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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C.  20549
 
FORM 8-K
 
Current Report Pursuant to Section 13 or 15(d)
of the Securities Exchange Act of 1934
 
October 27, 2025
Date of Report (Date of earliest event reported) 
Arch Capital Group Ltd.
(Exact name of registrant as specified in its charter)
Bermuda   001-16209   98-0374481
(State or other
jurisdiction of
incorporation or
organization)
  (Commission File Number)   (I.R.S. Employer
Identification No.)
 
Waterloo House, Ground Floor, 100 Pitts Bay Road, Pembroke HM 08, Bermuda
(Address of principal executive offices) (Zip Code)
 
Registrant’s telephone number, including area code:
(441) 278-9250
 
N/A
(Former name or former address, if changed since last report)
 
Check the appropriate box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation of the registrant under any of the following provisions (see General Instruction A.2. below):
 
☐    Written communications pursuant to Rule 425 under the Securities Act (17 CFR 230.425)
 
☐    Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR 240.14a-12)
 
☐    Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act (17 CFR 240.14d-2(b))
 
☐    Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act (17 CFR 240.13e-4(c))


Securities registered pursuant to Section 12(b) of the Exchange Act:
Title of each class Trading Symbol (s) Name of each exchange on which registered
Common shares, $0.0011 par value per share ACGL NASDAQ Stock Market
Depositary shares, each representing a 1/1,000th interest in a 5.45% Series F preferred share
ACGLO
NASDAQ Stock Market
Depositary shares, each representing a 1/1,000th interest in a 4.55% Series G preferred share ACGLN NASDAQ Stock Market
Indicate by check mark whether the registrant is an emerging growth company as defined in Rule 405 of the Securities Act of 1933 (§230.405 of this chapter) or Rule 12b-2 of the Securities Exchange Act of 1934 (§240.12b-2 of this chapter).

    Emerging growth company     ☐

If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act. o ITEM 2.02 Results of Operations and Financial Condition.



 
On October 27, 2025 Arch Capital Group Ltd. issued a press release reporting its earnings and the availability of its financial supplement for the quarter ended September 30, 2025. The press release and financial supplement are attached to this Current Report on Form 8-K as Exhibit 99.1 and Exhibit 99.2, respectively, and are incorporated herein by reference.
 
The information in this Current Report on Form 8-K, including the information set forth in Exhibit 99.1 and Exhibit 99.2, shall not be deemed “filed” for purposes of Section 18 of the Securities Exchange Act of 1934, as amended (the “Exchange Act”), or incorporated by reference in any filing under the Securities Act of 1933, as amended, or the Exchange Act, except as shall be expressly set forth by specific reference in such a filing.


ITEM 9.01    Financial Statements and Exhibits.

(d):     The following exhibits are being filed herewith.
EXHIBIT NO.   DESCRIPTION
99.1  
99.2  
104 Cover Page Interactive Data File (embedded within the Inline XBRL document)
2


SIGNATURES
 
Pursuant to the requirements of the Securities Exchange Act of 1934, as amended, the registrant has duly caused this report to be signed on its behalf by the undersigned hereunto duly authorized.
 
  ARCH CAPITAL GROUP LTD.
     
     
Date: October 27, 2025 By: /s/ François Morin
    Name: François Morin
    Title: Executive Vice President, Chief Financial Officer and Treasurer


3
EX-99.1 2 ex-991release93025.htm EX-99.1 Document

EXHIBIT 99.1
archlogorgbsolida38.jpg
PRESS RELEASE Arch Capital Group Ltd.
NASDAQ Symbol: ACGL Waterloo House, Ground Floor
For Immediate Release 100 Pitts Bay Road
October 27, 2025
Pembroke HM 08 Bermuda


ARCH CAPITAL GROUP LTD. REPORTS 2025 THIRD QUARTER RESULTS

PEMBROKE, BERMUDA--(BUSINESS WIRE)--Arch Capital Group Ltd. (NASDAQ: ACGL; “Arch,” “our” or “the Company”) announces its 2025 third quarter results. The results included:
•Net income available to Arch common shareholders of $1.3 billion, or $3.56 per share, representing a 23.8% annualized net income return on average common equity, compared to net income available to Arch common shareholders of $1.0 billion, or $2.56 per share, for the 2024 third quarter.
•After-tax operating income available to Arch common shareholders(1) of $1.0 billion, or $2.77 per share, representing an 18.5% annualized operating return on average common equity(1), compared to $762 million, or $1.99 per share, for the 2024 third quarter.
•Pre-tax current accident year catastrophic losses for the Company’s insurance and reinsurance segments, net of reinsurance and reinstatement premiums, of $72 million.
•Favorable development in prior year loss reserves, net of related adjustments, of $103 million.
•Combined ratio excluding catastrophic activity and prior year development(1) of 80.5%, compared to 78.3% for the 2024 third quarter.
•Share repurchases of approximately $732 million.
•Book value per common share of $62.32 at September 30, 2025, a 5.3% increase from June 30, 2025.
"We are extremely pleased with our financial performance this quarter, which resulted in us delivering record-level results of operating income,” Arch CEO Nicolas Papadopoulo said. “While we benefitted from a relatively quiet quarter for natural catastrophes, we remain upbeat about our ability to perform well in the current market, which should lead to strong financial results on behalf of our shareholders."
All earnings per share amounts discussed in this release are on a diluted basis. The following table summarizes the Company’s underwriting results:
(U.S. Dollars in millions) Three Months Ended September 30,
2025 2024 % Change
Gross premiums written $ 5,410  $ 5,440  (0.6)
Net premiums written 3,964  4,047  (2.1)
Net premiums earned 4,285  3,970  7.9 
Underwriting income 871  538  61.9 
Underwriting Ratios % Point Change
Loss ratio 51.4  % 60.5  % (9.1)
Underwriting expense ratio (2)
28.4  % 26.1  % 2.3 
Combined ratio 79.8  % 86.6  % (6.8)
Combined ratio excluding catastrophic activity and prior year development (1)
80.5  % 78.3  % 2.2 
(1)    See ‘Comments on Non-GAAP Financial Measures’ for further details.
(2)    The ‘Underwriting expense ratio’ for the 2025 period includes ‘Other underwriting income.’ See ‘Comments on Non-GAAP Financial Measures’ for further details.



1


The following table summarizes the Company’s 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 and related diluted per share results (see ‘Comments on Non-GAAP Financial Measures’ for further details):
(U.S. Dollars in millions, except per share data) Three Months Ended
September 30,
2025 2024
Net income available to Arch common shareholders $ 1,340  $ 978 
Net realized (gains) losses (1) (210) (169)
Equity in net (income) of investments accounted for using the equity method (134) (171)
Net foreign exchange (gains) losses 63 
Transaction costs and other 21  30 
Income tax expense (benefit) (2) 18  31 
After-tax operating income available to Arch common shareholders $ 1,042  $ 762 
Diluted per common share results:
Net income available to Arch common shareholders $ 3.56  $ 2.56 
Net realized (gains) losses (1) (0.56) (0.44)
Equity in net (income) of investments accounted for using the equity method (0.36) (0.45)
Net foreign exchange (gains) losses 0.02  0.16 
Transaction costs and other 0.06  0.08 
Income tax expense (benefit) (2) 0.05  0.08 
After-tax operating income available to Arch common shareholders $ 2.77  $ 1.99 
Weighted average common shares and common share equivalents outstanding — diluted 376.1  382.3 
Beginning common shareholders’ equity $ 22,211  $ 19,835 
Ending common shareholders’ equity 22,889  21,444 
Average common shareholders’ equity $ 22,550  $ 20,640 
Annualized net income return on average common equity 23.8  % 19.0  %
Annualized operating return on average common equity 18.5  % 14.8  %
(1)    Net realized gains or losses include realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains and losses realized from the acquisition or disposition of subsidiaries.
(2)    Income tax expense (benefit) on net realized gains or losses, equity in net income of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.
2


Segment Information
The following section provides analysis on the Company’s 2025 third quarter performance by reportable segments. For additional details regarding the Company’s reportable segments, please refer to the Company’s Financial Supplement dated September 30, 2025. The Company’s segment information includes the use of underwriting income (loss) and a combined ratio excluding catastrophic activity and prior year development (see ‘Comments on Non-GAAP Financial Measures’ for further details).
Insurance Segment
Three Months Ended September 30,
(U.S. Dollars in millions) 2025 2024 % Change
Gross premiums written $ 2,567  $ 2,341  9.7 
Net premiums written 1,953  1,820  7.3 
Net premiums earned 1,969  1,765  11.6 
Other underwriting income —   n/m
Underwriting income $ 129  $ 120  7.5 
Underwriting Ratios % Point Change
Loss ratio 59.0  % 61.6  % (2.6)
Underwriting expense ratio 34.4  % 31.5  % 2.9 
Combined ratio 93.4  % 93.1  % 0.3 
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 2.2  % 4.9  % (2.7)
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (0.1) % (0.7) % 0.6 
Combined ratio excluding catastrophic activity and prior year development 91.3  % 88.9  % 2.4 

On August 1, 2024, the insurance segment completed the acquisition of the U.S. MidCorp and Entertainment insurance businesses from Allianz (“MCE Acquisition”). As such, the insurance segment’s 2025 third quarter reflects a full quarter of results, while the 2024 third quarter includes two months of results related to the acquired business.
Gross premiums written by the insurance segment in the 2025 third quarter were 9.7% higher than in the 2024 third quarter, while net premiums written were 7.3% higher than in the 2024 third quarter. Growth in net premiums written primarily reflected business related to the MCE Acquisition. Net premiums earned in the 2025 third quarter were 11.6% higher than in the 2024 third quarter and reflect changes in net premiums written over the previous five quarters.
The 2025 third quarter loss ratio reflected 2.2 points of current year catastrophic activity, compared to 4.9 points of catastrophic activity in the 2024 third quarter. Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 0.7 points in the 2025 third quarter, compared to 0.9 points in the 2024 third quarter.
The underwriting expense ratio was 34.4% in the 2025 third quarter, compared to 31.5% in the 2024 third quarter. In the 2024 third quarter, the impact of the MCE Acquisition lowered the underwriting expense ratio by approximately 250 basis 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 2025 third quarter underwriting expense ratio also included 0.6 points related to net favorable development of prior year loss reserves, compared to 0.2 points in the 2024 third quarter.
3


Reinsurance Segment
Three Months Ended September 30,
(U.S. Dollars in millions) 2025 2024 % Change
Gross premiums written $ 2,515  $ 2,763  (9.0)
Net premiums written 1,737  1,945  (10.7)
Net premiums earned 2,015  1,892  6.5 
Other underwriting income 38   n/m
Underwriting income $ 482  $ 149  223.5 
Underwriting Ratios % Point Change
Loss ratio 51.6  % 69.6  % (18.0)
Underwriting expense ratio 24.5  % 22.7  % 1.8 
Combined ratio 76.1  % 92.3  % (16.2)
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 1.5  % 19.3  % (17.8)
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (2.2) % (1.9) % (0.3)
Combined ratio excluding catastrophic activity and prior year development 76.8  % 74.9  % 1.9 
Gross premiums written by the reinsurance segment in the 2025 third quarter were 9.0% lower than in the 2024 third quarter, while net premiums written were 10.7% lower than in the 2024 third quarter. The lower level of net premiums written this quarter was primarily due to the impact of two transactions in the 2024 third quarter in the specialty line of business and the lower level of reinstatement premiums in the 2025 third quarter. Net premiums earned in the 2025 third quarter were 6.5% higher than in the 2024 third quarter and reflect changes in net premiums written over the previous five quarters.
The 2025 third quarter loss ratio reflected 1.3 points of current year catastrophic activity, compared to 21.3 points of current year catastrophic activity in the 2024 third quarter. Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 2.6 points in the 2025 third quarter, compared to 2.2 points in the 2024 third quarter. The balance of the change in the loss ratio resulted, in part, from changes in mix of business.
The underwriting expense ratio was 24.5% in the 2025 third quarter, compared to 22.7% in the 2024 third quarter, with the increase primarily reflecting a higher level of incentive compensation expenses in the 2025 third quarter.

