,682
Total	$	1,340,622	$	1,852,508

In 2022, properties in operation included a long-term ground lease in Washington, D.C., an office complex in New York City and the completed portion of a mixed-use project in Washington D.C. Properties in operation are net of accumulated depreciation and amortization of $33,206,000 and $57,391,000 as of December 31, 2022 and 2021, respectively. Related

78

depreciation expense was $12,269,000 and $19,688,000 for the years ended December 31, 2022 and 2021, respectively. Future minimum rental income expected on operating leases relating to properties in operation is $32,282,796 in 2023, $33,528,105 in 2024, $31,015,149 in 2025, $29,250,535 in 2026, $28,334,384 in 2027 and $510,771,307 thereafter.

During the first quarter of 2022, the Company sold a real estate investment in London (proceeds from the real estate and related entity is presented on the business disposition line within the consolidated statements of cash flows).

A mixed-use project in Washington, D.C. had been under development in 2022 and 2021, with the completed portion as noted above reported in properties in operation as of December 31, 2022.

(10)    Loans Receivable

At December 31, 2022 and 2021, loans receivable were as follows:

	As of December 31,
(In thousands)	2022		2021
Amortized cost (net of allowance for expected credit losses):
Real estate loans	$	173,616	$	89,431
Commercial loans	19,386		25,741
Total	$	193,002	$	115,172
Fair value:
Real estate loans	$	168,595	$	90,793
Commercial loans	19,386		25,741
Total	$	187,981	$	116,534

The real estate loans are secured by commercial and residential real estate primarily located in London and New York. These loans generally earn interest at fixed or stepped interest rates and have maturities through 2026. The commercial loans are with small business owners who have secured the related financing with the assets of the business. Commercial loans primarily earn interest on a fixed basis and have varying maturities generally not exceeding 10 years.

Loans receivable in non-accrual status was none and $0.2 million as of December 31, 2022 and 2021, respectively.

The following table presents the rollforward of the allowance for expected credit losses for loans receivable for the years ended December 31, 2022 and 2021:

	2022						2021
(In thousands)	Real Estate Loans		Commercial Loans		Total		Real Estate Loans		Commercial Loans		Total
Allowance for expected credit losses, beginning of period	$	1,362	$	356	$	1,718	$	1,683	$	3,754	$	5,437
Change in allowance for expected credit losses	(262)		335		73		(321)		(3,398)		(3,719)
Allowance for expected credit losses, end of period	$	1,100	$	691	$	1,791	$	1,362	$	356	$	1,718

The Company monitors the performance of its loans receivable and assesses the ability of the borrower to pay principal and interest based upon loan structure, underlying property values, cash flow and related financial and operating performance of the property and market conditions.

In evaluating the real estate loans, the Company considers their credit quality indicators, including loan to value ratios, which compare the outstanding loan amount to the estimated value of the property, the borrower’s financial condition and performance with respect to loan terms, the position in the capital structure, the overall leverage in the capital structure and other market conditions.

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(11)    Net Investment Gains

Net investment gains were as follows:

(In thousands)	2022		2021		2020
Net investment gains:
Fixed maturity securities:
Gains	$	4,224	$	18,981	$	27,819
Losses	(11,654)		(6,975)		(56,096)
Equity securities (1):
Net realized (losses) gains on investment sales	(12,879)		16,365		32,647
Change in unrealized losses	(632)		(38,455)		(25,868)
Investment funds	12,407		44,778		31,481
Real estate (2)	293,525		94,911		101,554
Loans receivable	(32)		(881)		—
Other	(67,648)		(21,766)		(38,023)
Net realized and unrealized gains on investments in earnings before allowance for expected credit losses	217,311		106,958		73,514
Change in allowance for expected credit losses on investments:
Fixed maturity securities	(14,841)		(20,045)		33,134
Loans receivable	(73)		3,719		(3,648)
Change in allowance for expected credit losses on investments	(14,914)		(16,326)		29,486
Net investment gains	202,397		90,632		103,000
Income tax expense	(42,670)		(17,710)		(21,630)
After-tax net investment gains	$	159,727	$	72,922	$	81,370

Change in unrealized investment (losses) gains:
Fixed maturity securities without allowance for expected credit losses	$	(1,216,292)	$	(262,221)	$	134,129
Fixed maturity securities with allowance for expected credit losses	(28,370)		10,124		32,004
Investment funds	(2,019)		(1,270)		2,280
Other	(1,447)		(1,572)		(3,768)
Total change in unrealized investment (losses) gains	(1,248,128)		(254,939)		164,645
Income tax benefit (expense)	264,325		56,127		(24,395)
Noncontrolling interests	(2)		(2)		(2)
After-tax change in unrealized investment (losses) gains	$	(983,805)	$	(198,814)	$	140,248

____________________

(1) The net realized gains or losses on investment sales represent the total gains or losses from the purchase dates of the equity securities. The change in unrealized (losses) gains consists of two components: (i) the reversal of the gain or loss recognized in previous periods on equity securities sold and (ii) the change in unrealized gain or loss resulting from mark-to-market adjustments on equity securities still held.

(2) During March 2022, the Company realized a gain on the sale of a real estate investment in London, U.K. of $251 million, net of transaction expenses and the foreign currency impact, including the reversal of the currency translation adjustment.

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(12)    Fixed Maturity Securities in an Unrealized Loss Position

The following tables summarize all fixed maturity securities in an unrealized loss position at December 31, 2022 and 2021 by the length of time those securities have been continuously in an unrealized loss position.

	Less Than 12 Months				12 Months or Greater				Total
(In thousands)	Fair Value		Gross Unrealized Losses		Fair Value		Gross Unrealized Losses		Fair Value		Gross Unrealized Losses
December 31, 2022
U.S. government and government agency	$	285,391	$	10,219	$	453,520	$	58,939	$	738,911	$	69,158
State and municipal	1,720,443		89,272		598,797		79,320		2,319,240		168,592
Mortgage-backed securities	1,099,549		75,430		473,318		115,528		1,572,867		190,958
Asset-backed securities	1,569,647		48,390		2,176,638		103,932		3,746,285		152,322
Corporate	3,690,856		150,115		2,349,281		256,631		6,040,137		406,746
Foreign government	477,672		29,815		711,786		105,243		1,189,458		135,058
Fixed maturity securities	$	8,843,558	$	403,241	$	6,763,340	$	719,593	$	15,606,898	$	1,122,834
December 31, 2021
U.S. government and government agency	$	487,712	$	4,026	$	17,021	$	268	$	504,733	$	4,294
State and municipal	502,333		7,403		29,547		2,156		531,880		9,559
Mortgage-backed securities	558,751		6,900		106,130		4,762		664,881		11,662
Asset-backed securities	3,832,944		18,503		75,385		291		3,908,329		18,794
Corporate	2,582,860		29,322		51,095		3,088		2,633,955		32,410
Foreign government	758,975		15,793		82,057		31,701		841,032		47,494
Fixed maturity securities	$	8,723,575	$	81,947	$	361,235	$	42,266	$	9,084,810	$	124,213

Substantially all of the securities in an unrealized loss position are rated investment grade, except for the securities in the foreign government classification. A significant amount of the unrealized loss on foreign government securities is the result of changes in currency exchange rates.

Fixed Maturity Securities — A summary of the Company’s non-investment grade fixed maturity securities that were in an unrealized loss position at December 31, 2022 is presented in the table below:

($ in thousands)	Number of Securities	Aggregate Fair Value		Gross Unrealized Loss
Foreign government	36	$	119,332	$	73,900
Corporate	10	39,347		4,649
State and municipal	1	12,247		2,756
Mortgage-backed securities	14	4,464		269
Asset-backed securities	1	16		10
Total	62	$	175,406	$	81,584

For fixed maturity securities that management does not intend to sell or to be required to sell, the portion of the decline in value that is considered to be due to credit factors is recognized in earnings, and the portion of the decline in value that is considered to be due to non-credit factors is recognized in other comprehensive income.

The Company has evaluated its fixed maturity securities in an unrealized loss position and believes the unrealized losses are due primarily to temporary market and sector-related factors rather than to issuer-specific factors. None of these securities are delinquent or in default under financial covenants. Based on its assessment of these issuers, the Company expects them to continue to meet their contractual payment obligations as they become due.

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(13)    Fair Value Measurements

The Company’s fixed maturity and equity securities classified as available for sale and its trading account securities are carried at fair value. 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”. The Company utilizes a fair value hierarchy that prioritizes the inputs to valuation techniques used to measure fair value into three broad levels, as follows:

Level 1 - Quoted prices (unadjusted) in active markets for identical assets or liabilities that the Company has the ability to access at the measurement date.  

Level 2 - Quoted prices for similar assets or valuations based on inputs that are observable.     

Level 3 - Estimates of fair value based on internal pricing methodologies using unobservable inputs. Unobservable inputs are only used to measure fair value to the extent that observable inputs are not available.

Substantially all of the Company’s fixed maturity securities were priced by independent pricing services. The prices provided by the independent pricing services are estimated based on observable market data in active markets utilizing pricing models and processes, which may include benchmark yields, reported trades, broker/dealer quotes, issuer spreads, two-sided markets, benchmark securities, bids, offers, sector groupings, matrix pricing and reference data. The pricing services may prioritize inputs differently on any given day for any security based on market conditions, and not all inputs are available for each security evaluation on any given day. The pricing services used by the Company have indicated that they will only produce an estimate of fair value if objectively verifiable information is available. The determination of whether markets are active or inactive is based upon the volume and level of activity for a particular asset class. The Company reviews the prices provided by pricing services for reasonableness and periodically performs independent price tests of a sample of securities to ensure proper valuation.

If prices from independent pricing services are not available for fixed maturity securities, the Company estimates the fair value. For Level 2 securities, the Company utilizes pricing models and processes which may include benchmark yields, sector groupings, matrix pricing, reported trades, broker/dealer quotes, issuer spreads, two-sided markets, bids, offers and reference data. Where broker quotes are used, the Company generally requests two or more quotes and sets a price within the range of quotes received based on its assessment of the credibility of the quote and its own evaluation of the security. The Company generally does not adjust quotes received from brokers. For securities traded only in private negotiations, the Company determines fair value based primarily on the cost of such securities, which is adjusted to reflect prices of recent placements of securities of the same issuer, financial projections, credit quality and business developments of the issuer and other relevant information.

For Level 3 securities, the Company generally uses a discounted cash flow model to estimate the fair value of fixed maturity securities. The cash flow models are based upon assumptions as to prevailing credit spreads, interest rate and interest rate volatility, time to maturity and subordination levels. Projected cash flows are discounted at rates that are adjusted to reflect illiquidity, where appropriate.

82

The following tables present the assets and liabilities measured at fair value as of December 31, 2022 and 2021 by level:

(In thousands)	Total		Level 1		Level 2		Level 3
December 31, 2022
Assets:
Fixed maturity securities available for sale:
U.S. government and government agency	$	892,258	$	—	$	892,258	$	—
State and municipal	2,890,098		—		2,890,098		—
Mortgage-backed securities	1,665,410		—		1,665,410		—
Asset-backed securities	3,982,773		—		3,982,773		—
Corporate	6,703,992		—		6,703,992
Foreign government	1,401,522		—		1,401,522		—
Total fixed maturity securities available for sale	17,536,053		—		17,536,053		—
Equity securities:
Common stocks	982,751		978,991		1,161		2,599
Preferred stocks	203,143		—		191,844		11,299
Total equity securities	1,185,894		978,991		193,005		13,898
Arbitrage trading account	944,230		822,192		118,448		3,590
Total	$	19,666,177	$	1,801,183	$	17,847,506	$	17,488
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	—	$	—	$	—
December 31, 2021
Assets:
Fixed maturity securities available for sale:
U.S. government and government agency	$	855,343	$	—	$	855,343	$	—
State and municipal	3,304,133		—		3,304,133		—
Mortgage-backed securities	1,068,075		—		1,068,075		—
Asset-backed securities	4,490,565		—		4,490,565		—
Corporate	5,595,675		—		5,595,675		—
Foreign government	1,214,901		—		1,214,901		—
Total fixed maturity securities available for sale	16,528,692		—		16,528,692		—
Equity securities:
Common stocks	695,403		684,470		1,639		9,294
Preferred stocks	245,840		—		234,544		11,296
Total equity securities	941,243		684,470		236,183		20,590
Arbitrage trading account	1,179,606		1,153,079		26,527		—
Total	$	18,649,541	$	1,837,549	$	16,791,402	$	20,590
Liabilities:
Trading account securities sold but not yet purchased	$	1,169	$	1,137	$	32	$	—

83

The following tables summarize changes in Level 3 assets and liabilities for the years ended December 31, 2022 and 2021:

	Gains (Losses) Included in:
(In thousands)	Beginning Balance		Earnings (Losses)		Other Comprehensive Income (Losses)		Impairments		Purchases		Sales		Paydowns/Maturities		Transfers In / Out		Ending Balance
Year ended December 31, 2022
Assets:
Fixed maturity securities available for sale:
Corporate	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—
Total	—		—		—		—		—		—		—		—		—
Equity securities:
Common stocks	9,294		(6,695)		—		—		—		—		—		—		2,599
Preferred stocks	11,296		3		—		—		925		(925)		—		—		11,299
Total	20,590		(6,692)		—		—		925		(925)		—		—		13,898
Arbitrage trading account	—		(179)		—		—		4,685		(917)		—		1		3,590
Total	$	20,590	$	(6,871)	$	—	$	—	$	5,610	$	(1,842)	$	—	$	1	$	17,488
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—
Year ended December 31, 2021
Assets:
Fixed maturity securities available for sale:
Corporate	$	1,000	$	—	$	—	$	—	$	—	$	(1,000)	$	—	$	—	$	—
Total	1,000		—		—		—		—		(1,000)		—		—		—
Equity securities:
Common stocks	9,215		640		—		—		—		(561)		—		—		9,294
Preferred stocks	9,331		(35)		—		—		2,000		—		—		—		11,296
Total	18,546		605		—		—		2,000		(561)		—		—		20,590
Arbitrage trading account	—		8		—		—		—		(8)		—		—		—
Total	$	19,546	$	613	$	—	$	—	$	2,000	$	(1,569)	$	—	$	—	$	20,590
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	1	$	—	$	—	$	(1)	$	—	$	—	$	—	$	—

For the years ended December 31, 2022 and 2021, there were no fixed maturity security transferred into or out of Level 3.

84

(14) Reserves for Losses and Loss Expenses

The Company's reserves for losses and loss expenses are comprised of case reserves and incurred but not reported liabilities (IBNR). When a claim is reported, a case reserve is established for the estimated ultimate payment based upon known information about the claim. As more information about the claim becomes available over time, case reserves are adjusted up or down as appropriate. Reserves are also established on an aggregate basis to provide for IBNR liabilities and expected loss reserve development on reported claims.

Loss reserves included in the Company’s financial statements represent management’s best estimates based upon an actuarially derived point estimate and other considerations. The Company uses a variety of actuarial techniques and methods to derive an actuarial point estimate for each business. These methods may include paid loss development, incurred loss development, paid and incurred Bornhuetter-Ferguson methods and frequency and severity methods. In circumstances where one actuarial method is considered more credible than the others, that method is used to set the point estimate. The actuarial point estimate may also be based on a judgmental weighting of estimates produced from each of the methods considered. Industry loss experience is used to supplement the Company’s own data in selecting “tail factors” in areas where the Company’s own data is limited. The actuarial data is analyzed by line of business, coverage and accident or policy year, as appropriate, for each business.

The establishment of the actuarially derived loss reserve point estimate also includes consideration of qualitative factors that may affect the ultimate losses. These qualitative considerations include, among others, the impact of re-underwriting initiatives, changes in claims handling procedures, changes in the mix of business, changes in distribution sources and changes in policy terms and conditions.

The key assumptions used to arrive at the best estimate of loss reserves are the expected loss ratios, rate of loss cost inflation, and reported and paid loss emergence patterns. Expected loss ratios represent management’s expectation of losses at the time the business is priced and written, before any actual claims experience has emerged. This expectation is a significant determinant of the estimate of loss reserves for recently written business where there is little paid or incurred loss data to consider. Expected loss ratios are generally derived from historical loss ratios adjusted for the impact of rate changes, loss cost trends and known changes in the type of risks underwritten. Expected loss ratios are estimated for each key line of business within each business. Expected loss cost inflation is particularly important for the long-tail lines, such as excess casualty, and claims with a high medical component, such as workers’ compensation. Reported and paid loss emergence patterns are used to project current reported or paid loss amounts to their ultimate settlement value. Loss development factors are based on the historical emergence patterns of paid and incurred losses, and are derived from the Company’s own experience and industry data. The paid loss emergence pattern is also significant to excess and assumed workers’ compensation reserves because those reserves are discounted to their estimated present value based upon such estimated payout patterns.

Loss frequency and severity are measures of loss activity that are considered in determining the key assumptions described in our discussion of loss and loss expense reserves, including expected loss ratios, rate of loss cost inflation and reported and paid loss emergence patterns. Loss frequency is a measure of the number of claims per unit of insured exposure, and loss severity is a measure of the average size of claims. Factors affecting loss frequency include the effectiveness of loss controls and safety programs and changes in economic activity or weather patterns. Factors affecting loss severity include changes in policy limits, retentions, rate of inflation and judicial interpretations.

Another factor affecting estimates of loss frequency and severity is the loss reporting lag, which is the period of time between the occurrence of a loss and the date the loss is reported to the Company. The length of the loss reporting lag affects our ability to accurately predict loss frequency (loss frequencies are more predictable for lines with short reporting lags) as well as the amount of reserves needed for incurred but not reported losses (less IBNR is required for lines with short reporting lags). As a result, loss reserves for lines with short reporting lags are likely to have less variation from initial loss estimates. For lines with short reporting lags, which include commercial automobile, primary workers’ compensation, other liability (claims-made) and property business, the key assumption is the loss emergence pattern used to project ultimate loss estimates from known losses paid or reported to date. For lines of business with long reporting lags, which include other liability (occurrence), products liability, excess workers’ compensation and liability reinsurance, the key assumption is the expected loss ratio since there is often little paid or incurred loss data to consider. Historically, the Company has experienced less variation from its initial loss estimates for lines of businesses with short reporting lags than for lines of business with long reporting lags.

The key assumptions used in calculating the most recent estimate of the loss reserves are reviewed each quarter and adjusted, to the extent necessary, to reflect the latest reported loss data, current trends and other factors observed.

A claim may be defined as an event, as a claimant (number of parties claiming damages from an event) or by exposure type (e.g., an event may give rise to two parties, each claiming loss for bodily injury and property damage).

85

The most commonly used claim count method is by event. Most of the Company's businesses use the number of events to define and quantify the number of claims. However, in certain lines of business, where it is common for multiple parties to claim damages arising from a single event, a business may quantify claims on the basis of the number of separate parties involved in an event. This may be the case with businesses writing substantial automobile or transportation exposure.

Claim counts for assumed reinsurance will vary based on whether the business is written on a facultative or treaty basis. Further variability as respects treaty claim counts may be reflective of the nature of the treaty, line of business coverage, and type of participation such as quota share or excess of loss contracts. Accordingly, the claim counts have been excluded from the below Reinsurance & Monoline Excess segment tables due to this variability.

The claim count information set forth in the tables presented below may not provide an accurate reflection of ultimate loss payouts by product line.

The following tables present undiscounted incurred and paid claims development as of December 31, 2022, net of reinsurance, as well as cumulative claim frequency and the total of incurred but not reported liabilities (IBNR). The information about incurred and paid claims development for the years ended December 31, 2013 to 2021 is presented as supplementary information. To enhance the comparability of the loss development data, the Company has removed the impact of foreign exchange rate movements by using the December 31, 2022 exchange rate for all periods.

86

Insurance

Other Liability

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	749,261	$	788,581	$	779,908	$	779,706	$	800,593	$	806,914	$	801,689	$	805,915	$	807,998	$	809,358	$	21,362	26
2014			844,832		845,564		843,501		848,138		861,313		867,400		862,749		861,382		862,630		35,808		28
2015					948,389		984,262		958,734		961,761		964,301		974,345		981,071		1,010,796		55,430		27
2016							1,016,106		1,009,051		1,018,253		1,029,821		1,043,948		1,059,897		1,091,569		96,310		28
2017									1,065,550		1,099,396		1,121,833		1,138,785		1,178,604		1,249,129		142,974		28
2018											1,103,900		1,131,549		1,121,317		1,156,157		1,232,803		181,880		27
2019													1,240,560		1,237,336		1,237,824		1,294,681		292,625		28
2020															1,339,565		1,212,790		1,158,880		489,718		22
2021																	1,534,580		1,390,790		841,854		23
2022																			1,823,680		1,507,284		20
Total																			$	11,924,316

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	63,243	$	188,023	$	330,127	$	470,566	$	585,608	$	646,257	$	691,495	$	717,908	$	738,858	$	761,461
2014			78,705		190,419		337,426		478,924		592,828		678,490		728,718		758,098		781,533
2015					82,638		210,151		381,328		536,855		674,665		755,641		814,191		872,657
2016							69,407		208,828		389,862		557,998		676,735		766,515		870,981
2017									79,887		255,603		453,097		638,934		774,738		930,630
2018											86,798		264,299		435,729		615,753		806,869
2019													88,195		275,343		471,239		704,928
2020															72,232		225,068		423,283
2021																	76,612		267,685
2022																			93,519
Total																			$	6,513,546
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		125,357
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	5,536,127

87

Workers' Compensation

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	552,570	$	547,295	$	546,995	$	543,238	$	547,000	$	542,274	$	541,926	$	540,322	$	538,503	$	534,948	$	11,473	53
2014			639,436		637,307		627,767		617,242		615,435		604,030		600,194		602,000		598,977		21,528		57
2015					712,800		690,525		650,997		641,169		626,432		620,741		617,478		612,687		29,213		58
2016							702,716		696,339		684,700		660,520		651,278		657,972		654,385		36,834		58
2017									762,093		733,505		689,622		673,216		683,880		682,153		41,944		58
2018											778,964		724,697		715,055		724,056		721,170		43,766		56
2019													784,281		721,018		732,762		734,034		67,254		54
2020															725,245		716,430		704,008		96,322		42
2021																	742,687		701,703		149,447		45
2022																			772,620		348,348		41
Total																			$	6,716,685

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	117,900	$	277,538	$	363,028	$	414,160	$	447,894	$	466,580	$	479,104	$	489,075	$	496,809	$	502,181
2014			148,405		319,743		412,611		471,235		503,915		521,141		531,475		538,914		547,894
2015					139,320		323,744		421,734		477,541		512,933		531,512		544,849		557,215
2016							142,998		338,835		446,072		504,850		537,861		558,934		572,669
2017									153,456		362,299		468,817		525,753		559,198		583,258
2018											171,006		397,464		508,546		574,889		613,675
2019													184,715		397,376		515,914		581,003
2020															172,478		380,454		485,203
2021																	172,729		384,867
2022																			180,982
Total																			$	5,008,947
			Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																214,233
			Reserves for loss and loss adjustment expenses, net of reinsurance																$	1,921,971

88

Professional Liability

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	265,061	$	244,556	$	241,046	$	246,943	$	267,978	$	276,566	$	281,888	$	279,824	$	279,870	$	283,216	$	4,681	7
2014			250,740		244,574		257,309		241,376		236,961		255,850		254,868		254,243		253,244		12,284		7
2015					257,946		256,595		272,899		274,546		290,141		281,718		282,065		286,271		19,949		8
2016							309,417		323,222		360,110		400,799		438,065		467,545		463,102		33,241		9
2017									333,267		332,400		338,723		377,410		384,416		393,409		53,786		10
2018											334,848		322,176		333,408		359,566		382,409		73,828		10
2019													336,129		332,385		345,614		354,283		93,387		11
2020															394,107		375,577		337,961		159,767		11
2021																	524,879		471,266		315,877		11
2022																			648,941		543,483		10
Total																			$	3,874,102

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	23,295	$	63,503	$	118,767	$	176,079	$	204,955	$	246,616	$	255,863	$	261,106	$	267,776	$	273,094
2014			19,225		83,063		137,341		174,524		197,272		213,888		225,236		234,459		237,145
2015					20,331		85,047		139,205		186,688		215,408		232,143		239,150		246,031
2016							28,517		102,173		201,019		254,872		296,863		356,812		404,742
2017									36,503		96,312		162,829		243,088		261,225		306,713
2018											28,101		99,598		155,212		198,697		244,284
2019													31,674		97,466		147,985		200,521
2020															28,106		80,408		129,168
2021																	28,586		86,056
2022																			33,446
Total																			$	2,161,200
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		36,484
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	1,749,386

89

Commercial Automobile

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	327,514	$	349,136	$	368,894	$	376,243	$	366,646	$	366,166	$	365,275	$	364,207	$	364,439	$	364,607	$	103	44
2014			363,891		385,241		416,802		414,732		412,120		411,920		407,470		406,589		407,970		403		47
2015					389,577		415,446		421,522		429,608		430,557		428,981		426,107		427,923		1,362		53
2016							429,329		429,074		440,334		441,408		438,192		437,884		439,682		2,244		52
2017									430,440		428,419		430,198		434,170		439,991		444,472		4,800		47
2018											442,610		462,544		478,966		494,315		521,667		10,720		46
2019													483,019		488,291		504,813		530,876		22,483		45
2020															523,736		428,759		442,163		31,172		30
2021																	614,422		596,810		111,412		38
2022																			792,553		342,905		40
Total																			$	4,968,723

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	142,929	$	218,596	$	267,253	$	321,855	$	342,961	$	352,792	$	361,499	$	362,252	$	362,624	$	364,147
2014			155,564		237,648		326,854		364,054		392,658		400,577		403,273		404,259		405,004
2015					159,987		263,663		323,429		368,448		396,018		409,426		415,170		418,993
2016							183,160		277,665		339,657		388,554		407,989		418,499		426,955
2017									180,545		267,326		326,861		371,761		401,844		419,545
2018											180,056		281,475		350,110		412,874		463,117
2019													185,236		290,124		374,479		440,378
2020															142,815		228,357		308,451
2021																	180,860		319,941
2022																			253,206
Total																			$	3,819,737
			Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																3,731
			Reserves for loss and loss adjustment expenses, net of reinsurance																$	1,152,717

90

Short-tail lines

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	565,391	$	573,905	$	565,810	$	549,518	$	548,169	$	544,681	$	542,863	$	542,148	$	541,857	$	541,728	$	1,125	25
2014			691,971		697,845		659,563		658,252		659,230		659,568		662,012		660,250		658,557		1,549		30
2015					736,523		726,287		723,206		721,789		713,899		712,361		710,663		710,978		3,842		32
2016							771,390		775,308		762,460		757,009		751,530		753,952		752,604		3,363		34
2017									752,727		753,326		747,630		747,003		746,603		747,869		8,195		42
2018											759,634		748,931		746,265		744,544		742,289		11,491		48
2019													721,073		701,241		691,015		684,708		18,311		43
2020															900,683		904,580		922,333		24,934		38
2021																	828,187		832,183		57,246		36
2022																			944,842		235,121		32
Total																			$	7,538,091

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	310,750	$	480,140	$	526,031	$	527,789	$	534,569	$	535,756	$	536,416	$	537,582	$	538,985	$	539,081
2014			368,865		587,607		609,948		628,440		643,619		650,816		653,272		653,784		654,089
2015					392,921		608,748		664,084		686,029		695,563		701,341		708,065		708,214
2016							416,611		669,891		711,385		726,549		731,651		738,390		739,244
2017									445,285		689,662		718,538		730,688		734,509		741,685
2018											414,910		661,741		708,214		725,138		725,228
2019													404,975		615,869		645,374		657,819
2020															460,434		784,670		845,714
2021																	405,512		698,092
2022																			472,024
Total																			$	6,781,190
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		4,727
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	761,628

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Reinsurance & Monoline Excess

Casualty

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022		IBNR
2013	$	318,365	$	269,340	$	272,475	$	282,307	$	291,105	$	298,317	$	302,595	$	301,415	$	302,672	$	302,135	$	12,543
2014			319,454		318,904		318,443		330,382		324,693		324,150		335,883		336,990		341,649		16,184
2015					259,019		231,430		230,085		252,277		293,094		303,261		304,805		309,317		19,728
2016							240,655		252,638		245,268		267,850		301,663		301,355		310,451		24,928
2017									231,082		220,699		238,883		261,482		281,254		298,486		36,491
2018											221,193		210,397		230,790		246,898		261,148		44,474
2019													236,318		230,460		239,131		240,848		72,504
2020															299,602		293,345		289,878		136,865
2021																	359,952		346,736		243,222
2022																			446,676		402,204
Total																			$	3,147,324

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	28,945	$	63,745	$	108,852	$	144,331	$	178,060	$	205,553	$	225,882	$	241,573	$	254,273	$	263,467
2014			21,297		68,374		115,779		155,070		197,996		227,448		252,155		271,512		284,360
2015					17,888		48,442		91,140		141,254		178,521		205,289		233,643		250,880
2016							19,904		61,770		100,200		140,299		171,719		205,354		225,077
2017									16,469		40,085		69,350		123,614		147,311		175,059
2018											11,076		40,953		77,498		109,474		141,553
2019													14,560		39,091		64,020		94,856
2020															20,750		49,664		81,789
2021																	10,918		43,838
2022																			11,595
Total																			$	1,572,474
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		417,861
			Reserves for loss and loss adjustment expenses, net of reinsurance																$	1,992,711

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Monoline Excess

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022		IBNR
2013	$	63,995	$	50,355	$	48,143	$	44,162	$	40,207	$	35,120	$	31,752	$	29,758	$	25,701	$	23,306	$	5,184
2014			63,561		57,650		49,570		45,823		41,671		42,541		42,618		40,652		35,707		7,484
2015					69,977		57,897		50,099		45,115		39,682		39,781		36,774		30,104		8,683
2016							72,657		70,281		71,404		64,957		65,485		65,222		61,432		13,634
2017									76,701		80,508		70,749		71,025		66,795		62,647		16,529
2018											77,820		72,505		71,448		66,180		57,847		20,826
2019													78,929		77,482		76,242		73,978		21,878
2020															84,354		83,468		80,452		35,638
2021																	98,110		87,980		48,670
2022																			98,923		66,865
Total																			$	612,376

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	647	$	1,897	$	3,588	$	3,008	$	3,396	$	4,418	$	5,349	$	6,476	$	8,805	$	9,490
2014			377		2,341		3,354		4,175		5,808		7,595		11,154		11,938		13,491
2015					2,069		2,481		3,272		4,099		4,416		5,083		5,421		6,457
2016							2,498		4,783		5,573		5,928		7,685		9,883		11,819
2017									6,282		12,810		15,356		17,327		18,375		19,275
2018											6,141		8,230		9,368		10,359		12,414
2019													6,241		10,884		12,728		15,436
2020															4,869		8,699		10,471
2021																	4,586		6,026
2022																			5,898
Total																			$	110,777
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		644,712
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	1,146,311

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Property

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022		IBNR
2013	$	141,380	$	112,616	$	114,100	$	111,937	$	112,572	$	111,890	$	109,697	$	107,552	$	106,316	$	105,711	$	72
2014			112,907		96,492		97,195		99,941		99,176		98,838		99,244		97,315		96,656		177
2015					127,118		117,452		131,625		130,301		129,398		131,071		130,642		131,342		1,061
2016							167,901		174,423		181,634		180,885		186,159		184,150		185,249		1,482
2017									206,560		200,394		199,410		197,978		191,867		192,379		1,209
2018											108,220		112,068		103,104		105,101		102,953		1,754
2019													103,113		77,062		81,858		81,014		3,637
2020															114,590		117,867		116,774		3,946
2021																	133,938		146,761		28,634
2022																			167,039		78,818
Total																			$	1,325,878

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	36,577	$	74,572	$	92,625	$	101,538	$	104,323	$	106,043	$	107,603	$	104,403	$	104,388	$	105,059
2014			38,780		66,829		82,119		88,257		91,390		93,099		94,565		95,198		95,633
2015					53,474		89,121		109,051		118,552		122,566		125,439		126,848		127,995
2016							78,920		133,516		157,404		168,506		175,949		178,060		182,411
2017									72,126		141,340		171,675		179,749		182,609		185,823
2018											33,991		65,079		82,259		87,736		94,870
2019													23,081		54,499		68,457		71,054
2020															26,574		65,575		86,888
2021																	15,235		71,797
2022																			25,584
Total																			$	1,047,114
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		1,036
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	279,800

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The reconciliation of the net incurred and paid claims development tables to the reserves for losses and loss expenses in the consolidated balance sheet is as follows:

(In thousands)		December 31, 2022
Undiscounted reserves for loss and loss expenses, net of reinsurance:
	Other liability	$	5,536,127
	Workers' compensation	1,921,971
	Professional liability	1,749,386
	Commercial automobile	1,152,717
	Short-tail lines	761,628
	Other	124,586
	Insurance	11,246,415
	Casualty	1,992,711
	Monoline excess	1,146,311
	Property	279,800
	Reinsurance & Monoline Excess	3,418,822
Total undiscounted reserves for loss and loss expenses, net of reinsurance		$	14,665,237

(In thousands)		December 31, 2022
Due from reinsurers on unpaid claims:
	Other liability	$	730,029
	Workers' compensation	221,769
	Professional liability	1,019,810
	Commercial automobile	67,895
	Short-tail lines	414,549
	Other	97,511
	Insurance	2,551,563
	Casualty	108,390
	Monoline excess	35,926
	Property	66,465
	Reinsurance & Monoline Excess	210,781
Total due from reinsurers on unpaid claims		$	2,762,344

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(In thousands)		December 31, 2022
Loss reserve discount:
	Other liability	$	—
	Workers' compensation	(12,491)
	Professional liability	—
	Commercial automobile	—
	Short-tail lines	—
	Other	—
	Insurance	(12,491)
	Casualty	(84,668)
	Monoline excess	(319,199)
	Property	—
	Reinsurance & Monoline Excess	(403,867)
Total loss reserve discount		$	(416,358)
Total gross reserves for loss and loss expenses		$	17,011,223

The following is supplementary information regarding average historical claims duration as of December 31, 2022:

Insurance
Average Annual Percentage Payout of Incurred Claims by Age, Net of Reinsurance
Years	1		2		3		4		5		6		7		8		9		10
Other liability	6.9	%	13.7	%	16.3	%	16.0	%	13.1	%	9.2	%	6.7	%	4.2	%	2.7	%	2.8	%
Workers' compensation	23.5	%	29.9	%	15.7	%	9.1	%	5.5	%	3.2	%	2.1	%	1.7	%	1.5	%	1.0	%
Professional liability	7.4	%	17.6	%	17.7	%	15.7	%	9.1	%	10.3	%	5.1	%	2.6	%	3.0	%	1.9	%
Commercial automobile	36.1	%	20.9	%	15.5	%	11.5	%	6.7	%	2.8	%	1.6	%	0.4	%	0.1	%	0.4	%
Short-tail lines	54.7	%	32.8	%	5.8	%	2.0	%	1.0	%	0.8	%	0.4	%	0.1	%	0.2	%	—	%
Reinsurance & Monoline Excess
Average Annual Percentage Payout of Incurred Claims by Age, Net of Reinsurance
Years	1		2		3		4		5		6		7		8		9		10
Casualty	5.7	%	10.9	%	12.5	%	13.7	%	11.0	%	9.3	%	7.4	%	5.5	%	4.0	%	3.0	%
Monoline excess	6.1	%	4.7	%	3.1	%	1.7	%	2.6	%	3.3	%	4.6	%	3.5	%	7.2	%	2.9	%
Property	30.5	%	33.2	%	16.1	%	5.8	%	3.6	%	1.7	%	1.6	%	0.3	%	0.1	%	—	%

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The table below provides a reconciliation of the beginning and ending reserve balances:

(In thousands)	2022		2021		2020
Net reserves at beginning of year	$	12,848,362	$	11,620,393	$	10,697,998
Cumulative effect adjustment resulting from changes in accounting principles (1)	—		—		5,927
Restated net reserves at beginning of period	12,848,362		11,620,393		10,703,925
Net provision for losses and loss expenses:
Claims occurring during the current year (2)	5,774,713		4,921,191		4,432,937
Increase in estimates for claims occurring in prior years (3)	54,511		863		627
Loss reserve discount accretion	32,526		31,906		35,142
Total	5,861,750		4,953,960		4,468,706
Net payments for claims:
Current year	1,068,577		887,896		921,054
Prior year	3,279,333		2,777,798		2,677,595
Total	4,347,910		3,665,694		3,598,649
Foreign currency translation	(113,323)		(60,297)		46,411
Net reserves at end of year	14,248,879		12,848,362		11,620,393
Ceded reserve at end of year	2,762,344		2,542,526		2,164,037
Gross reserves at end of year	$	17,011,223	$	15,390,888	$	13,784,430
Net change in premiums and losses occurring in prior years:
Increase in estimates for claims occurring in prior years (3)	$	(54,511)	$	(863)	$	(627)
Retrospective premium adjustments for claims occurring in prior years (4)	18,106		7,510		16,807
Net premium and reserve development on prior years	$	(36,405)	$	6,647	$	16,180

_______________________________________

(1)The cumulative effect adjustment resulting from changes in accounting principals relates to the allowance for expected credit losses on reinsurance recoverables that commenced on January 1, 2020 due to the adoption of ASU 2016-13. See Note 1 for more details.

(2)Claims occurring during the current year are net of loss reserve discounts of $35 million, $21 million and $10 million in 2022, 2021, and 2020, respectively.

(3)The change in estimates for claims occurring in prior years is net of loss reserve discount. On an undiscounted basis, the estimates for claims occurring in prior years increased by $16 million in 2022, decreased by $19 million in 2021, and decreased by $21 million in 2020, respectively.

(4)For certain retrospectively rated insurance polices and reinsurance agreements, changes in loss and loss expenses for prior years are offset by additional or return premiums.

The COVID-19 global pandemic has impacted, and may further impact, the Company’s results through its effect on claim frequency and severity. Loss cost trends have been impacted and may be further impacted by COVID-19-related claims in certain lines of business. Losses incurred from COVID-19-related claims have been offset, to a certain extent, by lower claim frequency in certain lines of our businesses; however, as the economy and legal systems have reopened, the benefit of lower claim frequency has partially abated. The ultimate net impact of COVID-19 on the Company remains uncertain. New variants of the COVID-19 virus continue to create risks with respect to loss costs and the potential for renewed impact of the other effects of COVID-19 associated with economic conditions, inflation, and social distancing and work from home rules.

Most of the COVID-19-related claims reported to the Company to date involve certain short-tailed lines of business, including contingency and event cancellation, business interruption, and film production delay. The Company has also received COVID-19-related claims for longer-tailed casualty lines of business such as workers’ compensation and other liability; however, the estimated incurred loss impact for these reported claims are not material at this time. Given the continuing uncertainty regarding the pandemic's pervasiveness, the future impact that the pandemic may have on claim frequency and severity remains uncertain at this time.

The Company has estimated the potential COVID-19 impact to its contingency and event cancellation, workers’ compensation, and other lines of business under a number of possible scenarios; however, due to COVID-19’s continued

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evolving impact, there remains uncertainty around the Company’s COVID-19 reserves. In addition, should the pandemic continue or worsen as a result of new COVID-19 variants or otherwise, governments in the jurisdictions where we operate may impose restrictions, including lockdowns, as well as renew their efforts to expand policy coverage terms beyond the policy’s intended coverage. Accordingly, losses arising from these actions, and the other factors described above, could exceed the Company’s reserves established for those related policies.

As of December 31, 2022, the Company had recognized losses for COVID-19-related claims activity, net of reinsurance, of approximately $341 million, of which $290 million relates to the Insurance segment and $51 million relates to the Reinsurance & Monoline Excess segment. Such $341 million of COVID-19-related losses included $337 million of reported losses and $4 million of IBNR. For the year ended December 31, 2022, the Company recognized current accident year losses for COVID-19-related claims activity, net of reinsurance, of approximately $5 million, of which $3 million relates to the Insurance segment and $2 million relates to the Reinsurance & Monoline Excess segment.

Unfavorable prior year development (net of additional and return premiums) was $36 million in 2022.

Insurance – Reserves for the Insurance segment developed unfavorably by $40 million in 2022 (net of additional and return premiums). The unfavorable development in the segment primarily related to COVID-19 losses at two businesses. These businesses wrote policies providing coverage for event cancellation and film production delay which were heavily impacted by losses directly caused by the COVID-19 pandemic. Most of this COVID-19 related unfavorable development emerged during the third quarter as a result of settlements of claims at values higher than our expectations. However, the Company believes that as a result of these settlements the remaining level of uncertainty around the ultimate value of its known COVID-19 claims has been significantly reduced.

The unfavorable development mentioned above also includes favorable prior year development for the Insurance segment primarily attributable to the 2020 and 2021 accident years and unfavorable development on the 2015 through 2019 accident years. The favorable development on the 2020 and 2021 accident years was concentrated in certain casualty lines of business including general liability, professional liability, and workers’ compensation. The Company experienced lower reported claim frequency in these lines of business during 2020 and 2021 relative to historical averages, and continued to experience lower reported incurred losses relative to our expectations for these accident years as they developed during 2022. These trends began in 2020 and we believe were caused by the impacts of the COVID-19 pandemic, including for example, lockdowns, reduced driving/traffic and increased work from home. Due to the ongoing uncertainty regarding the ultimate impacts of the pandemic on accident years 2020 and 2021 incurred losses, the Company has been cautious in reacting to these lower trends in setting and updating its loss ratio estimates for these years. As these accident years have continued to mature, the Company has continued to recognize some of the favorable reported experience in its ultimate loss estimates made during 2022.

The unfavorable development on the 2015 through 2019 accident years was concentrated in the general liability and professional liability, including medical professional, lines of business, as well as commercial auto liability. The development was driven by a larger than expected number of large losses reported. The Company believes social inflation is contributing to an increase in the frequency of large losses for these accident years. Social inflation can include higher settlement demands from plaintiffs, use of tactics such as litigation funding by the plaintiffs’ bar, negative public sentiment towards large businesses and corporations, and erosion of tort reforms, among others.

Reinsurance & Monoline Excess – Reserves for the Reinsurance & Monoline Excess segment developed favorably by $4 million in 2022 (net of additional and return premiums). The overall favorable development for the segment was driven mainly by favorable development in excess workers compensation, substantially offset by unfavorable development in the professional liability and non-proportional reinsurance assumed liability lines of business. The favorable excess workers’ compensation development was spread across most prior accident years, including 2012 and prior years, and was driven by a review of the Company’s claim reporting patterns as well as a number of favorable claim settlements relative to expectations. The unfavorable professional liability and non-proportional reinsurance assumed liability development was concentrated mainly in accident years 2016 through 2018 and was associated primarily with our U.S. assumed reinsurance business and related to accounts insuring construction projects and professional liability exposures.

Favorable prior year development (net of additional and return premiums) was $7 million in 2021.

Insurance – Reserves for the Insurance segment developed favorably by $20 million in 2021 (net of additional and return premiums). The overall favorable development in 2021 was attributable to favorable development on the 2020 accident year, partially offset by adverse development on the 2016 through 2019 accident years.

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The favorable development on the 2020 accident year was largely concentrated in the commercial auto liability and other liability lines of business, including commercial multi-peril liability. During 2020 the Company achieved larger rate increases in these lines of business than were contemplated in its budget and in its initial loss ratio selections. The Company also experienced significantly lower reported claim frequency in these lines in 2020 relative to historical averages, and lower reported incurred losses relative to its expectations. We believe that the lower claim frequency and lower reported incurred losses were caused by the impacts of the COVID-19 pandemic, for example, lockdowns, reduced driving and traffic, work from home, and court closures. However, due to the uncertainty regarding the ultimate impacts of the pandemic on accident year 2020 incurred losses, the Company elected not to react to these lower reported trends during 2020. As more information became available and the 2020 accident year continued to mature, during 2021 the Company started to recognize favorable accident year 2020 development in response to the continuing favorable reported loss experience relative to its expectations.

The adverse development on the 2016 through 2019 accident years is concentrated largely in the other liability line of business, including commercial multi-peril liability, but is also seen to a lesser extent in commercial auto liability. The adverse development for these accident years is driven by a higher than expected number of large losses reported, and particularly impacted the directors and officers liability, lawyers professional liability, and excess and surplus lines casualty classes of business. We also believe that increased social inflation is contributing to the increased number of large losses, for example, higher jury awards on cases which go to trial, and the corresponding higher demands from plaintiffs and higher values required to reach settlement on cases which do not go to trial.

Reinsurance & Monoline Excess – Reserves for the Reinsurance & Monoline Excess segment developed unfavorably by $13 million in 2021. The unfavorable development in the segment was driven by the non-proportional reinsurance assumed liability and other liability lines of business, related primarily to accident years 2017 through 2019, and was partially offset by favorable development in excess workers’ compensation business which was spread across many prior accident years. The unfavorable non-proportional reinsurance assumed liability and other liability development was associated with our U.S. and U.K. assumed reinsurance business, and related primarily to accounts insuring construction projects and professional liability exposures.

Favorable prior year development (net of additional and return premiums) was $16 million in 2020.

Insurance - Reserves for the Insurance segment developed favorably by $24 million in 2020 (net of additional and return premiums). Continuing the pattern seen in recent years, the overall favorable development in 2020 resulted from more significant favorable development on workers’ compensation business, which was partially offset by unfavorable development on professional liability, including excess professional liability

For workers’ compensation, the favorable development was spread across almost all prior accident years, including prior to 2011, but was most significant in accident years 2016 through 2019. The favorable workers’ compensation development reflects a continuation of the benign loss cost trends experienced during recent years, particularly the favorable claim frequency trends (i.e., number of reported claims per unit of exposure). The long term trend of declining workers’ compensation frequency can be attributable to improved workplace safety. Loss severity trends were also aided by our continued investment in claims handling initiatives such as medical case management services and vendor savings through usage of preferred provider networks and pharmacy benefit managers. Reported workers’ compensation losses in 2020 continued to be below our expectations at most of our businesses, and were below the assumptions underlying our initial loss ratio picks and our previous reserve estimates for most prior accident years.

For professional liability business, unfavorable development was driven mainly by large losses reported in the directors and officers (“D&O”), lawyers professional and excess hospital professional liability lines of business. For these lines of business, we continue to see an increase in the number of large losses reported and a lengthening of the reporting “tail” beyond historical levels. We believe a contributing cause is rising social inflation in the form of, for example, higher jury awards on cases that go to trial, and the corresponding higher demands from plaintiffs and higher values required to reach settlement on cases that do not go to trial. The unfavorable development for professional liability affected mainly accident years 2016 through 2018.

Reinsurance & Monoline Excess – Reserves for the Reinsurance & Monoline Excess segment developed unfavorably by $8 million in 2020. The unfavorable development in the segment was driven by non-proportional assumed liability business written in both the U.S. and U.K., and was partially offset by favorable development on excess workers’ compensation business. The unfavorable non-proportional assumed liability development was concentrated in accident years 2014 through 2018, and related primarily to accounts insuring construction projects and professional liability exposures.

Environmental and Asbestos — To date, known environmental and asbestos claims have not had a material impact on the Company’s operations, because its subsidiaries generally did not insure large industrial companies that are subject to

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significant environmental or asbestos exposures prior to 1986 when an absolute exclusion was incorporated into standard policy language.

The Company’s net reserves for losses and loss expenses relating to asbestos and environmental claims on policies written before adoption of the absolute exclusion was $20 million at both December 31, 2022 and 2021. The estimation of these liabilities is subject to significantly greater than normal variation and uncertainty because it is difficult to make an actuarial estimate of these liabilities due to the absence of a generally accepted actuarial methodology for these exposures and the potential effect of significant unresolved legal matters, including coverage issues, as well as the cost of litigating the legal issues. Additionally, the determination of ultimate damages and the final allocation of such damages to financially responsible parties are highly uncertain.

Discounting — The Company discounts its liabilities for certain workers’ compensation reserves. The amount of workers’ compensation reserves that were discounted was $1,267 million and $1,387 million at December 31, 2022 and 2021, respectively. The aggregate net discount for those reserves, after reflecting the effects of ceded reinsurance, was $416 million and $452 million at December 31, 2022 and 2021, respectively. At December 31, 2022, discount rates by year ranged from 0.7% to 6.5%, with a weighted average discount rate of 3.4%.

Substantially all discounted workers’ compensation reserves (97% of total discounted reserves at December 31, 2022) are excess workers’ compensation reserves. In order to properly match loss expenses with income earned on investment securities supporting the liabilities, reserves for excess workers’ compensation business are discounted using risk-free discount rates determined by reference to the U.S. Treasury yield curve. These rates are determined annually based on the weighted average rate for the period. Once established, no adjustments are made to the discount rate for that period, and any increases or decreases in loss reserves in subsequent years are discounted at the same rate, without regard to when any such adjustments are recognized. The expected loss and loss expense payout patterns subject to discounting are derived from the Company’s loss payout experience.

The Company also discounts reserves for certain other long-duration workers’ compensation reserves (representing approximately 3% of total discounted reserves at December 31, 2022), including reserves for quota share reinsurance and reserves related to losses regarding occupational lung disease. These reserves are discounted at statutory rates prescribed or permitted by the Department of Insurance of the State of Delaware.

100

(15)    Premiums and Reinsurance Related Information

The Company reinsures a portion of its insurance exposures in order to reduce its net liability on individual risks and catastrophe losses. Reinsurance coverage and retentions vary depending on the line of business, location of the risk and nature of loss. The Company’s reinsurance purchases include the following: property reinsurance treaties that reduce exposure to large individual property losses and catastrophe events; casualty reinsurance treaties that reduce its exposure to large individual casualty losses, workers’ compensation catastrophe losses and casualty losses involving multiple claimants or insureds; and facultative reinsurance that reduces exposure on individual policies or risks for losses that exceed treaty reinsurance capacity. Depending on the business, the Company purchases specific additional reinsurance to supplement the above programs.

The following is a summary of reinsurance financial information:

(In thousands)	2022		2021		2020
Written premiums:
Direct	$	10,695,138	$	9,531,050	$	7,874,050
Assumed	1,213,914		1,169,084		973,597
Ceded	(1,904,982)		(1,837,267)		(1,585,210)
Total net written premiums	$	10,004,070	$	8,862,867	$	7,262,437
Earned premiums:
Direct	$	10,217,891	$	8,825,568	$	7,489,470
Assumed	1,226,801		1,085,804		941,321
Ceded	(1,883,263)		(1,805,341)		(1,499,948)
Total net earned premiums	$	9,561,429	$	8,106,031	$	6,930,843
Ceded losses and loss expenses incurred	$	1,269,338	$	1,236,960	$	955,630
Ceded commission earned	$	477,437	$	449,739	$	358,253

The following table presents the rollforward of the allowance for expected credit losses for premiums and fees receivable for the years ended December 31, 2022 and 2021:

(In thousands)	2022		2021
Allowance for expected credit losses, beginning of period	$	25,218	$	22,883
Change in allowance for expected credit losses	5,442		2,335
Allowance for expected credit losses, end of period	$	30,660	$	25,218

Estimated amounts due from reinsurers are reported net of an allowance for expected credit losses of $8.1 million, $7.7 million and $7.8 million as of December 31, 2022, 2021 and 2020, respectively. The following table presents the rollforward of the allowance for expected credit losses associated with due from reinsurers for the years ended December 31, 2022 and 2021:

(In thousands)	2022		2021
Allowance for expected credit losses, beginning of period	$	7,713	$	7,801
Change in allowance for expected credit losses	351		(88)
Allowance for expected credit losses, end of period	$	8,064	$	7,713

101

     The following table presents the amounts due from reinsurers as of December 31, 2022:

(In thousands)
Lloyd’s of London	$	347,927
Berkshire Hathaway	332,034
Munich Re	306,530
Partner Re	275,410
Hannover Re Group	191,264
Swiss Re	189,591
Lifson Re	180,724
Renaissance Re	163,973
Everest Re	155,847
Liberty Mutual	96,402
Axis Capital	81,538
Korean Re	59,884
Fairfax Financial	55,228
Axa Insurance	46,058
Arch Capital Group	45,663
Sompo Holdings Group	36,157
Helvetia Holdings Group	30,823
Markel Corp Group	30,216
Validus Holdings Group	24,548
TOA Re	22,945
Other reinsurers less than $20,000	342,275
Subtotal	3,015,037
Residual market pools (1)	180,757
Allowance for expected credit losses	(8,064)
Total	$	3,187,730

(1)Many states require licensed insurers that provide workers' compensation insurance to participate in programs that provide workers' compensation to employers that cannot procure coverage from an insurer on a voluntary basis. Insurers can fulfill this residual market obligation by participating in pools where results are shared by the participating companies. The Company acts as a servicing carrier for workers' compensation pools in certain states. As a servicing carrier, the Company writes residual market business directly and then cedes 100% of this business to the respective pool. As a servicing carrier, the Company receives fee income for its services. The Company does not retain underwriting risk, and credit risk is limited as ceded balances are jointly shared by all the pool members.

102

(16)    Indebtedness

Indebtedness consisted of the following as of December 31, 2022 (the difference between the face value and the carrying value is unamortized discount and debt issuance costs):

				Carrying Value
(In thousands)	Interest Rate	Face Value		2022		2021
Senior notes and other debt due on:
January 1, 2022 (1)	8.700%	$	—	$	—	$	76,503
March 15, 2022 (1)	4.625%	—		—		349,923
February 15, 2037	6.250%	250,000		248,446		248,336
August 1, 2044	4.750%	350,000		346,020		345,836
May 12, 2050	4.000%	470,000		490,721		491,478
March 30, 2052	3.550%	400,000		394,213		394,015
September 30, 2061	3.150%	350,000		342,945		342,761
Subsidiary debt and other (2)	Various	6,478		6,478		10,564
Total senior notes and other debt		$	1,826,478	$	1,828,823	$	2,259,416
Subordinated debentures due on:
March 30, 2058	5.700%	$	185,000	$	179,328	$	179,166
December 30, 2059	5.100%	300,000		291,179		290,941
September 30, 2060	4.250%	250,000		244,523		244,378
March 30, 2061	4.125%	300,000		293,341		293,167
Total subordinated debentures		$	1,035,000	$	1,008,371	$	1,007,652

________________

(1) In the first quarter of 2022, the Company repaid at maturity its $77 million aggregate principal amount of 8.7% senior notes in January and its $350 million aggregate principal amount of 4.625% senior notes in March.

(2) Subsidiary debt is due as follows: $5 million in 2024 and $2 million in 2025, partially offset by the unamortized cost of $0.8 million due to entering into the $300 million senior unsecured revolving credit facility.

On April 1, 2022, the Company entered into a senior unsecured revolving credit facility that provides for revolving, unsecured borrowings up to an aggregate of $300 million with a $50 million sublimit for letters of credit. The Company may increase the amount available under the facility to a maximum of $500 million subject to obtaining lender commitments for the increase and other customary conditions. Borrowings under the facility may be used for working capital and other general corporate purposes. All borrowings under the facility must be repaid by April 1, 2027, except that letters of credit outstanding on that date may remain outstanding until April 1, 2028 (or such later date approved by all lenders). Our ability to utilize the facility is conditioned on the satisfaction of representations, warranties and covenants that are customary for facilities of this type. As of December 31, 2022, there were no borrowings outstanding under the facility.

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(17)    Income Taxes

Income tax expense (benefit) consists of:

(In thousands)	Current Expense		Deferred (Benefit) Expense		Total
December 31, 2022
Domestic	$	295,849	$	(27,544)	$	268,305
Foreign	42,890		23,532		66,422
Total expense (benefit)	$	338,739	$	(4,012)	$	334,727
December 31, 2021
Domestic	$	239,090	$	2,752	$	241,842
Foreign	—		10,048		10,048
Total expense	$	239,090	$	12,800	$	251,890
December 31, 2020
Domestic	$	162,305	$	17	$	162,322
Foreign	23,375		(13,880)		9,495
Total expense (benefit)	$	185,680	$	(13,863)	$	171,817

        

Income before income taxes from domestic operations was $1,240 million, $1,224 million and $831 million for the years ended December 31, 2022, 2021 and 2020, respectively. Income (loss) before income taxes from foreign operations was $480 million, $59 million and ($126) million for the years ended December 31, 2022, 2021 and 2020, respectively.

A reconciliation of the income tax expense and the amounts computed by applying the Federal and foreign income tax rate of 21% for 2022, 2021 and 2020 to pre-tax income are as follows:

(In thousands)	2022		2021		2020
Computed “expected” tax expense	$	361,133	$	269,410	$	148,008
Tax-exempt investment income	(10,815)		(11,380)		(12,770)
Change in valuation allowance	(28,064)		2,974		46,238
Impact of foreign tax rates	(453)		(2,368)		6,753
State and local taxes	8,976		4,230		2,561
Other, net	3,950		(10,976)		(18,973)
Total expense	$	334,727	$	251,890	$	171,817

104

At December 31, 2022 and 2021, the tax effects of differences that give rise to significant portions of the deferred tax asset and deferred tax liability are as follows:

(In thousands)	2022		2021
Deferred tax asset:
Loss reserve discounting	$	192,181	$	162,636
Unearned premiums	180,326		163,143
Unrealized investment losses	228,456		—
Net operating losses & foreign tax credits	58,182		88,502
Other-than-temporary impairments	5,935		5,176
Employee compensation plans	63,313		61,301
Other	72,536		54,269
Gross deferred tax asset	800,929		535,027
Less valuation allowance	(47,166)		(75,230)
Deferred tax asset	753,763		459,797
Deferred tax liability:
Amortization of intangibles	13,973		12,787
Loss reserve discounting - transition rule	14,843		19,796
Deferred policy acquisition costs	157,055		137,893
Unrealized investment gains	—		36,850
Property, furniture and equipment	45,887		43,186
Investment funds	125,525		101,999
Other	67,479		67,331
Deferred tax liability	424,762		419,842
Net deferred tax asset	$	329,001	$	39,955

The Company had a current tax net receivable of $5 million and $3 million at December 31, 2022 and 2021, respectively. At December 31, 2022, the Company had foreign net operating loss carryforwards of $4 million that begin to expire in 2027 and an additional $225 million that have no expiration date. At December 31, 2022, the Company had a valuation allowance of $47 million as compared to $75 million at December 31, 2021. The Company has provided a valuation allowance against the utilization of foreign tax credits and the future net operating loss carryforward benefits of certain foreign operations. The statute of limitations for the Company’s U.S. Federal income tax returns has closed for all years through December 31, 2018.

The realization of the deferred tax asset is dependent upon the Company’s ability to generate sufficient taxable income in future periods. Based on historical results and the prospects for future current operations, management anticipates that it is more likely than not that future taxable income will be sufficient for the realization of this asset.

The Tax Cuts and Jobs Act of 2017 (the "Tax Act") provided for a reduction of the U.S. corporate income tax rate from 35% to 21% effective January 1, 2018. The U.S. tax law requires insurance reserves to be discounted for tax purposes. The Tax Act modified this computation. The IRS issued revised discount factors to be applied to the 2017 reserves, which increased the beginning of year 2018 deferred tax asset for loss reserve discounting. Under the related transition rule, a deferred tax liability was established which will be included in taxable income over the eight year period that began in 2018.

The Company has not provided U.S. deferred income taxes on the undistributed earnings of approximately $169 million of its non-U.S. subsidiaries since these earnings are intended to be permanently reinvested in the non-U.S. subsidiaries. In the future, if such earnings were distributed the Company projects that the incremental tax, if any, will be immaterial.

105

(18)    Dividends from Subsidiaries and Statutory Financial Information

The Company’s insurance subsidiaries are restricted by law as to the amount of dividends they may pay without the approval of regulatory authorities. The Company’s lead insurer, Berkley Insurance Company ("BIC"), directly or indirectly owns all of the Company’s other insurance companies. During 2023, the maximum amount of dividends that can be paid by BIC without such approval is approximately $1.2 billion.

BIC’s combined net income and statutory capital and surplus, as determined in accordance with statutory accounting practices ("SAP"), are as follows:

(In thousands)	2022		2021		2020
Net income	$	1,358,813	$	1,040,342	$	771,990
Statutory capital and surplus	$	8,330,587	$	6,817,535	$	6,188,121

    The significant variances between SAP and GAAP are that for statutory purposes bonds are carried at amortized cost, unrealized gains and losses on equity securities are recorded in surplus, acquisition costs are charged to income as incurred, deferred Federal income taxes are subject to limitations, excess and assumed workers’ compensation reserves are discounted at different discount rates and certain assets designated as “non-admitted assets” are charged against surplus. The Commissioner of Insurance of the State of Delaware has allowed BIC to recognize a non-tabular discount on certain workers' compensation loss reserves, which is a permitted practice that differs from SAP. The effect of using this permitted practice was an increase to BIC’s statutory capital and surplus by $171 million at December 31, 2022.

