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美國

證券交易委員會

華盛頓特區20549

 

表格 10-Q

☒			根據1934年證券交易法第13或15(d)條款的季度報告。

截至季度結束

2024年9月30日

或者
☐			根據1934年證券交易法第13或15(d)條款的過渡報告

委員會文件號碼： 001-16209

 

arch capital group ltd.-depositary shares each representing 1/1,000th interest in a share of5.45% non-cumulative preferred sha

（依憑章程所載的完整登記名稱）

百慕達

98-0374481

(成立地或組織其他管轄區)

（聯邦稅號）

滑鐵盧大廈，底樓

100 Pitts Bay Road,

彭布羅克

Hm 08,

百慕達

(441)

278-9250

(總部辦公地址)

(註冊人電話號碼，包括區號)

根據交易所法案第12(b)條規定註冊的證券：

每種類別的名稱

交易標的（S）

每個註冊交易所的名稱

普通股，每股面值$0.0011

ACGL

納斯達克

股票市場

存款股份，每份代表5.45% F系列優先股的1/1000持份

ACGLO

納斯達克

股市

存托股份，每份代表4.55% G系列優先股的1/1000份利益

ACGLN

納斯達克

股市

請勾選表示：（1）申報人在過去12個月內（或申報人在此期間需要提交此類報告的較短時間內，已提交了證券交易所法案第13條或第15(d)條規定的所有報告；並 （2）該申報人在過去90天內一直受到申報要求的約束。 是 ✔ 沒有 ☐

在前12個月內（或公司需要提交這些文件的較短時間內），公司是否已通過選中標記表明已閱讀並提交了應根據S-t法規第405條規定（本章第232.405條）提交的所有互動式數據文件？ 是 ☑     沒有 ☐

請勾選指示登記者是否為大型快速提交人、快速提交人、非快速提交人、較小的報告公司或新興成長型公司。請參閱交易所法規120億2條，了解「大型快速提交人」、「快速提交人」、「較小的報告公司」和「新興成長型公司」的定義。

大型加速報告人 ☑ 加速報告公司 ☐ 非加速檔案人 ☐ 較小的報告公司 ☐ 新興成長型公司 ☐

如果是新興成長公司，請勾選核准欄，表示已選擇不使用擴展過渡期來遵守依據《交易所法》第13(a)條所提供的任何新的或修訂的財務會計標準。 ☐

請用勾選標記表示公司是否為外殼公司（交易所法規第120億2條定義）。 是 ☐ 否 ☑

截至2024年11月1日， 376,241,879 普通股，每股面值$0.0011，屬於發行人的在外流通股份。

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目錄

arch capital group ltd.-depositary shares each representing 1/1,000th interest in a share of5.45% non-cumulative preferred sha

 

提交第10-Q表格的指數

 

									頁碼。
			第一部分—財務資訊						2
項目 1。			合併財務報表附註						4
项目2。			管理層對財務狀況和業績的討論與分析						39
项目3。			市場風險的定量和定性披露。						63
項目 4。			內部控制及程序						63
			第二部分—其他信息						64
項目 1。			法律訴訟						64
项目1A。			風險因素						64
项目2。			股票權益的未註冊銷售和資金用途						65
项目3。			優先證券違約						65
項目 4。			礦業安全披露						65
项目5。			其他信息						65
第6項。			展品						66
			簽名						67

艾奇資本			1			2024年第三季度10-Q表格

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目錄

第一部分. 財務資訊

關於前瞻性陳述的注意事項 

1995年《私人證券訴訟重組法案》（PSLRA）為前瞻性陳述提供了“安全港”。本報告或我們代表作出的任何書面或口頭陳述均可能包含前瞻性陳述，反映我們對未來事件和財務表現的當前看法。本報告中包含或參考的除歷史事實陳述外的所有陳述均為前瞻性陳述。就PSLRA或其他情況而言，前瞻性陳述通常可通過使用“可能”、“將”、“預期”、“打算”、“估計”、“期待”、“相信”、“繼續”等前瞻性術語來識別，或類似未來或前瞻性性質的陳述，或其否定或變體或類似術語。

展望性陳述涉及我們對風險和不確定性的當前評估，實際事件和結果可能與這些陳述中表述或暗示的內容有實質不同。可能導致實際事件或結果與此類陳述中所指示的實質不同的重要因素在本報告中和本報告之外以及我們向證券交易委員會（“SEC”）提交的定期報告中討論。

•我們成功實施業務策略的能力，無論是在「緊縮」還是「寬鬆」市場循環中。

•評級機構和監管機構，以及經紀人、我們的投保人和再保險人接受我們的業務策略、安防和財務狀況；

•我們能力確認併購並將我們已經或將來可能收購的業務整合到我們現有的業務中；

•我們維持或提升我們的評級的能力可能會受到影響，這可能會取決於我們籌集額外的股本或債務融資的能力，以及評級機構現有或新的政策和做法，以及本文所述的其他因素；

•一般經濟和市場環境（包括通脹、利率期貨、失業率、房價、外匯匯率、主要信貸條件以及經濟衰退的深度和持續時間），以及我們所在的再保險和保險市場特定條件；

•競爭，包括基於價格、能力（包括替代資本來源）、保障條款或其他因素的競爭；

•各國金融和資本市場的發展，以及我們對這些市場的進入；

•我們成功增強、整合和維護運營程序（包括信息科技）的能力，以有效支持我們現有和新的業務；

•主要人員的流失和補充；

•保證基金和強制捆綁安排的實際和預期評估之間存在重大差異；

•基本報表準確性依賴我們估計和判斷的準確性，包括與營業收入、保險和其他儲備、再保險應收款、投資估值、無形資產、呆帳、所得稅、递延所得稅資產、潛在責任和訴訟相關的估計和判斷，以及採用存入資金的會計方法的任何決定；

•業務由我們簽約的業務出現意外的損失率高於預期，以及與我們的保險、再保險和按揭子公司簽約的業務相關的索賠和／或索賠支出負債的不利發展；

•公司損失准備金的充分性；

•損失的嚴重程度和/或頻率；

•不可預測的自然和人為災害事件頻率或嚴重度增加；

•我們在保險、再保險和抵押業務中對於自然災害或人造災難或嚴重經濟事件的索賠可能導致我們業務業績出現巨額損失和實質波動；

•氣候變化對我們業務的影響;

艾奇資本			2			2024年第三季度10-Q表格

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Table of Contents

•傳染病對我們業務的影響；

•恐怖主義行為、政治動亂、其他敵意行為或其他未預測和不可預測的事件；

•我們對再保險的可用性以管理我們的總體風險和淨風險，以及再保險的成本。

•再保險人、經理總代理、第三方管理者或其他人未能履行對我們的義務的失敗;

•我們預期損失支付時間比預期更快，或再保收回可能延遲。

•我們的投資表現，包括可能對我們投資的公平價值產生不利影響的立法或監管發展；

•一般經濟條件的變化，包括主權債務問題或美國證券被信用評級機構降級，可能會影響我們的業務、財務狀況和營運結果；

•我們股東權益由外匯波動所引起的波動，由於我們未將預期負債的部分與相同貨幣的投資相匹配，這可能會增加。

•會計原則或政策的變更，或我們在應用這些會計原則或政策方面的變更；

•我們經營或承保業務的某些國家的政治環境變化;

•由於網絡攻擊、人工智能技術或其他技術對我們系統或我們的業務合作夥伴和服務提供商系統造成的事故、業務中斷或其他網絡事件可能對我們的業務產生負面影響和／或使我們面臨訴訟。

•法定或監管方面的發展，包括有關稅務和保險等其他監管事項，例如制定影響總部設在百慕達的公司和/或總部在百慕達的保險公司或再保險公司的立法，以及針對我們、我們的子公司、經紀人或客戶的法規或稅法的變化，包括實施經濟合作暨發展組織（“OECD”）第一柱和第二柱倡議以及百慕達公司所得稅法的制定；和

•其他見於第1A項「風險因素」、第7項「管理對財務狀況和營運結果的討論」及其他部分，以及我們截至2023年12月31日年結束之年度報告Form 10-k中所述的其他因素，以及我們向SEC提交的其他文件中所述的其他因素，以及管理對上述因素的回應。

 

所有後續的書面和口頭前瞻性陳述，無論是歸責於我們還是代表我們行事的人，在其整體上均受到這些警語陳述的明確約束。對重要因素的上述審查不應被解釋為詳盡，應與這裡或其他地方包含的其他警語陳述一起閱讀。公司的前瞻性陳述僅截至本報告之日或製作之日為止，我們不承擔公開更新或修訂任何前瞻性陳述的義務，無論是因新資訊、未來事件或其他原因。

艾奇資本			3			2024年第三季度10-Q表格

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Table of Contents

項目一。合併財務報表

						頁碼。
合併資產負債表
2024年9月30日和2023年12月31日（未經審核）						5
綜合損益表
截至2024年9月30日和2023年三個月及九個月期間（未經審核）						6
綜合損益表
截至2024年9月30日和2023年三個月及九個月期間（未經審核）						7
股東權益變動表
截至2024年9月30日和2023年（未經審核）的三個月和九個月期間						8
綜合現金流量表
截至2024年9月30日和2023年（未經審核）的九個月期間						9
附註合併基本報表（未經審核）
附註1 - 報告基礎和最近的會計準則						10
附註2 - 收購						10
備註 3 - 分享交易						11
備註 4 - 每股盈利						12
備註 5 - 部門信息						13
備註 6 - 損失准備和損失調整費用準備						18
備註 7 - 預期信用損失準備						20
備註 8 - 投資資訊						22
備註 9 - 公允價值						28
備註 10 - 衍生工具						34
附註11 - 承諾與可能存在之事項						35
附註12 － 變量利益實體						35
附註13 － 其他全面收益（損失）						36
附註14 - 所得税						37
附註15 - 法律訴訟						37
附註16 - 與關聯方交易						37
附註17 - Subsequent Events						37

艾奇資本			4			2024年第三季度10-Q表格

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

CONSOLIDATED BALANCE SHEETS

(U.S. dollars and shares in millions)

			(Unaudited)
			September 30, 2024						December 31, 2023
Assets
Investments:
Fixed maturities available for sale, at fair value (amortized cost: $28,466 and $24,131; net of allowance for credit losses: $19 and $28)			$	28,434					$	23,553
Short-term investments available for sale, at fair value (amortized cost: $3,337 and $2,064; net of allowance for credit losses: $0 and $0)			3,341						2,063
Equity securities, at fair value			1,623						1,186
Other investments, at fair value			3,261						2,488
Investments accounted for using the equity method			5,244						4,566
Total investments			41,903						33,856
Cash			1,025						917
Accrued investment income			292						236
Investment in operating affiliates			1,236						1,119
Premiums receivable (net of allowance for credit losses: $52 and $34)			6,364						4,644
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses (net of allowance for credit losses: $17 and $21)			7,948						7,064
Contractholder receivables (net of allowance for credit losses: $4 and $3)			2,078						1,814
Ceded unearned premiums			2,935						2,170
Deferred acquisition costs			1,744						1,531
Receivable for securities sold			790						63
Goodwill and intangible assets			1,486						731
Other assets			5,855						4,761
Total assets			$	73,656					$	58,906
Liabilities
Reserve for losses and loss adjustment expenses			$	28,679					$	22,752
Unearned premiums			11,238						8,808
Reinsurance balances payable			2,586						2,000
Contractholder payables			2,082						1,817
Collateral held for insured obligations			268						259
Senior notes			2,727						2,726
Payable for securities purchased			967						247
Other liabilities			2,835						1,942
Total liabilities			51,382						40,551
Commitments and contingencies (refer to Note 11)
Redeemable noncontrolling interests			—						2
Shareholders' Equity
Non-cumulative preferred shares			830						830
Common shares ($0.0011 par, shares issued: 595.2 and 591.9)			1						1
Additional paid-in capital			2,465						2,327
Retained earnings			23,642						20,295
Accumulated other comprehensive income (loss), net of deferred income tax			(200)						(676)
Common shares held in treasury, at cost (shares: 219.0 and 218.5)			(4,464)						(4,424)
Total shareholders' equity available to Arch			22,274						18,353
Total liabilities, noncontrolling interests and shareholders' equity			$	73,656					$	58,906

See Notes to Consolidated Financial Statements

ARCH CAPITAL			5			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF INCOME

(U.S. dollars and shares in millions, except per share data)

			(Unaudited)												(Unaudited)
			Three Months Ended												Nine Months Ended
			September 30,												September 30,
			2024						2023						2024						2023
Revenues
Net premiums earned			$	3,970					$	3,248					10,957						9,096
Net investment income			399						269						1,090						710
Net realized gains (losses)			169						(248)						358						(354)
Other underwriting income			5						5						20						21
Equity in net income (loss) of investment funds accounted for using the equity method			171						59						437						176
Other income (loss)			8						(4)						30						10
Total revenues			4,722						3,329						12,892						9,659
Expenses
Losses and loss adjustment expenses			2,403						1,647						5,958						4,609
Acquisition expenses			681						575						1,921						1,669
Other operating expenses			353						310						1,062						942
Corporate expenses			49						20						143						71
Amortization of intangible assets			88						24						136						71
Interest expense			35						34						104						99
Net foreign exchange (gains) losses			63						(22)						31						1
Total expenses			3,672						2,588						9,355						7,462
Income (loss) before income taxes and income (loss) from operating affiliates			1,050						741						3,537						2,197
Income tax (expense) benefit			(98)						(72)						(296)						(203)
Income (loss) from operating affiliates			36						54						136						115
Net income (loss) available to Arch			988						723						3,377						2,109
Preferred dividends			(10)						(10)						(30)						(30)
Net income (loss) available to Arch common shareholders			$	978					$	713					$	3,347					$	2,079
Net income per common share and common share equivalent
Basic			$	2.62					$	1.93					$	8.99					$	5.64
Diluted			$	2.56					$	1.88					$	8.78					$	5.50
Weighted average common shares and common share equivalents outstanding
Basic			373.2						369.2						372.3						368.4
Diluted			382.3						379.4						381.3						378.3

See Notes to Consolidated Financial Statements

ARCH CAPITAL			6			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME

(U.S. dollars in millions)

			(Unaudited)												(Unaudited)
			Three Months Ended												Nine Months Ended
			September 30,												September 30,
			2024						2023						2024						2023
Comprehensive Income
Net income (loss)			$	988					$	723					$	3,377					$	2,109
Other comprehensive income (loss), net of deferred income tax
Unrealized appreciation (decline) in value of available-for-sale investments:
Unrealized holding gains (losses) arising during period			645						(190)						478						(118)
Portion of other-than-temporary impairment losses recognized in other comprehensive income			—						—						—						—
Reclassification of net realized (gains) losses, included in net income (loss)			(60)						96						22						344
Foreign currency translation adjustments			25						(40)						(24)						(33)
Comprehensive income (loss) available to Arch			$	1,598					$	589					$	3,853					$	2,302

See Notes to Consolidated Financial Statements

ARCH CAPITAL			7			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS’ EQUITY

(U.S. dollars in millions)

			(Unaudited)												(Unaudited)
			Three Months Ended												Nine Months Ended
			September 30,												September 30,
			2024						2023						2024						2023
Non-cumulative preferred shares
Balance at beginning and end of period			$	830					$	830					$	830					$	830
Common shares
Balance at beginning and end of period			1						1						1						1
Additional paid-in capital
Balance at beginning of period			2,443						2,278						2,327						2,211
Amortization of share-based compensation			16						15						100						73
Other changes			6						4						38						13
Balance at end of period			2,465						2,297						2,465						2,297
Retained earnings
Balance at beginning of period			22,664						17,258						20,295						15,892
Net income (loss)			988						723						3,377						2,109
Preferred share dividends			(10)						(10)						(30)						(30)
Balance at end of period			23,642						17,971						23,642						17,971
Accumulated other comprehensive income (loss), net of deferred income tax
Balance at beginning of period			(810)						(1,319)						(676)						(1,646)
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:
Balance at beginning of period			(650)						(1,192)						(565)						(1,512)
Unrealized holding gains (losses) during period, net of reclassification adjustment			585						(94)						500						226
Balance at end of period			(65)						(1,286)						(65)						(1,286)
Foreign currency translation adjustments, net of deferred income tax:
Balance at beginning of period			(160)						(127)						(111)						(134)
Foreign currency translation adjustments			25						(40)						(24)						(33)
Balance at end of period			(135)						(167)						(135)						(167)
Balance at end of period			(200)						(1,453)						(200)						(1,453)
Common shares held in treasury, at cost
Balance at beginning of period			(4,463)						(4,407)						(4,424)						(4,378)
Shares repurchased for treasury			(1)						—						(40)						(29)
Balance at end of period			(4,464)						(4,407)						(4,464)						(4,407)
Total shareholders’ equity			$	22,274					$	15,239					$	22,274					$	15,239

See Notes to Consolidated Financial Statements

ARCH CAPITAL			8			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF CASH FLOWS

(U.S. dollars in millions)

			(Unaudited)
			Nine Months Ended
			September 30,
			2024						2023
Operating Activities
Net income (loss)			$	3,377					$	2,109
Adjustments to reconcile net income (loss) to net cash provided by operating activities:
Net realized (gains) losses			(361)						367
Equity in net (income) or loss of investment funds accounted for using the equity method and other income or loss			(336)						(104)
Amortization of intangible assets			136						71
Share-based compensation			100						73
Changes in:
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable			2,447						1,604
Unearned premiums, net of ceded unearned premiums			956						1,111
Premiums receivable			(1,504)						(1,333)
Deferred acquisition costs			(166)						(190)
Reinsurance balances payable			589						692
Deferred income tax assets, net			61						40
Other items, net			(199)						(356)
Net cash provided by operating activities			5,100						4,084
Investing Activities
Purchases of fixed maturity investments			(21,559)						(13,024)
Purchases of equity securities			(932)						(176)
Purchases of other investments			(1,898)						(1,112)
Proceeds from sales of fixed maturity investments			16,447						9,655
Proceeds from sales of equity securities			673						216
Proceeds from sales, redemptions and maturities of other investments			1,024						345
Proceeds from redemptions and maturities of fixed maturity investments			1,270						589
Net settlements of derivative instruments			127						(69)
Net (purchases) sales of short-term investments			(818)						(323)
Acquisitions, net of cash			852						—
Purchases of fixed assets			(38)						(37)
Other			(29)						—
Net cash used for investing activities			(4,881)						(3,936)
Financing Activities
Proceeds from common shares issued, net			(2)						5
Change in third party investment in redeemable noncontrolling interests			—						(22)
Other			(3)						(5)
Preferred dividends paid			(30)						(30)
Net cash used for financing activities			(35)						(52)
Effects of exchange rate changes on foreign currency cash and restricted cash			30						(14)
Increase (decrease) in cash and restricted cash			214						82
Cash and restricted cash, beginning of year			1,498						1,273
Cash and restricted cash, end of period			$	1,712					$	1,355
Income taxes paid (received)			221						127
Interest paid			63						63

See Notes to Consolidated Financial Statements

ARCH CAPITAL			9			2024 THIRD QUARTER FORM 10-Q

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Table of Contents

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

1.    Basis of Presentation and Recent Accounting Pronouncements

General

Arch Capital Group Ltd. (“Arch Capital”) is a publicly listed Bermuda exempted company which provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly-owned subsidiaries. As used herein, the “Company” means Arch Capital and its subsidiaries.

Basis of Presentation

The interim consolidated financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America (“GAAP”). All significant intercompany transactions and balances have been eliminated in consolidation. The preparation of financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and disclosure of contingent assets and liabilities at the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. Actual results could differ materially from those estimates and assumptions. In the opinion of management, the accompanying unaudited interim consolidated financial statements reflect all adjustments (consisting of normally recurring accruals) necessary for a fair statement of results on an interim basis. The results of any interim period are not necessarily indicative of the results for a full year or any future periods. Certain information and footnote disclosures normally included in financial statements prepared in accordance with GAAP have been condensed or omitted; however, management believes that the disclosures are adequate to make the information presented not misleading. This report should be read in conjunction with the Company’s Annual Report on Form 10-K for the year ended December 31, 2023 (“2023 Form 10-K”), including the Company’s audited consolidated financial statements and related notes.

The Company has reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on the Company’s net income, comprehensive income, shareholders’ equity or cash flows. All amounts are in millions, except per share amounts, unless otherwise noted.

Recent Accounting Pronouncements

For information regarding additional accounting standards that the Company has not yet adopted, see note 3(t), “Significant Accounting Policies—Recent Accounting Pronouncements,” of the notes to consolidated financial statements in the Company’s 2023 Form 10-K.

2.    Acquisitions

On August 1, 2024, the Company completed the acquisition of Allianz’s U.S Middle Market Property & Casualty Insurance and U.S. Entertainment Property and Casualty Insurance Business. This business is written by Fireman’s Fund Insurance Company, an affiliate of Allianz (“MCE”), and its subsidiaries (together with MCE, collectively, the “Business Entities”), in each case, relating to relevant policies with accident years 2016 and onwards (collectively, the “Business”), as well as certain assets of Allianz and its affiliates related to the Business. In connection with the acquisition of the Business, the Company also entered into certain reinsurance agreements relating to the Business and the Business Entities and other agreements providing for administration and other services for the Business Entities by the Company for the applicable policies being reinsured following the closing. The acquisition of the Business is an important part of the Company’s growth strategy, and provides a ballast to our existing insurance business. It further enhances the Company’s capabilities in the U.S. middle markets and represents an attractive way to enter a new niche entertainment insurance market.