4


Mortgage Segment
Three Months Ended September 30,
(U.S. Dollars in millions) 2025 2024 % Change
Gross premiums written $ 330  $ 339  (2.7)
Net premiums written 274  282  (2.8)
Net premiums earned 301  313  (3.8)
Other underwriting income — 
Underwriting income $ 260  $ 269  (3.3)
Underwriting Ratios % Point Change
Loss ratio (0.5) % (0.4) % (0.1)
Underwriting expense ratio 14.0  % 15.2  % (1.2)
Combined ratio 13.5  % 14.8  % (1.3)
Prior year development:
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (19.2) % (22.8) % 3.6 
Combined ratio excluding prior year development 32.7  % 37.6  % (4.9)
Gross premiums written by the mortgage segment in the 2025 third quarter were 2.7% lower than in the 2024 third quarter, while net premiums written were 2.8% lower than in the 2024 third quarter. The reduction in net premiums written in the 2025 third quarter primarily reflected lower U.S. monthly and single premium volume.
Estimated net favorable development of prior year loss reserves, before related adjustments, decreased the loss ratio by 18.1 points, compared to 20.5 points in the 2024 third quarter. Such amounts were primarily related to better than expected cure rates. The 2025 third quarter loss ratio, excluding net favorable development, was lower compared to the 2024 third quarter, reflecting a decline in new notices of default.
The underwriting expense ratio was 14.0% in the 2025 third quarter, compared to 15.2% in the 2024 third quarter.
5


Corporate
The Company’s results include net investment income, net realized gains or losses (which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains and 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 (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.
Investment returns were as follows:
(U.S. Dollars in millions, except per share data) Three Months Ended
September 30, June 30, September 30,
2025 2025 2024
Pre-tax net investment income $ 408  $ 405  $ 399 
Per share $ 1.08  $ 1.07  $ 1.04 
Equity in net income of investments accounted for using the equity method $ 134  $ 162  $ 171 
Per share $ 0.36  $ 0.43  $ 0.45 
Pre-tax investment income yield, at amortized cost (1) 4.07  % 4.25  % 4.40  %
Total return on investments (2) 1.80  % 3.09  % 3.97  %
(1)    Presented on an annualized basis and excluding the impact of investments for which returns are not included within investment income, such as investments accounted for using the equity method and certain equities.
(2)    See ‘Comments on Non-GAAP Financial Measures’ for further details.
Net investment income for the 2025 third quarter primarily reflected growth in average invested assets, due in part to strong operating cash flows. Net realized gains were $210 million for the 2025 third quarter, compared to $169 million in the 2024 third quarter, and were primarily the result of financial market movements on the Company’s equity securities, investments accounted for under the fair value option method and derivatives.
Amortization of intangible assets was $49 million for the 2025 third quarter, compared to $88 million for the 2024 third quarter. Both periods reflected the amortization of intangible assets related to the MCE Acquisition, including intangible assets attributed to value of business acquired and distribution relationships.
On a pre-tax basis, net foreign exchange losses were $7 million for the 2025 third quarter, compared to net foreign exchange losses of $63 million for the 2024 third quarter. For both periods, such amounts were primarily unrealized and resulted from the effects of revaluing the Company’s net insurance liabilities required to be settled in foreign currencies at each balance sheet date. Changes in the value of available-for-sale investments held in foreign currencies due to foreign currency rate movements are reflected as a direct increase or decrease to shareholders’ equity and are not included in the consolidated statements of income.
The Company’s effective tax rate on income before income taxes (based on the Company’s annual effective tax rate) was 13.7% for the 2025 third quarter, compared to 9.0% for the 2024 third quarter. The Company’s effective tax rate on pre-tax operating income available to Arch common shareholders was 15.8% for the 2025 third quarter, compared to 8.0% for the 2024 third quarter. The effective tax rate may fluctuate from period to period based upon the relative mix of income or loss reported by jurisdiction, the level of catastrophic loss activity incurred, and the varying tax rates in each jurisdiction. The higher rates for the 2025 third quarter primarily reflected the impact of Bermuda’s new corporate income tax.
Income from operating affiliates for the 2025 third quarter was $62 million, or $0.16 per share, compared to $36 million, or $0.09 per share, for the 2024 third quarter, and primarily reflects amounts related to the Company’s investment in Somers Group Holdings Ltd. and Coface SA.



6


Conference Call
The Company will hold a conference call for investors and analysts at 10:00 a.m. Eastern Time on October 28, 2025. A live webcast of this call will be available via the Investors section of the Company’s website at http://www.archgroup.com/investors. A recording of the webcast will be available in the Investors section of the Company’s website approximately two hours after the event concludes. A transcript of the webcast will also be available in the Investors section of the Company’s website approximately 24 hours after the posting of the recording. Both the recording and the transcript will be archived on the site for one year.
Please refer to the Company’s Financial Supplement dated September 30, 2025, which is available via the Investors section of the Company’s website at http://www.archgroup.com/investors. The Financial Supplement provides additional detail regarding the financial performance of the Company. From time to time, the Company posts additional financial information and presentations to its website, including information with respect to its subsidiaries. Investors and other recipients of this information are encouraged to check the Company’s website regularly for additional information regarding the Company.
Arch Capital Group Ltd., is a publicly listed Bermuda exempted company with approximately $26.4 billion in capital at September 30, 2025. Arch, which is part of the S&P 500 index, provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries.
Comments on Non-GAAP Financial Measures
Throughout this release, the Company presents its operations in the way it believes will be the most meaningful and useful to investors, analysts, rating agencies and others who use the Company’s financial information in evaluating the performance of the Company and that investors and such other persons benefit from having a consistent basis for comparison between quarters and for comparison with other companies within the industry. These measures may not, however, be comparable to similarly titled measures used by companies outside of the insurance industry. Investors are cautioned not to place undue reliance on these non-GAAP financial measures in assessing the Company’s overall financial performance.
This presentation includes the use of “after-tax operating income or loss 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 and losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains and losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, net of income taxes and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included on page 2 of this release.
The Company believes that net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other, in any particular period are not indicative of the performance of, or trends in, the Company’s business performance. Although net realized gains or losses, equity in net income or loss of investments accounted for using the equity method and net foreign exchange gains or losses are an integral part of the Company’s operations, the decision to realize these items are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of the Company’s financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in the allowance for credit losses and net impairment losses recognized in earnings on the Company’s investments represent other-than-temporary declines in expected recovery values on securities without actual realization.
The use of the equity method on certain of the Company’s investments in certain funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). This method of accounting is different from the way the Company accounts for its other fixed maturity securities and the timing of the recognition of equity in net income or loss of investments accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments.

7


Transaction costs and other include integration, advisory, financing, legal, severance, incentive compensation and all other costs directly related to acquisitions. The Company believes that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, the Company’s business performance.
The Company believes that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of the Company’s business since the Company evaluates the performance of and manages its business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, the Company believes that this presentation enables investors and other users of the Company’s financial information to analyze the Company’s performance in a manner similar to how the Company’s management analyzes performance. The Company also believes that this measure follows industry practice and, therefore, allows the users of the Company’s financial information to compare the Company’s performance with its industry peer group. The Company believes that the equity analysts and certain rating agencies that follow the Company and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.
The Company’s segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss. Such measures represent the pre-tax profitability of its 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 the Company’s 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 the Segment Information footnote to the Company’s 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 on the following pages.
Management measures segment performance for its three underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment and, accordingly, investment income, income from operating affiliates and other items are not allocated to each underwriting segment.
In addition, the Company’s segment information includes the use of a combined ratio excluding catastrophic activity and prior year development, for the insurance and reinsurance segments, and a combined ratio excluding prior year development, for the mortgage segment. These ratios are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to the combined ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G are shown on the individual segment pages. The Company’s management utilizes the adjusted combined ratios excluding current accident year catastrophic events and favorable or adverse development in prior year loss reserves in its analysis of the underwriting performance of each of its underwriting segments. Effective in the 2025 first quarter, the ‘Other operating expense ratio’ includes ‘Other underwriting income.’
Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains and losses (excluding changes in the allowance for credit losses on non-investment related financial assets) and the change in unrealized gains and 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. Management uses total return on investments as a key measure of the return generated to Arch common shareholders, and compares the return generated by the Company’s investment portfolio against benchmark returns during the periods presented.

8


The following tables summarize the Company’s results by segment for the 2025 third quarter and 2024 third quarter and a reconciliation of underwriting income or loss to income or loss before income taxes and net income or loss available to Arch common shareholders:
(U.S. Dollars in millions) Three Months Ended
September 30, 2025
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 2,567  $ 2,515  $ 330  $ 5,410 
Premiums ceded (1) (614) (778) (56) (1,446)
Net premiums written 1,953  1,737  274  3,964 
Change in unearned premiums 16  278  27  321 
Net premiums earned 1,969  2,015  301  4,285 
Other underwriting income (2) 38  50 
Losses and loss adjustment expenses (1,162) (1,040) (2,200)
Acquisition expenses (386) (398) (2) (786)
Other operating expenses (2) (301) (133) (44) (478)
Underwriting income (loss) $ 129  $ 482  $ 260  871 
Net investment income 408 
Net realized gains (losses) 210 
Equity in net income of investments accounted for using the equity method 134 
Other income (loss) 22 
Corporate expenses (3) (28)
Transaction costs and other (3) (21)
Amortization of intangible assets (49)
Interest expense (37)
Net foreign exchange gains (losses) (7)
Income (loss) before income taxes and income (loss) from operating affiliates 1,503 
Income tax benefit (expense) (215)
Income (loss) from operating affiliates 62 
Net income (loss) available to Arch 1,350 
Preferred dividends (10)
Net income (loss) available to Arch common shareholders $ 1,340 
Underwriting Ratios
Loss ratio 59.0  % 51.6  % (0.5) % 51.4  %
Acquisition expense ratio 19.6  % 19.8  % 0.7  % 18.4  %
Other operating expense ratio (4) 14.8  % 4.7  % 13.3  % 10.0  %
Combined ratio 93.4  % 76.1  % 13.5  % 79.8  %
Net premiums written to gross premiums written 76.1  % 69.1  % 83.0  % 73.3  %

(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)    ‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(3)    Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of such items.
(4)    The ‘Other operating expense ratio’ for the 2025 period includes ‘Other underwriting income.’
9


(U.S. Dollars in millions) 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 — 
Losses and loss adjustment expenses (1,087) (1,317) (2,403)
Acquisition expenses (308) (374) (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 of investments accounted for using the equity method 171 
Other income (loss)
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 benefit (expense) (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  %
Net premiums written to gross premiums written 77.7  % 70.4  % 83.2  % 74.4  %
 
(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.’ See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of such items.

10


Cautionary Note Regarding Forward-Looking Statements
The Private Securities Litigation Reform Act of 1995 (“PSLRA”) provides a “safe harbor” for forward-looking statements. This release or any other written or oral statements made by or on behalf of the Company may include forward-looking statements, which reflect the Company’s current views with respect to future events and financial performance. All statements other than statements of historical fact included in or incorporated by reference in this release are forward-looking statements. Forward-looking statements, for purposes of the PSLRA or otherwise, can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” and similar statements of a future or forward-looking nature or their negative or variations or similar terminology.
Forward-looking statements involve the Company’s current assessment of risks and uncertainties. Actual events and results may differ materially from those expressed or implied in these statements. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed below and elsewhere in this release and in the Company’s periodic reports filed with the Securities and Exchange Commission (the “SEC”), and include:
•the Company’s ability to successfully implement its business strategy during “soft” as well as “hard” markets;
•acceptance of the Company’s business strategy, security and financial condition by rating agencies and regulators, as well as by brokers and its insureds and reinsureds;
•the Company’s ability to consummate acquisitions and integrate any businesses it has acquired or may acquire into its existing operations;
•the Company’s ability to maintain or improve its ratings, which may be affected by its ability to raise additional equity or debt financings, by ratings agencies’ existing or new policies and practices, as well as other factors described herein;
•general economic and market conditions (including inflation, interest rates, unemployment, housing prices, foreign currency exchange rates, prevailing credit terms, tariffs and the depth and duration of a recession) and conditions specific to the reinsurance and insurance markets in which the Company operates;
•competition, including increased competition, on the basis of pricing, capacity (including alternative sources of capital), coverage terms or other factors;
•developments in the world’s financial and capital markets and the Company’s access to such markets;
•the Company’s ability to successfully enhance, integrate and maintain operating procedures (including information technology) to effectively support its current and new business;
•the loss and addition of key personnel;
•material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements;
•accuracy of those estimates and judgments utilized in the preparation of the Company’s financial statements, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, investment valuations, intangible assets, bad debts, income taxes, deferred tax assets, contingencies and litigation, and any determination to use the deposit method of accounting;
•greater than expected loss ratios on business written by the Company and adverse development on claim and/or claim expense liabilities related to business written by its insurance and reinsurance subsidiaries;
•the adequacy of the Company’s loss reserves;
•severity and/or frequency of losses;
•greater frequency or severity of unpredictable natural and man-made catastrophic events;
•claims resulting from natural or man-made catastrophic events or severe economic events in the Company’s insurance, reinsurance and mortgage businesses could cause large losses and substantial volatility in the Company’s results of operations;
•availability to the Company of reinsurance to manage our net exposures and the cost of such reinsurance;
•the failure of reinsurers, managing general agents, third party administrators or others to meet their obligations to the Company;
•the timing of loss payments being faster or the receipt of reinsurance recoverables being slower than anticipated by the Company;
•the Company’s investment performance, including legislative or regulatory developments that may adversely affect the fair value of the Company’s investments;
11