The National Association of Insurance Commissioners (“NAIC”) has risk-based capital (“RBC”) requirements that require insurance companies to calculate and report information under a risk-based formula which measures statutory capital and surplus needs based on a regulatory definition of risk in a company’s mix of products and its balance sheet. This guidance is used to calculate two capital measurements: Total Adjusted Capital and RBC Authorized Control Level. Total Adjusted Capital is equal to the Company’s statutory capital and surplus excluding capital and surplus derived from the use of permitted practices that differ from statutory accounting practices. RBC Authorized Control Level is the capital level used by regulatory authorities to determine whether remedial action is required. Generally, no remedial action is required if Total Adjusted Capital is 200% or more of the RBC Authorized Control Level. At December 31, 2022, BIC’s Total Adjusted Capital of $8.2 billion was 408% of its RBC Authorized Control Level.

See Note 4, Investments in Fixed Maturity Securities, for a description of assets held on deposit as security.

106

(19)    Common Stockholders’ Equity

The weighted average number of shares used in the computation of net income per share was as follows:

(In thousands)	2022	2021	2020
Basic	276,852	277,430	280,386
Diluted	279,461	279,749	283,145

Treasury shares have been excluded from average outstanding shares from the date of acquisition. The weighted average number of basic shares outstanding includes the impact of 11,416,856 common shares held in a grantor trust. The common shares held in the grantor trust are for delivery upon settlement of vested but mandatorily deferred restricted stock units ("RSUs"). Shares held by the grantor trust do not affect diluted shares outstanding since shares deliverable under vested RSUs were already included in diluted shares outstanding. The difference in calculating basic and diluted net income per share is attributable entirely to the dilutive effect of stock-based compensation plans. Changes in shares of common stock outstanding, net of treasury shares, are presented below. Shares of common stock issued and outstanding do not include shares related to unissued restricted stock units (including shares held in the grantor trust).

	2022	2021	2020
Balance, beginning of year	265,170,882	266,737,725	275,117,861
Shares issued	745,612	1,062,086	1,164,816
Shares repurchased	(1,370,394)	(2,628,929)	(9,544,952)
Balance, end of year	264,546,100	265,170,882	266,737,725

The amount of dividends paid is dependent upon factors such as the receipt of dividends from our subsidiaries, our results of operations, cash flow, financial condition and business needs, the capital and surplus requirements of our subsidiaries, and applicable insurance regulations that limit the amount of dividends that may be paid by our regulated insurance subsidiaries.

(20)    Fair Value of Financial Instruments

The following table presents the carrying amounts and estimated fair values of the Company’s financial instruments as of December 31, 2022 and 2021:

	2022				2021
(In thousands)	Carrying Value		Fair Value		Carrying Value		Fair Value
Assets:
Fixed maturity securities	$	17,587,349	$	17,591,626	$	16,602,673	$	16,614,118
Equity securities	1,185,894		1,185,894		941,243		941,243
Arbitrage trading account	944,230		944,230		1,179,606		1,179,606
Loans receivable	193,002		187,981		115,172		116,534
Cash and cash equivalents	1,449,346		1,449,346		1,568,843		1,568,843
Trading accounts receivable from brokers and clearing organizations	233,863		233,863		—		—
Due from broker	3,609		3,609		20,448		20,448
Liabilities:
Due to broker	—		—		53,636		53,636
Trading account securities sold but not yet purchased	—		—		1,169		1,169
Senior notes and other debt	1,828,823		1,439,188		2,259,416		2,526,630
Subordinated debentures	1,008,371		805,600		1,007,652		1,095,600

The estimated fair values of the Company’s fixed maturity securities, equity securities available for sale and arbitrage trading account securities are based on various valuation techniques that rely on fair value measurements as described in Note 13 above. The fair value of loans receivable is estimated by using current institutional purchaser yield requirements for loans with similar credit characteristics, which is considered a Level 2 input. The fair value of the senior notes and other debt and the subordinated debentures is based on spreads for similar securities, which is considered a Level 2 input.

107

(21)    Commitments, Litigation and Contingent Liabilities

In the ordinary course of business, the Company is subject to disputes, litigation and arbitration arising from its insurance and reinsurance businesses. These matters are generally related to insurance and reinsurance claims and are considered in the establishment of loss and loss expense reserves. In addition, the Company may also become involved in legal actions which seek extra-contractual damages, punitive damages or penalties, including claims alleging bad faith in handling of insurance claims. The Company expects its ultimate liability with respect to such matters will not be material to its financial condition. However, adverse outcomes on such matters are possible, from time to time, and could be material to the Company’s results of operations in any particular financial reporting period.

    At December 31, 2022, the Company had commitments to invest up to $402 million and $146 million in certain investment funds and real estate construction projects, respectively.

(22) Leases

    Lessees are required to recognize a right-of-use asset and a lease liability for leases with terms of more than 12 months on the balance sheet. All leases disclosed within this note are classified as operating leases. Recognized right-of-use asset and lease liability are reported within other assets and other liabilities, respectively, in the consolidated balance sheet. Lease expense is reported in other operating costs and expenses in the consolidated statement of income and accounted for on a straight-line basis over the lease term.

    To determine the discount rate used to calculate present value of future minimum lease payments, the Company uses its incremental borrowing rate during the lease commencement period in line with the respective lease duration. In certain cases, the Company has the option to renew the lease. Lease renewal future payments are included in the present value of the future minimum lease payments when the Company determines it is reasonably certain to renew.

    The main leases entered into by the Company are for office space used by the Company’s operating units across the world. Additionally, the Company, to a lesser extent, has equipment leases mainly for office equipment. Further information relating to operating lease expense and other operating lease information is as follows:

	For the Year Ended December 31,
(In thousands)	2022		2021
Leases:
Lease cost	$	43,383	$	44,051
Cash paid for amounts included in the measurement of lease liabilities reported in operating cash flows	$	43,871	$	45,592
Right-of-use assets obtained in exchange for new lease liabilities	$	28,075	$	38,929

	As of December 31,
($ in thousands)	2022			2021
Right-of-use assets	$	169,271		$	172,180
Lease liabilities	$	204,088		$	208,729
Weighted-average remaining lease term	7.1 years			7.2 years
Weighted-average discount rate	4.40		%	4.83		%

108

Contractual maturities of the Company’s future minimum lease payments are as follows:

(In thousands)	December 31, 2022
Contractual Maturities:
2023	$	47,024
2024	41,788
2025	32,928
2026	25,973
2027	16,472
Thereafter	68,912
Total undiscounted future minimum lease payments	233,097
Less: Discount impact	29,009
Total lease liability	$	204,088

(23)    Stock Incentive Plan

Pursuant to the Company's stock incentive plan, the Company may issue restricted stock units ("RSUs") to employees of the Company and its subsidiaries. The RSUs generally vest three to five years from the award date and are subject to other vesting and forfeiture provisions contained in the award agreement. The following table summarizes RSU information for the three years ended December 31, 2022:

	2022	2021	2020
RSUs granted and unvested at beginning of period:	5,144,519	5,706,504	6,186,390
Granted	1,024,960	1,272,990	1,443,680
Vested	(1,258,680)	(1,523,960)	(1,667,382)
Canceled	(292,373)	(311,016)	(256,184)
RSUs granted and unvested at end of period:	4,618,426	5,144,519	5,706,504

Upon vesting, shares of the Company’s common stock equal to the number of vested RSUs are issued or deferred to a later date, depending on the terms of the specific award agreement. As of December 31, 2022, 11,403,456 RSUs had been deferred. RSUs that have not yet vested and vested RSUs that have been deferred are not considered to be issued and outstanding shares.

The fair value of RSUs at the date of grant are recorded as unearned compensation, a component of stockholders’ equity, and expensed over the vesting period. Following is a summary of changes in unearned compensation for the three years ended December 31, 2022:

(In thousands)	2022		2021		2020
Unearned compensation at beginning of year	$	135,535	$	132,310	$	128,390
RSUs granted, net of cancellations	60,628		56,711		54,270
RSUs expensed	(47,611)		(46,441)		(47,108)
RSUs forfeitures	(6,492)		(7,045)		(3,242)
Unearned compensation at end of year	$	142,060	$	135,535	$	132,310

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(24)    Compensation Plans

The Company and its subsidiaries have profit sharing plans in which substantially all employees participate. The plans provide for minimum annual contributions of 5% of eligible compensation; contributions above the minimum are discretionary and vary with each participating businesses's profitability. Employees become eligible to participate in the plan on the first day of the calendar quarter following the first full calendar quarter after the employee's date of hire provided the employee has completed 250 hours of service during the calendar quarter. The plans provide that 40% of the contributions vest immediately and that the remaining 60% vest at varying percentages based upon years of service. Profit sharing expense was $62 million, $50 million and $48 million in 2022, 2021 and 2020, respectively.

The Company has a long-term incentive compensation plan ("LTIP") that provides for compensation to key executives based on the growth in the Company's book value per share over a five year period.

The following table summarizes the outstanding LTIP awards as of December 31, 2022:

	Units Outstanding	Maximum Value		Inception to date earned through December 31, 2022 on outstanding units
2018 grant	188,500	$	18,850,000	$	18,850,000
2019 grant	205,000	20,500,000		17,164,589
2020 grant	216,000	21,600,000		13,943,707
2021 grant	221,750	22,175,000		11,426,223
2022 grant	241,000	24,100,000		6,232,260

The following table summarizes the LTIP expense for each of the three years ended December 31, 2022:

(In thousands)	2022		2021		2020
2015 grant	$	—	$	—	$	(168)
2016 grant	—		(117)		3,176
2017 grant	—		6,012		2,914
2018 grant	4,299		5,503		2,776
2019 grant	6,904		5,309		2,490
2020 grant	6,653		5,065		2,276
2021 grant	6,574		4,906		—
2022 grant	6,232		—		—
Total	$	30,662	$	26,678	$	13,464

(25)    Supplemental Financial Statement Data

Other operating costs and expenses consist of the following:

(In thousands)	2022		2021		2020
Amortization of deferred policy acquisition costs	$	1,038,903	$	961,628	$	904,955
Insurance operating expenses	1,635,000		1,345,099		1,206,058
Insurance service expenses	96,419		86,003		85,724
Net foreign currency (gains) losses	(50,930)		(25,725)		363
Debt extinguishment costs	—		11,521		8,440
Other costs and expenses	242,113		220,744		184,852
Total	$	2,961,505	$	2,599,270	$	2,390,392

(26)    Industry Segments

The Company’s reportable segments include the following two business segments, plus a corporate segment:

•Insurance - predominantly commercial insurance business, including excess and surplus lines, admitted lines and specialty personal lines throughout the United States, as well as insurance business in Asia, Australia, Canada, Continental Europe, Mexico, Scandinavia, South America and the United Kingdom.

110

•Reinsurance & Monoline Excess - reinsurance business on a facultative and treaty basis, primarily in the United States, United Kingdom, Continental Europe, Australia, the Asia-Pacific region and South Africa, as well as operations that solely retain risk on an excess basis.

The accounting policies of the segments are the same as those described in the summary of significant accounting policies. Income tax expense and benefits are calculated based upon the Company’s overall effective tax rate.

Summary financial information about the Company’s reporting segments is presented in the following table. Income before income taxes by segment includes allocated investment income. Identifiable assets by segment are those assets used in or allocated to the operation of each segment.

	Revenues
(In thousands)	Earned Premiums (1)		Investment Income		Other		Total (2)		Pre-Tax Income (Loss)		Net Income (Loss) to Common Stockholders
Year ended December 31, 2022
Insurance	$	8,369,062	$	550,084	$	33,347	$	8,952,493	$	1,455,658	$	1,173,425
Reinsurance & Monoline Excess	1,192,367		194,272		—		1,386,639		316,527		251,386
Corporate, other and eliminations (3)	—		34,829		590,141		624,970		(254,901)		(203,476)
Net investment gains	—		—		202,397		202,397		202,397		159,727
Consolidated	$	9,561,429	$	779,185	$	825,885	$	11,166,499	$	1,719,681	$	1,381,062
Year ended December 31, 2021
Insurance	$	7,077,708	$	468,821	$	32,063	$	7,578,592	$	1,219,798	$	976,184
Reinsurance & Monoline Excess	1,028,323		175,324		—		1,203,647		270,563		215,439
Corporate, other and eliminations (3)	—		27,473		555,122		582,595		(298,088)		(242,055)
Net investment gains	—		—		90,632		90,632		90,632		72,922
Consolidated	$	8,106,031	$	671,618	$	677,817	$	9,455,466	$	1,282,905	$	1,022,490
Year ended December 31, 2020
Insurance	$	6,067,669	$	375,554	$	35,611	$	6,478,834	$	668,012	$	487,125
Reinsurance & Monoline Excess	863,174		146,029		—		1,009,203		205,587		164,655
Corporate, other and eliminations (3)	—		62,238		445,650		507,888		(271,797)		(214,291)
Net investment gains	—		—		103,000		103,000		103,000		93,181
Consolidated	$	6,930,843	$	583,821	$	584,261	$	8,098,925	$	704,802	$	530,670

Identifiable Assets
(In thousands)	December 31,
	2022		2021
Insurance	$	27,009,652	$	24,414,305
Reinsurance & Monoline Excess	5,195,752		4,916,894
Corporate, other and eliminations (3)	1,655,695		2,755,215
Consolidated	$	33,861,099	$	32,086,414

_______________________________________

(1) Certain amounts included in earned premiums of each segment are related to inter-segment transactions.

(2) Revenues for Insurance includes $1,029 million, $873 million, and $692 million in 2022, 2021, and 2020, respectively, from foreign countries. Revenues for Reinsurance & Monoline Excess includes $412 million, $380 million, and $292 million in 2022, 2021 and 2020, respectively, from foreign countries.

(3) Corporate, other and eliminations represent corporate revenues and expenses and other items that are not allocated to

111

business segments.

Net premiums earned by major line of business were as follows:

(In thousands)	2022		2021		2020
Insurance
Other liability	$	3,206,846	$	2,673,098	$	2,269,458
Short-tail lines	1,630,371		1,389,068		1,247,908
Workers' compensation	1,197,811		1,131,283		1,127,487
Commercial automobile	1,208,241		990,945		794,171
Professional liability	1,125,793		893,314		628,645
Total Insurance	8,369,062		7,077,708		6,067,669
Reinsurance & Monoline Excess
Casualty	764,793		643,193		521,559
Monoline Excess	217,017		201,187		171,522
Property	210,557		183,943		170,093
Total Reinsurance & Monoline Excess	1,192,367		1,028,323		863,174
Total	$	9,561,429	$	8,106,031	$	6,930,843

(27)    Subsequent Event

On January 3, 2023, the Company's Board of Directors declared a special cash dividend on its common stock of 50 cents per share that was paid on January 24, 2023 to stockholders of record at the close of business on January 13, 2023.

112

ITEM 9. CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND FINANCIAL DISCLOSURE

None.

ITEM 9A. CONTROLS AND PROCEDURES

The Company's management, including its Chief Executive Officer and Chief Financial Officer, have conducted an evaluation of the effectiveness of the Company's disclosure controls and procedures pursuant to Exchange Act Rule 13a-15(b) as of the end of the period covered by this annual report. Based on that evaluation, the Chief Executive Officer and Chief Financial Officer concluded that the Company has in place effective controls and procedures designed to ensure that information required to be disclosed by the Company in the reports it files or submits under the Exchange Act and the rules thereunder, is recorded, processed, summarized and reported within the time periods specified in the Commission's rules and forms.

During the quarter ended December 31, 2022, there have been no changes in our internal controls over financial reporting that have materially affected, or are reasonably likely to materially affect, our internal controls over financial reporting.

Management's Report On 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 (1) pertain to the maintenance of records that, in reasonable detail, accurately and fairly reflect the transactions and dispositions of the assets of the company; (2) provide reasonable assurance that transactions are recorded as necessary to permit preparation of financial statements in accordance with GAAP, and that receipts and expenditures of the company are being made only in accordance with authorizations of management and directors of the company; and (3) 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.

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.

Our management is responsible for establishing and maintaining adequate internal control over financial reporting. Under the supervision and with the participation of our management, including our principal executive officer and principal financial officer, we conducted an evaluation of the effectiveness of our internal control over financial reporting based on the framework in Internal Control - Integrated Framework (2013) issued by the Committee of Sponsoring Organizations of Treadway Commission. Based on our evaluation under the framework in Internal Control - Integrated Framework, our management concluded that our internal control over financial reporting was effective as of December 31, 2022.

113

Report of Independent Registered Public Accounting Firm

To the Stockholders and the Board of Directors

W. R. Berkley Corporation:

Opinion on Internal Control Over Financial Reporting

We have audited W. R. Berkley Corporation and subsidiaries’ (the Company) internal control over financial reporting as of December 31, 2022, based on criteria established in Internal Control - Integrated Framework (2013) issued by the Committee of Sponsoring Organizations of the Treadway Commission. In our opinion, the Company maintained, in all material respects, effective internal control over financial reporting as of December 31, 2022, based on criteria established in Internal Control - Integrated Framework (2013) issued by the Committee of Sponsoring Organizations of the Treadway Commission.

We also have 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 2021, the related consolidated statements of income, comprehensive income, stockholders’ equity, and cash flows for each of the years in the three-year period ended December 31, 2022, and the related notes and financial statement schedules II to VI (collectively, the consolidated financial statements), and our report dated February 24, 2023 expressed an unqualified opinion on those consolidated financial statements.

Basis for Opinion

The Company’s management is responsible for maintaining effective internal control over financial reporting and for its assessment of the effectiveness of internal control over financial reporting, included in the accompanying Management's Report On Internal Control Over Financial Reporting. Our responsibility is to express an opinion on the Company’s internal control over financial reporting based on our audit. 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 audit in accordance with the standards of the PCAOB. Those standards require that we plan and perform the audit to obtain reasonable assurance about whether effective internal control over financial reporting was maintained in all material respects. 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 audit also included performing such other procedures as we considered necessary in the circumstances. We believe that our audit provides a reasonable basis for our opinion.

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 (1) pertain to the maintenance of records that, in reasonable detail, accurately and fairly reflect the transactions and dispositions of the assets of the company; (2) 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 (3) 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.

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.

/S/ KPMG LLP

New York, New York

February 24, 2023

114

ITEM 9B. OTHER INFORMATION

    None.

ITEM 9C. DISCLOSURE REGARDING FOREIGN JURISDICTIONS THAT PREVENT INSPECTIONS

Not applicable.

115

PART III

ITEM 10. DIRECTORS, EXECUTIVE OFFICERS AND CORPORATE GOVERNANCE

Reference is made to the registrant's definitive proxy statement, which will be filed with the Securities and Exchange Commission within 120 days after December 31, 2022, and which is incorporated herein by reference.

ITEM 11. EXECUTIVE COMPENSATION

Reference is made to the registrant's definitive proxy statement, which will be filed with the Securities and Exchange Commission within 120 days after December 31, 2022, and which is incorporated herein by reference.

ITEM 12. SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND MANAGEMENT AND RELATED STOCKHOLDER MATTERS

(a) Security ownership of certain beneficial owners

Reference is made to the registrant's definitive proxy statement, which will be filed with the Securities and Exchange Commission within 120 days after December 31, 2022, and which is incorporated herein by reference.

(b) Security ownership of management

Reference is made to the registrant's definitive proxy statement, which will be filed with the Securities and Exchange Commission within 120 days after December 31, 2022, and which is incorporated herein by reference.

(c) Changes in control

Reference is made to the registrant's definitive proxy statement, which will be filed with the Securities and Exchange Commission within 120 days after December 31, 2022, and which is incorporated herein by reference.

(d) Equity compensation plan information

Reference is made to the registrant's definitive proxy statement, which will be filed with the Securities and Exchange Commission within 120 days after December 31, 2022, and which is incorporated herein by reference.

ITEM 13. CERTAIN RELATIONSHIPS AND RELATED TRANSACTIONS, AND DIRECTOR INDEPENDENCE

Reference is made to the registrant's definitive proxy statement, which will be filed with the Securities and Exchange Commission within 120 days after December 31, 2022, and which is incorporated herein by reference.

ITEM 14. PRINCIPAL ACCOUNTING FEES AND SERVICES

Our independent registered public accounting firm is KPMG LLP, New York, NY, Auditor Firm ID: 185.

Reference is made to the registrant's definitive proxy statement, which will be filed with the Securities and Exchange Commission within 120 days after December 31, 2022, and which is incorporated herein by reference.

116

PART IV

ITEM 15. EXHIBITS AND FINANCIAL STATEMENT SCHEDULES

(a) Index to Financial Statements

The schedules to the consolidated financial statements listed below should be read in conjunction with the consolidated financial statements included in this Annual Report on Form 10-K. Financial statement schedules not included in this Annual Report on Form 10-K have been omitted because they are not applicable or required information is shown in the financial statements or notes thereto.

Index to Financial Statement Schedules	Page
Schedule II — Condensed Financial Information of Registrant	124
Schedule III — Supplementary Insurance Information	128
Schedule IV — Reinsurance	129
Schedule V — Valuation and Qualifying Accounts	130
Schedule VI — Supplementary Information Concerning Property — Casualty Insurance Operations	131

117

(b) Exhibits

EXHIBITS

Number
(3.1)	The Company’s Restated Certificate of Incorporation, as amended through May 10, 2004 (incorporated by reference to Exhibits 3.1 and 3.2 of the Company’s Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on August 6, 2003).
(3.2)	Amendment, dated May 11, 2004, to the Company’s Restated Certificate of Incorporation, as amended (incorporated by reference to Exhibit 3.2 of the Company’s Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on August 5, 2004).
(3.3)	Amendment, dated May 16, 2006, to the Company’s Restated Certificate of Incorporation, as amended (incorporated by reference to Exhibit 3.2 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on May 17, 2006).
(3.4)	Amendment, dated June 12, 2020, to the Company’s Restated Certificate of Incorporation, as amended (incorporated by reference to Exhibit 3.1 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on June 16, 2020).
(3.5)	Amendment, dated June 15, 2022, to the Company’s Restated Certificate of Incorporation, as amended (incorporated by reference to Exhibit 3.1 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on June 16, 2022).
(3.6)	Amended and Restated By-Laws (incorporated by reference to Exhibit 3 (ii) of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on August 5, 2015).
(4.1)	Description of Registrant’s Securities Registered Pursuant to Section 12 of the Securities Exchange Act of 1934.
(4.2)	Indenture, dated as of February 14, 2003, between the Company and The Bank of New York, as Trustee (incorporated by reference to Exhibit 4.1 of the Company’s Annual Report on Form 10-K (File No. 1-15202) filed with the Commission on March 31, 2003).
(4.3)	Fifth Supplemental Indenture, dated as of February 9, 2007, between the Company and The Bank of New York, as Trustee, relating to $250,000,000 principal amount of the Company’s 6.250% Senior Notes due 2037, including the form of the Notes as Exhibit A (incorporated by reference to Exhibit 4.7 of the Company’s Annual Report on Form 10-K (File No. 1-15202) filed with the Commission on March 1, 2007).
(4.4)	Ninth Supplemental Indenture, dated as of August 6, 2014, between the Company and The Bank of New York Mellon, as Trustee, relating to $350,000,000 principal amount of the Company’s 4.750% Senior Notes due 2044, including the form of the Notes as Exhibit A (incorporated by reference to Exhibit 4.2 of the Company's Current Report on Form 8-K (File No. 1-15202) filed with the Commission on August 6, 2014).
(4.5)	Indenture, dated as of May 12, 2020, between the Company and The Bank of New York Mellon, as Trustee (incorporated by reference to Exhibit 4.1 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on May 12, 2020).
(4.6)	First Supplemental Indenture, dated as of May 12, 2020, between the Company and The Bank of New York Mellon, as Trustee, relating to $470,000,000 principal amount of the Company’s 4.000% Senior Notes due 2050, including the form of the Notes as Exhibit A (incorporated by reference to Exhibit 4.2 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on May 12, 2020).
(4.7)	Second Supplemental Indenture, dated as of March 16, 2021, between the Company and The Bank of New York Mellon, as Trustee, relating to $400,000,000 principal amount of the Company’s 3.550% Senior Notes due 2052, including the form of the Notes as Exhibit A (incorporated by reference to Exhibit 4.2 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on March 16, 2021).
(4.8)	Third Supplemental Indenture, dated as of September 15, 2021, between the Company and The Bank of New York Mellon, as Trustee, relating to $350,000,000 principal amount of the Company’s 3.150% Senior Notes due 2061, including the form of the Notes as Exhibit A (incorporated by reference to Exhibit 4.2 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on September 15, 2021).
(4.9)	Subordinated Indenture, dated as of March 26, 2018, between the Company and The Bank of New York Mellon, as Trustee (incorporated by reference to Exhibit 4.1 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on March 26, 2018).

118

(4.10)	First Supplemental Indenture, dated as of March 26, 2018, between the Company and The Bank of New York Mellon, as Trustee, relating to $185,000,000 principal amount of the Company’s 5.700% Subordinated Debentures due 2058, including the form of the Securities as Exhibit A (incorporated by reference to Exhibit 4.2 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on March 26, 2018).
(4.11)	Second Supplemental Indenture, dated as of December 16, 2019, between the Company and the Bank of New York Mellon, as Trustee, relating to $300,000,000 principal amount of the Company's 5.100% Subordinated Debentures due 2059, including the form of the Securities as Exhibit A (incorporated by reference to Exhibit 4.2 of the Company's Current Report on Form 8-K (File No. 1-15202) filed with the Commission on December 16, 2019).
(4.12)	Third Supplemental Indenture, dated as of September 21, 2020, between the Company and The Bank of New York Mellon, as Trustee, relating to $250,000,000 principal amount of the Company’s 4.250% Subordinated Debentures due 2060, including the form of the Securities as Exhibit A (incorporated by reference to Exhibit 4.2 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on September 21, 2020).
(4.13)	Fourth Supplemental Indenture, dated as of February 10, 2021, between the Company and The Bank of New York Mellon, as Trustee, relating to $300,000,000 principal amount of the Company’s 4.125% Subordinated Debentures due 2061, including the form of the Securities as Exhibit A (incorporated by reference to Exhibit 4.2 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on February 10, 2021).
(4.14)	The instruments defining the rights of holders of the other long term debt securities of the Company are omitted pursuant to Section (b)(4)(iii)(A) of Item 601 of Regulation S-K. The Company agrees to furnish supplementally copies of these instruments to the Commission upon request.
(10.1)	Credit Agreement, dated as of April 1, 2022, by and among W. R. Berkley Corporation, as borrower, each lender from time to time party thereto, Credit Suisse AG, New York Branch, JPMorgan Chase Bank, N.A. and Morgan Stanley Senior Funding, Inc. as Syndication Agents, and Bank of America, N.A., as Administrative Agent, Several L/C Agent and Fronting L/C Issuer (incorporated by reference to Exhibit 10.1 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on April 4, 2022).
(10.2)	W. R. Berkley Corporation 2018 Stock Incentive Plan (incorporated by reference to Annex B of the Company’s 2018 Proxy Statement (File No. 1-15202) filed with the Commission on April 19, 2018).
(10.3)	Form of Restricted Stock Unit Agreement for grant of April 4, 2003 (incorporated by reference to Exhibit 10.2 of the Company’s Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on August 6, 2003).
(10.4)	Form of Restricted Stock Unit Agreement under the W. R. Berkley Corporation 2003 Stock Incentive Plan (incorporated by reference to Exhibit 10.2 of the Company’s Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on May 3, 2005).
(10.5)	Form of Restricted Stock Unit Agreement under the W. R. Berkley Corporation 2003 Stock Incentive Plan (incorporated by reference to Exhibit 10.1 of the Company’s Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on August 6, 2010).
(10.6)	Form of Restricted Stock Unit Agreement under the W. R. Berkley Corporation 2012 Stock Incentive Plan (incorporated by reference to Exhibit 10.1 of the Company's Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on November 8, 2012).
(10.7)	Form of 2014 Performance-Based Restricted Stock Unit Agreement under the W. R. Berkley Corporation 2012 Stock Incentive Plan (incorporated by reference to Exhibit 10.1 of the Company's Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on November 7, 2014).
(10.8)	Form of 2015 Performance-Based Restricted Stock Unit Agreement under the W. R. Berkley Corporation 2012 Stock Incentive Plan (incorporated by reference to Exhibit 10.1 of the Company's Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on November 9, 2015).
(10.9)	Form of 2017 Performance-Based Restricted Stock Unit Agreement Under the W. R. Berkley Corporation 2012 Stock Incentive Plan (incorporated by reference to Exhibit 10.1 of the Company’s Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on November 8, 2017).

119

(10.10)	Form of 2018 Performance-Based Restricted Stock Unit Agreement Under the W. R. Berkley Corporation 2018 Stock Incentive Plan (incorporated by reference to Exhibit 10.1 of the Company’s Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on November 7, 2018).
(10.11)	Form of 2020 Performance-Based Restricted Stock Unit Agreement Under the W. R. Berkley Corporation 2018 Stock Incentive Plan (incorporated by reference to Exhibit 10.1 of the Company’s Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on November 5, 2020).
(10.12)	W. R. Berkley Corporation Deferred Compensation Plan for Officers as amended and restated effective December 1, 2021 (incorporated by reference to Exhibit 10.1 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on November 12, 2021).
(10.13)	W. R. Berkley Corporation Deferred Compensation Plan for Directors as amended and restated effective December 1, 2021 (incorporated by reference to Exhibit 10.2 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on November 12, 2021).
(10.14)	W. R. Berkley Corporation Amended and Restated Annual Incentive Compensation Plan (incorporated by reference to Exhibit 10.1 of the Company's Current Report on Form 8-K (File No. 1-15202) filed with the Commission on February 25, 2019).
(10.15)	W. R. Berkley Corporation 2019 Long-Term Incentive Plan (incorporated by reference to Exhibit 10.2 of the Company's current Report on Form 8-K (File No. 1-15202) filed with the Commission on February 25, 2019).
(10.16)	Form of 2019 Performance Unit Award Agreement under the W. R. Berkley Corporation 2019 Long-Term Incentive Plan (incorporated by reference to Exhibit 10.3 of the Company’s Current Report on Form 8-K (File No. 1-15202) filed with the Commission on February 25, 2019).
(10.17)	Form of 2020 Performance Unit Award Agreement under the W. R. Berkley Corporation 2019 Long-Term Incentive Plan (incorporated by reference to Exhibit 10.1 of the Company’s Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on August 3, 2020).
(10.18)	Form of 2021 Performance Unit Award Agreement under the W. R. Berkley Corporation 2019 Long-Term Incentive Plan (incorporated by reference to Exhibit 10.1 of the Company’s Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on November 4, 2021).
(10.19)	Form of 2022 Performance Unit Award Agreement under the W. R. Berkley Corporation 2019 Long-Term Incentive Plan (incorporated by reference to Exhibit 10.1 of the Company’s Quarterly Report on Form 10-Q (File No. 1-15202) filed with the Commission on May 3, 2022).
(10.20)	W. R. Berkley Corporation 2009 Directors Stock Plan (incorporated by reference to Annex B of the Company’s 2021 Proxy Statement (File No. 1-15202) filed with the Commission on April 27, 2021).
(10.21)	Supplemental Benefits Agreement between William R. Berkley and the Company as amended and restated as of December 21, 2011 (incorporated by reference to Exhibit 10.14 of the Company's Annual Report on Form 10-K (File No. 1-15202) filed with the Commission on February 28, 2012).
(14)	Code of Ethics for Senior Financial Officers (incorporated by reference to Exhibit 14 of the Company’s Annual Report on Form 10-K (File No. 1-15202) filed with the Commission on March 14, 2005).
(21)	List of the Company’s subsidiaries.
(23)	Consent of Independent Registered Public Accounting Firm.
(31.1)	Certification of the Chief Executive Officer pursuant to Rule 13a-14(a)/ 15d-14(a).
(31.2)	Certification of the Chief Financial Officer pursuant to Rule 13a-14(a)/ 15d-14(a).
(32.1)	Certification of the Chief Executive Officer and Chief Financial Officer pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002.

120

ITEM 16. FORM 10-K Summary

None.

121

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.

    W. R. BERKLEY CORPORATION

By	/s/ W. Robert Berkley, Jr.
	W. Robert Berkley, Jr.  President and Chief Executive Officer

February 24, 2023

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.

122

Signature	Title	Date
/s/ William R. Berkley	Executive Chairman	February 24, 2023
William R. Berkley	of the Board of Directors
/s/ W. Robert Berkley, Jr.	President	February 24, 2023
W. Robert Berkley, Jr.	Chief Executive Officer and Director
	(Principal executive officer)
/s/ Christopher L. Augostini	Director	February 24, 2023
Christopher L. Augostini
/s/ Ronald E. Blaylock	Director	February 24, 2023
Ronald E. Blaylock
	Director
Mark E. Brockbank
/s/ Mary C. Farrell	Director	February 24, 2023
Mary C. Farrell
/s/ María Luisa Ferré	Director	February 24, 2023
María Luisa Ferré
/s/ Daniel L. Mosley	Director	February 24, 2023
Daniel L. Mosley
/s/ Mark L. Shapiro	Director	February 24, 2023
Mark L. Shapiro
/s/ Jonathan Talisman	Director	February 24, 2023
Jonathan Talisman
/s/ Richard M. Baio	Executive Vice President	February 24, 2023
Richard M. Baio	and Chief Financial Officer
	(Principal financial officer and principal accounting officer)

123

Schedule II

W. R. Berkley Corporation

Condensed Financial Information of Registrant

Balance Sheets (Parent Company)

	December 31,
(In thousands)	2022		2021
Assets:
Cash and cash equivalents	$	103,522	$	684,037
Fixed maturity securities available for sale at fair value (cost $285,900 and $805,211 at December 31, 2022 and 2021, respectively)	275,511		806,074
Loans receivable (net of allowance for expected credit losses of $559 and $647 at December 31, 2022 and 2021, respectively)	109,793		93,397
Equity securities, at fair value (cost $3,430 in both 2022 and 2021)	3,430		3,430
Investment in subsidiaries	8,888,455		8,516,916
Current federal income taxes	34,452		23,424
Deferred federal income taxes	304,191		11,796
Property, furniture and equipment at cost, less accumulated depreciation	11,356		11,916
Other assets	39,741		43,793
Total assets	$	9,770,451	$	10,194,783
Liabilities and stockholders’ equity:
Liabilities:
Due to subsidiaries	$	53,029	$	138,376
Other liabilities	139,150		146,892
Subordinated debentures	1,008,371		1,007,652
Senior notes	1,821,569		2,248,852
Total liabilities	3,022,119		3,541,772
Stockholders’ equity:
Preferred stock	—		—
Common stock	105,803		105,803
Additional paid-in capital	997,534		981,104
Retained earnings (including accumulated undistributed net income of subsidiaries of $7,975,360 and $6,463,882 at December 31, 2022 and 2021, respectively)	10,161,005		9,015,135
Accumulated other comprehensive loss	(1,264,581)		(281,955)
Treasury stock, at cost	(3,251,429)		(3,167,076)
Total stockholders’ equity	6,748,332		6,653,011
Total liabilities and stockholders’ equity	$	9,770,451	$	10,194,783

________________

See Report of Independent Registered Public Accounting Firm and note to condensed financial information.

124

Schedule II, Continued

W. R. Berkley Corporation

Condensed Financial Information of Registrant, Continued

Statements of Income (Parent Company)

	Year Ended December 31,
(In thousands)	2022		2021		2020
Management fees and investment income including dividends from subsidiaries of $22,807, $520,251, and $617,424 for the years ended December 31, 2022, 2021 and 2020, respectively	$	32,585	$	548,512	$	654,485
Net investment gains	1,007		1,474		3,580
Other income	1,916		1,138		568
Total revenues	35,508		551,124		658,633
Operating costs and expense	192,175		214,995		166,892
Interest expense	129,633		144,837		145,417
(Loss) income before federal income taxes	(286,300)		191,292		346,324
Federal income taxes:
Federal income taxes provided by subsidiaries on a separate return basis	414,660		294,731		188,490
Federal income tax expense on a consolidated return basis	(258,776)		(226,900)		(139,679)
Net federal income tax expense	155,884		67,831		48,811
(Loss) income before undistributed equity in net income of subsidiaries	(130,416)		259,123		395,135
Equity in undistributed net income of subsidiaries	1,511,478		763,367		135,535
Net income	$	1,381,062	$	1,022,490	$	530,670

________________

See Report of Independent Registered Public Accounting Firm and note to condensed financial information.

125

Schedule II, Continued

W. R. Berkley Corporation

Condensed Financial Information of Registrant, Continued

Statements of Cash Flows (Parent Company)

	Year Ended December 31,
(In thousands)	2022		2021		2020
Cash flow (used in) from operating activities:
Net income	$	1,381,062	$	1,022,490	$	530,670
Adjustments to reconcile net income to net cash from operating activities:
Net investment gains	(1,007)		(1,474)		(3,580)
Depreciation and amortization	4,281		18,761		15,133
Equity in undistributed earnings of subsidiaries	(1,511,478)		(763,367)		(135,535)
Tax payments received from subsidiaries	321,682		328,851		165,495
Federal income taxes provided by subsidiaries on a separate return basis	(414,660)		(294,731)		(188,489)
Stock incentive plans	49,411		48,440		49,599
Change in:
Federal income taxes	(40,746)		(22,017)		32,069
Other assets	3,163		(33,319)		1,220
Other liabilities	87,100		(11,758)		3,964
Accrued investment income	890		755		836
Net cash (used in) from operating activities	(120,302)		292,631		471,382
Cash from (used in) investing activities:
Proceeds from sales of fixed maturity securities	543,549		402,046		414,802
Proceeds from maturities and prepayments of fixed maturity securities	83,134		654,134		258,413
Cost of purchases of fixed maturity securities	(109,289)		(1,071,823)		(747,713)
Change in loans receivable	(16,249)		(18,227)		(20,023)
Investments in and advances to subsidiaries, net	(171,062)		(1,411)		(100,704)
Change in balance due to security broker	(10,289)		10,487		(245)
Net additions to real estate, furniture & equipment	(432)		(1,496)		(81)
Other, net	368		95		103
Net cash from (used in) investing activities	319,730		(26,195)		(195,448)
Cash (used in) from financing activities:
Net proceeds from issuance of senior notes	(914)		1,029,579		736,609
Repayment and redemption of debt	(426,503)		(400,000)		(650,000)
Purchase of common treasury shares	(94,140)		(122,426)		(346,357)
Cash dividends to common stockholders	(235,192)		(355,736)		(84,147)
Other, net	(23,194)		(30,776)		(24,880)
Net cash (used in) from financing activities	(779,943)		120,641		(368,775)
Net (decrease) increase in cash and cash equivalents	(580,515)		387,077		(92,841)
Cash and cash equivalents at beginning of year	684,037		296,960		389,801
Cash and cash equivalents at end of year	$	103,522	$	684,037	$	296,960

________________

See Report of Independent Registered Public Accounting Firm and note to condensed financial information.

126

W. R. Berkley Corporation

Condensed Financial Information of Registrant, Continued

December 31, 2022

Note to Condensed Financial Information (Parent Company)

The accompanying condensed financial information should be read in conjunction with the notes to consolidated financial statements included elsewhere herein. Reclassifications have been made in the 2021 and 2020 financial statements as originally reported to conform them to the presentation of the 2022 financial statements.

The Company files a consolidated federal income tax return with the results of its domestic insurance subsidiaries included on a statutory basis. Under present Company policy, federal income taxes payable by subsidiary companies on a separate-return basis are paid to W. R. Berkley Corporation, and the Company pays the tax due on a consolidated return basis.

127

Schedule III

W. R. Berkley Corporation and Subsidiaries

Supplementary Insurance Information

December 31, 2022, 2021 and 2020

(In thousands)	Deferred Policy Acquisition Cost		Reserve for Losses and Loss Expenses		Unearned Premiums		Net Premiums Earned		Net Investment Income		Loss and Loss Expenses		Amortization of Deferred Policy Acquisition Cost		Other Operating Costs and Expenses		Net Premiums Written
December 31, 2022
Insurance	$	651,257	$	13,786,112	$	4,779,214	$	8,369,062	$	550,084	$	5,130,909	$	935,469	$	1,430,456	$	8,784,146
Reinsurance & Monoline Excess	112,229		3,225,111		518,440		1,192,367		194,272		730,841		103,434		235,836		1,219,924
Corporate, other and eliminations	—		—		—		—		34,829		—		—		256,310		—
Total	$	763,486	$	17,011,223	$	5,297,654	$	9,561,429	$	779,185	$	5,861,750	$	1,038,903	$	1,922,602	$	10,004,070
December 31, 2021
Insurance	$	566,718	$	12,379,395	$	4,348,171	$	7,077,708	$	468,821	$	4,326,403	$	830,199	$	1,202,192	$	7,743,814
Reinsurance & Monoline Excess	109,427		3,011,493		498,989		1,028,323		175,324		627,557		131,429		174,098		1,119,053
Corporate, other and eliminations	—		—		—		—		27,473		—		—		261,352		—
Total	$	676,145	$	15,390,888	$	4,847,160	$	8,106,031	$	671,618	$	4,953,960	$	961,628	$	1,637,642	$	8,862,867
December 31, 2020
Insurance	$	467,871	$	10,977,674	$	3,660,758	$	6,067,669	$	375,554	$	3,939,759	$	734,062	$	1,137,002	$	6,347,101
Reinsurance & Monoline Excess	88,297		2,806,756		412,433		863,174		146,029		528,947		170,893		103,775		915,336
Corporate, other and eliminations	—		—		—		—		62,238		—		—		244,660		—
Total	$	556,168	$	13,784,430	$	4,073,191	$	6,930,843	$	583,821	$	4,468,706	$	904,955	$	1,485,437	$	7,262,437

__________________________

See Report of Independent Registered Public Accounting Firm.

128

Schedule IV

W. R. Berkley Corporation and Subsidiaries

Reinsurance

Years ended December 31, 2022, 2021 and 2020

	Premiums Written
(In thousands, other than percentages)	Direct Amount		Ceded to Other Companies		Assumed from Other Companies		Net Amount		Percentage of Amount Assumed to Net
Year ended December 31, 2022
Insurance	$	10,363,730	$	1,799,639	$	220,055	$	8,784,146	2.5	%
Reinsurance & Monoline Excess	331,408		105,343		993,859		1,219,924		81.5	%
Total	$	10,695,138	$	1,904,982	$	1,213,914	$	10,004,070	12.1	%
Year ended December 31, 2021
Insurance	$	9,220,683	$	1,727,854	$	250,985	$	7,743,814	3.2	%
Reinsurance & Monoline Excess	310,367		109,413		918,099		1,119,053		82.0	%
Total	$	9,531,050	$	1,837,267	$	1,169,084	$	8,862,867	13.2	%
Year ended December 31, 2020
Insurance	$	7,625,981	$	1,490,395	$	211,515	$	6,347,101	3.3	%
Reinsurance & Monoline Excess	248,069		94,815		762,082		915,336		83.3	%
Total	$	7,874,050	$	1,585,210	$	973,597	$	7,262,437	13.4	%

___________________________

See Report of Independent Registered Public Accounting Firm.

129

Schedule V

W. R. Berkley Corporation and Subsidiaries

Valuation and Qualifying Accounts

Years ended December 31, 2022, 2021 and 2020

(In thousands)	Opening Allowance Balance		Cumulative Effect Adjustment - CECL		Additions- Charged to Expense		Deduction- Amounts Written Off		Ending Allowance Balance
Year ended December 31, 2022
Premiums, fees and other receivables	$	30,860	$	—	$	13,734	$	(7,663)	$	36,931
Due from reinsurers	7,713		—		352		(1)		8,064
Deferred federal and foreign income taxes	75,230		—		1,046		(29,110)		47,166
Fixed maturity securities	22,625		—		15,152		(311)		37,466
Loan loss reserves	1,718		—		73		—		1,791
Total	$	138,146	$	—	$	30,357	$	(37,085)	$	131,418
Year ended December 31, 2021
Premiums, fees and other receivables	$	27,855	$	—	$	10,807	$	(7,802)	$	30,860
Due from reinsurers	7,801		—		334		(422)		7,713
Deferred federal and foreign income taxes	79,488		—		6,011		(10,269)		75,230
Fixed maturity securities	2,580		—		21,013		(968)		22,625
Loan loss reserves	5,437		—		—		(3,719)		1,718
Total	$	123,161	$	—	$	38,165	$	(23,180)	$	138,146
Year ended December 31, 2020
Premiums, fees and other receivables	$	26,546	$	1,270	$	6,783	$	(6,744)	$	27,855
Due from reinsurers	690		5,927		1,187		(3)		7,801
Deferred federal and foreign income taxes	33,250		—		46,756		(518)		79,488
Fixed maturity securities	—		35,714		16,909		(50,043)		2,580
Loan loss reserves	2,146		(357)		3,648		—		5,437
Total	$	62,632	$	42,554	$	75,283	$	(57,308)	$	123,161

_______________________

See Report of Independent Registered Public Accounting Firm.

130

Schedule VI

W. R. Berkley Corporation and Subsidiaries

Supplementary Information Concerning Property-Casualty Insurance Operations

Years Ended December 31, 2022, 2021 and 2020

(In thousands)	2022		2021		2020
Deferred policy acquisition costs	$	763,486	$	676,145	$	556,168
Reserves for losses and loss expenses	17,011,223		15,390,888		13,784,430
Unearned premiums	5,297,654		4,847,160		4,073,191
Net premiums earned	9,561,429		8,106,031		6,930,843
Net investment income	779,185		671,618		583,821
Losses and loss expenses incurred:
Current year	5,774,713		4,921,191		4,432,937
Prior years	54,511		863		627
Loss reserve discount accretion	32,526		31,906		35,142
Amortization of deferred policy acquisition costs	1,038,903		961,628		904,955
Paid losses and loss expenses	4,347,910		3,665,694		3,598,649
Net premiums written	10,004,070		8,862,867		7,262,437

___________________

See Report of Independent Registered Public Accounting Firm.

131

EX-4.1

DESCRIPTION OF REGISTRANT’S SECURITIES

REGISTERED PURSUANT TO SECTION 12 OF THE

SECURITIES EXCHANGE ACT OF 1934

As of February 15, 2023, W. R. Berkley Corporation (the “Company” or “we”) has five classes of securities registered under Section 12 of the Securities Exchange Act of 1934, as amended (the “Exchange Act”): (1) our common stock, par value $0.20 per share (“Common Stock”); (2) our 5.700% Subordinated Debentures due 2058 (the “2058 Debentures”); (3) our 5.100% Subordinated Debentures due 2059 (the “2059 Debentures”); (4) our 4.250% Subordinated Debentures due 2060 (the “2060 Debentures”); and (5) our 4.125% Subordinated Debentures due 2061 (the “2061 Debentures,” and together with the 2058 Debentures, the 2059 Debentures and the 2060 Debentures, the “Debentures”).

Description of Common Stock

The following description of our Common Stock is a summary and does not purport to be complete.It is subject to and qualified in its entirety by reference to our Restated Certificate of Incorporation, as amended to date (the “Certificate of Incorporation”), and our Amended and Restated By-Laws (the “Bylaws”), each of which is incorporated by reference as an exhibit to the Annual Report on Form 10-K of which this Exhibit 4.1 is a part.We encourage you to read our Certificate of Incorporation, our Bylaws and the applicable provisions of the Delaware General Corporation Law, for additional information.

Authorized and Outstanding Common Stock

Pursuant to the Certificate of Incorporation, our authorized capital stock consists of 1,250,000,000 shares of Common Stock and 5,000,000 shares of preferred stock, par value $0.10 per share (“Preferred Stock”).As of February 15, 2023, 263,446,321 shares of Common Stock were outstanding.All shares of Common Stock currently issued and outstanding are fully paid and non-assessable.No shares of Preferred Stock are currently outstanding.

Voting Rights

Each holder of Common Stock is entitled to one vote for each share of Common Stock and does not have any right to cumulate votes in the election of directors.

Dividends

Subject to any preferential rights of any Preferred Stock created by our board of directors, each outstanding share of Common Stock is entitled to such dividends as our board of directors may declare from time to time out of funds that we can legally use to pay dividends.

Liquidation Rights

In the event of liquidation, dissolution or winding-up of the Company, holders of Common Stock will be entitled to receive on a pro-rata basis any assets remaining after provision for payment of creditors and after payment of any liquidation preferences to holders of Preferred Stock, if any.

Listing

Our Common Stock is listed on the New York Stock Exchange under the symbol “WRB.”

Description of the Debentures

The following description of our Debentures is a summary and does not purport to be complete.

The description of our 2058 Debentures, our 2059 Debentures, our 2060 Debentures and our 2061 Debentures is qualified in its entirety by reference to the Subordinated Indenture, dated as of March 26, 2018, between the Company and The Bank of New York Mellon (“BNY”), as trustee, as supplemented in the case of the 2058 Debentures by the First Supplemental Indenture, dated as of March 26, 2018, as supplemented in the case of the 2059 Debentures by the Second Supplemental Indenture, dated as of December 16, 2019, as supplemented in the case of the 2060 Debentures by the Third Supplemental Indenture, dated as of September 20, 2020, and as supplemented in the case of the 2061 Debentures by the Fourth Supplemental Indenture, dated as of February 10, 2021 (as so supplemented, the “Indenture”).

The 2058 Debentures, 2059 Debentures, 2060 Debentures, and 2061 Debentures are traded on the New York Stock Exchange under the symbols “WRB-PE,” “WRB-PF,” “WRB-PG” and “WRB-PH,” respectively.

General

The following is a description of certain of the specific terms of each class of the Debentures.

The Debentures were initially issued in the following aggregate principal amounts:$185,000,000 (2058 Debentures), $300,000,000 (2059 Debentures), $250,000,000 (2060 Debentures) and $300,000,000 (2061 Debentures).

The Debentures are unsecured obligations of the Company and rank in right of payment and upon liquidation junior to all our existing and future senior indebtedness and are pari passu with each other and any other future Indebtedness Ranking on a Parity with the Debentures (as defined below).The Debentures are structurally subordinated to all liabilities of our subsidiaries.The Debentures do not limit us or our subsidiaries’ ability to incur additional debt, including debt that ranks senior in right of payment and upon our liquidation to the Debentures.

The maturity dates of the Debentures are as follows: March 30, 2058 (2058 Debentures), December 30, 2059 (2059 Debentures), September 30, 2060 (2060 Debentures) and March 30, 2061 (2061 Debentures).

The Debentures were issued in a form of one or more fully registered global securities, without coupons, in denominations of $25 and multiples of $25 in excess thereof.

The Debentures are not redeemable at the option of the holder prior to maturity and will not benefit from any sinking fund.

Definitions

“Indebtedness Ranking on a Parity with the Debentures” means the (a) Debentures and (b) Indebtedness, whether outstanding on the date of the first issuance of the Debentures or thereafter created, assumed or incurred, which specifically by its terms ranks equally with and not prior to the Debentures in right of payment upon our dissolution, winding-up, liquidation, reorganization or similar events. The securing of any Indebtedness, otherwise constituting Indebtedness Ranking on a Parity with the Debentures,

2

shall not be deemed to prevent such Indebtedness from constituting Indebtedness Ranking on a Parity with the Debentures.

“Indebtedness” means (a) any obligation of, or any obligation guaranteed by, us for which we are responsible or liable as obligor or otherwise including principal, premium and interest (whether accruing before or after filing of any petition in bankruptcy or any similar proceedings by or against us and whether or not allowed as a claim in bankruptcy or similar proceedings) for (i) indebtedness for money borrowed, (ii) indebtedness evidenced by securities, bonds, debentures, notes or other similar written instruments, (iii) any deferred obligation for the payment of the purchase price or conditional sale obligation of property or assets acquired other than in the ordinary course of business, (iv) all obligations for the reimbursement of any letter of credit, banker’s acceptance, security purchase facility or similar credit transaction, (v) all obligations under “keep-well” agreements required by insurance regulators or (vi) any obligation referred to in (i) through (v) above of other persons secured by any lien on any property or asset of the Company and (b) all indebtedness for obligations to make payment in respect of derivative products such as interest and foreign exchange rate contracts, commodity contracts (including future or options contracts) swap agreements, cap agreements, repurchase and reverse repurchase agreements and similar arrangements, whether outstanding on the first issuance of the debentures or thereafter created, assumed or incurred.

“Indebtedness Ranking Junior to the Debentures” means any Indebtedness, whether outstanding on the date of the first issuance of the Debentures or thereafter created, assumed or incurred, which specifically by its terms ranks junior to and not equally with or prior to the Debentures (and any Indebtedness Ranking on a Parity with the Debentures) in right of payment upon our dissolution, winding-up, liquidation, reorganization, or similar events. The securing of any Indebtedness, otherwise constituting Indebtedness Ranking Junior to the Debentures, shall not be deemed to prevent such Indebtedness from constituting Indebtedness Ranking Junior to the Debentures.

Interest and Principal

The 2058 Debentures bear interest at an annual rate of 5.700%, the 2059 Debentures bear interest at an annual rate of 5.100%, the 2060 Debentures bear interest at an annual rate of 4.250% and the 2061 Debentures bear interest at an annual rate of 4.125%.

We will pay interest on the 2058 Debentures, the 2059 Debentures, the 2060 Debentures and the 2061 Debentures quarterly in arrears on March 30, June 30, September 30 and December 30 of each year, subject to our right to defer the payment of interest on such class of Debentures, on one or more occasions, for up to five consecutive years.We will make interest payments on the 2058 Debentures, 2059 Debentures, 2060 Debentures and 2061 Debentures to the holders of record at the close of business on March 15, June 15, September 15 or December 15, as the case may be, immediately preceding such March 30, June 30, September 30 or December 30, whether or not a business day.However, interest that we pay on the maturity date or redemption date will be payable to the person to whom the principal will be payable.

If we have exercised our right to defer interest payments on any class of Debentures, we generally may not make payments on or redeem or purchase any shares of our capital stock or any of our Debentures or guarantees that rank equally with or junior to such class of Debentures upon our liquidation, dissolution or winding up, subject to certain limited exceptions.

Optional Interest Deferral

With respect to each class of Debentures, so long as no event of default has occurred and is continuing, we may, on one or more occasions, defer interest payments on such class of Debentures for one or more optional deferral periods of up to five consecutive years without giving rise to an event of default under the terms of such class of Debentures. A deferral of interest payments cannot extend, however,

3

beyond the maturity date or the earlier acceleration or redemption of such class of Debentures. During an optional deferral period, interest will continue to accrue on such class of Debentures, and deferred interest payments will accrue additional interest at the same rate, compounded quarterly as of each interest payment date to the extent permitted by applicable law. During an optional deferral period, we will be prohibited from paying current interest on such class of Debentures until we have paid all accrued and unpaid deferred interest plus any accrued interest thereon. No interest otherwise due during an optional deferral period will be due and payable on such class of Debentures until the end of such optional deferral period except upon an acceleration or redemption of such class of Debentures during such deferral period.

At the end of five years following the commencement of an optional deferral period, we must pay all accrued and unpaid deferred interest, including compounded interest.If, at the end of any optional deferral period, we have paid all deferred interest due on such class of Debentures, including compounded interest, we can again defer interest payments on such class of Debentures as described above.

We will provide to the trustee and the holders of the applicable Debentures written notice of any deferral of interest at least one and not more than 60 business days prior to the applicable interest payment date.We have no present intention of exercising our right to defer payments of interest.

Payment Restrictions During a Deferral Period

With respect to each class of Debentures, after the commencement of an optional deferral period until we have paid all accrued and unpaid interest on such class of Debentures, we will not, and will not permit any of our subsidiaries to:

• declare or pay any dividends or distributions on, or redeem, purchase, acquire, or make a liquidation payment with respect to, any of our capital stock (which includes Common Stock and Preferred Stock);

• make any payment of principal, interest or premium on or repay, repurchase or redeem any Indebtedness Ranking on a Parity with the Debentures or Indebtedness Ranking Junior to the Debentures; or

• make any guarantee payments with respect to any guarantee by us of any securities of any of our subsidiaries if such guarantee ranks pari passu with or junior in right of payment to such class of Debentures;

other than:

• dividends or distributions in shares of, or options, warrants or rights to subscribe for or purchase shares of, our capital stock where the dividend stock or stock issuable upon exercise of such options, warrants or other rights is the same stock as that on which the dividend is being paid or ranks equally with or junior to such stock;

• any declaration of a dividend in connection with the implementation of a stockholder’s rights plan, or the issuance of capital stock under any such plan in the future, or the redemption or repurchase of any such rights pursuant thereto;

• as a result of a reclassification of any series or class of our capital stock or the exchange or conversion of one class or series of our capital stock for or into another class or series of our capital stock;

• the purchase of fractional interests in shares of our capital stock pursuant to an acquisition or the conversion or exchange provisions of such capital stock or the security being converted or exchanged;

• purchases or acquisitions of shares of our capital stock in connection with any employment contract, benefit plan or other similar arrangement with or for the benefit of directors, officers, agents, consultants or employees or our satisfaction of our obligations under any dividend reinvestment plan or our director, officer, agent, consultant or employee stock purchase plans;

4

• any exchange, redemption or conversion of any class or series of our capital stock, or the capital stock of one of our subsidiaries, for any other class or series of our capital stock, or of any class or series of our Indebtedness for any class or series of our capital stock;

• purchases or acquisitions of shares of our capital stock in connection with our satisfaction of our obligations under any contract or security entered into before commencement of the optional deferral period; and

• (i) payment of current or deferred interest on our Indebtedness Ranking on a Parity with the Debentures made pro rata to the amounts due on our Indebtedness Ranking on a Parity with the Debentures and the Debentures and (ii) payment of principal or current or deferred interest on our Indebtedness Ranking on a Parity with the Debentures that, if not made, would cause us to breach the terms of the instrument governing such Indebtedness Ranking on a Parity with the Debentures.

Optional Redemption

We may elect to redeem each class of the Debentures:

•in whole at any time or in part from time to time on or after May 30, 2023 in the case of the 2058 Debentures, December 30, 2024 in the case of the 2059 Debentures, September 30, 2025 in the case of the 2060 Debentures and March 30, 2026 in the case of the 2061 Debentures, at a redemption price equal to their principal amount plus accrued and unpaid interest to, but excluding, the date of redemption; provided that if such class of Debentures is not redeemed in whole, at least $25 million aggregate principal amount of such class of Debentures must remain outstanding after giving effect to such redemption;

•in whole, but not in part, at any time prior to May 30, 2023 in the case of the 2058 Debentures, December 30, 2024 in the case of the 2059 Debentures, September 30, 2025 in the case of the 2060 Debentures and March 30, 2026 in the case of the 2061 Debentures, within 90 days of the occurrence of a “tax event” (as defined below) at a redemption price equal to their principal amount plus accrued and unpaid interest to, but excluding, the date of redemption; or

•in whole, but not in part, at any time prior to May 30, 2023 in the case of the 2058 Debentures,December 30, 2024 in the case of the 2059 Debentures, September 30, 2025 in the case of the 2060 Debentures and March 30, 2026 in the case of the 2061 Debentures, within 90 days of the occurrence of a “rating agency event” at a redemption price equal to 102% of their principal amount plus any accrued and unpaid interest to, but excluding, the date of redemption.

Definitions

“Tax event” means that we will have received an opinion of counsel, rendered by a law firm of nationally recognized standing that is experienced in such matters, stating that, as a result of any:

•amendment to, or change in (including any promulgation, enactment, execution or modification of) the laws (or any regulations under those laws) of the United States or any political subdivision thereof or therein affecting taxation;

•official administrative pronouncement (including a private letter ruling, technical advice memorandum or similar pronouncement) or judicial decision or administrative action or other official pronouncement interpreting or applying the law or regulations enumerated in the preceding bullet point, by any court, governmental agency or regulatory authority; or

5

•threatened challenge asserted in connection with an audit of us, or a threatened challenge asserted in writing against any taxpayer that has raised capital through the issuance of securities that are substantially similar to such class of Debentures,

which amendment or change is enacted or effective or which pronouncement or decision is announced or which challenge is asserted against us or becomes publicly known on or after the original issue date of such class of Debentures, there is more than an insubstantial increase in the risk that interest accruable or payable by us on such class of Debentures is not, or will not be, deductible by us in whole or in part, for U.S. federal income tax purposes.

“Rating agency event” means that any nationally recognized statistical rating organization within the meaning of Section 3(a)(62) under the Exchange Act that then publishes a rating for us (a “rating agency”) amends, clarifies or changes the criteria it uses to assign equity credit to securities such as such class of Debentures, which amendment, clarification or change results in (a) the shortening of the length of time of such class of Debentures are assigned a particular level of equity credit by that rating agency as compared to the length of time they would have been assigned that level of equity credit by that rating agency or its predecessor on the initial issuance of such class of Debentures; or (b) the lowering of the equity credit (including up to a lesser amount) assigned to such class of Debentures by that rating agency compared to the equity credit assigned by that rating agency or its predecessor on the initial issuance of such class of Debentures.