Aggregate cash consideration for the transaction was $450 million. Direct costs related to the acquisition are immaterial, and were expensed as incurred. These include one-time costs that are directly attributable to third party consulting fees and other professional and legal fees related to the acquisition. Such costs are included within ‘corporate expenses’ in the consolidated statement of income. The Business acquired is included within the Company’s insurance segment beginning from the acquisition date, August 1, 2024.

ARCH CAPITAL			10			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table summarizes the Company’s allocation of the purchase price to the acquired assets and liabilities assumed based on estimated fair values on August 1, 2024. The fair value of the assets and liabilities are preliminary and may change with offsetting adjustments to goodwill. The Company may make further adjustments to its purchase price allocation through the end of the permissible one-year measurement period.

						Total						Useful Life
Purchase price
			Cash paid (a)			$	450
Assets Acquired
			Cash and investments, at fair value			$	2,332
			Premiums receivable			290
			Intangible asset -- distribution relationships			220						10 years
			Intangible asset -- value of business acquired			163						1-2 years
			Intangible asset -- other (1)			178						5-7 years
			Other assets acquired			158
			Total assets acquired			$	3,341
Liabilities Acquired
			Reserves for losses and loss adjustment expenses			$	2,404
			Unearned premiums			632
			Other liabilities acquired			121
			Total liabilities acquired			3,157
			Identifiable net assets acquired (b)			$	184
Goodwill (a) - (b)						$	266

(1) Includes $128 million related to the net fair value adjustment to reserves for loss and loss adjustment expenses on August 1, 2024.

The Company recognized goodwill of $266 million that is primarily attributed to the expanded presence and long-term growth opportunities in the insurance market provided by this strategic acquisition. Approximately $568 million of the acquired goodwill and intangibles is expected to be deductible for income tax purposes. At the date of the acquisition, the Company established a net deferred tax asset of $23 million related to the estimated fair value of reserves for losses and loss adjustment expenses and unearned premiums.

Intangible assets resulting from the acquisition are amortized as part of ‘amortization of intangible assets’ in the Company’s consolidated statements of income. The significant fair value adjustments and related future amortization are as follows:

Value of business acquired (“VOBA”)— which represents the present value of the expected underwriting profit within the unearned premium liability, less costs to service the related policies and a risk premium. The fair value of VOBA was determined after taking into consideration certain key assumptions, including the estimated cost of capital, investment yield, loss ratio and related expenses;

Reserves for losses and loss adjustment expenses—to reflect a decrease related to the present value of the reserve for losses and loss adjustment expenses based on the estimated payout patterns, partially offset by an increase in losses and loss adjustment expenses related to the estimated market based risk margin. The risk margin represents the estimated costs of capital required by a market participant to assume the losses and loss adjustment expenses. The fair value of the reserve for losses and loss adjustment expenses was determined after taking into consideration certain key assumptions, including the estimated cost of capital, and investment yield.

Distribution relationships—the value of the distribution relationships was determined after taking into consideration certain key assumptions, including the estimated cost of capital, investment yield, retention rates, loss ratios, related expenses and effective tax rates that would impact the expected cash flows from Business policies written on a go forward basis.

The results of the acquired Business Entities have been included in the Company’s consolidated financial statements beginning as of their acquisition date. It is impracticable to provide historical supplemental pro forma financial information along with revenue and earnings subsequent to the acquisition due to a variety of factors, including access to historical information and the operations of acquirees being integrated within the Company shortly after closing and not operating as discrete operations within the Company’s organizational structure.

3.    Share Transactions

Share Repurchases

The Board of Directors of Arch Capital has authorized the investment in Arch Capital’s common shares through a share repurchase program. At September 30, 2024, $1.0 billion of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through December 31, 2024. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations.

ARCH CAPITAL			11			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

4.    Earnings Per Common Share

The following table sets forth the computation of basic and diluted earnings per common share:

			Three Months Ended												Nine Months Ended
			September 30,												September 30,
			2024						2023						2024						2023
Numerator:
Net income (loss) available to Arch			$	988					$	723					$	3,377					$	2,109
Preferred dividends			(10)						(10)						(30)						(30)
Net income (loss) available to Arch common shareholders			$	978					$	713					$	3,347					$	2,079
Denominator:
Weighted average common shares and common share equivalents outstanding — basic			373.2						369.2						372.3						368.4
Effect of dilutive common share equivalents:
Nonvested restricted shares			2.0						2.6						1.8						2.4
Stock options (1)			7.1						7.6						7.2						7.5
Weighted average common shares and common share equivalents outstanding — diluted			382.3						379.4						381.3						378.3
Earnings per common share:
Basic			$	2.62					$	1.93					$	8.99					$	5.64
Diluted			$	2.56					$	1.88					$	8.78					$	5.50

(1)    Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For the 2024 third quarter and 2023 third quarter, the number of stock options excluded were 0.2 million and 0.3 million, respectively. For the nine months ended September 30, 2024 and 2023, the number of stock options excluded were 0.4 million and 0.5 million, respectively.

ARCH CAPITAL			12			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

5.    Segment Information

The Company’s insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to the Company’s chief operating decision makers. The Chief Executive Officer and the Chief Financial Officer and Treasurer are the Company’s chief operating decision makers. The Company’s chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for its three reportable segments based on underwriting income or loss. The Company does not manage its assets by segment, with the exception of goodwill and intangible assets, and accordingly, investment income is not allocated to each segment.

The Company determined its segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of the Company’s consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.

The Company’s insurance segment primarily consists of commercial insurance lines of business, with a focus on specialty insurance products. These products are mainly offered in North America, Bermuda, the United Kingdom, continental Europe and Australia. Products offered in North America include: commercial automobile; commercial multi‐peril; other liability—claims made, which includes financial and professional lines; other liability—occurrence, which includes admitted and excess and surplus casualty lines; property and short-tail specialty; workers compensation; and other. Products offered across the Company’s International units include: property and short-tail specialty; and casualty and other.

The Company’s reinsurance segment offers reinsurance products on a worldwide basis. Product lines of business include: casualty; marine and aviation; other specialty; property catastrophe; property excluding property catastrophe; and other.

The Company’s mortgage segment consists of U.S. primary mortgage insurance business written predominantly on loans sold to the Federal National Mortgage Association (“Fannie Mae”) and the Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a government sponsored entity ("GSE") and also through non GSE approved entities (combined “Arch MI U.S.”); reinsurance and underwriting services related to U.S. credit-risk transfer (“CRT”) business which are predominately with the GSEs and other U.S. mortgage reinsurance transactions; and international mortgage insurance and reinsurance business covering loans primarily in Australia and Europe.

The Company’s results also include net investment income, net realized gains or losses (which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investment funds accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income tax items, income or loss from operating affiliates and items related to the Company’s non-cumulative preferred shares.

ARCH CAPITAL			13			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following tables summarize the Company’s underwriting income or loss by segment, together with a reconciliation of underwriting income or loss to net income available to Arch common shareholders:

			Three Months Ended
			September 30, 2024
			Insurance						Reinsurance						Mortgage																		Total
Gross premiums written (1)			$	2,341					$	2,763					$	339																	$	5,440
Premiums ceded (1)			(521)						(818)						(57)																		(1,393)
Net premiums written			1,820						1,945						282																		4,047
Change in unearned premiums			(55)						(53)						31																		(77)
Net premiums earned			1,765						1,892						313																		3,970
Other underwriting income (loss)			—						2						3																		5
Losses and loss adjustment expenses			(1,087)						(1,317)						1																		(2,403)
Acquisition expenses			(308)						(374)						1																		(681)
Other operating expenses			(250)						(54)						(49)																		(353)
Underwriting income (loss)			$	120					$	149					$	269																	538
Net investment income																																	399
Net realized gains (losses)																																	169
Equity in net income (loss) of investment funds accounted for using the equity method																																	171
Other income (loss)																																	8
Corporate expenses (2)																																	(19)
Transaction costs and other (2)																																	(30)
Amortization of intangible assets																																	(88)
Interest expense																																	(35)
Net foreign exchange gains (losses)																																	(63)
Income (loss) before income taxes and income (loss) from operating affiliates																																	1,050
Income tax (expense) benefit																																	(98)
Income (loss) from operating affiliates																																	36
Net income (loss) available to Arch																																	988
Preferred dividends																																	(10)
Net income (loss) available to Arch common shareholders																																	$	978
Underwriting Ratios
Loss ratio			61.6		%				69.6		%				(0.4)		%																60.5		%
Acquisition expense ratio			17.4		%				19.8		%				(0.4)		%																17.2		%
Other operating expense ratio			14.1		%				2.9		%				15.6		%																8.9		%
Combined ratio			93.1		%				92.3		%				14.8		%																86.6		%
Goodwill and intangible assets			$	1,025					$	113					$	348																	$	1,486

(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.

(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’

ARCH CAPITAL			14			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

			Three Months Ended
			September 30, 2023
			Insurance						Reinsurance						Mortgage																		Total
Gross premiums written (1)			$	2,043					$	2,138					$	347																	$	4,527
Premiums ceded (1)			(521)						(576)						(76)																		(1,172)
Net premiums written			1,522						1,562						271																		3,355
Change in unearned premiums			(110)						(19)						22																		(107)
Net premiums earned			1,412						1,543						293																		3,248
Other underwriting income (loss)			—						2						3																		5
Losses and loss adjustment expenses			(812)						(870)						35																		(1,647)
Acquisition expenses			(269)						(304)						(2)																		(575)
Other operating expenses			(202)						(61)						(47)																		(310)
Underwriting income (loss)			$	129					$	310					$	282																	721
Net investment income																																	269
Net realized gains (losses)																																	(248)
Equity in net income (loss) of investment funds accounted for using the equity method																																	59
Other income (loss)																																	(4)
Corporate expenses (2)																																	(20)
Transaction costs and other (2)																																	—
Amortization of intangible assets																																	(24)
Interest expense																																	(34)
Net foreign exchange gains (losses)																																	22
Income (loss) before income taxes and income (loss) from operating affiliates																																	741
Income tax (expense) benefit																																	(72)
Income (loss) from operating affiliates																																	54
Net income (loss) available to Arch																																	723
Preferred dividends																																	(10)
Net income (loss) available to Arch common shareholders																																	$	713
Underwriting Ratios
Loss ratio			57.5		%				56.4		%				(12.1)		%																50.7		%
Acquisition expense ratio			19.1		%				19.7		%				0.6		%																17.7		%
Other operating expense ratio			14.3		%				3.9		%				16.2		%																9.5		%
Combined ratio			90.9		%				80.0		%				4.7		%																77.9		%
Goodwill and intangible assets			$	220					$	132					$	387																	$	739

(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.

(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’

ARCH CAPITAL			15			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

			Nine Months Ended
			September 30, 2024
			Insurance						Reinsurance						Mortgage																		Total
Gross premiums written (1)			$	6,569					$	9,171					$	1,020																	$	16,755
Premiums ceded (1)			(1,649)						(3,013)						(185)																		(4,842)
Net premiums written			4,920						6,158						835																		11,913
Change in unearned premiums			(226)						(820)						90																		(956)
Net premiums earned			4,694						5,338						925																		10,957
Other underwriting income (loss)			—						5						15																		20
Losses and loss adjustment expenses			(2,789)						(3,206)						37																		(5,958)
Acquisition expenses			(872)						(1,050)						1																		(1,921)
Other operating expenses			(718)						(193)						(151)																		(1,062)
Underwriting income (loss)			$	315					$	894					$	827																	2,036
Net investment income																																	1,090
Net realized gains (losses)																																	358
Equity in net income (loss) of investment funds accounted for using the equity method																																	437
Other income (loss)																																	30
Corporate expenses (2)																																	(88)
Transaction costs and other (2)																																	(55)
Amortization of intangible assets																																	(136)
Interest expense																																	(104)
Net foreign exchange gains (losses)																																	(31)
Income (loss) before income taxes and income (loss) from operating affiliates																																	3,537
Income tax (expense) benefit																																	(296)
Income (loss) from operating affiliates																																	136
Net income (loss) available to Arch																																	3,377
Preferred dividends																																	(30)
Net income (loss) available to Arch common shareholders																																	$	3,347
Underwriting Ratios
Loss ratio			59.4		%				60.1		%				(4.0)		%																54.4		%
Acquisition expense ratio			18.6		%				19.7		%				(0.1)		%																17.5		%
Other operating expense ratio			15.3		%				3.6		%				16.3		%																9.7		%
Combined ratio			93.3		%				83.4		%				12.2		%																81.6		%

(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.

(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’

ARCH CAPITAL			16			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

			Nine Months Ended
			September 30, 2023
			Insurance						Reinsurance						Mortgage																		Total
Gross premiums written (1)			$	5,977					$	7,142					$	1,037																	$	14,152
Premiums ceded (1)			(1,564)						(2,145)						(240)																		(3,945)
Net premiums written			4,413						4,997						797																		10,207
Change in unearned premiums			(416)						(781)						86																		(1,111)
Net premiums earned			3,997						4,216						883																		9,096
Other underwriting income (loss)			—						9						12																		21
Losses and loss adjustment expenses			(2,276)						(2,379)						46																		(4,609)
Acquisition expenses			(778)						(875)						(16)																		(1,669)
Other operating expenses			(592)						(203)						(147)																		(942)
Underwriting income (loss)			$	351					$	768					$	778																	1,897
Net investment income																																	710
Net realized gains (losses)																																	(354)
Equity in net income (loss) of investment funds accounted for using the equity method																																	176
Other income (loss)																																	10
Corporate expenses (2)																																	(69)
Transaction costs and other (2)																																	(2)
Amortization of intangible assets																																	(71)
Interest expense																																	(99)
Net foreign exchange gains (losses)																																	(1)
Income (loss) before income taxes and income (loss) from operating affiliates																																	2,197
Income tax (expense) benefit																																	(203)
Income (loss) from operating affiliates																																	115
Net income (loss) available to Arch																																	2,109
Preferred dividends																																	(30)
Net income (loss) available to Arch common shareholders																																	$	2,079
Underwriting Ratios
Loss ratio			57.0		%				56.4		%				(5.3)		%																50.7		%
Acquisition expense ratio			19.5		%				20.7		%				1.8		%																18.3		%
Other operating expense ratio			14.8		%				4.8		%				16.7		%																10.4		%
Combined ratio			91.3		%				81.9		%				13.2		%																79.4		%

(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.

(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’

ARCH CAPITAL			17			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

6.    Reserve for Losses and Loss Adjustment Expenses

The following table represents an analysis of losses and loss adjustment expenses and a reconciliation of the beginning and ending reserve for losses and loss adjustment expenses:

			Three Months Ended												Nine Months Ended
			September 30,												September 30,
			2024						2023						2024						2023
Reserve for losses and loss adjustment expenses at beginning of period			$	24,466					$	21,268					$	22,752					$	20,032
Unpaid losses and loss adjustment expenses recoverable			7,083						6,394						6,690						6,280
Net reserve for losses and loss adjustment expenses at beginning of period			17,383						14,874						16,062						13,752
Net incurred losses and loss adjustment expenses relating to losses occurring in:
Current year			2,524						1,793						6,324						5,012
Prior years			(121)						(146)						(366)						(403)
Total net incurred losses and loss adjustment expenses			2,403						1,647						5,958						4,609
Net losses and loss adjustment expense reserves of acquired businesses (1)			2,413						—						2,463						—
Net foreign exchange (gains) losses and other			246						(123)						152						(24)
Net paid losses and loss adjustment expenses relating to losses occurring in:
Current year			(362)						(345)						(647)						(700)
Prior years			(967)						(713)						(2,872)						(2,297)
Total net paid losses and loss adjustment expenses			(1,329)						(1,058)						(3,519)						(2,997)
Net reserve for losses and loss adjustment expenses at end of period			21,116						15,340						21,116						15,340
Unpaid losses and loss adjustment expenses recoverable			7,563						6,496						7,563						6,496
Reserve for losses and loss adjustment expenses at end of period			$	28,679					$	21,836					$	28,679					$	21,836

(1) Activity for the 2024 third quarter related to the acquisition of MCE (see note 2) and Watford Insurance Company (see note 16), while activity for the nine months ended September 30, 2024 also reflects the Company’s acquisition of RMIC Companies, Inc. and its wholly-owned subsidiaries (“RMIC”) that, together, comprise the run-off mortgage insurance business of Old Republic International Corporation.

Prior year development (“PYD”) arises from changes in loss estimates during the current period related to events occurring in prior calendar years. Long-tailed lines include lines of business that typically take many years for claims to settle such as third-party liability; short-tailed lines are those that settle more quickly such as property. The table below summarizes (favorable) and adverse net PYD by segment and tail length:

			Three Months Ended																		Nine Months Ended
(Favorable) Adverse			September 30,																		September 30,
2024			Short-tailed						Long-tailed						Total						Short-tailed						Long-tailed						Total
Insurance			$	(31)					$	15					$	(16)					$	(61)					$	30					$	(31)
Reinsurance			(68)						27						(41)						(158)						43						(115)
Mortgage			(64)						—						(64)						(220)						—						(220)
Total			$	(163)					$	42					$	(121)					$	(439)					$	73					$	(366)
2023
Insurance			$	(29)					$	19					$	(10)					$	(74)					$	40					$	(34)
Reinsurance			(65)						21						(44)						(168)						42						(126)
Mortgage			(92)						—						(92)						(243)						—						(243)
Total			$	(186)					$	40					$	(146)					$	(485)					$	82					$	(403)

ARCH CAPITAL			18			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

2024 Third Quarter

The insurance segment’s short-tailed lines included $15 million of favorable development in property and marine, primarily from the 2012 and 2023 accident years (i.e., the year in which a loss occurred), and $11 million of favorable development in travel and accident, primarily from the 2023 accident year. Long tailed lines primarily included adverse development in programs, mainly from the 2023 accident year.

The reinsurance segment’s short-tailed lines included $35 million of favorable development from other specialty lines, primarily from the 2012 and subsequent underwriting years (i.e., all premiums and losses attributable to contracts having an inception or renewal date within the given 12 month period), and $20 million of favorable development from property other than property catastrophe, primarily from the 2022 and 2023 underwriting years. Long-tailed lines included $27 million of adverse development in casualty, primarily from the 2020 and 2022 underwriting years.

The mortgage segment’s favorable development was driven by reductions on reserves for delinquent loans associated with the U.S. first lien portfolio from the 2023 accident year. The Company’s credit risk transfer and international businesses also contributed to the favorable development.

2023 Third Quarter

The insurance segment’s short-tailed lines included $16 million of favorable development in property and marine, primarily from the 2021 and 2022 accident years. Long-tailed lines included $25 million of adverse development in professional liability, primarily from 2019 and 2020 accident years.

The reinsurance segment’s short-tailed lines included $29 million of favorable development in property other than property catastrophe, primarily from the 2020 to 2022 underwriting years, $22 million of favorable development in property catastrophe, primarily from the 2021 and 2022 underwriting years, and $19 million of favorable development in other specialty lines, primarily from the 2021 and prior underwriting years. Long-tailed lines included $21 million of adverse development in casualty, primarily from the 2016 to 2020 underwriting years.

The mortgage segment’s favorable development was driven by reserve releases associated with the U.S. first lien portfolio from the 2020 through 2022 accident years, with the credit risk transfer and international businesses also contributing.

Nine Months Ended September 30, 2024

The insurance segment’s short-tailed lines included $31 million of favorable development in surety, primarily from the 2007 and 2022 accident years, and $29 million of favorable development in travel and accident, primarily from the 2023 accident year. Net adverse development in long-tailed lines primarily included adverse development in programs, mainly from the 2023 accident year.

The reinsurance segment’s short-tailed lines included $72 million of favorable development from other specialty lines, primarily from the 2015 and subsequent underwriting years and $71 million of favorable development from property other than property catastrophe, primarily from the 2022 and 2023 underwriting years. Long-tailed lines included $43 million of adverse development in casualty, primarily from the 2017 and 2020 underwriting years.

The mortgage segment’s favorable development was driven by reserve releases associated with the U.S. first lien portfolio from the 2022 and 2023 accident years. The Company’s credit risk transfer and international businesses also contributed to the favorable development.

Nine Months Ended September 30, 2023

The insurance segment’s short-tailed lines included $44 million of favorable development in property and marine, primarily from the 2021 and 2022 accident years and $20 million of favorable development in warranty and lenders solutions, primarily from the 2022 accident year. Long-tailed lines included $48 million of adverse development in professional liability, primarily from the 2017 to 2020 accident years, partially offset by $24 million of favorable development in executive assurance, primarily from the 2019 and 2021 accident years.

The reinsurance segment’s short-tailed lines included $75 million of favorable development in property other than property catastrophe, primarily from the 2021 and 2022 underwriting years, $46 million in other specialty lines, primarily from the 2021 underwriting year, and $29 million of favorable development in property catastrophe, primarily from the 2019 and 2022 underwriting years. Long-tailed lines primarily included $39 million of adverse development in casualty, primarily from the 2014 to 2020 underwriting years.

The mortgage segment’s favorable development was driven by reserve releases associated with the U.S. first lien portfolio from the 2020 to 2022 accident years, with the credit risk transfer and international businesses also contributing.