•changes in general economic conditions, including sovereign debt concerns or downgrades of U.S. securities by credit rating agencies, which could affect the Company’s business, financial condition and results of operations;
•an incident, disruption in operations or other cyber event caused by cyber attacks, the use of artificial intelligence technologies or other technology on the Company’s systems or those of the Company’s business partners and service providers, which could negatively impact the Company’s business and/or expose the Company to litigation;
•the effect of climate change on the Company’s business;
•the effect of contagious diseases on the Company’s business;
•acts of terrorism, political unrest and other hostilities or other unforecasted and unpredictable events;
•the volatility of the Company’s shareholders’ equity from foreign currency fluctuations, which could increase due to us not matching portions of the Company’s projected liabilities in foreign currencies with investments in the same currencies;
•changes in accounting principles or policies or in the Company’s application of such accounting principles or policies;
•changes in the political environment of certain countries in which the Company operate or underwrite business;
•statutory or regulatory developments, including as to tax matters and insurance and other regulatory matters such as the adoption of legislation that affects Bermuda-headquartered companies and/or Bermuda-based insurers or reinsurers and/or changes in regulations or tax laws applicable to the Company, its subsidiaries, brokers or customers, including the implementation of the Organization for Economic Cooperation and Development (“OECD”) Pillar I and Pillar II initiative and the enactment of the Bermuda corporate income tax; and
•the other matters set forth under Item 1A “Risk Factors”, Item 7 “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and other sections of the Company’s Annual Report on Form 10-K for the year ended December 31, 2024, filed with the SEC on February 27, 2025 and of the Company’s latest Quarterly Reports on Form 10-Q, as well as the other factors set forth in the Company’s other documents on file with the SEC, and management’s response to any of the aforementioned factors.
All subsequent written and oral forward-looking statements attributable to the Company or persons acting on its behalf are expressly qualified in their entirety by these cautionary statements. The foregoing review of important factors should not be construed as exhaustive and should be read in conjunction with other cautionary statements that are included herein or elsewhere. The Company's forward-looking statements speak only as of the date of this press release or as of the date they are made, and the Company undertakes no obligation to publicly update or revise any forward-looking statement, whether as a result of new information, future events or otherwise.
Contacts
Arch Capital Group Ltd. Investor Relations
François Morin: (441) 278-9250 Donald Watson: (914) 872-3616; dwatson@archgroup.com
Source: Arch Capital Group Ltd.
arch-corporate

12
EX-99.2 3 ex-992supplement93025.htm EX-99.2 Document

EXHIBIT 99.2
arch-slantedxheaderxbluexg.gif
Arch Capital Group Ltd.
Waterloo House, Ground Floor
100 Pitts Bay Road
Pembroke HM 08 Bermuda


Financial Supplement
September 30, 2025
 
The following financial supplement is provided to assist in your understanding of Arch Capital Group Ltd. (“Arch”) and its subsidiaries (collectively, the “Company”).
 
This report is for informational purposes only. It should be read in conjunction with documents filed by Arch with the U.S. Securities and Exchange Commission, including the most recent Annual Report on Form 10-K and the Quarterly Reports on Form 10-Q. Please refer to the Company’s website at www.archgroup.com for further information describing Arch.

arch-slantedxcontactsxblue.gif
Arch Capital Group Ltd. Investor Relations
François Morin: (441) 278-9250 Donald Watson: (914) 872-3616; dwatson@archgroup.com



Arch Capital Group Ltd. and Subsidiaries
Table of Contents

    Page
     
I. Financial Highlights
   
II. Consolidated Financial Statements
  a. Consolidated Statements of Income
  b. Consolidated Balance Sheets
  c. Consolidated Statements of Changes in Shareholders’ Equity
  d. Consolidated Statements of Cash Flows
   
III. Segment Information
  a. Overview
  b. Consolidated Results
  c. Insurance Segment Results
  d. Reinsurance Segment Results
e. Mortgage Segment Results
f. Segment Consolidated Results
g. Selected Information on Losses and Loss Adjustment Expenses
   
IV. Investment Information
  a. Investable Asset Summary and Investment Portfolio Metrics
b. Composition of Net Investment Income, Yield and Total Return
  c. Composition of Fixed Maturities
d. Credit Quality Distribution and Maturity Profile
e. Analysis of Corporate Exposures
  f. Structured Securities
   
V. Other
  a. Comments on Non-GAAP Financial Measures
  b. Operating Income Reconciliation and Annualized Operating Return on Average Common Equity
c. Operating Income and Effective Tax Rate Calculations
  d. Capital Structure and Share Repurchase Activity

1

Arch Capital Group Ltd. and Subsidiaries
Basis of Presentation
Basis of Presentation
All financial information contained herein is unaudited, however, certain information relating to the consolidated balance sheet at December 31, 2024 is derived from or agrees to audited financial information. Unless otherwise noted, all amounts are in millions, except for per share amounts and ratio information. Amounts presented have been rounded for presentation purposes and may not reconcile due to rounding differences.
Cautionary Note Regarding Forward-Looking Statements
The Private Securities Litigation Reform Act of 1995 provides a “safe harbor” for forward-looking statements. This release or any other written or oral statements made by or on behalf of Arch and its subsidiaries may include forward-looking statements, which reflect the Company’s current views with respect to future events and financial performance. All statements other than statements of historical fact included in or incorporated by reference in this release are forward-looking statements.
Forward-looking statements can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” or their negative or variations or similar terminology. Forward-looking statements involve the Company’s current assessment of risks and uncertainties. Actual events and results may differ materially from those expressed or implied in these statements. A non-exclusive list of the important factors that could cause actual results to differ materially from those in such forward-looking statements includes the following: adverse general economic and market conditions; increased competition; pricing and policy term trends; fluctuations in the actions of rating agencies and the Company’s ability to maintain and improve the Company’s ratings; investment performance; the loss and addition of key personnel; the adequacy of the Company’s loss reserves, severity and/or frequency of losses, greater than expected loss ratios and adverse development on claim and/or claim expense liabilities; greater frequency or severity of unpredictable natural and man-made catastrophic events; the impact of acts of terrorism and acts of war; changes in regulations and/or tax laws in the United States or elsewhere; the Company’s ability to successfully integrate, establish and maintain operating procedures as well as integrate the businesses we have acquired or may acquire into the existing operations; changes in accounting principles or policies; material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements; availability and cost to the Company of reinsurance to manage gross and net exposures; the failure of others to meet their obligations to the Company; an incident, disruption in operations or other cyber event caused by cyber attacks, the use of artificial intelligence technologies or other technology on the Company’s systems or those of the Company’s business partners and service providers, which could negatively impact the Company’s business and/or expose the Company to litigation; and other matters set forth under Item 1A “Risk Factors”, Item 7 “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and other sections of the Company’s Annual Report on Form 10-K for the year ended December 31, 2024, filed with the SEC on February 27, 2025 and of the Company’s latest Quarterly Reports on Form 10-Q, as well as the other factors set forth in the Company’s other documents on file with the SEC, and management’s response to any of the aforementioned factors.
All subsequent written and oral forward-looking statements attributable to the Company or persons acting on its behalf are expressly qualified in their entirety by these cautionary statements. The foregoing review of important factors should not be construed as exhaustive and should be read in conjunction with other cautionary statements that are included herein or elsewhere. The Company's forward-looking statements speak only as of the date of this press release or as of the date they are made, and the Company undertakes no obligation to publicly update or revise any forward-looking statement, whether as a result of new information, future events or otherwise.
2

Arch Capital Group Ltd. and Subsidiaries
Financial Highlights
The following table presents financial highlights:
(U.S. Dollars and shares in millions, except per share data) Three Months Ended Nine Months Ended
September 30, September 30,
2025 2024 Change 2025 2024 Change
Underwriting results:
Gross premiums written $ 5,410  $ 5,440  (0.6) % $ 18,069  $ 16,755  7.8  %
Net premiums written 3,964  4,047  (2.1) % 12,827  11,913  7.7  %
Net premiums earned 4,285  3,970  7.9  % 12,810  10,957  16.9  %
Underwriting income (loss) (1) 871  538  61.9  % 2,106  2,036  3.4  %
Loss ratio 51.4  % 60.5  % (9.1) 55.4  % 54.4  % 1.0 
Acquisition expense ratio 18.4  % 17.2  % 1.2  18.5  % 17.5  % 1.0 
Other operating expense ratio (2) 10.0  % 8.9  % 1.1  9.7  % 9.7  % — 
Combined ratio 79.8  % 86.6  % (6.8) 83.6  % 81.6  % 2.0 
Pre-tax net investment income $ 408  $ 399  2.3  % $ 1,191  $ 1,090  9.3  %
Per diluted share $ 1.08  $ 1.04  3.8  % $ 3.14  $ 2.86  9.8  %
Net income available to Arch common shareholders $ 1,340  $ 978  37.0  % $ 3,131  $ 3,347  (6.5) %
Per diluted share $ 3.56  $ 2.56  39.1  % $ 8.26  $ 8.78  (5.9) %
After-tax operating income available to Arch common shareholders (1) $ 1,042  $ 762  36.7  % $ 2,608  $ 2,676  (2.5) %
Per diluted share $ 2.77  $ 1.99  39.2  % $ 6.88  $ 7.02  (2.0) %
Comprehensive income (loss) available to Arch $ 1,398  $ 1,598  (12.5) % $ 3,881  $ 3,853  0.7  %
Net cash provided by operating activities $ 2,186  $ 2,018  8.3  % $ 4,768  $ 5,100  (6.5) %
Weighted average common shares and common share equivalents outstanding — diluted 376.1  382.3  (1.6) % 379.1  381.3  (0.6) %
Financial measures:          
Change in book value per common share during period 5.3  % 8.1  % (2.8) 17.3  % 21.4  % (4.1)
Annualized net income return on average common equity 23.8  % 19.0  % 4.8  19.5  % 22.9  % (3.4)
Annualized operating return on average common equity (1) 18.5  % 14.8  % 3.7  16.2  % 18.3  % (2.1)
Total return on investments (3) 1.80  % 3.97  % -217 bps 7.07  % 6.20  % 87 bps
 
(1)See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of consolidated underwriting income or loss, after-tax operating income or loss available to Arch common shareholders and annualized operating return on average common equity.
(2)The ‘Other operating expense ratio’ for the 2025 periods include ‘Other underwriting income.’
(3)Total return on investments includes investment income, equity in net income of investments accounted for using the equity method, net realized gains and losses and the change in unrealized gains and losses and is calculated on a pre-tax basis and before investment expenses. See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of the presentation of total return on investments.
3

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Income
(U.S. Dollars and shares in millions, except per share data) Three Months Ended Nine Months Ended
  September 30, June 30, March 31, December 31, September 30, September 30, September 30,
  2025 2025 2025 2024 2024 2025 2024
Revenues              
Net premiums earned $ 4,285  $ 4,337  $ 4,188  $ 4,143  $ 3,970  $ 12,810  $ 10,957 
Net investment income 408  405  378  405  399  1,191  1,090 
Net realized gains (losses) 210  229  (161) 169  442  358 
Other underwriting income (1) 50  62  53  165  20 
Equity in net income of investments accounted for using the equity method 134  162  53  143  171  349  437 
Other income (loss) 22  18  (2) 12  38  30 
Total revenues 5,109  5,213  4,673  4,548  4,722  14,995  12,892 
Expenses
Losses and loss adjustment expenses (2,200) (2,303) (2,587) (2,384) (2,403) (7,090) (5,958)
Acquisition expenses (786) (824) (764) (730) (681) (2,374) (1,921)
Other operating expenses (478) (454) (473) (410) (353) (1,405) (1,062)
Corporate expenses (49) (47) (60) (57) (49) (156) (143)
Amortization of intangible assets (49) (48) (49) (99) (88) (146) (136)
Interest expense (37) (38) (35) (37) (35) (110) (104)
Net foreign exchange gains (losses) (7) (88) (27) 106  (63) (122) (31)
Total expenses (3,606) (3,802) (3,995) (3,611) (3,672) (11,403) (9,355)
Income (loss) before income taxes and income (loss) from operating affiliates 1,503  1,411  678  937  1,050  3,592  3,537 
Income tax (expense) benefit (215) (214) (121) (66) (98) (550) (296)
Income (loss) from operating affiliates 62  40  17  64  36  119  136 
Net income (loss) attributable to Arch 1,350  1,237  574  935  988  3,161  3,377 
Preferred dividends (10) (10) (10) (10) (10) (30) (30)
Net income (loss) available to Arch common shareholders $ 1,340  $ 1,227  $ 564  $ 925  $ 978  $ 3,131  $ 3,347 
Comprehensive income (loss) available to Arch $ 1,398  $ 1,597  $ 886  $ 415  $ 1,598  $ 3,881  $ 3,853 
Net income (loss) per common share and common share equivalent
Basic $ 3.63  $ 3.30  $ 1.51  $ 2.48  $ 2.62  $ 8.43  $ 8.99 
Diluted $ 3.56  $ 3.23  $ 1.48  $ 2.42  $ 2.56  $ 8.26  $ 8.78 
Weighted average common shares and common share equivalents outstanding
Basic 369.0  372.2  372.9  373.3  373.2  371.4  372.3 
Diluted 376.1  379.9  381.9  382.8  382.3  379.1  381.3 