Payment of Additional Amounts

We will make all payments of principal of, and premium, if any, interest and any other amounts on, or in respect of, the Debentures without withholding or deduction at source for, or on account of, any present or future taxes, fees, duties, assessments or governmental charges of whatever nature imposed or levied by or on behalf of a taxing jurisdiction or any political subdivision or taxing authority thereof or therein, unless such taxes, fees, duties, assessments or governmental charges are required to be withheld or deducted by:

•the laws, or any regulations or rulings promulgated thereunder, of a taxing jurisdiction or any political subdivision or taxing authority thereof or therein, or

•an official position regarding the application, administration, interpretation or enforcement of any such laws, regulations or rulings, including, without limitation, a holding by a court of competent jurisdiction or by a taxing authority in a taxing jurisdiction or any political subdivision thereof.

If a withholding or deduction at source is required, we will, subject to certain limitations and exceptions described below, pay to the holder of any such Debenture such additional amounts as may be necessary so that every net payment of principal, premium, if any, interest or any other amount made to such holder, after the withholding or deduction, will not be less than the amount provided for in such Debenture and the indenture to be then due and payable.

We will not be required to pay any additional amounts for or on account of:

(1) any tax, fee, duty, assessment or governmental charge of whatever nature which would not have been imposed but for the fact that such holder:

6

•was a resident, domiciliary or national of, or engaged in business or maintained a permanent establishment or was physically present in, the relevant taxing jurisdiction or any political subdivision thereof or otherwise had some connection with the relevant taxing jurisdiction other than by reason of the mere ownership of, or receipt of payment under, such Debenture;

•presented such Debenture for payment in the relevant taxing jurisdiction or any political subdivision thereof, unless such Debenture could not have been presented for payment elsewhere; or

•presented such Debenture for payment more than 30 days after the date on which the payment in respect of such Debenture became due and payable or provided for, whichever is later, except to the extent that the holder would have been entitled to such additional amounts if it had presented such Debenture for payment on any day within that 30-day period;

(2) any estate, inheritance, gift, sale, transfer, personal property or similar tax, assessment or other governmental charge;

(3) any tax, assessment or other governmental charge that is imposed or withheld by reason of the failure by the holder or the beneficial owner of such Debenture to comply with any reasonable request by us addressed to the holder within 90 days of such request:

•to provide information concerning the nationality, residence or identity of the holder or such beneficial owner, or

•to make any declaration or other similar claim or satisfy any information or reporting requirement, which is required or imposed by statute, treaty, regulation or administrative practice of the relevant taxing jurisdiction or any political subdivision thereof as a precondition to exemption from all or part of such tax, assessment or other governmental charge; or

(4) any combination of items (1), (2) and (3) above.

In addition, we will not pay additional amounts with respect to any payment of principal of, or premium, if any, interest or any other amounts on, any Debenture to any holder who is a fiduciary, partnership, other fiscally transparent entity or other than the sole beneficial owner of such Debenture to the extent such payment would be required by the laws of the relevant taxing jurisdiction, or any political subdivision or relevant taxing authority thereof or therein, to be included in the income for tax purposes of a beneficiary or settlor with respect to such fiduciary, partner, member of such other fiscally transparent entity or a beneficial owner who would not have been entitled to such additional amounts had it been the holder of the Debenture.

Consolidation, Amalgamations, Merger and Sales

The Indenture provides that we may not consolidate or amalgamate with or merge into any other person (whether or not affiliated with the Company), or convey, transfer or lease our properties and assets as an entirety or substantially as an entirety to any other person (whether or not affiliated with the

7

Company) to consolidate or amalgamate with or merge into the Company or convey, transfer or lease our properties and assets as an entirety or substantially as an entirety to the Company, unless:

•in case the Company shall consolidate or amalgamate with or merge into another person or convey, transfer or lease its properties and assets as an entirety or substantially as an entirety to any person, the person formed by such consolidation or amalgamation or into which the Company is merged or the person which acquires by conveyance or transfer, or which leases, the properties and assets of the Company as an entirety or substantially as an entirety shall be a person organized and existing under the laws of the United States of America, any state thereof or the District of Columbia, Bermuda, the Cayman Islands, Ireland, Switzerland, the United Kingdom, or any other country which is on the date of the Indenture a member of the Organization of Economic Cooperation and Development, and shall expressly assume, by supplemental indenture, all of our obligations under the Debentures and the Indenture and, for each security that by its terms provides for conversion, provide for the right to convert such security in accordance with its terms;

•immediately after giving effect to such transaction, no default or event of default under the Indenture has occurred and is continuing; and

•the trustee receives from us an officer’s certificate and an opinion of counsel that the consolidation, merger, conveyance, transfer or lease and, if a supplemental indenture is required in connection with such transaction, such supplemental indenture comply with the applicable provisions of the Indenture.

Events of Default

An event of default with respect to each class of Debentures will occur only upon certain events of bankruptcy, insolvency or receivership involving us or certain of our subsidiaries (as specified in the Indenture).

The Indenture refers to breaches that are not events of default as defaults. They include, with respect to each class of Debenture, among other things:

•the failure to pay interest, including compounded interest, in full on such class of Debentures for a period of 30 days after the conclusion of a five-year period following the commencement of any deferral period if such deferral period has not ended prior to the conclusion of such five-year period;

•the failure to pay principal of or premium, if any, on, or additional amounts with respect to, such class of Debentures when due; or

•the failure to comply with our covenants or agreements under the Indenture or such class of Debentures.

A default also includes, for example, a failure to pay interest when due if we do not give a timely written notice of our election to commence or continue a deferral period.If we do not give a timely written notice of our election to commence or continue a deferral period and fail to pay interest when due, any holder of the applicable Debentures may seek to enforce our obligation to make the missed interest payment, including through legal process. However, there is no right of acceleration except upon the occurrence of an event of default as described above.

8

If we do give a timely written notice of our election to commence or continue a deferral period on any interest payment date (and, if such notice continues a deferral period, the deferral period has not continued for five years), then no default arises from our non-payment of interest on such interest payment date.

The Indenture provides that the trustee must give holders notice of all defaults or events of default within 90 days after it becomes actually known to a responsible officer of the trustee. However, except in the case of a default in payment on the Debentures, the trustee will be protected in withholding the notice if its responsible officers determine that withholding of the notice is in the interest of such holders.

If an event of default under the Indenture occurs, the entire principal amount of the applicable Debentures will automatically become due and payable without any declaration or other action on the part of the trustee or any holder of the applicable Debentures. There is no right of acceleration in the case of any payment default or other breaches of covenants under the Indenture or the Debentures.Notwithstanding the foregoing, in the case of a default in the payment of principal of or interest on a particular class of Debentures including any compound interest (and, in the case of payment of deferred interest, such failure to pay will have continued for 30 calendar days after the conclusion of the deferral period), the holder of such class of Debentures may, or, if directed by the holders of a majority in principal amount of such class of Debentures, the trustee will, subject to the conditions set forth in the indenture, demand payment of the amount then due and payable and may institute legal proceedings for the collection of such amount if we fail to make payment thereof upon demand.

With respect to each class of the Debentures, the holders of a majority in aggregate principal amount of such class of Debentures may waive any past default, except:

•a default in payment of principal or interest, or any additional amounts; or

•a default under any provision of the Indenture that itself cannot be modified or amended without the consent of the holders of all outstanding Debentures of such class.

With respect to each class of the Debentures, the holders of a majority in principal amount of such class of Debentures will have the right to direct the time, method and place of conducting any proceeding for any remedy available to the trustee, subject to the provisions of the Indenture.

We are required to deliver a written statement to the trustee each year that states, to the knowledge of the officer making such statement, whether we have complied with all conditions and covenants under the terms of the Indenture.

The trustee will have no right or obligation under the Indenture or otherwise to exercise any remedies on behalf of any holders of the applicable Debentures pursuant to the Indenture in connection with any default, unless such remedies are available under the Indenture and the trustee is directed to exercise such remedies by the holders of a majority in principal amount of the applicable Debentures pursuant to and subject to the conditions of the Indenture.In connection with any such exercise of remedies, the trustee will be entitled to the same immunities and protections and remedial rights (other than acceleration) as if such default were an event of default.

Discharge, Defeasance and Covenant Defeasance

We may discharge certain obligations to holders of any class of Debentures that have not already been delivered to the trustee for cancellation and that either have become due and payable or will become

9

due and payable within one year, or scheduled for redemption within one year, by depositing with the trustee, in trust, funds in U.S. dollars or in the Foreign Currency in which such Debentures are payable in an amount sufficient to pay the entire indebtedness on such Debentures with respect to principal and any premium, interest and additional amounts to the date of such deposit, if such Debentures have become due and payable, or to the maturity thereof, as the case may be.

Each Indenture provides that, unless the provisions of Section 4.2 thereof are made inapplicable to Debentures of or within any series pursuant to Section 3.1 thereof, we may elect either:

•to defease and be discharged from any and all obligations with respect to such Debentures, except for, among other things, the obligation to pay additional amounts, if any, upon the occurrence of certain events of taxation, assessment or governmental charge with respect to payments on such Debentures and other obligations to register the transfer or exchange of such Debentures, to replace temporary or mutilated, destroyed, lost or stolen Debentures, to maintain an office or agency with respect to such Debentures and to hold moneys for payment in trust; or

•to be released from its obligations with respect to such Debentures under certain covenants as described in the related prospectus supplement, and any omission to comply with such obligations will not constitute a default or an event of default with respect to such Debentures.

Such defeasance or such covenant defeasance, as the case may be, will be conditioned upon the irrevocable deposit by us with the trustee, in trust, of an amount in U.S. dollars or in the Foreign Currency in which such Debentures are payable at stated maturity, or Government Obligations, or both, applicable to such Debentures which through the scheduled payment of principal and interest in accordance with their terms will provide money in an amount sufficient to pay the principal of, any premium and interest on, and any additional amounts with respect to, such Debentures on the scheduled due dates.

Such a trust may only be established if, among other things:

•the applicable defeasance or covenant defeasance does not result in a breach or violation of, or constitute a default under, the Indenture or any other material agreement or instrument to which we are a party or by which we are bound;

•no event of default or event which with notice or lapse of time or both would become an event of default with respect to the Debentures to be defeased will have occurred and be continuing on the date of establishment of such a trust and, with respect to defeasance only, at any time during the period ending on the 123rd day after such date; and

•we have delivered to the trustee an opinion of counsel, as specified in the Indenture, to the effect that the holders of such Debentures will not recognize income, gain or loss for United States Federal income tax purposes as a result of such defeasance or covenant defeasance and will be subject to United States Federal income tax on the same amounts, in the same manner and at the same times as would have been the case if such defeasance or covenant defeasance had not occurred, and such opinion of counsel, in the case of defeasance, must refer to and be based upon a letter ruling of the Internal Revenue Service received by us, a Revenue Ruling published by the Internal Revenue Service or a change in applicable United States Federal income tax law occurring after the date of the Indenture.

10

Definitions

“Foreign Currency” means any currency, currency unit or composite currency, including, without limitation, the euro, issued by the government of one or more countries other than the United States of America or by any recognized confederation or association of such governments.

“Government Obligations” means Debentures which are:

•direct obligations of the United States of America or the government or the governments which issued the Foreign Currency in which the Debentures of a particular series are payable, for the payment of which its full faith and credit is pledged; or

•obligations of a Person controlled or supervised by and acting as an agency or instrumentality of the United States of America or such government or governments which issued the Foreign Currency in which the Debentures of such series are payable, the timely payment of which is unconditionally guaranteed as a full faith and credit obligation by the United States of America or such other government or governments, which, in the case of clauses (1) and (2), are not callable or redeemable at the option of the issuer or issuers thereof, and will also include a depository receipt issued by a bank or trust company as custodian with respect to any such Government Obligation or a specific payment of interest on or principal of or any other amount with respect to any such Government Obligation held by such custodian for the account of the holder of such depository receipt, provided that, except as required by law, such custodian is not authorized to make any deduction from the amount payable to the holder of such depository receipt from any amount received by the custodian with respect to the Government Obligation or the specific payment of interest on or principal of or any other amount with respect to the Government Obligation evidenced by such depository receipt.

If after we have deposited funds and/or Government Obligations to effect defeasance or covenant

defeasance with respect to Debentures of any series:

•the holder of a Debenture of that series is entitled to, and does, elect pursuant to Section 3.1 of the Indenture or the terms of such Debenture to receive payment in a currency other than that in which such deposit has been made in respect of such Debenture; or

•a Conversion Event occurs in respect of the Foreign Currency in which such deposit has been made;

then the indebtedness represented by such Debenture will be deemed to have been, and will be, fully

discharged and satisfied through the payment of the principal of, any premium and interest on, and any additional amounts with respect to, such Debenture as such Debenture becomes due out of the proceeds yielded by converting the amount or other properties so deposited in respect of such Debenture into the currency in which such Debenture becomes payable as a result of such election or such Conversion Event based on:

•in the case of payments made pursuant to clause (1) above, the applicable market exchange rate for such currency in effect on the second business day prior to such payment date; or

•with respect to a Conversion Event, the applicable market exchange rate for such Foreign Currency in effect, as nearly as feasible, at the time of the Conversion Event.

11

“Conversion Event” means the cessation of use of:

•a Foreign Currency both by the government of the country or countries which issued such Foreign

Currency and for the settlement of transactions by a central bank or other public institutions of or

within the international banking community; or

•any currency unit or composite currency for the purposes for which it was established.

All payments of principal of, any premium and interest on, and any additional amounts with respect to, any Debenture that are payable in a Foreign Currency that ceases to be used by the government or governments of issuance will be made in U.S. dollars.

In the event we effect covenant defeasance with respect to any Debentures and such Debentures are declared due and payable because of the occurrence of any event of default other than an event of default with respect to any covenant as to which there has been covenant defeasance, the amount in such Foreign Currency in which such Debentures are payable, and Government Obligations on deposit with the trustee, will be sufficient to pay amounts due on such Debentures at the time of the stated maturity but may not be sufficient to pay amounts due on such Debentures at the time of the acceleration resulting from such event of default.However, we would remain liable to make payment of such amounts due at the time of acceleration.

Book-Entry and Settlement

Each class of Debentures was issued in book-entry form and represented by one or more global debentures.Beneficial interests in the global debentures are represented through book-entry accounts of financial institutions acting on behalf of the beneficial owners as direct and indirect participants in DTC.Investors may elect to hold interests in a global debenture through either DTC (in the United States) or Clearstream Banking, S.A. (“Clearstream”), or Euroclear Bank S.A./N.V., as operator of the Euroclear System (“Euroclear”) (in Europe), either directly if they are participants in such systems or indirectly through organizations that are participants in such systems.Clearstream and Euroclear hold interests on behalf of their participants through customers’ securities accounts in Clearstream’s and Euroclear’s names on the books of their U.S. depositaries, which in turn hold such interests in customers’ securities accounts in U.S. depositaries’ names on the books of DTC.Citibank, N.A. acts as U.S. depositary for Clearstream, and JPMorgan Chase Bank, N.A. acts as the U.S. depository for Euroclear.

Trustee and Paying Agent

BNY is the trustee under the Indenture governing the Debentures and acts as the paying agent for the Debentures.The global debentures were deposited with, or on behalf of, DTC, New York, New York, as depositary, and registered in the name of Cede & Co., the nominee of DTC.

Governing Law

The Debentures and the Indenture are governed by, and construed in accordance with, the laws of the State of New York.

12

EX-21

Exhibit 21

Subsidiaries of the Registrant (as of December 31, 2022). Ownership is 100% unless otherwise indicated.

Entity Name	Domicile
120dB Films Capital, LLC	Delaware
120dB Films Lending, LLC	Delaware
52 Lime Street Management Limited	United Kingdom
Abercrombie Textiles, LLC	Delaware
Acadia Insurance Company	Iowa
Acadia Insurance Group, LLC	Delaware
Admiral Indemnity Company	Delaware
Admiral Insurance Company	Delaware
Admiral Insurance Group, LLC	Delaware
American Mining Insurance Group, LLC	Delaware
Armada Insurance Services, Inc.	California
BerkDel Investors Limited	Bermuda
Berkley Accident and Health, LLC	Delaware
Berkley Administrators of Connecticut, Inc.	Delaware
Berkley Alliance Managers, LLC	Delaware
Berkley Alternative Markets Insurance Services, LLC	Delaware
Berkley Argentina de Reaseguros S.A.	Argentina
Berkley Asset Protection Underwriters, LLC	Delaware
Berkley Assurance Company	Iowa
Berkley Aviation, LLC	Delaware
Berkley Capital Investors, L.P.	Delaware
Berkley Capital, LLC	Delaware
Berkley Casualty Company	Iowa
Berkley Claims Solutions LLC	Delaware
Berkley Connect Insurance Solutions, LLC	Delaware
Berkley Custom Insurance Managers, LLC	Delaware
Berkley Dean & Company, Inc.	Delaware
Berkley European Brokers AS	Norway
Berkley European Underwriters AS	Norway
Berkley Facultative Reinsurance Services, LLC	Delaware
Berkley FinSecure, LLC	Delaware
Berkley Global Underwriters, LLC	Delaware
Berkley Healthcare Professional Insurance Services, LLC	Delaware
Berkley Insurance Company	Delaware
Berkley Insurance Company – Escritorio De Representacao do Brasil Ltda.	Brazil
Berkley Insurance Services, LLC	Delaware
Berkley International Aseguradora de Riesgos del Trabajo S. A.	Argentina
Berkley International Brasil Participacoes Ltda.	Brazil
Berkley International Compania de Servicios Mexico, S. A de C. V.	Mexico
Berkley International Compania de Servicios Uruguay, S.A.	Uruguay
Berkley International do Brasil Seguros S. A.	Brazil
Berkley International Fianzas Mexico S.A. de C.V.	Mexico
Berkley International Holdings, LLC	Delaware
Berkley International Investments Spain, S.L.U.	Spain
Berkley International Latinoamerica S. A.	Argentina

1

Berkley International Puerto Rico, LLC	Puerto Rico
Berkley International Seguros Colombia S.A.	Colombia
Berkley International Seguros Mexico S.A. de C.V.	Mexico
Berkley International Seguros, S. A. (99.59% ownership)	Argentina
Berkley International Seguros, S. A. (Uruguay)	Uruguay
Berkley International Services, LLC	Puerto Rico
Berkley International, LLC	New York
Berkley Latin America and Caribbean Managers, LLC	Delaware
Berkley Life and Health Insurance Company	Iowa
Berkley Life Sciences, LLC	Delaware
Berkley London Holdings, Inc.	Delaware
Berkley LS Insurance Solutions, LLC	Delaware
Berkley Managers Insurance Services, LLC	Delaware
Berkley Mid-Atlantic Group, LLC	Delaware
Berkley National Insurance Company	Iowa
Berkley Net Underwriters, LLC	Delaware
Berkley North Pacific Group, LLC	Delaware
Berkley Offshore Underwriting Managers UK, Limited	United Kingdom
Berkley Offshore Underwriting Managers, LLC	Delaware
Berkley Oil & Gas Specialty Services, LLC	Delaware
Berkley Prestige Insurance Company	Iowa
Berkley Product Recall Insurance Agency, LLC	Delaware
Berkley Professional Liability UK Limited	United Kingdom
Berkley Professional Liability, LLC	Delaware
Berkley Program Specialists, LLC	Delaware
Berkley Public Entity Managers, LLC	Delaware
Berkley Re America, LLC	Delaware
Berkley Re Direct, LLC	Delaware
Berkley Re UK Limited	United Kingdom
Berkley Regional Insurance Company	Iowa
Berkley Regional Insurance Services, LLC	Delaware
Berkley Regional Specialty, LLC	Delaware
Berkley Risk Administrators Company, LLC	Minnesota
Berkley Risk Administrators of Texas, Inc.	Texas
Berkley Risk Services of Vermont, Inc.	Delaware
Berkley Risk Solutions, LLC	Delaware
Berkley Select, LLC	Delaware
Berkley Southeast Insurance Group, LLC	Delaware
Berkley Specialty Insurance Company	Delaware
Berkley Specialty Insurance Services, LLC	Delaware
Berkley Specialty Underwriting Managers, LLC	Delaware
Berkley Surety Group, LLC	Delaware
Berkley Technology Services LLC	Delaware
Berkley Technology Underwriters, LLC	Delaware
Berkley Ventures, LLC	Delaware
BI China, Limited	Hong Kong
BIA Japan Services GK	Japan
BIL Advisors, LLC	Delaware
Birchwood Real Estate Capital Limited	England

2

Birchwood Real Estate Capital UK Limited	England
BREC 1 UK Limited	United Kingdom
BREC Fund 1 CIP GP Limited	Jersey
BREC Fund 1 CIP LP	Jersey
BREC Fund 1 GP Limited	Jersey
BREC Fund 1 Jersey Limited	Jersey
BREC Fund 1 LP	Jersey
Breckenridge Insurance Group, Inc.	Colorado
Breckenridge Insurance Services, LLC	California
Breckenridge IS, Inc.	Delaware
BXM Insurance Services, Inc.	Delaware
Capitol Crossing Advisors, LLC	Delaware
Carolina Casualty Insurance Company	Iowa
Carolina Casualty Insurance Group, LLC	Delaware
CC Equity Holdings, LLC	Delaware
CC Investors, LLC	Delaware
Center Place Holdings LLC (92.59% ownership)	Delaware
CGH Claims Service, Inc.	Pennsylvania
CGH Insurance Group, LLC	Alabama
Clermont Insurance Company	Iowa
Clermont Specialty Managers, Ltd.	New Jersey
Continental Western Group, LLC	Delaware
Continental Western Insurance Company	Iowa
Corporate Imaging Concepts, LLC (82.06% ownership)	Delaware
Cotasy Corporation S. A.	Uruguay
Crypton Investment Holdings LLC (89.5% ownership)	Delaware
Crypton LLC	Michigan
Crypton-NewCo Real Estate LLC	Delaware
East Isles Reinsurance, Ltd.	Bermuda
eCompanyStore, LLC	Delaware
Facultative Resources, Inc.	Connecticut
Fayston Farms Shipping Ltd.	Bermuda
Firemen's Insurance Company of Washington, D.C.	Delaware
Franchise Credit, LLC	Delaware
Gemini Insurance Company	Delaware
Gemini Transportation Underwriters, LLC	Delaware
Great Divide Insurance Company	North Dakota
Greenwich AeroGroup Brazil Holdings, Inc.	Delaware
Greenwich AeroGroup Brazil Leasing, Inc.	Delaware
Greenwich AeroGroup International, Inc.	Delaware
Greenwich AeroGroup Serviços de Aviação do Brazil S.A.	Brazil
Greenwich AeroGroup, Inc.	Delaware
Greenwich Knight Insurance Company, Ltd.	Bermuda
GRG Investment Holdings, Ltd.	Cayman Islands
Guangzhou Meridian Chemical Limited	China
Helivia Aero Taxi S.A.	Brazil
Helivia Participações do Brasil Ltda	Brazil
Insurance Networks Alliance, LLC	Delaware
Interlaken Capital Aviation Holdings, Inc.	Delaware

3

Interlaken Capital Aviation Services, Inc.	Delaware
Intrepid Casualty Company	Iowa
Intrepid Direct Insurance Agency, LLC	Kansas
Intrepid Insurance Company	Iowa
Intrepid Specialty Insurance Company	Iowa
Jersey International Brokerage Corporation	New Jersey
Kauai Shipping Ltd.	Bermuda
Kekona Shipping Ltd.	Bermuda
Key Care, LLC	North Carolina
Key Risk Insurance Company	Iowa
Key Risk Management Services, LLC	Delaware
Key Risk Underwriting Managers, LLC	Delaware
Kilauea Holdings Ltd.	Bermuda
Kimmei Shipping Ltd.	Bermuda
Kohala Shipping Ltd.	Bermuda
Lady Jane Shipping Ltd.	Bermuda
Lavalier Insurance Services, LLC	Delaware
Lex NY Equities LLC	Delaware
Mad River Shipping Ltd.	Bermuda
MADA Reciprocal Services, Inc.	Minnesota
Magaverse Limited	Hong Kong
Masterclass Limited	Hong Kong
Middle Patent Capital, LLC	Delaware
Midwest Employers Casualty Company	Delaware
Midwest Employers Casualty Group, LLC	Delaware
Midwest Employers Services, LLC	Delaware
Monitor Liability Managers, LLC	Delaware
MPC Memphis HI LLC	Delaware
Nano-Tex Asia Limited	Hong Kong
Nano-Tex LLC	Michigan
Nautilus Excess Insurance Agency, LLC	Delaware
Nautilus Insurance Company	Arizona
Nautilus Insurance Group, LLC	Delaware
Number 9 Shipping Ltd.	Bermuda
Oak Harbor Reinsurance Company	North Carolina
Overby-Seawell Company	Georgia
PGIS, LLC	Texas
Platinum Program Managers & Insurance Services, Inc.	California
Preferred Employers Group, LLC	Delaware
Preferred Employers Insurance Company	California
Professional Aircraft Accessories, Inc.	Delaware
Professional Aviation Associates, Inc.	Georgia
Queen's Island Insurance Company, Ltd.	Bermuda
Rasmussen Agency, Inc.	New Jersey
Regional Excess Underwriters, LLC	Delaware
Reinserco, Inc.	New Jersey
Riverport Insurance Company	Iowa
Riverport Insurance Services, LLC	Delaware
Select Marketing Insurance Services, LLC	California

4

Signet Star Holdings, Inc.	Delaware
SilverCap-Greenwich, LLC (98.8% ownership)	Delaware
Southeastern Underwriters, Inc.	Virginia
StarNet Insurance Company	Iowa
Starnet Insurance Services, LLC	Delaware
Steamboat Asset Management, LLC	Delaware
Steamboat Opportunity Partners, LLC	Delaware
Summit Aviation, Inc.	Delaware
Target Markets, LLC	Delaware
Target Programs, LLC	Delaware
Tri-State Insurance Company of Minnesota	Iowa
Union Insurance Company	Iowa
Union Standard Insurance Group, LLC	Delaware
Union Standard Management Company, Inc.	Texas
Vela Insurance Services, LLC	Delaware
Verus Underwriting Managers, LLC	Delaware
W. R. Berkley Europe AG	Liechtenstein
W. R. Berkley European Holdings AG	Switzerland
W. R. Berkley European Services GmbH	Switzerland
W. R. Berkley London Holdings, Limited	United Kingdom
W. R. Berkley London Staff, Limited	United Kingdom
W. R. Berkley Mexico, S. A. de C. V.	Mexico
W. R. Berkley Spain, S. L. U.	Spain
W. R. Berkley Syndicate Holdings Limited	United Kingdom
W. R. Berkley Syndicate Limited	United Kingdom
W. R. Berkley Syndicate Management Limited	United Kingdom
W. R. Berkley UK Limited	United Kingdom
Western Aircraft, Inc.	Nevada
Western Pinnacle Insurance Services, Inc.	California
WRBC Aviation Leasing, LLC	Delaware
WRBC Corporate Member Limited	United Kingdom
WRBC Development UK Limited	United Kingdom
WRBC REF Holdings Limited	Bermuda
WRBC Services, Limited	United Kingdom
WRBC Support Services, LLC	Delaware
WRBC Transportation, Inc.	Delaware
W. R. Berkley London Holdings, Limited	United Kingdom
W. R. Berkley London Staff, Limited	United Kingdom
W. R. Berkley Mexico, S. A. de C. V.	Mexico
W. R. Berkley Spain, S. L. U.	Spain
W. R. Berkley Syndicate Holdings Limited	United Kingdom
W. R. Berkley Syndicate Limited	United Kingdom
W. R. Berkley Syndicate Management Limited	United Kingdom
W. R. Berkley UK Limited	United Kingdom
Western Aircraft, Inc.	Nevada
Western Pinnacle Insurance Services, Inc.	California
WRBC Aviation Leasing, LLC	Delaware

5

WRBC Corporate Member Limited	United Kingdom
WRBC Development UK Limited	United Kingdom
WRBC REF Holdings Limited	Bermuda
WRBC Services, Limited	United Kingdom
WRBC Support Services, LLC	Delaware
WRBC Transportation, Inc.	Delaware

6

EX-23

Consent of Independent Registered Public Accounting Firm

We consent to the incorporation by reference in the registration statement (No. 333-249950) on Form S-3 and the registration statements (No. 333-225579 and No. 33-88640) on Form S-8 of our reports dated February 24, 2023, with respect to the consolidated financial statements and financial statement schedules II to VI of W. R. Berkley Corporation and the effectiveness of internal control over financial reporting.

/S/ KPMG LLP

New York, New York

February 24, 2023

EX-31.1

Exhibit 31.1

CERTIFICATIONS

    I, W. Robert Berkley, Jr., President and Chief Executive Officer of W. R. Berkley Corporation (the “registrant”), certify that:

1. I have reviewed this annual report on Form 10-K of the registrant;

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 this report;

4. The registrant’s other certifying officer(s) 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(s) and I have disclosed, based on our most recent evaluation of internal control over financial reporting, to the registrant’s auditors and the audit committee of the 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 24, 2023

/s/ W. Robert Berkley, Jr. 

W. Robert Berkley, Jr.

President and Chief Executive Officer 

EX-31.2

Exhibit 31.2

CERTIFICATIONS

I, Richard M. Baio, Executive Vice President - Chief Financial Officer and Treasurer of W. R. Berkley Corporation (the “registrant”), certify that:

1. I have reviewed this annual report on Form 10-K of the registrant;

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 this report;

4. The registrant’s other certifying officer(s) 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(s) and I have disclosed, based on our most recent evaluation of internal control over financial reporting, to the registrant’s auditors and the audit committee of the 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 24, 2023

/s/ Richard M. Baio

Richard M. Baio

Executive Vice President,
Chief Financial Officer and Treasurer

EX-32.1

Exhibit 32.1

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Annual Report of W. R. Berkley Corporation (the “Company”) on Form 10-K for the fiscal year ended December 31, 2022 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), we, W. Robert Berkley, Jr., President and Chief Executive Officer of the Company, and Richard M. Baio, Executive Vice President-Chief Financial Officer and Treasurer of the Company, certify, pursuant to 18 U.S.C. §1350, as adopted pursuant to §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.

/s/ W. Robert Berkley, Jr.

W. Robert Berkley, Jr.

President and Chief Executive Officer

/s/ Richard M. Baio

Richard M. Baio

Executive Vice President — Chief Financial Officer and Treasurer

February 24, 2023

A signed original of this written statement required by Section 906 has been provided to the Company and will be retained by the Company and furnished to the Securities and Exchange Commission or its staff upon request.

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Cover Page - USD ($)	12 Months Ended
	Dec. 31, 2022	Feb. 15, 2023	Jun. 30, 2022
Entity Information [Line Items]
Document Type	10-K
Document Annual Report	true
Document Period End Date	Dec. 31, 2022
Document Transition Report	false
Entity File Number	1-15202
Entity Registrant Name	W. R. BERKLEY CORP
Entity Incorporation, State or Country Code	DE
Entity Tax Identification Number	22-1867895
Entity Address, Address Line One	475 Steamboat Road
Entity Address, City or Town	Greenwich,
Entity Address, State or Province	CT
Entity Address, Postal Zip Code	06830
City Area Code	203
Local Phone Number	629-3000
Title of 12(b) Security	Common Stock, par value $.20 per share
Trading Symbol	WRB
Security Exchange Name	NYSE
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
Entity Shell Company	false
Entity Public Float			$ 14,340,165,170
Entity Common Stock, Shares Outstanding		263,446,321
Entity Central Index Key	0000011544
Current Fiscal Year End Date	--12-31
Document Fiscal Year Focus	2020
Document Fiscal Period Focus	FY
Amendment Flag	false
Documents Incorporated by Reference [Text Block]	Portions of the Company’s definitive proxy statement, which will be filed with the Securities and Exchange Commission within 120 days after December 31, 2022, are incorporated herein by reference in Part III.
5.700% Subordinated Debentures due 2058
Entity Information [Line Items]
Title of 12(b) Security	5.700% Subordinated Debentures due 2058
Trading Symbol	WRB-PE
Security Exchange Name	NYSE
5.100% Subordinated Debentures due 2059
Entity Information [Line Items]
Title of 12(b) Security	5.100% Subordinated Debentures due 2059
Trading Symbol	WRB-PF
Security Exchange Name	NYSE
4.250% Subordinated Debentures due 2060
Entity Information [Line Items]
Title of 12(b) Security	4.250% Subordinated Debentures due 2060
Trading Symbol	WRB-PG
Security Exchange Name	NYSE
4.125% Subordinated Debentures due 2061
Entity Information [Line Items]
Title of 12(b) Security	4.125% Subordinated Debentures due 2061
Trading Symbol	WRB-PH
Security Exchange Name	NYSE

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Audit Information	12 Months Ended
	Dec. 31, 2022
Auditor Information [Abstract]
Auditor Name	KPMG LLP
Auditor Location	New York, New York
Auditor Firm ID	185

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Consolidated Statements of Income - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
REVENUES:
Net premiums written	$ 10,004,070	$ 8,862,867	$ 7,262,437
Change in net unearned premiums	(442,641)	(756,836)	(331,594)
Net premiums earned	9,561,429	8,106,031	6,930,843
Net investment income	779,185	671,618	583,821
Net investment gains:
Unrealized investment gains (losses), before tax	217,311	106,958	73,514
Change in allowance for expected credit losses on investments	(14,914)	(16,326)	29,486
Net investment gains	202,397	90,632	103,000
Revenues from non-insurance businesses	509,548	489,151	389,888
Insurance service fees	110,544	93,857	88,777
Other income	3,396	4,177	2,596
Total revenues	11,166,499	9,455,466	8,098,925
OPERATING COSTS AND EXPENSES:
Losses and loss expenses	5,861,750	4,953,960	4,468,706
Other operating costs and expenses	2,961,505	2,599,270	2,390,392
Expenses from non-insurance businesses	493,189	472,151	384,488
Interest expense	130,374	147,180	150,537
Total operating costs and expenses	9,446,818	8,172,561	7,394,123
Pre-Tax Income (Loss)	1,719,681	1,282,905	704,802
Income tax expense	(334,727)	(251,890)	(171,817)
Net income before noncontrolling interests	1,384,954	1,031,015	532,985
Noncontrolling interests	(3,892)	(8,525)	(2,315)
Net income to common stockholders	$ 1,381,062	$ 1,022,490	$ 530,670
NET INCOME PER SHARE:
Basic (dollars per share)	$ 4.99	$ 3.69	$ 1.89
Diluted (dollars per share)	$ 4.94	$ 3.66	$ 1.87

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Consolidated Balance Sheets - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
Investments:
Fixed maturity securities (amortized cost of $18,715,483 and $16,471,304; allowance for expected credit losses of $37,466 and $22,625 at December 31, 2022 and 2021)	$ 17,587,349	$ 16,602,673
Investment funds	1,608,548	1,480,612
Real estate	1,340,622	1,852,508
Arbitrage trading account	944,230	1,179,606
Equity securities	1,185,894	941,243
Loans receivable (net of allowance for expected credit losses of $1,791 and $1,718 at December 31, 2022 and 2021)	193,002	115,172
Total investments	22,859,645	22,171,814
Cash and cash equivalents	1,449,346	1,568,843
Premiums and fees receivable (net of allowance for expected credit losses of $30,660 and $25,218 at December 31, 2022 and 2021)	2,779,244	2,522,972
Due from reinsurers (net of allowance for expected credit losses of $8,064 and $7,713 at December 31, 2022 and 2021)	3,187,730	2,923,026
Deferred policy acquisition costs	763,486	676,145
Prepaid reinsurance premiums	696,468	676,915
Trading account receivable from brokers and clearing organizations	233,863	0
Property, furniture and equipment	423,232	419,883
Goodwill	185,509	169,652
Accrued investment income	166,784	122,938
Current federal and foreign income taxes	39,123	23,570
Deferred federal and foreign income taxes	340,647	57,425
Other assets	736,022	753,231
Total assets	33,861,099	32,086,414
Liabilities:
Reserves for losses and loss expenses	17,011,223	15,390,888
Unearned premiums	5,297,654	4,847,160
Due to reinsurers	523,131	514,980
Trading account securities sold but not yet purchased	0	1,169
Trading account payable to brokers and clearing organizations	0	53,636
Current federal and foreign income taxes	34,350	21,068
Deferred federal and foreign income taxes	11,646	17,470
Senior notes and other debt	1,828,823	2,259,416
Subordinated debentures	1,008,371	1,007,652
Other liabilities	1,377,740	1,305,245
Total liabilities	27,092,938	25,418,684
Equity:
Preferred stock, par value $.10 per share: Authorized 5,000,000 shares; issued and outstanding - none	0	0
Common stock, par value $.20 per share: Authorized 500,000,000 shares, issued and outstanding, net of treasury shares, 177,825,150 and 183,411,907 shares, respectively	105,803	105,803
Additional paid-in capital	997,534	981,104
Retained earnings	10,161,005	9,015,135
Accumulated other comprehensive loss	(1,264,581)	(281,955)
Treasury stock, at cost, 264,468,528 and 263,843,868 shares, respectively	(3,251,429)	(3,167,076)
Total common stockholders’ equity	6,748,332	6,653,011
Noncontrolling interests	19,829	14,719
Total equity	6,768,161	6,667,730
Total liabilities and equity	$ 33,861,099	$ 32,086,414

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Consolidated Balance Sheets (Parenthetical) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
Statement of Financial Position [Abstract]
Fixed maturity securities, amortized cost	$ 18,715,483	$ 16,471,304
Fixed maturity securities, allowance for credit loss	37,466	22,625
Financing receivable, allowance for credit loss	1,791	1,718
Premium receivable, allowance for credit loss	30,660	25,218
Uncollectible reinsurance	$ 8,064	$ 7,713
Preferred stock, par value (in dollars per share)	$ 0.10	$ 0.10
Preferred stock, authorized (in shares)	5,000,000	5,000,000
Preferred stock, issued (in shares)	0	0
Preferred stock, outstanding (in shares)	0	0
Common stock, par value (in dollars per share)	$ 0.20	$ 0.20
Common stock, issued (in shares)	264,546,100	265,170,882
Common stock, outstanding (in shares)	264,546,100	265,170,882
Common stock, authorized (in shares)	1,250,000,000	750,000,000
Treasury stock, at cost (in shares)	264,468,528	263,843,868

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Consolidated Statements of Stockholders' Equity - USD ($) $ in Thousands	Total	Common stocks	Additional Paid In Capital	Retained Earnings	Retained Earnings Cumulative Effect, Period Of Adoption, Adjustment	Accumulated Other Comprehensive (Loss) Income	Unrealized investment gains (losses	Unrealized investment gains (losses Cumulative Effect, Period Of Adoption, Adjustment	Currency Translation Adjustments	Treasury Stock	Noncontrolling Interests
Beginning of period at Dec. 31, 2019		$ 105,803	$ 1,020,774	$ 7,932,372	$ (30,514)		$ 124,514	$ 24,952	$ (381,813)	$ (2,726,711)	$ 43,403
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Restricted stock units issued			(38,491)
Restricted stock units expensed			48,567
Change in controlling financial interest of a subsidiary			(53,635)
Change in unrealized (losses) gains on securities without an allowance for expected credit losses	$ 140,250						108,244
Change in unrealized (losses) gains on securities with an allowance for expected credit losses							32,004
Net change in period	29,927								29,927
Stock exercised/vested										13,917
Stock issued										726
Stock repurchased										(346,357)
Contributions (distributions)											(30,721)
Net income	532,985			530,670							2,315
Dividends ($0.89, $1.34, and $0.31 per share, respectively)				(84,147)
Other comprehensive loss, net of tax	170,177										(2)
End of period at Dec. 31, 2020		105,803	977,215	8,348,381	0	$ (62,172)	289,714	0	(351,886)	(3,058,425)	14,995
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Restricted stock units issued			(44,041)
Restricted stock units expensed			47,930
Change in controlling financial interest of a subsidiary			0
Change in unrealized (losses) gains on securities without an allowance for expected credit losses	(198,812)						(208,938)
Change in unrealized (losses) gains on securities with an allowance for expected credit losses							10,124
Net change in period	(20,969)								(20,969)
Stock exercised/vested										13,264
Stock issued										511
Stock repurchased										(122,426)
Contributions (distributions)											(8,799)
Net income	1,031,015			1,022,490							8,525
Dividends ($0.89, $1.34, and $0.31 per share, respectively)				(355,736)
Other comprehensive loss, net of tax	(219,781)					(219,781)			(20,969)		(2)
End of period at Dec. 31, 2021	6,667,730	$ 105,803	981,104	9,015,135	$ 0	(281,955)	90,900	$ 0	(372,855)	(3,167,076)	14,719
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Restricted stock units issued			(32,622)
Restricted stock units expensed			49,052
Change in controlling financial interest of a subsidiary			0
Change in unrealized (losses) gains on securities without an allowance for expected credit losses	(983,803)						(955,435)
Change in unrealized (losses) gains on securities with an allowance for expected credit losses							(28,370)
Net change in period	1,179								1,179
Stock exercised/vested										9,428
Stock issued										359
Stock repurchased										(94,140)
Contributions (distributions)											1,220
Net income	1,384,954			1,381,062							3,892
Dividends ($0.89, $1.34, and $0.31 per share, respectively)				(235,192)
Other comprehensive loss, net of tax	(982,624)					(982,624)			1,179		(2)
End of period at Dec. 31, 2022	$ 6,768,161		$ 997,534	$ 10,161,005		$ (1,264,581)	$ (892,905)		$ (371,676)	$ (3,251,429)	$ 19,829

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Consolidated Statements of Stockholder's Equity (Parenthetical) - $ / shares	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Statement of Stockholders' Equity [Abstract]
Dividends (in dollars per share)	$ 0.89	$ 1.34	$ 0.31

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Consolidated Statements of Comprehensive Income - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Statement of Comprehensive Income [Abstract]
Net income before noncontrolling interests	$ 1,384,954	$ 1,031,015	$ 532,985
Other comprehensive (loss) gain.:
Change in unrealized translation adjustments	1,179	(20,969)	29,927
Change in unrealized investment (losses) gains, net of taxes	(983,803)	(198,812)	140,250
Other comprehensive (loss) gain	(982,624)	(219,781)	170,177
Comprehensive income	402,330	811,234	703,162
Noncontrolling interests	(3,890)	(8,523)	(2,313)
Comprehensive income to common stockholders	$ 398,440	$ 802,711	$ 700,849

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Consolidated Statements of Cash Flows - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
CASH FROM OPERATING ACTIVITIES:
Net income to common stockholders	$ 1,381,062	$ 1,022,490	$ 530,670
Adjustments to reconcile net income to net cash from operating activities:
Net investment gains	(202,397)	(90,632)	(103,000)
Depreciation and amortization	55,872	129,682	135,065
Noncontrolling interests	3,892	8,525	2,315
Investment funds	(145,099)	(220,015)	(54,253)
Stock incentive plans	49,411	46,680	49,658
Change in:
Arbitrage trading account	(53,291)	(268,649)	(67,943)
Premiums and fees receivable	(268,171)	(364,395)	(173,618)
Reinsurance accounts	(266,307)	(433,644)	(313,525)
Deferred policy acquisition costs	(88,844)	(121,663)	(38,691)
Current income taxes	(3,534)	(43,890)	49,021
Deferred income taxes	(64,712)	7,630	(34,057)
Reserves for losses and loss expenses	1,684,254	1,635,774	1,176,049
Unearned premiums	466,590	786,627	415,956
Other	19,878	89,467	43,039
Net cash from operating activities	2,568,604	2,183,987	1,616,686
CASH FLOWS (USED IN) FROM INVESTING ACTIVITIES:
Proceeds from sale of fixed maturity securities	797,948	1,842,139	3,832,555
Proceeds from sale of equity securities	82,319	126,980	114,763
Distributions from (contributions to) investment funds	(24,623)	(101,050)	3,042
Proceeds from maturities and prepayments of fixed maturity securities	4,891,179	6,067,230	3,864,327
Purchase of fixed maturity securities	(8,036,680)	(10,716,748)	(7,551,591)
Purchase of equity securities	(340,482)	(464,645)	(253,031)
Real estate (purchased) sold	(45,920)	166,886	178,934
Change in loans receivable	(83,212)	(27,421)	1,467
Net additions to property, furniture and equipment	(52,684)	(66,634)	(38,171)
Change in balances due from security brokers	14,337	(17,983)	(26,515)
Cash received in connection with business disposition	906,789	0	0
Payment for business purchased, net of cash acquired	(49,572)	0	0
Net cash (used in) from investing activities	(1,891,355)	(2,989,146)	119,696
CASH FLOWS (USED IN) FROM FINANCING ACTIVITIES:
Net (payments) proceeds from issuance of debt	(3,309)
Net (payments) proceeds from issuance of debt		1,034,107	741,637
Repayment of senior notes and other debt	(426,503)	(504,952)	(652,751)
Cash dividends to common stockholders	(235,192)	(355,736)	(84,147)
Purchase of common treasury shares	(94,140)	(122,426)	(346,357)
Other, net	(12,848)	(45,162)	(56,225)
Net cash (used in) from financing activities	(771,992)	5,831	(397,843)
Net impact on cash due to change in foreign exchange rates	(24,754)	(4,195)	10,117
Net (decrease) increase in cash and cash equivalents	(119,497)	(803,523)	1,348,656
Cash and cash equivalents at beginning of year	1,568,843	2,372,366	1,023,710
Cash and cash equivalents at end of year	$ 1,449,346	$ 1,568,843	$ 2,372,366

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Summary of Significant Accounting Policies

12 Months Ended

Dec. 31, 2022

Accounting Policies [Abstract]

Summary of Significant Accounting Policies

Summary of Significant Accounting Policies

(A) Principles of consolidation and basis of presentation

The consolidated financial statements, which include the accounts of W. R. Berkley Corporation and its subsidiaries (the "Company"), have been prepared on the basis of U.S. generally accepted accounting principles ("GAAP"). All significant intercompany transactions and balances have been eliminated. Reclassifications have been made in the 2021 and 2020 financial statements as originally reported to conform to the presentation of the 2022 financial statements. Shares outstanding and per share amounts have been adjusted to reflect the 3-for-2 common stock split effected on March 23, 2022. In the fourth quarter of 2022, the Company adjusted the proceeds from sale of fixed maturity securities and purchase of fixed maturity securities lines within the consolidated statements of cash flows for an incremental inter-company elimination which resulted in no impact on the total amount of investing activities. For the years ended December 31, 2021 and 2020, the Company did not correct these line items as the effects were not material and had no impact on the total amount of investing activities.

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 disclosures of contingent assets and liabilities at the date of the financial statements and the revenues and expenses reflected during the reporting period. The most significant items on our balance sheet that involve a greater degree of accounting estimates that are subject to change in the future are the valuation of investments, allowance for expected credit losses on investments, reserves for losses and loss expenses and premium estimates. Actual results could differ from those estimates.

(B) Revenue recognition

Insurance premiums are recognized as written at the inception of the policy. Reinsurance premiums are estimated based upon information received from ceding companies, and subsequent differences from such estimates are recorded in the period they are determined. Insurance and reinsurance premiums are primarily earned on a pro rata basis over the policy term. Fees for services are earned over the period that the services are provided. Premiums and fees receivable are reported net of an allowance for expected credit losses, with the allowance being estimated based on current and future expected conditions, historical loss data and specific identification of collectability concerns where applicable. Changes in the allowance are reported within other operating costs and expenses.

Audit premiums are recognized when they are reliably determinable. The change in accruals for earned but unbilled audit premiums increased (decreased) net premiums written and premiums earned by $25 million, $10 million and $(27) million in 2022, 2021 and 2020, respectively.

Revenues from non-insurance businesses are derived from businesses engaged in the distribution of promotional merchandise, world-wide textile solutions, and aircraft services provided to the general, commercial and military aviation markets. These aircraft services include (i) the distribution, manufacturing, repair and overhaul of aircraft parts and components, (ii) the sale of new and used aircraft, and (iii) avionics, fuel, maintenance, storage and charter services. Revenue is recognized upon the shipment of products and parts, the delivery of aircraft, the delivery of fuel, and over the completion period of services.

Insurance service fee revenue represents servicing fees for program administration and claims management services provided by the Company, including workers' compensation assigned risk plans, as well as insurance brokerage and risk management services. Fees for program administration, claims management and risk management services are primarily recognized ratably over the related contract period for which the underlying services are rendered. Commissions for insurance brokerage are generally recognized when the underlying insurance policy is effective.

(C) Cash and cash equivalents

Cash equivalents consist of funds invested in money market accounts and investments with an effective maturity of three months or less when purchased.

(D) Investments

Fixed maturity securities classified as available for sale are carried at estimated fair value, with unrealized gains and losses, net of applicable income taxes, excluded from earnings and reported as a component of comprehensive income and a separate component of stockholders' equity. Fixed maturity securities that the Company has the positive intent and ability to

hold to maturity are classified as held to maturity and reported at amortized cost. Investment income from fixed maturity securities is recognized based on the constant effective yield method. Premiums and discounts on mortgage-backed securities are adjusted for the effects of actual and anticipated prepayments on a retrospective basis.

Equity securities with readily determinable fair values are measured at fair value, with changes in the fair value recognized in net income within net realized and unrealized gains on investments.

Fixed maturity securities that the Company purchased with the intent to sell in the near-term are classified as trading account securities and are reported at estimated fair value. Realized and unrealized gains and losses from trading activity are reported as net investment income and are recorded at the trade date. Short sales and short call options are presented as trading securities sold but not yet purchased. Unsettled trades and the net margin balances held by the clearing broker are presented as a trading account receivable from brokers and clearing organizations.

Investment funds are carried under the equity method of accounting. The Company's share of the earnings or losses of investment funds is primarily reported on a one-quarter lag in order to facilitate the timely completion of the Company's consolidated financial statements.

Loans receivable primarily represent commercial real estate mortgage loans and bank loans and are carried at amortized cost. The accrual of interest on loans receivable is discontinued if the loan is 90 days past due based on the contractual terms of the loan unless the loan is adequately secured and in process of collection. In general, loans are placed on non-accrual status or charged off at an earlier date if collection of principal or interest is considered doubtful. Interest on these loans is accounted for on a cash basis until qualifying for return to accrual status. Loans are returned to accrual status when all principal and interest amounts contractually due are brought current and future payments are reasonably assured.

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.” Fair value of investments is determined based on a fair value hierarchy that prioritizes the use of observable inputs over the use of unobservable inputs and requires the use of observable inputs when available. (See Note 13 of the Notes to Consolidated Financial Statements.)

Realized gains or losses represent the difference between the cost of securities sold and the proceeds realized upon sale and are recorded at the trade date. The Company uses primarily the first-in, first-out method to determine the cost of securities sold.

For available for sale securities in an unrealized loss position where the Company intends to sell, or it is more likely than not that it will be required to sell the security before recovery in value, the amortized cost basis is written down to fair value through net investment gains. For available for sale securities in an unrealized loss position where the Company does not intend to sell, or it is more likely than not that it will not be required to sell the security before recovery in value, the Company evaluates whether the decline in fair value has resulted from credit losses or all other factors (non-credit factors). In making this assessment, the Company considers the extent to which fair value is less than amortized cost, changes to the rating of the security by a rating agency, and adverse conditions specifically related to the security, among other factors. If this assessment indicates that a credit loss exists, the present value of cash flows expected to be collected from the security are compared to the amortized cost basis of the security. If the present value of cash flows expected to be collected is less than the amortized cost basis, an allowance for expected credit losses is recorded for the credit loss through net investment gains, limited by the amount that the fair value is less than the amortized cost basis. The allowance is adjusted for any change in expected credit losses and subsequent recoveries through net investment gains. The impairment related to non-credit factors is recognized in comprehensive income (loss).

For financial assets carried at amortized cost, which includes held to maturity securities and loans receivable, the Company estimates an allowance for expected credit losses based on relevant information about past events, including historical loss experience, current conditions and forecasts that affect the expected collectability of the amortized cost of the financial asset. The allowance for expected credit losses is presented as a reduction to amortized cost of the financial asset in the consolidated balance sheet and changes to the estimate for expected credit losses are recognized through net investment gains.

The Company’s credit assessment of allowance for expected credit losses uses a third party model for available for sale and held to maturity securities, as well as loans receivable. The allowance for expected credit losses is generally based on the performance of the underlying collateral under various economic and default scenarios that involve subjective judgments and estimates by management. Modeling these securities involves various factors, such as projected default rates, the nature and realizable value of the collateral, if any, the ability of the issuer to make scheduled payments, historical performance and other relevant economic and performance factors. A discounted cash flow analysis is used to ascertain the amount of the allowance for expected credit losses, if any. In general, the model reverts to the rating-level long-term average marginal default rates based on 10 years of historical data, beyond the forecast period. For other inputs, the model in most cases reverts to the baseline long-

term assumptions linearly over 5 years beyond the forecast period. The long-term assumptions are based on the historical averages.

The Company reports accrued investment income separately from fixed maturity securities, and has elected not to measure an allowance for expected credit losses for accrued investment income. Accrued investment income is written off through net investment income at the time the issuer of the bond defaults or is expected to default on payments.

Real estate held for investment purposes is initially recorded at the purchase price, which is generally fair value, and is subsequently reported at cost less accumulated depreciation. Real estate taxes, interest and other costs incurred during development and construction are capitalized. Buildings are depreciated on a straight-line basis over the estimated useful lives of the building. Minimum rental income is recognized on a straight-line basis over the lease term. Income and expenses from real estate are reported as net investment income. The carrying value of real estate is reviewed for impairment and an impairment loss is recognized if the estimated undiscounted cash flows from the use and disposition of the property are less than the carrying value of the property.

(E) Per share data

The Company presents both basic and diluted net income per share (“EPS”) amounts. Basic EPS is calculated by dividing net income by weighted average number of common shares outstanding during the year (including 11,416,856 common shares held in a grantor trust). The common shares held in the grantor trust are for delivery upon settlement of vested but mandatorily deferred restricted stock units ("RSUs"). Shares held by the grantor trust do not affect diluted shares outstanding since the shares deliverable under vested RSUs were already included in diluted shares outstanding. Diluted EPS is based upon the weighted average number of basic and common equivalent shares outstanding during the year and is calculated using the treasury stock method for stock incentive plans. Common equivalent shares are excluded from the computation in periods in which they have an anti-dilutive effect.

(F) Deferred policy acquisition costs

Acquisition costs associated with the successful acquisition of new and renewed insurance and reinsurance contracts are deferred and amortized ratably over the terms of the related contracts. Ceding commissions received on reinsurance contracts are netted against acquisition costs and are recognized ratably over the life of the contract. Deferred policy acquisition costs are presented net of unearned ceding commissions. Deferred policy acquisition costs are comprised primarily of commissions, as well as employment-related underwriting costs and premium taxes. Deferred policy acquisition costs are reviewed to determine if they are recoverable from future income and, if not, are charged to expense. The recoverability of deferred policy acquisition costs is evaluated separately by each of our operating companies. Future investment income is taken into account in measuring the recoverability of deferred policy acquisition costs.

(G) Reserves for losses and loss expenses

Reserves for losses and loss expenses are an accumulation of amounts determined on the basis of (1) evaluation of claims for business written directly by the Company; (2) estimates received from other companies for reinsurance assumed by the Company; and (3) estimates for losses incurred but not reported (based on Company and industry experience). These estimates are periodically reviewed and, as experience develops and new information becomes known, the reserves are adjusted as necessary. Such adjustments are reflected in the statements of income in the period in which they are determined. The Company discounts its reserves for excess and assumed workers' compensation claims using a risk-free or statutory rate. (See Note 14 of Notes to Consolidated Financial Statements.)

(H) Reinsurance ceded

The unearned portion of premiums ceded to reinsurers is reported as prepaid reinsurance premiums and earned ratably over the policy term. The estimated amounts of reinsurance recoverable on unpaid losses are reported as due from reinsurers. To the extent any reinsurer does not meet its obligations under reinsurance agreements, the Company must discharge its liability. Amounts due from reinsurers are reflected net of funds held where the right of offset is present. The Company has provided an allowance for expected credit losses for estimated uncollectible reinsurance. The allowance is estimated based on the composition of the recoverable balance, considering reinsurer credit ratings, collateral received from financial institutions and funds withheld arrangements, length of collection periods, probability of default methodology, and specific identification of collectability concerns. Changes in the allowance are reported within losses and loss expenses.

(I) Deposit accounting

Contracts that do not meet the risk transfer requirements of GAAP are accounted for using the deposit accounting method. Under this method, an asset or liability is recognized at the inception of the contract based on consideration paid or received. The amount of the deposit asset or liability is adjusted at subsequent reporting dates using the interest method with a corresponding credit or charge to interest income or expense. Deposit liabilities for assumed reinsurance contracts were $33 million and $35 million at December 31, 2022 and 2021, respectively.

(J) Federal and foreign income taxes

The Company files a consolidated income tax return in the U.S. and foreign tax returns in countries where it has overseas operations. The Company's method of accounting for income taxes is the asset and liability method. Under this method, deferred tax assets and liabilities are measured using tax rates currently in effect or expected to apply in the years in which those temporary differences are expected to reverse. Interest and penalties, if any, are reported as income tax expense. The Company believes there are no tax positions that would require disclosure under GAAP. Deferred tax assets are reduced by a valuation allowance if it is more likely than not that all or a portion of the deferred tax assets will not be realized.

(K) Foreign currency

Gains and losses resulting from foreign currency transactions (transactions denominated in a currency other than the entity's functional currency) are reported on the statements of income as other operating costs and expenses. Unrealized gains or losses resulting from translating the results of non-U.S. dollar denominated operations are reported in accumulated other comprehensive income. Revenues and expenses denominated in currencies other than U.S. dollars are generally translated at the weighted average exchange rate during the year. Assets and liabilities are translated at the rate of exchange in effect at the balance sheet date.

(L) Property, furniture and equipment

Property, furniture and equipment are carried at cost less accumulated depreciation. Depreciation is calculated using the estimated useful lives of the respective assets. Depreciation expense was $52 million, $52 million and $53 million for 2022, 2021 and 2020, respectively.

(M) Comprehensive income

Comprehensive income encompasses all changes in stockholders' equity (except those arising from transactions with stockholders) and includes net income, net unrealized holding gains or losses on available for sale securities and unrealized foreign currency translation adjustments.

(N) Goodwill and other intangible assets

Goodwill and other intangible assets are tested for impairment on an annual basis and at interim periods where circumstances require. The Company's impairment test as of December 31, 2022 indicated that there were no material impairment losses related to goodwill and other intangible assets. Intangible assets of $102 million and $85 million are included in other assets as of December 31, 2022 and 2021, respectively.

(O) Restricted stock units

The costs resulting from all share-based payment transactions with employees are recognized in the consolidated financial statements using a fair-value-based measurement method. Compensation cost is recognized for financial reporting purposes over the period in which the employee is required to provide service in exchange for the award (generally the vesting period).

(P) Statements of cash flows

Interest payments were $138 million, $141 million and $155 million in 2022, 2021 and 2020, respectively. Income taxes paid were $295 million, $244 million and $103 million in 2022, 2021 and 2020, respectively. Other non-cash items include unrealized investment gains and losses. (See Note 11 of Notes to Consolidated Financial Statements.)

(Q) Recent accounting pronouncements

Recently adopted accounting pronouncements:

All accounting and reporting standards that became effective in 2022 were either not applicable to the Company or their adoption did not have a material impact on the Company.

Accounting and reporting standards that are not yet effective:

All recently issued but not yet effective accounting and reporting standards are either not applicable to the Company or are not expected to have a material impact on the Company.

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Acquisitions

12 Months Ended

Dec. 31, 2022

Business Combination and Asset Acquisition [Abstract]

Acquisitions

Acquisitions

In March 2022, the Company acquired an 80.0% ownership interest for $51.1 million in a company engaged in residential and commercial textiles. The fair value of the assets acquired and liabilities assumed have been estimated based on a third party valuation.