ARCH CAPITAL			19			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

7.    Allowance for Expected Credit Losses

Premiums Receivable

The following table provides a roll forward of the allowance for expected credit losses of the Company’s premium receivables:

			Premium Receivables, Net of Allowance			Allowance for Expected Credit Losses
Three Months Ended September 30, 2024
Balance at beginning of period			$	6,268		$	36
Provision on business acquired (1)						16
Change for provision of expected credit losses (2)						—
Balance at end of period			$	6,364		$	52
Three Months Ended September 30, 2023
Balance at beginning of period			$	5,296		$	34
Change for provision of expected credit losses (2)						—
Balance at end of period			$	4,937		$	34
Nine Months Ended September 30, 2024
Balance at beginning of year			$	4,644		$	34
Provision on business acquired (1)						16
Change for provision of expected credit losses (2)						2
Balance at end of period			$	6,364		$	52
Nine Months Ended September 30, 2023
Balance at beginning of year			$	3,625		$	35
Change for provision of expected credit losses (2)						(1)
Balance at end of period			$	4,937		$	34

(1)Represents MCE’s provision for current expected credit losses on premiums receivable. See note 2.

(2)Amounts deemed uncollectible are written-off in operating expenses. For the 2024 third quarter and 2023 third quarter, amounts written off were $1 million and nil, respectively. For the nine months ended September 30, 2024 and 2023 period, amounts written off were $1 million and $2 million, respectively.

Reinsurance Recoverables

The following table provides a roll forward of the allowance for expected credit losses of the Company’s reinsurance recoverables:

			Reinsurance Recoverables, Net of Allowance						Allowance for Expected Credit Losses
Three Months Ended September 30, 2024
Balance at beginning of period			$	7,473					$	20
Change for provision of expected credit losses									(3)
Balance at end of period			$	7,948					$	17
Three Months Ended September 30, 2023
Balance at beginning of period			$	6,717					$	22
Change for provision of expected credit losses									1
Balance at end of period			$	6,821					$	23
Nine Months Ended September 30, 2024
Balance at beginning of year			$	7,064					$	21
Change for provision of expected credit losses									(4)
Balance at end of period			$	7,948					$	17
Nine Months Ended September 30, 2023
Balance at beginning of year			$	6,564					$	22
Change for provision of expected credit losses									1
Balance at end of period			$	6,821					$	23

The following table summarizes the Company’s reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums):

			September 30,						December 31,
			2024						2023
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses			$	7,948					$	7,064
% due from carriers with A.M. Best rating of “A-” or better			65.3		%				66.8		%
% due from all other rated carriers			0.0		%				0.1		%
% due from all other carriers with no A.M. Best rating (1)			34.7		%				33.1		%
Largest balance due from any one carrier as % of total shareholders’ equity			7.1		%				7.2		%

(1)    At September 30, 2024 and December 31, 2023 over 95% of such amount were collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.

ARCH CAPITAL			20			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Contractholder Receivables

The following table provides a roll forward of the allowance for expected credit losses of the Company’s contractholder receivables:

			Contract-holder Receivables, Net of Allowance						Allowance for Expected Credit Losses
Three Months Ended September 30, 2024
Balance at beginning of period			$	2,016					$	4
Change for provision of expected credit losses									—
Balance at end of period			$	2,078					$	4
Three Months Ended September 30, 2023
Balance at beginning of period			$	1,761					$	3
Change for provision of expected credit losses									—
Balance at end of period			1,805						$	3
Nine Months Ended September 30, 2024
Balance at beginning of year			$	1,814					$	3
Change for provision of expected credit losses									1
Balance at end of period			$	2,078					$	4
Nine Months Ended September 30, 2023
Balance at beginning of year			$	1,731					$	3
Change for provision of expected credit losses									—
Balance at end of period			1,805						$	3

ARCH CAPITAL			21			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

8.    Investment Information

Available For Sale Investments

The following table summarizes the fair value and cost or amortized cost of the Company’s securities classified as available for sale:

			Estimated Fair Value						Gross Unrealized Gains						Gross Unrealized Losses						Allowance for Expected Credit Losses						Cost or Amortized Cost
September 30, 2024
Fixed maturities:
Corporate bonds			$	13,996					$	339					$	(294)					$	(12)					$	13,963
U.S. government and government agencies			5,863						53						(48)						—						5,858
Asset backed securities			2,989						27						(27)						(5)						2,994
Non-U.S. government securities			2,853						75						(84)						(1)						2,863
Commercial mortgage backed securities			1,146						8						(17)						(1)						1,156
Residential mortgage backed securities			1,313						14						(50)						—						1,349
Municipal bonds			274						2						(11)						—						283
Total			28,434						518						(531)						(19)						28,466
Short-term investments			3,341						6						(2)						—						3,337
Total			$	31,775					$	524					$	(533)					$	(19)					$	31,803
December 31, 2023
Fixed maturities:
Corporate bonds			$	10,855					$	157					$	(464)					$	(20)					$	11,182
U.S. government and government agencies			5,814						63						(86)						—						5,837
Asset backed securities			2,250						11						(55)						(5)						2,299
Non-U.S. government securities			2,062						33						(100)						(1)						2,130
Commercial mortgage backed securities			1,213						3						(34)						(2)						1,246
Residential mortgage backed securities			1,103						7						(66)						—						1,162
Municipal bonds			256						1						(20)						—						275
Total			23,553						275						(825)						(28)						24,131
Short-term investments			2,063						1						(2)						—						2,064
Total			$	25,616					$	276					$	(827)					$	(28)					$	26,195

ARCH CAPITAL			22			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table summarizes, for all available for sale securities in an unrealized loss position, the fair value and gross unrealized loss by length of time the security has been in a continual unrealized loss position:

			Less than 12 Months												12 Months or More												Total
			Estimated Fair Value						Gross Unrealized Losses						Estimated Fair Value						Gross Unrealized Losses						Estimated Fair Value						Gross Unrealized Losses
September 30, 2024
Fixed maturities:
Corporate bonds			$	1,903					$	(76)					$	3,316					$	(218)					$	5,219					$	(294)
U.S. government and government agencies			1,815						(10)						571						(38)						2,386						(48)
Non-U.S. government securities			614						(8)						743						(76)						1,357						(84)
Residential mortgage backed securities			213						(2)						485						(48)						698						(50)
Asset backed securities			199						(3)						442						(24)						641						(27)
Commercial mortgage backed securities			176						(1)						644						(16)						820						(17)
Municipal bonds			1						—						185						(11)						186						(11)
Total			4,921						(100)						6,386						(431)						11,307						(531)
Short-term investments			362						(2)						—						—						362						(2)
Total			$	5,283					$	(102)					$	6,386					$	(431)					$	11,669					$	(533)
December 31, 2023
Fixed maturities:
Corporate bonds			$	1,559					$	(45)					$	4,959					$	(419)					$	6,518					$	(464)
U.S. government and government agencies			1,066						(10)						941						(76)						2,007						(86)
Non-U.S. government securities			365						(4)						897						(96)						1,262						(100)
Residential mortgage backed securities			221						(3)						522						(63)						743						(66)
Asset backed securities			234						(1)						1,112						(54)						1,346						(55)
Commercial mortgage backed securities			100						(1)						909						(33)						1,009						(34)
Municipal bonds			20						(1)						215						(19)						235						(20)
Total			3,565						(65)						9,555						(760)						13,120						(825)
Short-term investments			302						(2)						—						—						302						(2)
Total			$	3,867					$	(67)					$	9,555					$	(760)					$	13,422					$	(827)

At September 30, 2024, on a lot level basis, approximately 6,710 security lots out of a total of approximately 19,840 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $4 million. At December 31, 2023, on a lot level basis, approximately 7,100 security lots out of a total of approximately 15,720 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $6 million.

The contractual maturities of the Company’s fixed maturities are shown in the following table. Expected maturities, which are management’s best estimates, will differ from contractual maturities because borrowers may have the right to call or prepay obligations with or without call or prepayment penalties.

						September 30, 2024												December 31, 2023
Maturity						Estimated Fair Value						Amortized Cost						Estimated Fair Value						Amortized Cost
Due in one year or less						$	430					$	445					$	480					$	499
Due after one year through five years						15,533						15,457						12,924						13,101
Due after five years through 10 years						6,572						6,595						5,249						5,450
Due after 10 years						451						470						334						374
						22,986						22,967						18,987						19,424
Residential mortgage backed securities						1,313						1,349						1,103						1,162
Commercial mortgage backed securities						1,146						1,156						1,213						1,246
Asset backed securities						2,989						2,994						2,250						2,299
Total						$	28,434					$	28,466					$	23,553					$	24,131

ARCH CAPITAL			23			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Equity Securities, at Fair Value

At September 30, 2024, the Company held $1.6 billion of equity securities, at fair value, compared to $1.2 billion at December 31, 2023. Such holdings include publicly traded common stocks, primarily in the consumer cyclical and non-cyclical, technology, communication and financial sectors, and exchange-traded funds in fixed income, equity and other sectors.

Other Investments, at Fair Value

The following table summarizes the Company’s other investments:

			September 30, 2024						December 31, 2023
Other investments			$	2,096					$	1,777
Fixed maturities			1,097						683
Short term investments			61						21
Equity securities			7						7
Total			$	3,261					$	2,488

The following table summarizes the Company’s other investments, as detailed in the previous table, by strategy:

			September 30, 2024						December 31, 2023
Investment grade fixed income			$	957					$	754
Term loan investments			499						272
Lending			299						427
Private equity			212						182
Credit related funds			111						124
Energy			18						18
Total			$	2,096					$	1,777

Net Investment Income

The components of net investment income were derived from the following sources:

			September 30,
			2024						2023
Three Months Ended
Fixed maturities			$	340					$	243
Short term investments			38						19
Equity securities			9						5
Other (1)			35						22
Gross investment income			422						289
Investment expenses			(23)						(20)
Net investment income			$	399					$	269
Nine Months Ended
Fixed maturities			$	926					$	645
Short term investments			102						48
Equity securities			27						15
Other (1)			103						60
Gross investment income			1,158						768
Investment expenses			(68)						(58)
Net investment income			$	1,090					$	710

(1)    Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other items.

ARCH CAPITAL			24			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Net Realized Gains (Losses)

Net realized gains (losses), which include changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings were as follows:

			September 30,
			2024						2023
Three Months Ended
Available for sale securities:
Gross gains on investment sales			$	104					$	12
Gross losses on investment sales			(50)						(116)
Change in fair value of assets and liabilities accounted for using the fair value option:
Fixed maturities			25						(16)
Other investments			(120)						3
Equity securities, at fair value:
Net realized gains (losses) on sales during the period			15						14
Net unrealized gains (losses) on equity securities still held at reporting date			58						(46)
Allowance for credit losses:
Investments related			6						—
Underwriting related			2						(1)
Derivative instruments (1)			125						(102)
Other			4						4
Net realized gains (losses)			$	169					$	(248)
Nine Months Ended
Available for sale securities:
Gross gains on investment sales			$	167					$	51
Gross losses on investment sales			(205)						(396)
Change in fair value of assets and liabilities accounted for using the fair value option:
Fixed maturities			23						(12)
Other investments			(150)						17
Equity securities			—						1
Equity securities, at fair value:
Net realized gains (losses) on sales during the period			31						50
Net unrealized gains (losses) on equity securities still held at reporting date			147						17
Allowance for credit losses:
Investments related			4						(23)
Underwriting related			—						(2)
Derivative instruments (1)			116						(61)
Other (2)			225						4
Net realized gains (losses)			$	358					$	(354)

(1)    See note 10 for information on the Company’s derivative instruments.

(2)    Amounts include benefits from the sale of Castel Underwriting Agencies Limited and the acquisition of RMIC.

Investments Accounted For Using the Equity Method

The following table summarizes the Company’s investments accounted for using the equity method, by strategy:

			September 30, 2024						December 31, 2023
Private equity			$	1,737					$	1,175
Credit related funds			1,366						1,258
Real estate			721						666
Lending			474						597
Fixed income			377						277
Infrastructure			323						320
Equities			177						178
Energy			69						95
Total			$	5,244					$	4,566

Certain of the Company’s other investments are in investment funds for which the Company has the option to redeem at agreed upon values as described in each investment fund’s subscription agreement. Depending on the terms of the various subscription agreements, investments in investment funds may be redeemed daily, monthly, quarterly or on other terms. Two common redemption restrictions which may impact the Company’s ability to redeem these investment funds are gates and lockups. A gate is a suspension of redemptions which may be implemented by the general partner or investment manager of the fund in order to defer, in whole or in part, the redemption request in the event the aggregate amount of redemption requests exceeds a predetermined percentage of the investment fund’s net assets which may otherwise hinder the general partner or investment manager’s ability to liquidate holdings in an orderly fashion in order to generate the cash necessary to fund extraordinarily large redemption payouts. A lockup period is the initial amount of time an investor is contractually required to hold the security before having the ability to redeem. If the investment funds are eligible to be redeemed, the time to redeem such fund can take weeks or months following the notification.

Limited Partnership Interests

In the normal course of its activities, the Company invests in limited partnerships as part of its overall investment strategy. Such amounts are included in ‘investments accounted for using the equity method’ and ‘investments accounted for using the fair value option.’ The Company has determined that it is not required to consolidate these investments because it is not the primary beneficiary of the funds. The Company’s maximum exposure to loss with respect to these investments is limited to the investment carrying amounts reported in the Company’s consolidated balance sheet and any unfunded commitment.

ARCH CAPITAL			25			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table summarizes investments in limited partnership interests where the Company has a variable interest by balance sheet line item:

			September 30, 2024						December 31, 2023
Investments accounted for using the equity method (1)			$	5,244					$	4,566
Investments accounted for using the fair value option (2)			83						114
Total			$	5,327					$	4,680

(1)    Aggregate unfunded commitments were $4.3 billion at September 30, 2024, compared with $3.4 billion at December 31, 2023.

(2)    Aggregate unfunded commitments were $21 million at September 30, 2024, compared to $32 million at December 31, 2023.

Equity in Net Income (Loss) of Investment Funds Accounted for Using the Equity Method

Income from investment funds accounted for using the equity method for the 2024 third quarter was $171 million, compared to $59 million for the 2023 third quarter and an income of $437 million for the nine months ended September 30, 2024, compared to income of $176 million for the nine months ended September 30, 2023. In applying the equity method, investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds.

Investments in Operating Affiliates

Investments in which the Company has significant influence over the operating and financial policies are classified as ‘investments in operating affiliates’ on the Company’s balance sheets and are accounted for under the equity method. Such investments primarily include the Company’s investment in Coface SA (“Coface”), Greysbridge Holdings Ltd., (“Greysbridge”) and Premia Holdings Ltd. Investments in Coface and Premia Holdings Ltd. are generally recorded on a three month lag, while the Company’s investment in Greysbridge is not recorded on a lag.

As of September 30, 2024, the Company owned approximately 29.9% of the issued shares of Coface, or 30% excluding treasury shares, with a carrying value of $596 million, compared to $570 million at December 31, 2023.

As of September 30, 2024, the Company owned 40% of Greysbridge with a carrying value of $521 million, compared to $430 million at December 31, 2023.

Income from operating affiliates for the 2024 third quarter was $36 million, compared to $54 million for the 2023 third quarter and income of $136 million for the nine months ended September 30, 2024, compared to income of $115 million for nine months ended September 30, 2023

See note 16 for information on Company’s transactions with related parties.

ARCH CAPITAL			26			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Allowance for Expected Credit Losses

The following table provides a roll forward of the allowance for expected credit losses of the Company’s securities classified as available for sale:

						Structured Securities (1)												Corporate Bonds												Non-U.S. Government Securities						Total
Three Months Ended September 30, 2024
Balance at beginning of period						$	10											$	16											$	1					$	27
Additions (reductions) for previously recognized expected credit losses						(3)												(3)												—						(6)
Reductions due to disposals						(1)												(1)												—						(2)
Balance at end of period						$	6											$	12											$	1					$	19
Three Months Ended September 30, 2023
Balance at beginning of period						$	8											$	50											$	3					$	61
Additions for current-period provision for expected credit losses						2												4												—						6
Additions (reductions) for previously recognized expected credit losses						—												(3)												—						(3)
Reductions due to disposals						(2)												(4)												(1)						(7)
Balance at end of period						$	8											$	47											$	2					$	57
Nine Months Ended September 30, 2024
Balance at beginning of year						$	7											$	20											$	1					$	28
Additions (reductions) for previously recognized expected credit losses						—												(4)												—						(4)
Reductions due to disposals						(1)												(4)												—						(5)
Balance at end of period						$	6											$	12											$	1					$	19
Nine Months Ended September 30, 2023
Balance at beginning of year						$	9											$	30											$	2					$	41
Additions for current-period provision for expected credit losses						2												5												—						7
Additions (reductions) for previously recognized expected credit losses						(1)												18												1						18
Reductions due to disposals						(2)												(6)												(1)						(9)
Balance at end of period						$	8											$	47											$	2					$	57

(1)    Includes asset backed securities, residential mortgage backed securities and commercial mortgage backed securities.

Restricted Assets

The Company is required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support its underwriting operations. The Company’s subsidiaries maintain assets in trust accounts as collateral for transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. See note 18, “Commitments and Contingencies,” of the notes to consolidated financial statements in the Company’s 2023 Form 10-K.

The following table details the value of the Company’s restricted assets:

			September 30, 2024						December 31, 2023
Assets used for collateral or guarantees:
Affiliated transactions			$	5,306					$	4,854
Third party agreements (1)			5,679						2,869
Deposits with U.S. regulatory authorities			883						833
Other (2)			1,453						1,376
Total restricted assets			$	13,321					$	9,932

(1)    2024 period includes amounts related to the MCE Acquisition.

(2)    Primarily includes Funds at Lloyds, deposits with non-U.S. regulatory authorities and other restricted assets.

Reconciliation of Cash and Restricted Cash

The following table details reconciliation of cash and restricted cash within the Consolidated Balance Sheets:

			September 30, 2024						December 31, 2023
Cash			$	1,025					$	917
Restricted cash (included in ‘other assets’)			687						581
Cash and restricted cash			$	1,712					$	1,498

ARCH CAPITAL			27			2024 THIRD QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

9.    Fair Value

Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. It defines fair value as the price that would be received to sell an asset or paid to transfer a liability in an orderly fashion between market participants at the measurement date. In addition, it establishes a three-level valuation hierarchy for the disclosure of fair value measurements. The valuation hierarchy is based upon the transparency of inputs to the valuation of an asset or liability as of the measurement date. The level in the hierarchy within which a given fair value measurement falls is determined based on the lowest level input that is significant to the measurement (Level 1 being the highest priority and Level 3 being the lowest priority).

The levels in the hierarchy are defined as follows:

Level 1:						Inputs to the valuation methodology are observable inputs that reflect quoted prices (unadjusted) for identical assets or liabilities in active markets
Level 2:						Inputs to the valuation methodology include quoted prices for similar assets and liabilities in active markets, and inputs that are observable for the asset or liability, either directly or indirectly, for substantially the full term of the financial instrument
Level 3:						Inputs to the valuation methodology are unobservable and significant to the fair value measurement

Following is a description of the valuation methodologies used for securities measured at fair value, as well as the general classification of such securities pursuant to the valuation hierarchy. The Company reviews its securities measured at fair value and discusses the proper classification of such investments with investment advisers and others.

The Company determines the existence of an active market based on its judgment as to whether transactions for the financial instrument occur in such market with sufficient frequency and volume to provide reliable pricing information. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. The Company uses quoted values and other data provided by nationally recognized independent pricing sources as inputs into its process for determining fair values of its fixed maturity investments. To validate the techniques or models used by pricing sources, the Company's review process includes, but

is not limited to: (i) quantitative analysis (e.g., comparing the quarterly return for each managed portfolio to its target benchmark, with significant differences identified and investigated); (ii) a review of the average number of prices obtained in the pricing process and the range of resulting fair values; (iii) initial and ongoing evaluation of methodologies used by outside parties to calculate fair value; (iv) a comparison of the fair value estimates to the Company’s knowledge of the current market; (v) a comparison of the pricing services' fair values to other pricing services' fair values for the same investments; and (vi) periodic back-testing, which includes randomly selecting purchased or sold securities and comparing the executed prices to the fair value estimates from the pricing service. A price source hierarchy was maintained in order to determine which price source would be used (i.e., a price obtained from a pricing service with more seniority in the hierarchy will be used over a less senior one in all cases). The hierarchy prioritizes pricing services based on availability and reliability and assigns the highest priority to index providers. Based on the above review, the Company will challenge any prices for a security or portfolio which are considered not to be representative of fair value. The Company did not adjust any of the prices obtained from the independent pricing sources at September 30, 2024.

In certain circumstances, when fair values are unavailable from these independent pricing sources, quotes are obtained directly from broker-dealers who are active in the corresponding markets. Such quotes are subject to the validation procedures noted above. Where quotes are unavailable, fair value is determined by the Investment Manager using quantitative and qualitative assessments such as internally modeled values. Of the $36.9 billion of financial assets and liabilities measured at fair value at September 30, 2024, approximately $146 million, or 0.4%, were priced using non-binding broker-dealer quotes or modeled valuations. Of the $29.6 billion of financial assets and liabilities measured at fair value at December 31, 2023, approximately $14 million, or 0.0%, were priced using non-binding broker-dealer quotes or modeled valuations.

Fixed maturities

The Company uses the market approach valuation technique to estimate the fair value of its fixed maturity securities, when possible. The market approach includes obtaining prices from independent pricing services, such as index providers and pricing vendors, as well as to a lesser extent quotes from broker-dealers. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. Each source has its own proprietary method for determining the fair value of securities that are not actively traded. In general, these methods involve the use of “matrix pricing” in which the independent pricing source uses observable market inputs

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

including, but not limited to, investment yields, credit risks and spreads, benchmarking of like securities, broker-dealer quotes, reported trades and sector groupings to determine a reasonable fair value.