(1)    ‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
4

Arch Capital Group Ltd. and Subsidiaries
Consolidated Balance Sheets

(U.S. Dollars and shares in millions, except per share data) September 30, June 30, March 31, December 31, September 30,
2025 2025 2025 2024 2024
Assets          
Investments:          
Fixed maturities available for sale, at fair value $ 31,908  $ 30,332  $ 28,798  $ 27,035  $ 28,434 
Short-term investments available for sale, at fair value 2,351  2,788  2,477  2,784  3,341 
Equity securities, at fair value 1,805  1,715  1,618  1,675  1,623 
Other investments 3,027  2,892  2,888  3,066  3,261 
Investments accounted for using the equity method 6,232  6,566  6,340  5,980  5,244 
Total investments 45,323  44,293  42,121  40,540  41,903 
Cash 1,063  983  1,187  979  1,025 
Accrued investment income 307  329  267  298  292 
Investment in operating affiliates 1,417  1,356  1,305  1,240  1,236 
Premiums receivable 6,450  7,067  6,607  5,634  6,364 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses 9,070  9,044  8,969  8,260  7,948 
Contractholder receivables 2,287  2,280  2,212  2,161  2,078 
Ceded unearned premiums 3,079  3,229  2,895  2,428  2,935 
Deferred acquisition costs 1,786  1,814  1,785  1,734  1,744 
Receivable for securities sold 695  390  324  50  790 
Goodwill and intangible assets 1,268  1,319  1,308  1,351  1,486 
Other assets 6,440  6,684  6,196  6,231  5,855 
Total assets $ 79,185  $ 78,788  $ 75,176  $ 70,906  $ 73,656 
Liabilities          
Reserve for losses and loss adjustment expenses $ 32,822  $ 32,089  $ 30,946  $ 29,369  $ 28,679 
Unearned premiums 11,124  11,625  11,090  10,218  11,238 
Reinsurance balances payable 2,638  2,841  2,661  2,137  2,586 
Contractholder payables 2,293  2,286  2,218  2,165  2,082 
Collateral held for insured obligations 239  225  245  249  268 
Senior notes 2,728  2,728  2,728  2,728  2,727 
Payable for securities purchased 335  728  578  181  967 
Other liabilities 3,287  3,225  3,165  3,039  2,835 
Total liabilities 55,466  55,747  53,631  50,086  51,382 
Shareholders’ equity          
Non-cumulative preferred shares 830  830  830  830  830 
Common shares
Additional paid-in capital 2,682  2,660  2,588  2,510  2,465 
Retained earnings 25,817  24,477  23,250  22,686  23,642 
Accumulated other comprehensive income (loss), net of deferred income tax —  (48) (408) (720) (200)
Common shares held in treasury, at cost (5,611) (4,879) (4,716) (4,487) (4,464)
Total shareholders’ equity 23,719  23,041  21,545  20,820  22,274 
Total liabilities and shareholders’ equity $ 79,185  $ 78,788  $ 75,176  $ 70,906  $ 73,656 
Common shares and common share equivalents outstanding, net of treasury shares 367.3  375.4  375.6  376.4  376.2 
Book value per common share (1) $ 62.32  $ 59.17  $ 55.15  $ 53.11  $ 57.00 
(1) Excludes the effects of stock options and restricted stock units outstanding.
5

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Changes in Shareholders’ Equity

(U.S. Dollars in millions) Three Months Ended Nine Months Ended
September 30, June 30, March 31, December 31, September 30, September 30, September 30,
2025 2025 2025 2024 2024 2025 2024
Non-cumulative preferred shares              
Balance at beginning and end of period $ 830  $ 830  $ 830  $ 830  $ 830  $ 830  $ 830 
Common shares
Balance at beginning and end of period
Additional paid-in capital
Balance at beginning of period 2,660  2,588  2,510  2,465  2,443  2,510  2,327 
Amortization of share-based compensation 25  25  74  33  16  124  100 
All other (3) 47  12  48  38 
Balance at end of period 2,682  2,660  2,588  2,510  2,465  2,682  2,465 
Retained earnings
Balance at beginning of period 24,477  23,250  22,686  23,642  22,664  22,686  20,295 
Net income 1,350  1,237  574  935  988  3,161  3,377 
Common share dividends —  —  —  (1,881) —  —  — 
Preferred share dividends (10) (10) (10) (10) (10) (30) (30)
Balance at end of period 25,817  24,477  23,250  22,686  23,642  25,817  23,642 
Accumulated other comprehensive income (loss), net of deferred income tax
Balance at beginning of period (48) (408) (720) (200) (810) (720) (676)
Change in unrealized appreciation (decline) in value of available-for-sale investments 47  296  286  (442) 585  629  500 
Change in foreign currency translation adjustments 64  26  (78) 25  91  (24)
Balance at end of period —  (48) (408) (720) (200) —  (200)
Common shares held in treasury, at cost
Balance at beginning of period (4,879) (4,716) (4,487) (4,464) (4,463) (4,487) (4,424)
Shares repurchased for treasury (732) (163) (229) (23) (1) (1,124) (40)
Balance at end of period (5,611) (4,879) (4,716) (4,487) (4,464) (5,611) (4,464)
Total shareholders’ equity $ 23,719  $ 23,041  $ 21,545  $ 20,820  $ 22,274  $ 23,719  $ 22,274 

6

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Cash Flows
(U.S. Dollars in millions) Three Months Ended Nine Months Ended
September 30, June 30, March 31, December 31, September 30, September 30, September 30,
2025 2025 2025 2024 2024 2025 2024
Operating Activities              
Net income (loss) $ 1,350  $ 1,237  $ 574  $ 935  $ 988  $ 3,161  $ 3,377 
Adjustments to reconcile net income to net cash provided by operating activities:
Net realized (gains) losses (202) (225) (6) 176  (165) (433) (361)
Equity in net (income) of investments accounted for using the equity method and other income or loss (158) (95) (12) (152) (162) (265) (336)
Amortization of intangible assets 49  48  49  99  88  146  136 
Share-based compensation 25  25  74  33  16  124  100 
Changes in:
Reserve for losses and loss adjustment expenses, net 634  560  826  832  1,078  2,020  2,447 
Unearned premiums, net (321) 11  327  (324) 77  17  956 
Premiums receivable 601  (352) (942) 686  178  (693) (1,504)
Deferred acquisition costs 14  33  (14) (46) (86) 33  (166)
Reinsurance balances payable (207) 159  504  (410) (27) 456  589 
Deferred income tax assets, net 46  80  29  (96) 16  155  61 
Other items, net 355  (357) 49  (160) 17  47  (199)
Net cash provided by operating activities 2,186  1,124  1,458  1,573  2,018  4,768  5,100 
Investing Activities              
Purchases of fixed maturity investments (10,619) (8,150) (9,418) (9,731) (7,436) (28,187) (21,559)
Purchases of equity securities (277) (179) (808) (491) (278) (1,264) (932)
Purchases of other investments (513) (535) (697) (1,587) (529) (1,745) (1,898)
Proceeds from sales of fixed maturity investments 8,435  6,522  7,301  9,798  5,227  22,258  16,447 
Proceeds from sales of equity securities 281  223  820  428  126  1,324  673 
Proceeds from sales, redemptions and maturities of other investments 336  431  660  834  405  1,427  1,024 
Proceeds from redemptions and maturities of fixed maturity investments 475  568  758  766  392  1,801  1,270 
Net settlements of derivative instruments 35  147  93  (132) 115  275  127 
Net (purchases) sales of short-term investments 478  (242) 294  549  (793) 530  (818)
Acquisitions, net of cash —  —  —  —  852  —  852 
Purchases of fixed assets (12) (12) (9) (13) (12) (33) (38)
Other (2) (1) (2) (1) (32) (5) (29)
Net cash provided by (used for) investing activities (1,383) (1,228) (1,008) 420  (1,963) (3,619) (4,881)
Financing Activities              
Purchases of common shares under share repurchase program (732) (163) (196) (24) —  (1,091) — 
Proceeds from common shares issued, net 47  (28) 20  (2)
Common dividends paid —  (2) (5) (1,866) —  (7) — 
Preferred dividends paid (10) (10) (10) (10) (10) (30) (30)
Other (2) —  (2) (3) (4) (3)
Net cash provided by (used for) financing activities (743) (128) (241) (1,890) (7) (1,112) (35)
Effects of exchange rate changes on foreign currency cash and restricted cash (14) 55  16  (55) 37  57  30 
Increase (decrease) in cash and restricted cash 46  (177) 225  48  85  94  214 
Cash and restricted cash, beginning of period 1,808  1,985  1,760  1,712  1,627  1,760  1,498 
Cash and restricted cash, end of period $ 1,854  $ 1,808  $ 1,985  $ 1,760  $ 1,712  $ 1,854  $ 1,712 
Income taxes paid (received) $ 166  $ 131  $ 18  $ 157  $ 76  $ 315  $ 221 
Interest paid $ —  $ 64  $ —  $ 64  $ —  $ 64  $ 63 
7

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Overview

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. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for its three underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment and, accordingly, investment income is not allocated to each underwriting segment.
The Company determined its reportable operating 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.
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.
Reinsurance Segment
The Company’s reinsurance segment offers reinsurance products on a worldwide basis. Lines of business include: casualty; marine and aviation; specialty; property catastrophe; property excluding property catastrophe; and other.
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 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 and losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains and losses realized from acquisition or disposition of subsidiaries), equity in net income or loss of investments accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes items, income or loss from operating affiliates and items related to the Company’s non cumulative preferred shares.
8

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in millions) Three Months Ended
September 30, 2025
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 2,567  $ 2,515  $ 330  $ 5,410 
Premiums ceded (1) (614) (778) (56) (1,446)
Net premiums written 1,953  1,737  274  3,964 
Change in unearned premiums 16  278  27  321 
Net premiums earned 1,969  2,015  301  4,285 
Other underwriting income (2) 38  50 
Losses and loss adjustment expenses (1,162) (1,040) (2,200)
Acquisition expenses (386) (398) (2) (786)
Other operating expenses (301) (133) (44) (478)
Underwriting income (loss) $ 129  $ 482  $ 260  871 
Net investment income 408 
Net realized gains (losses) 210 
Equity in net income of investments accounted for using the equity method 134 
Other income (loss) 22 
Corporate expenses (3) (28)
Transaction costs and other (3) (21)
Amortization of intangible assets (49)
Interest expense (37)
Net foreign exchange gains (losses) (7)
Income (loss) before income taxes and income (loss) from operating affiliates 1,503 
Income tax (expense) benefit (215)
Income (loss) from operating affiliates 62 
Net income (loss) available to Arch 1,350 
Preferred dividends (10)
Net income (loss) available to Arch common shareholders $ 1,340 
Underwriting Ratios
Loss ratio 59.0  % 51.6  % (0.5) % 51.4  %
Acquisition expense ratio 19.6  % 19.8  % 0.7  % 18.4  %
Other operating expense ratio (4) 14.8  % 4.7  % 13.3  % 10.0  %
Combined ratio 93.4  % 76.1  % 13.5  % 79.8  %
Net premiums written to gross premiums written 76.1  % 69.1  % 83.0  % 73.3  %
Total investable assets $ 46,746 
Total assets 79,185 
Total liabilities 55,466 

(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)    ‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(3)    Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of such items.
(4)    The ‘Other operating expense ratio’ for the 2025 period includes ‘Other underwriting income.’
9

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in millions) 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 — 
Losses and loss adjustment expenses (1,087) (1,317) (2,403)
Acquisition expenses (308) (374) (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 of investments accounted for using the equity method 171 
Other income (loss)
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  %
Net premiums written to gross premiums written 77.7  % 70.4  % 83.2  % 74.4  %
Total investable assets $ 42,751 
Total assets 73,656 
Total liabilities 51,382 
(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.’ See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of such items.
10

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in millions) Nine Months Ended
September 30, 2025
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 7,893  $ 9,205  $ 979  $ 18,069 
Premiums ceded (1) (1,971) (3,093) (186) (5,242)
Net premiums written 5,922  6,112  793  12,827 
Change in unearned premiums (124) 18  89  (17)
Net premiums earned 5,798  6,130  882  12,810 
Other underwriting income (2) 25  123  17  165 
Losses and loss adjustment expenses (3,568) (3,524) (7,090)
Acquisition expenses (1,116) (1,251) (7) (2,374)
Other operating expenses (883) (378) (144) (1,405)
Underwriting income (loss) $ 256  $ 1,100  $ 750  2,106 
Net investment income 1,191 
Net realized gains (losses) 442 
Equity in net income of investments accounted for using the equity method 349 
Other income (loss) 38 
Corporate expenses (3) (107)
Transaction costs and other (3) (49)
Amortization of intangible assets (146)
Interest expense (110)
Net foreign exchange gains (losses) (122)
Income (loss) before income taxes and income (loss) from operating affiliates 3,592 
Income tax (expense) benefit (550)
Income (loss) from operating affiliates 119 
Net income (loss) available to Arch 3,161 
Preferred dividends (30)
Net income (loss) available to Arch common shareholders $ 3,131 
Underwriting Ratios
Loss ratio 61.5  % 57.5  % (0.2) % 55.4  %
Acquisition expense ratio 19.3  % 20.4  % 0.8  % 18.5  %
Other operating expense ratio (4) 14.8  % 4.2  % 14.3  % 9.7  %
Combined ratio 95.6  % 82.1  % 14.9  % 83.6  %
Net premiums written to gross premiums written 75.0  % 66.4  % 81.0  % 71.0  %
 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
(2)    ‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(3)    Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of such items.
(4)    The ‘Other operating expense ratio’ for the 2025 period includes ‘Other underwriting income.’
11

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in millions) 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 —  15  20 
Losses and loss adjustment expenses (2,789) (3,206) 37  (5,958)
Acquisition expenses (872) (1,050) (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 of investments 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  %
Net premiums written to gross premiums written 74.9  % 67.1  % 81.9  % 71.1  %
 
(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.’ See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of such items.