    The following table summarizes the estimated fair value of net assets acquired and liabilities assumed for the business combination completed in 2022:

(In thousands)	2022
Cash and cash equivalents	$	1,564
Real estate, furniture and equipment	6,000
Intangible assets	25,600
Goodwill	15,857
Other assets	20,349
Total assets acquired	69,370
Other liabilities assumed	(12,420)
Noncontrolling interest	(5,814)
Net assets acquired	$	51,136

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Consolidated Statement of Comprehensive Income

12 Months Ended

Dec. 31, 2022

Equity [Abstract]

Consolidated Statement of Comprehensive Income

Consolidated Statements of Comprehensive (Loss) Income

The following tables present the components of the changes in accumulated other comprehensive (loss) income as of and for the years ended December 31, 2022 and 2021:

(In thousands)
December 31, 2022	Unrealized Investment (Losses) Gains			Currency Translation Adjustments		Accumulated Other Comprehensive Loss
Changes in AOCI
Beginning of period	$	90,900		$	(372,855)	$	(281,955)
Other comprehensive (loss) income before reclassifications	(1,054,838)			1,179		(1,053,659)
Amounts reclassified from AOCI	71,035			—		71,035
Other comprehensive (loss) income	(983,803)			1,179		(982,624)
Unrealized investment loss related to noncontrolling interest	(2)			—		(2)
Ending balance	$	(892,905)		$	(371,676)	$	(1,264,581)
Amounts reclassified from AOCI
Pre-tax	$	89,918	(1)	$	—	$	89,918
Tax effect	(18,883)		(2)	—		(18,883)
After-tax amounts reclassified	$	71,035		$	—	$	71,035
Other comprehensive (loss) income
Pre-tax	$	(1,248,128)		$	1,179	$	(1,246,949)
Tax effect	264,325			—		264,325
Other comprehensive (loss) income	$	(983,803)		$	1,179	$	(982,624)

(In thousands)
December 31, 2021	Unrealized Investment Gains (Losses)			Currency Translation Adjustments		Accumulated Other Comprehensive Loss
Changes in AOCI
Beginning of period	$	289,714		$	(351,886)	$	(62,172)
Other comprehensive loss before reclassifications	(222,359)			(20,969)		(243,328)
Amounts reclassified from AOCI	23,547			—		23,547
Other comprehensive loss	(198,812)			(20,969)		(219,781)
Unrealized investment loss related to non-controlling interest	(2)			—		(2)
Ending balance	$	90,900		$	(372,855)	$	(281,955)
Amounts reclassified from AOCI
Pre-tax	$	29,806	(1)	$	—	$	29,806
Tax effect	(6,259)		(2)	—		(6,259)
After-tax amounts reclassified	$	23,547		$	—	$	23,547
Other comprehensive loss
Pre-tax	$	(254,939)		$	(20,969)	$	(275,908)
Tax effect	56,127			—		56,127
Other comprehensive loss	$	(198,812)		$	(20,969)	$	(219,781)

_______________

(1) Net investment gains in the consolidated statements of income.

(2) Income tax expense in the consolidated statements of income.

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Investments In Fixed Maturity Securities

12 Months Ended

Dec. 31, 2022

Schedule of Marketable Securities [Line Items]

Investments In Fixed Maturity Securities

Investments in Fixed Maturity Securities

At December 31, 2022 and 2021, investments in fixed maturity securities were as follows:

(In thousands)	Amortized Cost		Allowance for Expected Credit Losses (1)		Gross Unrealized				Fair Value		Carrying Value
					Gains		Losses
December 31, 2022
Held to maturity:
State and municipal	$	47,802	$	(114)	$	4,239	$	—	$	51,927	$	47,688
Residential mortgage-backed	3,608		—		38		—		3,646		3,608
Total held to maturity	51,410		(114)		4,277		—		55,573		51,296
Available for sale:
U.S. government and government agency	960,479		—		937		(69,158)		892,258		892,258
State and municipal:
Special revenue	1,837,309		—		3,662		(119,474)		1,721,497		1,721,497
State general obligation	387,709		—		2,651		(21,335)		369,025		369,025
Pre-refunded	156,106		—		2,741		(7)		158,840		158,840
Corporate backed	210,228		—		334		(10,923)		199,639		199,639
Local general obligation	454,983		—		2,967		(16,853)		441,097		441,097
Total state and municipal	3,046,335		—		12,355		(168,592)		2,890,098		2,890,098
Mortgage-backed securities:
Residential	1,308,019		(18)		395		(171,595)		1,136,801		1,136,801
Commercial	547,757		—		215		(19,363)		528,609		528,609
Total mortgage-backed securities	1,855,776		(18)		610		(190,958)		1,665,410		1,665,410
Asset-backed securities	4,132,365		—		2,730		(152,322)		3,982,773		3,982,773
Corporate:
Industrial	3,491,645		(1,704)		4,439		(241,381)		3,252,999		3,252,999
Financial	2,585,247		(2,997)		5,505		(117,383)		2,470,372		2,470,372
Utilities	586,066		—		1,307		(36,325)		551,048		551,048
Other	441,230		—		—		(11,657)		429,573		429,573
Total corporate	7,104,188		(4,701)		11,251		(406,746)		6,703,992		6,703,992
Foreign government	1,564,930		(32,633)		4,283		(135,058)		1,401,522		1,401,522
Total available for sale	18,664,073		(37,352)		32,166		(1,122,834)		17,536,053		17,536,053
Total investments in fixed maturity securities	$	18,715,483	$	(37,466)	$	36,443	$	(1,122,834)	$	17,591,626	$	17,587,349

(In thousands)	Amortized Cost		Allowance for Expected Credit Losses (1)		Gross Unrealized				Fair Value		Carrying Value
					Gains		Losses
December 31, 2021
Held to maturity:
State and municipal	$	69,539	$	(387)	$	10,813	$	—	$	79,965	$	69,152
Residential mortgage-backed	4,829		—		632		—		5,461		4,829
Total held to maturity	74,368		(387)		11,445		—		85,426		73,981
Available for sale:
U.S. government and government agency	851,128		—		8,509		(4,294)		855,343		855,343
State and municipal:
Special revenue	2,016,382		—		62,961		(5,706)		2,073,637		2,073,637
State general obligation	388,110		—		23,152		(1,015)		410,247		410,247
Pre-refunded	202,633		—		14,891		(574)		216,950		216,950
Corporate backed	166,943		—		7,191		(1,532)		172,602		172,602
Local general obligation	401,974		—		29,455		(732)		430,697		430,697
Total state and municipal	3,176,042		—		137,650		(9,559)		3,304,133		3,304,133
Mortgage-backed securities:
Residential	940,744		—		9,896		(11,321)		939,319		939,319
Commercial	125,709		—		3,388		(341)		128,756		128,756
Total mortgage-backed securities	1,066,453		—		13,284		(11,662)		1,068,075		1,068,075
Asset-backed securities	4,504,950		—		4,409		(18,794)		4,490,565		4,490,565
Corporate:
Industrial	3,231,520		(16)		62,751		(21,092)		3,273,163		3,273,163
Financial	1,739,282		—		30,709		(6,591)		1,763,400		1,763,400
Utilities	396,242		—		13,262		(3,202)		406,302		406,302
Other	154,210		—		125		(1,525)		152,810		152,810
Total corporate	5,521,254		(16)		106,847		(32,410)		5,595,675		5,595,675
Foreign government	1,277,109		(22,222)		7,508		(47,494)		1,214,901		1,214,901
Total available for sale	16,396,936		(22,238)		278,207		(124,213)		16,528,692		16,528,692
Total investments in fixed maturity securities	$	16,471,304	$	(22,625)	$	289,652	$	(124,213)	$	16,614,118	$	16,602,673

——————————

(1) Represents the amount of impairment that has resulted from credit-related factors. The change in the allowance for expected credit losses is recognized in the consolidated statements of income. Amount excludes unrealized losses relating to non-credit factors.

The following table presents the rollforward of the allowance for expected credit losses for held to maturity securities for the years ended December 31, 2022 and 2021:

	State and Municipal
(In thousands)	2022		2021
Allowance for expected credit losses, beginning of period	$	387	$	798
Change in allowance for expected credit losses	(273)		(411)
Allowance for expected credit losses, end of period	$	114	$	387

The following table presents the rollforward of the allowance for expected credit losses for available for sale securities for the years ended December 31, 2022 and 2021:

	2022								2021
(In thousands)	Foreign Government		Corporate		Mortgage- Backed		Total		Foreign Government		Corporate		Total
Allowance for expected credit losses, beginning of period	$	22,222	$	16	$	—	$	22,238	$	1,264	$	518	$	1,782
Expected credit losses on securities for which credit losses were not previously recorded	1,910		2,648		21		4,579		19,072		16		19,088
Expected credit losses (gains) on securities for which credit losses were previously recorded	8,534		2,042		(3)		10,573		2,438		(513)		1,925
Reduction due to disposals	(33)		(5)		—		(38)		(552)		(5)		(557)
Allowance for expected credit losses, end of period	$	32,633	$	4,701	$	18	$	37,352	$	22,222	$	16	$	22,238

During the year ended December 31, 2022, the Company increased the allowance for expected credit losses for available for sale securities utilizing its credit loss assessment process and inputs used in its credit loss model due to an increase in unrealized losses primarily associated with foreign government securities. During the year ended December 31, 2021, the Company increased the allowance for expected credit losses primarily due to foreign government securities that had no reserve in prior periods.

The amortized cost and fair value of fixed maturity securities at December 31, 2022, by contractual maturity, are shown below. Actual maturities may differ from contractual maturities because certain issuers may have the right to call or prepay obligations.

(In thousands)	Amortized Cost (1)		Fair Value
Due in one year or less	$	1,570,480	$	1,527,090
Due after one year through five years	8,746,271		8,299,945
Due after five years through ten years	4,395,236		4,119,772
Due after ten years	2,143,998		1,975,763
Mortgage-backed securities	1,859,384		1,669,056
Total	$	18,715,369	$	17,591,626

________________

(1) Amortized cost is reduced by the allowance for expected credit losses of $114 thousand related to held to maturity securities.    

At December 31, 2022 and 2021, there were no investments, other than investments in United States government and government agency securities, which exceeded 10% of common stockholders’ equity. At December 31, 2022, investments with a carrying value of $1,910 million were on deposit in custodial or trust accounts, of which $1,218 million was on deposit with insurance regulators, $656 million was on deposit in support of the Company’s underwriting activities at Lloyd’s, $31 million was on deposit as security for reinsurance clients and $5 million was on deposit as security for letters of credit issued in support of the Company’s reinsurance operations.

Investments in Equity Securities

At December 31, 2022 and 2021, investments in equity securities were as follows:

(In thousands)	Cost		Gross Unrealized				Fair Value		Carrying Value
			Gains		Losses
December 31, 2022
Common stocks	$	855,987	$	192,165	$	(65,401)	$	982,751	$	982,751
Preferred stocks	259,341		1,053		(57,251)		203,143		203,143
Total	$	1,115,328	$	193,218	$	(122,652)	$	1,185,894	$	1,185,894
December 31, 2021
Common stocks	$	619,896	$	92,401	$	(16,894)	$	695,403	$	695,403
Preferred stocks	250,149		7,874		(12,183)		245,840		245,840
Total	$	870,045	$	100,275	$	(29,077)	$	941,243	$	941,243

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Investments In Equity Securities

12 Months Ended

Dec. 31, 2022

Investments, Debt and Equity Securities [Abstract]

Investments in Equity Securities

Investments in Fixed Maturity Securities

At December 31, 2022 and 2021, investments in fixed maturity securities were as follows:

(In thousands)	Amortized Cost		Allowance for Expected Credit Losses (1)		Gross Unrealized				Fair Value		Carrying Value
					Gains		Losses
December 31, 2022
Held to maturity:
State and municipal	$	47,802	$	(114)	$	4,239	$	—	$	51,927	$	47,688
Residential mortgage-backed	3,608		—		38		—		3,646		3,608
Total held to maturity	51,410		(114)		4,277		—		55,573		51,296
Available for sale:
U.S. government and government agency	960,479		—		937		(69,158)		892,258		892,258
State and municipal:
Special revenue	1,837,309		—		3,662		(119,474)		1,721,497		1,721,497
State general obligation	387,709		—		2,651		(21,335)		369,025		369,025
Pre-refunded	156,106		—		2,741		(7)		158,840		158,840
Corporate backed	210,228		—		334		(10,923)		199,639		199,639
Local general obligation	454,983		—		2,967		(16,853)		441,097		441,097
Total state and municipal	3,046,335		—		12,355		(168,592)		2,890,098		2,890,098
Mortgage-backed securities:
Residential	1,308,019		(18)		395		(171,595)		1,136,801		1,136,801
Commercial	547,757		—		215		(19,363)		528,609		528,609
Total mortgage-backed securities	1,855,776		(18)		610		(190,958)		1,665,410		1,665,410
Asset-backed securities	4,132,365		—		2,730		(152,322)		3,982,773		3,982,773
Corporate:
Industrial	3,491,645		(1,704)		4,439		(241,381)		3,252,999		3,252,999
Financial	2,585,247		(2,997)		5,505		(117,383)		2,470,372		2,470,372
Utilities	586,066		—		1,307		(36,325)		551,048		551,048
Other	441,230		—		—		(11,657)		429,573		429,573
Total corporate	7,104,188		(4,701)		11,251		(406,746)		6,703,992		6,703,992
Foreign government	1,564,930		(32,633)		4,283		(135,058)		1,401,522		1,401,522
Total available for sale	18,664,073		(37,352)		32,166		(1,122,834)		17,536,053		17,536,053
Total investments in fixed maturity securities	$	18,715,483	$	(37,466)	$	36,443	$	(1,122,834)	$	17,591,626	$	17,587,349

(In thousands)	Amortized Cost		Allowance for Expected Credit Losses (1)		Gross Unrealized				Fair Value		Carrying Value
					Gains		Losses
December 31, 2021
Held to maturity:
State and municipal	$	69,539	$	(387)	$	10,813	$	—	$	79,965	$	69,152
Residential mortgage-backed	4,829		—		632		—		5,461		4,829
Total held to maturity	74,368		(387)		11,445		—		85,426		73,981
Available for sale:
U.S. government and government agency	851,128		—		8,509		(4,294)		855,343		855,343
State and municipal:
Special revenue	2,016,382		—		62,961		(5,706)		2,073,637		2,073,637
State general obligation	388,110		—		23,152		(1,015)		410,247		410,247
Pre-refunded	202,633		—		14,891		(574)		216,950		216,950
Corporate backed	166,943		—		7,191		(1,532)		172,602		172,602
Local general obligation	401,974		—		29,455		(732)		430,697		430,697
Total state and municipal	3,176,042		—		137,650		(9,559)		3,304,133		3,304,133
Mortgage-backed securities:
Residential	940,744		—		9,896		(11,321)		939,319		939,319
Commercial	125,709		—		3,388		(341)		128,756		128,756
Total mortgage-backed securities	1,066,453		—		13,284		(11,662)		1,068,075		1,068,075
Asset-backed securities	4,504,950		—		4,409		(18,794)		4,490,565		4,490,565
Corporate:
Industrial	3,231,520		(16)		62,751		(21,092)		3,273,163		3,273,163
Financial	1,739,282		—		30,709		(6,591)		1,763,400		1,763,400
Utilities	396,242		—		13,262		(3,202)		406,302		406,302
Other	154,210		—		125		(1,525)		152,810		152,810
Total corporate	5,521,254		(16)		106,847		(32,410)		5,595,675		5,595,675
Foreign government	1,277,109		(22,222)		7,508		(47,494)		1,214,901		1,214,901
Total available for sale	16,396,936		(22,238)		278,207		(124,213)		16,528,692		16,528,692
Total investments in fixed maturity securities	$	16,471,304	$	(22,625)	$	289,652	$	(124,213)	$	16,614,118	$	16,602,673

——————————

(1) Represents the amount of impairment that has resulted from credit-related factors. The change in the allowance for expected credit losses is recognized in the consolidated statements of income. Amount excludes unrealized losses relating to non-credit factors.

The following table presents the rollforward of the allowance for expected credit losses for held to maturity securities for the years ended December 31, 2022 and 2021:

	State and Municipal
(In thousands)	2022		2021
Allowance for expected credit losses, beginning of period	$	387	$	798
Change in allowance for expected credit losses	(273)		(411)
Allowance for expected credit losses, end of period	$	114	$	387

The following table presents the rollforward of the allowance for expected credit losses for available for sale securities for the years ended December 31, 2022 and 2021:

	2022								2021
(In thousands)	Foreign Government		Corporate		Mortgage- Backed		Total		Foreign Government		Corporate		Total
Allowance for expected credit losses, beginning of period	$	22,222	$	16	$	—	$	22,238	$	1,264	$	518	$	1,782
Expected credit losses on securities for which credit losses were not previously recorded	1,910		2,648		21		4,579		19,072		16		19,088
Expected credit losses (gains) on securities for which credit losses were previously recorded	8,534		2,042		(3)		10,573		2,438		(513)		1,925
Reduction due to disposals	(33)		(5)		—		(38)		(552)		(5)		(557)
Allowance for expected credit losses, end of period	$	32,633	$	4,701	$	18	$	37,352	$	22,222	$	16	$	22,238

During the year ended December 31, 2022, the Company increased the allowance for expected credit losses for available for sale securities utilizing its credit loss assessment process and inputs used in its credit loss model due to an increase in unrealized losses primarily associated with foreign government securities. During the year ended December 31, 2021, the Company increased the allowance for expected credit losses primarily due to foreign government securities that had no reserve in prior periods.

The amortized cost and fair value of fixed maturity securities at December 31, 2022, by contractual maturity, are shown below. Actual maturities may differ from contractual maturities because certain issuers may have the right to call or prepay obligations.

(In thousands)	Amortized Cost (1)		Fair Value
Due in one year or less	$	1,570,480	$	1,527,090
Due after one year through five years	8,746,271		8,299,945
Due after five years through ten years	4,395,236		4,119,772
Due after ten years	2,143,998		1,975,763
Mortgage-backed securities	1,859,384		1,669,056
Total	$	18,715,369	$	17,591,626

________________

(1) Amortized cost is reduced by the allowance for expected credit losses of $114 thousand related to held to maturity securities.    

At December 31, 2022 and 2021, there were no investments, other than investments in United States government and government agency securities, which exceeded 10% of common stockholders’ equity. At December 31, 2022, investments with a carrying value of $1,910 million were on deposit in custodial or trust accounts, of which $1,218 million was on deposit with insurance regulators, $656 million was on deposit in support of the Company’s underwriting activities at Lloyd’s, $31 million was on deposit as security for reinsurance clients and $5 million was on deposit as security for letters of credit issued in support of the Company’s reinsurance operations.

Investments in Equity Securities

At December 31, 2022 and 2021, investments in equity securities were as follows:

(In thousands)	Cost		Gross Unrealized				Fair Value		Carrying Value
			Gains		Losses
December 31, 2022
Common stocks	$	855,987	$	192,165	$	(65,401)	$	982,751	$	982,751
Preferred stocks	259,341		1,053		(57,251)		203,143		203,143
Total	$	1,115,328	$	193,218	$	(122,652)	$	1,185,894	$	1,185,894
December 31, 2021
Common stocks	$	619,896	$	92,401	$	(16,894)	$	695,403	$	695,403
Preferred stocks	250,149		7,874		(12,183)		245,840		245,840
Total	$	870,045	$	100,275	$	(29,077)	$	941,243	$	941,243

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Arbitrage Trading Account

12 Months Ended

Dec. 31, 2022

Trading Securities and Derivative Instruments [Abstract]

Arbitrage Trading Account

Arbitrage Trading Account

At December 31, 2022 and 2021, the fair value and carrying value of the arbitrage trading account were $944 million and $1,180 million, respectively. The primary focus of the trading account is merger arbitrage. Merger arbitrage is the business of investing in the securities of publicly held companies which are the targets in announced tender offers and mergers. Arbitrage investing differs from other types of investing in its focus on transactions and events believed likely to bring about a change in value over a relatively short time period (usually four months or less).

The Company uses put options and call options in order to mitigate the impact of potential changes in market conditions on the merger arbitrage trading account. These options are reported at fair value. As of December 31, 2022, the fair value of short option contracts outstanding was $0.1 thousand (notional amount of $10 thousand). Other than with respect to the use of these trading account securities, the Company does not make use of derivatives.

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Net Investment Income

12 Months Ended

Dec. 31, 2022

Net Investment Income [Abstract]

Net Investment Income

Net Investment Income

Net investment income consists of the following:

(In thousands)	2022		2021		2020
Investment income (loss) earned on:
Fixed maturity securities, including cash and cash equivalents and loans receivable	$	549,281	$	382,001	$	426,563
Investment funds	145,099		220,014		54,253
Arbitrage trading account	45,213		37,676		77,931
Real estate	(3,087)		7,703		24,027
Equity securities	52,600		32,020		10,172
Gross investment income	789,106		679,414		592,946
Investment expense	(9,921)		(7,796)		(9,125)
Net investment income	$	779,185	$	671,618	$	583,821

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Investment Funds

12 Months Ended

Dec. 31, 2022

Equity Method Investments and Joint Ventures [Abstract]

Investment Funds

Investment Funds

The Company evaluates whether it is an investor in a variable interest entity ("VIE").  Such entities do not have sufficient equity at risk to finance their activities without additional subordinated financial support, or the equity investors, as a group, do not have the characteristics of a controlling financial interest (primary beneficiary). The Company determines whether it is the primary beneficiary of an entity subject to consolidation based on a qualitative assessment of the VIE's capital structure, contractual terms, nature of the VIE's operations and purpose, and the Company's relative exposure to the related risks of the VIE on the date it becomes initially involved in the VIE and on an ongoing basis. The Company is not the primary beneficiary in any of its investment funds, and accordingly, carries its interests in investments funds under the equity method of accounting.

The Company’s maximum exposure to loss with respect to these investments is limited to the carrying amount reported on the Company’s consolidated balance sheet and its unfunded commitments of $402 million as of December 31, 2022.

Investment funds consist of the following:

	Carrying Value as of December 31,				Income (Loss) From Investment Funds For the Year Ended
(In thousands)	2022		2021		2022		2021		2020
Financial services	$	465,683	$	431,818	$	34,030	$	98,893	$	34,763
Transportation	336,753		336,688		53,180		42,424		(616)
Real estate	204,644		273,690		48,723		29,484		7,543
Energy	116,432		150,224		1,425		22,118		(11,039)
Infrastructure	115,428		12,314		4,603		1,372		1,672
Other funds	369,608		275,878		3,138		25,723		21,930
Total	$	1,608,548	$	1,480,612	$	145,099	$	220,014	$	54,253

The Company's share of the earnings or losses of investment funds is primarily reported on a one-quarter lag in order to facilitate the timely completion of the Company's consolidated financial statements.

Financial services investment funds include the Company’s minority investment in Lifson Re, a Bermuda reinsurance company. Effective January 1, 2021, Lifson Re participated on a fully collateralized basis in a majority of the Company’s reinsurance placements for a 22.5% share of placed amounts. The percentage increased from 22.5% to 30.0% effective July 1, 2022. This pertains to all traditional reinsurance/retrocessional placements for both property and casualty business where there is more than one open market reinsurer participating. For the years ended December 31, 2022 and 2021, the Company ceded approximately $399 million and $245 million, respectively, of written premiums to Lifson Re.

Other funds include deferred compensation trust assets of $30 million and $34 million in 2022 and 2021, respectively. These assets support other liabilities reflected in the balance sheet of an equal amount for employees who have elected to defer a portion of their compensation. The change in the net asset value of the trust is recorded in other funds within net investment income with an offsetting equal amount within corporate expenses.

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Real Estate

12 Months Ended

Dec. 31, 2022

Real Estate [Abstract]

Real Estate

Real Estate

Investment in real estate represents directly owned property held for investment, as follows:    

	As of December 31,
(In thousands)	2022		2021
Properties in operation	$	1,114,167	$	1,626,826
Properties under development	226,455		225,682
Total	$	1,340,622	$	1,852,508

In 2022, properties in operation included a long-term ground lease in Washington, D.C., an office complex in New York City and the completed portion of a mixed-use project in Washington D.C. Properties in operation are net of accumulated depreciation and amortization of $33,206,000 and $57,391,000 as of December 31, 2022 and 2021, respectively. Related

depreciation expense was $12,269,000 and $19,688,000 for the years ended December 31, 2022 and 2021, respectively. Future minimum rental income expected on operating leases relating to properties in operation is $32,282,796 in 2023, $33,528,105 in 2024, $31,015,149 in 2025, $29,250,535 in 2026, $28,334,384 in 2027 and $510,771,307 thereafter.

During the first quarter of 2022, the Company sold a real estate investment in London (proceeds from the real estate and related entity is presented on the business disposition line within the consolidated statements of cash flows).

A mixed-use project in Washington, D.C. had been under development in 2022 and 2021, with the completed portion as noted above reported in properties in operation as of December 31, 2022.

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Loans Receivable

12 Months Ended

Dec. 31, 2022

Receivables [Abstract]

Loans Receivable

Loans Receivable

At December 31, 2022 and 2021, loans receivable were as follows:

	As of December 31,
(In thousands)	2022		2021
Amortized cost (net of allowance for expected credit losses):
Real estate loans	$	173,616	$	89,431
Commercial loans	19,386		25,741
Total	$	193,002	$	115,172
Fair value:
Real estate loans	$	168,595	$	90,793
Commercial loans	19,386		25,741
Total	$	187,981	$	116,534

The real estate loans are secured by commercial and residential real estate primarily located in London and New York. These loans generally earn interest at fixed or stepped interest rates and have maturities through 2026. The commercial loans are with small business owners who have secured the related financing with the assets of the business. Commercial loans primarily earn interest on a fixed basis and have varying maturities generally not exceeding 10 years.

Loans receivable in non-accrual status was none and $0.2 million as of December 31, 2022 and 2021, respectively.

The following table presents the rollforward of the allowance for expected credit losses for loans receivable for the years ended December 31, 2022 and 2021:

	2022						2021
(In thousands)	Real Estate Loans		Commercial Loans		Total		Real Estate Loans		Commercial Loans		Total
Allowance for expected credit losses, beginning of period	$	1,362	$	356	$	1,718	$	1,683	$	3,754	$	5,437
Change in allowance for expected credit losses	(262)		335		73		(321)		(3,398)		(3,719)
Allowance for expected credit losses, end of period	$	1,100	$	691	$	1,791	$	1,362	$	356	$	1,718

The Company monitors the performance of its loans receivable and assesses the ability of the borrower to pay principal and interest based upon loan structure, underlying property values, cash flow and related financial and operating performance of the property and market conditions.

In evaluating the real estate loans, the Company considers their credit quality indicators, including loan to value ratios, which compare the outstanding loan amount to the estimated value of the property, the borrower’s financial condition and performance with respect to loan terms, the position in the capital structure, the overall leverage in the capital structure and other market conditions.

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Net Investment Gains

12 Months Ended

Dec. 31, 2022

Realized and Unrealized Investment Gains (Losses) [Abstract]

Net Investment Gains

Net Investment Gains

Net investment gains were as follows:

(In thousands)	2022		2021		2020
Net investment gains:
Fixed maturity securities:
Gains	$	4,224	$	18,981	$	27,819
Losses	(11,654)		(6,975)		(56,096)
Equity securities (1):
Net realized (losses) gains on investment sales	(12,879)		16,365		32,647
Change in unrealized losses	(632)		(38,455)		(25,868)
Investment funds	12,407		44,778		31,481
Real estate (2)	293,525		94,911		101,554
Loans receivable	(32)		(881)		—
Other	(67,648)		(21,766)		(38,023)
Net realized and unrealized gains on investments in earnings before allowance for expected credit losses	217,311		106,958		73,514
Change in allowance for expected credit losses on investments:
Fixed maturity securities	(14,841)		(20,045)		33,134
Loans receivable	(73)		3,719		(3,648)
Change in allowance for expected credit losses on investments	(14,914)		(16,326)		29,486
Net investment gains	202,397		90,632		103,000
Income tax expense	(42,670)		(17,710)		(21,630)
After-tax net investment gains	$	159,727	$	72,922	$	81,370

Change in unrealized investment (losses) gains:
Fixed maturity securities without allowance for expected credit losses	$	(1,216,292)	$	(262,221)	$	134,129
Fixed maturity securities with allowance for expected credit losses	(28,370)		10,124		32,004
Investment funds	(2,019)		(1,270)		2,280
Other	(1,447)		(1,572)		(3,768)
Total change in unrealized investment (losses) gains	(1,248,128)		(254,939)		164,645
Income tax benefit (expense)	264,325		56,127		(24,395)
Noncontrolling interests	(2)		(2)		(2)
After-tax change in unrealized investment (losses) gains	$	(983,805)	$	(198,814)	$	140,248

____________________

(1) The net realized gains or losses on investment sales represent the total gains or losses from the purchase dates of the equity securities. The change in unrealized (losses) gains consists of two components: (i) the reversal of the gain or loss recognized in previous periods on equity securities sold and (ii) the change in unrealized gain or loss resulting from mark-to-market adjustments on equity securities still held.

(2) During March 2022, the Company realized a gain on the sale of a real estate investment in London, U.K. of $251 million, net of transaction expenses and the foreign currency impact, including the reversal of the currency translation adjustment.

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Fixed Maturity Securities in an Unrealized Loss Position

12 Months Ended

Dec. 31, 2022

Investments, Debt and Equity Securities [Abstract]

Fixed Maturity Securities in an Unrealized Loss Position

Fixed Maturity Securities in an Unrealized Loss Position

The following tables summarize all fixed maturity securities in an unrealized loss position at December 31, 2022 and 2021 by the length of time those securities have been continuously in an unrealized loss position.

	Less Than 12 Months				12 Months or Greater				Total
(In thousands)	Fair Value		Gross Unrealized Losses		Fair Value		Gross Unrealized Losses		Fair Value		Gross Unrealized Losses
December 31, 2022
U.S. government and government agency	$	285,391	$	10,219	$	453,520	$	58,939	$	738,911	$	69,158
State and municipal	1,720,443		89,272		598,797		79,320		2,319,240		168,592
Mortgage-backed securities	1,099,549		75,430		473,318		115,528		1,572,867		190,958
Asset-backed securities	1,569,647		48,390		2,176,638		103,932		3,746,285		152,322
Corporate	3,690,856		150,115		2,349,281		256,631		6,040,137		406,746
Foreign government	477,672		29,815		711,786		105,243		1,189,458		135,058
Fixed maturity securities	$	8,843,558	$	403,241	$	6,763,340	$	719,593	$	15,606,898	$	1,122,834
December 31, 2021
U.S. government and government agency	$	487,712	$	4,026	$	17,021	$	268	$	504,733	$	4,294
State and municipal	502,333		7,403		29,547		2,156		531,880		9,559
Mortgage-backed securities	558,751		6,900		106,130		4,762		664,881		11,662
Asset-backed securities	3,832,944		18,503		75,385		291		3,908,329		18,794
Corporate	2,582,860		29,322		51,095		3,088		2,633,955		32,410
Foreign government	758,975		15,793		82,057		31,701		841,032		47,494
Fixed maturity securities	$	8,723,575	$	81,947	$	361,235	$	42,266	$	9,084,810	$	124,213

Substantially all of the securities in an unrealized loss position are rated investment grade, except for the securities in the foreign government classification. A significant amount of the unrealized loss on foreign government securities is the result of changes in currency exchange rates.

Fixed Maturity Securities — A summary of the Company’s non-investment grade fixed maturity securities that were in an unrealized loss position at December 31, 2022 is presented in the table below:

($ in thousands)	Number of Securities	Aggregate Fair Value		Gross Unrealized Loss
Foreign government	36	$	119,332	$	73,900
Corporate	10	39,347		4,649
State and municipal	1	12,247		2,756
Mortgage-backed securities	14	4,464		269
Asset-backed securities	1	16		10
Total	62	$	175,406	$	81,584

For fixed maturity securities that management does not intend to sell or to be required to sell, the portion of the decline in value that is considered to be due to credit factors is recognized in earnings, and the portion of the decline in value that is considered to be due to non-credit factors is recognized in other comprehensive income.

The Company has evaluated its fixed maturity securities in an unrealized loss position and believes the unrealized losses are due primarily to temporary market and sector-related factors rather than to issuer-specific factors. None of these securities are delinquent or in default under financial covenants. Based on its assessment of these issuers, the Company expects them to continue to meet their contractual payment obligations as they become due.

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Fair Value Measurements

12 Months Ended

Dec. 31, 2022

Fair Value Disclosures [Abstract]

Fair Value Measurements

Fair Value Measurements

The Company’s fixed maturity and equity securities classified as available for sale and its trading account securities are carried at fair value. 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”. The Company utilizes a fair value hierarchy that prioritizes the inputs to valuation techniques used to measure fair value into three broad levels, as follows:

Level 1 - Quoted prices (unadjusted) in active markets for identical assets or liabilities that the Company has the ability to access at the measurement date.  

Level 2 - Quoted prices for similar assets or valuations based on inputs that are observable.     

Level 3 - Estimates of fair value based on internal pricing methodologies using unobservable inputs. Unobservable inputs are only used to measure fair value to the extent that observable inputs are not available.

Substantially all of the Company’s fixed maturity securities were priced by independent pricing services. The prices provided by the independent pricing services are estimated based on observable market data in active markets utilizing pricing models and processes, which may include benchmark yields, reported trades, broker/dealer quotes, issuer spreads, two-sided markets, benchmark securities, bids, offers, sector groupings, matrix pricing and reference data. The pricing services may prioritize inputs differently on any given day for any security based on market conditions, and not all inputs are available for each security evaluation on any given day. The pricing services used by the Company have indicated that they will only produce an estimate of fair value if objectively verifiable information is available. The determination of whether markets are active or inactive is based upon the volume and level of activity for a particular asset class. The Company reviews the prices provided by pricing services for reasonableness and periodically performs independent price tests of a sample of securities to ensure proper valuation.

If prices from independent pricing services are not available for fixed maturity securities, the Company estimates the fair value. For Level 2 securities, the Company utilizes pricing models and processes which may include benchmark yields, sector groupings, matrix pricing, reported trades, broker/dealer quotes, issuer spreads, two-sided markets, bids, offers and reference data. Where broker quotes are used, the Company generally requests two or more quotes and sets a price within the range of quotes received based on its assessment of the credibility of the quote and its own evaluation of the security. The Company generally does not adjust quotes received from brokers. For securities traded only in private negotiations, the Company determines fair value based primarily on the cost of such securities, which is adjusted to reflect prices of recent placements of securities of the same issuer, financial projections, credit quality and business developments of the issuer and other relevant information.

For Level 3 securities, the Company generally uses a discounted cash flow model to estimate the fair value of fixed maturity securities. The cash flow models are based upon assumptions as to prevailing credit spreads, interest rate and interest rate volatility, time to maturity and subordination levels. Projected cash flows are discounted at rates that are adjusted to reflect illiquidity, where appropriate.

The following tables present the assets and liabilities measured at fair value as of December 31, 2022 and 2021 by level:

(In thousands)	Total		Level 1		Level 2		Level 3
December 31, 2022
Assets:
Fixed maturity securities available for sale:
U.S. government and government agency	$	892,258	$	—	$	892,258	$	—
State and municipal	2,890,098		—		2,890,098		—
Mortgage-backed securities	1,665,410		—		1,665,410		—
Asset-backed securities	3,982,773		—		3,982,773		—
Corporate	6,703,992		—		6,703,992
Foreign government	1,401,522		—		1,401,522		—
Total fixed maturity securities available for sale	17,536,053		—		17,536,053		—
Equity securities:
Common stocks	982,751		978,991		1,161		2,599
Preferred stocks	203,143		—		191,844		11,299
Total equity securities	1,185,894		978,991		193,005		13,898
Arbitrage trading account	944,230		822,192		118,448		3,590
Total	$	19,666,177	$	1,801,183	$	17,847,506	$	17,488
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	—	$	—	$	—
December 31, 2021
Assets:
Fixed maturity securities available for sale:
U.S. government and government agency	$	855,343	$	—	$	855,343	$	—
State and municipal	3,304,133		—		3,304,133		—
Mortgage-backed securities	1,068,075		—		1,068,075		—
Asset-backed securities	4,490,565		—		4,490,565		—
Corporate	5,595,675		—		5,595,675		—
Foreign government	1,214,901		—		1,214,901		—
Total fixed maturity securities available for sale	16,528,692		—		16,528,692		—
Equity securities:
Common stocks	695,403		684,470		1,639		9,294
Preferred stocks	245,840		—		234,544		11,296
Total equity securities	941,243		684,470		236,183		20,590
Arbitrage trading account	1,179,606		1,153,079		26,527		—
Total	$	18,649,541	$	1,837,549	$	16,791,402	$	20,590
Liabilities:
Trading account securities sold but not yet purchased	$	1,169	$	1,137	$	32	$	—

The following tables summarize changes in Level 3 assets and liabilities for the years ended December 31, 2022 and 2021:

	Gains (Losses) Included in:
(In thousands)	Beginning Balance		Earnings (Losses)		Other Comprehensive Income (Losses)		Impairments		Purchases		Sales		Paydowns/Maturities		Transfers In / Out		Ending Balance
Year ended December 31, 2022
Assets:
Fixed maturity securities available for sale:
Corporate	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—
Total	—		—		—		—		—		—		—		—		—
Equity securities:
Common stocks	9,294		(6,695)		—		—		—		—		—		—		2,599
Preferred stocks	11,296		3		—		—		925		(925)		—		—		11,299
Total	20,590		(6,692)		—		—		925		(925)		—		—		13,898
Arbitrage trading account	—		(179)		—		—		4,685		(917)		—		1		3,590
Total	$	20,590	$	(6,871)	$	—	$	—	$	5,610	$	(1,842)	$	—	$	1	$	17,488
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—
Year ended December 31, 2021
Assets:
Fixed maturity securities available for sale:
Corporate	$	1,000	$	—	$	—	$	—	$	—	$	(1,000)	$	—	$	—	$	—
Total	1,000		—		—		—		—		(1,000)		—		—		—
Equity securities:
Common stocks	9,215		640		—		—		—		(561)		—		—		9,294
Preferred stocks	9,331		(35)		—		—		2,000		—		—		—		11,296
Total	18,546		605		—		—		2,000		(561)		—		—		20,590
Arbitrage trading account	—		8		—		—		—		(8)		—		—		—
Total	$	19,546	$	613	$	—	$	—	$	2,000	$	(1,569)	$	—	$	—	$	20,590
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	1	$	—	$	—	$	(1)	$	—	$	—	$	—	$	—

For the years ended December 31, 2022 and 2021, there were no fixed maturity security transferred into or out of Level 3.Fair Value of Financial Instruments

The following table presents the carrying amounts and estimated fair values of the Company’s financial instruments as of December 31, 2022 and 2021:

	2022				2021
(In thousands)	Carrying Value		Fair Value		Carrying Value		Fair Value
Assets:
Fixed maturity securities	$	17,587,349	$	17,591,626	$	16,602,673	$	16,614,118
Equity securities	1,185,894		1,185,894		941,243		941,243
Arbitrage trading account	944,230		944,230		1,179,606		1,179,606
Loans receivable	193,002		187,981		115,172		116,534
Cash and cash equivalents	1,449,346		1,449,346		1,568,843		1,568,843
Trading accounts receivable from brokers and clearing organizations	233,863		233,863		—		—
Due from broker	3,609		3,609		20,448		20,448
Liabilities:
Due to broker	—		—		53,636		53,636
Trading account securities sold but not yet purchased	—		—		1,169		1,169
Senior notes and other debt	1,828,823		1,439,188		2,259,416		2,526,630
Subordinated debentures	1,008,371		805,600		1,007,652		1,095,600

The estimated fair values of the Company’s fixed maturity securities, equity securities available for sale and arbitrage trading account securities are based on various valuation techniques that rely on fair value measurements as described in Note 13 above. The fair value of loans receivable is estimated by using current institutional purchaser yield requirements for loans with similar credit characteristics, which is considered a Level 2 input. The fair value of the senior notes and other debt and the subordinated debentures is based on spreads for similar securities, which is considered a Level 2 input.

XML

Reserves For Losses And Loss Expenses

12 Months Ended

Dec. 31, 2022

Insurance [Abstract]

Reserves For Losses And Loss Expenses

Reserves for Losses and Loss Expenses

The Company's reserves for losses and loss expenses are comprised of case reserves and incurred but not reported liabilities (IBNR). When a claim is reported, a case reserve is established for the estimated ultimate payment based upon known information about the claim. As more information about the claim becomes available over time, case reserves are adjusted up or down as appropriate. Reserves are also established on an aggregate basis to provide for IBNR liabilities and expected loss reserve development on reported claims.

Loss reserves included in the Company’s financial statements represent management’s best estimates based upon an actuarially derived point estimate and other considerations. The Company uses a variety of actuarial techniques and methods to derive an actuarial point estimate for each business. These methods may include paid loss development, incurred loss development, paid and incurred Bornhuetter-Ferguson methods and frequency and severity methods. In circumstances where one actuarial method is considered more credible than the others, that method is used to set the point estimate. The actuarial point estimate may also be based on a judgmental weighting of estimates produced from each of the methods considered. Industry loss experience is used to supplement the Company’s own data in selecting “tail factors” in areas where the Company’s own data is limited. The actuarial data is analyzed by line of business, coverage and accident or policy year, as appropriate, for each business.

The establishment of the actuarially derived loss reserve point estimate also includes consideration of qualitative factors that may affect the ultimate losses. These qualitative considerations include, among others, the impact of re-underwriting initiatives, changes in claims handling procedures, changes in the mix of business, changes in distribution sources and changes in policy terms and conditions.

The key assumptions used to arrive at the best estimate of loss reserves are the expected loss ratios, rate of loss cost inflation, and reported and paid loss emergence patterns. Expected loss ratios represent management’s expectation of losses at the time the business is priced and written, before any actual claims experience has emerged. This expectation is a significant determinant of the estimate of loss reserves for recently written business where there is little paid or incurred loss data to consider. Expected loss ratios are generally derived from historical loss ratios adjusted for the impact of rate changes, loss cost trends and known changes in the type of risks underwritten. Expected loss ratios are estimated for each key line of business within each business. Expected loss cost inflation is particularly important for the long-tail lines, such as excess casualty, and claims with a high medical component, such as workers’ compensation. Reported and paid loss emergence patterns are used to project current reported or paid loss amounts to their ultimate settlement value. Loss development factors are based on the historical emergence patterns of paid and incurred losses, and are derived from the Company’s own experience and industry data. The paid loss emergence pattern is also significant to excess and assumed workers’ compensation reserves because those reserves are discounted to their estimated present value based upon such estimated payout patterns.

Loss frequency and severity are measures of loss activity that are considered in determining the key assumptions described in our discussion of loss and loss expense reserves, including expected loss ratios, rate of loss cost inflation and reported and paid loss emergence patterns. Loss frequency is a measure of the number of claims per unit of insured exposure, and loss severity is a measure of the average size of claims. Factors affecting loss frequency include the effectiveness of loss controls and safety programs and changes in economic activity or weather patterns. Factors affecting loss severity include changes in policy limits, retentions, rate of inflation and judicial interpretations.

Another factor affecting estimates of loss frequency and severity is the loss reporting lag, which is the period of time between the occurrence of a loss and the date the loss is reported to the Company. The length of the loss reporting lag affects our ability to accurately predict loss frequency (loss frequencies are more predictable for lines with short reporting lags) as well as the amount of reserves needed for incurred but not reported losses (less IBNR is required for lines with short reporting lags). As a result, loss reserves for lines with short reporting lags are likely to have less variation from initial loss estimates. For lines with short reporting lags, which include commercial automobile, primary workers’ compensation, other liability (claims-made) and property business, the key assumption is the loss emergence pattern used to project ultimate loss estimates from known losses paid or reported to date. For lines of business with long reporting lags, which include other liability (occurrence), products liability, excess workers’ compensation and liability reinsurance, the key assumption is the expected loss ratio since there is often little paid or incurred loss data to consider. Historically, the Company has experienced less variation from its initial loss estimates for lines of businesses with short reporting lags than for lines of business with long reporting lags.

The key assumptions used in calculating the most recent estimate of the loss reserves are reviewed each quarter and adjusted, to the extent necessary, to reflect the latest reported loss data, current trends and other factors observed.

A claim may be defined as an event, as a claimant (number of parties claiming damages from an event) or by exposure type (e.g., an event may give rise to two parties, each claiming loss for bodily injury and property damage).

The most commonly used claim count method is by event. Most of the Company's businesses use the number of events to define and quantify the number of claims. However, in certain lines of business, where it is common for multiple parties to claim damages arising from a single event, a business may quantify claims on the basis of the number of separate parties involved in an event. This may be the case with businesses writing substantial automobile or transportation exposure.

Claim counts for assumed reinsurance will vary based on whether the business is written on a facultative or treaty basis. Further variability as respects treaty claim counts may be reflective of the nature of the treaty, line of business coverage, and type of participation such as quota share or excess of loss contracts. Accordingly, the claim counts have been excluded from the below Reinsurance & Monoline Excess segment tables due to this variability.

The claim count information set forth in the tables presented below may not provide an accurate reflection of ultimate loss payouts by product line.

The following tables present undiscounted incurred and paid claims development as of December 31, 2022, net of reinsurance, as well as cumulative claim frequency and the total of incurred but not reported liabilities (IBNR). The information about incurred and paid claims development for the years ended December 31, 2013 to 2021 is presented as supplementary information. To enhance the comparability of the loss development data, the Company has removed the impact of foreign exchange rate movements by using the December 31, 2022 exchange rate for all periods.

Insurance

Other Liability

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	749,261	$	788,581	$	779,908	$	779,706	$	800,593	$	806,914	$	801,689	$	805,915	$	807,998	$	809,358	$	21,362	26
2014			844,832		845,564		843,501		848,138		861,313		867,400		862,749		861,382		862,630		35,808		28
2015					948,389		984,262		958,734		961,761		964,301		974,345		981,071		1,010,796		55,430		27
2016							1,016,106		1,009,051		1,018,253		1,029,821		1,043,948		1,059,897		1,091,569		96,310		28
2017									1,065,550		1,099,396		1,121,833		1,138,785		1,178,604		1,249,129		142,974		28
2018											1,103,900		1,131,549		1,121,317		1,156,157		1,232,803		181,880		27
2019													1,240,560		1,237,336		1,237,824		1,294,681		292,625		28
2020															1,339,565		1,212,790		1,158,880		489,718		22
2021																	1,534,580		1,390,790		841,854		23
2022																			1,823,680		1,507,284		20
Total																			$	11,924,316

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	63,243	$	188,023	$	330,127	$	470,566	$	585,608	$	646,257	$	691,495	$	717,908	$	738,858	$	761,461
2014			78,705		190,419		337,426		478,924		592,828		678,490		728,718		758,098		781,533
2015					82,638		210,151		381,328		536,855		674,665		755,641		814,191		872,657
2016							69,407		208,828		389,862		557,998		676,735		766,515		870,981
2017									79,887		255,603		453,097		638,934		774,738		930,630
2018											86,798		264,299		435,729		615,753		806,869
2019													88,195		275,343		471,239		704,928
2020															72,232		225,068		423,283
2021																	76,612		267,685
2022																			93,519
Total																			$	6,513,546
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		125,357
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	5,536,127

Workers' Compensation

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	552,570	$	547,295	$	546,995	$	543,238	$	547,000	$	542,274	$	541,926	$	540,322	$	538,503	$	534,948	$	11,473	53
2014			639,436		637,307		627,767		617,242		615,435		604,030		600,194		602,000		598,977		21,528		57
2015					712,800		690,525		650,997		641,169		626,432		620,741		617,478		612,687		29,213		58
2016							702,716		696,339		684,700		660,520		651,278		657,972		654,385		36,834		58
2017									762,093		733,505		689,622		673,216		683,880		682,153		41,944		58
2018											778,964		724,697		715,055		724,056		721,170		43,766		56
2019													784,281		721,018		732,762		734,034		67,254		54
2020															725,245		716,430		704,008		96,322		42
2021																	742,687		701,703		149,447		45
2022																			772,620		348,348		41
Total																			$	6,716,685

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	117,900	$	277,538	$	363,028	$	414,160	$	447,894	$	466,580	$	479,104	$	489,075	$	496,809	$	502,181
2014			148,405		319,743		412,611		471,235		503,915		521,141		531,475		538,914		547,894
2015					139,320		323,744		421,734		477,541		512,933		531,512		544,849		557,215
2016							142,998		338,835		446,072		504,850		537,861		558,934		572,669
2017									153,456		362,299		468,817		525,753		559,198		583,258
2018											171,006		397,464		508,546		574,889		613,675
2019													184,715		397,376		515,914		581,003
2020															172,478		380,454		485,203
2021																	172,729		384,867
2022																			180,982
Total																			$	5,008,947
			Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																214,233
			Reserves for loss and loss adjustment expenses, net of reinsurance																$	1,921,971

Professional Liability

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	265,061	$	244,556	$	241,046	$	246,943	$	267,978	$	276,566	$	281,888	$	279,824	$	279,870	$	283,216	$	4,681	7
2014			250,740		244,574		257,309		241,376		236,961		255,850		254,868		254,243		253,244		12,284		7
2015					257,946		256,595		272,899		274,546		290,141		281,718		282,065		286,271		19,949		8
2016							309,417		323,222		360,110		400,799		438,065		467,545		463,102		33,241		9
2017									333,267		332,400		338,723		377,410		384,416		393,409		53,786		10
2018											334,848		322,176		333,408		359,566		382,409		73,828		10
2019													336,129		332,385		345,614		354,283		93,387		11
2020															394,107		375,577		337,961		159,767		11
2021																	524,879		471,266		315,877		11
2022																			648,941		543,483		10
Total																			$	3,874,102

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	23,295	$	63,503	$	118,767	$	176,079	$	204,955	$	246,616	$	255,863	$	261,106	$	267,776	$	273,094
2014			19,225		83,063		137,341		174,524		197,272		213,888		225,236		234,459		237,145
2015					20,331		85,047		139,205		186,688		215,408		232,143		239,150		246,031
2016							28,517		102,173		201,019		254,872		296,863		356,812		404,742
2017									36,503		96,312		162,829		243,088		261,225		306,713
2018											28,101		99,598		155,212		198,697		244,284
2019													31,674		97,466		147,985		200,521
2020															28,106		80,408		129,168
2021																	28,586		86,056
2022																			33,446
Total																			$	2,161,200
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		36,484
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	1,749,386

Commercial Automobile

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	327,514	$	349,136	$	368,894	$	376,243	$	366,646	$	366,166	$	365,275	$	364,207	$	364,439	$	364,607	$	103	44
2014			363,891		385,241		416,802		414,732		412,120		411,920		407,470		406,589		407,970		403		47
2015					389,577		415,446		421,522		429,608		430,557		428,981		426,107		427,923		1,362		53
2016							429,329		429,074		440,334		441,408		438,192		437,884		439,682		2,244		52
2017									430,440		428,419		430,198		434,170		439,991		444,472		4,800		47
2018											442,610		462,544		478,966		494,315		521,667		10,720		46
2019													483,019		488,291		504,813		530,876		22,483		45
2020															523,736		428,759		442,163		31,172		30
2021																	614,422		596,810		111,412		38
2022																			792,553		342,905		40
Total																			$	4,968,723

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	142,929	$	218,596	$	267,253	$	321,855	$	342,961	$	352,792	$	361,499	$	362,252	$	362,624	$	364,147
2014			155,564		237,648		326,854		364,054		392,658		400,577		403,273		404,259		405,004
2015					159,987		263,663		323,429		368,448		396,018		409,426		415,170		418,993
2016							183,160		277,665		339,657		388,554		407,989		418,499		426,955
2017									180,545		267,326		326,861		371,761		401,844		419,545
2018											180,056		281,475		350,110		412,874		463,117
2019													185,236		290,124		374,479		440,378
2020															142,815		228,357		308,451
2021																	180,860		319,941
2022																			253,206
Total																			$	3,819,737
			Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																3,731
			Reserves for loss and loss adjustment expenses, net of reinsurance																$	1,152,717

Short-tail lines

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	565,391	$	573,905	$	565,810	$	549,518	$	548,169	$	544,681	$	542,863	$	542,148	$	541,857	$	541,728	$	1,125	25
2014			691,971		697,845		659,563		658,252		659,230		659,568		662,012		660,250		658,557		1,549		30
2015					736,523		726,287		723,206		721,789		713,899		712,361		710,663		710,978		3,842		32
2016							771,390		775,308		762,460		757,009		751,530		753,952		752,604		3,363		34
2017									752,727		753,326		747,630		747,003		746,603		747,869		8,195		42
2018											759,634		748,931		746,265		744,544		742,289		11,491		48
2019													721,073		701,241		691,015		684,708		18,311		43
2020															900,683		904,580		922,333		24,934		38
2021																	828,187		832,183		57,246		36
2022																			944,842		235,121		32
Total																			$	7,538,091

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	310,750	$	480,140	$	526,031	$	527,789	$	534,569	$	535,756	$	536,416	$	537,582	$	538,985	$	539,081
2014			368,865		587,607		609,948		628,440		643,619		650,816		653,272		653,784		654,089
2015					392,921		608,748		664,084		686,029		695,563		701,341		708,065		708,214
2016							416,611		669,891		711,385		726,549		731,651		738,390		739,244
2017									445,285		689,662		718,538		730,688		734,509		741,685
2018											414,910		661,741		708,214		725,138		725,228
2019													404,975		615,869		645,374		657,819
2020															460,434		784,670		845,714
2021																	405,512		698,092
2022																			472,024
Total																			$	6,781,190
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		4,727
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	761,628

Reinsurance & Monoline Excess

Casualty

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022		IBNR
2013	$	318,365	$	269,340	$	272,475	$	282,307	$	291,105	$	298,317	$	302,595	$	301,415	$	302,672	$	302,135	$	12,543
2014			319,454		318,904		318,443		330,382		324,693		324,150		335,883		336,990		341,649		16,184
2015					259,019		231,430		230,085		252,277		293,094		303,261		304,805		309,317		19,728
2016							240,655		252,638		245,268		267,850		301,663		301,355		310,451		24,928
2017									231,082		220,699		238,883		261,482		281,254		298,486		36,491
2018											221,193		210,397		230,790		246,898		261,148		44,474
2019													236,318		230,460		239,131		240,848		72,504
2020															299,602		293,345		289,878		136,865
2021																	359,952		346,736		243,222
2022																			446,676		402,204
Total																			$	3,147,324

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	28,945	$	63,745	$	108,852	$	144,331	$	178,060	$	205,553	$	225,882	$	241,573	$	254,273	$	263,467
2014			21,297		68,374		115,779		155,070		197,996		227,448		252,155		271,512		284,360
2015					17,888		48,442		91,140		141,254		178,521		205,289		233,643		250,880
2016							19,904		61,770		100,200		140,299		171,719		205,354		225,077
2017									16,469		40,085		69,350		123,614		147,311		175,059
2018											11,076		40,953		77,498		109,474		141,553
2019													14,560		39,091		64,020		94,856
2020															20,750		49,664		81,789
2021																	10,918		43,838
2022																			11,595
Total																			$	1,572,474
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		417,861
			Reserves for loss and loss adjustment expenses, net of reinsurance																$	1,992,711

Monoline Excess

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022		IBNR
2013	$	63,995	$	50,355	$	48,143	$	44,162	$	40,207	$	35,120	$	31,752	$	29,758	$	25,701	$	23,306	$	5,184
2014			63,561		57,650		49,570		45,823		41,671		42,541		42,618		40,652		35,707		7,484
2015					69,977		57,897		50,099		45,115		39,682		39,781		36,774		30,104		8,683
2016							72,657		70,281		71,404		64,957		65,485		65,222		61,432		13,634
2017									76,701		80,508		70,749		71,025		66,795		62,647		16,529
2018											77,820		72,505		71,448		66,180		57,847		20,826
2019													78,929		77,482		76,242		73,978		21,878
2020															84,354		83,468		80,452		35,638
2021																	98,110		87,980		48,670
2022																			98,923		66,865
Total																			$	612,376

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	647	$	1,897	$	3,588	$	3,008	$	3,396	$	4,418	$	5,349	$	6,476	$	8,805	$	9,490
2014			377		2,341		3,354		4,175		5,808		7,595		11,154		11,938		13,491
2015					2,069		2,481		3,272		4,099		4,416		5,083		5,421		6,457
2016							2,498		4,783		5,573		5,928		7,685		9,883		11,819
2017									6,282		12,810		15,356		17,327		18,375		19,275
2018											6,141		8,230		9,368		10,359		12,414
2019													6,241		10,884		12,728		15,436
2020															4,869		8,699		10,471
2021																	4,586		6,026
2022																			5,898
Total																			$	110,777
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		644,712
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	1,146,311

Property

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022		IBNR
2013	$	141,380	$	112,616	$	114,100	$	111,937	$	112,572	$	111,890	$	109,697	$	107,552	$	106,316	$	105,711	$	72
2014			112,907		96,492		97,195		99,941		99,176		98,838		99,244		97,315		96,656		177
2015					127,118		117,452		131,625		130,301		129,398		131,071		130,642		131,342		1,061
2016							167,901		174,423		181,634		180,885		186,159		184,150		185,249		1,482
2017									206,560		200,394		199,410		197,978		191,867		192,379		1,209
2018											108,220		112,068		103,104		105,101		102,953		1,754
2019													103,113		77,062		81,858		81,014		3,637
2020															114,590		117,867		116,774		3,946
2021																	133,938		146,761		28,634
2022																			167,039		78,818
Total																			$	1,325,878

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	36,577	$	74,572	$	92,625	$	101,538	$	104,323	$	106,043	$	107,603	$	104,403	$	104,388	$	105,059
2014			38,780		66,829		82,119		88,257		91,390		93,099		94,565		95,198		95,633
2015					53,474		89,121		109,051		118,552		122,566		125,439		126,848		127,995
2016							78,920		133,516		157,404		168,506		175,949		178,060		182,411
2017									72,126		141,340		171,675		179,749		182,609		185,823
2018											33,991		65,079		82,259		87,736		94,870
2019													23,081		54,499		68,457		71,054
2020															26,574		65,575		86,888
2021																	15,235		71,797
2022																			25,584
Total																			$	1,047,114
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		1,036
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	279,800

The reconciliation of the net incurred and paid claims development tables to the reserves for losses and loss expenses in the consolidated balance sheet is as follows:

(In thousands)		December 31, 2022
Undiscounted reserves for loss and loss expenses, net of reinsurance:
	Other liability	$	5,536,127
	Workers' compensation	1,921,971
	Professional liability	1,749,386
	Commercial automobile	1,152,717
	Short-tail lines	761,628
	Other	124,586
	Insurance	11,246,415
	Casualty	1,992,711
	Monoline excess	1,146,311
	Property	279,800
	Reinsurance & Monoline Excess	3,418,822
Total undiscounted reserves for loss and loss expenses, net of reinsurance		$	14,665,237

(In thousands)		December 31, 2022
Due from reinsurers on unpaid claims:
	Other liability	$	730,029
	Workers' compensation	221,769
	Professional liability	1,019,810
	Commercial automobile	67,895
	Short-tail lines	414,549
	Other	97,511
	Insurance	2,551,563
	Casualty	108,390
	Monoline excess	35,926
	Property	66,465
	Reinsurance & Monoline Excess	210,781
Total due from reinsurers on unpaid claims		$	2,762,344

(In thousands)		December 31, 2022
Loss reserve discount:
	Other liability	$	—
	Workers' compensation	(12,491)
	Professional liability	—
	Commercial automobile	—
	Short-tail lines	—
	Other	—
	Insurance	(12,491)
	Casualty	(84,668)
	Monoline excess	(319,199)
	Property	—
	Reinsurance & Monoline Excess	(403,867)
Total loss reserve discount		$	(416,358)
Total gross reserves for loss and loss expenses		$	17,011,223

The following is supplementary information regarding average historical claims duration as of December 31, 2022:

Insurance
Average Annual Percentage Payout of Incurred Claims by Age, Net of Reinsurance
Years	1		2		3		4		5		6		7		8		9		10
Other liability	6.9	%	13.7	%	16.3	%	16.0	%	13.1	%	9.2	%	6.7	%	4.2	%	2.7	%	2.8	%
Workers' compensation	23.5	%	29.9	%	15.7	%	9.1	%	5.5	%	3.2	%	2.1	%	1.7	%	1.5	%	1.0	%
Professional liability	7.4	%	17.6	%	17.7	%	15.7	%	9.1	%	10.3	%	5.1	%	2.6	%	3.0	%	1.9	%
Commercial automobile	36.1	%	20.9	%	15.5	%	11.5	%	6.7	%	2.8	%	1.6	%	0.4	%	0.1	%	0.4	%
Short-tail lines	54.7	%	32.8	%	5.8	%	2.0	%	1.0	%	0.8	%	0.4	%	0.1	%	0.2	%	—	%
Reinsurance & Monoline Excess
Average Annual Percentage Payout of Incurred Claims by Age, Net of Reinsurance
Years	1		2		3		4		5		6		7		8		9		10
Casualty	5.7	%	10.9	%	12.5	%	13.7	%	11.0	%	9.3	%	7.4	%	5.5	%	4.0	%	3.0	%
Monoline excess	6.1	%	4.7	%	3.1	%	1.7	%	2.6	%	3.3	%	4.6	%	3.5	%	7.2	%	2.9	%
Property	30.5	%	33.2	%	16.1	%	5.8	%	3.6	%	1.7	%	1.6	%	0.3	%	0.1	%	—	%

The table below provides a reconciliation of the beginning and ending reserve balances:

(In thousands)	2022		2021		2020
Net reserves at beginning of year	$	12,848,362	$	11,620,393	$	10,697,998
Cumulative effect adjustment resulting from changes in accounting principles (1)	—		—		5,927
Restated net reserves at beginning of period	12,848,362		11,620,393		10,703,925
Net provision for losses and loss expenses:
Claims occurring during the current year (2)	5,774,713		4,921,191		4,432,937
Increase in estimates for claims occurring in prior years (3)	54,511		863		627
Loss reserve discount accretion	32,526		31,906		35,142
Total	5,861,750		4,953,960		4,468,706
Net payments for claims:
Current year	1,068,577		887,896		921,054
Prior year	3,279,333		2,777,798		2,677,595
Total	4,347,910		3,665,694		3,598,649
Foreign currency translation	(113,323)		(60,297)		46,411
Net reserves at end of year	14,248,879		12,848,362		11,620,393
Ceded reserve at end of year	2,762,344		2,542,526		2,164,037
Gross reserves at end of year	$	17,011,223	$	15,390,888	$	13,784,430
Net change in premiums and losses occurring in prior years:
Increase in estimates for claims occurring in prior years (3)	$	(54,511)	$	(863)	$	(627)
Retrospective premium adjustments for claims occurring in prior years (4)	18,106		7,510		16,807
Net premium and reserve development on prior years	$	(36,405)	$	6,647	$	16,180

_______________________________________

(1)The cumulative effect adjustment resulting from changes in accounting principals relates to the allowance for expected credit losses on reinsurance recoverables that commenced on January 1, 2020 due to the adoption of ASU 2016-13. See Note 1 for more details.