The following describes the significant inputs generally used to determine the fair value of the Company’s fixed maturity securities by asset class:

U.S. government and government agencies – valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The Company determined that all U.S. Treasuries would be classified as Level 1 securities due to observed levels of trading activity, the high number of strongly correlated pricing quotes received on U.S. Treasuries and other factors. The fair values of U.S. government agency securities are generally determined using the spread above the risk-free yield curve. As the yields for the risk-free yield curve and the spreads for these securities are observable market inputs, the fair values of U.S. government agency securities are classified within Level 2.

Corporate bonds – valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined using the spread above the risk-free yield curve. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for corporate bonds are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to a low level of transparency on the inputs used in the pricing process.

Municipal bonds – valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally determined using spreads obtained from broker-dealers who trade in the relevant security market, trade prices and the new issue market. As the significant inputs used in the pricing process for municipal bonds are observable market inputs, the fair value of these securities are classified within Level 2.

Residential mortgage-backed securities – valuations provided by independent pricing services, substantially all through pricing vendors and index providers with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the expected average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. The pricing services also review

prepayment speeds and other indicators, when applicable. As the significant inputs used in the pricing process for mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to a low level of transparency on the inputs used in the pricing process.

Commercial mortgage-backed securities – valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. The pricing services also review prepayment speeds and other indicators, when applicable. As the significant inputs used in the pricing process for commercial mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2.

Non-U.S. government securities – valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally based on international indices or valuation models which include daily observed yield curves, cross-currency basis index spreads and country credit spreads. As the significant inputs used in the pricing process for non-U.S. government securities are observable market inputs, the fair value of these securities are classified within Level 2.

Asset-backed securities – valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. The pricing services also review prepayment speeds and other indicators, when applicable. As the significant inputs used in the pricing process for asset-backed securities are observable market inputs, the fair value of these securities are classified within Level 2.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Equity securities

The Company determined that exchange-traded equity securities would be included in Level 1 as their fair values are based on quoted market prices in active markets. Certain equity securities are included in Level 2 of the valuation hierarchy as the significant inputs used in the pricing process for such securities are observable market inputs. Other equity securities are included in Level 3 due to the lack of an available independent price source for such securities. As the significant inputs used to price these securities are unobservable, the fair value of such securities are classified as Level 3.

Other investments

The Company’s other investments include term loan investments for which fair values are estimated by using quoted prices of term loan investments with similar characteristics, pricing models or matrix pricing. Such investments are generally classified within Level 2. The fair values for certain of the Company’s other investments are determined using net asset values as advised by external fund managers. The net asset value is based on the fund manager’s valuation of the underlying holdings in accordance with the fund’s governing documents. In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities.

Derivative instruments

The Company’s futures contracts, foreign currency forward contracts, interest rate swaps and other derivatives trade in the over-the-counter derivative market. The Company uses the market approach valuation technique to estimate the fair value for these derivatives based on significant observable market inputs from third party pricing vendors, non-binding broker-dealer quotes and/or recent trading activity. As the significant inputs used in the pricing process for these derivative instruments are observable market inputs, the fair value of these securities are classified within Level 2.

Short-term investments

The Company determined that certain of its short-term investments held in highly liquid money market-type funds, Treasury bills and commercial paper would be included in Level 1 as their fair values are based on quoted market prices in active markets. The fair values of certain short-term investments are generally determined using the spread above the risk-free yield curve and are classified within Level 2. Other short-term investments are included in Level 3 due to the lack of an available independent price source for such securities. As the significant inputs used to price these short-term securities are unobservable, the fair value of such securities are classified as Level 3.

Residential mortgage loans

The Company’s residential mortgage loans (included in ‘other assets’ in the consolidated balance sheets) include amounts related to the Company’s whole mortgage loan purchase and sell program. Fair values of residential mortgage loans are generally determined based on market prices. As significant inputs used in pricing process for these residential mortgage loans are observable market inputs, the fair value of these securities are classified within Level 2.

Other liabilities

The Company’s other liabilities include contingent and deferred consideration liabilities related to the Company’s acquisitions. Contingent consideration liabilities are remeasured at fair value at each balance sheet date with changes in fair value recognized in ‘net realized gains (losses’). To determine the fair value of contingent consideration liabilities, the Company estimates the future payments using an income approach based on modeled inputs which include a weighted average cost of capital. Deferred consideration liabilities are measured at fair value on the transaction date. The Company determined that contingent and deferred consideration liabilities would be included within Level 3.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table presents the Company’s financial assets and liabilities measured at fair value by level at September 30, 2024:

									Estimated Fair Value Measurements Using:
			Estimated Fair Value						Quoted Prices in Active Markets for Identical Assets (Level 1)						Significant Other Observable Inputs (Level 2)						Significant Unobservable Inputs (Level 3)
Assets measured at fair value:
Available for sale securities:
Fixed maturities:
Corporate bonds			$	13,996					$	2					$	13,853					$	141
U.S. government and government agencies			5,863						5,850						13						—
Asset backed securities			2,989						—						2,989						—
Non-U.S. government securities			2,853						—						2,853						—
Commercial mortgage backed securities			1,146						—						1,146						—
Residential mortgage backed securities			1,313						—						1,313						—
Municipal bonds			274						—						274						—
Total			28,434						5,852						22,441						141
Short-term investments			3,341						3,081						163						97
Equity securities, at fair value			1,623						1,590						27						6
Derivative instruments (2)			147						—						147						—
Residential mortgage loans			13						—						13						—
Fair value option:
Corporate bonds			1,085						—						1,085						—
Non-U.S. government bonds			8						—						8						—
U.S. government and government agencies			4						4						—						—
Short-term investments			61						3						43						15
Equity securities			7						3						—						4
Other investments			703						—						413						290
Other investments measured at net asset value (1)			1,393
Total			3,261						10						1,549						309
Total assets measured at fair value			$	36,819					$	10,533					$	24,340					$	553
Liabilities measured at fair value:
Other liabilities			$	(43)					$	—					$	—					$	(43)
Derivative instruments (2)			(81)						—						(81)						—
Total liabilities measured at fair value			$	(124)					$	—					$	(81)					$	(43)

(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.

(2)    See note 10.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2023:

									Estimated Fair Value Measurements Using:
			Estimated Fair Value						Quoted Prices in Active Markets for Identical Assets (Level 1)						Significant Other Observable Inputs (Level 2)						Significant Unobservable Inputs (Level 3)
Assets measured at fair value:
Available for sale securities:
Fixed maturities:
Corporate bonds			$	10,855					$	—					$	10,708					$	147
U.S. government and government agencies			5,814						5,792						22						—
Asset backed securities			2,250						—						2,250						—
Non-U.S. government securities			2,062						—						2,062						—
Commercial mortgage backed securities			1,213						—						1,213						—
Residential mortgage backed securities			1,103						—						1,103						—
Municipal bonds			256						—						256						—
Total			23,553						5,792						17,614						147
Short-term investments			2,063						1,786						193						84
Equity securities, at fair value			1,186						1,151						30						5
Derivative instruments (2)			197						—						197						—
Residential mortgage loans			2						—						2						—
Fair value option:
Corporate bonds			662						—						662						—
Non-U.S. government bonds			6						—						6						—
Asset backed securities			2						—						2						—
U.S. government and government agencies			13						13						—						—
Short-term investments			21						—						11						10
Equity securities			7						3						—						4
Other investments			316						—						210						106
Other investments measured at net asset value (1)			1,461
Total			2,488						16						891						120
Total assets measured at fair value			$	29,489					$	8,745					$	18,927					$	356
Liabilities measured at fair value:
Other liabilities			$	(22)					$	—					$	—					$	(22)
Derivative instruments (2)			(119)						—						(119)						—
Total liabilities measured at fair value			$	(141)					$	—					$	(119)					$	(22)

(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.

(2)    See note 10.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table presents a reconciliation of the beginning and ending balances for all financial assets and liabilities measured at fair value on a recurring basis using Level 3 inputs:

									Assets																																				Liabilities
s									Available For Sale																		Fair Value Option																		Fair Value
									Corporate Bonds						Short-term Investments												Other Investments						Short-term Investments						Equity Securities						Equity Securities						Other Liabilities
Three Months Ended September 30, 2024
Balance at beginning of period									$	160					$	97											$	144					$	14					$	4					$	6					$	(35)
Total gains or (losses) (realized/unrealized)
Included in earnings (1)									—						—												—						—						—						—						(1)
Included in other comprehensive income									—						—												—						—						—						—						—
Purchases, issuances, sales and settlements
Purchases									—						—												39						5						—						—						—
Issuances (2)									—						—												—						—						—						—						(9)
Sales									—						—												(2)						—						—						—						—
Settlements									(19)						—												(14)						(4)						—						—						2
Transfers in and/or out of Level 3									—						—												123						—						—						—						—
Balance at end of period									$	141					$	97											$	290					$	15					$	4					$	6					$	(43)
Three Months Ended September 30, 2023
Balance at beginning of period									$	100					$	—											$	86					$	—					$	4					$	5					$	(19)
Total gains or (losses) (realized/unrealized)
Included in earnings (1)									—						—												—						—						—						—						—
Included in other comprehensive income									(1)						—												—						—						—						—						—
Purchases, issuances, sales and settlements
Purchases									25						—												29						4						—						—						—
Issuances									—						—												—						—						—						—						(4)
Sales									—						—												(6)						—						—						—						—
Settlements									—						—												(9)						—						—						—						2
Transfers in and/or out of Level 3									—						—												—						—						—						—						—
Balance at end of period									$	124					$	—											$	100					$	4					$	4					$	5					$	(21)
Nine Months Ended September 30, 2024
Balance at beginning of year									$	147					$	84											$	106					$	10					$	4					$	5					$	(22)
Total gains or (losses) (realized/unrealized)
Included in earnings (1)									—						—												(4)						—						—						—						(1)
Included in other comprehensive income									2						1												—						—						—						—						—
Purchases, issuances, sales and settlements
Purchases									98						12												99						15						—						1						—
Issuances (2)									—						—												—						—						—						—						(22)
Sales									—						—												(4)						—						—						—						—
Settlements									(106)						—												(30)						(10)						—						—						2
Transfers in and/or out of Level 3									—						—												123						—						—						—						—
Balance at end of period									$	141					$	97											$	290					$	15					$	4					$	6					$	(43)
Nine Months Ended September 30, 2023
Balance at beginning of year									$	121					$	—											$	33					$	—					$	4					$	4					$	(14)
Total gains or (losses) (realized/unrealized)
Included in earnings (1)									1						—												(1)						—						—						—						—
Included in other comprehensive income									(1)						—												—						—						—						—						—
Purchases, issuances, sales and settlements
Purchases									68						—												87						4						—						1						—
Issuances									—						—												—						—						—						—						(9)
Sales									—						—												(10)						—						—						—						—
Settlements									(65)						—												(9)						—						—						—						2
Transfers in and/or out of Level 3									—						—												—						—						—						—						—
Balance at end of period									$	124					$	—											$	100					$	4					$	4					$	5					$	(21)

(1)    Gains or losses were included in net realized gains (losses).

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Financial Instruments Disclosed, But Not Carried, At Fair Value

The Company uses various financial instruments in the normal course of its business. The carrying values of cash, accrued investment income, receivable for securities sold, certain other assets, payable for securities purchased and certain other liabilities approximated their fair values at September 30, 2024, due to their respective short maturities. As these financial instruments are not actively traded, their respective fair values are classified within Level 2.

At September 30, 2024, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $2.7 billion and had a fair value of $2.6 billion. At December 31, 2023, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $2.7 billion and had a fair value of $2.5 billion. The fair values of the senior notes were obtained from a third party pricing service and are based on observable market inputs. As such, the fair values of the senior notes are classified within Level 2.

10.    Derivative Instruments

The Company’s investment strategy allows for the use of derivative instruments. The Company’s derivative instruments are recorded on its consolidated balance sheets at fair value. The Company utilizes exchange traded U.S. Treasury note, Eurodollar and other futures contracts and commodity futures to manage portfolio duration or replicate investment positions in its portfolios and the Company routinely utilizes foreign currency forward contracts, currency options, index futures contracts and other derivatives as part of its total return objective. In addition, certain of the Company’s investments are managed in portfolios which incorporate the use of foreign currency forward contracts which are intended to provide an economic hedge against foreign currency movements. 

From time to time, the Company purchases to-be-announced mortgage backed securities (“TBAs”) as part of its investment strategy. TBAs represent commitments to purchase a future issuance of agency mortgage backed securities. For the period between purchase of a TBA and issuance of the underlying security, the Company’s position is accounted for as a derivative. The Company purchases TBAs in both long and short positions to enhance investment performance and as part of its overall investment strategy.

The following table summarizes information on the fair values and notional values of the Company’s derivative instruments:

			Estimated Fair Value
			Asset Derivatives (1)						Liability Derivatives (1)						Notional Value (2)
September 30, 2024
Futures contracts			$	70					$	(6)					$	3,030
Foreign currency forward contracts			33						(38)						1,400
Other (3)			44						(37)						423
Total			$	147					$	(81)
December 31, 2023
Futures contracts			$	139					$	(61)					$	3,746
Foreign currency forward contracts			27						(32)						1,224
Other (3)			31						(26)						512
Total			$	197					$	(119)

(1)    The fair value of asset derivatives are included in ‘other assets’ and the fair value of liability derivatives are included in ‘other liabilities.’

(2)    Represents the absolute notional value of all outstanding contracts, consisting of long and short positions.

(3)    Includes swaps, options and other derivatives contracts.

The Company did not hold any derivatives which were designated as hedging instruments at September 30, 2024 or December 31, 2023.

The Company’s derivative instruments can be traded under master netting agreements, which establish terms that apply to all derivative transactions with a counterparty. In the event of a bankruptcy or other stipulated event of default, such agreements provide that the non-defaulting party may elect to terminate all outstanding derivative transactions, in which case all individual derivative positions (loss or gain) with a counterparty are closed out and netted and replaced with a single amount, usually referred to as the termination amount, which is expressed in a single currency. The resulting single net amount, where positive, is payable to the party “in-the-money” regardless of whether or not it is the defaulting party,

unless the parties have agreed that only the non-defaulting party is entitled to receive a termination payment where the net amount is positive and is in its favor. Contractual close-out netting reduces derivatives credit exposure from gross to net exposure.

At September 30, 2024, asset derivatives and liability derivatives of $147 million and $81 million, respectively, were subject to a master netting agreement, compared to $197 million and $119 million, respectively, at December 31, 2023.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Realized and unrealized contract gains or losses on the Company’s derivative instruments are reflected in ‘net realized gains (losses)’ in the consolidated statements of income, as summarized in the following table:

Derivatives not designated as						September 30,
hedging instruments:						2024						2023
Three Months Ended
Net realized gains (losses):
Futures contracts						$	86					$	(87)
Foreign currency forward contracts						31						(20)
Other (1)						8						5
Total						$	125					$	(102)
Nine Months Ended
Net realized gains (losses):
Futures contracts						$	69					$	(73)
Foreign currency forward contracts						32						4
Other (1)						15						8
Total						$	116					$	(61)

(1)    Includes realized gains or losses on swaps, options and other derivatives contracts.

11.    Commitments and Contingencies

Investment Commitments

The Company’s investment commitments, which are primarily related to agreements entered into by the Company to invest in funds and separately managed accounts when called upon, were approximately $4.5 billion at September 30, 2024, compared to $3.6 billion at December 31, 2023.

Interest Paid

Interest paid on the Company’s senior notes and other borrowings was $63 million for the nine months ended September 30, 2024, consistent with $63 million for the 2023 period.

12.    Variable Interest Entities

Bellemeade Re

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

The following table summarizes the total assets of the Bellemeade entities:

						September 30, 2024												December 31, 2023
Bellemeade Entities (Issue Date)						Total VIE Assets																								Coverage Remaining from Reinsurers (1)						Total VIE Assets
2019-1 Ltd. (Mar-19)						$	—																							$	—					$	71
2019-3 Ltd. (Jul-19)						—																								—						99
2021-3 Ltd. (Sep-21)						378																								101						429
2022-1 Ltd. (Jan-22)						216																								17						256
2022-2 Ltd. (Sep-22)						190																								120						201
2023-1 Ltd. (Oct-23)						186																								47						186
2024-1 Ltd. (Aug-24)						163																								41						—
Total						$	1,133																							$	326					$	1,242

(1)     Coverage from a separate panel of reinsurers remaining at September 30, 2024.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

13.    Other Comprehensive Income (Loss)

The following tables present details about amounts reclassified from accumulated other comprehensive income and the tax effects allocated to each component of other comprehensive income (loss):

												Amounts Reclassified from AOCI
						Consolidated Statement of Income						Three Months Ended												Nine Months Ended
Details About						Line Item That Includes						September 30,												September 30,
AOCI Components						Reclassification						2024						2023						2024						2023
Unrealized appreciation (decline) on available-for-sale investments
						Net realized gains (losses)						$	54					$	(104)					$	(38)					$	(345)
						Provision for credit losses						6						—						4						(23)
						Total before tax						60						(104)						(34)						(368)
						Income tax (expense) benefit						—						8						12						24
						Net of tax						$	60					$	(96)					$	(22)					$	(344)

			Before Tax Amount						Tax Expense (Benefit)						Net of Tax Amount
Three Months Ended September 30, 2024
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period			$	736					$	91					$	645
Less reclassification of net realized gains (losses) included in net income			60						—						60
Foreign currency translation adjustments			25						—						25
Other comprehensive income (loss)			$	701					$	91					$	610
Three Months Ended September 30, 2023
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period			$	(208)					$	(18)					$	(190)
Less reclassification of net realized gains (losses) included in net income			(104)						(8)						(96)
Foreign currency translation adjustments			(40)						—						(40)
Other comprehensive income (loss)			$	(144)					$	(10)					$	(134)
Nine Months Ended September 30, 2024
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period			$	549					$	71					$	478
Less reclassification of net realized gains (losses) included in net income			(34)						(12)						(22)
Foreign currency translation adjustments			(24)						—						(24)
Other comprehensive income (loss)			$	559					$	83					$	476
Nine Months Ended September 30, 2023
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period			$	(131)					$	(13)					$	(118)
Less reclassification of net realized gains (losses) included in net income			(368)						(24)						(344)
Foreign currency translation adjustments			(33)						—						(33)
Other comprehensive income (loss)			$	204					$	11					$	193

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

14.    Income Taxes

The Company’s income tax provision on income before income taxes, including income (loss) from operating affiliates, resulted in an effective tax rate of 8.1% for the nine months ended September 30, 2024, compared to 8.8% for the nine months ended September 30, 2023. The Company’s effective tax rate, which is based upon the expected annual effective tax rate, may fluctuate from period to period based on the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction.

The Company had a net deferred tax asset of $1.5 billion at September 30, 2024, compared to a net deferred tax asset of $1.6 billion at December 31, 2023. In addition, the Company paid $221 million of income taxes for the nine months ended September 30, 2024, compared to $127 million of income taxes paid for the nine months ended September 30, 2023.

15.    Legal Proceedings

The Company, in common with the insurance industry in general, is subject to litigation and arbitration in the normal course of its business. As of September 30, 2024, the Company was not a party to any litigation or arbitration which is expected by management to have a material adverse effect on the Company’s results of operations and financial condition and liquidity.

16.    Transactions with Related Parties

Premia Reinsurance Ltd. is a multi-line Bermuda reinsurance company (and its affiliates together with Premia Holdings Ltd., “Premia”). The Company has entered into certain reinsurance transactions with Premia. For the nine months ended September 30, 2024, the Company recorded an immaterial amount of net premiums written and earned, compared to $80 million for the nine months ended September 30, 2023. At September 30, 2024, the Company recorded a funds held asset from Premia of $137 million, compared to $158 million at December 31, 2023.

Somers Group Holdings Ltd. and its wholly owned subsidiaries (collectively, “Somers”) are wholly owned by Greysbridge. The Company has entered into certain reinsurance transactions with Somers. For the nine months ended September 30, 2024, the Company’s net premiums written was reduced by $581 million, compared to $457 million for the nine months ended September 30, 2023. In addition, Somers paid certain acquisition costs and administrative fees to the Company. At September 30, 2024, the Company recorded a reinsurance recoverable on unpaid and paid losses from Somers of $1.6 billion and a reinsurance balance payable to Somers of $546 million, compared to $1.3 billion and $475 million, respectively, at December 31, 2023.

Under the terms of the Greysbridge equity financing, beginning January 1, 2024, the Company has a call right (but not the obligation) and Warburg Pincus LLC (“Warburg”) and Kelso & Company (“Kelso”) each have a put right (but not the obligation) to buy/sell one third of their initial shares annually at the current year end tangible book value per share of Greysbridge. During the 2024 third quarter, Warburg and Kelso both delivered a put option notice to sell one third of their initial shares. The transaction is expected to occur in the first half of the 2025 calendar year, subject to any required regulatory approvals. In association with the put/call notice at September 30, 2024, the Company’s balance sheet reflected $261 million in both other assets and other liabilities.

During the third quarter, the Company completed the acquisition of Watford Insurance Company from Somers for a total consideration paid of $35 million.