12

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Insurance Segment
(U.S. Dollars in millions) Three Months Ended Nine Months Ended
  September 30, June 30, March 31, December 31, September 30, September 30, September 30,
  2025 2025 2025 2024 2024 2025 2024
Gross premiums written $ 2,567  $ 2,681  $ 2,645  $ 2,484  $ 2,341  $ 7,893  $ 6,569 
Premiums ceded (614) (645) (712) (530) (521) (1,971) (1,649)
Net premiums written 1,953  2,036  1,933  1,954  1,820  5,922  4,920 
Change in unearned premiums 16  (67) (73) (21) (55) (124) (226)
Net premiums earned 1,969  1,969  1,860  1,933  1,765  5,798  4,694 
Other underwriting income (1) 13  —  —  25  — 
Losses and loss adjustment expenses (1,162) (1,178) (1,228) (1,281) (1,087) (3,568) (2,789)
Acquisition expenses (386) (387) (343) (345) (308) (1,116) (872)
Other operating expenses (301) (288) (294) (277) (250) (883) (718)
Underwriting income (loss) $ 129  $ 129  $ (2) $ 30  $ 120  $ 256  $ 315 
Underwriting Ratios
Loss ratio 59.0  % 59.8  % 66.0  % 66.3  % 61.6  % 61.5  % 59.4  %
Acquisition expense ratio 19.6  % 19.6  % 18.5  % 17.9  % 17.4  % 19.3  % 18.6  %
Other operating expense ratio (2) 14.8  % 14.0  % 15.6  % 14.3  % 14.1  % 14.8  % 15.3  %
Combined ratio 93.4  % 93.4  % 100.1  % 98.5  % 93.1  % 95.6  % 93.3  %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 2.2  % 2.9  % 9.5  % 8.3  % 4.9  % 4.8  % 3.0  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (0.1) % (0.1) % (0.5) % (0.1) % (0.7) % (0.2) % (0.5) %
Combined ratio excluding catastrophic activity and prior year development (3) 91.3  % 90.6  % 91.1  % 90.3  % 88.9  % 91.0  % 90.8  %
Net premiums written to gross premiums written 76.1  % 75.9  % 73.1  % 78.7  % 77.7  % 75.0  % 74.9  %
 
(1)‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(2)The ‘Other operating expense ratio’ for the 2025 periods include ‘Other underwriting income.’
(3)See ‘Comments on Non-GAAP Financial Measures’ for further discussion.

13

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Insurance Segment
(U.S. Dollars in millions) Three Months Ended Nine Months Ended
  September 30, June 30, March 31, December 31, September 30, September 30, September 30,
  2025 2025 2025 2024 2024 2025 2024
Net Premiums Written by Line of Business
North America
Property and short-tail specialty $ 339  17.4  % $ 369  18.1  % $ 348  18.0  % $ 364  18.6  % $ 296  16.3  % $ 1,056  17.8  % $ 856  17.4  %
Other liability - occurrence 297  15.2  % 366  18.0  % 330  17.1  % 342  17.5  % 253  13.9  % 993  16.8  % 660  13.4  %
Other liability - claims made 209  10.7  % 206  10.1  % 149  7.7  % 215  11.0  % 228  12.5  % 564  9.5  % 643  13.1  %
Commercial multi-peril 194  9.9  % 205  10.1  % 198  10.2  % 195  10.0  % 163  9.0  % 597  10.1  % 266  5.4  %
Workers compensation 151  7.7  % 130  6.4  % 153  7.9  % 153  7.8  % 147  8.1  % 434  7.3  % 402  8.2  %
Commercial automobile 150  7.7  % 165  8.1  % 161  8.3  % 116  5.9  % 134  7.4  % 476  8.0  % 369  7.5  %
Other 86  4.4  % 89  4.4  % 76  3.9  % 63  3.2  % 81  4.5  % 251  4.2  % 225  4.6  %
Total North America $ 1,426  73.0  % $ 1,530  75.1  % $ 1,415  73.2  % $ 1,448  74.1  % $ 1,302  71.5  % $ 4,371  73.8  % $ 3,421  69.5  %
International
Property and short-tail specialty $ 287  14.7  % $ 299  14.7  % $ 274  14.2  % $ 263  13.5  % $ 287  15.8  % $ 860  14.5  % $ 830  16.9  %
Casualty and other 240  12.3  % 207  10.2  % 244  12.6  % 243  12.4  % 231  12.7  % 691  11.7  % 669  13.6  %
Total International $ 527  27.0  % $ 506  24.9  % $ 518  26.8  % $ 506  25.9  % $ 518  28.5  % $ 1,551  26.2  % $ 1,499  30.5  %
Total $ 1,953  100.0  % $ 2,036  100.0  % $ 1,933  100.0  % $ 1,954  100.0  % $ 1,820  100.0  % $ 5,922  100.0  % $ 4,920  100.0  %
Net Premiums Earned by Line of Business
North America
Property and short-tail specialty $ 339  17.2  % $ 363  18.4  % $ 333  17.9  % $ 332  17.2  % $ 306  17.3  % $ 1,035  17.9  % $ 833  17.7  %
Other liability - occurrence 329  16.7  % 338  17.2  % 329  17.7  % 327  16.9  % 265  15.0  % 996  17.2  % 615  13.1  %
Other liability - claims made 205  10.4  % 186  9.4  % 192  10.3  % 210  10.9  % 213  12.1  % 583  10.1  % 633  13.5  %
Commercial multi-peril 195  9.9  % 203  10.3  % 201  10.8  % 189  9.8  % 146  8.3  % 599  10.3  % 246  5.2  %
Workers compensation 160  8.1  % 147  7.5  % 131  7.0  % 155  8.0  % 135  7.6  % 438  7.6  % 394  8.4  %
Commercial automobile 143  7.3  % 147  7.5  % 145  7.8  % 130  6.7  % 122  6.9  % 435  7.5  % 329  7.0  %
Other 70  3.6  % 71  3.6  % 72  3.9  % 74  3.8  % 79  4.5  % 213  3.7  % 235  5.0  %
Total North America $ 1,441  73.2  % $ 1,455  73.9  % $ 1,403  75.4  % $ 1,417  73.3  % $ 1,266  71.7  % $ 4,299  74.1  % $ 3,285  70.0  %
International
Property and short-tail specialty $ 296  15.0  % $ 282  14.3  % $ 243  13.1  % $ 294  15.2  % $ 283  16.0  % $ 821  14.2  % $ 779  16.6  %
Casualty and other 232  11.8  % 232  11.8  % 214  11.5  % 222  11.5  % 216  12.2  % 678  11.7  % 630  13.4  %
Total International $ 528  26.8  % $ 514  26.1  % $ 457  24.6  % $ 516  26.7  % $ 499  28.3  % $ 1,499  25.9  % $ 1,409  30.0  %
Total $ 1,969  100.0  % $ 1,969  100.0  % $ 1,860  100.0  % $ 1,933  100.0  % $ 1,765  100.0  % $ 5,798  100.0  % $ 4,694  100.0  %
14

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Reinsurance Segment
(U.S. Dollars in millions) Three Months Ended Nine Months Ended
  September 30, June 30, March 31, December 31, September 30, September 30, September 30,
  2025 2025 2025 2024 2024 2025 2024
Gross premiums written $ 2,515  $ 3,196  $ 3,494  $ 1,941  $ 2,763  $ 9,205  $ 9,171 
Premiums ceded (778) (1,137) (1,178) (353) (818) (3,093) (3,013)
Net premiums written 1,737  2,059  2,316  1,588  1,945  6,112  6,158 
Change in unearned premiums 278  28  (288) 316  (53) 18  (820)
Net premiums earned 2,015  2,087  2,028  1,904  1,892  6,130  5,338 
Other underwriting income (1) 38  46  39  123 
Losses and loss adjustment expenses (1,040) (1,128) (1,356) (1,121) (1,317) (3,524) (3,206)
Acquisition expenses (398) (436) (417) (382) (374) (1,251) (1,050)
Other operating expenses (133) (118) (127) (77) (54) (378) (193)
Underwriting income (loss) $ 482  $ 451  $ 167  $ 328  $ 149  $ 1,100  $ 894 
Underwriting Ratios
Loss ratio 51.6  % 54.1  % 66.9  % 58.9  % 69.6  % 57.5  % 60.1  %
Acquisition expense ratio 19.8  % 20.9  % 20.6  % 20.0  % 19.8  % 20.4  % 19.7  %
Other operating expense ratio (2) 4.7  % 3.5  % 4.3  % 4.1  % 2.9  % 4.2  % 3.6  %
Combined ratio 76.1  % 78.5  % 91.8  % 83.0  % 92.3  % 82.1  % 83.4  %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 1.5  % 4.6  % 18.3  % 12.2  % 19.3  % 8.1  % 10.5  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (2.2) % (3.3) % (4.5) % (4.0) % (1.9) % (3.3) % (2.0) %
Combined ratio excluding catastrophic activity and prior year development (3) 76.8  % 77.2  % 78.0  % 74.8  % 74.9  % 77.3  % 74.9  %
Net premiums written to gross premiums written 69.1  % 64.4  % 66.3  % 81.8  % 70.4  % 66.4  % 67.1  %
 
(1)‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(2)The ‘Other operating expense ratio’ for the 2025 periods include ‘Other underwriting income.’
(3)See ‘Comments on Non-GAAP Financial Measures’ for further discussion.
15

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Reinsurance Segment
(U.S. Dollars in millions) Three Months Ended Nine Months Ended
  September 30, June 30, March 31, December 31, September 30, September 30, September 30,
  2025 2025 2025 2024 2024 2025 2024
Net Premiums Written by Line of Business
Specialty $ 633  36.4  % $ 729  35.4  % $ 594  25.6  % $ 701  44.1  % $ 769  39.5  % $ 1,956  32.0  % $ 2,148  34.9  %
Property excluding property catastrophe 557  32.1  % 430  20.9  % 581  25.1  % 441  27.8  % 671  34.5  % 1,568  25.7  % 1,823  29.6  %
Casualty 399  23.0  % 308  15.0  % 499  21.5  % 279  17.6  % 339  17.4  % 1,206  19.7  % 943  15.3  %
Property catastrophe 64  3.7  % 484  23.5  % 477  20.6  % 84  5.3  % 52  2.7  % 1,025  16.8  % 874  14.2  %
Marine and aviation 60  3.5  % 68  3.3  % 121  5.2  % 43  2.7  % 69  3.5  % 249  4.1  % 257  4.2  %
Other 24  1.4  % 40  1.9  % 44  1.9  % 40  2.5  % 45  2.3  % 108  1.8  % 113  1.8  %
Total $ 1,737  100.0  % $ 2,059  100.0  % $ 2,316  100.0  % $ 1,588  100.0  % $ 1,945  100.0  % $ 6,112  100.0  % $ 6,158  100.0  %
Net Premiums Earned by Line of Business
Specialty $ 719  35.7  % $ 760  36.4  % $ 727  35.8  % $ 685  36.0  % $ 688  36.4  % $ 2,206  36.0  % $ 1,934  36.2  %
Property excluding property catastrophe 581  28.8  % 587  28.1  % 548  27.0  % 602  31.6  % 540  28.5  % 1,716  28.0  % 1,546  29.0  %
Casualty 360  17.9  % 355  17.0  % 325  16.0  % 290  15.2  % 282  14.9  % 1,040  17.0  % 798  14.9  %
Property catastrophe 253  12.6  % 260  12.5  % 306  15.1  % 223  11.7  % 256  13.5  % 819  13.4  % 736  13.8  %
Marine and aviation 77  3.8  % 82  3.9  % 80  3.9  % 62  3.3  % 80  4.2  % 239  3.9  % 214  4.0  %
Other 25  1.2  % 43  2.1  % 42  2.1  % 42  2.2  % 46  2.4  % 110  1.8  % 110  2.1  %
Total $ 2,015  100.0  % $ 2,087  100.0  % $ 2,028  100.0  % $ 1,904  100.0  % $ 1,892  100.0  % $ 6,130  100.0  % $ 5,338  100.0  %
Net Premiums Written by Underwriting Location
Bermuda $ 761  43.8  % $ 1,060  51.5  % $ 1,154  49.8  % $ 672  42.3  % $ 671  34.5  % $ 2,975  48.7  % $ 2,753  44.7  %
United States 488  28.1  % 447  21.7  % 477  20.6  % 478  30.1  % 744  38.3  % 1,412  23.1  % 1,657  26.9  %
Europe and other 488  28.1  % 552  26.8  % 685  29.6  % 438  27.6  % 530  27.2  % 1,725  28.2  % 1,748  28.4  %
Total $ 1,737  100.0  % $ 2,059  100.0  % $ 2,316  100.0  % $ 1,588  100.0  % $ 1,945  100.0  % $ 6,112  100.0  % $ 6,158  100.0  %
                    