(2)Claims occurring during the current year are net of loss reserve discounts of $35 million, $21 million and $10 million in 2022, 2021, and 2020, respectively.

(3)The change in estimates for claims occurring in prior years is net of loss reserve discount. On an undiscounted basis, the estimates for claims occurring in prior years increased by $16 million in 2022, decreased by $19 million in 2021, and decreased by $21 million in 2020, respectively.

(4)For certain retrospectively rated insurance polices and reinsurance agreements, changes in loss and loss expenses for prior years are offset by additional or return premiums.

The COVID-19 global pandemic has impacted, and may further impact, the Company’s results through its effect on claim frequency and severity. Loss cost trends have been impacted and may be further impacted by COVID-19-related claims in certain lines of business. Losses incurred from COVID-19-related claims have been offset, to a certain extent, by lower claim frequency in certain lines of our businesses; however, as the economy and legal systems have reopened, the benefit of lower claim frequency has partially abated. The ultimate net impact of COVID-19 on the Company remains uncertain. New variants of the COVID-19 virus continue to create risks with respect to loss costs and the potential for renewed impact of the other effects of COVID-19 associated with economic conditions, inflation, and social distancing and work from home rules.

Most of the COVID-19-related claims reported to the Company to date involve certain short-tailed lines of business, including contingency and event cancellation, business interruption, and film production delay. The Company has also received COVID-19-related claims for longer-tailed casualty lines of business such as workers’ compensation and other liability; however, the estimated incurred loss impact for these reported claims are not material at this time. Given the continuing uncertainty regarding the pandemic's pervasiveness, the future impact that the pandemic may have on claim frequency and severity remains uncertain at this time.

The Company has estimated the potential COVID-19 impact to its contingency and event cancellation, workers’ compensation, and other lines of business under a number of possible scenarios; however, due to COVID-19’s continued

evolving impact, there remains uncertainty around the Company’s COVID-19 reserves. In addition, should the pandemic continue or worsen as a result of new COVID-19 variants or otherwise, governments in the jurisdictions where we operate may impose restrictions, including lockdowns, as well as renew their efforts to expand policy coverage terms beyond the policy’s intended coverage. Accordingly, losses arising from these actions, and the other factors described above, could exceed the Company’s reserves established for those related policies.

As of December 31, 2022, the Company had recognized losses for COVID-19-related claims activity, net of reinsurance, of approximately $341 million, of which $290 million relates to the Insurance segment and $51 million relates to the Reinsurance & Monoline Excess segment. Such $341 million of COVID-19-related losses included $337 million of reported losses and $4 million of IBNR. For the year ended December 31, 2022, the Company recognized current accident year losses for COVID-19-related claims activity, net of reinsurance, of approximately $5 million, of which $3 million relates to the Insurance segment and $2 million relates to the Reinsurance & Monoline Excess segment.

Unfavorable prior year development (net of additional and return premiums) was $36 million in 2022.

Insurance – Reserves for the Insurance segment developed unfavorably by $40 million in 2022 (net of additional and return premiums). The unfavorable development in the segment primarily related to COVID-19 losses at two businesses. These businesses wrote policies providing coverage for event cancellation and film production delay which were heavily impacted by losses directly caused by the COVID-19 pandemic. Most of this COVID-19 related unfavorable development emerged during the third quarter as a result of settlements of claims at values higher than our expectations. However, the Company believes that as a result of these settlements the remaining level of uncertainty around the ultimate value of its known COVID-19 claims has been significantly reduced.

The unfavorable development mentioned above also includes favorable prior year development for the Insurance segment primarily attributable to the 2020 and 2021 accident years and unfavorable development on the 2015 through 2019 accident years. The favorable development on the 2020 and 2021 accident years was concentrated in certain casualty lines of business including general liability, professional liability, and workers’ compensation. The Company experienced lower reported claim frequency in these lines of business during 2020 and 2021 relative to historical averages, and continued to experience lower reported incurred losses relative to our expectations for these accident years as they developed during 2022. These trends began in 2020 and we believe were caused by the impacts of the COVID-19 pandemic, including for example, lockdowns, reduced driving/traffic and increased work from home. Due to the ongoing uncertainty regarding the ultimate impacts of the pandemic on accident years 2020 and 2021 incurred losses, the Company has been cautious in reacting to these lower trends in setting and updating its loss ratio estimates for these years. As these accident years have continued to mature, the Company has continued to recognize some of the favorable reported experience in its ultimate loss estimates made during 2022.

The unfavorable development on the 2015 through 2019 accident years was concentrated in the general liability and professional liability, including medical professional, lines of business, as well as commercial auto liability. The development was driven by a larger than expected number of large losses reported. The Company believes social inflation is contributing to an increase in the frequency of large losses for these accident years. Social inflation can include higher settlement demands from plaintiffs, use of tactics such as litigation funding by the plaintiffs’ bar, negative public sentiment towards large businesses and corporations, and erosion of tort reforms, among others.

Reinsurance & Monoline Excess – Reserves for the Reinsurance & Monoline Excess segment developed favorably by $4 million in 2022 (net of additional and return premiums). The overall favorable development for the segment was driven mainly by favorable development in excess workers compensation, substantially offset by unfavorable development in the professional liability and non-proportional reinsurance assumed liability lines of business. The favorable excess workers’ compensation development was spread across most prior accident years, including 2012 and prior years, and was driven by a review of the Company’s claim reporting patterns as well as a number of favorable claim settlements relative to expectations. The unfavorable professional liability and non-proportional reinsurance assumed liability development was concentrated mainly in accident years 2016 through 2018 and was associated primarily with our U.S. assumed reinsurance business and related to accounts insuring construction projects and professional liability exposures.

Favorable prior year development (net of additional and return premiums) was $7 million in 2021.

Insurance – Reserves for the Insurance segment developed favorably by $20 million in 2021 (net of additional and return premiums). The overall favorable development in 2021 was attributable to favorable development on the 2020 accident year, partially offset by adverse development on the 2016 through 2019 accident years.

The favorable development on the 2020 accident year was largely concentrated in the commercial auto liability and other liability lines of business, including commercial multi-peril liability. During 2020 the Company achieved larger rate increases in these lines of business than were contemplated in its budget and in its initial loss ratio selections. The Company also experienced significantly lower reported claim frequency in these lines in 2020 relative to historical averages, and lower reported incurred losses relative to its expectations. We believe that the lower claim frequency and lower reported incurred losses were caused by the impacts of the COVID-19 pandemic, for example, lockdowns, reduced driving and traffic, work from home, and court closures. However, due to the uncertainty regarding the ultimate impacts of the pandemic on accident year 2020 incurred losses, the Company elected not to react to these lower reported trends during 2020. As more information became available and the 2020 accident year continued to mature, during 2021 the Company started to recognize favorable accident year 2020 development in response to the continuing favorable reported loss experience relative to its expectations.

The adverse development on the 2016 through 2019 accident years is concentrated largely in the other liability line of business, including commercial multi-peril liability, but is also seen to a lesser extent in commercial auto liability. The adverse development for these accident years is driven by a higher than expected number of large losses reported, and particularly impacted the directors and officers liability, lawyers professional liability, and excess and surplus lines casualty classes of business. We also believe that increased social inflation is contributing to the increased number of large losses, for example, higher jury awards on cases which go to trial, and the corresponding higher demands from plaintiffs and higher values required to reach settlement on cases which do not go to trial.

Reinsurance & Monoline Excess – Reserves for the Reinsurance & Monoline Excess segment developed unfavorably by $13 million in 2021. The unfavorable development in the segment was driven by the non-proportional reinsurance assumed liability and other liability lines of business, related primarily to accident years 2017 through 2019, and was partially offset by favorable development in excess workers’ compensation business which was spread across many prior accident years. The unfavorable non-proportional reinsurance assumed liability and other liability development was associated with our U.S. and U.K. assumed reinsurance business, and related primarily to accounts insuring construction projects and professional liability exposures.

Favorable prior year development (net of additional and return premiums) was $16 million in 2020.

Insurance - Reserves for the Insurance segment developed favorably by $24 million in 2020 (net of additional and return premiums). Continuing the pattern seen in recent years, the overall favorable development in 2020 resulted from more significant favorable development on workers’ compensation business, which was partially offset by unfavorable development on professional liability, including excess professional liability

For workers’ compensation, the favorable development was spread across almost all prior accident years, including prior to 2011, but was most significant in accident years 2016 through 2019. The favorable workers’ compensation development reflects a continuation of the benign loss cost trends experienced during recent years, particularly the favorable claim frequency trends (i.e., number of reported claims per unit of exposure). The long term trend of declining workers’ compensation frequency can be attributable to improved workplace safety. Loss severity trends were also aided by our continued investment in claims handling initiatives such as medical case management services and vendor savings through usage of preferred provider networks and pharmacy benefit managers. Reported workers’ compensation losses in 2020 continued to be below our expectations at most of our businesses, and were below the assumptions underlying our initial loss ratio picks and our previous reserve estimates for most prior accident years.

For professional liability business, unfavorable development was driven mainly by large losses reported in the directors and officers (“D&O”), lawyers professional and excess hospital professional liability lines of business. For these lines of business, we continue to see an increase in the number of large losses reported and a lengthening of the reporting “tail” beyond historical levels. We believe a contributing cause is rising social inflation in the form of, for example, higher jury awards on cases that go to trial, and the corresponding higher demands from plaintiffs and higher values required to reach settlement on cases that do not go to trial. The unfavorable development for professional liability affected mainly accident years 2016 through 2018.

Reinsurance & Monoline Excess – Reserves for the Reinsurance & Monoline Excess segment developed unfavorably by $8 million in 2020. The unfavorable development in the segment was driven by non-proportional assumed liability business written in both the U.S. and U.K., and was partially offset by favorable development on excess workers’ compensation business. The unfavorable non-proportional assumed liability development was concentrated in accident years 2014 through 2018, and related primarily to accounts insuring construction projects and professional liability exposures.

Environmental and Asbestos — To date, known environmental and asbestos claims have not had a material impact on the Company’s operations, because its subsidiaries generally did not insure large industrial companies that are subject to

significant environmental or asbestos exposures prior to 1986 when an absolute exclusion was incorporated into standard policy language.

The Company’s net reserves for losses and loss expenses relating to asbestos and environmental claims on policies written before adoption of the absolute exclusion was $20 million at both December 31, 2022 and 2021. The estimation of these liabilities is subject to significantly greater than normal variation and uncertainty because it is difficult to make an actuarial estimate of these liabilities due to the absence of a generally accepted actuarial methodology for these exposures and the potential effect of significant unresolved legal matters, including coverage issues, as well as the cost of litigating the legal issues. Additionally, the determination of ultimate damages and the final allocation of such damages to financially responsible parties are highly uncertain.

Discounting — The Company discounts its liabilities for certain workers’ compensation reserves. The amount of workers’ compensation reserves that were discounted was $1,267 million and $1,387 million at December 31, 2022 and 2021, respectively. The aggregate net discount for those reserves, after reflecting the effects of ceded reinsurance, was $416 million and $452 million at December 31, 2022 and 2021, respectively. At December 31, 2022, discount rates by year ranged from 0.7% to 6.5%, with a weighted average discount rate of 3.4%.

Substantially all discounted workers’ compensation reserves (97% of total discounted reserves at December 31, 2022) are excess workers’ compensation reserves. In order to properly match loss expenses with income earned on investment securities supporting the liabilities, reserves for excess workers’ compensation business are discounted using risk-free discount rates determined by reference to the U.S. Treasury yield curve. These rates are determined annually based on the weighted average rate for the period. Once established, no adjustments are made to the discount rate for that period, and any increases or decreases in loss reserves in subsequent years are discounted at the same rate, without regard to when any such adjustments are recognized. The expected loss and loss expense payout patterns subject to discounting are derived from the Company’s loss payout experience.

The Company also discounts reserves for certain other long-duration workers’ compensation reserves (representing approximately 3% of total discounted reserves at December 31, 2022), including reserves for quota share reinsurance and reserves related to losses regarding occupational lung disease. These reserves are discounted at statutory rates prescribed or permitted by the Department of Insurance of the State of Delaware.

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Reinsurance

12 Months Ended

Dec. 31, 2022

Reinsurance Disclosures [Abstract]

Reinsurance

Premiums and Reinsurance Related Information

The Company reinsures a portion of its insurance exposures in order to reduce its net liability on individual risks and catastrophe losses. Reinsurance coverage and retentions vary depending on the line of business, location of the risk and nature of loss. The Company’s reinsurance purchases include the following: property reinsurance treaties that reduce exposure to large individual property losses and catastrophe events; casualty reinsurance treaties that reduce its exposure to large individual casualty losses, workers’ compensation catastrophe losses and casualty losses involving multiple claimants or insureds; and facultative reinsurance that reduces exposure on individual policies or risks for losses that exceed treaty reinsurance capacity. Depending on the business, the Company purchases specific additional reinsurance to supplement the above programs.

The following is a summary of reinsurance financial information:

(In thousands)	2022		2021		2020
Written premiums:
Direct	$	10,695,138	$	9,531,050	$	7,874,050
Assumed	1,213,914		1,169,084		973,597
Ceded	(1,904,982)		(1,837,267)		(1,585,210)
Total net written premiums	$	10,004,070	$	8,862,867	$	7,262,437
Earned premiums:
Direct	$	10,217,891	$	8,825,568	$	7,489,470
Assumed	1,226,801		1,085,804		941,321
Ceded	(1,883,263)		(1,805,341)		(1,499,948)
Total net earned premiums	$	9,561,429	$	8,106,031	$	6,930,843
Ceded losses and loss expenses incurred	$	1,269,338	$	1,236,960	$	955,630
Ceded commission earned	$	477,437	$	449,739	$	358,253

The following table presents the rollforward of the allowance for expected credit losses for premiums and fees receivable for the years ended December 31, 2022 and 2021:

(In thousands)	2022		2021
Allowance for expected credit losses, beginning of period	$	25,218	$	22,883
Change in allowance for expected credit losses	5,442		2,335
Allowance for expected credit losses, end of period	$	30,660	$	25,218

Estimated amounts due from reinsurers are reported net of an allowance for expected credit losses of $8.1 million, $7.7 million and $7.8 million as of December 31, 2022, 2021 and 2020, respectively. The following table presents the rollforward of the allowance for expected credit losses associated with due from reinsurers for the years ended December 31, 2022 and 2021:

(In thousands)	2022		2021
Allowance for expected credit losses, beginning of period	$	7,713	$	7,801
Change in allowance for expected credit losses	351		(88)
Allowance for expected credit losses, end of period	$	8,064	$	7,713

     The following table presents the amounts due from reinsurers as of December 31, 2022:

(In thousands)
Lloyd’s of London	$	347,927
Berkshire Hathaway	332,034
Munich Re	306,530
Partner Re	275,410
Hannover Re Group	191,264
Swiss Re	189,591
Lifson Re	180,724
Renaissance Re	163,973
Everest Re	155,847
Liberty Mutual	96,402
Axis Capital	81,538
Korean Re	59,884
Fairfax Financial	55,228
Axa Insurance	46,058
Arch Capital Group	45,663
Sompo Holdings Group	36,157
Helvetia Holdings Group	30,823
Markel Corp Group	30,216
Validus Holdings Group	24,548
TOA Re	22,945
Other reinsurers less than $20,000	342,275
Subtotal	3,015,037
Residual market pools (1)	180,757
Allowance for expected credit losses	(8,064)
Total	$	3,187,730

(1)Many states require licensed insurers that provide workers' compensation insurance to participate in programs that provide workers' compensation to employers that cannot procure coverage from an insurer on a voluntary basis. Insurers can fulfill this residual market obligation by participating in pools where results are shared by the participating companies. The Company acts as a servicing carrier for workers' compensation pools in certain states. As a servicing carrier, the Company writes residual market business directly and then cedes 100% of this business to the respective pool. As a servicing carrier, the Company receives fee income for its services. The Company does not retain underwriting risk, and credit risk is limited as ceded balances are jointly shared by all the pool members.

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Indebtedness

12 Months Ended

Dec. 31, 2022

Debt Disclosure [Abstract]

Indebtedness

Indebtedness

Indebtedness consisted of the following as of December 31, 2022 (the difference between the face value and the carrying value is unamortized discount and debt issuance costs):

				Carrying Value
(In thousands)	Interest Rate	Face Value		2022		2021
Senior notes and other debt due on:
January 1, 2022 (1)	8.700%	$	—	$	—	$	76,503
March 15, 2022 (1)	4.625%	—		—		349,923
February 15, 2037	6.250%	250,000		248,446		248,336
August 1, 2044	4.750%	350,000		346,020		345,836
May 12, 2050	4.000%	470,000		490,721		491,478
March 30, 2052	3.550%	400,000		394,213		394,015
September 30, 2061	3.150%	350,000		342,945		342,761
Subsidiary debt and other (2)	Various	6,478		6,478		10,564
Total senior notes and other debt		$	1,826,478	$	1,828,823	$	2,259,416
Subordinated debentures due on:
March 30, 2058	5.700%	$	185,000	$	179,328	$	179,166
December 30, 2059	5.100%	300,000		291,179		290,941
September 30, 2060	4.250%	250,000		244,523		244,378
March 30, 2061	4.125%	300,000		293,341		293,167
Total subordinated debentures		$	1,035,000	$	1,008,371	$	1,007,652

________________

(1) In the first quarter of 2022, the Company repaid at maturity its $77 million aggregate principal amount of 8.7% senior notes in January and its $350 million aggregate principal amount of 4.625% senior notes in March.

(2) Subsidiary debt is due as follows: $5 million in 2024 and $2 million in 2025, partially offset by the unamortized cost of $0.8 million due to entering into the $300 million senior unsecured revolving credit facility.

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Income Taxes

12 Months Ended

Dec. 31, 2022

Income Tax Disclosure [Abstract]

Income Taxes

Income Taxes

Income tax expense (benefit) consists of:

(In thousands)	Current Expense		Deferred (Benefit) Expense		Total
December 31, 2022
Domestic	$	295,849	$	(27,544)	$	268,305
Foreign	42,890		23,532		66,422
Total expense (benefit)	$	338,739	$	(4,012)	$	334,727
December 31, 2021
Domestic	$	239,090	$	2,752	$	241,842
Foreign	—		10,048		10,048
Total expense	$	239,090	$	12,800	$	251,890
December 31, 2020
Domestic	$	162,305	$	17	$	162,322
Foreign	23,375		(13,880)		9,495
Total expense (benefit)	$	185,680	$	(13,863)	$	171,817

        

Income before income taxes from domestic operations was $1,240 million, $1,224 million and $831 million for the years ended December 31, 2022, 2021 and 2020, respectively. Income (loss) before income taxes from foreign operations was $480 million, $59 million and ($126) million for the years ended December 31, 2022, 2021 and 2020, respectively.

A reconciliation of the income tax expense and the amounts computed by applying the Federal and foreign income tax rate of 21% for 2022, 2021 and 2020 to pre-tax income are as follows:

(In thousands)	2022		2021		2020
Computed “expected” tax expense	$	361,133	$	269,410	$	148,008
Tax-exempt investment income	(10,815)		(11,380)		(12,770)
Change in valuation allowance	(28,064)		2,974		46,238
Impact of foreign tax rates	(453)		(2,368)		6,753
State and local taxes	8,976		4,230		2,561
Other, net	3,950		(10,976)		(18,973)
Total expense	$	334,727	$	251,890	$	171,817

At December 31, 2022 and 2021, the tax effects of differences that give rise to significant portions of the deferred tax asset and deferred tax liability are as follows:

(In thousands)	2022		2021
Deferred tax asset:
Loss reserve discounting	$	192,181	$	162,636
Unearned premiums	180,326		163,143
Unrealized investment losses	228,456		—
Net operating losses & foreign tax credits	58,182		88,502
Other-than-temporary impairments	5,935		5,176
Employee compensation plans	63,313		61,301
Other	72,536		54,269
Gross deferred tax asset	800,929		535,027
Less valuation allowance	(47,166)		(75,230)
Deferred tax asset	753,763		459,797
Deferred tax liability:
Amortization of intangibles	13,973		12,787
Loss reserve discounting - transition rule	14,843		19,796
Deferred policy acquisition costs	157,055		137,893
Unrealized investment gains	—		36,850
Property, furniture and equipment	45,887		43,186
Investment funds	125,525		101,999
Other	67,479		67,331
Deferred tax liability	424,762		419,842
Net deferred tax asset	$	329,001	$	39,955

The Company had a current tax net receivable of $5 million and $3 million at December 31, 2022 and 2021, respectively. At December 31, 2022, the Company had foreign net operating loss carryforwards of $4 million that begin to expire in 2027 and an additional $225 million that have no expiration date. At December 31, 2022, the Company had a valuation allowance of $47 million as compared to $75 million at December 31, 2021. The Company has provided a valuation allowance against the utilization of foreign tax credits and the future net operating loss carryforward benefits of certain foreign operations. The statute of limitations for the Company’s U.S. Federal income tax returns has closed for all years through December 31, 2018.

The realization of the deferred tax asset is dependent upon the Company’s ability to generate sufficient taxable income in future periods. Based on historical results and the prospects for future current operations, management anticipates that it is more likely than not that future taxable income will be sufficient for the realization of this asset.

The Tax Cuts and Jobs Act of 2017 (the "Tax Act") provided for a reduction of the U.S. corporate income tax rate from 35% to 21% effective January 1, 2018. The U.S. tax law requires insurance reserves to be discounted for tax purposes. The Tax Act modified this computation. The IRS issued revised discount factors to be applied to the 2017 reserves, which increased the beginning of year 2018 deferred tax asset for loss reserve discounting. Under the related transition rule, a deferred tax liability was established which will be included in taxable income over the eight year period that began in 2018.

The Company has not provided U.S. deferred income taxes on the undistributed earnings of approximately $169 million of its non-U.S. subsidiaries since these earnings are intended to be permanently reinvested in the non-U.S. subsidiaries. In the future, if such earnings were distributed the Company projects that the incremental tax, if any, will be immaterial.

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Dividends From Subsidiaries And Statutory Financial Information

12 Months Ended

Dec. 31, 2022

Insurance [Abstract]

Dividends From Subsidiaries And Statutory Financial Information

Dividends from Subsidiaries and Statutory Financial Information

The Company’s insurance subsidiaries are restricted by law as to the amount of dividends they may pay without the approval of regulatory authorities. The Company’s lead insurer, Berkley Insurance Company ("BIC"), directly or indirectly owns all of the Company’s other insurance companies. During 2023, the maximum amount of dividends that can be paid by BIC without such approval is approximately $1.2 billion.

BIC’s combined net income and statutory capital and surplus, as determined in accordance with statutory accounting practices ("SAP"), are as follows:

(In thousands)	2022		2021		2020
Net income	$	1,358,813	$	1,040,342	$	771,990
Statutory capital and surplus	$	8,330,587	$	6,817,535	$	6,188,121

    The significant variances between SAP and GAAP are that for statutory purposes bonds are carried at amortized cost, unrealized gains and losses on equity securities are recorded in surplus, acquisition costs are charged to income as incurred, deferred Federal income taxes are subject to limitations, excess and assumed workers’ compensation reserves are discounted at different discount rates and certain assets designated as “non-admitted assets” are charged against surplus. The Commissioner of Insurance of the State of Delaware has allowed BIC to recognize a non-tabular discount on certain workers' compensation loss reserves, which is a permitted practice that differs from SAP. The effect of using this permitted practice was an increase to BIC’s statutory capital and surplus by $171 million at December 31, 2022.

The National Association of Insurance Commissioners (“NAIC”) has risk-based capital (“RBC”) requirements that require insurance companies to calculate and report information under a risk-based formula which measures statutory capital and surplus needs based on a regulatory definition of risk in a company’s mix of products and its balance sheet. This guidance is used to calculate two capital measurements: Total Adjusted Capital and RBC Authorized Control Level. Total Adjusted Capital is equal to the Company’s statutory capital and surplus excluding capital and surplus derived from the use of permitted practices that differ from statutory accounting practices. RBC Authorized Control Level is the capital level used by regulatory authorities to determine whether remedial action is required. Generally, no remedial action is required if Total Adjusted Capital is 200% or more of the RBC Authorized Control Level. At December 31, 2022, BIC’s Total Adjusted Capital of $8.2 billion was 408% of its RBC Authorized Control Level.

See Note 4, Investments in Fixed Maturity Securities, for a description of assets held on deposit as security.

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Common Stockholders' Equity

12 Months Ended

Dec. 31, 2022

Equity [Abstract]

Common Stockholders' Equity

Common Stockholders’ Equity

The weighted average number of shares used in the computation of net income per share was as follows:

(In thousands)	2022	2021	2020
Basic	276,852	277,430	280,386
Diluted	279,461	279,749	283,145

Treasury shares have been excluded from average outstanding shares from the date of acquisition. The weighted average number of basic shares outstanding includes the impact of 11,416,856 common shares held in a grantor trust. The common shares held in the grantor trust are for delivery upon settlement of vested but mandatorily deferred restricted stock units ("RSUs"). Shares held by the grantor trust do not affect diluted shares outstanding since shares deliverable under vested RSUs were already included in diluted shares outstanding. The difference in calculating basic and diluted net income per share is attributable entirely to the dilutive effect of stock-based compensation plans. Changes in shares of common stock outstanding, net of treasury shares, are presented below. Shares of common stock issued and outstanding do not include shares related to unissued restricted stock units (including shares held in the grantor trust).

	2022	2021	2020
Balance, beginning of year	265,170,882	266,737,725	275,117,861
Shares issued	745,612	1,062,086	1,164,816
Shares repurchased	(1,370,394)	(2,628,929)	(9,544,952)
Balance, end of year	264,546,100	265,170,882	266,737,725

The amount of dividends paid is dependent upon factors such as the receipt of dividends from our subsidiaries, our results of operations, cash flow, financial condition and business needs, the capital and surplus requirements of our subsidiaries, and applicable insurance regulations that limit the amount of dividends that may be paid by our regulated insurance subsidiaries.

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Fair Value Of Financial Instruments

12 Months Ended

Dec. 31, 2022

Fair Value Disclosures [Abstract]

Fair Value Of Financial Instruments

Fair Value Measurements

The Company’s fixed maturity and equity securities classified as available for sale and its trading account securities are carried at fair value. 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”. The Company utilizes a fair value hierarchy that prioritizes the inputs to valuation techniques used to measure fair value into three broad levels, as follows:

Level 1 - Quoted prices (unadjusted) in active markets for identical assets or liabilities that the Company has the ability to access at the measurement date.  

Level 2 - Quoted prices for similar assets or valuations based on inputs that are observable.     

Level 3 - Estimates of fair value based on internal pricing methodologies using unobservable inputs. Unobservable inputs are only used to measure fair value to the extent that observable inputs are not available.

Substantially all of the Company’s fixed maturity securities were priced by independent pricing services. The prices provided by the independent pricing services are estimated based on observable market data in active markets utilizing pricing models and processes, which may include benchmark yields, reported trades, broker/dealer quotes, issuer spreads, two-sided markets, benchmark securities, bids, offers, sector groupings, matrix pricing and reference data. The pricing services may prioritize inputs differently on any given day for any security based on market conditions, and not all inputs are available for each security evaluation on any given day. The pricing services used by the Company have indicated that they will only produce an estimate of fair value if objectively verifiable information is available. The determination of whether markets are active or inactive is based upon the volume and level of activity for a particular asset class. The Company reviews the prices provided by pricing services for reasonableness and periodically performs independent price tests of a sample of securities to ensure proper valuation.

If prices from independent pricing services are not available for fixed maturity securities, the Company estimates the fair value. For Level 2 securities, the Company utilizes pricing models and processes which may include benchmark yields, sector groupings, matrix pricing, reported trades, broker/dealer quotes, issuer spreads, two-sided markets, bids, offers and reference data. Where broker quotes are used, the Company generally requests two or more quotes and sets a price within the range of quotes received based on its assessment of the credibility of the quote and its own evaluation of the security. The Company generally does not adjust quotes received from brokers. For securities traded only in private negotiations, the Company determines fair value based primarily on the cost of such securities, which is adjusted to reflect prices of recent placements of securities of the same issuer, financial projections, credit quality and business developments of the issuer and other relevant information.

For Level 3 securities, the Company generally uses a discounted cash flow model to estimate the fair value of fixed maturity securities. The cash flow models are based upon assumptions as to prevailing credit spreads, interest rate and interest rate volatility, time to maturity and subordination levels. Projected cash flows are discounted at rates that are adjusted to reflect illiquidity, where appropriate.

The following tables present the assets and liabilities measured at fair value as of December 31, 2022 and 2021 by level:

(In thousands)	Total		Level 1		Level 2		Level 3
December 31, 2022
Assets:
Fixed maturity securities available for sale:
U.S. government and government agency	$	892,258	$	—	$	892,258	$	—
State and municipal	2,890,098		—		2,890,098		—
Mortgage-backed securities	1,665,410		—		1,665,410		—
Asset-backed securities	3,982,773		—		3,982,773		—
Corporate	6,703,992		—		6,703,992
Foreign government	1,401,522		—		1,401,522		—
Total fixed maturity securities available for sale	17,536,053		—		17,536,053		—
Equity securities:
Common stocks	982,751		978,991		1,161		2,599
Preferred stocks	203,143		—		191,844		11,299
Total equity securities	1,185,894		978,991		193,005		13,898
Arbitrage trading account	944,230		822,192		118,448		3,590
Total	$	19,666,177	$	1,801,183	$	17,847,506	$	17,488
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	—	$	—	$	—
December 31, 2021
Assets:
Fixed maturity securities available for sale:
U.S. government and government agency	$	855,343	$	—	$	855,343	$	—
State and municipal	3,304,133		—		3,304,133		—
Mortgage-backed securities	1,068,075		—		1,068,075		—
Asset-backed securities	4,490,565		—		4,490,565		—
Corporate	5,595,675		—		5,595,675		—
Foreign government	1,214,901		—		1,214,901		—
Total fixed maturity securities available for sale	16,528,692		—		16,528,692		—
Equity securities:
Common stocks	695,403		684,470		1,639		9,294
Preferred stocks	245,840		—		234,544		11,296
Total equity securities	941,243		684,470		236,183		20,590
Arbitrage trading account	1,179,606		1,153,079		26,527		—
Total	$	18,649,541	$	1,837,549	$	16,791,402	$	20,590
Liabilities:
Trading account securities sold but not yet purchased	$	1,169	$	1,137	$	32	$	—

The following tables summarize changes in Level 3 assets and liabilities for the years ended December 31, 2022 and 2021:

	Gains (Losses) Included in:
(In thousands)	Beginning Balance		Earnings (Losses)		Other Comprehensive Income (Losses)		Impairments		Purchases		Sales		Paydowns/Maturities		Transfers In / Out		Ending Balance
Year ended December 31, 2022
Assets:
Fixed maturity securities available for sale:
Corporate	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—
Total	—		—		—		—		—		—		—		—		—
Equity securities:
Common stocks	9,294		(6,695)		—		—		—		—		—		—		2,599
Preferred stocks	11,296		3		—		—		925		(925)		—		—		11,299
Total	20,590		(6,692)		—		—		925		(925)		—		—		13,898
Arbitrage trading account	—		(179)		—		—		4,685		(917)		—		1		3,590
Total	$	20,590	$	(6,871)	$	—	$	—	$	5,610	$	(1,842)	$	—	$	1	$	17,488
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—
Year ended December 31, 2021
Assets:
Fixed maturity securities available for sale:
Corporate	$	1,000	$	—	$	—	$	—	$	—	$	(1,000)	$	—	$	—	$	—
Total	1,000		—		—		—		—		(1,000)		—		—		—
Equity securities:
Common stocks	9,215		640		—		—		—		(561)		—		—		9,294
Preferred stocks	9,331		(35)		—		—		2,000		—		—		—		11,296
Total	18,546		605		—		—		2,000		(561)		—		—		20,590
Arbitrage trading account	—		8		—		—		—		(8)		—		—		—
Total	$	19,546	$	613	$	—	$	—	$	2,000	$	(1,569)	$	—	$	—	$	20,590
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	1	$	—	$	—	$	(1)	$	—	$	—	$	—	$	—

For the years ended December 31, 2022 and 2021, there were no fixed maturity security transferred into or out of Level 3.Fair Value of Financial Instruments

The following table presents the carrying amounts and estimated fair values of the Company’s financial instruments as of December 31, 2022 and 2021:

	2022				2021
(In thousands)	Carrying Value		Fair Value		Carrying Value		Fair Value
Assets:
Fixed maturity securities	$	17,587,349	$	17,591,626	$	16,602,673	$	16,614,118
Equity securities	1,185,894		1,185,894		941,243		941,243
Arbitrage trading account	944,230		944,230		1,179,606		1,179,606
Loans receivable	193,002		187,981		115,172		116,534
Cash and cash equivalents	1,449,346		1,449,346		1,568,843		1,568,843
Trading accounts receivable from brokers and clearing organizations	233,863		233,863		—		—
Due from broker	3,609		3,609		20,448		20,448
Liabilities:
Due to broker	—		—		53,636		53,636
Trading account securities sold but not yet purchased	—		—		1,169		1,169
Senior notes and other debt	1,828,823		1,439,188		2,259,416		2,526,630
Subordinated debentures	1,008,371		805,600		1,007,652		1,095,600

The estimated fair values of the Company’s fixed maturity securities, equity securities available for sale and arbitrage trading account securities are based on various valuation techniques that rely on fair value measurements as described in Note 13 above. The fair value of loans receivable is estimated by using current institutional purchaser yield requirements for loans with similar credit characteristics, which is considered a Level 2 input. The fair value of the senior notes and other debt and the subordinated debentures is based on spreads for similar securities, which is considered a Level 2 input.

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Commitments, Litigation And Contingent Liabilities

12 Months Ended

Dec. 31, 2022

Commitments and Contingencies Disclosure [Abstract]

Commitments, Litigation And Contingent Liabilities

Commitments, Litigation and Contingent Liabilities

In the ordinary course of business, the Company is subject to disputes, litigation and arbitration arising from its insurance and reinsurance businesses. These matters are generally related to insurance and reinsurance claims and are considered in the establishment of loss and loss expense reserves. In addition, the Company may also become involved in legal actions which seek extra-contractual damages, punitive damages or penalties, including claims alleging bad faith in handling of insurance claims. The Company expects its ultimate liability with respect to such matters will not be material to its financial condition. However, adverse outcomes on such matters are possible, from time to time, and could be material to the Company’s results of operations in any particular financial reporting period.

    At December 31, 2022, the Company had commitments to invest up to $402 million and $146 million in certain investment funds and real estate construction projects, respectively.

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Leases

12 Months Ended

Dec. 31, 2022

Leases [Abstract]

Leases

Leases

    Lessees are required to recognize a right-of-use asset and a lease liability for leases with terms of more than 12 months on the balance sheet. All leases disclosed within this note are classified as operating leases. Recognized right-of-use asset and lease liability are reported within other assets and other liabilities, respectively, in the consolidated balance sheet. Lease expense is reported in other operating costs and expenses in the consolidated statement of income and accounted for on a straight-line basis over the lease term.

    To determine the discount rate used to calculate present value of future minimum lease payments, the Company uses its incremental borrowing rate during the lease commencement period in line with the respective lease duration. In certain cases, the Company has the option to renew the lease. Lease renewal future payments are included in the present value of the future minimum lease payments when the Company determines it is reasonably certain to renew.

    The main leases entered into by the Company are for office space used by the Company’s operating units across the world. Additionally, the Company, to a lesser extent, has equipment leases mainly for office equipment. Further information relating to operating lease expense and other operating lease information is as follows:

	For the Year Ended December 31,
(In thousands)	2022		2021
Leases:
Lease cost	$	43,383	$	44,051
Cash paid for amounts included in the measurement of lease liabilities reported in operating cash flows	$	43,871	$	45,592
Right-of-use assets obtained in exchange for new lease liabilities	$	28,075	$	38,929

	As of December 31,
($ in thousands)	2022			2021
Right-of-use assets	$	169,271		$	172,180
Lease liabilities	$	204,088		$	208,729
Weighted-average remaining lease term	7.1 years			7.2 years
Weighted-average discount rate	4.40		%	4.83		%

Contractual maturities of the Company’s future minimum lease payments are as follows:

(In thousands)	December 31, 2022
Contractual Maturities:
2023	$	47,024
2024	41,788
2025	32,928
2026	25,973
2027	16,472
Thereafter	68,912
Total undiscounted future minimum lease payments	233,097
Less: Discount impact	29,009
Total lease liability	$	204,088

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Stock Incentive Plan

12 Months Ended

Dec. 31, 2022

Share-based Payment Arrangement [Abstract]

Stock Incentive Plan

Stock Incentive Plan

Pursuant to the Company's stock incentive plan, the Company may issue restricted stock units ("RSUs") to employees of the Company and its subsidiaries. The RSUs generally vest three to five years from the award date and are subject to other vesting and forfeiture provisions contained in the award agreement. The following table summarizes RSU information for the three years ended December 31, 2022:

	2022	2021	2020
RSUs granted and unvested at beginning of period:	5,144,519	5,706,504	6,186,390
Granted	1,024,960	1,272,990	1,443,680
Vested	(1,258,680)	(1,523,960)	(1,667,382)
Canceled	(292,373)	(311,016)	(256,184)
RSUs granted and unvested at end of period:	4,618,426	5,144,519	5,706,504

Upon vesting, shares of the Company’s common stock equal to the number of vested RSUs are issued or deferred to a later date, depending on the terms of the specific award agreement. As of December 31, 2022, 11,403,456 RSUs had been deferred. RSUs that have not yet vested and vested RSUs that have been deferred are not considered to be issued and outstanding shares.

The fair value of RSUs at the date of grant are recorded as unearned compensation, a component of stockholders’ equity, and expensed over the vesting period. Following is a summary of changes in unearned compensation for the three years ended December 31, 2022:

(In thousands)	2022		2021		2020
Unearned compensation at beginning of year	$	135,535	$	132,310	$	128,390
RSUs granted, net of cancellations	60,628		56,711		54,270
RSUs expensed	(47,611)		(46,441)		(47,108)
RSUs forfeitures	(6,492)		(7,045)		(3,242)
Unearned compensation at end of year	$	142,060	$	135,535	$	132,310

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Compensation Plans

12 Months Ended

Dec. 31, 2022

Compensation Related Costs [Abstract]

Compensation Plans

Compensation Plans

The Company and its subsidiaries have profit sharing plans in which substantially all employees participate. The plans provide for minimum annual contributions of 5% of eligible compensation; contributions above the minimum are discretionary and vary with each participating businesses's profitability. Employees become eligible to participate in the plan on the first day of the calendar quarter following the first full calendar quarter after the employee's date of hire provided the employee has completed 250 hours of service during the calendar quarter. The plans provide that 40% of the contributions vest immediately and that the remaining 60% vest at varying percentages based upon years of service. Profit sharing expense was $62 million, $50 million and $48 million in 2022, 2021 and 2020, respectively.

The Company has a long-term incentive compensation plan ("LTIP") that provides for compensation to key executives based on the growth in the Company's book value per share over a five year period.

The following table summarizes the outstanding LTIP awards as of December 31, 2022:

	Units Outstanding	Maximum Value		Inception to date earned through December 31, 2022 on outstanding units
2018 grant	188,500	$	18,850,000	$	18,850,000
2019 grant	205,000	20,500,000		17,164,589
2020 grant	216,000	21,600,000		13,943,707
2021 grant	221,750	22,175,000		11,426,223
2022 grant	241,000	24,100,000		6,232,260

The following table summarizes the LTIP expense for each of the three years ended December 31, 2022:

(In thousands)	2022		2021		2020
2015 grant	$	—	$	—	$	(168)
2016 grant	—		(117)		3,176
2017 grant	—		6,012		2,914
2018 grant	4,299		5,503		2,776
2019 grant	6,904		5,309		2,490
2020 grant	6,653		5,065		2,276
2021 grant	6,574		4,906		—
2022 grant	6,232		—		—
Total	$	30,662	$	26,678	$	13,464

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Supplemental Financial Statement Data

12 Months Ended

Dec. 31, 2022

Other Income and Expenses [Abstract]

Supplemental Financial Statement Data

Supplemental Financial Statement Data

Other operating costs and expenses consist of the following:

(In thousands)	2022		2021		2020
Amortization of deferred policy acquisition costs	$	1,038,903	$	961,628	$	904,955
Insurance operating expenses	1,635,000		1,345,099		1,206,058
Insurance service expenses	96,419		86,003		85,724
Net foreign currency (gains) losses	(50,930)		(25,725)		363
Debt extinguishment costs	—		11,521		8,440
Other costs and expenses	242,113		220,744		184,852
Total	$	2,961,505	$	2,599,270	$	2,390,392

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Industry Segments

12 Months Ended

Dec. 31, 2022

Segment Reporting [Abstract]

Industry Segments

Industry Segments

The Company’s reportable segments include the following two business segments, plus a corporate segment:

•Insurance - predominantly commercial insurance business, including excess and surplus lines, admitted lines and specialty personal lines throughout the United States, as well as insurance business in Asia, Australia, Canada, Continental Europe, Mexico, Scandinavia, South America and the United Kingdom.

•Reinsurance & Monoline Excess - reinsurance business on a facultative and treaty basis, primarily in the United States, United Kingdom, Continental Europe, Australia, the Asia-Pacific region and South Africa, as well as operations that solely retain risk on an excess basis.

The accounting policies of the segments are the same as those described in the summary of significant accounting policies. Income tax expense and benefits are calculated based upon the Company’s overall effective tax rate.

Summary financial information about the Company’s reporting segments is presented in the following table. Income before income taxes by segment includes allocated investment income. Identifiable assets by segment are those assets used in or allocated to the operation of each segment.

	Revenues
(In thousands)	Earned Premiums (1)		Investment Income		Other		Total (2)		Pre-Tax Income (Loss)		Net Income (Loss) to Common Stockholders
Year ended December 31, 2022
Insurance	$	8,369,062	$	550,084	$	33,347	$	8,952,493	$	1,455,658	$	1,173,425
Reinsurance & Monoline Excess	1,192,367		194,272		—		1,386,639		316,527		251,386
Corporate, other and eliminations (3)	—		34,829		590,141		624,970		(254,901)		(203,476)
Net investment gains	—		—		202,397		202,397		202,397		159,727
Consolidated	$	9,561,429	$	779,185	$	825,885	$	11,166,499	$	1,719,681	$	1,381,062
Year ended December 31, 2021
Insurance	$	7,077,708	$	468,821	$	32,063	$	7,578,592	$	1,219,798	$	976,184
Reinsurance & Monoline Excess	1,028,323		175,324		—		1,203,647		270,563		215,439
Corporate, other and eliminations (3)	—		27,473		555,122		582,595		(298,088)		(242,055)
Net investment gains	—		—		90,632		90,632		90,632		72,922
Consolidated	$	8,106,031	$	671,618	$	677,817	$	9,455,466	$	1,282,905	$	1,022,490
Year ended December 31, 2020
Insurance	$	6,067,669	$	375,554	$	35,611	$	6,478,834	$	668,012	$	487,125
Reinsurance & Monoline Excess	863,174		146,029		—		1,009,203		205,587		164,655
Corporate, other and eliminations (3)	—		62,238		445,650		507,888		(271,797)		(214,291)
Net investment gains	—		—		103,000		103,000		103,000		93,181
Consolidated	$	6,930,843	$	583,821	$	584,261	$	8,098,925	$	704,802	$	530,670

Identifiable Assets
(In thousands)	December 31,
	2022		2021
Insurance	$	27,009,652	$	24,414,305
Reinsurance & Monoline Excess	5,195,752		4,916,894
Corporate, other and eliminations (3)	1,655,695		2,755,215
Consolidated	$	33,861,099	$	32,086,414

_______________________________________

(1) Certain amounts included in earned premiums of each segment are related to inter-segment transactions.

(2) Revenues for Insurance includes $1,029 million, $873 million, and $692 million in 2022, 2021, and 2020, respectively, from foreign countries. Revenues for Reinsurance & Monoline Excess includes $412 million, $380 million, and $292 million in 2022, 2021 and 2020, respectively, from foreign countries.

(3) Corporate, other and eliminations represent corporate revenues and expenses and other items that are not allocated to

business segments.

Net premiums earned by major line of business were as follows:

(In thousands)	2022		2021		2020
Insurance
Other liability	$	3,206,846	$	2,673,098	$	2,269,458
Short-tail lines	1,630,371		1,389,068		1,247,908
Workers' compensation	1,197,811		1,131,283		1,127,487
Commercial automobile	1,208,241		990,945		794,171
Professional liability	1,125,793		893,314		628,645
Total Insurance	8,369,062		7,077,708		6,067,669
Reinsurance & Monoline Excess
Casualty	764,793		643,193		521,559
Monoline Excess	217,017		201,187		171,522
Property	210,557		183,943		170,093
Total Reinsurance & Monoline Excess	1,192,367		1,028,323		863,174
Total	$	9,561,429	$	8,106,031	$	6,930,843

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Subsequent Event	12 Months Ended
	Dec. 31, 2022
Subsequent Events [Abstract]
Subsequent Event	Subsequent EventOn January 3, 2023, the Company's Board of Directors declared a special cash dividend on its common stock of 50 cents per share that was paid on January 24, 2023 to stockholders of record at the close of business on January 13, 2023.

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Schedule II - Condensed Financial Information of Registrant

12 Months Ended

Dec. 31, 2020

Condensed Financial Information Disclosure [Abstract]

Schedule II - Condensed Financial Information of Registrant

Schedule II

W. R. Berkley Corporation

Condensed Financial Information of Registrant

Balance Sheets (Parent Company)

	December 31,
(In thousands)	2022		2021
Assets:
Cash and cash equivalents	$	103,522	$	684,037
Fixed maturity securities available for sale at fair value (cost $285,900 and $805,211 at December 31, 2022 and 2021, respectively)	275,511		806,074
Loans receivable (net of allowance for expected credit losses of $559 and $647 at December 31, 2022 and 2021, respectively)	109,793		93,397
Equity securities, at fair value (cost $3,430 in both 2022 and 2021)	3,430		3,430
Investment in subsidiaries	8,888,455		8,516,916
Current federal income taxes	34,452		23,424
Deferred federal income taxes	304,191		11,796
Property, furniture and equipment at cost, less accumulated depreciation	11,356		11,916
Other assets	39,741		43,793
Total assets	$	9,770,451	$	10,194,783
Liabilities and stockholders’ equity:
Liabilities:
Due to subsidiaries	$	53,029	$	138,376
Other liabilities	139,150		146,892
Subordinated debentures	1,008,371		1,007,652
Senior notes	1,821,569		2,248,852
Total liabilities	3,022,119		3,541,772
Stockholders’ equity:
Preferred stock	—		—
Common stock	105,803		105,803
Additional paid-in capital	997,534		981,104
Retained earnings (including accumulated undistributed net income of subsidiaries of $7,975,360 and $6,463,882 at December 31, 2022 and 2021, respectively)	10,161,005		9,015,135
Accumulated other comprehensive loss	(1,264,581)		(281,955)
Treasury stock, at cost	(3,251,429)		(3,167,076)
Total stockholders’ equity	6,748,332		6,653,011
Total liabilities and stockholders’ equity	$	9,770,451	$	10,194,783

________________

See Report of Independent Registered Public Accounting Firm and note to condensed financial information.

Schedule II, Continued

W. R. Berkley Corporation

Condensed Financial Information of Registrant, Continued

Statements of Income (Parent Company)

	Year Ended December 31,
(In thousands)	2022		2021		2020
Management fees and investment income including dividends from subsidiaries of $22,807, $520,251, and $617,424 for the years ended December 31, 2022, 2021 and 2020, respectively	$	32,585	$	548,512	$	654,485
Net investment gains	1,007		1,474		3,580
Other income	1,916		1,138		568
Total revenues	35,508		551,124		658,633
Operating costs and expense	192,175		214,995		166,892
Interest expense	129,633		144,837		145,417
(Loss) income before federal income taxes	(286,300)		191,292		346,324
Federal income taxes:
Federal income taxes provided by subsidiaries on a separate return basis	414,660		294,731		188,490
Federal income tax expense on a consolidated return basis	(258,776)		(226,900)		(139,679)
Net federal income tax expense	155,884		67,831		48,811
(Loss) income before undistributed equity in net income of subsidiaries	(130,416)		259,123		395,135
Equity in undistributed net income of subsidiaries	1,511,478		763,367		135,535
Net income	$	1,381,062	$	1,022,490	$	530,670

________________

See Report of Independent Registered Public Accounting Firm and note to condensed financial information.

Schedule II, Continued

W. R. Berkley Corporation

Condensed Financial Information of Registrant, Continued

Statements of Cash Flows (Parent Company)

	Year Ended December 31,
(In thousands)	2022		2021		2020
Cash flow (used in) from operating activities:
Net income	$	1,381,062	$	1,022,490	$	530,670
Adjustments to reconcile net income to net cash from operating activities:
Net investment gains	(1,007)		(1,474)		(3,580)
Depreciation and amortization	4,281		18,761		15,133
Equity in undistributed earnings of subsidiaries	(1,511,478)		(763,367)		(135,535)
Tax payments received from subsidiaries	321,682		328,851		165,495
Federal income taxes provided by subsidiaries on a separate return basis	(414,660)		(294,731)		(188,489)
Stock incentive plans	49,411		48,440		49,599
Change in:
Federal income taxes	(40,746)		(22,017)		32,069
Other assets	3,163		(33,319)		1,220
Other liabilities	87,100		(11,758)		3,964
Accrued investment income	890		755		836
Net cash (used in) from operating activities	(120,302)		292,631		471,382
Cash from (used in) investing activities:
Proceeds from sales of fixed maturity securities	543,549		402,046		414,802
Proceeds from maturities and prepayments of fixed maturity securities	83,134		654,134		258,413
Cost of purchases of fixed maturity securities	(109,289)		(1,071,823)		(747,713)
Change in loans receivable	(16,249)		(18,227)		(20,023)
Investments in and advances to subsidiaries, net	(171,062)		(1,411)		(100,704)
Change in balance due to security broker	(10,289)		10,487		(245)
Net additions to real estate, furniture & equipment	(432)		(1,496)		(81)
Other, net	368		95		103
Net cash from (used in) investing activities	319,730		(26,195)		(195,448)
Cash (used in) from financing activities:
Net proceeds from issuance of senior notes	(914)		1,029,579		736,609
Repayment and redemption of debt	(426,503)		(400,000)		(650,000)
Purchase of common treasury shares	(94,140)		(122,426)		(346,357)
Cash dividends to common stockholders	(235,192)		(355,736)		(84,147)
Other, net	(23,194)		(30,776)		(24,880)
Net cash (used in) from financing activities	(779,943)		120,641		(368,775)
Net (decrease) increase in cash and cash equivalents	(580,515)		387,077		(92,841)
Cash and cash equivalents at beginning of year	684,037		296,960		389,801
Cash and cash equivalents at end of year	$	103,522	$	684,037	$	296,960

________________

See Report of Independent Registered Public Accounting Firm and note to condensed financial information.

W. R. Berkley Corporation

Condensed Financial Information of Registrant, Continued

December 31, 2022

Note to Condensed Financial Information (Parent Company)

The accompanying condensed financial information should be read in conjunction with the notes to consolidated financial statements included elsewhere herein. Reclassifications have been made in the 2021 and 2020 financial statements as originally reported to conform them to the presentation of the 2022 financial statements.

The Company files a consolidated federal income tax return with the results of its domestic insurance subsidiaries included on a statutory basis. Under present Company policy, federal income taxes payable by subsidiary companies on a separate-return basis are paid to W. R. Berkley Corporation, and the Company pays the tax due on a consolidated return basis.

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Schedule III - Supplementary Insurance Information

12 Months Ended

Dec. 31, 2022

SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Abstract]

Schedule III - Supplementary Insurance Information

Schedule III

W. R. Berkley Corporation and Subsidiaries

Supplementary Insurance Information

December 31, 2022, 2021 and 2020

(In thousands)	Deferred Policy Acquisition Cost		Reserve for Losses and Loss Expenses		Unearned Premiums		Net Premiums Earned		Net Investment Income		Loss and Loss Expenses		Amortization of Deferred Policy Acquisition Cost		Other Operating Costs and Expenses		Net Premiums Written
December 31, 2022
Insurance	$	651,257	$	13,786,112	$	4,779,214	$	8,369,062	$	550,084	$	5,130,909	$	935,469	$	1,430,456	$	8,784,146
Reinsurance & Monoline Excess	112,229		3,225,111		518,440		1,192,367		194,272		730,841		103,434		235,836		1,219,924
Corporate, other and eliminations	—		—		—		—		34,829		—		—		256,310		—
Total	$	763,486	$	17,011,223	$	5,297,654	$	9,561,429	$	779,185	$	5,861,750	$	1,038,903	$	1,922,602	$	10,004,070
December 31, 2021
Insurance	$	566,718	$	12,379,395	$	4,348,171	$	7,077,708	$	468,821	$	4,326,403	$	830,199	$	1,202,192	$	7,743,814
Reinsurance & Monoline Excess	109,427		3,011,493		498,989		1,028,323		175,324		627,557		131,429		174,098		1,119,053
Corporate, other and eliminations	—		—		—		—		27,473		—		—		261,352		—
Total	$	676,145	$	15,390,888	$	4,847,160	$	8,106,031	$	671,618	$	4,953,960	$	961,628	$	1,637,642	$	8,862,867
December 31, 2020
Insurance	$	467,871	$	10,977,674	$	3,660,758	$	6,067,669	$	375,554	$	3,939,759	$	734,062	$	1,137,002	$	6,347,101
Reinsurance & Monoline Excess	88,297		2,806,756		412,433		863,174		146,029		528,947		170,893		103,775		915,336
Corporate, other and eliminations	—		—		—		—		62,238		—		—		244,660		—
Total	$	556,168	$	13,784,430	$	4,073,191	$	6,930,843	$	583,821	$	4,468,706	$	904,955	$	1,485,437	$	7,262,437

__________________________

See Report of Independent Registered Public Accounting Firm.

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Schedule IV - Reinsurance

12 Months Ended

Dec. 31, 2022

SEC Schedule, 12-17, Insurance Companies, Reinsurance [Abstract]

Schedule IV - Reinsurance

Schedule IV

W. R. Berkley Corporation and Subsidiaries

Reinsurance

Years ended December 31, 2022, 2021 and 2020

	Premiums Written
(In thousands, other than percentages)	Direct Amount		Ceded to Other Companies		Assumed from Other Companies		Net Amount		Percentage of Amount Assumed to Net
Year ended December 31, 2022
Insurance	$	10,363,730	$	1,799,639	$	220,055	$	8,784,146	2.5	%
Reinsurance & Monoline Excess	331,408		105,343		993,859		1,219,924		81.5	%
Total	$	10,695,138	$	1,904,982	$	1,213,914	$	10,004,070	12.1	%
Year ended December 31, 2021
Insurance	$	9,220,683	$	1,727,854	$	250,985	$	7,743,814	3.2	%
Reinsurance & Monoline Excess	310,367		109,413		918,099		1,119,053		82.0	%
Total	$	9,531,050	$	1,837,267	$	1,169,084	$	8,862,867	13.2	%
Year ended December 31, 2020
Insurance	$	7,625,981	$	1,490,395	$	211,515	$	6,347,101	3.3	%
Reinsurance & Monoline Excess	248,069		94,815		762,082		915,336		83.3	%
Total	$	7,874,050	$	1,585,210	$	973,597	$	7,262,437	13.4	%

___________________________

See Report of Independent Registered Public Accounting Firm.

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Schedule V - Valuation and Qualifying Accounts

12 Months Ended

Dec. 31, 2022

SEC Schedule, 12-09, Valuation and Qualifying Accounts [Abstract]

Schedule V - Valuation and Qualifying Accounts

Schedule V

W. R. Berkley Corporation and Subsidiaries

Valuation and Qualifying Accounts

Years ended December 31, 2022, 2021 and 2020

(In thousands)	Opening Allowance Balance		Cumulative Effect Adjustment - CECL		Additions- Charged to Expense		Deduction- Amounts Written Off		Ending Allowance Balance
Year ended December 31, 2022
Premiums, fees and other receivables	$	30,860	$	—	$	13,734	$	(7,663)	$	36,931
Due from reinsurers	7,713		—		352		(1)		8,064
Deferred federal and foreign income taxes	75,230		—		1,046		(29,110)		47,166
Fixed maturity securities	22,625		—		15,152		(311)		37,466
Loan loss reserves	1,718		—		73		—		1,791
Total	$	138,146	$	—	$	30,357	$	(37,085)	$	131,418
Year ended December 31, 2021
Premiums, fees and other receivables	$	27,855	$	—	$	10,807	$	(7,802)	$	30,860
Due from reinsurers	7,801		—		334		(422)		7,713
Deferred federal and foreign income taxes	79,488		—		6,011		(10,269)		75,230
Fixed maturity securities	2,580		—		21,013		(968)		22,625
Loan loss reserves	5,437		—		—		(3,719)		1,718
Total	$	123,161	$	—	$	38,165	$	(23,180)	$	138,146
Year ended December 31, 2020
Premiums, fees and other receivables	$	26,546	$	1,270	$	6,783	$	(6,744)	$	27,855
Due from reinsurers	690		5,927		1,187		(3)		7,801
Deferred federal and foreign income taxes	33,250		—		46,756		(518)		79,488
Fixed maturity securities	—		35,714		16,909		(50,043)		2,580
Loan loss reserves	2,146		(357)		3,648		—		5,437
Total	$	62,632	$	42,554	$	75,283	$	(57,308)	$	123,161

_______________________

See Report of Independent Registered Public Accounting Firm.

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Schedule VI - Supplementary Information Concerning Property-Casualty Insurance Operations

12 Months Ended

Dec. 31, 2022

SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Abstract]

Schedule VI - Supplementary Information Concerning Property-Casualty Insurance Operations

Schedule VI

W. R. Berkley Corporation and Subsidiaries

Supplementary Information Concerning Property-Casualty Insurance Operations

Years Ended December 31, 2022, 2021 and 2020

(In thousands)	2022		2021		2020
Deferred policy acquisition costs	$	763,486	$	676,145	$	556,168
Reserves for losses and loss expenses	17,011,223		15,390,888		13,784,430
Unearned premiums	5,297,654		4,847,160		4,073,191
Net premiums earned	9,561,429		8,106,031		6,930,843
Net investment income	779,185		671,618		583,821
Losses and loss expenses incurred:
Current year	5,774,713		4,921,191		4,432,937
Prior years	54,511		863		627
Loss reserve discount accretion	32,526		31,906		35,142
Amortization of deferred policy acquisition costs	1,038,903		961,628		904,955
Paid losses and loss expenses	4,347,910		3,665,694		3,598,649
Net premiums written	10,004,070		8,862,867		7,262,437

___________________

See Report of Independent Registered Public Accounting Firm.

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Summary of Significant Accounting Policies (Policies)

12 Months Ended

Dec. 31, 2022

Accounting Policies [Abstract]

Principles of consolidation and basis of presentation

Principles of consolidation and basis of presentation The consolidated financial statements, which include the accounts of W. R. Berkley Corporation and its subsidiaries (the "Company"), have been prepared on the basis of U.S. generally accepted accounting principles ("GAAP"). All significant intercompany transactions and balances have been eliminated. Reclassifications have been made in the 2021 and 2020 financial statements as originally reported to conform to the presentation of the 2022 financial statements. Shares outstanding and per share amounts have been adjusted to reflect the 3-for-2 common stock split effected on March 23, 2022. In the fourth quarter of 2022, the Company adjusted the proceeds from sale of fixed maturity securities and purchase of fixed maturity securities lines within the consolidated statements of cash flows for an incremental inter-company elimination which resulted in no impact on the total amount of investing activities. For the years ended December 31, 2021 and 2020, the Company did not correct these line items as the effects were not material and had no impact on the total amount of investing activities.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 disclosures of contingent assets and liabilities at the date of the financial statements and the revenues and expenses reflected during the reporting period. The most significant items on our balance sheet that involve a greater degree of accounting estimates that are subject to change in the future are the valuation of investments, allowance for expected credit losses on investments, reserves for losses and loss expenses and premium estimates. Actual results could differ from those estimates.