17.    Subsequent Events

Hurricane Milton

The Company estimates that its 2024 fourth quarter results will be negatively impacted by Hurricane Milton, which occurred in October 2024. The Company currently estimates that the losses will be in a range of $275 million to $375 million, net of reinsurance and reinstatement premiums. This pre-tax preliminary loss estimate is based on industry insured losses ranging from $25 billion to $35 billion. The Company’s preliminary estimate for Hurricane Milton is based on currently available information derived from modeling techniques, industry assessments of exposure, preliminary claims information obtained from the Company’s clients and brokers to date and a review of in-force contracts. The Company’s actual losses from this event may vary materially from the estimates due to the inherent uncertainties in making such determinations.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Letter of Credit Facility Agreement

On October 30, 2024, Arch Reinsurance Ltd. (“Arch Re Bermuda”), a wholly-owned subsidiary of Arch Capital, entered into Amendment No. 4 to Letter of Credit Facility Agreement (“Amendment No. 4”), as the borrower with Lloyds Bank Corporate Markets plc, as Administrative Agent and L/C Agent, which amends the Letter of Credit Facility Agreement, dated as of November 3, 2020, as amended by Amendment No. 1 to Letter of Credit Facility Agreement dated as of October 29, 2021, as further amended by Amendment No. 2 and Joinder to Letter of Credit Facility Agreement dated as of October 27, 2022, and as further amended by Amendment No. 3 and Joinder to Letter of Credit Facility Agreement dated as of October 25, 2023 (the “Existing L/C Agreement”).

The Existing L/C Agreement, as amended by Amendment No. 4, provides for a $700 million facility for letters of credit, the size of which was increased by $170 million, from $530 million. As of October 31, 2024 $700 million face amount of letters of credit had been issued under the facility.

Special Cash Dividend

On November 7, 2024, the Company’s Board of Directors declared a special cash dividend of $1.9 billion to common shareholders, representing $5.00 per outstanding common share payable on December 4, 2024 to common shareholders of record on November 18, 2024.

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ITEM 2.     MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

The following is a discussion and analysis of our financial condition and results of operations. This should be read in conjunction with our consolidated financial statements included in Item 1 of this report and also our Management’s Discussion and Analysis of Financial Condition and Results of Operations contained in our Annual Report on Form 10-K for the year ended December 31, 2023 (“2023 Form 10-K”). In addition, readers should review “Risk Factors” set forth in Item 1A of Part I of our 2023 Form 10-K and “ITEM 1A—Risk Factors” of this Form 10-Q. All amounts are in millions, except per share amounts, unless otherwise noted.

Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “Arch”, “we”, “our” or “us”) is a publicly listed Bermuda exempted company with approximately $25.0 billion in capital at September 30, 2024 and, through operations in Bermuda, the United States, Europe, Canada and Australia, writes insurance, reinsurance and mortgage insurance on a worldwide basis.

									Page No.
Current Outlook									40
Financial Measures									40
Comment on Non-GAAP Financial Measures									41
Results of Operations									43
			Insurance Segment						43
			Reinsurance Segment						46
			Mortgage Segment						48
			Corporate						51
Critical Accounting Policies, Estimates and Recent Accounting Pronouncements									52
Financial Condition									52
Liquidity									58
Capital Resources									58
Catastrophic and Severe Economic Events									60
Market Sensitive Instruments and Risk Management									61

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CURRENT OUTLOOK

As we near the end of 2024 and look ahead to 2025, our core objective to deliver long term value for our shareholders remains unchanged. We will continue to execute on the key pillars of our strategy which are: to build a diversified mix of businesses; actively manage the underwriting cycle; remain prudent stewards of the capital entrusted to us by our shareholders; and be dynamic managers of a data-driven enterprise with a culture that attracts best-in-class talent.

Overall, the property and casualty environment remains very favorable, despite increasing competition in many of our lines of business. This makes underwriting and risk mitigation increasingly important. Our underwriting strategies empower our businesses to respond quickly to their trading environment. This has been, and remains, a competitive advantage as we pursue those opportunities with the best risk-adjusted returns.

A high level of industry catastrophic losses through the third and fourth quarters should continue to support demand for property insurance and reinsurance. Notwithstanding this increased activity, we believe the property market remains attractive where disciplined underwriters can produce attractive returns. On the casualty side, we believe that rates are continuing to outpace loss cost trends, and have selectively increased casualty writings in both the insurance and reinsurance segments.

Our property and casualty underwriting teams continued to benefit from attractive market conditions, delivering a combined $269 million of underwriting income and over $5 billion of gross premiums written, up 22% from the 2023 third quarter.

Our reinsurance segment contributed $149 million of underwriting income in the 2024 third quarter, despite the higher frequency of catastrophic events. As noted last quarter, due to our view of heightened overall storm risk this year, we chose to not grow our property catastrophe writings at mid-year renewals. Growth was driven by property excluding property catastrophe, including our treaty and facultative businesses, casualty and other specialty lines.

Our insurance segment contributed $120 million of underwriting income in the 2024 third quarter. On August 1, 2024, we completed the MCE Acquisition as described in note 2. As such, the insurance segment’s 2024 third quarter results include two months of activity related to the acquired business. This acquisition expands our capabilities for insureds in the middle markets and represents an important component of our growth story in insurance. Excluding the MCE Acquisition, insurance growth was in the mid-single digits and included attractive opportunities in casualty, programs and our London market specialty businesses.

Premium rates remained competitive in E&S property and professional lines.

Our mortgage segment continued to deliver a steady level of earnings for our shareholders, generating $269 million of underwriting income in the 2024 third quarter. While new originations remain tempered by relatively high mortgage interest rates, underlying fundamentals remained strong and our U.S. market share was stable as industry pricing discipline held. The persistency of our in force U.S. primary mortgage insurance portfolio remained a healthy 82.9% and the delinquency rate remained low.

FINANCIAL MEASURES

Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for Arch Capital’s common shareholders:

Book Value per Share

Book value per share represents total common shareholders’ equity available to Arch divided by the number of common shares outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver of Arch Capital’s share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price. Book value per share was $57.00 at September 30, 2024, compared to $52.75 at June 30, 2024, and $38.62 at September 30, 2023. The 8.1% increase in book value per share for the 2024 third quarter reflected strong investment results.

Operating Return on Average Common Equity

Operating return on average common equity (“Operating ROAE”) represents annualized after-tax operating income available to Arch common shareholders divided by the average of beginning and ending common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common shareholders, a non-GAAP financial measure as defined in Regulation G, represents net income available to Arch common shareholders, excluding net realized gains or losses (which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses,

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transaction costs and other and income taxes. Management uses Operating ROAE as a key measure of the return generated to common shareholders. See “Comment on Non-GAAP Financial Measures.”

Our annualized net income return on average common equity was 19.0% for the 2024 third quarter, compared to 20.2% for the 2023 third quarter, and 22.9% for the nine months ended September 30, 2024, compared to 20.9% for the 2023 period. Our Operating ROAE was 14.8% for the 2024 third quarter, compared to 24.8% for the 2023 third quarter, and 18.3% for the nine months ended September 30, 2024, compared to 22.7% for the 2023 period. Operating ROAE for the 2024 periods reflected strong underwriting results along with growth in net investment income.

Total Return on Investments

Total return on investments, a non-GAAP financial measure as defined in Regulation G, includes investment income, equity in net income or loss of investment funds accounted for using the equity method, net realized gains or losses attributable to the investment portfolio and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. The following table summarizes our total return compared to the benchmark return against which we measured our portfolio during the periods. See “Comment on Non-GAAP Financial Measures.”

			Arch Portfolio						Benchmark Return
Pre-tax total return (before investment expenses):
2024 Third Quarter			3.97		%				4.24		%
2023 Third Quarter			(0.40)		%				(0.36)		%
Nine Months Ended September 30, 2024			6.20		%				6.40		%
Nine Months Ended September 30, 2023			2.68		%				2.97		%

Total return for the 2024 periods primarily reflected the effects of sustained higher interest rates available in the market, along with growth in invested assets due in part to strong operating cash flows. We continue to maintain a relatively short duration on our portfolio of 2.68 years at September 30, 2024, with average credit ratings of “AA-” from Standard & Poor’s Rating Services (“S&P”) and “Aa3” from Moody’s Investors Service (“Moody’s).

The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality while also matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. Although the estimated duration and average credit quality of this index will move as

the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index except to incorporate changes to the mix of liability currencies and durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. The index is intended solely to provide a relatively stable basket of investable indices, unlike many master indices that change based on the size of their constituent indices. At September 30, 2024, the benchmark return index had an estimated duration of 2.50 years and an average credit quality of “A1” by Moody’s.

The benchmark return index included weightings to the following indices:

			%
ICE BofA 1-10 Year U.S. Corporate Index			27.70
Yield on 3-5 Year U.S. Treasury Index plus 6%			17.00
ICE BofA 1-10 Year U.S. Treasury Index			15.00
JPM CLOIE Investment Grade			6.00
ICE BofA U.S. High Yield Constrained Index			6.00
ICE BofA 1-5 Year U.K. Gilt Index			5.25
S&P 500 Total Return Index			4.75
ICE BofA U.S. ABS & CMBS Index			4.50
ICE BofA German Government 1-5 Year Index			3.25
ICE BofA German Government 5-7 Year Index			0.60
ICE BofA 0-3 Month U.S. Treasury Index			3.00
ICE BofA 1-5 Year Canada Government Index			2.55
ICE BofA 15+ Year Canada Government Index			0.30
ICE BofA 1-5 Year Australia Government Index			2.35
ICE BofA U.S. Mortgage Backed Securities Index			1.50
ICE BofA 1-5 Year Japan Government Index			0.25
Total			100.00		%

COMMENT ON NON-GAAP FINANCIAL MEASURES

Throughout this filing, we present our operations in the way that we believe will be the most meaningful and useful to investors, analysts, rating agencies and others who use our financial information in evaluating the performance of our company. This presentation includes the use of after-tax operating income available to Arch common shareholders, which is defined as net income available to Arch common shareholders, excluding net realized gains or losses (which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, income taxes, and the use of

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annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under “Results of Operations” below.

We believe that net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other in any particular period are not indicative of the performance of, or trends in, our business. Although net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method and net foreign exchange gains or losses are an integral part of our operations, the decision to realize these items, are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Certain users of our financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in the allowance for credit losses and net impairment losses recognized in earnings on our investments represent other-than-temporary declines in expected recovery values on securities without actual realization. Furthermore, we exclude net realized gains or losses from the acquisition or disposition of subsidiaries, due to their non-recurring nature, such items are not indicative of the performance of, or trends in, our business performance.

The use of the equity method on certain of our investments is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on our proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). This method of accounting is different from the way that we account for our other investments and the timing of the recognition of equity in net income or loss of investment funds accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments.

Transaction costs and other include integration, advisory, financing, legal, severance, incentive compensation and all other transaction costs directly related to acquisitions. We believe that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, our business performance.

We believe that showing net income available to Arch common shareholders exclusive of the items referred to

above reflects the underlying fundamentals of our business since we evaluate the performance of and manage our business to produce an underwriting profit. In addition to presenting the net income available to Arch common shareholders, we believe that this presentation enables investors and other users of our financial information to analyze our performance in a manner similar to how management analyzes performance. We also believe that this measure follows industry practice and, therefore, allows the users of financial information to compare our performance with our industry peer group. We believe that the equity analysts and certain rating agencies which follow us and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.

Our segment information includes the presentation of consolidated underwriting income or loss. Such measures represent the pre-tax profitability of our underwriting operations and include net premiums earned plus other underwriting income, less losses and loss adjustment expenses, acquisition expenses and other operating expenses. Other operating expenses include those operating expenses that are incremental and/or directly attributable to our individual underwriting operations. Underwriting income or loss does not include certain income and expense items which are included in corporate. While these measures are presented in note 5, “Segment Information,” of the notes accompanying our consolidated financial statements, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis, in accordance with Regulation G, is shown in note 5, “Segment Information” of the notes accompanying our consolidated financial statements.

We measure segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangibles and, accordingly, investment income and other non-underwriting related items are not allocated to each underwriting segment.

Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments.

Total return on investments includes investment income, equity in net income or loss of investment funds accounted for using the equity method, net realized gains or losses

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(excluding changes in the allowance for credit losses on non-investment related financial assets) and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. There is no directly comparable GAAP financial measure for total return. Management uses total return on investments as a key measure of the return generated to Arch common shareholders, and compares the return generated by our investment portfolio against benchmark returns during the periods.

RESULTS OF OPERATIONS

The following table summarizes our consolidated financial data, including a reconciliation of net income or loss available to Arch common shareholders to after-tax operating income or loss available to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”

			Three Months Ended												Nine Months Ended
			September 30,												September 30,
			2024						2023						2024			2023
Net income available to Arch common shareholders			$	978					$	713					$	3,347		$	2,079
Net realized (gains) losses (1)			(169)						248						(358)			354
Equity in net (income) loss of investment funds accounted for using the equity method			(171)						(59)						(437)			(176)
Net foreign exchange (gains) losses			63						(22)						31			2
Transaction costs and other			30						1						55			2
Income tax expense (benefit) (2)			31						(5)						38			(5)
After-tax operating income available to Arch common shareholders			$	762					$	876					$	2,676		$	2,256
Beginning common shareholders’ equity			$	19,835					$	13,811					$	17,523		$	12,080
Ending common shareholders’ equity			21,444						14,409						21,444			14,409
Average common shareholders’ equity			$	20,640					$	14,110					$	19,484		$	13,245
Annualized net income return on average common equity %			19.0						20.2						22.9			20.9
Annualized operating return on average common equity %			14.8						24.8						18.3			22.7

(1)    Net realized gains or losses include realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries.

(2)    Income tax expense on net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.

Segment Information

We classify our businesses into three underwriting segments: insurance, reinsurance and mortgage. Our insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to our chief operating decision makers. The Chief Executive Officer and the Chief Financial Officer and Treasurer are the Company’s chief operating decision makers. They do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and accordingly, investment income is not allocated to each underwriting segment.

We determined our reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of our consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.

Insurance Segment

The Company’s insurance segment primarily consists of commercial insurance lines of business, with a focus on specialty insurance products. These products are mainly offered in North America, Bermuda, the United Kingdom, continental Europe and Australia. Products offered in North America include: commercial automobile; commercial multi-peril; other liability—claims made, which includes financial and professional lines; other liability—occurrence, which includes admitted and excess and surplus casualty lines; property and short-tail specialty; workers compensation; and other. Products offered across the Company’s International units include: property and short-tail specialty; and casualty and other.

ARCH CAPITAL			43			2024 THIRD QUARTER FORM 10-Q

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The following tables set forth our insurance segment’s underwriting results:

			Three Months Ended September 30,
			2024						2023						% Change
Gross premiums written			$	2,341					$	2,043					14.6
Premiums ceded			(521)						(521)
Net premiums written			1,820						1,522						19.6
Change in unearned premiums			(55)						(110)
Net premiums earned			1,765						1,412						25.0
Losses and loss adjustment expenses			(1,087)						(812)
Acquisition expenses			(308)						(269)
Other operating expenses			(250)						(202)
Underwriting income (loss)			$	120					$	129					(7.0)
Underwriting Ratios															% Point Change
Loss ratio			61.6		%				57.5		%				4.1
Acquisition expense ratio			17.4		%				19.1		%				(1.7)
Other operating expense ratio			14.1		%				14.3		%				(0.2)
Combined ratio			93.1		%				90.9		%				2.2

			Nine Months Ended September 30,
			2024						2023						% Change
Gross premiums written			$	6,569					$	5,977					9.9
Premiums ceded			(1,649)						(1,564)
Net premiums written			4,920						4,413						11.5
Change in unearned premiums			(226)						(416)
Net premiums earned			4,694						3,997						17.4
Losses and loss adjustment expenses			(2,789)						(2,276)
Acquisition expenses			(872)						(778)
Other operating expenses			(718)						(592)
Underwriting income (loss)			$	315					$	351					(10.3)
Underwriting Ratios															% Point Change
Loss ratio			59.4		%				57.0		%				2.4
Acquisition expense ratio			18.6		%				19.5		%				(0.9)
Other operating expense ratio			15.3		%				14.8		%				0.5
Combined ratio			93.3		%				91.3		%				2.0

Premiums Written.

The following tables set forth our insurance segment’s net premiums written by major line of business:

			Three Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
North America
Property and short-tail specialty			$	296					16.3						$	272					17.9
Other liability - occurrence			253						13.9						141						9.3
Other liability - claims made			228						12.5						240						15.8
Commercial multi-peril			163						9.0						67						4.4
Workers compensation			147						8.1						134						8.8
Commercial automobile			134						7.4						111						7.3
Other			81						4.5						81						5.3
Total North America			1,302						71.5						1,046						68.7
International
Property and short-tail specialty			$	277					15.2						$	263					17.3
Casualty and other			241						13.2						213						14.0
Total International			518						28.5						476						31.3
Total			$	1,820					100.0						$	1,522					100.0

2024 Third Quarter versus 2023 Period. Gross premiums written by the insurance segment in the 2024 third quarter were 14.6% higher than in the 2023 third quarter, while net premiums written were 19.6% higher than in the 2023 third quarter (5.8% excluding the MCE Acquisition). Growth in net premiums written included the impact of the MCE Acquisition and also reflected an increase in other liability—occurrence due, in part, to new business opportunities and rate changes.

			Nine Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
North America
Property and short-tail specialty			$	856					17.4						$	831					18.8
Other liability - occurrence			660						13.4						487						11.0
Other liability - claims made			643						13.1						623						14.1
Commercial multi-peril			266						5.4						150						3.4
Workers compensation			402						8.2						386						8.7
Commercial automobile			369						7.5						296						6.7
Other			225						4.6						226						5.1
Total North America			3,421						69.5						2,999						68.0
International
Property and short-tail specialty			$	805					16.4						$	797					18.1
Casualty and other			694						14.1						617						14.0
Total International			1,499						30.5						1,414						32.0
Total			$	4,920					100.0						$	4,413					100.0

ARCH CAPITAL			44			2024 THIRD QUARTER FORM 10-Q

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Nine Months Ended September 30, 2024 versus 2023 period. Gross premiums written by the insurance segment for the nine months ended September 30, 2024 were 9.9% higher than in the 2023 period, while net premiums written were 11.5% higher than in the 2023 period (6.8% excluding the MCE Acquisition). Growth in net premiums written reflected the impact of the MCE Acquisition along with an increases in most lines of business due in part to new business opportunities and rate changes.

Net Premiums Earned.

The following tables set forth our insurance segment’s net premiums earned by major line of business:

			Three Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
North America
Property and short-tail specialty			$	306					17.3						$	247					17.5
Other liability - occurrence			265						15.0						152						10.8
Other liability - claims made			213						12.1						225						15.9
Commercial multi-peril			146						8.3						51						3.6
Workers compensation			135						7.6						127						9.0
Commercial automobile			122						6.9						97						6.9
Other			79						4.5						71						5.0
Total North America			1,266						71.7						970						68.7
International
Property and short-tail specialty			$	276					15.6						$	237					16.8
Casualty and other			223						12.6						205						14.5
Total International			499						28.3						442						31.3
Total			$	1,765					100.0						$	1,412					100.0

			Nine Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
North America
Property and short-tail specialty			$	833					17.7						721						18.0
Other liability - occurrence			615						13.1						447						11.2
Other liability - claims made			633						13.5						645						16.1
Commercial multi-peril			246						5.2						144						3.6
Workers compensation			394						8.4						363						9.1
Commercial automobile			329						7.0						247						6.2
Other			235						5.0						214						5.4
Total North America			3,285						70.0						2,781						69.6
International
Property and short-tail specialty			$	762					16.2						640						16.0
Casualty and other			647						13.8						576						14.4
Total International			1,409						30.0						1,216						30.4
Total			$	4,694					100.0						$	3,997					100.0

Net premiums written are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Net premiums earned reflect changes in net premiums written over the previous five quarters. Net premiums earned for the 2024 third quarter were 25.0% higher than in the 2023 third quarter (8.8% excluding the MCE Acquisition) while net premiums earned for the nine months ended September 30, 2024 were 17.4% higher than in the 2023 period (11.7% excluding the MCE Acquisition).

Losses and Loss Adjustment Expenses.

The table below shows the components of the insurance segment’s loss ratio:

			Three Months Ended												Nine Months Ended
			September 30,												September 30,
			2024						2023						2024						2023
Current year			62.5		%				58.2		%				60.0		%				57.8		%
Prior period reserve development			(0.9)		%				(0.7)		%				(0.6)		%				(0.8)		%
Loss ratio			61.6		%				57.5		%				59.4		%				57.0		%

Current Year Loss Ratio.

2024 Third Quarter versus 2023 Period. The insurance segment’s current year loss ratio in the 2024 third quarter was 4.3 points higher than in the 2023 third quarter. The 2024 third quarter loss ratio reflected 4.9 points of current year catastrophic activity, primarily related to Hurricane Helene, compared to 2.6 points of catastrophic activity in the 2023 third quarter. The current year loss ratio for the 2024 third quarter also reflected the impact of rate increases and changes in mix of business.

Nine Months Ended September 30, 2024 versus 2023 Period. The insurance segment’s current year loss ratio for the nine months ended September 30, 2024 was 2.2 points higher than in the 2023 period and reflected 3.0 points of current year catastrophic activity, spread across series of global events, compared to 2.3 points in the 2023 period. The current year loss ratio for the 2024 period included activity related to the Baltimore bridge collapse and also reflected the impact of rate increases and changes in mix of business.

ARCH CAPITAL			45			2024 THIRD QUARTER FORM 10-Q

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Prior Period Reserve Development.

The insurance segment’s net favorable development was $16 million, or 0.9 points, for the 2024 third quarter, compared to $10 million, or 0.7 points, for the 2023 third quarter, and $31 million, or 0.6 points, for the nine months ended September 30, 2024, compared to $34 million, or 0.8 points, for the 2023 period. See note 6, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements for information about the insurance segment’s prior year reserve development.