16

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in millions) Three Months Ended Nine Months Ended
  September 30, June 30, March 31, December 31, September 30, September 30, September 30,
2025 2025 2025 2024 2024 2025 2024
Gross premiums written $ 330  $ 323  $ 326  $ 331  $ 339  $ 979  $ 1,020 
Premiums ceded (56) (70) (60) (54) (57) (186) (185)
Net premiums written 274  253  266  277  282  793  835 
Change in unearned premiums 27  28  34  29  31  89  90 
Net premiums earned 301  281  300  306  313  882  925 
Other underwriting income (1) 11  17  15 
Losses and loss adjustment expenses (3) 18  37 
Acquisition expenses (2) (1) (4) (3) (7)
Other operating expenses (44) (48) (52) (56) (49) (144) (151)
Underwriting income $ 260  $ 238  $ 252  $ 267  $ 269  $ 750  $ 827 
Underwriting Ratios
Loss ratio (0.5) % (1.2) % 1.1  % (5.9) % (0.4) % (0.2) % (4.0) %
Acquisition expense ratio 0.7  % 0.4  % 1.3  % 1.0  % (0.4) % 0.8  % (0.1) %
Other operating expense ratio (2) 13.3  % 16.0  % 13.7  % 18.3  % 15.6  % 14.3  % 16.3  %
Combined ratio 13.5  % 15.2  % 16.1  % 13.4  % 14.8  % 14.9  % 12.2  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (19.2) % (24.1) % (21.8) % (22.3) % (22.8) % (21.7) % (25.8) %
Combined ratio excluding prior year development (3) 32.7  % 39.3  % 37.9  % 35.7  % 37.6  % 36.6  % 38.0  %
Net premiums written to gross premiums written 83.0  % 78.3  % 81.6  % 83.7  % 83.2  % 81.0  % 81.9  %

(1)‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(2)The ‘Other operating expense ratio’ for the 2025 periods include ‘Other underwriting income.’
(3)    See ‘Comments on Non-GAAP Financial Measures’ for further discussion.

17

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in millions) Three Months Ended Nine Months Ended
  September 30, June 30, March 31, December 31, September 30, September 30, September 30,
  2025 2025 2025 2024 2024 2025 2024
Net Premiums Written by Underwriting Unit
U.S. primary mortgage insurance $ 197  71.9  % $ 184  72.7  % $ 203  76.3  % $ 208  75.1  % $ 209  74.1  % $ 584  73.6  % $ 612  73.3  %
U.S. credit risk transfer (CRT) and other 55  20.1  % 51  20.2  % 50  18.8  % 51  18.4  % 54  19.1  % 156  19.7  % 161  19.3  %
International mortgage insurance/reinsurance 22  8.0  % 18  7.1  % 13  4.9  % 18  6.5  % 19  6.7  % 53  6.7  % 62  7.4  %
Total $ 274  100.0  % $ 253  100.0  % $ 266  100.0  % $ 277  100.0  % $ 282  100.0  % $ 793  100.0  % $ 835  100.0  %
Net Premiums Earned by Underwriting Unit
U.S. primary mortgage insurance $ 204  67.8  % $ 188  66.9  % $ 209  69.7  % $ 215  70.3  % $ 215  68.7  % $ 601  68.1  % $ 630  68.1  %
U.S. credit risk transfer (CRT) and other 55  18.3  % 51  18.1  % 50  16.7  % 51  16.7  % 55  17.6  % 156  17.7  % 162  17.5  %
International mortgage insurance/reinsurance 42  14.0  % 42  14.9  % 41  13.7  % 40  13.1  % 43  13.7  % 125  14.2  % 133  14.4  %
Total $ 301  100.0  % $ 281  100.0  % $ 300  100.0  % $ 306  100.0  % $ 313  100.0  % $ 882  100.0  % $ 925  100.0  %
Net Premiums Written by Underwriting Location
United States $ 197  71.9  % $ 184  72.7  % $ 203  76.3  % $ 208  75.1  % $ 210  74.5  % $ 584  73.6  % $ 615  73.7  %
Other 77  28.1  % 69  27.3  % 63  23.7  % 69  24.9  % 72  25.5  % 209  26.4  % 220  26.3  %
Total $ 274  100.0  % $ 253  100.0  % $ 266  100.0  % $ 277  100.0  % $ 282  100.0  % $ 793  100.0  % $ 835  100.0  %
(U.S. Dollars in millions)
September 30, 2025 June 30, 2025 March 31, 2025 December 31, 2024 September 30, 2024
Insurance In Force (IIF) (1)
U.S. primary mortgage insurance $ 286,785  57.9  % $ 286,410  57.7  % $ 287,768  58.2  % $ 290,435  58.0  % $ 292,313  57.2  %
U.S. credit risk transfer (CRT) and other 141,889  28.7  % 145,883  29.4  % 144,517  29.2  % 145,892  29.1  % 148,417  29.0  %
International mortgage insurance/reinsurance 66,277  13.4  % 64,374  13.0  % 62,487  12.6  % 64,822  12.9  % 70,380  13.8  %
Total $ 494,951  100.0  % $ 496,667  100.0  % $ 494,772  100.0  % $ 501,149  100.0  % $ 511,110  100.0  %
Risk In Force (RIF) (2)
U.S. primary mortgage insurance $ 74,952  84.9  % $ 74,948  85.1  % $ 75,300  85.5  % $ 76,034  85.3  % $ 76,448  84.6  %
U.S. credit risk transfer and other 5,688  6.4  % 5,892  6.7  % 5,842  6.6  % 5,876  6.6  % 6,011  6.7  %
International mortgage insurance/reinsurance 7,633  8.6  % 7,221  8.2  % 6,896  7.8  % 7,215  8.1  % 7,887  8.7  %
Total $ 88,273  100.0  % $ 88,061  100.0  % $ 88,038  100.0  % $ 89,125  100.0  % $ 90,346  100.0  %
(1) The aggregate dollar amount of each insured mortgage loan’s current principal balance. Such amounts are shown before external reinsurance.
(2) The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for risk-sharing or reinsurance transactions. Such amounts are shown before external reinsurance.
18

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
The following table provides supplemental disclosures for the Company’s U.S. primary mortgage insurance operations:
(U.S. Dollars in millions)
September 30, 2025 June 30, 2025 March 31, 2025 December 31, 2024 September 30, 2024
Total RIF by credit quality:
>=740 $ 47,575  63.5  % $ 47,261  63.1  % $ 47,130  62.6  % $ 47,360  62.3  % $ 47,414  62.0  %
680-739 23,638  31.5  % 23,880  31.9  % 24,274  32.2  % 24,688  32.5  % 24,974  32.7  %
620-679 3,419  4.6  % 3,479  4.6  % 3,558  4.7  % 3,638  4.8  % 3,701  4.8  %
<620 320  0.4  % 328  0.4  % 338  0.4  % 348  0.5  % 359  0.5  %
Total $ 74,952  100.0  % $ 74,948  100.0  % $ 75,300  100.0  % $ 76,034  100.0  % $ 76,448  100.0  %
Weighted average credit score 749  749  748  748  748 
Total RIF by Loan-To-Value (LTV):
95.01% and above $ 7,362  9.8  % $ 7,361  9.8  % $ 7,383  9.8  % $ 7,420  9.8  % $ 7,415  9.7  %
90.01% to 95.00% 44,720  59.7  % 44,711  59.7  % 44,901  59.6  % 45,311  59.6  % 45,509  59.5  %
85.01% to 90.00% 20,251  27.0  % 20,293  27.1  % 20,420  27.1  % 20,637  27.1  % 20,746  27.1  %
85.00% and below 2,619  3.5  % 2,583  3.4  % 2,596  3.4  % 2,666  3.5  % 2,778  3.6  %
Total $ 74,952  100.0  % $ 74,948  100.0  % $ 75,300  100.0  % $ 76,034  100.0  % $ 76,448  100.0  %
Weighted average LTV 93.2  % 93.2  % 93.2  % 93.2  % 93.1  %
Total RIF by State:
California $ 5,892  7.9  % $ 5,894  7.9  % $ 5,909  7.8  % $ 5,989  7.9  % $ 6,052  7.9  %
Texas 5,393  7.2  % 5,432  7.2  % 5,506  7.3  % 5,613  7.4  % 5,699  7.5  %
North Carolina 3,358  4.5  % 3,347  4.5  % 3,340  4.4  % 3,355  4.4  % 3,353  4.4  %
Minnesota 3,137  4.2  % 3,147  4.2  % 3,085  4.1  % 3,108  4.1  % 3,111  4.1  %
Illinois 3,046  4.1  % 3,033  4.0  % 3,025  4.0  % 3,056  4.0  % 3,085  4.0  %
Georgia 3,043  4.1  % 3,063  4.1  % 3,104  4.1  % 3,143  4.1  % 3,145  4.1  %
Massachusetts 2,829  3.8  % 2,841  3.8  % 2,853  3.8  % 2,885  3.8  % 2,896  3.8  %
Michigan 2,822  3.8  % 2,816  3.8  % 2,838  3.8  % 2,855  3.8  % 2,876  3.8  %
Ohio 2,697  3.6  % 2,702  3.6  % 2,701  3.6  % 2,716  3.6  % 2,717  3.6  %
Florida 2,690  3.6  % 2,714  3.6  % 2,758  3.7  % 2,824  3.7  % 2,880  3.8  %
Other 40,045  53.4  % 39,959  53.3  % 40,181  53.4  % 40,490  53.3  % 40,634  53.2  %
Total $ 74,952  100.0  % $ 74,948  100.0  % $ 75,300  100.0  % $ 76,034  100.0  % $ 76,448  100.0  %
Weighted average coverage (end of period RIF divided by IIF) 26.1  % 26.2  % 26.2  % 26.2  % 26.2  %
U.S. mortgage insurance total RIF, net of reinsurance (1) $ 60,662  $ 60,436  $ 60,226  $ 60,085  $ 60,421 
Analysts’ persistency (2) 82.3  % 81.9  % 81.9  % 82.1  % 82.9  %
Risk-to-capital ratio -- Arch MI U.S. (3) 7.9:1 8.3:1 7.8:1 7.8:1 7.3:1
PMIER sufficiency ratio -- Arch MI U.S. (4) 176  % 168  % 186  % 186  % 205  %
(1) Total RIF for the U.S. mortgage insurance operations after external reinsurance.
(2) Represents the % of IIF at the beginning of a 12-mo. period that remained in force at the end of the period.
(3) Represents current (non-delinquent) RIF, net of reinsurance, divided by statutory capital (estimate for September 30, 2025).
(4) 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 became effective on 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, 2025, the changes would have reduced the available assets by 5% and resulted in a pro-forma PMIERs Sufficiency Ratio of 172%.
19

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
The following table provides supplemental disclosures for the Company’s U.S. primary mortgage insurance operations:
(U.S. Dollars in millions, except policy/loan/claim count) Three Months Ended
September 30, 2025 June 30, 2025 March 31, 2025 December 31, 2024 September 30, 2024
Total new insurance written (NIW) (1) $ 12,965  $ 12,254  $ 9,190  $ 11,818  $ 13,526 
Total NIW by credit quality:
>=740 $ 9,850  76.0  % $ 9,411  76.8  % $ 6,835  74.4  % $ 8,495  71.9  % $ 9,438  69.8  %
680-739 2,753  21.2  % 2,527  20.6  % 2,103  22.9  % 2,920  24.7  % 3,584  26.5  %
620-679 359  2.8  % 313  2.6  % 249  2.7  % 401  3.4  % 502  3.7  %
<620 0.0  % 0.0  % 0.0  % 0.0  % 0.0  %
  Total $ 12,965  100.0  % $ 12,254  100.0  % $ 9,190  100.0  % $ 11,818  100.0  % $ 13,526  100.0  %
Total NIW by LTV:
95.01% and above $ 1,038  8.0  % $ 814  6.6  % $ 756  8.2  % $ 919  7.8  % $ 1,089  8.1  %
90.01% to 95.00% 5,668  43.7  % 5,632  46.0  % 4,374  47.6  % 5,743  48.6  % 6,620  48.9  %
85.01% to 90.00% 4,323  33.3  % 3,945  32.2  % 2,920  31.8  % 3,771  31.9  % 4,293  31.7  %
85.00% and below 1,936  14.9  % 1,863  15.2  % 1,140  12.4  % 1,385  11.7  % 1,524  11.3  %
  Total $ 12,965  100.0  % $ 12,254  100.0  % $ 9,190  100.0  % $ 11,818  100.0  % $ 13,526  100.0  %
Total NIW monthly vs. single:
Monthly $ 12,267  94.6  % $ 11,779  96.1  % $ 8,497  92.5  % $ 11,328  95.9  % $ 12,581  93.0  %
Single 698  5.4  % 475  3.9  % 693  7.5  % 490  4.1  % 945  7.0  %
  Total $ 12,965  100.0  % $ 12,254  100.0  % $ 9,190  100.0  % $ 11,818  100.0  % $ 13,526  100.0  %
Total NIW purchase vs. refinance:
Purchase $ 12,319  95.0  % $ 11,633  94.9  % $ 8,795  95.7  % $ 11,020  93.2  % $ 13,177  97.4  %
Refinance 646  5.0  % 621  5.1  % 395  4.3  % 798  6.8  % 349  2.6  %
  Total $ 12,965  100.0  % $ 12,254  100.0  % $ 9,190  100.0  % $ 11,818  100.0  % $ 13,526  100.0  %
Ending number of policies in force (PIF) (2) 1,067,147  1,073,477  1,085,927  1,100,653  1,114,251 
Rollforward of insured loans in default:
Beginning delinquent number of loans 20,762  21,299  22,982  21,878  20,422 
Plus: new notices 12,168  10,856  11,529  12,738  12,613 
Less: cures (10,715) (11,085) (12,920) (11,264) (10,819)
Less: paid claims (394) (308) (292) (370) (338)
Ending delinquent number of loans (2) 21,821  20,762  21,299  22,982  21,878 
Ending percentage of loans in default (2) 2.04  % 1.93  % 1.96  % 2.09  % 1.96  %
Losses:
Number of claims paid 394  308  292  370  338 
Total paid claims (in thousands) $ 12,934  $ 12,703  $ 11,950  $ 12,679  $ 12,874 
Average paid per claim (in thousands) $ 32.8  $ 41.2  $ 40.9  $ 34.3  $ 38.1 
Severity (3) 73.2  % 75.3  % 76.8  % 77.7  % 71.9  %
Average case reserve per default (in thousands) $ 16.1  $ 16.8  $ 16.7  $ 15.3  $ 15.9 
(1)    The original principal balance of all loans that received coverage during the period.
(2)    Includes first lien primary and pool policies.    
(3)    Represents total direct first lien paid claims divided by RIF of loans for which claims were paid, excluding paid claim settlements.
20