Revenue recognition

Revenue recognition

Insurance premiums are recognized as written at the inception of the policy. Reinsurance premiums are estimated based upon information received from ceding companies, and subsequent differences from such estimates are recorded in the period they are determined. Insurance and reinsurance premiums are primarily earned on a pro rata basis over the policy term. Fees for services are earned over the period that the services are provided. Premiums and fees receivable are reported net of an allowance for expected credit losses, with the allowance being estimated based on current and future expected conditions, historical loss data and specific identification of collectability concerns where applicable. Changes in the allowance are reported within other operating costs and expenses.

Audit premiums are recognized when they are reliably determinable. The change in accruals for earned but unbilled audit premiums increased (decreased) net premiums written and premiums earned by $25 million, $10 million and $(27) million in 2022, 2021 and 2020, respectively.

Revenues from non-insurance businesses are derived from businesses engaged in the distribution of promotional merchandise, world-wide textile solutions, and aircraft services provided to the general, commercial and military aviation markets. These aircraft services include (i) the distribution, manufacturing, repair and overhaul of aircraft parts and components, (ii) the sale of new and used aircraft, and (iii) avionics, fuel, maintenance, storage and charter services. Revenue is recognized upon the shipment of products and parts, the delivery of aircraft, the delivery of fuel, and over the completion period of services.

Insurance service fee revenue represents servicing fees for program administration and claims management services provided by the Company, including workers' compensation assigned risk plans, as well as insurance brokerage and risk management services. Fees for program administration, claims management and risk management services are primarily recognized ratably over the related contract period for which the underlying services are rendered. Commissions for insurance brokerage are generally recognized when the underlying insurance policy is effective.

Cash and cash equivalents

Cash and cash equivalentsCash equivalents consist of funds invested in money market accounts and investments with an effective maturity of three months or less when purchased.

Investments

InvestmentsFixed maturity securities classified as available for sale are carried at estimated fair value, with unrealized gains and losses, net of applicable income taxes, excluded from earnings and reported as a component of comprehensive income and a separate component of stockholders' equity. Fixed maturity securities that the Company has the positive intent and ability to

hold to maturity are classified as held to maturity and reported at amortized cost. Investment income from fixed maturity securities is recognized based on the constant effective yield method. Premiums and discounts on mortgage-backed securities are adjusted for the effects of actual and anticipated prepayments on a retrospective basis.

Equity securities with readily determinable fair values are measured at fair value, with changes in the fair value recognized in net income within net realized and unrealized gains on investments.

Fixed maturity securities that the Company purchased with the intent to sell in the near-term are classified as trading account securities and are reported at estimated fair value. Realized and unrealized gains and losses from trading activity are reported as net investment income and are recorded at the trade date. Short sales and short call options are presented as trading securities sold but not yet purchased. Unsettled trades and the net margin balances held by the clearing broker are presented as a trading account receivable from brokers and clearing organizations.

Investment funds are carried under the equity method of accounting. The Company's share of the earnings or losses of investment funds is primarily reported on a one-quarter lag in order to facilitate the timely completion of the Company's consolidated financial statements.

Loans receivable primarily represent commercial real estate mortgage loans and bank loans and are carried at amortized cost. The accrual of interest on loans receivable is discontinued if the loan is 90 days past due based on the contractual terms of the loan unless the loan is adequately secured and in process of collection. In general, loans are placed on non-accrual status or charged off at an earlier date if collection of principal or interest is considered doubtful. Interest on these loans is accounted for on a cash basis until qualifying for return to accrual status. Loans are returned to accrual status when all principal and interest amounts contractually due are brought current and future payments are reasonably assured.

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.” Fair value of investments is determined based on a fair value hierarchy that prioritizes the use of observable inputs over the use of unobservable inputs and requires the use of observable inputs when available. (See Note 13 of the Notes to Consolidated Financial Statements.)

Realized gains or losses represent the difference between the cost of securities sold and the proceeds realized upon sale and are recorded at the trade date. The Company uses primarily the first-in, first-out method to determine the cost of securities sold.

For available for sale securities in an unrealized loss position where the Company intends to sell, or it is more likely than not that it will be required to sell the security before recovery in value, the amortized cost basis is written down to fair value through net investment gains. For available for sale securities in an unrealized loss position where the Company does not intend to sell, or it is more likely than not that it will not be required to sell the security before recovery in value, the Company evaluates whether the decline in fair value has resulted from credit losses or all other factors (non-credit factors). In making this assessment, the Company considers the extent to which fair value is less than amortized cost, changes to the rating of the security by a rating agency, and adverse conditions specifically related to the security, among other factors. If this assessment indicates that a credit loss exists, the present value of cash flows expected to be collected from the security are compared to the amortized cost basis of the security. If the present value of cash flows expected to be collected is less than the amortized cost basis, an allowance for expected credit losses is recorded for the credit loss through net investment gains, limited by the amount that the fair value is less than the amortized cost basis. The allowance is adjusted for any change in expected credit losses and subsequent recoveries through net investment gains. The impairment related to non-credit factors is recognized in comprehensive income (loss).

For financial assets carried at amortized cost, which includes held to maturity securities and loans receivable, the Company estimates an allowance for expected credit losses based on relevant information about past events, including historical loss experience, current conditions and forecasts that affect the expected collectability of the amortized cost of the financial asset. The allowance for expected credit losses is presented as a reduction to amortized cost of the financial asset in the consolidated balance sheet and changes to the estimate for expected credit losses are recognized through net investment gains.

The Company’s credit assessment of allowance for expected credit losses uses a third party model for available for sale and held to maturity securities, as well as loans receivable. The allowance for expected credit losses is generally based on the performance of the underlying collateral under various economic and default scenarios that involve subjective judgments and estimates by management. Modeling these securities involves various factors, such as projected default rates, the nature and realizable value of the collateral, if any, the ability of the issuer to make scheduled payments, historical performance and other relevant economic and performance factors. A discounted cash flow analysis is used to ascertain the amount of the allowance for expected credit losses, if any. In general, the model reverts to the rating-level long-term average marginal default rates based on 10 years of historical data, beyond the forecast period. For other inputs, the model in most cases reverts to the baseline long-

term assumptions linearly over 5 years beyond the forecast period. The long-term assumptions are based on the historical averages.

The Company reports accrued investment income separately from fixed maturity securities, and has elected not to measure an allowance for expected credit losses for accrued investment income. Accrued investment income is written off through net investment income at the time the issuer of the bond defaults or is expected to default on payments.

Real estate held for investment purposes is initially recorded at the purchase price, which is generally fair value, and is subsequently reported at cost less accumulated depreciation. Real estate taxes, interest and other costs incurred during development and construction are capitalized. Buildings are depreciated on a straight-line basis over the estimated useful lives of the building. Minimum rental income is recognized on a straight-line basis over the lease term. Income and expenses from real estate are reported as net investment income. The carrying value of real estate is reviewed for impairment and an impairment loss is recognized if the estimated undiscounted cash flows from the use and disposition of the property are less than the carrying value of the property.

Per share data

Per share data The Company presents both basic and diluted net income per share (“EPS”) amounts. Basic EPS is calculated by dividing net income by weighted average number of common shares outstanding during the year (including 11,416,856 common shares held in a grantor trust). The common shares held in the grantor trust are for delivery upon settlement of vested but mandatorily deferred restricted stock units ("RSUs"). Shares held by the grantor trust do not affect diluted shares outstanding since the shares deliverable under vested RSUs were already included in diluted shares outstanding. Diluted EPS is based upon the weighted average number of basic and common equivalent shares outstanding during the year and is calculated using the treasury stock method for stock incentive plans. Common equivalent shares are excluded from the computation in periods in which they have an anti-dilutive effect.

Deferred policy acquisition costs

Deferred policy acquisition costs Acquisition costs associated with the successful acquisition of new and renewed insurance and reinsurance contracts are deferred and amortized ratably over the terms of the related contracts. Ceding commissions received on reinsurance contracts are netted against acquisition costs and are recognized ratably over the life of the contract. Deferred policy acquisition costs are presented net of unearned ceding commissions. Deferred policy acquisition costs are comprised primarily of commissions, as well as employment-related underwriting costs and premium taxes. Deferred policy acquisition costs are reviewed to determine if they are recoverable from future income and, if not, are charged to expense. The recoverability of deferred policy acquisition costs is evaluated separately by each of our operating companies. Future investment income is taken into account in measuring the recoverability of deferred policy acquisition costs.

Reserves for losses and loss expenses

Reserves for losses and loss expenses Reserves for losses and loss expenses are an accumulation of amounts determined on the basis of (1) evaluation of claims for business written directly by the Company; (2) estimates received from other companies for reinsurance assumed by the Company; and (3) estimates for losses incurred but not reported (based on Company and industry experience). These estimates are periodically reviewed and, as experience develops and new information becomes known, the reserves are adjusted as necessary. Such adjustments are reflected in the statements of income in the period in which they are determined. The Company discounts its reserves for excess and assumed workers' compensation claims using a risk-free or statutory rate. (See Note 14 of Notes to Consolidated Financial Statements.)

Reinsurance ceded

Reinsurance ceded The unearned portion of premiums ceded to reinsurers is reported as prepaid reinsurance premiums and earned ratably over the policy term. The estimated amounts of reinsurance recoverable on unpaid losses are reported as due from reinsurers. To the extent any reinsurer does not meet its obligations under reinsurance agreements, the Company must discharge its liability. Amounts due from reinsurers are reflected net of funds held where the right of offset is present. The Company has provided an allowance for expected credit losses for estimated uncollectible reinsurance. The allowance is estimated based on the composition of the recoverable balance, considering reinsurer credit ratings, collateral received from financial institutions and funds withheld arrangements, length of collection periods, probability of default methodology, and specific identification of collectability concerns. Changes in the allowance are reported within losses and loss expenses.

Deposit accounting

Deposit accounting Contracts that do not meet the risk transfer requirements of GAAP are accounted for using the deposit accounting method. Under this method, an asset or liability is recognized at the inception of the contract based on consideration paid or received. The amount of the deposit asset or liability is adjusted at subsequent reporting dates using the interest method with a corresponding credit or charge to interest income or expense.

Federal and foreign income taxes

Federal and foreign income taxesThe Company files a consolidated income tax return in the U.S. and foreign tax returns in countries where it has overseas operations. The Company's method of accounting for income taxes is the asset and liability method. Under this method, deferred tax assets and liabilities are measured using tax rates currently in effect or expected to apply in the years in which those temporary differences are expected to reverse. Interest and penalties, if any, are reported as income tax expense. The Company believes there are no tax positions that would require disclosure under GAAP. Deferred tax assets are reduced by a valuation allowance if it is more likely than not that all or a portion of the deferred tax assets will not be realized.

Foreign currency

Foreign currency Gains and losses resulting from foreign currency transactions (transactions denominated in a currency other than the entity's functional currency) are reported on the statements of income as other operating costs and expenses. Unrealized gains or losses resulting from translating the results of non-U.S. dollar denominated operations are reported in accumulated other comprehensive income. Revenues and expenses denominated in currencies other than U.S. dollars are generally translated at the weighted average exchange rate during the year. Assets and liabilities are translated at the rate of exchange in effect at the balance sheet date.

Property, furniture and equipment

Property, furniture and equipment Property, furniture and equipment are carried at cost less accumulated depreciation. Depreciation is calculated using the estimated useful lives of the respective assets.

Comprehensive income

Comprehensive incomeComprehensive income encompasses all changes in stockholders' equity (except those arising from transactions with stockholders) and includes net income, net unrealized holding gains or losses on available for sale securities and unrealized foreign currency translation adjustments.

Goodwill and other intangible assets

Goodwill and other intangible assets Goodwill and other intangible assets are tested for impairment on an annual basis and at interim periods where circumstances require.

Stock options

Restricted stock units The costs resulting from all share-based payment transactions with employees are recognized in the consolidated financial statements using a fair-value-based measurement method. Compensation cost is recognized for financial reporting purposes over the period in which the employee is required to provide service in exchange for the award (generally the vesting period).

Recent accounting pronouncements

Recent accounting pronouncements

Recently adopted accounting pronouncements:

All accounting and reporting standards that became effective in 2022 were either not applicable to the Company or their adoption did not have a material impact on the Company.

Accounting and reporting standards that are not yet effective:

All recently issued but not yet effective accounting and reporting standards are either not applicable to the Company or are not expected to have a material impact on the Company.

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Acquisitions (Tables)

12 Months Ended

Dec. 31, 2022

Business Combination and Asset Acquisition [Abstract]

Schedule of Estimated Fair Value of Net Assets Acquired and Liabilities Assumed

The following table summarizes the estimated fair value of net assets acquired and liabilities assumed for the business combination completed in 2022:

(In thousands)	2022
Cash and cash equivalents	$	1,564
Real estate, furniture and equipment	6,000
Intangible assets	25,600
Goodwill	15,857
Other assets	20,349
Total assets acquired	69,370
Other liabilities assumed	(12,420)
Noncontrolling interest	(5,814)
Net assets acquired	$	51,136

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Consolidated Statement of Comprehensive Income (Tables)

12 Months Ended

Dec. 31, 2022

Equity [Abstract]

Schedule of Accumulated Other Comprehensive (Loss) Income

The following tables present the components of the changes in accumulated other comprehensive (loss) income as of and for the years ended December 31, 2022 and 2021:

(In thousands)
December 31, 2022	Unrealized Investment (Losses) Gains			Currency Translation Adjustments		Accumulated Other Comprehensive Loss
Changes in AOCI
Beginning of period	$	90,900		$	(372,855)	$	(281,955)
Other comprehensive (loss) income before reclassifications	(1,054,838)			1,179		(1,053,659)
Amounts reclassified from AOCI	71,035			—		71,035
Other comprehensive (loss) income	(983,803)			1,179		(982,624)
Unrealized investment loss related to noncontrolling interest	(2)			—		(2)
Ending balance	$	(892,905)		$	(371,676)	$	(1,264,581)
Amounts reclassified from AOCI
Pre-tax	$	89,918	(1)	$	—	$	89,918
Tax effect	(18,883)		(2)	—		(18,883)
After-tax amounts reclassified	$	71,035		$	—	$	71,035
Other comprehensive (loss) income
Pre-tax	$	(1,248,128)		$	1,179	$	(1,246,949)
Tax effect	264,325			—		264,325
Other comprehensive (loss) income	$	(983,803)		$	1,179	$	(982,624)

(In thousands)
December 31, 2021	Unrealized Investment Gains (Losses)			Currency Translation Adjustments		Accumulated Other Comprehensive Loss
Changes in AOCI
Beginning of period	$	289,714		$	(351,886)	$	(62,172)
Other comprehensive loss before reclassifications	(222,359)			(20,969)		(243,328)
Amounts reclassified from AOCI	23,547			—		23,547
Other comprehensive loss	(198,812)			(20,969)		(219,781)
Unrealized investment loss related to non-controlling interest	(2)			—		(2)
Ending balance	$	90,900		$	(372,855)	$	(281,955)
Amounts reclassified from AOCI
Pre-tax	$	29,806	(1)	$	—	$	29,806
Tax effect	(6,259)		(2)	—		(6,259)
After-tax amounts reclassified	$	23,547		$	—	$	23,547
Other comprehensive loss
Pre-tax	$	(254,939)		$	(20,969)	$	(275,908)
Tax effect	56,127			—		56,127
Other comprehensive loss	$	(198,812)		$	(20,969)	$	(219,781)

_______________

(1) Net investment gains in the consolidated statements of income.

(2) Income tax expense in the consolidated statements of income.

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Investments In Fixed Maturity Securities (Tables)

12 Months Ended

Dec. 31, 2022

Investments, Debt and Equity Securities [Abstract]

Investments In Fixed Maturity Securities

At December 31, 2022 and 2021, investments in fixed maturity securities were as follows:

(In thousands)	Amortized Cost		Allowance for Expected Credit Losses (1)		Gross Unrealized				Fair Value		Carrying Value
					Gains		Losses
December 31, 2022
Held to maturity:
State and municipal	$	47,802	$	(114)	$	4,239	$	—	$	51,927	$	47,688
Residential mortgage-backed	3,608		—		38		—		3,646		3,608
Total held to maturity	51,410		(114)		4,277		—		55,573		51,296
Available for sale:
U.S. government and government agency	960,479		—		937		(69,158)		892,258		892,258
State and municipal:
Special revenue	1,837,309		—		3,662		(119,474)		1,721,497		1,721,497
State general obligation	387,709		—		2,651		(21,335)		369,025		369,025
Pre-refunded	156,106		—		2,741		(7)		158,840		158,840
Corporate backed	210,228		—		334		(10,923)		199,639		199,639
Local general obligation	454,983		—		2,967		(16,853)		441,097		441,097
Total state and municipal	3,046,335		—		12,355		(168,592)		2,890,098		2,890,098
Mortgage-backed securities:
Residential	1,308,019		(18)		395		(171,595)		1,136,801		1,136,801
Commercial	547,757		—		215		(19,363)		528,609		528,609
Total mortgage-backed securities	1,855,776		(18)		610		(190,958)		1,665,410		1,665,410
Asset-backed securities	4,132,365		—		2,730		(152,322)		3,982,773		3,982,773
Corporate:
Industrial	3,491,645		(1,704)		4,439		(241,381)		3,252,999		3,252,999
Financial	2,585,247		(2,997)		5,505		(117,383)		2,470,372		2,470,372
Utilities	586,066		—		1,307		(36,325)		551,048		551,048
Other	441,230		—		—		(11,657)		429,573		429,573
Total corporate	7,104,188		(4,701)		11,251		(406,746)		6,703,992		6,703,992
Foreign government	1,564,930		(32,633)		4,283		(135,058)		1,401,522		1,401,522
Total available for sale	18,664,073		(37,352)		32,166		(1,122,834)		17,536,053		17,536,053
Total investments in fixed maturity securities	$	18,715,483	$	(37,466)	$	36,443	$	(1,122,834)	$	17,591,626	$	17,587,349

(In thousands)	Amortized Cost		Allowance for Expected Credit Losses (1)		Gross Unrealized				Fair Value		Carrying Value
					Gains		Losses
December 31, 2021
Held to maturity:
State and municipal	$	69,539	$	(387)	$	10,813	$	—	$	79,965	$	69,152
Residential mortgage-backed	4,829		—		632		—		5,461		4,829
Total held to maturity	74,368		(387)		11,445		—		85,426		73,981
Available for sale:
U.S. government and government agency	851,128		—		8,509		(4,294)		855,343		855,343
State and municipal:
Special revenue	2,016,382		—		62,961		(5,706)		2,073,637		2,073,637
State general obligation	388,110		—		23,152		(1,015)		410,247		410,247
Pre-refunded	202,633		—		14,891		(574)		216,950		216,950
Corporate backed	166,943		—		7,191		(1,532)		172,602		172,602
Local general obligation	401,974		—		29,455		(732)		430,697		430,697
Total state and municipal	3,176,042		—		137,650		(9,559)		3,304,133		3,304,133
Mortgage-backed securities:
Residential	940,744		—		9,896		(11,321)		939,319		939,319
Commercial	125,709		—		3,388		(341)		128,756		128,756
Total mortgage-backed securities	1,066,453		—		13,284		(11,662)		1,068,075		1,068,075
Asset-backed securities	4,504,950		—		4,409		(18,794)		4,490,565		4,490,565
Corporate:
Industrial	3,231,520		(16)		62,751		(21,092)		3,273,163		3,273,163
Financial	1,739,282		—		30,709		(6,591)		1,763,400		1,763,400
Utilities	396,242		—		13,262		(3,202)		406,302		406,302
Other	154,210		—		125		(1,525)		152,810		152,810
Total corporate	5,521,254		(16)		106,847		(32,410)		5,595,675		5,595,675
Foreign government	1,277,109		(22,222)		7,508		(47,494)		1,214,901		1,214,901
Total available for sale	16,396,936		(22,238)		278,207		(124,213)		16,528,692		16,528,692
Total investments in fixed maturity securities	$	16,471,304	$	(22,625)	$	289,652	$	(124,213)	$	16,614,118	$	16,602,673

Debt Securities, Held-to-maturity, Allowance for Credit Loss

The following table presents the rollforward of the allowance for expected credit losses for held to maturity securities for the years ended December 31, 2022 and 2021:

	State and Municipal
(In thousands)	2022		2021
Allowance for expected credit losses, beginning of period	$	387	$	798
Change in allowance for expected credit losses	(273)		(411)
Allowance for expected credit losses, end of period	$	114	$	387

Debt Securities, Available-for-sale, Allowance for Credit Loss

The following table presents the rollforward of the allowance for expected credit losses for available for sale securities for the years ended December 31, 2022 and 2021:

	2022								2021
(In thousands)	Foreign Government		Corporate		Mortgage- Backed		Total		Foreign Government		Corporate		Total
Allowance for expected credit losses, beginning of period	$	22,222	$	16	$	—	$	22,238	$	1,264	$	518	$	1,782
Expected credit losses on securities for which credit losses were not previously recorded	1,910		2,648		21		4,579		19,072		16		19,088
Expected credit losses (gains) on securities for which credit losses were previously recorded	8,534		2,042		(3)		10,573		2,438		(513)		1,925
Reduction due to disposals	(33)		(5)		—		(38)		(552)		(5)		(557)
Allowance for expected credit losses, end of period	$	32,633	$	4,701	$	18	$	37,352	$	22,222	$	16	$	22,238

The Amortized Cost And Fair Value of Fixed Maturity Securities

The amortized cost and fair value of fixed maturity securities at December 31, 2022, by contractual maturity, are shown below. Actual maturities may differ from contractual maturities because certain issuers may have the right to call or prepay obligations.

(In thousands)	Amortized Cost (1)		Fair Value
Due in one year or less	$	1,570,480	$	1,527,090
Due after one year through five years	8,746,271		8,299,945
Due after five years through ten years	4,395,236		4,119,772
Due after ten years	2,143,998		1,975,763
Mortgage-backed securities	1,859,384		1,669,056
Total	$	18,715,369	$	17,591,626

________________

(1) Amortized cost is reduced by the allowance for expected credit losses of $114 thousand related to held to maturity securities.

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Investments In Equity Securities (Tables)

12 Months Ended

Dec. 31, 2022

Investments, Debt and Equity Securities [Abstract]

Schedule of Investments in Equity Securities

At December 31, 2022 and 2021, investments in equity securities were as follows:

(In thousands)	Cost		Gross Unrealized				Fair Value		Carrying Value
			Gains		Losses
December 31, 2022
Common stocks	$	855,987	$	192,165	$	(65,401)	$	982,751	$	982,751
Preferred stocks	259,341		1,053		(57,251)		203,143		203,143
Total	$	1,115,328	$	193,218	$	(122,652)	$	1,185,894	$	1,185,894
December 31, 2021
Common stocks	$	619,896	$	92,401	$	(16,894)	$	695,403	$	695,403
Preferred stocks	250,149		7,874		(12,183)		245,840		245,840
Total	$	870,045	$	100,275	$	(29,077)	$	941,243	$	941,243

Investment funds consist of the following:

	Carrying Value as of December 31,				Income (Loss) From Investment Funds For the Year Ended
(In thousands)	2022		2021		2022		2021		2020
Financial services	$	465,683	$	431,818	$	34,030	$	98,893	$	34,763
Transportation	336,753		336,688		53,180		42,424		(616)
Real estate	204,644		273,690		48,723		29,484		7,543
Energy	116,432		150,224		1,425		22,118		(11,039)
Infrastructure	115,428		12,314		4,603		1,372		1,672
Other funds	369,608		275,878		3,138		25,723		21,930
Total	$	1,608,548	$	1,480,612	$	145,099	$	220,014	$	54,253

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Net Investment Income (Tables)

12 Months Ended

Dec. 31, 2022

Net Investment Income [Abstract]

Net Investment Income

Net investment income consists of the following:

(In thousands)	2022		2021		2020
Investment income (loss) earned on:
Fixed maturity securities, including cash and cash equivalents and loans receivable	$	549,281	$	382,001	$	426,563
Investment funds	145,099		220,014		54,253
Arbitrage trading account	45,213		37,676		77,931
Real estate	(3,087)		7,703		24,027
Equity securities	52,600		32,020		10,172
Gross investment income	789,106		679,414		592,946
Investment expense	(9,921)		(7,796)		(9,125)
Net investment income	$	779,185	$	671,618	$	583,821

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Investment Funds (Tables)

12 Months Ended

Dec. 31, 2022

Equity Method Investments and Joint Ventures [Abstract]

Schedule of Investment Funds

At December 31, 2022 and 2021, investments in equity securities were as follows:

(In thousands)	Cost		Gross Unrealized				Fair Value		Carrying Value
			Gains		Losses
December 31, 2022
Common stocks	$	855,987	$	192,165	$	(65,401)	$	982,751	$	982,751
Preferred stocks	259,341		1,053		(57,251)		203,143		203,143
Total	$	1,115,328	$	193,218	$	(122,652)	$	1,185,894	$	1,185,894
December 31, 2021
Common stocks	$	619,896	$	92,401	$	(16,894)	$	695,403	$	695,403
Preferred stocks	250,149		7,874		(12,183)		245,840		245,840
Total	$	870,045	$	100,275	$	(29,077)	$	941,243	$	941,243

Investment funds consist of the following:

	Carrying Value as of December 31,				Income (Loss) From Investment Funds For the Year Ended
(In thousands)	2022		2021		2022		2021		2020
Financial services	$	465,683	$	431,818	$	34,030	$	98,893	$	34,763
Transportation	336,753		336,688		53,180		42,424		(616)
Real estate	204,644		273,690		48,723		29,484		7,543
Energy	116,432		150,224		1,425		22,118		(11,039)
Infrastructure	115,428		12,314		4,603		1,372		1,672
Other funds	369,608		275,878		3,138		25,723		21,930
Total	$	1,608,548	$	1,480,612	$	145,099	$	220,014	$	54,253

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Real Estate (Tables)

12 Months Ended

Dec. 31, 2022

Real Estate [Abstract]

Schedule of real estate properties

Investment in real estate represents directly owned property held for investment, as follows:    

	As of December 31,
(In thousands)	2022		2021
Properties in operation	$	1,114,167	$	1,626,826
Properties under development	226,455		225,682
Total	$	1,340,622	$	1,852,508

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Loans Receivable Loans Receivable (Tables)

12 Months Ended

Dec. 31, 2022

Receivables [Abstract]

Schedule of Loans Receivable

At December 31, 2022 and 2021, loans receivable were as follows:

	As of December 31,
(In thousands)	2022		2021
Amortized cost (net of allowance for expected credit losses):
Real estate loans	$	173,616	$	89,431
Commercial loans	19,386		25,741
Total	$	193,002	$	115,172
Fair value:
Real estate loans	$	168,595	$	90,793
Commercial loans	19,386		25,741
Total	$	187,981	$	116,534

Financing Receivable, Allowance for Credit Loss

The following table presents the rollforward of the allowance for expected credit losses for loans receivable for the years ended December 31, 2022 and 2021:

	2022						2021
(In thousands)	Real Estate Loans		Commercial Loans		Total		Real Estate Loans		Commercial Loans		Total
Allowance for expected credit losses, beginning of period	$	1,362	$	356	$	1,718	$	1,683	$	3,754	$	5,437
Change in allowance for expected credit losses	(262)		335		73		(321)		(3,398)		(3,719)
Allowance for expected credit losses, end of period	$	1,100	$	691	$	1,791	$	1,362	$	356	$	1,718

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Net Investment Gains (Tables)

12 Months Ended

Dec. 31, 2022

Realized and Unrealized Investment Gains (Losses) [Abstract]

Realized And Unrealized Investment Gains (Losses)

Net investment gains were as follows:

(In thousands)	2022		2021		2020
Net investment gains:
Fixed maturity securities:
Gains	$	4,224	$	18,981	$	27,819
Losses	(11,654)		(6,975)		(56,096)
Equity securities (1):
Net realized (losses) gains on investment sales	(12,879)		16,365		32,647
Change in unrealized losses	(632)		(38,455)		(25,868)
Investment funds	12,407		44,778		31,481
Real estate (2)	293,525		94,911		101,554
Loans receivable	(32)		(881)		—
Other	(67,648)		(21,766)		(38,023)
Net realized and unrealized gains on investments in earnings before allowance for expected credit losses	217,311		106,958		73,514
Change in allowance for expected credit losses on investments:
Fixed maturity securities	(14,841)		(20,045)		33,134
Loans receivable	(73)		3,719		(3,648)
Change in allowance for expected credit losses on investments	(14,914)		(16,326)		29,486
Net investment gains	202,397		90,632		103,000
Income tax expense	(42,670)		(17,710)		(21,630)
After-tax net investment gains	$	159,727	$	72,922	$	81,370

Change in unrealized investment (losses) gains:
Fixed maturity securities without allowance for expected credit losses	$	(1,216,292)	$	(262,221)	$	134,129
Fixed maturity securities with allowance for expected credit losses	(28,370)		10,124		32,004
Investment funds	(2,019)		(1,270)		2,280
Other	(1,447)		(1,572)		(3,768)
Total change in unrealized investment (losses) gains	(1,248,128)		(254,939)		164,645
Income tax benefit (expense)	264,325		56,127		(24,395)
Noncontrolling interests	(2)		(2)		(2)
After-tax change in unrealized investment (losses) gains	$	(983,805)	$	(198,814)	$	140,248

____________________

(1) The net realized gains or losses on investment sales represent the total gains or losses from the purchase dates of the equity securities. The change in unrealized (losses) gains consists of two components: (i) the reversal of the gain or loss recognized in previous periods on equity securities sold and (ii) the change in unrealized gain or loss resulting from mark-to-market adjustments on equity securities still held.

(2) During March 2022, the Company realized a gain on the sale of a real estate investment in London, U.K. of $251 million, net of transaction expenses and the foreign currency impact, including the reversal of the currency translation adjustment.

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Fixed Maturity Securities in an Unrealized Loss Position (Tables)

12 Months Ended

Dec. 31, 2022

Investments, Debt and Equity Securities [Abstract]

Securities In An Unrealized Loss Position

The following tables summarize all fixed maturity securities in an unrealized loss position at December 31, 2022 and 2021 by the length of time those securities have been continuously in an unrealized loss position.

	Less Than 12 Months				12 Months or Greater				Total
(In thousands)	Fair Value		Gross Unrealized Losses		Fair Value		Gross Unrealized Losses		Fair Value		Gross Unrealized Losses
December 31, 2022
U.S. government and government agency	$	285,391	$	10,219	$	453,520	$	58,939	$	738,911	$	69,158
State and municipal	1,720,443		89,272		598,797		79,320		2,319,240		168,592
Mortgage-backed securities	1,099,549		75,430		473,318		115,528		1,572,867		190,958
Asset-backed securities	1,569,647		48,390		2,176,638		103,932		3,746,285		152,322
Corporate	3,690,856		150,115		2,349,281		256,631		6,040,137		406,746
Foreign government	477,672		29,815		711,786		105,243		1,189,458		135,058
Fixed maturity securities	$	8,843,558	$	403,241	$	6,763,340	$	719,593	$	15,606,898	$	1,122,834
December 31, 2021
U.S. government and government agency	$	487,712	$	4,026	$	17,021	$	268	$	504,733	$	4,294
State and municipal	502,333		7,403		29,547		2,156		531,880		9,559
Mortgage-backed securities	558,751		6,900		106,130		4,762		664,881		11,662
Asset-backed securities	3,832,944		18,503		75,385		291		3,908,329		18,794
Corporate	2,582,860		29,322		51,095		3,088		2,633,955		32,410
Foreign government	758,975		15,793		82,057		31,701		841,032		47,494
Fixed maturity securities	$	8,723,575	$	81,947	$	361,235	$	42,266	$	9,084,810	$	124,213

Non-Investment Grade Fixed Maturity Securities

A summary of the Company’s non-investment grade fixed maturity securities that were in an unrealized loss position at December 31, 2022 is presented in the table below:

($ in thousands)	Number of Securities	Aggregate Fair Value		Gross Unrealized Loss
Foreign government	36	$	119,332	$	73,900
Corporate	10	39,347		4,649
State and municipal	1	12,247		2,756
Mortgage-backed securities	14	4,464		269
Asset-backed securities	1	16		10
Total	62	$	175,406	$	81,584

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Fair Value Measurements (Tables)

12 Months Ended

Dec. 31, 2022

Fair Value Disclosures [Abstract]

Assets And Liabilities Measured At Fair value, On A Recurring Basis

The following tables present the assets and liabilities measured at fair value as of December 31, 2022 and 2021 by level:

(In thousands)	Total		Level 1		Level 2		Level 3
December 31, 2022
Assets:
Fixed maturity securities available for sale:
U.S. government and government agency	$	892,258	$	—	$	892,258	$	—
State and municipal	2,890,098		—		2,890,098		—
Mortgage-backed securities	1,665,410		—		1,665,410		—
Asset-backed securities	3,982,773		—		3,982,773		—
Corporate	6,703,992		—		6,703,992
Foreign government	1,401,522		—		1,401,522		—
Total fixed maturity securities available for sale	17,536,053		—		17,536,053		—
Equity securities:
Common stocks	982,751		978,991		1,161		2,599
Preferred stocks	203,143		—		191,844		11,299
Total equity securities	1,185,894		978,991		193,005		13,898
Arbitrage trading account	944,230		822,192		118,448		3,590
Total	$	19,666,177	$	1,801,183	$	17,847,506	$	17,488
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	—	$	—	$	—
December 31, 2021
Assets:
Fixed maturity securities available for sale:
U.S. government and government agency	$	855,343	$	—	$	855,343	$	—
State and municipal	3,304,133		—		3,304,133		—
Mortgage-backed securities	1,068,075		—		1,068,075		—
Asset-backed securities	4,490,565		—		4,490,565		—
Corporate	5,595,675		—		5,595,675		—
Foreign government	1,214,901		—		1,214,901		—
Total fixed maturity securities available for sale	16,528,692		—		16,528,692		—
Equity securities:
Common stocks	695,403		684,470		1,639		9,294
Preferred stocks	245,840		—		234,544		11,296
Total equity securities	941,243		684,470		236,183		20,590
Arbitrage trading account	1,179,606		1,153,079		26,527		—
Total	$	18,649,541	$	1,837,549	$	16,791,402	$	20,590
Liabilities:
Trading account securities sold but not yet purchased	$	1,169	$	1,137	$	32	$	—

Summarize Changes In Level 3 Assets and Liabilities

The following tables summarize changes in Level 3 assets and liabilities for the years ended December 31, 2022 and 2021:

	Gains (Losses) Included in:
(In thousands)	Beginning Balance		Earnings (Losses)		Other Comprehensive Income (Losses)		Impairments		Purchases		Sales		Paydowns/Maturities		Transfers In / Out		Ending Balance
Year ended December 31, 2022
Assets:
Fixed maturity securities available for sale:
Corporate	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—
Total	—		—		—		—		—		—		—		—		—
Equity securities:
Common stocks	9,294		(6,695)		—		—		—		—		—		—		2,599
Preferred stocks	11,296		3		—		—		925		(925)		—		—		11,299
Total	20,590		(6,692)		—		—		925		(925)		—		—		13,898
Arbitrage trading account	—		(179)		—		—		4,685		(917)		—		1		3,590
Total	$	20,590	$	(6,871)	$	—	$	—	$	5,610	$	(1,842)	$	—	$	1	$	17,488
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—	$	—
Year ended December 31, 2021
Assets:
Fixed maturity securities available for sale:
Corporate	$	1,000	$	—	$	—	$	—	$	—	$	(1,000)	$	—	$	—	$	—
Total	1,000		—		—		—		—		(1,000)		—		—		—
Equity securities:
Common stocks	9,215		640		—		—		—		(561)		—		—		9,294
Preferred stocks	9,331		(35)		—		—		2,000		—		—		—		11,296
Total	18,546		605		—		—		2,000		(561)		—		—		20,590
Arbitrage trading account	—		8		—		—		—		(8)		—		—		—
Total	$	19,546	$	613	$	—	$	—	$	2,000	$	(1,569)	$	—	$	—	$	20,590
Liabilities:
Trading account securities sold but not yet purchased	$	—	$	1	$	—	$	—	$	(1)	$	—	$	—	$	—	$	—

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Reserves For Losses And Loss Expenses (Tables)

12 Months Ended

Dec. 31, 2022

Insurance [Abstract]

Loss and loss expenses incurred, net of reinsurance, and cumulative paid claims and claim adjustment expenses, net of reinsurance

Insurance

Other Liability

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	749,261	$	788,581	$	779,908	$	779,706	$	800,593	$	806,914	$	801,689	$	805,915	$	807,998	$	809,358	$	21,362	26
2014			844,832		845,564		843,501		848,138		861,313		867,400		862,749		861,382		862,630		35,808		28
2015					948,389		984,262		958,734		961,761		964,301		974,345		981,071		1,010,796		55,430		27
2016							1,016,106		1,009,051		1,018,253		1,029,821		1,043,948		1,059,897		1,091,569		96,310		28
2017									1,065,550		1,099,396		1,121,833		1,138,785		1,178,604		1,249,129		142,974		28
2018											1,103,900		1,131,549		1,121,317		1,156,157		1,232,803		181,880		27
2019													1,240,560		1,237,336		1,237,824		1,294,681		292,625		28
2020															1,339,565		1,212,790		1,158,880		489,718		22
2021																	1,534,580		1,390,790		841,854		23
2022																			1,823,680		1,507,284		20
Total																			$	11,924,316

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	63,243	$	188,023	$	330,127	$	470,566	$	585,608	$	646,257	$	691,495	$	717,908	$	738,858	$	761,461
2014			78,705		190,419		337,426		478,924		592,828		678,490		728,718		758,098		781,533
2015					82,638		210,151		381,328		536,855		674,665		755,641		814,191		872,657
2016							69,407		208,828		389,862		557,998		676,735		766,515		870,981
2017									79,887		255,603		453,097		638,934		774,738		930,630
2018											86,798		264,299		435,729		615,753		806,869
2019													88,195		275,343		471,239		704,928
2020															72,232		225,068		423,283
2021																	76,612		267,685
2022																			93,519
Total																			$	6,513,546
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		125,357
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	5,536,127

Workers' Compensation

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	552,570	$	547,295	$	546,995	$	543,238	$	547,000	$	542,274	$	541,926	$	540,322	$	538,503	$	534,948	$	11,473	53
2014			639,436		637,307		627,767		617,242		615,435		604,030		600,194		602,000		598,977		21,528		57
2015					712,800		690,525		650,997		641,169		626,432		620,741		617,478		612,687		29,213		58
2016							702,716		696,339		684,700		660,520		651,278		657,972		654,385		36,834		58
2017									762,093		733,505		689,622		673,216		683,880		682,153		41,944		58
2018											778,964		724,697		715,055		724,056		721,170		43,766		56
2019													784,281		721,018		732,762		734,034		67,254		54
2020															725,245		716,430		704,008		96,322		42
2021																	742,687		701,703		149,447		45
2022																			772,620		348,348		41
Total																			$	6,716,685

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	117,900	$	277,538	$	363,028	$	414,160	$	447,894	$	466,580	$	479,104	$	489,075	$	496,809	$	502,181
2014			148,405		319,743		412,611		471,235		503,915		521,141		531,475		538,914		547,894
2015					139,320		323,744		421,734		477,541		512,933		531,512		544,849		557,215
2016							142,998		338,835		446,072		504,850		537,861		558,934		572,669
2017									153,456		362,299		468,817		525,753		559,198		583,258
2018											171,006		397,464		508,546		574,889		613,675
2019													184,715		397,376		515,914		581,003
2020															172,478		380,454		485,203
2021																	172,729		384,867
2022																			180,982
Total																			$	5,008,947
			Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																214,233
			Reserves for loss and loss adjustment expenses, net of reinsurance																$	1,921,971

Professional Liability

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	265,061	$	244,556	$	241,046	$	246,943	$	267,978	$	276,566	$	281,888	$	279,824	$	279,870	$	283,216	$	4,681	7
2014			250,740		244,574		257,309		241,376		236,961		255,850		254,868		254,243		253,244		12,284		7
2015					257,946		256,595		272,899		274,546		290,141		281,718		282,065		286,271		19,949		8
2016							309,417		323,222		360,110		400,799		438,065		467,545		463,102		33,241		9
2017									333,267		332,400		338,723		377,410		384,416		393,409		53,786		10
2018											334,848		322,176		333,408		359,566		382,409		73,828		10
2019													336,129		332,385		345,614		354,283		93,387		11
2020															394,107		375,577		337,961		159,767		11
2021																	524,879		471,266		315,877		11
2022																			648,941		543,483		10
Total																			$	3,874,102

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	23,295	$	63,503	$	118,767	$	176,079	$	204,955	$	246,616	$	255,863	$	261,106	$	267,776	$	273,094
2014			19,225		83,063		137,341		174,524		197,272		213,888		225,236		234,459		237,145
2015					20,331		85,047		139,205		186,688		215,408		232,143		239,150		246,031
2016							28,517		102,173		201,019		254,872		296,863		356,812		404,742
2017									36,503		96,312		162,829		243,088		261,225		306,713
2018											28,101		99,598		155,212		198,697		244,284
2019													31,674		97,466		147,985		200,521
2020															28,106		80,408		129,168
2021																	28,586		86,056
2022																			33,446
Total																			$	2,161,200
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		36,484
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	1,749,386

Commercial Automobile

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	327,514	$	349,136	$	368,894	$	376,243	$	366,646	$	366,166	$	365,275	$	364,207	$	364,439	$	364,607	$	103	44
2014			363,891		385,241		416,802		414,732		412,120		411,920		407,470		406,589		407,970		403		47
2015					389,577		415,446		421,522		429,608		430,557		428,981		426,107		427,923		1,362		53
2016							429,329		429,074		440,334		441,408		438,192		437,884		439,682		2,244		52
2017									430,440		428,419		430,198		434,170		439,991		444,472		4,800		47
2018											442,610		462,544		478,966		494,315		521,667		10,720		46
2019													483,019		488,291		504,813		530,876		22,483		45
2020															523,736		428,759		442,163		31,172		30
2021																	614,422		596,810		111,412		38
2022																			792,553		342,905		40
Total																			$	4,968,723

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	142,929	$	218,596	$	267,253	$	321,855	$	342,961	$	352,792	$	361,499	$	362,252	$	362,624	$	364,147
2014			155,564		237,648		326,854		364,054		392,658		400,577		403,273		404,259		405,004
2015					159,987		263,663		323,429		368,448		396,018		409,426		415,170		418,993
2016							183,160		277,665		339,657		388,554		407,989		418,499		426,955
2017									180,545		267,326		326,861		371,761		401,844		419,545
2018											180,056		281,475		350,110		412,874		463,117
2019													185,236		290,124		374,479		440,378
2020															142,815		228,357		308,451
2021																	180,860		319,941
2022																			253,206
Total																			$	3,819,737
			Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																3,731
			Reserves for loss and loss adjustment expenses, net of reinsurance																$	1,152,717

Short-tail lines

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited																				IBNR		Cumulative Number of Reported Claims
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	565,391	$	573,905	$	565,810	$	549,518	$	548,169	$	544,681	$	542,863	$	542,148	$	541,857	$	541,728	$	1,125	25
2014			691,971		697,845		659,563		658,252		659,230		659,568		662,012		660,250		658,557		1,549		30
2015					736,523		726,287		723,206		721,789		713,899		712,361		710,663		710,978		3,842		32
2016							771,390		775,308		762,460		757,009		751,530		753,952		752,604		3,363		34
2017									752,727		753,326		747,630		747,003		746,603		747,869		8,195		42
2018											759,634		748,931		746,265		744,544		742,289		11,491		48
2019													721,073		701,241		691,015		684,708		18,311		43
2020															900,683		904,580		922,333		24,934		38
2021																	828,187		832,183		57,246		36
2022																			944,842		235,121		32
Total																			$	7,538,091

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	310,750	$	480,140	$	526,031	$	527,789	$	534,569	$	535,756	$	536,416	$	537,582	$	538,985	$	539,081
2014			368,865		587,607		609,948		628,440		643,619		650,816		653,272		653,784		654,089
2015					392,921		608,748		664,084		686,029		695,563		701,341		708,065		708,214
2016							416,611		669,891		711,385		726,549		731,651		738,390		739,244
2017									445,285		689,662		718,538		730,688		734,509		741,685
2018											414,910		661,741		708,214		725,138		725,228
2019													404,975		615,869		645,374		657,819
2020															460,434		784,670		845,714
2021																	405,512		698,092
2022																			472,024
Total																			$	6,781,190
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		4,727
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	761,628

Reinsurance & Monoline Excess

Casualty

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022		IBNR
2013	$	318,365	$	269,340	$	272,475	$	282,307	$	291,105	$	298,317	$	302,595	$	301,415	$	302,672	$	302,135	$	12,543
2014			319,454		318,904		318,443		330,382		324,693		324,150		335,883		336,990		341,649		16,184
2015					259,019		231,430		230,085		252,277		293,094		303,261		304,805		309,317		19,728
2016							240,655		252,638		245,268		267,850		301,663		301,355		310,451		24,928
2017									231,082		220,699		238,883		261,482		281,254		298,486		36,491
2018											221,193		210,397		230,790		246,898		261,148		44,474
2019													236,318		230,460		239,131		240,848		72,504
2020															299,602		293,345		289,878		136,865
2021																	359,952		346,736		243,222
2022																			446,676		402,204
Total																			$	3,147,324

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	28,945	$	63,745	$	108,852	$	144,331	$	178,060	$	205,553	$	225,882	$	241,573	$	254,273	$	263,467
2014			21,297		68,374		115,779		155,070		197,996		227,448		252,155		271,512		284,360
2015					17,888		48,442		91,140		141,254		178,521		205,289		233,643		250,880
2016							19,904		61,770		100,200		140,299		171,719		205,354		225,077
2017									16,469		40,085		69,350		123,614		147,311		175,059
2018											11,076		40,953		77,498		109,474		141,553
2019													14,560		39,091		64,020		94,856
2020															20,750		49,664		81,789
2021																	10,918		43,838
2022																			11,595
Total																			$	1,572,474
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		417,861
			Reserves for loss and loss adjustment expenses, net of reinsurance																$	1,992,711

Monoline Excess

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022		IBNR
2013	$	63,995	$	50,355	$	48,143	$	44,162	$	40,207	$	35,120	$	31,752	$	29,758	$	25,701	$	23,306	$	5,184
2014			63,561		57,650		49,570		45,823		41,671		42,541		42,618		40,652		35,707		7,484
2015					69,977		57,897		50,099		45,115		39,682		39,781		36,774		30,104		8,683
2016							72,657		70,281		71,404		64,957		65,485		65,222		61,432		13,634
2017									76,701		80,508		70,749		71,025		66,795		62,647		16,529
2018											77,820		72,505		71,448		66,180		57,847		20,826
2019													78,929		77,482		76,242		73,978		21,878
2020															84,354		83,468		80,452		35,638
2021																	98,110		87,980		48,670
2022																			98,923		66,865
Total																			$	612,376

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	647	$	1,897	$	3,588	$	3,008	$	3,396	$	4,418	$	5,349	$	6,476	$	8,805	$	9,490
2014			377		2,341		3,354		4,175		5,808		7,595		11,154		11,938		13,491
2015					2,069		2,481		3,272		4,099		4,416		5,083		5,421		6,457
2016							2,498		4,783		5,573		5,928		7,685		9,883		11,819
2017									6,282		12,810		15,356		17,327		18,375		19,275
2018											6,141		8,230		9,368		10,359		12,414
2019													6,241		10,884		12,728		15,436
2020															4,869		8,699		10,471
2021																	4,586		6,026
2022																			5,898
Total																			$	110,777
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		644,712
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	1,146,311

Property

(In thousands)

Loss and Loss Expenses Incurred, Net of Reinsurance																					As of December 31, 2022
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022		IBNR
2013	$	141,380	$	112,616	$	114,100	$	111,937	$	112,572	$	111,890	$	109,697	$	107,552	$	106,316	$	105,711	$	72
2014			112,907		96,492		97,195		99,941		99,176		98,838		99,244		97,315		96,656		177
2015					127,118		117,452		131,625		130,301		129,398		131,071		130,642		131,342		1,061
2016							167,901		174,423		181,634		180,885		186,159		184,150		185,249		1,482
2017									206,560		200,394		199,410		197,978		191,867		192,379		1,209
2018											108,220		112,068		103,104		105,101		102,953		1,754
2019													103,113		77,062		81,858		81,014		3,637
2020															114,590		117,867		116,774		3,946
2021																	133,938		146,761		28,634
2022																			167,039		78,818
Total																			$	1,325,878

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
	Unaudited
Accident Year	2013		2014		2015		2016		2017		2018		2019		2020		2021		2022
2013	$	36,577	$	74,572	$	92,625	$	101,538	$	104,323	$	106,043	$	107,603	$	104,403	$	104,388	$	105,059
2014			38,780		66,829		82,119		88,257		91,390		93,099		94,565		95,198		95,633
2015					53,474		89,121		109,051		118,552		122,566		125,439		126,848		127,995
2016							78,920		133,516		157,404		168,506		175,949		178,060		182,411
2017									72,126		141,340		171,675		179,749		182,609		185,823
2018											33,991		65,079		82,259		87,736		94,870
2019													23,081		54,499		68,457		71,054
2020															26,574		65,575		86,888
2021																	15,235		71,797
2022																			25,584
Total																			$	1,047,114
	Reserves for loss and loss adjustment expenses before 2013, net of reinsurance																		1,036
	Reserves for loss and loss adjustment expenses, net of reinsurance																		$	279,800

Reconciliation of net incurred and paid claims development to reserves for loss and loss adjustment expenses

The reconciliation of the net incurred and paid claims development tables to the reserves for losses and loss expenses in the consolidated balance sheet is as follows:

(In thousands)		December 31, 2022
Undiscounted reserves for loss and loss expenses, net of reinsurance:
	Other liability	$	5,536,127
	Workers' compensation	1,921,971
	Professional liability	1,749,386
	Commercial automobile	1,152,717
	Short-tail lines	761,628
	Other	124,586
	Insurance	11,246,415
	Casualty	1,992,711
	Monoline excess	1,146,311
	Property	279,800
	Reinsurance & Monoline Excess	3,418,822
Total undiscounted reserves for loss and loss expenses, net of reinsurance		$	14,665,237

(In thousands)		December 31, 2022
Due from reinsurers on unpaid claims:
	Other liability	$	730,029
	Workers' compensation	221,769
	Professional liability	1,019,810
	Commercial automobile	67,895
	Short-tail lines	414,549
	Other	97,511
	Insurance	2,551,563
	Casualty	108,390
	Monoline excess	35,926
	Property	66,465
	Reinsurance & Monoline Excess	210,781
Total due from reinsurers on unpaid claims		$	2,762,344

(In thousands)		December 31, 2022
Loss reserve discount:
	Other liability	$	—
	Workers' compensation	(12,491)
	Professional liability	—
	Commercial automobile	—
	Short-tail lines	—
	Other	—
	Insurance	(12,491)
	Casualty	(84,668)
	Monoline excess	(319,199)
	Property	—
	Reinsurance & Monoline Excess	(403,867)
Total loss reserve discount		$	(416,358)
Total gross reserves for loss and loss expenses		$	17,011,223

Supplementary information regarding average historical claims duration

The following is supplementary information regarding average historical claims duration as of December 31, 2022:

Insurance
Average Annual Percentage Payout of Incurred Claims by Age, Net of Reinsurance
Years	1		2		3		4		5		6		7		8		9		10
Other liability	6.9	%	13.7	%	16.3	%	16.0	%	13.1	%	9.2	%	6.7	%	4.2	%	2.7	%	2.8	%
Workers' compensation	23.5	%	29.9	%	15.7	%	9.1	%	5.5	%	3.2	%	2.1	%	1.7	%	1.5	%	1.0	%
Professional liability	7.4	%	17.6	%	17.7	%	15.7	%	9.1	%	10.3	%	5.1	%	2.6	%	3.0	%	1.9	%
Commercial automobile	36.1	%	20.9	%	15.5	%	11.5	%	6.7	%	2.8	%	1.6	%	0.4	%	0.1	%	0.4	%
Short-tail lines	54.7	%	32.8	%	5.8	%	2.0	%	1.0	%	0.8	%	0.4	%	0.1	%	0.2	%	—	%
Reinsurance & Monoline Excess
Average Annual Percentage Payout of Incurred Claims by Age, Net of Reinsurance
Years	1		2		3		4		5		6		7		8		9		10
Casualty	5.7	%	10.9	%	12.5	%	13.7	%	11.0	%	9.3	%	7.4	%	5.5	%	4.0	%	3.0	%
Monoline excess	6.1	%	4.7	%	3.1	%	1.7	%	2.6	%	3.3	%	4.6	%	3.5	%	7.2	%	2.9	%
Property	30.5	%	33.2	%	16.1	%	5.8	%	3.6	%	1.7	%	1.6	%	0.3	%	0.1	%	—	%

Reconciliation of beginning and ending reserve balance

The table below provides a reconciliation of the beginning and ending reserve balances:

(In thousands)	2022		2021		2020
Net reserves at beginning of year	$	12,848,362	$	11,620,393	$	10,697,998
Cumulative effect adjustment resulting from changes in accounting principles (1)	—		—		5,927
Restated net reserves at beginning of period	12,848,362		11,620,393		10,703,925
Net provision for losses and loss expenses:
Claims occurring during the current year (2)	5,774,713		4,921,191		4,432,937
Increase in estimates for claims occurring in prior years (3)	54,511		863		627
Loss reserve discount accretion	32,526		31,906		35,142
Total	5,861,750		4,953,960		4,468,706
Net payments for claims:
Current year	1,068,577		887,896		921,054
Prior year	3,279,333		2,777,798		2,677,595
Total	4,347,910		3,665,694		3,598,649
Foreign currency translation	(113,323)		(60,297)		46,411
Net reserves at end of year	14,248,879		12,848,362		11,620,393
Ceded reserve at end of year	2,762,344		2,542,526		2,164,037
Gross reserves at end of year	$	17,011,223	$	15,390,888	$	13,784,430
Net change in premiums and losses occurring in prior years:
Increase in estimates for claims occurring in prior years (3)	$	(54,511)	$	(863)	$	(627)
Retrospective premium adjustments for claims occurring in prior years (4)	18,106		7,510		16,807
Net premium and reserve development on prior years	$	(36,405)	$	6,647	$	16,180

_______________________________________

(1)The cumulative effect adjustment resulting from changes in accounting principals relates to the allowance for expected credit losses on reinsurance recoverables that commenced on January 1, 2020 due to the adoption of ASU 2016-13. See Note 1 for more details.

(2)Claims occurring during the current year are net of loss reserve discounts of $35 million, $21 million and $10 million in 2022, 2021, and 2020, respectively.

(3)The change in estimates for claims occurring in prior years is net of loss reserve discount. On an undiscounted basis, the estimates for claims occurring in prior years increased by $16 million in 2022, decreased by $19 million in 2021, and decreased by $21 million in 2020, respectively.

(4)For certain retrospectively rated insurance polices and reinsurance agreements, changes in loss and loss expenses for prior years are offset by additional or return premiums.

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Reinsurance (Tables)

12 Months Ended

Dec. 31, 2022

Reinsurance Disclosures [Abstract]

Reinsurance Financial Information

The following is a summary of reinsurance financial information:

(In thousands)	2022		2021		2020
Written premiums:
Direct	$	10,695,138	$	9,531,050	$	7,874,050
Assumed	1,213,914		1,169,084		973,597
Ceded	(1,904,982)		(1,837,267)		(1,585,210)
Total net written premiums	$	10,004,070	$	8,862,867	$	7,262,437
Earned premiums:
Direct	$	10,217,891	$	8,825,568	$	7,489,470
Assumed	1,226,801		1,085,804		941,321
Ceded	(1,883,263)		(1,805,341)		(1,499,948)
Total net earned premiums	$	9,561,429	$	8,106,031	$	6,930,843
Ceded losses and loss expenses incurred	$	1,269,338	$	1,236,960	$	955,630
Ceded commission earned	$	477,437	$	449,739	$	358,253

Schedule of Premium Receivable Allowance for Credit Loss

The following table presents the rollforward of the allowance for expected credit losses for premiums and fees receivable for the years ended December 31, 2022 and 2021:

(In thousands)	2022		2021
Allowance for expected credit losses, beginning of period	$	25,218	$	22,883
Change in allowance for expected credit losses	5,442		2,335
Allowance for expected credit losses, end of period	$	30,660	$	25,218

Schedule of Reinsurance Recoverable Allowance for Credit Loss

The following table presents the rollforward of the allowance for expected credit losses associated with due from reinsurers for the years ended December 31, 2022 and 2021:

(In thousands)	2022		2021
Allowance for expected credit losses, beginning of period	$	7,713	$	7,801
Change in allowance for expected credit losses	351		(88)
Allowance for expected credit losses, end of period	$	8,064	$	7,713

Schedule of Ceded Credit Risk by Reinsurer

The following table presents the amounts due from reinsurers as of December 31, 2022:

(In thousands)
Lloyd’s of London	$	347,927
Berkshire Hathaway	332,034
Munich Re	306,530
Partner Re	275,410
Hannover Re Group	191,264
Swiss Re	189,591
Lifson Re	180,724
Renaissance Re	163,973
Everest Re	155,847
Liberty Mutual	96,402
Axis Capital	81,538
Korean Re	59,884
Fairfax Financial	55,228
Axa Insurance	46,058
Arch Capital Group	45,663
Sompo Holdings Group	36,157
Helvetia Holdings Group	30,823
Markel Corp Group	30,216
Validus Holdings Group	24,548
TOA Re	22,945
Other reinsurers less than $20,000	342,275
Subtotal	3,015,037
Residual market pools (1)	180,757
Allowance for expected credit losses	(8,064)
Total	$	3,187,730

(1)Many states require licensed insurers that provide workers' compensation insurance to participate in programs that provide workers' compensation to employers that cannot procure coverage from an insurer on a voluntary basis. Insurers can fulfill this residual market obligation by participating in pools where results are shared by the participating companies. The Company acts as a servicing carrier for workers' compensation pools in certain states. As a servicing carrier, the Company writes residual market business directly and then cedes 100% of this business to the respective pool. As a servicing carrier, the Company receives fee income for its services. The Company does not retain underwriting risk, and credit risk is limited as ceded balances are jointly shared by all the pool members.

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Indebtedness (Tables)

12 Months Ended

Dec. 31, 2021

Debt Disclosure [Abstract]

Schedule of Debt

Indebtedness consisted of the following as of December 31, 2022 (the difference between the face value and the carrying value is unamortized discount and debt issuance costs):

				Carrying Value
(In thousands)	Interest Rate	Face Value		2022		2021
Senior notes and other debt due on:
January 1, 2022 (1)	8.700%	$	—	$	—	$	76,503
March 15, 2022 (1)	4.625%	—		—		349,923
February 15, 2037	6.250%	250,000		248,446		248,336
August 1, 2044	4.750%	350,000		346,020		345,836
May 12, 2050	4.000%	470,000		490,721		491,478
March 30, 2052	3.550%	400,000		394,213		394,015
September 30, 2061	3.150%	350,000		342,945		342,761
Subsidiary debt and other (2)	Various	6,478		6,478		10,564
Total senior notes and other debt		$	1,826,478	$	1,828,823	$	2,259,416
Subordinated debentures due on:
March 30, 2058	5.700%	$	185,000	$	179,328	$	179,166
December 30, 2059	5.100%	300,000		291,179		290,941
September 30, 2060	4.250%	250,000		244,523		244,378
March 30, 2061	4.125%	300,000		293,341		293,167
Total subordinated debentures		$	1,035,000	$	1,008,371	$	1,007,652

________________

(1) In the first quarter of 2022, the Company repaid at maturity its $77 million aggregate principal amount of 8.7% senior notes in January and its $350 million aggregate principal amount of 4.625% senior notes in March.

(2) Subsidiary debt is due as follows: $5 million in 2024 and $2 million in 2025, partially offset by the unamortized cost of $0.8 million due to entering into the $300 million senior unsecured revolving credit facility.