Underwriting Expenses.

2024 Third Quarter versus 2023 Period. The insurance segment’s underwriting expense ratio was 31.5% in the 2024 third quarter, compared to 33.4% in the 2023 third quarter. The impact of the MCE Acquisition lowered the underwriting expense ratio by approximately 2.5 points, primarily due to the effects of the fair value estimation of the assets acquired at closing, including the non-recognition of deferred acquisition costs. The value of policies in force at closing are considered within the value of business acquired which is amortized through ‘amortization of intangible assets.’ The underwriting expense ratio also benefited from an initial lower level of operating expenses in the acquired business.

Nine Months Ended September 30, 2024 versus 2023 period. The insurance segment’s underwriting expense ratio was 33.9% for the nine months ended September 30, 2024, compared to 34.3% for the 2023 period and reflected the impact of the MCE Acquisition mentioned above.

Reinsurance Segment 

The Company’s reinsurance segment offers reinsurance products on a worldwide basis. Lines of business include: casualty; marine and aviation; other specialty; property catastrophe; property excluding property catastrophe; and other.

The following tables set forth our reinsurance segment’s underwriting results:

			Three Months Ended September 30,
			2024						2023						% Change
Gross premiums written			$	2,763					$	2,138					29.2
Premiums ceded			(818)						(576)
Net premiums written			1,945						1,562						24.5
Change in unearned premiums			(53)						(19)
Net premiums earned			1,892						1,543						22.6
Other underwriting income (loss)			2						2
Losses and loss adjustment expenses			(1,317)						(870)
Acquisition expenses			(374)						(304)
Other operating expenses			(54)						(61)
Underwriting income (loss)			$	149					$	310					(51.9)
Underwriting Ratios															% Point Change
Loss ratio			69.6		%				56.4		%				13.2
Acquisition expense ratio			19.8		%				19.7		%				0.1
Other operating expense ratio			2.9		%				3.9		%				(1.0)
Combined ratio			92.3		%				80.0		%				12.3

			Nine Months Ended September 30,
			2024						2023						% Change
Gross premiums written			$	9,171					$	7,142					28.4
Premiums ceded			(3,013)						(2,145)
Net premiums written			6,158						4,997						23.2
Change in unearned premiums			(820)						(781)
Net premiums earned			5,338						4,216						26.6
Other underwriting income (loss)			5						9
Losses and loss adjustment expenses			(3,206)						(2,379)
Acquisition expenses			(1,050)						(875)
Other operating expenses			(193)						(203)
Underwriting income (loss)			$	894					$	768					16.4
Underwriting Ratios															% Point Change
Loss ratio			60.1		%				56.4		%				3.7
Acquisition expense ratio			19.7		%				20.7		%				(1.0)
Other operating expense ratio			3.6		%				4.8		%				(1.2)
Combined ratio			83.4		%				81.9		%				1.5

ARCH CAPITAL			46			2024 THIRD QUARTER FORM 10-Q

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Premiums Written.

The following tables set forth our reinsurance segment’s net premiums written by major line of business:

			Three Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
Other specialty			$	769					39.5						$	527					33.7
Property excluding property catastrophe			671						34.5						593						38.0
Casualty			339						17.4						273						17.5
Marine and aviation			69						3.5						54						3.5
Property catastrophe			52						2.7						76						4.9
Other			45						2.3						39						2.5
Total			$	1,945					100.0						$	1,562					100.0

2024 Third Quarter versus 2023 Period. Gross premiums written by the reinsurance segment in the 2024 third quarter were 29.2% higher than in the 2023 third quarter, while net premiums written were 24.5% higher. The growth in net premiums written reflected increases in most lines of business, due in part to rate increases, new business opportunities and growth in existing accounts.

			Nine Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
Other specialty			$	2,148					34.9						$	1,625					32.5
Property excluding property catastrophe			1,823						29.6						1,496						29.9
Casualty			943						15.3						787						15.7
Marine and aviation			257						4.2						208						4.2
Property catastrophe			874						14.2						802						16.0
Other			113						1.8						79						1.6
Total			$	6,158					100.0						$	4,997					100.0

Nine Months Ended September 30, 2024 versus 2023 period. Gross premiums written by the reinsurance segment for the nine months ended September 30, 2024 were 28.4% higher than in the 2023 period, while net premiums written were 23.2% higher than in the 2023 period. The growth in net premiums written reflected increases in all lines of business due in part to rate increases, new business opportunities and growth in existing accounts.

Net Premiums Earned.

The following tables set forth our reinsurance segment’s net premiums earned by major line of business:

			Three Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
Other specialty			$	688					36.4						$	505					32.7
Property excluding property catastrophe			540						28.5						449						29.1
Casualty			282						14.9						264						17.1
Marine and aviation			80						4.2						66						4.3
Property catastrophe			256						13.5						219						14.2
Other			46						2.4						40						2.6
Total			$	1,892					100.0						$	1,543					100.0

			Nine Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
Other specialty			$	1,934					36.2						$	1,499					35.6
Property excluding property catastrophe			1,546						29.0						1,161						27.5
Casualty			798						14.9						775						18.4
Marine and aviation			214						4.0						173						4.1
Property catastrophe			736						13.8						527						12.5
Other			110						2.1						81						1.9
Total			$	5,338					100.0						$	4,216					100.0

Net premiums written, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Net premiums earned reflect changes in net premiums written over the previous five quarters. Net premiums earned for the 2024 third quarter were 22.6% higher than in the 2023 third quarter, while net premiums earned for the nine months ended September 30, 2024 were 26.6% higher than in the 2023 period.

Other Underwriting Income (Loss).

Other underwriting income for the 2024 third quarter was $2 million, consistent with $2 million for the 2023 third quarter, and $5 million for the nine months ended September 30, 2024, compared to $9 million for the 2023 period.

Losses and Loss Adjustment Expenses.

The table below shows the components of the reinsurance segment’s loss ratio:

			Three Months Ended												Nine Months Ended
			September 30,												September 30,
			2024						2023						2024						2023
Current year			71.8		%				59.2		%				62.3		%				59.4		%
Prior period reserve development			(2.2)		%				(2.8)		%				(2.2)		%				(3.0)		%
Loss ratio			69.6		%				56.4		%				60.1		%				56.4		%

ARCH CAPITAL			47			2024 THIRD QUARTER FORM 10-Q

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Current Year Loss Ratio.

2024 Third Quarter versus 2023 Period. The reinsurance segment’s current year loss ratio in the 2024 third quarter was 12.6 points higher than in the 2023 third quarter. The 2024 third quarter loss ratio reflected 21.3 points of current year catastrophic activity, related to Hurricane Helene and a series of other global events, compared to 9.7 points of catastrophic activity in the 2023 third quarter. The current year loss ratio for the 2024 third quarter also reflected the impact of rate increases and changes in mix of business.

Nine Months Ended September 30, 2024 versus 2023 Period. The reinsurance segment’s current year loss ratio for the nine months ended September 30, 2024 was 2.9 points higher than in the 2023 period and reflected 11.5 points of current year catastrophic activity, compared to 7.4 points in the 2023 period. The current year loss ratio for the 2024 period included activity related to the Baltimore bridge collapse and also reflected the impact of rate increases and changes in mix of business.

Prior Period Reserve Development.

The reinsurance segment’s net favorable development was $41 million, or 2.2 points, for the 2024 third quarter, compared to $44 million, or 2.8 points, for the 2023 third quarter, and $115 million, or 2.2 points, for the nine months ended September 30, 2024, compared to $126 million, or 3.0 points, for the 2023 period. See note 6, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements for information about the reinsurance segment’s prior year reserve development.

Underwriting Expenses.

2024 Third Quarter versus 2023 Period. The underwriting expense ratio for the reinsurance segment was 22.7% in the 2024 third quarter, compared to 23.6% in the 2023 third quarter. The decrease primarily reflected growth in net premiums earned.

Nine Months Ended September 30, 2024 versus 2023 period. The underwriting expense ratio for the reinsurance segment was 23.3% for the nine months ended September 30, 2024, compared to 25.5% for the 2023 period. The decrease primarily reflected growth in net premiums earned.

Mortgage Segment 

The Company’s mortgage segment consists of U.S. primary mortgage insurance business written predominantly on loans sold to the Federal National Mortgage Association (“Fannie Mae”) and the Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a government sponsored entity ("GSE") and also through non GSE approved entities (combined “Arch MI U.S.”); reinsurance and underwriting services related to U.S. credit-risk transfer (“CRT”) business which are predominately with the GSEs and other U.S. mortgage reinsurance transactions; and international mortgage insurance and reinsurance business covering loans primarily in Australia and Europe.

The following tables set forth our mortgage segment’s underwriting results:

			Three Months Ended September 30,
			2024						2023						% Change
Gross premiums written			$	339					$	347					(2.3)
Premiums ceded			(57)						(76)
Net premiums written			282						271						4.1
Change in unearned premiums			31						22
Net premiums earned			313						293						6.8
Other underwriting income			3						3
Losses and loss adjustment expenses			1						35
Acquisition expenses			1						(2)
Other operating expenses			(49)						(47)
Underwriting income			$	269					$	282					(4.6)
Underwriting Ratios															% Point Change
Loss ratio			(0.4)		%				(12.1)		%				11.7
Acquisition expense ratio			(0.4)		%				0.6		%				(1.0)
Other operating expense ratio			15.6		%				16.2		%				(0.6)
Combined ratio			14.8		%				4.7		%				10.1

			Nine Months Ended September 30,
			2024						2023						% Change
Gross premiums written			$	1,020					$	1,037					(1.6)
Premiums ceded			(185)						(240)
Net premiums written			835						797						4.8
Change in unearned premiums			90						86
Net premiums earned			925						883						4.8
Other underwriting income			15						12
Losses and loss adjustment expenses			37						46
Acquisition expenses			1						(16)
Other operating expenses			(151)						(147)
Underwriting income			$	827					$	778					6.3
Underwriting Ratios															% Point Change
Loss ratio			(4.0)		%				(5.3)		%				1.3
Acquisition expense ratio			(0.1)		%				1.8		%				(1.9)
Other operating expense ratio			16.3		%				16.7		%				(0.4)
Combined ratio			12.2		%				13.2		%				(1.0)

ARCH CAPITAL			48			2024 THIRD QUARTER FORM 10-Q

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Premiums Written.

The following tables set forth our mortgage segment’s net premiums written by major line of business:

			Three Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
U.S. primary mortgage insurance			$	209					74.1						$	190					70.1
U.S. credit risk transfer (CRT) and other			54						19.1						57						21.0
International mortgage insurance/ reinsurance			19						6.7						24						8.9
Total			$	282					100.0						$	271					100.0

2024 Third Quarter versus 2023 Period. Gross premiums written by the mortgage segment in the 2024 third quarter were 2.3% lower than in the 2023 third quarter, while net premiums written were 4.1% higher. The increase in net premiums written in the 2024 third quarter primarily reflected a lower level of Bellemeade premiums ceded, due in part to the termination of certain Bellemeade agreements in the 2023 fourth quarter.

			Nine Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
U.S. primary mortgage insurance			$	612					73.3						$	562					70.5
U.S. credit risk transfer (CRT) and other			161						19.3						164						20.6
International mortgage insurance/ reinsurance			62						7.4						71						8.9
Total			$	835					100.0						$	797					100.0

Nine Months Ended September 30, 2024 versus 2023 Period. Gross premiums written by the mortgage segment for the nine months ended September 30, 2024 were 1.6% lower than in the 2023 period, while net premiums written for the nine months ended September 30, 2024 were 4.8% higher than in the 2023 period. The increase in net premiums written in the 2024 period primarily reflected a lower level of Bellemeade premiums ceded.

The persistency rate was 82.9% for the Arch MI U.S. portfolio of primary mortgage insurance policies at September 30, 2024, compared to 83.9% at September 30, 2023. The persistency rate represents the percentage of mortgage insurance in force at the beginning of a 12 month period that remains in force at the end of such period.

The following tables provide details on the new insurance written (“NIW”) generated by Arch MI U.S. NIW represents the original principal balance of all loans that received coverage during the period.

			Three Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
Total new insurance written (NIW) (1)			$	13,526											$	11,494
Credit quality (FICO):
>=740			$	9,438					69.8						$	7,646					66.5
680-739			3,584						26.5						3,520						30.6
620-679			502						3.7						326						2.8
<620			2						0.0						2						0.0
Total			$	13,526					100.0						$	11,494					100.0
Loan-to-value (LTV):
95.01% and above			$	1,089					8.1						$	880					7.7
90.01% to 95.00%			6,620						48.9						6,306						54.9
85.01% to 90.00%			4,293						31.7						3,126						27.2
85.00% and below			1,524						11.3						1,182						10.3
Total			$	13,526					100.0						$	11,494					100.0
Monthly vs. single:
Monthly			$	12,581					93.0						$	10,712					93.2
Single			945						7.0						782						6.8
Total			$	13,526					100.0						$	11,494					100.0
Purchase vs. refinance:
Purchase			$	13,177					97.4						$	11,334					98.6
Refinance			349						2.6						160						1.4
Total			$	13,526					100.0						$	11,494					100.0

(1)Represents the original principal balance of all loans that received coverage during the period.

			Nine Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
Total new insurance written (NIW) (1)			$	36,661											$	34,180
Credit quality (FICO):
>=740			$	25,528					69.6						$	22,469					65.7
680-739			9,885						27.0						10,842						31.7
620-679			1,243						3.4						863						2.5
<620			5						0.0						6						0.0
Total			$	36,661					100.0						$	34,180					100.0
Loan-to-value (LTV):
95.01% and above			$	2,645					7.2						$	2,034					6.0
90.01% to 95.00%			19,094						52.1						19,204						56.2
85.01% to 90.00%			10,964						29.9						9,414						27.5
85.01% and below			3,958						10.8						3,528						10.3
Total			$	36,661					100.0						$	34,180					100.0
Monthly vs. single:
Monthly			$	34,261					93.5						$	32,688					95.6
Single			2,400						6.5						1,492						4.4
Total			$	36,661					100.0						$	34,180					100.0
Purchase vs. refinance:
Purchase			$	35,932					98.0						$	33,598					98.3
Refinance			729						2.0						582						1.7
Total			$	36,661					100.0						$	34,180					100.0

(1)Represents the original principal balance of all loans that received coverage during the period.

ARCH CAPITAL			49			2024 THIRD QUARTER FORM 10-Q

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Net Premiums Earned.

The following tables set forth our mortgage segment’s net premiums earned by major line of business:

			Three Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
U.S. primary mortgage insurance			$	215					68.7						$	192					65.5
U.S. credit risk transfer (CRT) and other			55						17.6						58						19.8
International mortgage insurance/ reinsurance			43						13.7						43						14.7
Total			$	313					100.0						$	293					100.0

2024 Third Quarter versus 2023 Period. Net premiums earned for the 2024 third quarter were 6.8% higher than in the 2023 third quarter. The increase in net premiums earned in the 2024 third quarter primarily reflected a lower level of Bellemeade premiums ceded, due in part to the termination of certain Bellemeade agreements in the 2023 fourth quarter.

			Nine Months Ended September 30,
			2024												2023
			Amount						%						Amount						%
U.S. primary mortgage insurance			$	630					68.1						$	582					65.9
U.S. credit risk transfer (CRT) and other			162						17.5						165						18.7
International mortgage insurance/ reinsurance			133						14.4						136						15.4
Total			$	925					100.0						$	883					100.0

Nine Months Ended September 30, 2024 versus 2023 Period. For the nine months ended September 30, 2024, net premiums earned were 4.8% higher than in the 2023 period. The increase in net premiums earned in the 2024 period primarily reflected a lower level of Bellemeade premiums ceded.

Other Underwriting Income (Loss).

Other underwriting income, which is primarily related to GSE credit risk-sharing transactions, was $3 million for the 2024 third quarter, consistent with $3 million for the 2023 third quarter.

Losses and Loss Adjustment Expenses.

The table below shows the components of the mortgage segment’s loss ratio:

			Three Months Ended												Nine Months Ended
			September 30,												September 30,
			2024						2023						2024						2023
Current year			20.1		%				19.3		%				19.9		%				22.2		%
Prior period reserve development			(20.5)		%				(31.4)		%				(23.9)		%				(27.5)		%
Loss ratio			(0.4)		%				(12.1)		%				(4.0)		%				(5.3)		%

Current Year Loss Ratio.

2024 Third Quarter versus 2023 Period. The mortgage segment’s current year loss ratio was 0.8 points higher in the 2024 third quarter than in the 2023 third quarter. The 2024 third quarter loss ratio, excluding net favorable development, was slightly higher than in the 2023 third quarter, primarily due to higher new delinquencies in the period.

Nine Months Ended September 30, 2024 versus 2023 Period. The mortgage segment’s current year loss ratio was 2.3 points lower for the nine months ended September 30, 2024 than for the 2023 period. The lower current year loss ratio for the 2024 period reflected a decrease in estimated claim rates, partially offset by slightly higher new delinquencies.

Prior Period Reserve Development.

The mortgage segment’s net favorable development was $64 million, or 20.5 points, for the 2024 third quarter, compared to $92 million, or 31.4 points, for the 2023 third quarter, and $220 million, or 23.9 points, for the nine months ended September 30, 2024, compared to $243 million, or 27.5 points, for the 2023 period. See note 6, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements for information about the mortgage segment’s prior year reserve development.

Underwriting Expenses.

2024 Third Quarter versus 2023 Period. The underwriting expense ratio for the mortgage segment was 15.2% in the 2024 third quarter, compared to 16.8% in the 2023 third quarter. The decrease was primarily due to a higher level of ceding and profit commissions on U.S. primary business, along with a higher level of net premiums earned.

Nine Months Ended September 30, 2024 versus 2023 period. The underwriting expense ratio for the mortgage segment was 16.2% for the nine months ended September 30, 2024, compared to 18.5% for the 2023 period. The decrease was primarily due to a higher level of ceding and profit commissions on U.S. primary business, along with a higher level of net premiums earned.

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Corporate

The Company’s corporate results include net investment income, net realized gains or losses (which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments accounted for using the equity method, other income or loss, corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes, income from operating affiliates and items related to our non-cumulative preferred shares.

Net Investment Income.

The components of net investment income were derived from the following sources:

			Three Months Ended												Nine Months Ended
			September 30,												September 30,
			2024						2023						2024						2023
Fixed maturities			$	340					$	243					$	926					$	645
Short-term investments			38						19						102						48
Equity securities			9						5						27						15
Other (1)			35						22						103						60
Gross investment income			422						289						1,158						768
Investment expenses (2)			(23)						(20)						(68)						(58)
Net investment income			$	399					$	269					$	1,090					710

(1)    Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other items.

(2)        Investment expenses were approximately 0.29% of average invested assets for the 2024 third quarter, compared to 0.30% for the 2023 third quarter, and 0.27% for the nine months ended September 30, 2024, compared to 0.28% for the 2023 period.

The higher level of net investment income for the 2024 periods was primarily related to higher yields available in the financial market. The pre-tax investment income yield, calculated based on amortized cost and on an annualized basis, was 4.40% for the 2024 third quarter, compared to 3.68% for the 2023 third quarter, and 4.29% for the nine months ended September 30, 2024, compared to 3.41% for the 2023 period. Net cash flow from operating activities contributed $5.1 billion for the nine months ended September 30, 2024, which has grown our invested asset base and contributed to the increase in net investment income.

Corporate Expenses.

Corporate expenses were $19 million for the 2024 third quarter, compared to $20 million for the 2023 third quarter, and $88 million for the nine months ended September 30, 2024, compared to $69 million for the 2023 period. Such amounts primarily represent certain holding company costs necessary to support our worldwide operations and costs associated with operating as a publicly traded company. The increase in corporate expenses was primarily due to higher incentive compensation costs.

Transaction Costs and Other.

Transaction costs and other for the 2024 third quarter was $30 million, compared to an immaterial amount for the 2023 third quarter, and $55 million for the nine months ended September 30, 2024, compared to $2 million for the 2023 period. The 2024 period primarily includes direct costs related to the MCE Acquisition.

Other Income or Losses.

Other income for the 2024 third quarter was $8 million, compared to a loss of $4 million for the 2023 third quarter, and income of $30 million for the nine months ended September 30, 2024, compared to $10 million for the 2023 period. Amounts in both periods primarily reflect changes in the cash surrender value of our investment in corporate-owned life insurance.

Amortization of Intangible Assets.

Amortization of intangible assets for the 2024 third quarter was $88 million, compared to $24 million for the 2023 third quarter, and $136 million for the nine months ended September 30, 2024, compared to $71 million for the 2023 period. The increase in the 2024 periods was primarily related to the MCE Acquisition.

Interest Expense.

Interest expense was $35 million for the 2024 third quarter, compared to $34 million for the 2023 third quarter, and $104 million for the nine months ended September 30, 2024, compared to $99 million for the 2023 period. Interest expense primarily reflects amounts related to our outstanding senior notes.

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Net Realized Gains or Losses.

Net realized gains for the 2024 third quarter were $169 million, compared to net realized losses of $248 million for the 2023 third quarter. Net realized gains were $358 million for the nine months ended September 30, 2024, compared to net realized losses of $354 million for the 2023 period. Amounts in all periods reflected sales of investments as well as the impact of financial market movements on the Company’s equity securities and investments accounted for under the fair value option method. Currently, our portfolio is actively managed to maximize total return within certain guidelines. The effect of financial market movements on the investment portfolio will directly impact net realized gains or losses as the portfolio is adjusted and rebalanced. Net realized gains or losses from the sale of fixed maturities primarily results from our decisions to reduce credit exposure, to change duration targets, to rebalance our portfolios or due to relative value determinations.