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
The following table provides supplemental disclosures for the Company’s U.S. primary mortgage insurance operations:
(U.S. Dollars in millions)
September 30, 2025 December 31, 2024
Loss Reserves, Net (1) Primary IIF (2) Primary RIF (3) Delinquency Rate Loss Reserves, Net (1) Primary IIF (2) Primary RIF (3) Delinquency Rate
% of Total Total % of Total Total % of Total % of Total Total % of Total Total % of Total
Policy year:
2015 and prior 27.6  % $ 16,567  5.8  % $ 4,221  5.6  % 5.34  % 36.1  % $ 18,329  6.3  % $ 4,670  6.1  % 5.85  %
2016 2.4  % 3,484  1.2  % 870  1.2  % 3.41  % 3.4  % 5,240  1.8  % 1,371  1.8  % 3.23  %
2017 4.2  % 4,553  1.6  % 1,212  1.6  % 3.51  % 4.7  % 5,554  1.9  % 1,489  2.0  % 3.52  %
2018 6.4  % 6,062  2.1  % 1,579  2.1  % 4.18  % 7.0  % 7,081  2.4  % 1,843  2.4  % 4.31  %
2019 7.5  % 11,092  3.9  % 2,911  3.9  % 2.90  % 7.6  % 12,919  4.4  % 3,386  4.5  % 2.85  %
2020 11.7  % 33,095  11.5  % 9,049  12.1  % 1.65  % 10.9  % 39,426  13.6  % 10,718  14.1  % 1.52  %
2021 16.3  % 52,827  18.4  % 14,425  19.2  % 1.73  % 14.2  % 62,382  21.5  % 16,620  21.9  % 1.52  %
2022 13.8  % 51,437  17.9  % 13,712  18.3  % 1.72  % 10.8  % 57,175  19.7  % 15,113  19.9  % 1.51  %
2023 6.5  % 33,165  11.6  % 8,548  11.4  % 1.51  % 4.4  % 36,827  12.7  % 9,479  12.5  % 1.12  %
2024 3.7  % 41,681  14.5  % 10,418  13.9  % 0.85  % 0.9  % 45,502  15.7  % 11,345  14.9  % 0.30  %
2025 0.2  % 32,822  11.4  % 8,007  10.7  % 0.12  %
Total 100.0  % $ 286,785  100.0  % $ 74,952  100.0  % 2.04  % 100.0  % $ 290,435  100.0  % $ 76,034  100.0  % 2.09  %

(1)    Total reserves for losses and loss adjustment expenses, net of recoverables, was $322.1 million at September 30, 2025, compared to $332.6 million at December 31, 2024.
(2)    The aggregate dollar amount of each insured mortgage loan’s current principal balance.
(3)    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 transactions.


21

Arch Capital Group Ltd. and Subsidiaries
Segment Information - Consolidated

(U.S. Dollars in millions) Three Months Ended Nine Months Ended
  September 30, June 30, March 31, December 31, September 30, September 30, September 30,
  2025 2025 2025 2024 2024 2025 2024
Gross premiums written $ 5,410  $ 6,196  $ 6,463  $ 4,756  $ 5,440  $ 18,069  $ 16,755 
Premiums ceded (1,446) (1,848) (1,948) (937) (1,393) (5,242) (4,842)
Net premiums written 3,964  4,348  4,515  3,819  4,047  12,827  11,913 
Change in unearned premiums 321  (11) (327) 324  (77) (17) (956)
Net premiums earned 4,285  4,337  4,188  4,143  3,970  12,810  10,957 
Other underwriting income 50  62  53  165  20 
Losses and loss adjustment expenses (2,200) (2,303) (2,587) (2,384) (2,403) (7,090) (5,958)
Acquisition expenses (786) (824) (764) (730) (681) (2,374) (1,921)
Other operating expenses (478) (454) (473) (410) (353) (1,405) (1,062)
Underwriting income (loss) (1) $ 871  $ 818  $ 417  $ 625  $ 538  $ 2,106  $ 2,036 
Underwriting Ratios
Loss ratio 51.4  % 53.1  % 61.8  % 57.5  % 60.5  % 55.4  % 54.4  %
Acquisition expense ratio 18.4  % 19.0  % 18.3  % 17.6  % 17.2  % 18.5  % 17.5  %
Other operating expense ratio 10.0  % 9.1  % 10.0  % 9.9  % 8.9  % 9.7  % 9.7  %
Combined ratio 79.8  % 81.2  % 90.1  % 85.0  % 86.6  % 83.6  % 81.6  %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 1.7  % 3.5  % 13.1  % 9.5  % 11.3  % 6.0  % 6.4  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (2.4) % (3.2) % (4.0) % (3.5) % (3.0) % (3.2) % (3.4) %
Combined ratio excluding catastrophic activity and prior year development (1) 80.5  % 80.9  % 81.0  % 79.0  % 78.3  % 80.8  % 78.6  %
Components of losses and loss adjustment expenses incurred
Paid losses and loss adjustment expenses $ 1,569  $ 1,744  $ 1,761  $ 1,554  $ 1,329  $ 5,074  $ 3,519 
Change in unpaid losses and loss adjustment expenses 631  559  826  830  1,074  2,016  2,439 
Total losses and loss adjustment expenses $ 2,200  $ 2,303  $ 2,587  $ 2,384  $ 2,403  $ 7,090  $ 5,958 
Net premiums written to gross premiums written 73.3  % 70.2  % 69.9  % 80.3  % 74.4  % 71.0  % 71.1  %
 
(1)See ‘Comments on Non-GAAP Financial Measures’ for further discussion.


22

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Selected Information on Losses and Loss Adjustment Expenses

(U.S. Dollars in millions) Three Months Ended Nine Months Ended
  September 30, June 30, March 31, December 31, September 30, September 30, September 30,
  2025 2025 2025 2024 2024 2025 2024
Estimated net (favorable) adverse development in prior year loss reserves, net of related adjustments
Net impact on underwriting results:
Insurance $ (2) $ (2) $ (10) $ (2) $ (12) $ (14) $ (23)
Reinsurance (44) (69) (92) (76) (36) (205) (108)
Mortgage (57) (68) (65) (68) (71) (190) (238)
Total $ (103) $ (139) $ (167) $ (146) $ (119) $ (409) $ (369)
Impact on losses and loss adjustment expenses:
Insurance $ (14) $ (8) $ (17) $ (6) $ (16) $ (39) $ (31)
Reinsurance (53) (81) (119) (73) (41) (253) (115)
Mortgage (54) (64) (61) (62) (64) (179) (220)
Total $ (121) $ (153) $ (197) $ (141) $ (121) $ (471) $ (366)
Impact on acquisition expenses:
Insurance $ 12  $ $ $ $ $ 25  $
Reinsurance 12  27  (3) 48 
Mortgage (3) (4) (4) (6) (7) (11) (18)
Total $ 18  $ 14  $ 30  $ (5) $ $ 62  $ (3)
Impact on combined ratio:
Insurance (0.1) % (0.1) % (0.5) % (0.1) % (0.7) % (0.2) % (0.5) %
Reinsurance (2.2) % (3.3) % (4.5) % (4.0) % (1.9) % (3.3) % (2.0) %
Mortgage (19.2) % (24.1) % (21.8) % (22.3) % (22.8) % (21.7) % (25.8) %
Total (2.4) % (3.2) % (4.0) % (3.5) % (3.0) % (3.2) % (3.4) %
Impact on loss ratio:
Insurance (0.7) % (0.4) % (0.9) % (0.3) % (0.9) % (0.7) % (0.6) %
Reinsurance (2.6) % (3.9) % (5.9) % (3.8) % (2.2) % (4.1) % (2.2) %
Mortgage (18.1) % (22.8) % (20.4) % (20.2) % (20.5) % (20.4) % (23.9) %
Total (2.8) % (3.5) % (4.7) % (3.4) % (3.1) % (3.7) % (3.3) %
Impact on acquisition expense ratio:
Insurance 0.6  % 0.3  % 0.4  % 0.2  % 0.2  % 0.5  % 0.1  %
Reinsurance 0.4  % 0.6  % 1.4  % (0.2) % 0.3  % 0.8  % 0.2  %
Mortgage (1.1) % (1.3) % (1.4) % (2.1) % (2.3) % (1.3) % (1.9) %
Total 0.4  % 0.3  % 0.7  % (0.1) % 0.1  % 0.5  % (0.1) %
Estimated net losses incurred from current accident year catastrophic events (1)
Insurance $ 43  $ 58  $ 177  $ 161  $ 86  $ 278  $ 143 
Reinsurance 29  96  370  232  364  495  561 
Total $ 72  $ 154  $ 547  $ 393  $ 450  $ 773  $ 704 
Impact on combined ratio:
Insurance 2.2  % 2.9  % 9.5  % 8.3  % 4.9  % 4.8  % 3.0  %
Reinsurance 1.5  % 4.6  % 18.3  % 12.2  % 19.3  % 8.1  % 10.5  %
Total 1.7  % 3.5  % 13.1  % 9.5  % 11.3  % 6.0  % 6.4  %
(1)Equals estimated losses from catastrophic events occurring in the current accident year (e.g. natural catastrophes, man-made events, pandemic events), net of reinsurance and reinstatement premiums. As regards the natural catastrophe estimates included within, amounts shown for the insurance and reinsurance segments generally include (i) North American events with a Property Claim Services ("PCS") code and (ii) named catastrophic events outside of North America. Amounts not applicable for the mortgage segment.
23

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Investable Asset Summary and Investment Portfolio Metrics
The following table summarizes the Company’s investable assets and portfolio metrics:
(U.S. Dollars in millions) September 30, June 30, March 31, December 31, September 30,
2025 2025 2025 2024 2024
Investable assets:
Fixed maturities available for sale, at fair value $ 31,908  68.3  % $ 30,332  67.5  % $ 28,798  66.9  % $ 27,035  65.3  % $ 28,434  66.5  %
Fixed maturities—fair value option (1) 1,050  2.2  % 1,009  2.2  % 913  2.1  % 854  2.1  % 1,097  2.6  %
Total fixed maturities 32,958  70.5  % 31,341  69.7  % 29,711  69.0  % 27,889  67.4  % 29,531  69.1  %
Equity securities, at fair value 1,805  3.9  % 1,715  3.8  % 1,618  3.8  % 1,675  4.0  % 1,623  3.8  %
Equity securities—fair value option (1) 0.0  % 0.0  % 0.0  % 0.0  % 0.0  %
Total equity securities 1,810  3.9  % 1,720  3.8  % 1,623  3.8  % 1,682  4.1  % 1,630  3.8  %
Other investments—fair value option (1) 1,911  4.1  % 1,810  4.0  % 1,866  4.3  % 2,135  5.2  % 2,096  4.9  %
Investments accounted for using the equity method (2) 6,232  13.3  % 6,566  14.6  % 6,340  14.7  % 5,980  14.4  % 5,244  12.3  %
Short-term investments available for sale, at fair value 2,351  5.0  % 2,788  6.2  % 2,477  5.8  % 2,784  6.7  % 3,341  7.8  %
Short-term investments—fair value option (1) 61  0.1  % 68  0.2  % 104  0.2  % 70  0.2  % 61  0.1  %
Total short-term investments 2,412  5.2  % 2,856  6.4  % 2,581  6.0  % 2,854  6.9  % 3,402  8.0  %
Cash 1,063  2.3  % 983  2.2  % 1,187  2.8  % 979  2.4  % 1,025  2.4  %
Securities transactions entered into but not settled at the balance sheet date 360  0.8  % (338) (0.8) % (254) (0.6) % (131) (0.3) % (177) (0.4) %
Total investable assets held by the Company $ 46,746  100.0  % $ 44,938  100.0  % $ 43,054  100.0  % $ 41,388  100.0  % $ 42,751  100.0  %
Average effective duration of fixed maturities (in years) (3) 3.24  3.48  3.32  3.31   3.14
Average S&P/Moody’s credit ratings (4)  AA-/Aa3  AA-/Aa3  AA-/Aa3  AA-/Aa3  AA-/Aa3  
(1)     Included in “other investments” on the balance sheet.
(2)    Changes in the carrying value of investments accounted for using the equity method are recorded as “equity in net income of investments accounted for using the equity method” rather than as                 an unrealized gain or loss component of accumulated other comprehensive income.
(3)     During the 2024 fourth quarter, the Company changed its presentation from a total portfolio duration to a duration on fixed maturities and short-term investments.
(4)    Average credit ratings on the Company’s investment portfolio on securities with ratings assigned by Standard & Poor’s (“S&P”) and Moody’s Investors Service (“Moody’s”).
24