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Income Taxes (Tables)

12 Months Ended

Dec. 31, 2022

Income Tax Disclosure [Abstract]

Schedule of Components of Income Tax Expense (Benefit)

Income tax expense (benefit) consists of:

(In thousands)	Current Expense		Deferred (Benefit) Expense		Total
December 31, 2022
Domestic	$	295,849	$	(27,544)	$	268,305
Foreign	42,890		23,532		66,422
Total expense (benefit)	$	338,739	$	(4,012)	$	334,727
December 31, 2021
Domestic	$	239,090	$	2,752	$	241,842
Foreign	—		10,048		10,048
Total expense	$	239,090	$	12,800	$	251,890
December 31, 2020
Domestic	$	162,305	$	17	$	162,322
Foreign	23,375		(13,880)		9,495
Total expense (benefit)	$	185,680	$	(13,863)	$	171,817

Schedule of Effective Income Tax Rate Reconciliation

A reconciliation of the income tax expense and the amounts computed by applying the Federal and foreign income tax rate of 21% for 2022, 2021 and 2020 to pre-tax income are as follows:

(In thousands)	2022		2021		2020
Computed “expected” tax expense	$	361,133	$	269,410	$	148,008
Tax-exempt investment income	(10,815)		(11,380)		(12,770)
Change in valuation allowance	(28,064)		2,974		46,238
Impact of foreign tax rates	(453)		(2,368)		6,753
State and local taxes	8,976		4,230		2,561
Other, net	3,950		(10,976)		(18,973)
Total expense	$	334,727	$	251,890	$	171,817

Schedule of Deferred Tax Assets and Liabilities

(In thousands)	2022		2021		2020
Computed “expected” tax expense	$	361,133	$	269,410	$	148,008
Tax-exempt investment income	(10,815)		(11,380)		(12,770)
Change in valuation allowance	(28,064)		2,974		46,238
Impact of foreign tax rates	(453)		(2,368)		6,753
State and local taxes	8,976		4,230		2,561
Other, net	3,950		(10,976)		(18,973)
Total expense	$	334,727	$	251,890	$	171,817

At December 31, 2022 and 2021, the tax effects of differences that give rise to significant portions of the deferred tax asset and deferred tax liability are as follows:

(In thousands)	2022		2021
Deferred tax asset:
Loss reserve discounting	$	192,181	$	162,636
Unearned premiums	180,326		163,143
Unrealized investment losses	228,456		—
Net operating losses & foreign tax credits	58,182		88,502
Other-than-temporary impairments	5,935		5,176
Employee compensation plans	63,313		61,301
Other	72,536		54,269
Gross deferred tax asset	800,929		535,027
Less valuation allowance	(47,166)		(75,230)
Deferred tax asset	753,763		459,797
Deferred tax liability:
Amortization of intangibles	13,973		12,787
Loss reserve discounting - transition rule	14,843		19,796
Deferred policy acquisition costs	157,055		137,893
Unrealized investment gains	—		36,850
Property, furniture and equipment	45,887		43,186
Investment funds	125,525		101,999
Other	67,479		67,331
Deferred tax liability	424,762		419,842
Net deferred tax asset	$	329,001	$	39,955

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Dividends From Subsidiaries And Statutory Financial Information (Tables)

12 Months Ended

Dec. 31, 2022

Insurance [Abstract]

Schedule of Combined Net Income and Policyholders' Surplus in Accordance with Statutory Accounting Practices

BIC’s combined net income and statutory capital and surplus, as determined in accordance with statutory accounting practices ("SAP"), are as follows:

(In thousands)	2022		2021		2020
Net income	$	1,358,813	$	1,040,342	$	771,990
Statutory capital and surplus	$	8,330,587	$	6,817,535	$	6,188,121

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Common Stockholders' Equity (Tables)

12 Months Ended

Dec. 31, 2022

Equity [Abstract]

Weighted Average Number of Common Shares Used In the Computation of Basic and Diluted Earnings per Share

The weighted average number of shares used in the computation of net income per share was as follows:

(In thousands)	2022	2021	2020
Basic	276,852	277,430	280,386
Diluted	279,461	279,749	283,145

Schedule of Changes in Shares of Common Stock Outstanding

Changes in shares of common stock outstanding, net of treasury shares, are presented below. Shares of common stock issued and outstanding do not include shares related to unissued restricted stock units (including shares held in the grantor trust).

	2022	2021	2020
Balance, beginning of year	265,170,882	266,737,725	275,117,861
Shares issued	745,612	1,062,086	1,164,816
Shares repurchased	(1,370,394)	(2,628,929)	(9,544,952)
Balance, end of year	264,546,100	265,170,882	266,737,725

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Fair Value of Financial Instruments (Tables)

12 Months Ended

Dec. 31, 2022

Fair Value Disclosures [Abstract]

Carrying Amounts and Estimated Fair Values of Financial Insruments

The following table presents the carrying amounts and estimated fair values of the Company’s financial instruments as of December 31, 2022 and 2021:

	2022				2021
(In thousands)	Carrying Value		Fair Value		Carrying Value		Fair Value
Assets:
Fixed maturity securities	$	17,587,349	$	17,591,626	$	16,602,673	$	16,614,118
Equity securities	1,185,894		1,185,894		941,243		941,243
Arbitrage trading account	944,230		944,230		1,179,606		1,179,606
Loans receivable	193,002		187,981		115,172		116,534
Cash and cash equivalents	1,449,346		1,449,346		1,568,843		1,568,843
Trading accounts receivable from brokers and clearing organizations	233,863		233,863		—		—
Due from broker	3,609		3,609		20,448		20,448
Liabilities:
Due to broker	—		—		53,636		53,636
Trading account securities sold but not yet purchased	—		—		1,169		1,169
Senior notes and other debt	1,828,823		1,439,188		2,259,416		2,526,630
Subordinated debentures	1,008,371		805,600		1,007,652		1,095,600

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Leases (Tables)

12 Months Ended

Dec. 31, 2022

Leases [Abstract]

Lease, Cost

Further information relating to operating lease expense and other operating lease information is as follows:

	For the Year Ended December 31,
(In thousands)	2022		2021
Leases:
Lease cost	$	43,383	$	44,051
Cash paid for amounts included in the measurement of lease liabilities reported in operating cash flows	$	43,871	$	45,592
Right-of-use assets obtained in exchange for new lease liabilities	$	28,075	$	38,929

Supplemental Balance Sheet Information

	As of December 31,
($ in thousands)	2022			2021
Right-of-use assets	$	169,271		$	172,180
Lease liabilities	$	204,088		$	208,729
Weighted-average remaining lease term	7.1 years			7.2 years
Weighted-average discount rate	4.40		%	4.83		%

Maturities of Operating Lease Liabilities

Contractual maturities of the Company’s future minimum lease payments are as follows:

(In thousands)	December 31, 2022
Contractual Maturities:
2023	$	47,024
2024	41,788
2025	32,928
2026	25,973
2027	16,472
Thereafter	68,912
Total undiscounted future minimum lease payments	233,097
Less: Discount impact	29,009
Total lease liability	$	204,088

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Stock Incentive Plan (Tables)

12 Months Ended

Dec. 31, 2022

Share-based Payment Arrangement [Abstract]

Schedule of Nonvested Restricted Stock Units Activity

The following table summarizes RSU information for the three years ended December 31, 2022:

	2022	2021	2020
RSUs granted and unvested at beginning of period:	5,144,519	5,706,504	6,186,390
Granted	1,024,960	1,272,990	1,443,680
Vested	(1,258,680)	(1,523,960)	(1,667,382)
Canceled	(292,373)	(311,016)	(256,184)
RSUs granted and unvested at end of period:	4,618,426	5,144,519	5,706,504

Schedule of Share-based Compensation, Unearned Compensation Related to RSU's

The fair value of RSUs at the date of grant are recorded as unearned compensation, a component of stockholders’ equity, and expensed over the vesting period. Following is a summary of changes in unearned compensation for the three years ended December 31, 2022:

(In thousands)	2022		2021		2020
Unearned compensation at beginning of year	$	135,535	$	132,310	$	128,390
RSUs granted, net of cancellations	60,628		56,711		54,270
RSUs expensed	(47,611)		(46,441)		(47,108)
RSUs forfeitures	(6,492)		(7,045)		(3,242)
Unearned compensation at end of year	$	142,060	$	135,535	$	132,310

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Compensation Plans (Tables)

12 Months Ended

Dec. 31, 2022

Compensation Related Costs [Abstract]

Long-Term Incentive Compensation Plan Expense

The following table summarizes the outstanding LTIP awards as of December 31, 2022:

	Units Outstanding	Maximum Value		Inception to date earned through December 31, 2022 on outstanding units
2018 grant	188,500	$	18,850,000	$	18,850,000
2019 grant	205,000	20,500,000		17,164,589
2020 grant	216,000	21,600,000		13,943,707
2021 grant	221,750	22,175,000		11,426,223
2022 grant	241,000	24,100,000		6,232,260

The following table summarizes the LTIP expense for each of the three years ended December 31, 2022:

(In thousands)	2022		2021		2020
2015 grant	$	—	$	—	$	(168)
2016 grant	—		(117)		3,176
2017 grant	—		6,012		2,914
2018 grant	4,299		5,503		2,776
2019 grant	6,904		5,309		2,490
2020 grant	6,653		5,065		2,276
2021 grant	6,574		4,906		—
2022 grant	6,232		—		—
Total	$	30,662	$	26,678	$	13,464

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Supplemental Financial Statement Data (Tables)

12 Months Ended

Dec. 31, 2022

Other Income and Expenses [Abstract]

Schedule of Other Operating Cost and Expense, by Component

Other operating costs and expenses consist of the following:

(In thousands)	2022		2021		2020
Amortization of deferred policy acquisition costs	$	1,038,903	$	961,628	$	904,955
Insurance operating expenses	1,635,000		1,345,099		1,206,058
Insurance service expenses	96,419		86,003		85,724
Net foreign currency (gains) losses	(50,930)		(25,725)		363
Debt extinguishment costs	—		11,521		8,440
Other costs and expenses	242,113		220,744		184,852
Total	$	2,961,505	$	2,599,270	$	2,390,392

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Industry Segments (Tables)

12 Months Ended

Dec. 31, 2022

Segment Reporting [Abstract]

Financial Information Of Company Operating Segments

Summary financial information about the Company’s reporting segments is presented in the following table. Income before income taxes by segment includes allocated investment income. Identifiable assets by segment are those assets used in or allocated to the operation of each segment.

	Revenues
(In thousands)	Earned Premiums (1)		Investment Income		Other		Total (2)		Pre-Tax Income (Loss)		Net Income (Loss) to Common Stockholders
Year ended December 31, 2022
Insurance	$	8,369,062	$	550,084	$	33,347	$	8,952,493	$	1,455,658	$	1,173,425
Reinsurance & Monoline Excess	1,192,367		194,272		—		1,386,639		316,527		251,386
Corporate, other and eliminations (3)	—		34,829		590,141		624,970		(254,901)		(203,476)
Net investment gains	—		—		202,397		202,397		202,397		159,727
Consolidated	$	9,561,429	$	779,185	$	825,885	$	11,166,499	$	1,719,681	$	1,381,062
Year ended December 31, 2021
Insurance	$	7,077,708	$	468,821	$	32,063	$	7,578,592	$	1,219,798	$	976,184
Reinsurance & Monoline Excess	1,028,323		175,324		—		1,203,647		270,563		215,439
Corporate, other and eliminations (3)	—		27,473		555,122		582,595		(298,088)		(242,055)
Net investment gains	—		—		90,632		90,632		90,632		72,922
Consolidated	$	8,106,031	$	671,618	$	677,817	$	9,455,466	$	1,282,905	$	1,022,490
Year ended December 31, 2020
Insurance	$	6,067,669	$	375,554	$	35,611	$	6,478,834	$	668,012	$	487,125
Reinsurance & Monoline Excess	863,174		146,029		—		1,009,203		205,587		164,655
Corporate, other and eliminations (3)	—		62,238		445,650		507,888		(271,797)		(214,291)
Net investment gains	—		—		103,000		103,000		103,000		93,181
Consolidated	$	6,930,843	$	583,821	$	584,261	$	8,098,925	$	704,802	$	530,670

Identifiable Assets by Segments

Identifiable Assets
(In thousands)	December 31,
	2022		2021
Insurance	$	27,009,652	$	24,414,305
Reinsurance & Monoline Excess	5,195,752		4,916,894
Corporate, other and eliminations (3)	1,655,695		2,755,215
Consolidated	$	33,861,099	$	32,086,414

_______________________________________

(1) Certain amounts included in earned premiums of each segment are related to inter-segment transactions.

(2) Revenues for Insurance includes $1,029 million, $873 million, and $692 million in 2022, 2021, and 2020, respectively, from foreign countries. Revenues for Reinsurance & Monoline Excess includes $412 million, $380 million, and $292 million in 2022, 2021 and 2020, respectively, from foreign countries.

(3) Corporate, other and eliminations represent corporate revenues and expenses and other items that are not allocated to

business segments.

Net Premiums Earned By Major Line Of Business

Net premiums earned by major line of business were as follows:

(In thousands)	2022		2021		2020
Insurance
Other liability	$	3,206,846	$	2,673,098	$	2,269,458
Short-tail lines	1,630,371		1,389,068		1,247,908
Workers' compensation	1,197,811		1,131,283		1,127,487
Commercial automobile	1,208,241		990,945		794,171
Professional liability	1,125,793		893,314		628,645
Total Insurance	8,369,062		7,077,708		6,067,669
Reinsurance & Monoline Excess
Casualty	764,793		643,193		521,559
Monoline Excess	217,017		201,187		171,522
Property	210,557		183,943		170,093
Total Reinsurance & Monoline Excess	1,192,367		1,028,323		863,174
Total	$	9,561,429	$	8,106,031	$	6,930,843

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Summary of Significant Accounting Policies (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Accounting Policies [Abstract]
Unbilled Audit Premiums	$ 25	$ 10	$ (27)
Weighted average shares held in grantor trust	11,416,856
Indefinite-lived Intangible Assets [Line Items]
Basic weighted average number of shares outstanding (in shares)	276,852	277,430	280,386
Deposit contracts, liabilities	$ 33	$ 35
Depreciation	52	52	$ 53
Interest payments	138	141	155
Income taxes paid	295	244	$ 103
Other Assets
Indefinite-lived Intangible Assets [Line Items]
Intangible assets, net (excluding goodwill)	$ 102	$ 85

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Summary of Significant Accounting Policies (Recent accounting change) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020	Dec. 31, 2019
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Net after tax unamortized periodic pension cost	$ (6,768,161)	$ (6,667,730)
Fixed maturity securities, allowance for credit loss	37,466	22,625
Retained Earnings
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Net after tax unamortized periodic pension cost	(10,161,005)	(9,015,135)	$ (8,348,381)	$ (7,932,372)
Accumulated Other Comprehensive Income (Loss)
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Net after tax unamortized periodic pension cost	$ 892,905	(90,900)	(289,714)	(124,514)
Cumulative Effect, Period Of Adoption, Adjustment | Retained Earnings
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Net after tax unamortized periodic pension cost		0	0	30,514
Cumulative Effect, Period Of Adoption, Adjustment | Accumulated Other Comprehensive Income (Loss)
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Net after tax unamortized periodic pension cost		$ 0	$ 0	$ (24,952)

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Acquisitions - Narrative (Details) - Placemat and rug manufacturing business $ in Millions	1 Months Ended
	Mar. 31, 2022 USD ($)
Business Combination, Separately Recognized Transactions [Line Items]
Ownership interest acquired	80.00%
Consideration transferred	$ 51.1

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Acquisitions - Estimated Fair Value of Net Assets Acquired and Liabilities Assumed (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
Net assets acquired and liabilities assumed
Goodwill	$ 185,509	$ 169,652
Placemat and rug manufacturing business
Net assets acquired and liabilities assumed
Cash and cash equivalents	1,564
Real estate, furniture and equipment	6,000
Intangible assets	25,600
Goodwill	15,857
Other assets	20,349
Total assets acquired	69,370
Other liabilities assumed	(12,420)
Noncontrolling interest	(5,814)
Net assets acquired	$ 51,136

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Consolidated Statement of Comprehensive Income (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning of period	$ 6,667,730
Other comprehensive (loss) gain	(982,624)	$ (219,781)	$ 170,177
End of period	6,768,161	6,667,730
Unrealized investment gains (losses), before tax	217,311	106,958	73,514
Pre-Tax Income (Loss)	1,719,681	1,282,905	704,802
Federal and foreign income taxes	(334,727)	(251,890)	(171,817)
Net income	1,384,954	1,031,015	532,985
Unrealized investment gains, before tax	(1,248,128)	(254,939)	164,645
Currency translation adjustments, before tax	1,179	(20,969)
Other comprehensive income (loss), before tax	(1,246,949)	(275,908)
Unrealized investment gains, tax	264,325	56,127
Currency translation adjustments, tax	0	0
Other comprehensive income (loss), tax	264,325	56,127
Unrealized investment gains, net of tax	(983,803)	(198,812)
Change in unrealized translation adjustments	1,179	(20,969)	29,927
Unrealized Investment (Losses) Gains
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning of period	90,900	289,714
Other comprehensive (loss) income before reclassifications	(1,054,838)	(222,359)
Amounts reclassified from AOCI	71,035	23,547
Other comprehensive (loss) gain	(983,803)	(198,812)
Unrealized investment loss related to noncontrolling interest	(2)	(2)
End of period	(892,905)	90,900	289,714
Unrealized Investment (Losses) Gains | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Unrealized investment gains (losses), before tax	89,918	29,806
Federal and foreign income taxes	(18,883)	(6,259)
Net income	71,035	23,547
Currency Translation Adjustments
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning of period	(372,855)	(351,886)	(381,813)
Other comprehensive (loss) income before reclassifications	1,179	(20,969)
Amounts reclassified from AOCI	0	0
Other comprehensive (loss) gain	1,179	(20,969)
Unrealized investment loss related to noncontrolling interest	0	0
End of period	(371,676)	(372,855)	(351,886)
Change in unrealized translation adjustments	1,179	(20,969)	29,927
Currency Translation Adjustments | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Pre-Tax Income (Loss)	0	0
Federal and foreign income taxes	0	0
Net income	0	0
Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning of period	(281,955)	(62,172)
Other comprehensive (loss) income before reclassifications	(1,053,659)	(243,328)
Amounts reclassified from AOCI	71,035	23,547
Other comprehensive (loss) gain	(982,624)	(219,781)
Unrealized investment loss related to noncontrolling interest	(2)	(2)
End of period	(1,264,581)	(281,955)	$ (62,172)
Accumulated Other Comprehensive Loss | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Pre-Tax Income (Loss)	89,918	29,806
Federal and foreign income taxes	(18,883)	(6,259)
Net income	$ 71,035	$ 23,547

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Investments in Fixed Maturity Securities (Investments in Fixed Maturity Securities) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Total held to maturity, Amortized Cost	$ 51,410	$ 74,368
Held-to-maturity, allowance for credit loss	(114)	(387)	$ (798)
Total held to maturity, Gross Unrealized Gains	4,277	11,445
Total held to maturity, Gross Unrealized Losses	0	0
Total held to maturity, Fair Value	55,573	85,426
Total held to maturity, Carrying Value	51,296	73,981
Fixed maturity securities available for sale at cost	18,664,073	16,396,936
Cumulative effect adjustment resulting from changes in accounting principles	(37,352)	(22,238)	(1,782)
Total available for sale, Gross Unrealized Gains	32,166	278,207
Total available for sale, Gross Unrealized Losses	(1,122,834)	(124,213)
Total available for sale, Fair Value	17,536,053	16,528,692
Total available for sale, Carrying Value	17,536,053	16,528,692
Fixed maturity securities, amortized cost	18,715,483	16,471,304
Total investments in fixed maturity securities, Gross Unrealized Gains	36,443	289,652
Total investments in fixed maturity securities, Gross Unrealized Losses	(1,122,834)	(124,213)
Total investments in fixed maturity securities, Fair Value	17,591,626	16,614,118
Total investments in fixed maturity securities, carrying value	17,587,349	16,602,673
Fixed maturity securities, allowance for credit loss	(37,466)	(22,625)
State and municipal
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Total held to maturity, Amortized Cost	47,802	69,539
Held-to-maturity, allowance for credit loss	(114)	(387)
Total held to maturity, Gross Unrealized Gains	4,239	10,813
Total held to maturity, Gross Unrealized Losses	0	0
Total held to maturity, Fair Value	51,927	79,965
Total held to maturity, Carrying Value	47,688	69,152
Fixed maturity securities available for sale at cost	3,046,335	3,176,042
Cumulative effect adjustment resulting from changes in accounting principles	0	0
Total available for sale, Gross Unrealized Gains	12,355	137,650
Total available for sale, Gross Unrealized Losses	(168,592)	(9,559)
Total available for sale, Fair Value	2,890,098	3,304,133
Total available for sale, Carrying Value	2,890,098	3,304,133
Residential mortgage-backed
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Total held to maturity, Amortized Cost	3,608	4,829
Held-to-maturity, allowance for credit loss	0	0
Total held to maturity, Gross Unrealized Gains	38	632
Total held to maturity, Gross Unrealized Losses	0	0
Total held to maturity, Fair Value	3,646	5,461
Total held to maturity, Carrying Value	3,608	4,829
Fixed maturity securities available for sale at cost	1,308,019	940,744
Cumulative effect adjustment resulting from changes in accounting principles	(18)	0
Total available for sale, Gross Unrealized Gains	395	9,896
Total available for sale, Gross Unrealized Losses	(171,595)	(11,321)
Total available for sale, Fair Value	1,136,801	939,319
Total available for sale, Carrying Value	1,136,801	939,319
U.S. government and government agency
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	960,479	851,128
Cumulative effect adjustment resulting from changes in accounting principles	0	0
Total available for sale, Gross Unrealized Gains	937	8,509
Total available for sale, Gross Unrealized Losses	(69,158)	(4,294)
Total available for sale, Fair Value	892,258	855,343
Total available for sale, Carrying Value	892,258	855,343
Special Revenue
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	1,837,309	2,016,382
Cumulative effect adjustment resulting from changes in accounting principles	0	0
Total available for sale, Gross Unrealized Gains	3,662	62,961
Total available for sale, Gross Unrealized Losses	(119,474)	(5,706)
Total available for sale, Fair Value	1,721,497	2,073,637
Total available for sale, Carrying Value	1,721,497	2,073,637
Debt, State Government
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	387,709	388,110
Cumulative effect adjustment resulting from changes in accounting principles	0	0
Total available for sale, Gross Unrealized Gains	2,651	23,152
Total available for sale, Gross Unrealized Losses	(21,335)	(1,015)
Total available for sale, Fair Value	369,025	410,247
Total available for sale, Carrying Value	369,025	410,247
Revenue Subject to Refund
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	156,106	202,633
Cumulative effect adjustment resulting from changes in accounting principles	0	0
Total available for sale, Gross Unrealized Gains	2,741	14,891
Total available for sale, Gross Unrealized Losses	(7)	(574)
Total available for sale, Fair Value	158,840	216,950
Total available for sale, Carrying Value	158,840	216,950
Corporation
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	210,228	166,943
Cumulative effect adjustment resulting from changes in accounting principles	0	0
Total available for sale, Gross Unrealized Gains	334	7,191
Total available for sale, Gross Unrealized Losses	(10,923)	(1,532)
Total available for sale, Fair Value	199,639	172,602
Total available for sale, Carrying Value	199,639	172,602
Debt, Local Government
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	454,983	401,974
Cumulative effect adjustment resulting from changes in accounting principles	0	0
Total available for sale, Gross Unrealized Gains	2,967	29,455
Total available for sale, Gross Unrealized Losses	(16,853)	(732)
Total available for sale, Fair Value	441,097	430,697
Total available for sale, Carrying Value	441,097	430,697
Commercial Mortgage Backed Securities
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	547,757	125,709
Cumulative effect adjustment resulting from changes in accounting principles	0	0
Total available for sale, Gross Unrealized Gains	215	3,388
Total available for sale, Gross Unrealized Losses	(19,363)	(341)
Total available for sale, Fair Value	528,609	128,756
Total available for sale, Carrying Value	528,609	128,756
Mortgage- Backed
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	1,855,776	1,066,453
Cumulative effect adjustment resulting from changes in accounting principles	(18)	0
Total available for sale, Gross Unrealized Gains	610	13,284
Total available for sale, Gross Unrealized Losses	(190,958)	(11,662)
Total available for sale, Fair Value	1,665,410	1,068,075
Total available for sale, Carrying Value	1,665,410	1,068,075
Asset-backed Securities
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	4,132,365	4,504,950
Cumulative effect adjustment resulting from changes in accounting principles	0	0
Total available for sale, Gross Unrealized Gains	2,730	4,409
Total available for sale, Gross Unrealized Losses	(152,322)	(18,794)
Total available for sale, Fair Value	3,982,773	4,490,565
Total available for sale, Carrying Value	3,982,773	4,490,565
Industrial Property
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	3,491,645	3,231,520
Cumulative effect adjustment resulting from changes in accounting principles	(1,704)	(16)
Total available for sale, Gross Unrealized Gains	4,439	62,751
Total available for sale, Gross Unrealized Losses	(241,381)	(21,092)
Total available for sale, Fair Value	3,252,999	3,273,163
Total available for sale, Carrying Value	3,252,999	3,273,163
Debt Security, Corporate, US
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	2,585,247	1,739,282
Cumulative effect adjustment resulting from changes in accounting principles	(2,997)	0
Total available for sale, Gross Unrealized Gains	5,505	30,709
Total available for sale, Gross Unrealized Losses	(117,383)	(6,591)
Total available for sale, Fair Value	2,470,372	1,763,400
Total available for sale, Carrying Value	2,470,372	1,763,400
Public Utility, Bonds
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	586,066	396,242
Cumulative effect adjustment resulting from changes in accounting principles	0	0
Total available for sale, Gross Unrealized Gains	1,307	13,262
Total available for sale, Gross Unrealized Losses	(36,325)	(3,202)
Total available for sale, Fair Value	551,048	406,302
Total available for sale, Carrying Value	551,048	406,302
Other Security Investments
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	441,230	154,210
Cumulative effect adjustment resulting from changes in accounting principles	0	0
Total available for sale, Gross Unrealized Gains	0	125
Total available for sale, Gross Unrealized Losses	(11,657)	(1,525)
Total available for sale, Fair Value	429,573	152,810
Total available for sale, Carrying Value	429,573	152,810
Corporate
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	7,104,188	5,521,254
Cumulative effect adjustment resulting from changes in accounting principles	(4,701)	(16)	(518)
Total available for sale, Gross Unrealized Gains	11,251	106,847
Total available for sale, Gross Unrealized Losses	(406,746)	(32,410)
Total available for sale, Fair Value	6,703,992	5,595,675
Total available for sale, Carrying Value	6,703,992	5,595,675
Foreign government
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Fixed maturity securities available for sale at cost	1,564,930	1,277,109
Cumulative effect adjustment resulting from changes in accounting principles	(32,633)	(22,222)	$ (1,264)
Total available for sale, Gross Unrealized Gains	4,283	7,508
Total available for sale, Gross Unrealized Losses	(135,058)	(47,494)
Total available for sale, Fair Value	1,401,522	1,214,901
Total available for sale, Carrying Value	$ 1,401,522	$ 1,214,901

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Investments in Fixed Maturity Securities (HTM Allowance for Credit Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Debt Securities, Held-to-maturity, Allowance for Credit Loss [Roll Forward]
Allowance for expected credit losses at January 1, 2020	$ 387	$ 798
Provision for expected credit losses	(273)	(411)
Allowance for expected credit losses at September 30, 2020	$ 114	$ 387

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Investments in Fixed Maturity Securities (AFS Allowance for Credit Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Debt Securities, Available-for-sale, Allowance for Credit Loss [Roll Forward]
Allowance for expected credit losses at January 1, 2020	$ 22,238	$ 1,782
Expected credit losses on securities for which credit losses were not previously recorded	4,579	19,088
Expected credit losses on securities for which credit losses were previously recorded	10,573	1,925
Reduction due to disposals	(38)	(557)
Allowance for expected credit losses at September 30, 2020	37,352	22,238
Foreign Government
Debt Securities, Available-for-sale, Allowance for Credit Loss [Roll Forward]
Allowance for expected credit losses at January 1, 2020	22,222	1,264
Expected credit losses on securities for which credit losses were not previously recorded	1,910	19,072
Expected credit losses on securities for which credit losses were previously recorded	8,534	2,438
Reduction due to disposals	(33)	(552)
Allowance for expected credit losses at September 30, 2020	32,633	22,222
Corporate
Debt Securities, Available-for-sale, Allowance for Credit Loss [Roll Forward]
Allowance for expected credit losses at January 1, 2020	16	518
Expected credit losses on securities for which credit losses were not previously recorded	2,648	16
Expected credit losses on securities for which credit losses were previously recorded	2,042	(513)
Reduction due to disposals	(5)	(5)
Allowance for expected credit losses at September 30, 2020	4,701	16
Mortgage- Backed
Debt Securities, Available-for-sale, Allowance for Credit Loss [Roll Forward]
Allowance for expected credit losses at January 1, 2020	0
Expected credit losses on securities for which credit losses were not previously recorded	21
Expected credit losses on securities for which credit losses were previously recorded	(3)
Reduction due to disposals	0
Allowance for expected credit losses at September 30, 2020	$ 18	$ 0

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Investments in Fixed Maturity Securities (The Amortized Cost and Fair Value of Fixed Maturity Securities) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Investments, Debt and Equity Securities [Abstract]
Amortized Cost, Due in one year or less	$ 1,570,480
Amortized Cost, Due after one year through five years	8,746,271
Amortized Cost, Due after five years through ten years	4,395,236
Amortized Cost, Due after ten years	2,143,998
Amortized Cost, Mortgage-backed securities	1,859,384
Total investment in fixed maturity securities, Amortized Cost	18,715,369
Fair Value, Due in one year or less	1,527,090
Fair Value, Due after one year through five years	8,299,945
Fair Value, Due after five years through ten years	4,119,772
Fair Value, Due after ten years	1,975,763
Fair Value, Mortgage-backed securities	1,669,056
Total investments in fixed maturity securities, Fair Value	17,591,626
Held-to-maturity, allowance for credit loss	$ 114	$ 387	$ 798

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Investments in Fixed Maturity Securities (Narrative) (Details) $ in Millions	Dec. 31, 2022 USD ($)
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Debt Securities, Held-to-maturity, Restricted	$ 1,218
Insurance
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Debt Securities, Held-to-maturity, Restricted	656
Reinsurance & Monoline Excess
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Debt Securities, Held-to-maturity, Restricted	31
Letters of Credit Outstanding, Amount	5
523991 Trust, Fiduciary, and Custody Activities
Schedule of Available-for-sale and Held-to-maturity Securities [Table] [Line Items]
Debt Securities, Held-to-maturity, Restricted	$ 1,910

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Investments in Equity Securities (Investments in Equity Securities Available for Sale) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Fair Value
Debt Securities, Available-for-sale [Line Items]
Cost	$ 1,115,328	$ 870,045
Gross unrealized gains	193,218	100,275
Gross unrealized losses	(122,652)	(29,077)
Equity securities	1,185,894	941,243
Fair Value | Common stocks
Debt Securities, Available-for-sale [Line Items]
Cost	855,987	619,896
Gross unrealized gains	192,165	92,401
Gross unrealized losses	(65,401)	(16,894)
Equity securities	982,751	695,403
Fair Value | Preferred stocks
Debt Securities, Available-for-sale [Line Items]
Cost	259,341	250,149
Gross unrealized gains	1,053	7,874
Gross unrealized losses	(57,251)	(12,183)
Equity securities	203,143	245,840
Carrying Value
Debt Securities, Available-for-sale [Line Items]
Equity securities	1,185,894	941,243
Carrying Value | Common stocks
Debt Securities, Available-for-sale [Line Items]
Equity securities	982,751	695,403
Carrying Value | Preferred stocks
Debt Securities, Available-for-sale [Line Items]
Equity securities	$ 203,143	$ 245,840

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Arbitrage Trading Account (Details) - USD ($)	Dec. 31, 2022	Dec. 31, 2021
Trading Securities and Derivative Instruments [Abstract]
Arbitrage trading account	$ 944,000,000	$ 1,180,000,000
Options Held | Short
Derivative [Line Items]
Other derivatives not designated as hedging instruments at fair value, net	100
Derivative, notional amount	$ 10,000

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Net Investment Income (Net Investment Income) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Net Investment Income [Line Items]
Gross investment income	$ 789,106	$ 679,414	$ 592,946
Investment expense	(9,921)	(7,796)	(9,125)
Net investment income	779,185	671,618	583,821
Fixed maturity securities, including cash and cash equivalents and loans receivable
Net Investment Income [Line Items]
Gross investment income	549,281	382,001	426,563
Investment funds
Net Investment Income [Line Items]
Gross investment income	145,099	220,014	54,253
Arbitrage trading account
Net Investment Income [Line Items]
Gross investment income	45,213	37,676	77,931
Real estate
Net Investment Income [Line Items]
Gross investment income	(3,087)	7,703	24,027
Equity securities
Net Investment Income [Line Items]
Gross investment income	$ 52,600	$ 32,020	$ 10,172

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Investment Funds (Schedule of Investment Funds) (Details) - USD ($) $ in Thousands			12 Months Ended
	Jul. 01, 2022	Jan. 01, 2021	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Schedule of Equity Method Investments [Line Items]
Maximum loss exposure			$ 402,000
Investment funds			1,608,548	$ 1,480,612
Income (Loss) From Investment Funds For the Year Ended			145,099	220,014	$ 54,253
Ceded to Other Companies			1,904,982	1,837,267	1,585,210
Deferred compensation trust assets			30,000	34,000
Lifson Re
Schedule of Equity Method Investments [Line Items]
Ceded to Other Companies			399,000	245,000
Percentage of reinsurance placements of share placed amounts	30.00%	22.50%
Financial services
Schedule of Equity Method Investments [Line Items]
Investment funds			465,683	431,818
Income (Loss) From Investment Funds For the Year Ended			34,030	98,893	34,763
Transportation
Schedule of Equity Method Investments [Line Items]
Investment funds			336,753	336,688
Income (Loss) From Investment Funds For the Year Ended			53,180	42,424	(616)
Real estate
Schedule of Equity Method Investments [Line Items]
Investment funds			204,644	273,690
Income (Loss) From Investment Funds For the Year Ended			48,723	29,484	7,543
Energy
Schedule of Equity Method Investments [Line Items]
Investment funds			116,432	150,224
Income (Loss) From Investment Funds For the Year Ended			1,425	22,118	(11,039)
Infrastructure
Schedule of Equity Method Investments [Line Items]
Investment funds			115,428	12,314
Income (Loss) From Investment Funds For the Year Ended			4,603	1,372	1,672
Other funds
Schedule of Equity Method Investments [Line Items]
Investment funds			369,608	275,878
Income (Loss) From Investment Funds For the Year Ended			$ 3,138	$ 25,723	$ 21,930

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Real Estate (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
Real Estate [Abstract]
Properties in operation	$ 1,114,167	$ 1,626,826
Properties under development	226,455	225,682
Total	$ 1,340,622	$ 1,852,508

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Real Estate (Narrative) (Details) - USD ($)	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Real Estate [Abstract]
Accumulated depreciation and amortization on properites	$ 33,206,000	$ 57,391,000
Depreciation	12,269,000	$ 19,688,000
Lease future minimum payments 2022	32,282,796
Lease future minimum payments 2023	33,528,105
Lease future minimum payments 2024	31,015,149
Lease future minimum payments 2025	29,250,535
Lease future minimum payments 2026	28,334,384
Lease future minimum payments thereafter	$ 510,771,307

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Loans Receivable (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Loans Receivable [Line Items]
Loans receivable	$ 193,002	$ 115,172
Loans receivable	187,981	116,534
Loans in nonaccrual status	200	200
Real Estate
Loans Receivable [Line Items]
Loans receivable	173,616	89,431
Loans receivable	168,595	90,793
Commercial
Loans Receivable [Line Items]
Loans receivable	19,386	25,741
Loans receivable	$ 19,386	$ 25,741
Loans receivable maturity term	10 years

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Loans Receivable - Allowance For Credit Loss (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Financing Receivable, Allowance for Credit Loss [Line Items]
Allowance for expected credit losses at January 1, 2020	$ 1,718	$ 5,437
Financing receivable, allowance for credit loss	1,791	1,718
Provision for expected credit losses	73	(3,719)
Allowance for expected credit losses at September 30, 2020	1,791	1,718
Real Estate
Financing Receivable, Allowance for Credit Loss [Line Items]
Allowance for expected credit losses at January 1, 2020	1,362	1,683
Financing receivable, allowance for credit loss	1,100	1,362
Provision for expected credit losses	(262)	(321)
Allowance for expected credit losses at September 30, 2020	1,100	1,362
Commercial
Financing Receivable, Allowance for Credit Loss [Line Items]
Allowance for expected credit losses at January 1, 2020	356	3,754
Financing receivable, allowance for credit loss	691	356
Provision for expected credit losses	335	(3,398)
Allowance for expected credit losses at September 30, 2020	$ 691	$ 356

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Net Investment Gains (Losses) (Net Investment Gains (Losses)) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Investments, Debt and Equity Securities [Abstract]
Fixed maturity securities, Gains	$ 4,224	$ 18,981	$ 27,819
Fixed maturity securities, losses	(11,654)	(6,975)	(56,096)
Net realized (losses) gains on investment sales	(12,879)	16,365	32,647
Change in unrealized losses	(632)	(38,455)	(25,868)
Investment funds	12,407	44,778	31,481
Real estate (2)	293,525	94,911	101,554
Loans receivable	(32)	(881)	0
Other	(67,648)	(21,766)	(38,023)
Net realized and unrealized gains on investments in earnings before allowance for expected credit losses	217,311	106,958	73,514
Fixed maturity securities	(14,841)	(20,045)	33,134
Loans receivable	(73)	3,719	(3,648)
Change in allowance for expected credit losses on investments	(14,914)	(16,326)	29,486
Net investment gains	202,397	90,632	103,000
Income tax expense	$ (42,670)	(17,710)	(21,630)
After-tax net investment gains		$ 72,922	$ 81,370

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Net Investment Gains (Losses) (Change in Unrealized Gains (Losses) of Available For Sales Securities) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Realized and Unrealized Investment Gains Losses [Line Items]
Unrealized investment gains, before tax	$ (1,248,128)	$ (254,939)	$ 164,645
Income tax benefit (expense)	264,325	56,127	(24,395)
Noncontrolling interests	(2)	(2)	(2)
Total change in unrealized gains and losses	(983,805)	(198,814)	140,248
Debt Securities
Realized and Unrealized Investment Gains Losses [Line Items]
Unrealized investment gains, before tax	(1,216,292)	(262,221)	134,129
Fixed maturity securities with allowance for expected credit losses
Realized and Unrealized Investment Gains Losses [Line Items]
Unrealized investment gains, before tax	(28,370)	10,124	32,004
Investment funds
Realized and Unrealized Investment Gains Losses [Line Items]
Unrealized investment gains, before tax	(2,019)	(1,270)	2,280
Other
Realized and Unrealized Investment Gains Losses [Line Items]
Unrealized investment gains, before tax	$ (1,447)	$ (1,572)	$ (3,768)

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Fixed Maturity Securities in an Unrealized Loss Position (Securities in an Unrealized Loss Position) (Details) - External Credit Rating, Investment Grade - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
U.S. government and government agency
Debt Securities, Available-for-sale [Line Items]
Available-for-sale Securities, Less Than 12 Months, Fair Value	$ 285,391	$ 487,712
Available-for-sale Securities, Less Than 12 Months, Gross Unrealized Losses	10,219	4,026
Available-for-sale Securities, 12 Months or Greater, Fair Value	453,520	17,021
Available-for-sale Securities, 12 Months or Greater, Gross Unrealized Losses	58,939	268
Available-for-sale Securities, Fair Value	738,911	504,733
Available For Sale Securities, Gross Unrealized Losses	69,158	4,294
State and municipal
Debt Securities, Available-for-sale [Line Items]
Available-for-sale Securities, Less Than 12 Months, Fair Value	1,720,443	502,333
Available-for-sale Securities, Less Than 12 Months, Gross Unrealized Losses	89,272	7,403
Available-for-sale Securities, 12 Months or Greater, Fair Value	598,797	29,547
Available-for-sale Securities, 12 Months or Greater, Gross Unrealized Losses	79,320	2,156
Available-for-sale Securities, Fair Value	2,319,240	531,880
Available For Sale Securities, Gross Unrealized Losses	168,592	9,559
Mortgage- Backed
Debt Securities, Available-for-sale [Line Items]
Available-for-sale Securities, Less Than 12 Months, Fair Value	1,099,549	558,751
Available-for-sale Securities, Less Than 12 Months, Gross Unrealized Losses	75,430	6,900
Available-for-sale Securities, 12 Months or Greater, Fair Value	473,318	106,130
Available-for-sale Securities, 12 Months or Greater, Gross Unrealized Losses	115,528	4,762
Available-for-sale Securities, Fair Value	1,572,867	664,881
Available For Sale Securities, Gross Unrealized Losses	190,958	11,662
Asset-backed securities
Debt Securities, Available-for-sale [Line Items]
Available-for-sale Securities, Less Than 12 Months, Fair Value	1,569,647	3,832,944
Available-for-sale Securities, Less Than 12 Months, Gross Unrealized Losses	48,390	18,503
Available-for-sale Securities, 12 Months or Greater, Fair Value	2,176,638	75,385
Available-for-sale Securities, 12 Months or Greater, Gross Unrealized Losses	103,932	291
Available-for-sale Securities, Fair Value	3,746,285	3,908,329
Available For Sale Securities, Gross Unrealized Losses	152,322	18,794
Corporate
Debt Securities, Available-for-sale [Line Items]
Available-for-sale Securities, Less Than 12 Months, Fair Value	3,690,856	2,582,860
Available-for-sale Securities, Less Than 12 Months, Gross Unrealized Losses	150,115	29,322
Available-for-sale Securities, 12 Months or Greater, Fair Value	2,349,281	51,095
Available-for-sale Securities, 12 Months or Greater, Gross Unrealized Losses	256,631	3,088
Available-for-sale Securities, Fair Value	6,040,137	2,633,955
Available For Sale Securities, Gross Unrealized Losses	406,746	32,410
Foreign government
Debt Securities, Available-for-sale [Line Items]
Available-for-sale Securities, Less Than 12 Months, Fair Value	477,672	758,975
Available-for-sale Securities, Less Than 12 Months, Gross Unrealized Losses	29,815	15,793
Available-for-sale Securities, 12 Months or Greater, Fair Value	711,786	82,057
Available-for-sale Securities, 12 Months or Greater, Gross Unrealized Losses	105,243	31,701
Available-for-sale Securities, Fair Value	1,189,458	841,032
Available For Sale Securities, Gross Unrealized Losses	135,058	47,494
Debt Securities
Debt Securities, Available-for-sale [Line Items]
Available-for-sale Securities, Less Than 12 Months, Fair Value	8,843,558	8,723,575
Available-for-sale Securities, Less Than 12 Months, Gross Unrealized Losses	403,241	81,947
Available-for-sale Securities, 12 Months or Greater, Fair Value	6,763,340	361,235
Available-for-sale Securities, 12 Months or Greater, Gross Unrealized Losses	719,593	42,266
Available-for-sale Securities, Fair Value	15,606,898	9,084,810
Available For Sale Securities, Gross Unrealized Losses	$ 1,122,834	$ 124,213

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Fixed Maturity Securities in an Unrealized Loss Position (Non-Investment Grade Fixed Maturity Securities) (Details) - External Credit Rating, Non Investment Grade $ in Thousands	Dec. 31, 2022 USD ($)
Foreign government
Debt Securities, Available-for-sale [Line Items]
Number of Securities	1
Aggregate Fair Value	$ 16
Gross Unrealized Loss	$ 10
Corporate
Debt Securities, Available-for-sale [Line Items]
Number of Securities	14
Aggregate Fair Value	$ 4,464
Gross Unrealized Loss	$ 269
Mortgage- Backed
Debt Securities, Available-for-sale [Line Items]
Number of Securities	10
Aggregate Fair Value	$ 39,347
Gross Unrealized Loss	$ 4,649
Asset-backed securities
Debt Securities, Available-for-sale [Line Items]
Number of Securities	1
Aggregate Fair Value	$ 12,247
Gross Unrealized Loss	$ 2,756
Debt Securities
Debt Securities, Available-for-sale [Line Items]
Number of Securities	62
Aggregate Fair Value	$ 175,406
Gross Unrealized Loss	$ 81,584
State and municipal
Debt Securities, Available-for-sale [Line Items]
Number of Securities	36
Aggregate Fair Value	$ 119,332
Gross Unrealized Loss	$ 73,900

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Fair Value Measurements (Assets and Liabilities Measured At Fair Value, On a Recurring Basis) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	$ 17,536,053	$ 16,528,692
Arbitrage trading account	944,000	1,180,000
Recurring
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	17,536,053	16,528,692
Equity securities	1,185,894	941,243
Arbitrage trading account	944,230	1,179,606
Total	19,666,177	18,649,541
Trading account securities sold but not yet purchased	0	1,169
Recurring | Level 1
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Equity securities	978,991	684,470
Arbitrage trading account	822,192	1,153,079
Total	1,801,183	1,837,549
Trading account securities sold but not yet purchased	0	1,137
Recurring | Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	17,536,053	16,528,692
Equity securities	193,005	236,183
Arbitrage trading account	118,448	26,527
Total	17,847,506	16,791,402
Trading account securities sold but not yet purchased	0	32
Recurring | Level 3
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Equity securities	13,898	20,590
Arbitrage trading account	3,590	0
Total	17,488	20,590
Trading account securities sold but not yet purchased	0	0
Recurring | U.S. government and government agency
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	892,258	855,343
Recurring | U.S. government and government agency | Level 1
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Recurring | U.S. government and government agency | Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	892,258	855,343
Recurring | U.S. government and government agency | Level 3
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Recurring | State and municipal
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	2,890,098	3,304,133
Recurring | State and municipal | Level 1
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Recurring | State and municipal | Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	2,890,098	3,304,133
Recurring | State and municipal | Level 3
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Recurring | Mortgage- Backed
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	1,665,410	1,068,075
Recurring | Mortgage- Backed | Level 1
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Recurring | Mortgage- Backed | Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	1,665,410	1,068,075
Recurring | Mortgage- Backed | Level 3
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Recurring | Asset-backed securities
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	3,982,773	4,490,565
Recurring | Asset-backed securities | Level 1
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Recurring | Asset-backed securities | Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	3,982,773	4,490,565
Recurring | Asset-backed securities | Level 3
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Recurring | Corporate
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	6,703,992	5,595,675
Recurring | Corporate | Level 1
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Recurring | Corporate | Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	6,703,992	5,595,675
Recurring | Corporate | Level 3
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale		0
Recurring | Foreign government
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	1,401,522	1,214,901
Recurring | Foreign government | Level 1
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Recurring | Foreign government | Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	1,401,522	1,214,901
Recurring | Foreign government | Level 3
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fixed maturity securities available for sale	0	0
Recurring | Common stocks
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Equity securities	982,751	695,403
Recurring | Common stocks | Level 1
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Equity securities	978,991	684,470
Recurring | Common stocks | Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Equity securities	1,161	1,639
Recurring | Common stocks | Level 3
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Equity securities	2,599	9,294
Recurring | Preferred stocks
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Equity securities	203,143	245,840
Recurring | Preferred stocks | Level 1
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Equity securities	0	0
Recurring | Preferred stocks | Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Equity securities	191,844	234,544
Recurring | Preferred stocks | Level 3
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Equity securities	$ 11,299	$ 11,296

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Fair Value Measurements (Summarize Changes in Level 3 Assets and Liabilities) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Liabilities:
Fair Value Recurring Basis Unobservable Input Reconciliation Asset Gain Loss Statement Of Income Extensible List Not Disclosed Flag	Earnings (Losses)	Earnings (Losses)
Level 3
Assets:
Beginning Balance	$ 20,590	$ 19,546
Earnings (Losses)	(6,871)	613
Other Comprehensive Income (Losses)	0	0
Impairments	0	0
Purchases	5,610	2,000
Sales	(1,842)	(1,569)
Paydowns/Maturities	0	0
Transfers In / Out	1	0
Ending Balance	17,488	20,590
Liabilities:
Beginning Balance	0	0
Earnings (Losses)	0	1
Other Comprehensive Income (Losses)	0	0
Impairments	0	0
Purchases	0	(1)
Sales	0	0
Paydowns/Maturities	0	0
Transfers In / Out	0	0
Ending Balance	0	0
Level 3 | Debt Securities
Assets:
Beginning Balance	0	1,000
Earnings (Losses)	0	0
Other Comprehensive Income (Losses)	0	0
Impairments	0	0
Purchases	0	0
Sales	0	(1,000)
Paydowns/Maturities	0	0
Transfers In / Out	0	0
Ending Balance	0	0
Level 3 | Corporate
Assets:
Beginning Balance	0	1,000
Earnings (Losses)	0	0
Other Comprehensive Income (Losses)	0	0
Impairments	0	0
Purchases	0	0
Sales	0	(1,000)
Paydowns/Maturities	0	0
Transfers In / Out	0	0
Ending Balance	0	0
Level 3 | Equity securities
Assets:
Beginning Balance	20,590	18,546
Earnings (Losses)	(6,692)	605
Other Comprehensive Income (Losses)	0	0
Impairments	0	0
Purchases	925	2,000
Sales	(925)	(561)
Paydowns/Maturities	0	0
Transfers In / Out	0	0
Ending Balance	13,898	20,590
Level 3 | Common stocks
Assets:
Beginning Balance	9,294	9,215
Earnings (Losses)	(6,695)	640
Other Comprehensive Income (Losses)	0	0
Impairments	0	0
Purchases	0	0
Sales	0	(561)
Paydowns/Maturities	0	0
Transfers In / Out	0	0
Ending Balance	2,599	9,294
Level 3 | Preferred stocks
Assets:
Beginning Balance	11,296	9,331
Earnings (Losses)	3	(35)
Other Comprehensive Income (Losses)	0	0
Impairments	0	0
Purchases	925	2,000
Sales	(925)	0
Paydowns/Maturities	0	0
Transfers In / Out	0	0
Ending Balance	11,299	11,296
Level 3 | Trading account
Assets:
Beginning Balance	0	0
Earnings (Losses)	(179)	8
Other Comprehensive Income (Losses)	0	0
Impairments	0	0
Purchases	4,685	0
Sales	(917)	(8)
Paydowns/Maturities	0	0
Transfers In / Out	1	0
Ending Balance	$ 3,590	$ 0