Net realized gains or losses also include realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries See note 8, “Investment Information—Net Realized Gains (Losses)” and note 8, “Investment Information—Allowance for Expected Credit Losses,” to our consolidated financial statements for additional information.

Equity in Net Income or Losses of Investment Funds Accounted for Using the Equity Method.

Equity in net income of investment funds accounted for using the equity method was $171 million in the 2024 third quarter, compared to $59 million for the 2023 third quarter, and $437 million for the nine months ended September 30, 2024, compared to $176 million for the 2023 period. Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds. Investment funds accounted for using the equity method totaled $5.2 billion at September 30, 2024, compared to $4.6 billion at December 31, 2023. See note 8, “Investment Information—Investments Accounted For Using the Equity Method,” to our consolidated financial statements for additional information.

Net Foreign Exchange Gains or Losses.

Net foreign exchange losses for the 2024 third quarter were $63 million, compared to gains of $22 million for the 2023 third quarter. Net foreign exchange losses for the nine months ended September 30, 2024 were $31 million, compared to losses of $1 million for the 2023 period. Amounts in both periods were primarily unrealized and resulted from the effects of revaluing our net insurance

liabilities required to be settled in foreign currencies at each balance sheet date.

Income Tax Expense.

Our income tax provision on income or loss before income taxes, including income or loss from operating affiliates, resulted in an expense of 9.0% for the 2024 third quarter, compared to an expense of 9.1% for the 2023 third quarter, and an expense of 8.1% for the nine months ended September 30, 2024, compared to an expense of 8.8% for the 2023 period. See note 14, “Income Taxes” to our consolidated financial statements for additional information.

Income or Losses from Operating Affiliates.

Income from operating affiliates for 2024 third quarter was $36 million, compared to income of $54 million for the 2023 third quarter, and income of $136 million for the nine months ended September 30, 2024, compared to income of $115 million for the 2023 period. See note 8, “Investment Information—Investments in Operating Affiliates,” to our consolidated financial statements for additional information.

CRITICAL ACCOUNTING POLICIES,

ESTIMATES AND RECENT ACCOUNTING PRONOUNCEMENTS

Critical accounting policies, estimates and recent accounting pronouncements are discussed in Management’s Discussion and Analysis of Financial Condition and Results of Operations contained in our 2023 Form 10-K, updated where applicable in the notes accompanying our consolidated financial statements, including note 1, “Basis of Presentation and Recent Accounting Pronouncements.”

FINANCIAL CONDITION

Investable Assets Held by Arch 

At September 30, 2024, approximately $27.3 billion, or 64%, of total investable assets held by Arch were internally managed, compared to $21.9 billion, or 63%, at December 31, 2023. See note 8, “Investment Information” to our consolidated financial statements for additional information.

September 30, 2024

December 31, 2023

Average effective duration (in years)

2.68

2.91

Average S&P/Moody’s credit ratings (1)

AA-/Aa3

AA-/Aa3

(1)Average credit ratings on our investment portfolio on securities with ratings assigned by S&P and Moody’s.

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The following table provides the credit quality distribution of our fixed maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.

			Estimated Fair Value						% of Total
September 30, 2024
U.S. government and gov’t agencies (1)			$	6,725					22.8
AAA			4,876						16.5
AA			2,552						8.6
A			5,664						19.2
BBB			7,361						24.9
BB			1,097						3.7
B			534						1.8
Lower than B			37						0.1
Not rated			685						2.3
Total			$	29,531					100.0
December 31, 2023
U.S. government and gov’t agencies (1)			$	6,493					26.8
AAA			4,305						17.8
AA			2,165						8.9
A			4,629						19.1
BBB			5,058						20.9
BB			698						2.9
B			389						1.6
Lower than B			15						0.1
Not rated			484						2.0
Total			$	24,236					100.0

(1)Includes U.S. government-sponsored agency residential mortgage-backed securities and agency commercial mortgage-backed securities.

The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all fixed maturities which were in an unrealized loss position:

Severity of gross unrealized losses:			Estimated Fair Value						Gross Unrealized Losses						% of Total Gross Unrealized Losses
September 30, 2024
0-10%			$	10,013					$	(315)					59.3
10-20%			1,207						(185)						34.8
20-30%			77						(25)						4.7
Greater than 30%			10						(6)						1.1
Total			$	11,307					$	(531)					100.0
December 31, 2023
0-10%			$	10,696					$	(410)					49.7
10-20%			2,282						(367)						44.5
20-30%			116						(35)						4.2
Greater than 30%			26						(13)						1.6
Total			$	13,120					$	(825)					100.0

The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at September 30, 2024, excluding guaranteed amounts and covered bonds:

			Estimated Fair Value						Credit Rating (1)
JPMorgan Chase & Co.			$	412					A-/A1
Morgan Stanley			359						A-/A1
Bank of America Corporation			332						A-/A1
The Goldman Sachs Group, Inc.			263						A-/A2
Citigroup Inc.			257						BBB+/A3
Blue Owl Capital Inc.			246						BBB-/Baa3
Hyundai Motor Company			211						A-/A3
Ford Motor Company			210						BBB-/Ba1
Blackstone Inc.			176						BBB-/Baa2
UBS Group AG			157						A-/A3
Total			$	2,623

(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

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The following table provides information on our structured securities, which includes residential mortgage-backed securities (“RMBS”), commercial mortgage-backed securities (“CMBS”) and asset-backed securities (“ABS”):

			Agencies						Investment Grade						Below Investment Grade						Total
September 30, 2024
RMBS			$	852					$	421					$	40					$	1,313
CMBS			7						1,046						93						1,146
ABS			—						2,824						165						2,989
Total			$	859					$	4,291					$	298					$	5,448
December 31, 2023
RMBS			$	658					$	445					$	—					$	1,103
CMBS			7						1,126						80						1,213
ABS			—						2,143						107						2,250
Total			$	665					$	3,714					$	187					$	4,566

The following table summarizes our equity securities, which include investments in exchange traded funds:

			September 30, 2024						December 31, 2023
Equities (1)			$	1,035					$	739
Exchange traded funds
Fixed income (2)			387						285
Equity and other (3)			208						169
Total			$	1,630					$	1,193

(1)Primarily in technology, consumer non-cyclical, communications, financial and industrial sectors at September 30, 2024.

(2)Primarily in corporate exposures at September 30, 2024.

(3)Primarily in financials, consumer staples, industrials and energy sectors at September 30, 2024.

For details on our other investments and other investable assets, see note 8, “Investment Information—Other Investments” to our consolidated financial statements.

For details on our investments accounted for using the equity method, see note 8, “Investment Information—Investments Accounted For Using the Equity Method,” to our consolidated financial statements.

Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 10, “Derivative Instruments,” to our consolidated financial statements for additional disclosures related to derivatives.

Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 9, “Fair Value,” to our consolidated financial statements for a summary of our financial assets and liabilities measured at fair value, segregated by level in the fair value hierarchy.

Reinsurance

The effects of reinsurance on written and earned premiums and losses and loss adjustment expenses (“LAE”) with unaffiliated reinsurers were as follows:

			Three Months Ended												Nine Months Ended
			September 30,												September 30,
			2024						2023						2024						2023
Premiums written:
Direct			$	2,547					$	2,496					$	7,554					$	7,227
Assumed			2,893						2,031						9,201						6,925
Ceded			(1,393)						(1,172)						(4,842)						(3,945)
Net			$	4,047					$	3,355					$	11,913					$	10,207
Premiums earned:
Direct			$	2,470					$	2,338					$	7,228					$	6,721
Assumed			2,967						2,084						7,825						5,675
Ceded			(1,467)						(1,174)						(4,096)						(3,300)
Net			$	3,970					$	3,248					$	10,957					$	9,096
Losses and LAE:
Direct			$	1,405					$	1,206					$	4,004					$	3,438
Assumed			1,909						1,084						4,369						3,001
Ceded			(911)						(643)						(2,415)						(1,830)
Net			$	2,403					$	1,647					$	5,958					$	4,609

See note 7, “Allowance for Expected Credit Losses,” to our consolidated financial statements for information about our reinsurance recoverables and related allowance for credit losses.

Bellemeade Re

We have entered into aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the “Bellemeade Agreements”). For the respective coverage periods, we will retain the first layer of the respective aggregate losses and the special purpose reinsurance companies will provide second layer coverage up to the outstanding coverage amount. We will then retain losses in excess of the outstanding coverage limit. The aggregate excess of loss reinsurance coverage generally decreases over a ten-year period as the underlying covered mortgages amortize, unless provisional call options embedded within certain of the Bellemeade Agreements are executed or if pre-defined delinquency triggering events occur.

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The following table summarizes the respective coverages and retentions at September 30, 2024:

Bellemeade Entities (Issue Date)			Initial Coverage at Issuance						Current Coverage						Remaining Retention, Net
2021-3 Ltd. (1)			639						479						133
2022-1 Ltd. (2)			317						233						141
2022-2 Ltd. (3)			327						310						201
2023-1 Ltd. (4)			233						233						178
2024-1 Ltd. (5)			204						204						174
Total			$	1,720					$	1,459					$	827

(1) Issued in September 2021, covering in-force policies issued between April 1, 2021 and June 30, 2021. $508 million was directly funded by Bellemeade Re 2021-3 Ltd. via insurance-linked notes, with an additional $131 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.

(2)    Issued in January 2022, covering in-force policies issued between July 1, 2021 and November 30, 2021. $284 million was directly funded by Bellemeade Re 2022-1 Ltd. via insurance-linked notes, with an additional $33 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.

(3) Issued in September 2022, covering in-force policies issued between November 1, 2021 and June 30, 2022. $201 million was directly funded by Bellemeade Re 2022-2 Ltd. via insurance-linked notes, with an additional $126 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.

(4) Issued in October 2023, covering in-force policies issued between January 1, 2023 and September 30, 2023. $186 million was directly funded by Bellemeade Re 2023-1 Ltd. via insurance-linked notes, with an additional $47 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.

(5)    Issued in August 2024, covering in-force policies issued between September 1, 2023 and July 31, 2024. $163 million was directly funded by Bellemeade Re 2024-1 Ltd. via insurance-linked notes, with an additional $41 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.

Reserve for Losses and Loss Adjustment Expenses 

We establish reserve for losses and loss adjustment expenses (“Loss Reserves”) which represent estimates involving actuarial and statistical projections, at a given point in time, of our expectations of the ultimate settlement and administration costs of losses incurred. Estimating Loss Reserves is inherently difficult. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of Loss Reserves. Actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements.

At September 30, 2024 and December 31, 2023, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows:

			September 30, 2024						December 31, 2023
Insurance segment:
Case reserves			$	3,686					$	2,730
IBNR reserves			7,997						5,626
Total net reserves			11,683						8,356
Reinsurance segment:
Case reserves			2,722						2,447
Additional case reserves			818						484
IBNR reserves			5,385						4,260
Total net reserves			8,925						7,191
Mortgage segment:
Case reserves			332						323
IBNR reserves			176						192
Total net reserves			508						515
Total:
Case reserves			6,740						5,500
Additional case reserves			818						484
IBNR reserves			13,558						10,078
Total net reserves			$	21,116					$	16,062

At September 30, 2024 and December 31, 2023, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

			September 30, 2024						December 31, 2023
Insurance segment:
Third party occurrence business			$	4,047					$	3,719
Multi-line and other specialty			3,968						1,350
Third party claims-made business			2,651						2,451
Property, energy, marine and aviation			1,017						836
Total net reserves			$	11,683					$	8,356

At September 30, 2024 and December 31, 2023, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

			September 30, 2024						December 31, 2023
Reinsurance segment:
Casualty			$	3,080					$	2,725
Other specialty			2,765						2,125
Property excluding property catastrophe			1,683						1,243
Property catastrophe			816						585
Marine and aviation			446						359
Other			135						154
Total net reserves			$	8,925					$	7,191

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At September 30, 2024 and December 31, 2023, the mortgage segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

			September 30, 2024						December 31, 2023
Mortgage segment:
U.S. primary mortgage insurance (1)			$	331					$	324
U.S. credit risk transfer (CRT) and other			94						100
International mortgage insurance/ reinsurance			83						91
Total net reserves			$	508					$	515

(1)    At September 30, 2024, 37.1% of total net reserves represents policy years 2014 and prior and the remainder from later policy years. At December 31, 2023, 31.0% of total net reserves represent policy years 2014 and prior and the remainder from later policy years.

Mortgage Operations Supplemental Information

On June 3, 2024, we completed the acquisition of RMIC Companies, Inc., and its wholly-owned subsidiaries (“RMIC”) that, together, comprise the run-off mortgage insurance business of Old Republic International Corporation. The acquired business had been in runoff since 2011 and represented $3.6 billion of insurance in force at June 30, 2024.

The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at September 30, 2024 and December 31, 2023:

			September 30, 2024												December 31, 2023
			Amount						%						Amount						%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance			$	292,313					57.2						$	290,764					57.1
U.S. credit risk transfer (CRT) and other			148,417						29.0						149,098						29.3
International mortgage insurance/reinsurance			70,380						13.8						69,473						13.6
Total			$	511,110					100.0						$	509,335					100.0
Risk In Force (RIF) (2):
U.S. primary mortgage insurance			$	76,448					84.6						$	75,527					84.6
U.S. credit risk transfer (CRT) and other			6,011						6.7						6,156						6.9
International mortgage insurance/reinsurance			7,887						8.7						7,562						8.5
Total			$	90,346					100.0						$	89,245					100.0

(1)Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance. Such amounts are shown before external reinsurance.

(2)The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for risk-sharing or reinsurance. Such amounts are shown before external reinsurance.

The IIF and RIF for our U.S. primary mortgage insurance business by policy year were as follows at September 30, 2024:

			IIF												RIF												Delinquency
			Amount						%						Amount						%						Rate (1)
Policy year:
2014 and prior			$	15,482					5.3						$	3,938					5.2						6.69		%
2015			3,544						1.2						913						1.2						2.20		%
2016			6,075						2.1						1,614						2.1						2.73		%
2017			5,969						2.0						1,599						2.1						3.19		%
2018			7,457						2.6						1,939						2.5						4.09		%
2019			13,560						4.6						3,552						4.6						2.65		%
2020			41,836						14.3						11,307						14.8						1.33		%
2021			65,789						22.5						17,379						22.7						1.33		%
2022			59,085						20.2						15,577						20.4						1.27		%
2023			38,380						13.1						9,875						12.9						0.81		%
2024			35,136						12.0						8,755						11.5						0.16		%
Total			$	292,313					100.0						$	76,448					100.0						1.96		%

(1)Represents the ending percentage of loans in default.

The IIF and RIF for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2023:

			IIF												RIF												Delinquency
			Amount						%						Amount						%						Rate (1)
Policy year:
2014 and prior			$	13,301					4.6						$	3,387					4.5						6.01		%
2015			4,691						1.6						1,244						1.6						1.98		%
2016			7,525						2.6						2,025						2.7						2.50		%
2017			7,600						2.6						2,023						2.7						3.13		%
2018			8,512						2.9						2,207						2.9						4.04		%
2019			15,767						5.4						4,074						5.4						2.40		%
2020			51,349						17.7						13,357						17.7						1.17		%
2021			76,667						26.4						19,812						26.2						1.12		%
2022			63,899						22.0						16,755						22.2						0.89		%
2023			41,453						14.3						10,643						14.1						0.26		%
Total			$	290,764					100.0						$	75,527					100.0						1.74		%

(1)Represents the ending percentage of loans in default.

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The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at September 30, 2024 and December 31, 2023:

			September 30, 2024												December 31, 2023
			Amount						%						Amount						%
Credit quality (FICO):
>=740			$	47,414					62.0						$	46,796					62.0
680-739			24,974						32.7						24,990						33.1
620-679			3,701						4.8						3,497						4.6
<620			359						0.5						244						0.3
Total			$	76,448					100.0						$	75,527					100.0
Weighted average FICO score			748												748
Loan-to-value (LTV):
95.01% and above			$	7,415					9.7						$	7,067					9.4
90.01% to 95.00%			45,509						59.5						44,669						59.1
85.01% to 90.00%			20,746						27.1						20,490						27.1
85.00% and below			2,778						3.6						3,301						4.4
Total			$	76,448					100.0						$	75,527					100.0
Weighted average LTV			93.1		%										93.0		%
Total RIF, net of external reinsurance			$	60,421											$	58,146

			September 30, 2024												December 31, 2023
			Amount						%						Amount						%
Total RIF by State:
California			$	6,052					7.9						$	6,162					8.2
Texas			5,699						7.5						5,972						7.9
North Carolina			3,353						4.4						3,248						4.3
Georgia			3,145						4.1						3,081						4.1
Minnesota			3,111						4.1						3,069						4.1
Illinois			3,085						4.0						2,986						4.0
Massachusetts			2,896						3.8						2,858						3.8
Florida			2,880						3.8						3,007						4.0
Michigan			2,876						3.8						2,773						3.7
Virginia			2,581						3.4						2,578						3.4
Other			40,770						53.3						39,793						52.7
Total			$	76,448					100.0						$	75,527					100.0

The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics:

(U.S. Dollars in thousands, except policy, loan and claim count)			Nine Months Ended
			September 30,
			2024						2023
Roll-forward of insured loans in default:
Beginning delinquent number of loans			19,457						20,567
New notices			33,047						28,642
Cures			(32,242)						(29,903)
Paid claims			(909)						(662)
Acquired delinquent loans (1)			2,525						—
Ending delinquent number of loans (2)			21,878						18,644
Ending number of policies in force (2)			1,114,251						1,129,351
Delinquency rate (2)			1.96		%				1.65		%
Losses:
Number of claims paid			909						662
Total paid claims			$	31,216					$	19,502
Average per claim			$	34.3					$	29.5
Severity (3)			69.5		%				68.8		%
Average case reserve per default (2)			$	15.9					$	21.2

(1)Represents delinquent loans related to the acquisition of RMIC.

(2)Includes first lien primary and pool policies.

(3)Represents total paid claims divided by RIF of loans for which claims were paid.

The risk to capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 7.3 to 1 at September 30, 2024, consistent with 7.3 to 1 at December 31, 2023.

Shareholders’ Equity and Book Value per Share

The following table presents the calculation of book value per share:

			September 30, 2024						December 31, 2023
Total shareholders’ equity available to Arch			$	22,274					$	18,353
Less preferred shareholders’ equity			830						830
Common shareholders’ equity available to Arch			$	21,444					$	17,523
Common shares and common share equivalents outstanding, net of treasury shares (1)			376.2						373.3
Book value per share			$	57.00					$	46.94

(1)Excludes the effects of 10.7 million and 12.5 million stock options and 0.3 million and 0.4 million restricted stock units outstanding at September 30, 2024 and December 31, 2023, respectively.

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LIQUIDITY

Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations.

Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares.

For the nine months ended September 30, 2024, Arch Capital received dividends of $569 million from Arch Re Bermuda, our Bermuda based reinsurer and insurer, which can pay approximately $4.2 billion to Arch Capital during the remainder of 2024 without providing an affidavit to the Bermuda Monetary Authority.

We expect that our liquidity needs, including our anticipated (re)insurance obligations and operating and capital expenditure needs, for the next 12 months and for the foreseeable future thereafter, will be met by funds generated from underwriting activities and investment income, as well as by our balance of cash, short-term investments, proceeds on the sale or maturity of our investments, and our credit facilities.

Cash Flows

The following table summarizes our cash flows from operating, investing and financing activities:

			Nine Months Ended
			September 30,
			2024						2023
Total cash provided by (used for):
Operating activities			$	5,100					$	4,084
Investing activities			(4,881)						(3,936)
Financing activities			(35)						(52)
Effects of exchange rate changes on foreign currency cash and restricted cash			30						(14)
Increase (decrease) in cash and restricted cash			$	214					$	82

Cash provided by operating activities for the nine months ended September 30, 2024 was higher than in the 2023 period. Activity for the nine months ended September 30, 2024 primarily reflected a higher level of premiums collected than in the 2023 period.

Cash used for investing activities for the nine months ended September 30, 2024 was higher than in the 2023 period. Activity for the nine months ended September 30, 2024 reflected higher net purchases than in the 2023 period due in part to the investment of operating cash flows. Activity for the nine months ended September 30, 2024 reflected $852 million of net cash received related to the MCE Acquisition.

Cash used for financing activities for the nine months ended September 30, 2024 was lower than in the 2023 period, reflecting common share activity.

CAPITAL RESOURCES

The following table provides an analysis of our capital structure:

			September 30, 2024						December 31, 2023
Senior notes			$	2,727					$	2,726
Shareholders’ equity available to Arch:
Series F non-cumulative preferred shares			$	330					$	330
Series G non-cumulative preferred shares			500						500
Common shareholders’ equity			21,444						17,523
Total			$	22,274					$	18,353
Total capital available to Arch			$	25,001					$	21,079
Debt to total capital (%)			10.9						12.9
Preferred to total capital (%)			3.3						3.9
Debt and preferred to total capital (%)			14.2						16.9

Arch MI U.S. is required to maintain compliance with the GSEs requirements, known as the Private Mortgage Insurer Eligibility Requirements or “PMIERs.” The financial requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value and original credit score of performing loans, and the delinquency status of non-performing loans) and are subject to a minimum amount. Arch MI U.S. satisfied the PMIERs’ financial requirements with an estimated PMIER sufficiency ratio of 205% at September 30, 2024, compared to 213% at December 31, 2023. On August 21, 2024, Fannie Mae and Freddie Mac (collectively the GSEs) each updated their Private Mortgage Insurer Eligibility Requirements (PMIERs) to incorporate new deductions to Available Assets for investment risk. This update will become effective March 31, 2025; but the impact will be phased in through September 30, 2026. If the GSEs had fully implemented this update to PMIERs as of September 30, 2024, the changes would have reduced Available Assets by 16% and resulted in a Pro-forma PMIERs Sufficiency Ratio of 173% compared with a reported PMIERs Sufficiency Ratio of 205%.