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Reserves For Losses And Loss Expenses (Loss and Loss Expenses Incurred, Net of Reinsurance, and Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance) (Details) $ in Thousands	Dec. 31, 2022 USD ($) claim	Dec. 31, 2021 USD ($)	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 ($)	Dec. 31, 2013 USD ($)
Claims Development [Line Items]
Reserves for loss and loss adjustment expenses, net of reinsurance	$ 14,665,237
Other liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	11,924,316
Cumulative paid claims and claim adjustment expenses, net of reinsurance	6,513,546
Reserves for loss and loss adjustment expenses before 2013, net of reinsurance	125,357
Reserves for loss and loss adjustment expenses, net of reinsurance	5,536,127
Workers' compensation
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	6,716,685
Cumulative paid claims and claim adjustment expenses, net of reinsurance	5,008,947
Reserves for loss and loss adjustment expenses before 2013, net of reinsurance	214,233
Reserves for loss and loss adjustment expenses, net of reinsurance	1,921,971
Professional liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	3,874,102
Cumulative paid claims and claim adjustment expenses, net of reinsurance	2,161,200
Reserves for loss and loss adjustment expenses before 2013, net of reinsurance	36,484
Reserves for loss and loss adjustment expenses, net of reinsurance	1,749,386
Commercial automobile
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	4,968,723
Cumulative paid claims and claim adjustment expenses, net of reinsurance	3,819,737
Reserves for loss and loss adjustment expenses before 2013, net of reinsurance	3,731
Reserves for loss and loss adjustment expenses, net of reinsurance	1,152,717
Short-tail lines
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	7,538,091
Cumulative paid claims and claim adjustment expenses, net of reinsurance	6,781,190
Reserves for loss and loss adjustment expenses before 2013, net of reinsurance	4,727
Reserves for loss and loss adjustment expenses, net of reinsurance	761,628
Casualty
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	3,147,324
Cumulative paid claims and claim adjustment expenses, net of reinsurance	1,572,474
Reserves for loss and loss adjustment expenses before 2013, net of reinsurance	417,861
Reserves for loss and loss adjustment expenses, net of reinsurance	1,992,711
Monoline excess
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	612,376
Cumulative paid claims and claim adjustment expenses, net of reinsurance	110,777
Reserves for loss and loss adjustment expenses before 2013, net of reinsurance	644,712
Reserves for loss and loss adjustment expenses, net of reinsurance	1,146,311
Property
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	1,325,878
Cumulative paid claims and claim adjustment expenses, net of reinsurance	1,047,114
Reserves for loss and loss adjustment expenses before 2013, net of reinsurance	1,036
Reserves for loss and loss adjustment expenses, net of reinsurance	279,800
Accident Year 2011 | Other liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	809,358	$ 807,998	$ 805,915	$ 801,689	$ 806,914	$ 800,593	$ 779,706	$ 779,908	$ 788,581	$ 749,261
Cumulative paid claims and claim adjustment expenses, net of reinsurance	761,461	738,858	717,908	691,495	646,257	585,608	470,566	330,127	188,023	63,243
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 21,362
Short-duration insurance contract, cumulative number of reported claims | claim	26,000
Accident Year 2011 | Workers' compensation
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 534,948	538,503	540,322	541,926	542,274	547,000	543,238	546,995	547,295	552,570
Cumulative paid claims and claim adjustment expenses, net of reinsurance	502,181	496,809	489,075	479,104	466,580	447,894	414,160	363,028	277,538	117,900
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 11,473
Short-duration insurance contract, cumulative number of reported claims | claim	53,000
Accident Year 2011 | Professional liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 283,216	279,870	279,824	281,888	276,566	267,978	246,943	241,046	244,556	265,061
Cumulative paid claims and claim adjustment expenses, net of reinsurance	273,094	267,776	261,106	255,863	246,616	204,955	176,079	118,767	63,503	23,295
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 4,681
Short-duration insurance contract, cumulative number of reported claims | claim	7,000
Accident Year 2011 | Commercial automobile
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 364,607	364,439	364,207	365,275	366,166	366,646	376,243	368,894	349,136	327,514
Cumulative paid claims and claim adjustment expenses, net of reinsurance	364,147	362,624	362,252	361,499	352,792	342,961	321,855	267,253	218,596	142,929
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 103
Short-duration insurance contract, cumulative number of reported claims | claim	44,000
Accident Year 2011 | Short-tail lines
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 541,728	541,857	542,148	542,863	544,681	548,169	549,518	565,810	573,905	565,391
Cumulative paid claims and claim adjustment expenses, net of reinsurance	539,081	538,985	537,582	536,416	535,756	534,569	527,789	526,031	480,140	310,750
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 1,125
Short-duration insurance contract, cumulative number of reported claims | claim	25,000
Accident Year 2011 | Casualty
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 302,135	302,672	301,415	302,595	298,317	291,105	282,307	272,475	269,340	318,365
Cumulative paid claims and claim adjustment expenses, net of reinsurance	263,467	254,273	241,573	225,882	205,553	178,060	144,331	108,852	63,745	28,945
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	12,543
Accident Year 2011 | Monoline excess
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	23,306	25,701	29,758	31,752	35,120	40,207	44,162	48,143	50,355	63,995
Cumulative paid claims and claim adjustment expenses, net of reinsurance	9,490	8,805	6,476	5,349	4,418	3,396	3,008	3,588	1,897	647
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	5,184
Accident Year 2011 | Property
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	105,711	106,316	107,552	109,697	111,890	112,572	111,937	114,100	112,616	141,380
Cumulative paid claims and claim adjustment expenses, net of reinsurance	105,059	104,388	104,403	107,603	106,043	104,323	101,538	92,625	74,572	$ 36,577
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	72
Accident Year 2012 | Other liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	862,630	861,382	862,749	867,400	861,313	848,138	843,501	845,564	844,832
Cumulative paid claims and claim adjustment expenses, net of reinsurance	781,533	758,098	728,718	678,490	592,828	478,924	337,426	190,419	78,705
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 35,808
Short-duration insurance contract, cumulative number of reported claims | claim	28,000
Accident Year 2012 | Workers' compensation
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 598,977	602,000	600,194	604,030	615,435	617,242	627,767	637,307	639,436
Cumulative paid claims and claim adjustment expenses, net of reinsurance	547,894	538,914	531,475	521,141	503,915	471,235	412,611	319,743	148,405
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 21,528
Short-duration insurance contract, cumulative number of reported claims | claim	57,000
Accident Year 2012 | Professional liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 253,244	254,243	254,868	255,850	236,961	241,376	257,309	244,574	250,740
Cumulative paid claims and claim adjustment expenses, net of reinsurance	237,145	234,459	225,236	213,888	197,272	174,524	137,341	83,063	19,225
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 12,284
Short-duration insurance contract, cumulative number of reported claims | claim	7,000
Accident Year 2012 | Commercial automobile
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 407,970	406,589	407,470	411,920	412,120	414,732	416,802	385,241	363,891
Cumulative paid claims and claim adjustment expenses, net of reinsurance	405,004	404,259	403,273	400,577	392,658	364,054	326,854	237,648	155,564
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 403
Short-duration insurance contract, cumulative number of reported claims | claim	47,000
Accident Year 2012 | Short-tail lines
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 658,557	660,250	662,012	659,568	659,230	658,252	659,563	697,845	691,971
Cumulative paid claims and claim adjustment expenses, net of reinsurance	654,089	653,784	653,272	650,816	643,619	628,440	609,948	587,607	368,865
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 1,549
Short-duration insurance contract, cumulative number of reported claims | claim	30,000
Accident Year 2012 | Casualty
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 341,649	336,990	335,883	324,150	324,693	330,382	318,443	318,904	319,454
Cumulative paid claims and claim adjustment expenses, net of reinsurance	284,360	271,512	252,155	227,448	197,996	155,070	115,779	68,374	21,297
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	16,184
Accident Year 2012 | Monoline excess
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	35,707	40,652	42,618	42,541	41,671	45,823	49,570	57,650	63,561
Cumulative paid claims and claim adjustment expenses, net of reinsurance	13,491	11,938	11,154	7,595	5,808	4,175	3,354	2,341	377
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	7,484
Accident Year 2012 | Property
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	96,656	97,315	99,244	98,838	99,176	99,941	97,195	96,492	112,907
Cumulative paid claims and claim adjustment expenses, net of reinsurance	95,633	95,198	94,565	93,099	91,390	88,257	82,119	66,829	$ 38,780
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	177
Accident Year 2013 | Other liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	1,010,796	981,071	974,345	964,301	961,761	958,734	984,262	948,389
Cumulative paid claims and claim adjustment expenses, net of reinsurance	872,657	814,191	755,641	674,665	536,855	381,328	210,151	82,638
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 55,430
Short-duration insurance contract, cumulative number of reported claims | claim	27,000
Accident Year 2013 | Workers' compensation
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 612,687	617,478	620,741	626,432	641,169	650,997	690,525	712,800
Cumulative paid claims and claim adjustment expenses, net of reinsurance	557,215	544,849	531,512	512,933	477,541	421,734	323,744	139,320
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 29,213
Short-duration insurance contract, cumulative number of reported claims | claim	58,000
Accident Year 2013 | Professional liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 286,271	282,065	281,718	290,141	274,546	272,899	256,595	257,946
Cumulative paid claims and claim adjustment expenses, net of reinsurance	246,031	239,150	232,143	215,408	186,688	139,205	85,047	20,331
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 19,949
Short-duration insurance contract, cumulative number of reported claims | claim	8,000
Accident Year 2013 | Commercial automobile
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 427,923	426,107	428,981	430,557	429,608	421,522	415,446	389,577
Cumulative paid claims and claim adjustment expenses, net of reinsurance	418,993	415,170	409,426	396,018	368,448	323,429	263,663	159,987
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 1,362
Short-duration insurance contract, cumulative number of reported claims | claim	53,000
Accident Year 2013 | Short-tail lines
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 710,978	710,663	712,361	713,899	721,789	723,206	726,287	736,523
Cumulative paid claims and claim adjustment expenses, net of reinsurance	708,214	708,065	701,341	695,563	686,029	664,084	608,748	392,921
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 3,842
Short-duration insurance contract, cumulative number of reported claims | claim	32,000
Accident Year 2013 | Casualty
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 309,317	304,805	303,261	293,094	252,277	230,085	231,430	259,019
Cumulative paid claims and claim adjustment expenses, net of reinsurance	250,880	233,643	205,289	178,521	141,254	91,140	48,442	17,888
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	19,728
Accident Year 2013 | Monoline excess
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	30,104	36,774	39,781	39,682	45,115	50,099	57,897	69,977
Cumulative paid claims and claim adjustment expenses, net of reinsurance	6,457	5,421	5,083	4,416	4,099	3,272	2,481	2,069
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	8,683
Accident Year 2013 | Property
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	131,342	130,642	131,071	129,398	130,301	131,625	117,452	127,118
Cumulative paid claims and claim adjustment expenses, net of reinsurance	127,995	126,848	125,439	122,566	118,552	109,051	89,121	$ 53,474
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	1,061
Accident Year 2014 | Other liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	1,091,569	1,059,897	1,043,948	1,029,821	1,018,253	1,009,051	1,016,106
Cumulative paid claims and claim adjustment expenses, net of reinsurance	870,981	766,515	676,735	557,998	389,862	208,828	69,407
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 96,310
Short-duration insurance contract, cumulative number of reported claims | claim	28,000
Accident Year 2014 | Workers' compensation
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 654,385	657,972	651,278	660,520	684,700	696,339	702,716
Cumulative paid claims and claim adjustment expenses, net of reinsurance	572,669	558,934	537,861	504,850	446,072	338,835	142,998
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 36,834
Short-duration insurance contract, cumulative number of reported claims | claim	58,000
Accident Year 2014 | Professional liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 463,102	467,545	438,065	400,799	360,110	323,222	309,417
Cumulative paid claims and claim adjustment expenses, net of reinsurance	404,742	356,812	296,863	254,872	201,019	102,173	28,517
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 33,241
Short-duration insurance contract, cumulative number of reported claims | claim	9,000
Accident Year 2014 | Commercial automobile
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 439,682	437,884	438,192	441,408	440,334	429,074	429,329
Cumulative paid claims and claim adjustment expenses, net of reinsurance	426,955	418,499	407,989	388,554	339,657	277,665	183,160
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 2,244
Short-duration insurance contract, cumulative number of reported claims | claim	52,000
Accident Year 2014 | Short-tail lines
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 752,604	753,952	751,530	757,009	762,460	775,308	771,390
Cumulative paid claims and claim adjustment expenses, net of reinsurance	739,244	738,390	731,651	726,549	711,385	669,891	416,611
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 3,363
Short-duration insurance contract, cumulative number of reported claims | claim	34,000
Accident Year 2014 | Casualty
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 310,451	301,355	301,663	267,850	245,268	252,638	240,655
Cumulative paid claims and claim adjustment expenses, net of reinsurance	225,077	205,354	171,719	140,299	100,200	61,770	19,904
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	24,928
Accident Year 2014 | Monoline excess
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	61,432	65,222	65,485	64,957	71,404	70,281	72,657
Cumulative paid claims and claim adjustment expenses, net of reinsurance	11,819	9,883	7,685	5,928	5,573	4,783	2,498
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	13,634
Accident Year 2014 | Property
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	185,249	184,150	186,159	180,885	181,634	174,423	167,901
Cumulative paid claims and claim adjustment expenses, net of reinsurance	182,411	178,060	175,949	168,506	157,404	133,516	$ 78,920
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	1,482
Accident Year 2015 | Other liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	1,249,129	1,178,604	1,138,785	1,121,833	1,099,396	1,065,550
Cumulative paid claims and claim adjustment expenses, net of reinsurance	930,630	774,738	638,934	453,097	255,603	79,887
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 142,974
Short-duration insurance contract, cumulative number of reported claims | claim	28,000
Accident Year 2015 | Workers' compensation
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 682,153	683,880	673,216	689,622	733,505	762,093
Cumulative paid claims and claim adjustment expenses, net of reinsurance	583,258	559,198	525,753	468,817	362,299	153,456
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 41,944
Short-duration insurance contract, cumulative number of reported claims | claim	58,000
Accident Year 2015 | Professional liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 393,409	384,416	377,410	338,723	332,400	333,267
Cumulative paid claims and claim adjustment expenses, net of reinsurance	306,713	261,225	243,088	162,829	96,312	36,503
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 53,786
Short-duration insurance contract, cumulative number of reported claims | claim	10,000
Accident Year 2015 | Commercial automobile
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 444,472	439,991	434,170	430,198	428,419	430,440
Cumulative paid claims and claim adjustment expenses, net of reinsurance	419,545	401,844	371,761	326,861	267,326	180,545
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 4,800
Short-duration insurance contract, cumulative number of reported claims | claim	47,000
Accident Year 2015 | Short-tail lines
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 747,869	746,603	747,003	747,630	753,326	752,727
Cumulative paid claims and claim adjustment expenses, net of reinsurance	741,685	734,509	730,688	718,538	689,662	445,285
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 8,195
Short-duration insurance contract, cumulative number of reported claims | claim	42,000
Accident Year 2015 | Casualty
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 298,486	281,254	261,482	238,883	220,699	231,082
Cumulative paid claims and claim adjustment expenses, net of reinsurance	175,059	147,311	123,614	69,350	40,085	16,469
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	36,491
Accident Year 2015 | Monoline excess
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	62,647	66,795	71,025	70,749	80,508	76,701
Cumulative paid claims and claim adjustment expenses, net of reinsurance	19,275	18,375	17,327	15,356	12,810	6,282
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	16,529
Accident Year 2015 | Property
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	192,379	191,867	197,978	199,410	200,394	206,560
Cumulative paid claims and claim adjustment expenses, net of reinsurance	185,823	182,609	179,749	171,675	141,340	$ 72,126
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	1,209
Accident Year 2016 | Other liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	1,232,803	1,156,157	1,121,317	1,131,549	1,103,900
Cumulative paid claims and claim adjustment expenses, net of reinsurance	806,869	615,753	435,729	264,299	86,798
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 181,880
Short-duration insurance contract, cumulative number of reported claims | claim	27,000
Accident Year 2016 | Workers' compensation
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 721,170	724,056	715,055	724,697	778,964
Cumulative paid claims and claim adjustment expenses, net of reinsurance	613,675	574,889	508,546	397,464	171,006
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 43,766
Short-duration insurance contract, cumulative number of reported claims | claim	56,000
Accident Year 2016 | Professional liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 382,409	359,566	333,408	322,176	334,848
Cumulative paid claims and claim adjustment expenses, net of reinsurance	244,284	198,697	155,212	99,598	28,101
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 73,828
Short-duration insurance contract, cumulative number of reported claims | claim	10,000
Accident Year 2016 | Commercial automobile
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 521,667	494,315	478,966	462,544	442,610
Cumulative paid claims and claim adjustment expenses, net of reinsurance	463,117	412,874	350,110	281,475	180,056
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 10,720
Short-duration insurance contract, cumulative number of reported claims | claim	46,000
Accident Year 2016 | Short-tail lines
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 742,289	744,544	746,265	748,931	759,634
Cumulative paid claims and claim adjustment expenses, net of reinsurance	725,228	725,138	708,214	661,741	414,910
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 11,491
Short-duration insurance contract, cumulative number of reported claims | claim	48,000
Accident Year 2016 | Casualty
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 261,148	246,898	230,790	210,397	221,193
Cumulative paid claims and claim adjustment expenses, net of reinsurance	141,553	109,474	77,498	40,953	11,076
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	44,474
Accident Year 2016 | Monoline excess
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	57,847	66,180	71,448	72,505	77,820
Cumulative paid claims and claim adjustment expenses, net of reinsurance	12,414	10,359	9,368	8,230	6,141
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	20,826
Accident Year 2016 | Property
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	102,953	105,101	103,104	112,068	108,220
Cumulative paid claims and claim adjustment expenses, net of reinsurance	94,870	87,736	82,259	65,079	$ 33,991
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	1,754
Accident Year 2017 | Other liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	1,294,681	1,237,824	1,237,336	1,240,560
Cumulative paid claims and claim adjustment expenses, net of reinsurance	704,928	471,239	275,343	88,195
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 292,625
Short-duration insurance contract, cumulative number of reported claims | claim	28,000
Accident Year 2017 | Workers' compensation
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 734,034	732,762	721,018	784,281
Cumulative paid claims and claim adjustment expenses, net of reinsurance	581,003	515,914	397,376	184,715
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 67,254
Short-duration insurance contract, cumulative number of reported claims | claim	54,000
Accident Year 2017 | Professional liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 354,283	345,614	332,385	336,129
Cumulative paid claims and claim adjustment expenses, net of reinsurance	200,521	147,985	97,466	31,674
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 93,387
Short-duration insurance contract, cumulative number of reported claims | claim	11,000
Accident Year 2017 | Commercial automobile
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 530,876	504,813	488,291	483,019
Cumulative paid claims and claim adjustment expenses, net of reinsurance	440,378	374,479	290,124	185,236
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 22,483
Short-duration insurance contract, cumulative number of reported claims | claim	45,000
Accident Year 2017 | Short-tail lines
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 684,708	691,015	701,241	721,073
Cumulative paid claims and claim adjustment expenses, net of reinsurance	657,819	645,374	615,869	404,975
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 18,311
Short-duration insurance contract, cumulative number of reported claims | claim	43,000
Accident Year 2017 | Casualty
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 240,848	239,131	230,460	236,318
Cumulative paid claims and claim adjustment expenses, net of reinsurance	94,856	64,020	39,091	14,560
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	72,504
Accident Year 2017 | Monoline excess
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	73,978	76,242	77,482	78,929
Cumulative paid claims and claim adjustment expenses, net of reinsurance	15,436	12,728	10,884	6,241
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	21,878
Accident Year 2017 | Property
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	81,014	81,858	77,062	103,113
Cumulative paid claims and claim adjustment expenses, net of reinsurance	71,054	68,457	54,499	$ 23,081
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	3,637
Accident Year 2018 | Other liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	1,158,880	1,212,790	1,339,565
Cumulative paid claims and claim adjustment expenses, net of reinsurance	423,283	225,068	72,232
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 489,718
Short-duration insurance contract, cumulative number of reported claims | claim	22,000
Accident Year 2018 | Workers' compensation
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 704,008	716,430	725,245
Cumulative paid claims and claim adjustment expenses, net of reinsurance	485,203	380,454	172,478
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 96,322
Short-duration insurance contract, cumulative number of reported claims | claim	42,000
Accident Year 2018 | Professional liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 337,961	375,577	394,107
Cumulative paid claims and claim adjustment expenses, net of reinsurance	129,168	80,408	28,106
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 159,767
Short-duration insurance contract, cumulative number of reported claims | claim	11,000
Accident Year 2018 | Commercial automobile
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 442,163	428,759	523,736
Cumulative paid claims and claim adjustment expenses, net of reinsurance	308,451	228,357	142,815
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 31,172
Short-duration insurance contract, cumulative number of reported claims | claim	30,000
Accident Year 2018 | Short-tail lines
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 922,333	904,580	900,683
Cumulative paid claims and claim adjustment expenses, net of reinsurance	845,714	784,670	460,434
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 24,934
Short-duration insurance contract, cumulative number of reported claims | claim	38,000
Accident Year 2018 | Casualty
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 289,878	293,345	299,602
Cumulative paid claims and claim adjustment expenses, net of reinsurance	81,789	49,664	20,750
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	136,865
Accident Year 2018 | Monoline excess
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	80,452	83,468	84,354
Cumulative paid claims and claim adjustment expenses, net of reinsurance	10,471	8,699	4,869
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	35,638
Accident Year 2018 | Property
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	116,774	117,867	114,590
Cumulative paid claims and claim adjustment expenses, net of reinsurance	86,888	65,575	$ 26,574
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	3,946
Accident Year 2019 | Other liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	1,390,790	1,534,580
Cumulative paid claims and claim adjustment expenses, net of reinsurance	267,685	76,612
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 841,854
Short-duration insurance contract, cumulative number of reported claims | claim	23,000
Accident Year 2019 | Workers' compensation
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 701,703	742,687
Cumulative paid claims and claim adjustment expenses, net of reinsurance	384,867	172,729
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 149,447
Short-duration insurance contract, cumulative number of reported claims | claim	45,000
Accident Year 2019 | Professional liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 471,266	524,879
Cumulative paid claims and claim adjustment expenses, net of reinsurance	86,056	28,586
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 315,877
Short-duration insurance contract, cumulative number of reported claims | claim	11,000
Accident Year 2019 | Commercial automobile
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 596,810	614,422
Cumulative paid claims and claim adjustment expenses, net of reinsurance	319,941	180,860
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 111,412
Short-duration insurance contract, cumulative number of reported claims | claim	38,000
Accident Year 2019 | Short-tail lines
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 832,183	828,187
Cumulative paid claims and claim adjustment expenses, net of reinsurance	698,092	405,512
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 57,246
Short-duration insurance contract, cumulative number of reported claims | claim	36,000
Accident Year 2019 | Casualty
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 346,736	359,952
Cumulative paid claims and claim adjustment expenses, net of reinsurance	43,838	10,918
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	243,222
Accident Year 2019 | Monoline excess
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	87,980	98,110
Cumulative paid claims and claim adjustment expenses, net of reinsurance	6,026	4,586
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	48,670
Accident Year 2019 | Property
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	146,761	133,938
Cumulative paid claims and claim adjustment expenses, net of reinsurance	71,797	$ 15,235
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	28,634
Accident Year 2020 | Other liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	1,823,680
Cumulative paid claims and claim adjustment expenses, net of reinsurance	93,519
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 1,507,284
Short-duration insurance contract, cumulative number of reported claims | claim	20,000
Accident Year 2020 | Workers' compensation
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 772,620
Cumulative paid claims and claim adjustment expenses, net of reinsurance	180,982
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 348,348
Short-duration insurance contract, cumulative number of reported claims | claim	41,000
Accident Year 2020 | Professional liability
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 648,941
Cumulative paid claims and claim adjustment expenses, net of reinsurance	33,446
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 543,483
Short-duration insurance contract, cumulative number of reported claims | claim	10,000
Accident Year 2020 | Commercial automobile
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 792,553
Cumulative paid claims and claim adjustment expenses, net of reinsurance	253,206
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 342,905
Short-duration insurance contract, cumulative number of reported claims | claim	40,000
Accident Year 2020 | Short-tail lines
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 944,842
Cumulative paid claims and claim adjustment expenses, net of reinsurance	472,024
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 235,121
Short-duration insurance contract, cumulative number of reported claims | claim	32,000
Accident Year 2020 | Casualty
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	$ 446,676
Cumulative paid claims and claim adjustment expenses, net of reinsurance	11,595
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	402,204
Accident Year 2020 | Monoline excess
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	98,923
Cumulative paid claims and claim adjustment expenses, net of reinsurance	5,898
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	66,865
Accident Year 2020 | Property
Claims Development [Line Items]
Loss and loss expenses incurred, net of reinsurance	167,039
Cumulative paid claims and claim adjustment expenses, net of reinsurance	25,584
Short-duration insurance contracts, incurred but not reported (IBNR) claims liability, net	$ 78,818

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Reserves For Losses And Loss Expenses (Reconciliation of Net Incurred and Paid Claims Development to Reserves for Loss and Loss Adjustment Expenses) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	$ 14,665,237
Total due from reinsurers on unpaid claims	2,762,344
Total loss reserve discount	(416,358)
Gross reserves at end of year	17,011,223	$ 15,390,888	$ 13,784,430
Other liability
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	5,536,127
Workers' compensation
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	1,921,971
Professional liability
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	1,749,386
Commercial automobile
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	1,152,717
Short-tail lines
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	761,628
Casualty
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	1,992,711
Monoline excess
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	1,146,311
Property
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	279,800
Insurance
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	11,246,415
Total due from reinsurers on unpaid claims	2,551,563
Total loss reserve discount	(12,491)
Insurance | Other liability
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	5,536,127
Total due from reinsurers on unpaid claims	730,029
Total loss reserve discount	0
Insurance | Workers' compensation
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	1,921,971
Total due from reinsurers on unpaid claims	221,769
Total loss reserve discount	(12,491)
Insurance | Professional liability
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	1,749,386
Total due from reinsurers on unpaid claims	1,019,810
Total loss reserve discount	0
Insurance | Commercial automobile
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	1,152,717
Total due from reinsurers on unpaid claims	67,895
Total loss reserve discount	0
Insurance | Short-tail lines
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	761,628
Total due from reinsurers on unpaid claims	414,549
Total loss reserve discount	0
Insurance | Other
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	124,586
Total due from reinsurers on unpaid claims	97,511
Total loss reserve discount	0
Reinsurance & Monoline Excess
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	3,418,822
Total due from reinsurers on unpaid claims	210,781
Total loss reserve discount	(403,867)
Reinsurance & Monoline Excess | Casualty
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	1,992,711
Total due from reinsurers on unpaid claims	108,390
Total loss reserve discount	(84,668)
Reinsurance & Monoline Excess | Monoline excess
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	1,146,311
Total due from reinsurers on unpaid claims	35,926
Total loss reserve discount	319,199
Reinsurance & Monoline Excess | Property
Short-duration Insurance Contracts, Reconciliation of Claims Development to Liability [Line Items]
Total undiscounted reserves for loss and loss expenses, net of reinsurance	279,800
Total due from reinsurers on unpaid claims	66,465
Total loss reserve discount	$ 0

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Reserves For Losses And Loss Expenses (Supplementary Information Regarding Average Historical Claims Duration) (Details)	Dec. 31, 2022
Insurance | Other liability
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 1	6.90%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 2	13.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 3	16.30%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 4	16.00%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 5	13.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 6	9.20%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 7	6.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 8	4.20%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 9	2.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 10	2.80%
Insurance | Workers' compensation
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 1	23.50%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 2	29.90%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 3	15.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 4	9.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 5	5.50%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 6	3.20%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 7	2.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 8	1.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 9	1.50%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 10	1.00%
Insurance | Professional liability
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 1	7.40%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 2	17.60%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 3	17.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 4	15.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 5	9.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 6	10.30%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 7	5.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 8	2.60%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 9	3.00%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 10	1.90%
Insurance | Commercial automobile
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 1	36.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 2	20.90%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 3	15.50%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 4	11.50%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 5	6.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 6	2.80%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 7	1.60%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 8	0.40%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 9	0.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 10	0.40%
Insurance | Short-tail lines
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 1	54.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 2	32.80%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 3	5.80%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 4	2.00%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 5	1.00%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 6	0.80%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 7	0.40%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 8	0.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 9	0.20%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 10	0.00%
Reinsurance & Monoline Excess | Casualty
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 1	5.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 2	10.90%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 3	12.50%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 4	13.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 5	11.00%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 6	9.30%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 7	7.40%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 8	5.50%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 9	4.00%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 10	3.00%
Reinsurance & Monoline Excess | Monoline excess
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 1	6.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 2	4.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 3	3.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 4	1.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 5	2.60%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 6	3.30%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 7	4.60%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 8	3.50%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 9	7.20%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 10	2.90%
Reinsurance & Monoline Excess | Property
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 1	30.50%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 2	33.20%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 3	16.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 4	5.80%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 5	3.60%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 6	1.70%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 7	1.60%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 8	0.30%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 9	0.10%
Average annual percentage payout of incurred claims by age, net of reinsurance, Year 10	0.00%

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Reserves For Losses And Loss Expenses (Schedule of Liability for Unpaid Claims and Claims Adjustment Expense) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]
Net reserves at beginning of year	$ 12,848,362	$ 11,620,393	$ 10,697,998
Net provision for losses and loss expenses:
Claims occuring during the current year	5,774,713	4,921,191	4,432,937
Increase in estimates for claims occurring in prior years (3)	54,511	863	627
Loss reserve discount accretion	32,526	31,906	35,142
Total	5,861,750	4,953,960	4,468,706
Net payments for claims:
Current year	1,068,577	887,896	921,054
Prior year	3,279,333	2,777,798	2,677,595
Total	4,347,910	3,665,694	3,598,649
Foreign currency translation	(113,323)	(60,297)	46,411
Net reserves at end of year	14,248,879	12,848,362	11,620,393
Ceded reserve at end of year	2,762,344	2,542,526	2,164,037
Gross reserves at end of year	17,011,223	15,390,888	13,784,430
Increase in estimates for claims occurring in prior years (3)	(54,511)	(863)	(627)
Retrospective premium adjustments for claims occurring in prior years (4)	18,106	7,510	16,807
Net premium and reserve development on prior years	(36,405)	6,647	16,180
Workers' compensation discount, amount	35,000	21,000	10,000
Increase (decrease) in estimates for claims occurring in prior years, undiscounted basis	16,000	(19,000)	(21,000)
Cumulative Effect, Period Of Adoption, Adjustment
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]
Net reserves at beginning of year	0	0	5,927
Net payments for claims:
Net reserves at end of year		0	0
Cumulative Effect, Period Of Adoption, Adjusted Balance
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]
Net reserves at beginning of year	$ 12,848,362	11,620,393	10,703,925
Net payments for claims:
Net reserves at end of year		$ 12,848,362	$ 11,620,393

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Reserves For Losses And Loss Expenses (Narrative) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Reserves For Losses And Loss Expenses [Line Items]
Liability recognized for best estimate net of reinsurance	$ 341,000
Liability recognized for best estimate net of reinsurance, incurred but not reported (IBNR)	4,000
Favorable reserve development net of premium offsets	(36,405)	$ 6,647	$ 16,180
Reserve for losses and loss adjustment expenses relating to asbestos and environmental claims, net	20,000
Workers' compensation discount, amount	35,000	21,000	10,000
Workers' Compensation Discount, Prior Year Amount		1,387,000
Workers' compensation discount after effects of ceded reinsurance, amount	416,000	452,000
Liability recognized for best estimate net of reinsurance, reported losses	337,000
Liability recognized for best estimate net of reinsurance, current accident year losses	$ 5,000
Minimum
Reserves For Losses And Loss Expenses [Line Items]
Workers' compensation discount, percent	0.70%
Maximum
Reserves For Losses And Loss Expenses [Line Items]
Workers' compensation discount, percent	6.50%
Weighted Average
Reserves For Losses And Loss Expenses [Line Items]
Workers' compensation discount, percent	3.40%
Discounted [Member]
Reserves For Losses And Loss Expenses [Line Items]
Workers' compensation discount, percent	3.00%
Insurance
Reserves For Losses And Loss Expenses [Line Items]
Liability recognized for best estimate net of reinsurance	$ 290,000
Favorable reserve development net of premium offsets		20,000	24,000
Unfavorable reserve development net of premium offsets	(40,000)
Liability recognized for best estimate net of reinsurance, current accident year losses	3,000
Reinsurance & Monoline Excess
Reserves For Losses And Loss Expenses [Line Items]
Liability recognized for best estimate net of reinsurance	51,000
Favorable reserve development net of premium offsets	4,000
Unfavorable reserve development net of premium offsets		$ 13,000	$ 8,000
Liability recognized for best estimate net of reinsurance, current accident year losses	2,000
Short-tail lines
Reserves For Losses And Loss Expenses [Line Items]
Workers' compensation discount, amount	$ 1,267,000
Excess workers' compensation
Reserves For Losses And Loss Expenses [Line Items]
Workers' compensation discount, percent	97.00%

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Reinsurance (Reinsurance Financial Information) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Reinsurance Disclosures [Abstract]
Written premiums, Direct	$ 10,695,138	$ 9,531,050	$ 7,874,050
Written premiums, Assumed	1,213,914	1,169,084	973,597
Written premiums, Ceded	(1,904,982)	(1,837,267)	(1,585,210)
Total net premiums written	10,004,070	8,862,867	7,262,437
Earned premiums, Direct	10,217,891	8,825,568	7,489,470
Earned premiums, Assumed	1,226,801	1,085,804	941,321
Earned premiums, Ceded	(1,883,263)	(1,805,341)	(1,499,948)
Net premiums earned	9,561,429	8,106,031	6,930,843
Ceded losses and loss expenses incurred	1,269,338	1,236,960	955,630
Ceded commission earned	477,437	449,739	358,253
Uncollectible reinsurance	$ 8,064	$ 7,713	$ 7,801

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Reinsurance (Schedule of Premium Receivable Allowance for Credit Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Premium Receivable, Allowance for Credit Loss [Roll Forward]
Allowance for expected credit losses, beginning of period	$ 25,218	$ 22,883
Change in allowance for expected credit losses	5,442	2,335
Allowance for expected credit losses, end of period	$ 30,660	$ 25,218

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Reinsurance (Schedule of Reinsurance Recoverable Allowance for Credit Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Reinsurance Recoverable, Allowance for Credit Loss [Roll Forward]
Allowance for expected credit losses, beginning of period	$ 7,713	$ 7,801
Change in allowance for expected credit losses	351	(88)
Allowance for expected credit losses, end of period	$ 8,064	$ 7,713

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Reinsurance (Schedule Of Ceded Credit Risk by Reinsurer) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Ceded Credit Risk [Line Items]
Uncollectible reinsurance	$ (8,064)	$ (7,713)	$ (7,801)
Ceded reserve at end of year	3,187,730
Credit Risk Reinsurers, Subtotal, Excluding Residual Market Pools [Member]
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	3,015,037
Lloyds of London
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	347,927
Berkshire Hathaway
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	332,034
Munich Re
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	306,530
Partner Re
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	275,410
Hannover Re Group
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	191,264
Swiss Re
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	189,591
Lifson Re
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	180,724
Renaissance Re
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	163,973
Everest Re
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	155,847
Liberty Mutual
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	96,402
Axis Capital
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	81,538
Korean Re
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	59,884
Fairfax Financial
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	55,228
Axa Insurance
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	46,058
Arch Capital Group
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	45,663
Sompo Holdings Group
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	36,157
Helvetia Holdings Group
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	30,823
Markel Corp Group
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	30,216
Validus Holdings Group
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	24,548
TOA Re
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	22,945
Other Reinsurers Less than $20,000
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	342,275
Residual Market Pools
Ceded Credit Risk [Line Items]
Ceded reserve at end of year	$ 180,757

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Indebtedness (Details) - USD ($)	Dec. 31, 2022	Apr. 01, 2022	Mar. 31, 2022	Jan. 31, 2022	Dec. 31, 2021
Debt Instrument [Line Items]
Unsecured borrowings, limit increase		$ 500,000,000
Standby Letters of Credit
Debt Instrument [Line Items]
Unsecured borrowings		50,000,000
Subsidiary Debt
Debt Instrument [Line Items]
Face Value	$ 6,478,000
Carrying Value	6,478,000				$ 10,564,000
Repayments in 2020	2,000,000
Repayments thereafter	5,000,000
Total senior notes and other debt
Debt Instrument [Line Items]
Face Value	1,826,478,000
Carrying Value	$ 1,828,823,000				2,259,416,000
Senior Notes | Senior Notes due January 1, 2022
Debt Instrument [Line Items]
Interest Rate	8.70%			8.70%
Face Value	$ 0			$ 77,000,000
Carrying Value	$ 0				76,503,000
Senior Notes | Senior Notes due March 15, 2022
Debt Instrument [Line Items]
Interest Rate	4.625%		4.625%
Face Value	$ 0		$ 350,000,000
Carrying Value	$ 0				349,923,000
Senior Notes | Senior Notes due February 15, 2037
Debt Instrument [Line Items]
Interest Rate	6.25%
Face Value	$ 250,000,000
Carrying Value	$ 248,446,000				248,336,000
Senior Notes | Senior Notes due August 1, 2044
Debt Instrument [Line Items]
Interest Rate	4.75%
Face Value	$ 350,000,000
Carrying Value	$ 346,020,000				345,836,000
Senior Notes | Senior Notes Due May 12 2050
Debt Instrument [Line Items]
Interest Rate	4.00%
Face Value	$ 470,000,000
Carrying Value	$ 490,721,000				491,478,000
Senior Notes | Senior Notes Due September 30, 2061
Debt Instrument [Line Items]
Interest Rate	3.15%
Face Value	$ 350,000,000
Carrying Value	$ 342,945,000				342,761,000
Senior Notes | Senior Notes Due March 30, 2052
Debt Instrument [Line Items]
Interest Rate	3.55%
Face Value	$ 400,000,000
Carrying Value	394,213,000				394,015,000
Total subordinated debentures
Debt Instrument [Line Items]
Face Value	1,035,000,000
Carrying Value	$ 1,008,371,000				1,007,652,000
Total subordinated debentures | Subordinated Debt due March 30, 2058
Debt Instrument [Line Items]
Interest Rate	5.70%
Face Value	$ 185,000,000
Carrying Value	$ 179,328,000				179,166,000
Total subordinated debentures | Subordinated Debt due December 30, 2059
Debt Instrument [Line Items]
Interest Rate	5.10%
Face Value	$ 300,000,000
Carrying Value	$ 291,179,000				290,941,000
Total subordinated debentures | Subordinated Debt Due September 30 2060
Debt Instrument [Line Items]
Interest Rate	4.25%
Face Value	$ 250,000,000
Carrying Value	$ 244,523,000				244,378,000
Total subordinated debentures | Subordinated Debt Due March 30, 2061
Debt Instrument [Line Items]
Interest Rate	4.125%
Face Value	$ 300,000,000
Carrying Value	$ 293,341,000				$ 293,167,000
Line of Credit | Revolving Credit Facility
Debt Instrument [Line Items]
Unsecured borrowings		$ 300,000,000

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Income Taxes (Schedule of Components of Income Tax Expense (Benefit)) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Income Tax Disclosure [Abstract]
Current Expense, Domestic	$ 295,849	$ 239,090	$ 162,305
Deferred Expense (Benefit), Domestic	(27,544)	2,752	17
Domestic, Total	268,305	241,842	162,322
Current Expense, Foreign	42,890	0	23,375
Deferred Expense (Benefit), Foreign	23,532	10,048	(13,880)
Foreign, Total	66,422	10,048	9,495
Current Expense, Total	338,739	239,090	185,680
Deferred Expense (Benefit), Total	(4,012)	12,800	(13,863)
Total expense	334,727	251,890	171,817
Income (Loss) from Continuing Operations before Income Taxes, Domestic	1,240,000	1,224,000	831,000
Income (Loss) from Continuing Operations before Income Taxes, Foreign	$ 480,000	$ 59,000	$ (126,000)

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Income Taxes (Schedule of Effective Income Tax Rate Reconciliation) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Income Tax Expense (Benefit), Continuing Operations, Income Tax Reconciliation [Abstract]
Computed “expected” tax expense	$ 361,133	$ 269,410	$ 148,008
Tax-exempt investment income	(10,815)	(11,380)	(12,770)
Change in valuation allowance	(28,064)	2,974	46,238
Impact of foreign tax rates	(453)	(2,368)	6,753
State and local taxes	8,976	4,230	2,561
Other, net	3,950	(10,976)	(18,973)
Total expense	$ 334,727	$ 251,890	$ 171,817

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Income Taxes (Schedule of Deferred Tax Assets and Liabilities) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
Deferred tax asset:
Loss reserve discounting	$ 192,181	$ 162,636
Unearned premiums	180,326	163,143
Unrealized investment losses	228,456	0
Net operating losses & foreign tax credits	58,182	88,502
Other-than-temporary impairments	5,935	5,176
Employee compensation plans	63,313	61,301
Other	72,536	54,269
Gross deferred tax asset	800,929	535,027
Less valuation allowance	(47,166)	(75,230)
Deferred tax asset	753,763	459,797
Deferred tax liability:
Amortization of intangibles	13,973	12,787
Loss reserve discounting - transition rule	14,843	19,796
Deferred policy acquisition costs	157,055	137,893
Unrealized investment gains	0	36,850
Property, furniture and equipment	45,887	43,186
Investment funds	125,525	101,999
Other	67,479	67,331
Deferred tax liability	424,762	419,842
Net deferred tax asset	329,001	39,955
Operating Loss Carryforwards [Line Items]
Income taxes receivable	5,000
Current federal income taxes		3,000
Valuation allowance	47,000	$ 75,000
Foreign Tax Authority
Operating Loss Carryforwards [Line Items]
Operating loss carryforwards, subject to expire	4,000
Operating loss carryforwards, not subject to expire	$ 225,000

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Income Taxes (Narrative) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
Income Tax Disclosure [Abstract]
Loss reserve discounting	$ 192,181	$ 162,636
undistributed earnings of non-U.S. subsidiaries	$ 169,000

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Dividends From Subsidiaries And Statutory Financial Information (Schedule of Combined Net Income and Policyholders' Surplus in Accordance with Statutory Accounting Practices) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Insurance [Abstract]
Amount available for dividend distribution without prior approval from regulatory authorities	$ 1,200,000
Net income	1,358,813	$ 1,040,342	$ 771,990
Policyholders' surplus	8,330,587	$ 6,817,535	$ 6,188,121
Increase in BIC's statutory capital and surplus	$ 171,000
Total Adjusted Capital percentage threshold	200.00%
BIC's Total Adjusted Capital balance	$ 8,200,000
BIC's Total Adjusted Capital balance as percentage of RBC Authorized Control Level	408.00%

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Common Stockholders' Equity (Weighted Average Number of Common Shares Used In the Computation of Basic and Diluted Earnings per Share) (Details) - shares	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Equity [Abstract]
Basic	276,852	277,430	280,386
Diluted	279,461	279,749	283,145
Weighted average shares held in grantor trust	11,416,856

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Common Stockholders' Equity (Schedule of Changes in Shares of Common Stock Outstanding) (Details) - shares	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Common Stock Shares Outstanding [Roll Forward]
Balance, beginning of year	265,170,882	266,737,725	275,117,861
Shares issued	745,612	1,062,086	1,164,816
Shares repurchased	(1,370,394)	(2,628,929)	(9,544,952)
Balance, end of year	264,546,100	265,170,882	266,737,725

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Fair Value of Financial Instruments (Carrying Amounts and Estimated Fair Values of Financial Instruments) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
Assets:
Equity securities	$ 1,185,894	$ 941,243
Arbitrage trading account	944,000	1,180,000
Loans receivable	187,981	116,534
Liabilities:
Due to broker	0	53,636
Due to broker	0	53,636
Carrying Value
Assets:
Fixed maturity securities	17,587,349	16,602,673
Equity securities	1,185,894	941,243
Arbitrage trading account	944,230	1,179,606
Loans receivable	193,002	115,172
Cash and cash equivalents	1,449,346	1,568,843
Trading accounts receivable from brokers and clearing organizations	233,863	0
Due from broker	3,609	20,448
Liabilities:
Trading account securities sold but not yet purchased	0	1,169
Carrying Value | Total senior notes and other debt
Liabilities:
Long-term debt fair value	1,828,823	2,259,416
Carrying Value | Total subordinated debentures
Liabilities:
Long-term debt fair value	1,008,371	1,007,652
Fair Value
Assets:
Fixed maturity securities	17,591,626	16,614,118
Equity securities	1,185,894	941,243
Arbitrage trading account	944,230	1,179,606
Loans receivable	187,981	116,534
Cash and cash equivalents	1,449,346	1,568,843
Trading accounts receivable from brokers and clearing organizations	233,863	0
Due from broker	3,609	20,448
Liabilities:
Trading account securities sold but not yet purchased	0	1,169
Fair Value | Total senior notes and other debt
Liabilities:
Long-term debt fair value	1,439,188	2,526,630
Fair Value | Total subordinated debentures
Liabilities:
Long-term debt fair value	$ 805,600	$ 1,095,600

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Commitments, Litigation And Contingent Liabilities (Details) $ in Millions	12 Months Ended
	Dec. 31, 2022 USD ($)
Commitments and Contingencies Disclosure [Abstract]
Commitment to Invest in Certain Investment Funds	$ 402
Commitment to Invest in Real Estate Construction Projects	$ 146

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Leases (Lease Cost) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Leases [Abstract]
Lease cost	$ 43,383	$ 44,051
Cash paid for amounts included in the measurement of lease liabilities reported in operating cash flows	43,871	45,592
Right-of-use assets obtained in exchange for new lease liabilities	$ 28,075	$ 38,929

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Leases (Supplemental Balance Sheet Information) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
Leases [Abstract]
Operating Lease, Right-of-Use Asset, Statement of Financial Position [Extensible Enumeration]	Other assets	Other assets
Right-of-use assets	$ 169,271	$ 172,180
Operating Lease, Liability, Statement of Financial Position [Extensible List]	Other liabilities	Other liabilities
Lease liabilities	$ 204,088	$ 208,729
Weighted-average remaining lease term	7 years 1 month 6 days	7 years 2 months 12 days
Weighted-average discount rate	4.40%	4.83%

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Leases (Maturities of Operating Lease Liabilities) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
Leases [Abstract]
2021	$ 47,024
2022	41,788
2023	32,928
2024	25,973
2025	16,472
Thereafter	68,912
Total undiscounted future minimum lease payments	233,097
Less: Discount impact	29,009
Total lease liability	$ 204,088	$ 208,729

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Stock Incentive Plan (Schedule of Share-based Compensation, Stock Options, Activity) (Details)	12 Months Ended
	Dec. 31, 2022 shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Deferred shares	11,403,456
Restricted Stock Units (RSUs) | Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period	3 years
Restricted Stock Units (RSUs) | Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period	5 years

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Stock Incentive Plan (Schedule of Nonvested Restricted Stock Units Activity) (Details) - Restricted Stock Units (RSUs) - shares	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested [Roll Forward]
RSUs granted and unvested at beginning of period:	5,144,519	5,706,504	6,186,390
Granted	1,024,960	1,272,990	1,443,680
Vested	(1,258,680)	(1,523,960)	(1,667,382)
Canceled	(292,373)	(311,016)	(256,184)
RSUs granted and unvested at end of period:	4,618,426	5,144,519	5,706,504

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Stock Incentive Plan (Schedule of Share-based Compensation, Unearned Compensation Related to RSU's) (Details) - Restricted Stock Units (RSUs) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Changes In Unearned Compensation [Roll Forward]
Unearned compensation at beginning of year	$ 135,535	$ 132,310	$ 128,390
RSUs granted, net of cancellations	60,628	56,711	54,270
RSUs expensed	47,611	(46,441)	(47,108)
RSUs forfeitures	6,492	(7,045)	(3,242)
Unearned compensation at end of year	$ 142,060	$ 135,535	$ 132,310

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Compensation Plans (Details)	12 Months Ended
	Dec. 31, 2022 USD ($) hour shares	Dec. 31, 2021 USD ($)	Dec. 31, 2020 USD ($)
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
LTIP Expense	$ 30,662,000	$ 26,678,000	$ 13,464,000
Deferred Profit Sharing
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
Profit Sharing Plan Minimum Contribution, Percent	5.00%
Number of service hours required (in hours) | hour	250
Profit Sharing Plan, Contributions Vesting Immediately, Percent	40.00%
Profit Sharing Plan, Contributions Vesting Based on Years of Service, Percent	60.00%
Profit sharing expense	$ 62,000,000	50,000,000	48,000,000
2015 grant
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
LTIP Expense	$ 0	0	(168,000)
2016 grant
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
Long-Term Incentive Compensation Plan, Number of Units Oustanding | shares	188,500
Long-Term Incentive Compensation Plan, Maximum Value	$ 18,850,000
Long-Term Incentive Compensation Plan, Earned	18,850,000
LTIP Expense	$ 0	(117,000)	3,176,000
2017 grant
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
Long-Term Incentive Compensation Plan, Number of Units Oustanding | shares	205,000
Long-Term Incentive Compensation Plan, Maximum Value	$ 20,500,000
Long-Term Incentive Compensation Plan, Earned	17,164,589
LTIP Expense	$ 0	6,012,000	2,914,000
2018 grant
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
Long-Term Incentive Compensation Plan, Number of Units Oustanding | shares	216,000,000
Long-Term Incentive Compensation Plan, Maximum Value	$ 21,600,000
Long-Term Incentive Compensation Plan, Earned	13,943,707
LTIP Expense	$ 4,299,000	5,503,000	2,776,000
2019 grant
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
Long-Term Incentive Compensation Plan, Number of Units Oustanding | shares	221,750,000
Long-Term Incentive Compensation Plan, Maximum Value	$ 22,175,000
Long-Term Incentive Compensation Plan, Earned	11,426,223
LTIP Expense	$ 6,904,000	5,309,000	2,490,000
2022 grant
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
Long-Term Incentive Compensation Plan, Number of Units Oustanding | shares	241,000,000
Long-Term Incentive Compensation Plan, Maximum Value	$ 24,100,000
Long-Term Incentive Compensation Plan, Earned	6,232,260
LTIP Expense	6,653,000	5,065,000	2,276,000
2021 grant
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
LTIP Expense	6,574,000	4,906,000	0
Long-Term Incentive Compensation Plan, 2022
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
LTIP Expense	$ 6,232,000	$ 0	$ 0

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Supplemental Financial Statement Data (Schedule of Other Operating Cost and Expense, by Component) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Other Income and Expenses [Abstract]
Amortization of deferred policy acquisition costs	$ 1,038,903	$ 961,628	$ 904,955
Insurance operating expenses	1,635,000	1,345,099	1,206,058
Insurance service expenses	96,419	86,003	85,724
Net foreign currency (gains) losses	(50,930)	(25,725)	363
Debt extinguishment costs	0	11,521	8,440
Other costs and expenses	242,113	220,744	184,852
Total	$ 2,961,505	$ 2,599,270	$ 2,390,392

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Industry Segments (Financial Information of Company Operating Segments) (Details) $ in Thousands	12 Months Ended
	Dec. 31, 2022 USD ($) segment	Dec. 31, 2021 USD ($)	Dec. 31, 2020 USD ($)
Segment Reporting Information [Line Items]
Number of reportable segments | segment	2
Earned Premiums	$ 9,561,429	$ 8,106,031	$ 6,930,843
Investment Income	779,185	671,618	583,821
Net investment gains	202,397	90,632	103,000
Other Revenues	825,885	677,817	584,261
Total revenues	11,166,499	9,455,466	8,098,925
Pre-Tax Income (Loss)	1,719,681	1,282,905	704,802
Net investment gains	159,727	72,922	93,181
Net income to common stockholders	1,381,062	1,022,490	530,670
Insurance
Segment Reporting Information [Line Items]
Earned Premiums	8,369,062	7,077,708	6,067,669
Reinsurance & Monoline Excess
Segment Reporting Information [Line Items]
Earned Premiums	1,192,367	1,028,323	863,174
Operating Segments | Insurance
Segment Reporting Information [Line Items]
Earned Premiums	8,369,062	7,077,708	6,067,669
Investment Income	550,084	468,821	375,554
Other Revenues	33,347	32,063	35,611
Total revenues	8,952,493	7,578,592	6,478,834
Pre-Tax Income (Loss)	1,455,658	1,219,798	668,012
Net income to common stockholders	1,173,425	976,184	487,125
Operating Segments | Reinsurance & Monoline Excess
Segment Reporting Information [Line Items]
Earned Premiums	1,192,367	1,028,323	863,174
Investment Income	194,272	175,324	146,029
Other Revenues	0	0	0
Total revenues	1,386,639	1,203,647	1,009,203
Pre-Tax Income (Loss)	316,527	270,563	205,587
Net income to common stockholders	251,386	215,439	164,655
Corporate, other and eliminations
Segment Reporting Information [Line Items]
Investment Income	34,829	27,473	62,238
Other Revenues	590,141	555,122	445,650
Total revenues	624,970	582,595	507,888
Pre-Tax Income (Loss)	(254,901)	(298,088)	(271,797)
Net income to common stockholders	$ (203,476)	$ (242,055)	$ (214,291)

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Industry Segments (Identifiable Assets by Segment) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Segment Reporting, Asset Reconciling Item [Line Items]
Identifiable Assets	$ 33,861,099	$ 32,086,414
Revenues	11,166,499	9,455,466	$ 8,098,925
Operating Segments | Insurance
Segment Reporting, Asset Reconciling Item [Line Items]
Identifiable Assets	27,009,652	24,414,305
Revenues	8,952,493	7,578,592	6,478,834
Operating Segments | Insurance | Foreign countries
Segment Reporting, Asset Reconciling Item [Line Items]
Revenues	1,029,000	873,000	692,000
Operating Segments | Reinsurance & Monoline Excess
Segment Reporting, Asset Reconciling Item [Line Items]
Identifiable Assets	5,195,752	4,916,894
Revenues	1,386,639	1,203,647	1,009,203
Operating Segments | Reinsurance & Monoline Excess | Foreign countries
Segment Reporting, Asset Reconciling Item [Line Items]
Revenues	412,000	380,000	292,000
Corporate, other and eliminations
Segment Reporting, Asset Reconciling Item [Line Items]
Identifiable Assets	1,655,695	2,755,215
Revenues	$ 624,970	$ 582,595	$ 507,888

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Industry Segments (Net Premiums Earned By Major Line of Business) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Segment Reporting Information [Line Items]
Net premiums earned	$ 9,561,429	$ 8,106,031	$ 6,930,843
Insurance
Segment Reporting Information [Line Items]
Net premiums earned	8,369,062	7,077,708	6,067,669
Insurance | Other liability
Segment Reporting Information [Line Items]
Net premiums earned	3,206,846	2,673,098	2,269,458
Insurance | Short-tail lines
Segment Reporting Information [Line Items]
Net premiums earned	1,630,371	1,389,068	1,247,908
Insurance | Workers' compensation
Segment Reporting Information [Line Items]
Net premiums earned	1,197,811	1,131,283	1,127,487
Insurance | Commercial automobile
Segment Reporting Information [Line Items]
Net premiums earned	1,208,241	990,945	794,171
Insurance | Professional liability
Segment Reporting Information [Line Items]
Net premiums earned	1,125,793	893,314	628,645
Reinsurance & Monoline Excess
Segment Reporting Information [Line Items]
Net premiums earned	1,192,367	1,028,323	863,174
Reinsurance & Monoline Excess | Casualty
Segment Reporting Information [Line Items]
Net premiums earned	764,793	643,193	521,559
Reinsurance & Monoline Excess | Monoline Excess
Segment Reporting Information [Line Items]
Net premiums earned	217,017	201,187	171,522
Reinsurance & Monoline Excess | Property
Segment Reporting Information [Line Items]
Net premiums earned	$ 210,557	$ 183,943	$ 170,093

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Subsequent Event (Details)	Jan. 03, 2023 $ / shares
Subsequent Event
Subsequent Event [Line Items]
Dividends declared (in dollars per share)	$ 0.50

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Schedule II - Condensed Financial Information of Registrant (Balance Sheets (Parent Company)) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Assets:
Cash and cash equivalents	$ 1,449,346	$ 1,568,843
Fixed maturity securities available for sale at fair value (cost $285,900 and $805,211 at December 31, 2022 and 2021, respectively)	17,587,349	16,602,673
Loans receivable (net of allowance for expected credit losses of $559 and $647 at December 31, 2022 and 2021, respectively)	193,002	115,172
Current federal income taxes	39,123	23,570
Deferred federal and foreign income taxes	340,647	57,425
Property, furniture and equipment at cost, less accumulated depreciation	423,232	419,883
Other assets	736,022	753,231
Total assets	33,861,099	32,086,414
Liabilities:
Other liabilities	1,377,740	1,305,245
Current federal income taxes	34,350	21,068
Deferred federal income taxes	11,646	17,470
Subordinated debentures	1,008,371	1,007,652
Total liabilities	27,092,938	25,418,684
Stockholders' equity:
Preferred stock	0	0
Common stock	105,803	105,803
Additional paid-in capital	997,534	981,104
Retained earnings (including accumulated undistributed net income of subsidiaries of $7,975,360 and $6,463,882 at December 31, 2022 and 2021, respectively)	10,161,005	9,015,135
Accumulated other comprehensive loss	(1,264,581)	(281,955)
Treasury stock, at cost	(3,251,429)	(3,167,076)
Total common stockholders’ equity	6,748,332	6,653,011
Total liabilities and equity	33,861,099	32,086,414
Fixed maturity securities available for sale at cost	18,664,073	16,396,936
Financing receivable, allowance for credit loss	1,791	1,718	$ 5,437
Parent Company
Assets:
Cash and cash equivalents	103,522	684,037
Fixed maturity securities available for sale at fair value (cost $285,900 and $805,211 at December 31, 2022 and 2021, respectively)	275,511	806,074
Loans receivable (net of allowance for expected credit losses of $559 and $647 at December 31, 2022 and 2021, respectively)	109,793	93,397
Equity securities, at fair value (cost $3,430 in both 2022 and 2021)	3,430	3,430
Investment in subsidiaries	8,888,455	8,516,916
Current federal income taxes	34,452	23,424
Deferred federal and foreign income taxes	304,191	11,796
Property, furniture and equipment at cost, less accumulated depreciation	11,356	11,916
Other assets	39,741	43,793
Total assets	9,770,451	10,194,783
Liabilities:
Due to subsidiaries	53,029	138,376
Other liabilities	139,150	146,892
Subordinated debentures	1,008,371	1,007,652
Senior notes	1,821,569	2,248,852
Total liabilities	3,022,119	3,541,772
Stockholders' equity:
Preferred stock	0	0
Common stock	105,803	105,803
Additional paid-in capital	997,534	981,104
Retained earnings (including accumulated undistributed net income of subsidiaries of $7,975,360 and $6,463,882 at December 31, 2022 and 2021, respectively)	10,161,005	9,015,135
Accumulated other comprehensive loss	(1,264,581)	(281,955)
Treasury stock, at cost	(3,251,429)	(3,167,076)
Total common stockholders’ equity	6,748,332	6,653,011
Total liabilities and equity	9,770,451	10,194,783
Fixed maturity securities available for sale at cost	285,900	805,211
Financing receivable, allowance for credit loss	559	647
Equity securities available for sale at cost	3,430	3,430
Accumulated undistributed net income of subsidiaries	$ 7,975,360	$ 6,463,882

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Schedule II - Condensed Financial Information of Registrant (Statements of Income (Parent Company)) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Condensed Income Statements, Captions [Line Items]
Net investment gains	$ 202,397	$ 90,632	$ 103,000
Other income	3,396	4,177	2,596
Total revenues	11,166,499	9,455,466	8,098,925
Operating costs and expense	9,446,818	8,172,561	7,394,123
Income before income taxes	1,719,681	1,282,905	704,802
Federal income taxes:
Net federal income tax expense	(334,727)	(251,890)	(171,817)
Net income to common stockholders	1,381,062	1,022,490	530,670
Dividends from subsidiaries	22,807	520,251	617,424
Parent Company
Condensed Income Statements, Captions [Line Items]
Management fees and investment income including dividends from subsidiaries of $22,807, $520,251, and $617,424 for the years ended December 31, 2022, 2021 and 2020, respectively	32,585	548,512	654,485
Net investment gains	1,007	1,474	3,580
Other income	1,916	1,138	568
Total revenues	35,508	551,124	658,633
Operating costs and expense	192,175	214,995	166,892
Interest expense	129,633	144,837	145,417
Income before income taxes	(286,300)	191,292	346,324
Federal income taxes:
Federal income taxes provided by subsidiaries on a separate return basis	414,660	294,731	188,490
Federal income tax expense on a consolidated return basis	(258,776)	(226,900)	(139,679)
Net federal income tax expense	155,884	67,831	48,811
(Loss) income before undistributed equity in net income of subsidiaries	(130,416)	259,123	395,135
Equity in undistributed net income of subsidiaries	1,511,478	763,367	135,535
Net income to common stockholders	$ 1,381,062	$ 1,022,490	$ 530,670

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Schedule II - Condensed Financial Information of Registrant (Statements of Cash Flows (Parent Company)) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Cash flows from operating activities:
Net income	$ 1,381,062	$ 1,022,490	$ 530,670
Adjustments to reconcile net income to net cash from operating activities:
Depreciation and amortization	55,872	129,682	135,065
Stock incentive plans	49,411	46,680	49,658
Change in:
Other liabilities	19,878	89,467	43,039
Net cash from operating activities	2,568,604	2,183,987	1,616,686
Cash from (used in) investing activities:
Proceeds from sale of fixed maturity securities	797,948	1,842,139	3,832,555
Proceeds from maturities and prepayments of fixed maturity securities	4,891,179	6,067,230	3,864,327
Cost of purchases of fixed maturity securities	(8,036,680)	(10,716,748)	(7,551,591)
Change in loans receivable	(83,212)	(27,421)	1,467
Change in balances due from security brokers	14,337	(17,983)	(26,515)
Net cash (used in) from investing activities	(1,891,355)	(2,989,146)	119,696
Cash (used in) from financing activities:
Purchase of common treasury shares	(94,140)	(122,426)	(346,357)
Cash dividends to common stockholders	(235,192)	(355,736)	(84,147)
Other, net	(12,848)	(45,162)	(56,225)
Net cash (used in) from financing activities	(771,992)	5,831	(397,843)
Net (decrease) increase in cash and cash equivalents	(119,497)	(803,523)	1,348,656
Cash and cash equivalents at beginning of year	1,568,843	2,372,366	1,023,710
Cash and cash equivalents at end of year	1,449,346	1,568,843	2,372,366
Parent Company
Cash flows from operating activities:
Net income	1,381,062	1,022,490	530,670
Adjustments to reconcile net income to net cash from operating activities:
Net investment gains	(1,007)	(1,474)	(3,580)
Depreciation and amortization	4,281	18,761	15,133
Equity in undistributed earnings of subsidiaries	(1,511,478)	(763,367)	(135,535)
Tax payments received from subsidiaries	321,682	328,851	165,495
Federal income taxes provided by subsidiaries on a separate return basis	(414,660)	(294,731)	(188,489)
Stock incentive plans	49,411	48,440	49,599
Change in:
Federal income taxes	(40,746)	(22,017)	32,069
Other assets	3,163	(33,319)	1,220
Other liabilities	87,100	(11,758)	3,964
Accrued investment income	890	755	836
Net cash from operating activities	(120,302)	292,631	471,382
Cash from (used in) investing activities:
Proceeds from sale of fixed maturity securities	543,549	402,046	414,802
Proceeds from maturities and prepayments of fixed maturity securities	83,134	654,134	258,413
Cost of purchases of fixed maturity securities	(109,289)	(1,071,823)	(747,713)
Change in loans receivable	(16,249)	(18,227)	(20,023)
Investments in and advances to subsidiaries, net	(171,062)	(1,411)	(100,704)
Change in balances due from security brokers	(10,289)	10,487	(245)
Net additions to real estate, furniture & equipment	(432)	(1,496)	(81)
Other, net	368	95	103
Net cash (used in) from investing activities	319,730	(26,195)	(195,448)
Cash (used in) from financing activities:
Net proceeds from issuance of senior notes	(914)	1,029,579	736,609
Repayment and redemption of debt	(426,503)	(400,000)	(650,000)
Purchase of common treasury shares	(94,140)	(122,426)	(346,357)
Cash dividends to common stockholders	(235,192)	(355,736)	(84,147)
Other, net	(23,194)	(30,776)	(24,880)
Net cash (used in) from financing activities	(779,943)	120,641	(368,775)
Net (decrease) increase in cash and cash equivalents	(580,515)	387,077	(92,841)
Cash and cash equivalents at beginning of year	684,037	296,960	389,801
Cash and cash equivalents at end of year	$ 103,522	$ 684,037	$ 296,960

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Schedule III - Supplementary Insurance Information (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Line Items]
Deferred Policy Acquisition Cost	$ 763,486	$ 676,145	$ 556,168
Reserve for Losses and Loss Expenses	17,011,223	15,390,888	13,784,430
Unearned Premiums	5,297,654	4,847,160	4,073,191
Net Premiums Earned	9,561,429	8,106,031	6,930,843
Net Investment Income	779,185	671,618	583,821
Loss and Loss Expenses	5,861,750	4,953,960	4,468,706
Amortization of Deferred Policy Acquisition Cost	1,038,903	961,628	904,955
Other Operating Costs and Expenses	1,922,602	1,637,642	1,485,437
Net Premiums Written	10,004,070	8,862,867	7,262,437
Operating Segments | Insurance
SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Line Items]
Deferred Policy Acquisition Cost	651,257	566,718	467,871
Reserve for Losses and Loss Expenses	13,786,112	12,379,395	10,977,674
Unearned Premiums	4,779,214	4,348,171	3,660,758
Net Premiums Earned	8,369,062	7,077,708	6,067,669
Net Investment Income	550,084	468,821	375,554
Loss and Loss Expenses	5,130,909	4,326,403	3,939,759
Amortization of Deferred Policy Acquisition Cost	935,469	830,199	734,062
Other Operating Costs and Expenses	1,430,456	1,202,192	1,137,002
Net Premiums Written	8,784,146	7,743,814	6,347,101
Operating Segments | Reinsurance & Monoline Excess
SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Line Items]
Deferred Policy Acquisition Cost	112,229	109,427	88,297
Reserve for Losses and Loss Expenses	3,225,111	3,011,493	2,806,756
Unearned Premiums	518,440	498,989	412,433
Net Premiums Earned	1,192,367	1,028,323	863,174
Net Investment Income	194,272	175,324	146,029
Loss and Loss Expenses	730,841	627,557	528,947
Amortization of Deferred Policy Acquisition Cost	103,434	131,429	170,893
Other Operating Costs and Expenses	235,836	174,098	103,775
Net Premiums Written	1,219,924	1,119,053	915,336
Corporate, other and eliminations
SEC Schedule, 12-16, Insurance Companies, Supplementary Insurance Information [Line Items]
Deferred Policy Acquisition Cost	0	0	0
Reserve for Losses and Loss Expenses	0	0	0
Unearned Premiums	0	0	0
Net Premiums Earned	0	0	0
Net Investment Income	34,829	27,473	62,238
Loss and Loss Expenses	0	0	0
Amortization of Deferred Policy Acquisition Cost	0	0	0
Other Operating Costs and Expenses	256,310	261,352	244,660
Net Premiums Written	$ 0	$ 0	$ 0

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Schedule IV - Reinsurance (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]
Direct Amount	$ 10,695,138	$ 9,531,050	$ 7,874,050
Ceded to Other Companies	1,904,982	1,837,267	1,585,210
Assumed from Other Companies	1,213,914	1,169,084	973,597
Total net premiums written	$ 10,004,070	$ 8,862,867	$ 7,262,437
Percentage of Amount Assumed to Net	12.10%	13.20%	13.40%
Insurance
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]
Direct Amount	$ 10,363,730	$ 9,220,683	$ 7,625,981
Ceded to Other Companies	1,799,639	1,727,854	1,490,395
Assumed from Other Companies	220,055	250,985	211,515
Total net premiums written	$ 8,784,146	$ 7,743,814	$ 6,347,101
Percentage of Amount Assumed to Net	2.50%	3.20%	3.30%
Reinsurance & Monoline Excess
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Line Items]
Direct Amount	$ 331,408	$ 310,367	$ 248,069
Ceded to Other Companies	105,343	109,413	94,815
Assumed from Other Companies	993,859	918,099	762,082
Total net premiums written	$ 1,219,924	$ 1,119,053	$ 915,336
Percentage of Amount Assumed to Net	81.50%	82.00%	83.30%

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Schedule V - Valuation and Qualifying Accounts (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Premiums, fees and other receivables
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance	$ 30,860	$ 27,855	$ 26,546
Additions - Charged to Expense	13,734	10,807	6,783
Deductions - Amounts Written Off	(7,663)	(7,802)	(6,744)
Ending Balance	36,931	30,860	27,855
Premiums, fees and other receivables | Cumulative Effect, Period Of Adoption, Adjustment
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance			1,270
Due from reinsurers
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance	7,713	7,801	690
Additions - Charged to Expense	352	334	1,187
Deductions - Amounts Written Off	(1)	(422)	(3)
Ending Balance	8,064	7,713	7,801
Due from reinsurers | Cumulative Effect, Period Of Adoption, Adjustment
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance			5,927
Deferred federal and foreign income taxes
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance	75,230	79,488	33,250
Additions - Charged to Expense	1,046	6,011	46,756
Deductions - Amounts Written Off	(29,110)	(10,269)	(518)
Ending Balance	47,166	75,230	79,488
Deferred federal and foreign income taxes | Cumulative Effect, Period Of Adoption, Adjustment
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance			0
Loan loss reserves
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance	1,718	5,437	2,146
Additions - Charged to Expense	73	0	3,648
Deductions - Amounts Written Off	0	(3,719)	0
Ending Balance	1,791	1,718	5,437
Loan loss reserves | Cumulative Effect, Period Of Adoption, Adjustment
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance			(357)
Fixed maturity securities
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance	22,625	2,580	0
Additions - Charged to Expense	15,152	21,013	16,909
Deductions - Amounts Written Off	(311)	(968)	(50,043)
Ending Balance	37,466	22,625	2,580
Fixed maturity securities | Cumulative Effect, Period Of Adoption, Adjustment
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance			35,714
General Valuation Allowance
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance	138,146	123,161	62,632
Additions - Charged to Expense	30,357	38,165	75,283
Deductions - Amounts Written Off	(37,085)	(23,180)	(57,308)
Ending Balance	$ 131,418	$ 138,146	123,161
General Valuation Allowance | Cumulative Effect, Period Of Adoption, Adjustment
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Opening Balance			$ 42,554

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Schedule VI - Supplementary Information Concerning Property-Casualty Insurance Operations (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
SEC Schedule, 12-18, Supplemental Information, Property-Casualty Insurance Underwriters [Abstract]
Deferred policy acquisition costs	$ 763,486	$ 676,145	$ 556,168
Reserves for losses and loss expenses	17,011,223	15,390,888	13,784,430
Unearned premiums	5,297,654	4,847,160	4,073,191
Net premiums earned	9,561,429	8,106,031	6,930,843
Net investment income	779,185	671,618	583,821
Losses and loss expenses incurred:
Current year	5,774,713	4,921,191	4,432,937
Prior years	54,511	863	627
Loss reserve discount accretion	32,526	31,906	35,142
Amortization of deferred policy acquisition costs		961,628	904,955
Paid losses and loss expenses	4,347,910	3,665,694	3,598,649
Net premiums written	$ 10,004,070	$ 8,862,867	$ 7,262,437