Arch Capital, through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates, through certain reinsurance arrangements beneficial to the ratings of such subsidiaries. Historically, our insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business.

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GUARANTOR INFORMATION

The below table provides a description of our senior notes payable at September 30, 2024:

						Interest						Principal						Carrying
Issuer/Due						(Fixed)						Amount						Amount
Arch Capital:
May 1, 2034						7.350		%				$	300					$	298
June 30, 2050						3.635		%				1,000						989
Arch-U.S.:
Nov. 1, 2043 (1)						5.144		%				500						495
Arch Finance:
Dec. 15, 2026 (1)						4.011		%				500						499
Dec. 15, 2046 (1)						5.031		%				450						446
Total												$	2,750					$	2,727

(1)Fully and unconditionally guaranteed by Arch Capital.

Our senior notes were issued by Arch Capital, Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) and Arch Capital Finance LLC (“Arch Finance”). Arch-U.S. is a wholly-owned subsidiary of Arch Capital and Arch Finance is a wholly-owned finance subsidiary of Arch-U.S. Our 2034 senior notes and 2050 senior notes issued by Arch Capital are unsecured and unsubordinated obligations of Arch Capital and ranked equally with all of its existing and future unsecured and unsubordinated indebtedness. The 2043 senior notes issued by Arch-U.S. are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital. The 2026 senior notes and 2046 senior notes issued by Arch Finance are unsecured and unsubordinated obligations of Arch Finance and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital.

Arch-U.S. and Arch Finance depend on their available cash resources, liquid investments and dividends or other distributions from their subsidiaries or affiliates to make payments, including the payment of debt service obligations and operating expenses they may incur.

The following tables present condensed financial information for Arch Capital (parent guarantor) and Arch-U.S. (subsidiary issuer):

			September 30, 2024
			Arch Capital						Arch-U.S.
Assets
Total investments			$	18					$	394
Cash			14						4
Investment in operating affiliates			3						—
Due from subsidiaries and affiliates			3						9
Other assets			57						91
Total assets			$	95					$	498
Liabilities
Senior notes			1,287						495
Due to subsidiaries and affiliates			11						1,021
Other liabilities			49						56
Total liabilities			$	1,347					$	1,572
Non-cumulative preferred shares			$	830					—

									December 31, 2023
															Arch Capital						Arch-U.S.
Assets
Total investments															$	17					$	145
Cash															9						5
Investment in operating affiliates															4						—
Due from subsidiaries and affiliates															—						—
Other assets															58						56
Total assets															$	88					$	206
Liabilities
Senior notes															1,287						495
Due to subsidiaries and affiliates															—						993
Other liabilities															38						42
Total liabilities															$	1,325					$	1,530
Non-cumulative preferred shares															$	830					—

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									Nine Months Ended												Year Ended
									September 30, 2024												December 31, 2023
									Arch Capital						Arch-U.S.						Arch Capital						Arch-U.S.
Revenues
Net investment income															$	2					$	8					$	2					$	4
Net realized gains (losses)															(4)						—						—						—
Equity in net income (loss) of investments accounted for using the equity method															—						(4)						—						(2)
Total revenues															(2)						4						2						2
Expenses
Corporate expenses															87						6						93						9
Interest expense															44						19						59						26
Interest expense (intercompany)															—						38						—						51
Total expenses															131						63						152						86
Income (loss) before income taxes and income (loss) from operating affiliates															(133)						(59)						(150)						(84)
Income tax (expense) benefit															—						11						41						19
Income (loss) from operating affiliates															(1)						—						(1)						—
Net income available to Arch															(134)						(48)						(110)						(65)
Preferred dividends															(30)						—						(40)						—
Net income (loss) available to Arch common shareholders															$	(164)					$	(48)					$	(150)					$	(65)

CATASTROPHIC AND SEVERE ECONOMIC EVENTS

We have large aggregate exposures to natural and man-made catastrophic events, pandemic events like COVID-19 and severe economic events. Natural catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. Man-made catastrophic events may include acts of war, acts of terrorism and political instability. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers’ compensation or general liability. In addition to the nature of property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration, tend to generally increase the size of losses from catastrophic events over time.

Our models employ both proprietary and vendor-based systems and include cross-line correlations for property, marine, offshore energy, aviation, workers compensation and personal accident. We seek to limit the probable maximum pre-tax loss to a specific level for severe catastrophic events. Currently, we seek to limit our 1-in-250 year return period net probable maximum loss from a severe catastrophic event in any geographic zone to approximately 25% of tangible shareholders’ equity available to Arch (total shareholders’

equity available to Arch less goodwill and intangible assets). We reserve the right to change this threshold at any time.

Based on in-force exposure estimated as of October 1, 2024, our modeled peak zone catastrophe exposure was a windstorm affecting the Florida Tri-County regions, with a net probable maximum pre-tax loss of $1.7 billion, or 8% of tangible shareholders’ equity available to Arch, followed by windstorms affecting the Northeastern U.S. regions and the Gulf of Mexico with net probable maximum pre-tax losses of $1.5 billion and $1.4 billion, respectively. Our exposures to other perils, such as U.S. earthquake and international events, were less than the exposures arising from U.S. windstorms and hurricanes. As of October 1, 2024, our modeled peak zone earthquake exposure (San Francisco earthquake) represented approximately 58% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (Germany windstorm) was substantially less than both our peak zone windstorm and earthquake exposures.

We also have significant exposure to losses due to mortgage defaults resulting from severe economic events in the future. For our U.S. mortgage insurance business, we have developed a proprietary risk model (“Realistic Disaster Scenario” or “RDS”) that simulates the maximum loss resulting from a severe economic downturn impacting the housing market. The RDS models the collective impact of adverse conditions for key economic indicators, the most significant of which is a decline in home prices. The RDS model projects paths of future home prices, unemployment rates, income levels and interest rates and assumes correlation across states and geographic regions. The resulting future performance of our in-force portfolio is then estimated under the economic stress scenario, reflecting loan and borrower information.

Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of tangible shareholders’ equity available to Arch. We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of October 1, 2024, our modeled RDS loss was approximately $1.1 billion, or 5% of tangible shareholders’ equity available to Arch.

Net probable maximum loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. RDS loss estimates are net of expected reinsurance recoveries and before income tax. Catastrophe loss estimates are reflective of the zone indicated and not the entire portfolio. Since hurricanes and windstorms can affect more than one zone and make multiple landfalls, our catastrophe loss estimates include clash estimates from other zones. Our catastrophe loss estimates and RDS loss estimates do not represent our maximum exposures and it is highly likely that our actual incurred losses would vary materially from the modeled estimates. There can be no assurances that we will not suffer pre-tax losses greater than

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25% of our tangible shareholders’ equity from one or more catastrophic events or severe economic events due to several factors. These factors include the inherent uncertainties in estimating the frequency and severity of such events and the margin of error in making such determinations resulting from potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques or as a result of a decision to change the percentage of shareholders' equity exposed to a single catastrophic event or severe economic event. In addition, actual losses may increase if our reinsurers fail to meet their obligations to us or the reinsurance protections purchased by us are exhausted or are otherwise unavailable. See “Risk Factors—Risks Relating to Our Industry” and “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Catastrophic Events and Severe Economic Events” in our 2023 Form 10-K.

MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT

In accordance with the SEC’s Financial Reporting Release No. 48, we performed a sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments as of September 30, 2024. Market risk represents the risk of changes in the fair value of a financial instrument and is comprised of several components, including liquidity, basis and price risks.

An analysis of material changes in market risk exposures at September 30, 2024 that affect the quantitative and qualitative disclosures presented in our 2023 Form 10-K (see section captioned “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Market Sensitive Instruments and Risk Management”) were as follows: 

Investment Market Risk

Fixed Income Securities. We invest in interest rate sensitive securities, primarily debt securities. We consider the effect of interest rate movements on the fair value of our fixed maturities, short-term investments and certain of our other investments, equity securities and investment funds accounted for using the equity method which invest in fixed income securities (collectively, “Fixed Income Securities”) and the corresponding change in unrealized appreciation. As interest rates rise, the fair value of our Fixed Income Securities falls, and the converse is also true. Based on historical observations, there is a low probability that all interest rate yield curves would shift in the same direction at the same time. Furthermore, at times interest rate movements in certain credit sectors exhibit a much lower correlation to changes in U.S. Treasury yields. Accordingly, the actual effect of interest rate movements may differ materially from the amounts set forth in the following tables.

The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our Fixed Income Securities:

(U.S. dollars in  billions)			Interest Rate Shift in Basis Points
			-100						-50						—						+50						+100
September 30, 2024
Total fair value			$	41.5					$	40.9					$	40.4					$	39.8					$	39.3
Change from base			2.7		%				1.3		%										(1.3)		%				(2.6)		%
Change in unrealized value			$	1.1					$	0.5											$	(0.5)					$	(1.0)
December 31, 2023
Total fair value			$	33.6					$	33.1					$	32.7					$	32.2					$	31.7
Change from base			3.0		%				1.5		%										(1.4)		%				(2.8)		%
Change in unrealized value			$	1.0					$	0.5											$	(0.5)					$	(0.9)

In addition, we consider the effect of credit spread movements on the market value of our Fixed Income Securities and the corresponding change in unrealized value. As credit spreads widen, the fair value of our Fixed Income Securities falls, and the converse is also true. In periods where the spreads on our Fixed Income Securities are much higher than their historical average due to short-term market dislocations, a parallel shift in credit spread levels would result in a much more pronounced change in unrealized value.

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The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on our Fixed Income Securities:

(U.S. dollars in  billions)			Credit Spread Shift in Percentage Points
			-100						-50						—						+50						+100
September 30, 2024
Total fair value			$	41.7					$	41.0					$	40.4					$	39.7					$	39.1
Change from base			3.2		%				1.6		%										(1.6)		%				(3.2)		%
Change in unrealized value			$	1.3					$	0.6											$	(0.6)					$	(1.3)
December 31, 2023
Total fair value			$	33.8					$	33.2					$	32.7					$	32.1					$	31.5
Change from base			3.4		%				1.7		%										(1.7)		%				(3.4)		%
Change in unrealized value			$	1.1					$	0.6											$	(0.6)					$	(1.1)

Another method that attempts to measure portfolio risk is Value-at-Risk (“VaR”). VaR measures the worst expected loss under normal market conditions over a specific time interval at a given confidence level. The 1-year 95th percentile parametric VaR reported herein estimates that 95% of the time, the portfolio loss in a one-year horizon would be less than or equal to the calculated number, stated as a percentage of the measured portfolio’s initial value. The VaR is a variance-covariance based estimate, based on linear sensitivities of a portfolio to a broad set of systematic market risk factors and idiosyncratic risk factors mapped to the portfolio exposures. The relationships between the risk factors are estimated using historical data, and the most recent data points are generally given more weight. As of September 30, 2024, our portfolio’s 95th percentile VaR was estimated to be 5.6%, compared to an estimated 7.8% at December 31, 2023. In periods where the volatility of the risk factors mapped to our portfolio’s exposures is higher due to market conditions, the resulting VaR is higher than in other periods.

Equity Securities. At September 30, 2024 and December 31, 2023, the fair value of our investments in equity securities and certain investments accounted for using the equity method with underlying equity strategies totaled $1.4 billion and $1.0 billion, respectively. These investments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% decline in the value of each position would reduce the fair value of such investments by approximately $135 million and $101 million at September 30, 2024 and December 31, 2023, respectively, and would have decreased book value per share by approximately $0.36 and $0.27, respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $135 million and $101 million at September 30, 2024 and December 31, 2023, respectively, and would have increased book value per share by approximately $0.36 and $0.27, respectively.

Investment-Related Derivatives. At September 30, 2024, the notional value of all derivative instruments (excluding foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $3.4 billion, compared to $4.2 billion at December 31, 2023. If the underlying exposure of each investment-related derivative held at September 30, 2024 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $34 million, and a decrease in book value per share of approximately $0.09 per share, compared to $42 million and $0.11 per share, respectively, on investment-related derivatives held at December 31, 2023. If the underlying exposure of each investment-related derivative held at September 30, 2024 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $34 million, and an increase in book value per share of approximately $0.09 per share, compared to $42 million and $0.11 per share, respectively, on investment-related derivatives held at December 31, 2023. See note 10, “Derivative Instruments,” to our consolidated financial statements for additional disclosures concerning derivatives.

For further discussion on investment activity, please refer to “Financial Condition—Investable Assets.”

Foreign Currency Exchange Risk

Foreign currency rate risk is the potential change in value, income and cash flow arising from adverse changes in foreign currency exchange rates. Through our subsidiaries and branches located in various foreign countries, we conduct our insurance and reinsurance operations in a variety of local currencies other than the U.S. Dollar. We generally hold investments in foreign currencies which are intended to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. See note 10, “Derivative Instruments,” to our consolidated financial statements for additional information.

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The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:

			September 30, 2024						December 31, 2023
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives			$	(496)					$	(300)
Shareholders’ equity denominated in foreign currencies (1)			1,190						1,158
Net foreign currency forward contracts outstanding (2)			215						246
Net exposures denominated in foreign currencies			$	909					$	1,104
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies:
Shareholders’ equity			$	(91)					$	(110)
Book value per share			$	(0.24)					$	(0.30)
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies:
Shareholders’ equity			$	91					$	110
Book value per share			$	0.24					$	0.30

(1)    Represents capital contributions held in the foreign currencies of our operating units.

(2)    Represents the net notional value of outstanding foreign currency forward contracts.

Although we generally attempt to match the currency of our projected liabilities with investments in the same currencies, from time to time we may elect to over or underweight one or more currencies, which could increase our exposure to foreign currency fluctuations and increase the volatility of our shareholders’ equity. Historical observations indicate a low probability that all foreign currency exchange rates would shift against the U.S. Dollar in the same direction and at the same time and, accordingly, the actual effect of foreign currency rate movements may differ materially from the amounts set forth above. For further discussion on foreign exchange activity, please refer to “Results of Operations.”

Effects of Inflation

General economic inflation has increased in recent quarters and may continue to remain at elevated levels for an extended period of time. The potential also exists, after a catastrophe loss or pandemic events like COVID-19, for the development of inflationary pressures in a local economy. This may have a material effect on the adequacy of our reserves for losses and loss adjustment expenses, especially in longer-tailed lines of business, and on the market value of our investment portfolio through rising interest rates. The anticipated effects of inflation are considered in our pricing models, reserving processes and exposure management, across all lines of business and types of loss including natural catastrophe events. The actual effects of inflation on our results cannot be accurately known until claims are ultimately settled and will

vary by the specific type of inflation affecting each line of business.

ITEM 3. QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK

Reference is made to the information appearing above under the subheading “Market Sensitive Instruments and Risk Management” under the caption “Management’s Discussion and Analysis of Financial Condition and Results of Operations,” which information is hereby incorporated by reference.

ITEM 4. CONTROLS AND PROCEDURES

Evaluation of Disclosure Controls and Procedures

In connection with the filing of this Form 10-Q, our management, including the Chief Executive Officer and Chief Financial Officer, conducted an evaluation of the Company’s disclosure controls and procedures, as of the end of the period covered by this report, for the purposes set forth in the applicable rules under the Securities Exchange Act of 1934, as amended (the “Exchange Act”). Based on that evaluation and subject to the below, the Chief Executive Officer and Chief Financial Officer concluded that the Company’s disclosure controls and procedures were effective as of the end of the period covered by this report. Disclosure controls and procedures are the controls and other procedures designed to ensure that information required to be disclosed in the reports filed or submitted under the Exchange Act is recorded, processed, summarized and reported within the time periods specified in the SEC’s rules and forms, and that such information is accumulated and communicated to management, including the Chief Executive Officer and Chief Financial Officer, as appropriate to allow timely decisions regarding required disclosure.

On August 1, 2024, we completed the MCE Acquisition, and we are currently integrating MCE into our internal control process. Consistent with guidance issued by the SEC, we are excluding the internal control over financial reporting of MCE from our evaluation of the effectiveness of our disclosure controls and procedures as of the end of the period covered by this report. MCE represents 5% of total assets, and 2% of our total revenues as of and for the nine months ending September 30, 2024.

Changes in Internal Control Over Financial Reporting

Other than the item noted above, there have been no changes in internal control over financial reporting that occurred during the quarter ended September 30, 2024 that have materially affected, or are reasonably likely to materially affect, our internal control over financial reporting.

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PART II. OTHER INFORMATION

ITEM 1. LEGAL PROCEEDINGS

We, in common with the insurance industry in general, are subject to litigation and arbitration in the normal course of our business. As of September 30, 2024, we were not a party to any litigation or arbitration which is expected by management to have a material adverse effect on our results of operations and financial condition and liquidity.

ITEM 1A. RISK FACTORS

There were no material changes from the risk factors previously disclosed in our Annual Report on Form 10-K for the year ended December 31, 2023.

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ITEM 2. UNREGISTERED SALES OF EQUITY SECURITIES AND USE OF PROCEEDS

Issuer’s Repurchases of Equity Securities

The following table summarizes our purchases of common shares for the 2024 third quarter:

Period						Total Number of Shares Purchased (1)						Average Price Paid per Share						Total Number of Shares Purchased as Part of Publicly Announced Plans or Programs						Approximate Dollar Value of Shares that  May Yet be Purchased Under the Plan or Programs ($000’s) (2)
7/1/2024-7/31/2024						817						$	98.17					—						$	1,000,000
8/1/2024-8/31/2024						469						97.10						—						$	1,000,000
9/1/2024-9/30/2024						2,183						111.46						—						$	1,000,000
Total						3,469						$	106.39					—

(1)This column represents (in whole shares) open market share repurchases, including an aggregate of 817, 469 and 2,183 shares repurchased by Arch Capital during July, August and September, respectively, other than through publicly announced plans or programs. We repurchased these shares from employees in order to facilitate the payment of withholding taxes on restricted shares granted and the exercise of stock appreciation rights, in each case at their fair value as determined by reference to the closing price of our common shares on the day the restricted shares vested or the stock appreciation rights were exercised.

(2)This column represents the remaining approximate dollar amount available at the end of each applicable period under Arch Capital’s $1.0 billion share repurchase authorization, authorized by the Board of Directors of ACGL and announced on December 19, 2022. Repurchases may be effected from time to time in open market or privately negotiated transactions through December 31, 2024.

ITEM 3. DEFAULTS UPON SENIOR SECURITIES

None.

ITEM 4. MINE SAFETY DISCLOSURES

Not applicable.

ITEM 5. OTHER INFORMATION

During the three months ended September 30, 2024, none of the Company’s directors or officers (as defined in Rule 16a-1(f) of the Securities Exchange Act of 1934) adopted or terminated a Rule 10b5-1 trading arrangement or non-Rule 10b5-1 trading arrangement (as such terms are defined in Item 408 of Regulation S-K of the Securities Act of 1933).

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ITEM 6. EXHIBITS

Incorporated by Reference

Exhibit Number

Exhibit Description

Form

Original Number

Date Filed

Filed Herewith

10.1(1)

Amendment No. 4 to Letter of Credit Facility Agreement dated as of October 30, 2024 by and between Arch Reinsurance Ltd., as the borrower and Lloyds Bank Corporate Markets plc as Administrative Agent and L/C Agent.

8-K

10.1

November 4, 2024

10.2

Amendment to Employment Agreement, dated as of October 13, 2024, between ACGL and Nicolas Papadopoulo†

X

31.1

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

X

31.2

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

X

32.1

Certification of Chief Executive Officer pursuant to Section 906 of the Sarbanes-Oxley Act of 2002

X

32.2

Certification of Chief Financial Officer pursuant to Section 906 of the Sarbanes-Oxley Act of 2002

X

101.INS

XBRL Instance Document

101.SCH

XBRL Taxonomy Extension Schema Document

101.CAL

XBRL Taxonomy Extension Calculation Linkbase Document

101.DEF

XBRL Taxonomy Extension Definition Linkbase Document

101.LAB

XBRL Taxonomy Extension Label Linkbase Document

101.PRE

XBRL Taxonomy Extension Presentation Linkbase Document

104

Cover Page Interactive Data File (embedded within the Inline XBRL document)

†     Management contract or compensatory plan or arrangement.

(1)     Portions of this exhibit have been omitted pursuant to Item 601(b)(10) of Regulation S-K. The Company hereby undertakes to furnish supplementally to the SEC a copy of any omitted items upon request.

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SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned thereunto duly authorized.

						ARCH CAPITAL GROUP LTD.
						(REGISTRANT)
						/s/ Nicolas Papadopoulo
Date: November 7, 2024						Nicolas Papadopoulo
						Chief Executive Officer (Principal Executive Officer)
						/s/ François Morin
Date: November 7, 2024						François Morin
						Executive Vice President, Chief Financial Officer (Principal Financial and Accounting Officer) and Treasurer

ARCH CAPITAL			67			2024 THIRD QUARTER FORM 10-Q