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Composition of Net Investment Income, Yield and Total Return

The following table summarizes the Company’s net investment income, yield and total return:
(U.S. Dollars in millions, except per share data) Three Months Ended Nine Months Ended
  September 30, June 30, March 31, December 31, September 30, September 30, September 30,
  2025 2025 2025 2024 2024 2025 2024
Composition of pre-tax net investment income:              
Fixed maturities $ 379  $ 360  $ 342  $ 340  $ 340  $ 1,081  $ 926 
Short-term investments 25  24  26  42  38  75  102 
Equity securities (dividends) 10  10  11  13  31  27 
Other (1) 19  35  28  33  35  82  103 
Gross investment income 433  429  407  428  422  1,269  1,158 
Investment expenses (25) (24) (29) (23) (23) (78) (68)
Pre-tax net investment income $ 408  $ 405  $ 378  $ 405  $ 399  $ 1,191  $ 1,090 
Per share $ 1.08  $ 1.07  $ 0.99  $ 1.06  $ 1.04  $ 3.14  $ 2.86 
Pre-tax equity in net income of investments accounted for using the equity method 134  162  53  143  171  349  437 
Per share $ 0.36  $ 0.43  $ 0.14  $ 0.37  $ 0.45  $ 0.92  $ 1.15 
Investment income yield, at amortized cost (2):
Pre-tax 4.07  % 4.25  % 4.16  % 4.32  % 4.40  % 4.16  % 4.29  %
After-tax 3.32  % 3.43  % 3.35  % 3.83  % 3.88  % 3.37  % 3.77  %
Total return on investments (3) 1.80  % 3.09  % 2.02  % (1.05) % 3.97  % 7.07  % 6.20  %
(1)Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other.
(2)Presented on an annualized basis and excluding the impact of investments for which returns are not included within investment income, such as investments accounted for using the equity method and certain equities.
(3)Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains and losses (excluding changes in allowance for credit losses on non-investment related financial assets) and the change in unrealized gains or losses and is calculated on a pre-tax basis and before investment expenses. See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of the presentation of total return on investments.

25

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Composition of Fixed Maturities
 
The following table summarizes the Company’s fixed maturities:
(U.S. Dollars in millions)
Fair
Value
Gross
Unrealized
Gains
Gross
Unrealized
Losses
Net
Unrealized
Gains (Losses)
Allowance
for Credit Losses
Amortized
Cost
Fair Value /
Amortized Cost
Fair Value
% of Total
At September 30, 2025
Corporates $ 16,044  $ 301  $ (173) $ 128  $ (14) $ 15,930  100.7  % 48.7  %
U.S. government and government agencies 6,331  23  (31) (8) —  6,339  99.9  % 19.2  %
Non-U.S. government securities 3,245  59  (81) (22) (1) 3,268  99.3  % 9.8  %
Asset-backed securities 3,149  22  (19) (6) 3,152  99.9  % 9.6  %
Residential mortgage-backed securities 2,766  30  (22) —  2,758  100.3  % 8.4  %
Commercial mortgage-backed securities 1,249  10  (6) —  1,245  100.3  % 3.8  %
Municipal bonds 174  —  (5) (5) —  179  97.2  % 0.5  %
Total $ 32,958  $ 445  $ (337) $ 108  $ (21) $ 32,871  100.3  % 100.0  %
At December 31, 2024
Corporates $ 13,319  $ 110  $ (346) $ (236) $ (12) $ 13,567  98.2  % 47.8  %
U.S. government and government agencies 6,724  (149) (141) —  6,865  97.9  % 24.1  %
Non-U.S. government securities 2,546  30  (107) (77) (1) 2,624  97.0  % 9.1  %
Asset-backed securities 2,900  19  (32) (13) (8) 2,921  99.3  % 10.4  %
Residential mortgage-backed securities 1,079  (31) (25) —  1,104  97.7  % 3.9  %
Commercial mortgage-backed securities 1,058  (11) (5) (1) 1,064  99.4  % 3.8  %
Municipal bonds 263  —  (16) (16) —  279  94.3  % 0.9  %
Total $ 27,889  $ 179  $ (692) $ (513) $ (22) $ 28,424  98.1  % 100.0  %



26

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Credit Quality Distribution and Maturity Profile

The following table summarizes the credit quality distribution and maturity profile of the Company’s fixed maturities:
(U.S. Dollars in millions) September 30, June 30, March 31, December 31, September 30,
2025 2025 2025 2024 2024
Credit quality distribution of total fixed maturities (1):
U.S. government and government agencies (2) $ 8,409  25.5  % $ 8,355  26.7  % $ 7,827  26.3  % $ 7,498  26.9  % $ 6,725  22.8  %
AAA 5,425  16.5  % 4,745  15.1  % 4,698  15.8  % 4,330  15.5  % 4,876  16.5  %
AA 2,449  7.4  % 2,491  7.9  % 2,287  7.7  % 2,285  8.2  % 2,552  8.6  %
A 6,904  20.9  % 6,645  21.2  % 5,931  20.0  % 5,138  18.4  % 5,664  19.2  %
BBB 7,167  21.7  % 6,673  21.3  % 6,625  22.3  % 6,467  23.2  % 7,361  24.9  %
BB 1,175  3.6  % 1,110  3.5  % 1,051  3.5  % 978  3.5  % 1,097  3.7  %
B 685  2.1  % 657  2.1  % 605  2.0  % 458  1.6  % 534  1.8  %
Lower than B 29  0.1  % 30  0.1  % 26  0.1  % 28  0.1  % 37  0.1  %
Not rated 715  2.2  % 635  2.0  % 661  2.2  % 707  2.5  % 685  2.3  %
Total fixed maturities, at fair value $ 32,958  100.0  % $ 31,341  100.0  % $ 29,711  100.0  % $ 27,889  100.0  % $ 29,531  100.0  %
Maturity profile of total fixed maturities:
Due in one year or less $ 570  1.7  % $ 518  1.7  % $ 533  1.8  % $ 486  1.7  % $ 506  1.7  %
Due after one year through five years 17,379  52.7  % 17,632  56.3  % 16,570  55.8  % 15,880  56.9  % 16,255  55.0  %
Due after five years through ten years 7,047  21.4  % 6,350  20.3  % 6,179  20.8  % 5,993  21.5  % 6,760  22.9  %
Due after 10 years 798  2.4  % 847  2.7  % 656  2.2  % 493  1.8  % 562  1.9  %
25,794  78.3  % 25,347  80.9  % 23,938  80.6  % 22,852  81.9  % 24,083  81.6  %
Residential mortgage-backed securities 2,766  8.4  % 2,386  7.6  % 1,755  5.9  % 1,079  3.9  % 1,313  4.4  %
Commercial mortgage-backed securities 1,249  3.8  % 838  2.7  % 931  3.1  % 1,058  3.8  % 1,146  3.9  %
Asset-backed securities 3,149  9.6  % 2,770  8.8  % 3,087  10.4  % 2,900  10.4  % 2,989  10.1  %
Total fixed maturities, at fair value $ 32,958  100.0  % $ 31,341  100.0  % $ 29,711  100.0  % $ 27,889  100.0  % $ 29,531  100.0  %

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


27

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Analysis of Corporate Exposures

The following table summarizes the Company’s corporate bonds by sector:
(U.S. Dollars in millions) September 30, June 30, March 31, December 31, September 30,
2025 2025 2025 2024 2024
Sector:
Industrials $ 8,262  51.5  % $ 7,974  51.7  % $ 7,157  49.1  % $ 6,673  50.1  % $ 8,145  54.0  %
Financials 6,251  39.0  % 5,939  38.5  % 5,881  40.3  % 5,207  39.1  % 5,208  34.5  %
Utilities 1,225  7.6  % 1,201  7.8  % 1,039  7.1  % 951  7.1  % 1,237  8.2  %
All other (1) 306  1.9  % 303  2.0  % 512  3.5  % 488  3.7  % 491  3.3  %
Total $ 16,044  100.0  % $ 15,417  100.0  % $ 14,589  100.0  % $ 13,319  100.0  % $ 15,081  100.0  %
Credit quality distribution (2):
AAA $ 195  1.2  % $ 180  1.2  % $ 194  1.3  % $ 196  1.5  % $ 241  1.6  %
AA 807  5.0  % 953  6.2  % 915  6.3  % 918  6.9  % 1,002  6.6  %
A 5,882  36.7  % 5,712  37.1  % 5,092  34.9  % 4,248  31.9  % 4,771  31.6  %
BBB 6,891  43.0  % 6,392  41.5  % 6,308  43.2  % 6,119  45.9  % 7,022  46.6  %
BB 1,128  7.0  % 1,054  6.8  % 1,001  6.9  % 900  6.8  % 1,019  6.8  %
B 676  4.2  % 652  4.2  % 604  4.1  % 454  3.4  % 529  3.5  %
Lower than B 29  0.2  % 30  0.2  % 26  0.2  % 28  0.2  % 37  0.2  %
Not rated 436  2.7  % 444  2.9  % 449  3.1  % 456  3.4  % 460  3.1  %
Total $ 16,044  100.0  % $ 15,417  100.0  % $ 14,589  100.0  % $ 13,319  100.0  % $ 15,081  100.0  %

(1)    Includes sovereign securities, supranational securities and other.
(2)    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.

The following table summarizes the Company’s top ten exposures to fixed income corporate issuers by fair value at September 30, 2025:
(U.S. Dollars in millions) Fair
Value
% of Asset Class % of Investable Assets Credit Quality (1)
Issuer:
JPMorgan Chase & Co. $ 415  2.6  % 0.9  % A/A1
Morgan Stanley 400  2.5  % 0.9  % A/A1
Bank of America Corporation 358  2.2  % 0.8  % A-/A1
Wells Fargo & Company 291  1.8  % 0.6  % BBB+/A1
The Goldman Sachs Group, Inc. 271  1.7  % 0.6  % A-/A2
Citigroup Inc. 241  1.5  % 0.5  % A-/A2
Philip Morris International Inc. 194  1.2  % 0.4  % A-/A2
The Toronto-Dominion Bank 181  1.1  % 0.4  % A-/A2
Blue Owl Capital Inc. 171  1.1  % 0.4  % BBB-/Baa3
UBS Group AG 164  1.0  % 0.4  % A-/A2
Total $ 2,686  16.7  % 5.7  %
 
(1)    Average credit ratings assigned by S&P and Moody’s, respectively.

28

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Structured Securities

The following table provides the composition of the Company’s structured securities:
(U.S. Dollars in millions) Agencies AAA AA A BBB Non-Investment Grade Total
At September 30, 2025            
Residential mortgage-backed securities $ 2,071  $ 648  $ $ —  $ —  $ 45  $ 2,766 
Commercial mortgage-backed securities 751  221  47  146  78  1,249 
Asset-backed securities —  1,736  315  772  122  204  3,149 
Total $ 2,077  $ 3,135  $ 538  $ 819  $ 268  $ 327  $ 7,164 
At December 31, 2024
Residential mortgage-backed securities $ 769  $ 309  $ —  $ $ —  $ —  $ 1,079 
Commercial mortgage-backed securities 556  193  63  147  92  1,058 
Asset-backed securities —  1,432  336  715  184  233  2,900 
Total $ 776  $ 2,297  $ 529  $ 779  $ 331  $ 325  $ 5,037 
29

Arch Capital Group Ltd. and Subsidiaries
Comments on Non-GAAP Financial Measures
Throughout this financial supplement, the Company presents its operations in the way it believes will be the most meaningful and useful to investors, analysts, rating agencies and others who use the Company’s financial information in evaluating the performance of the 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 and losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains and losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, net of income taxes and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included on the following page.
The Company believes that net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other, in any particular period are not indicative of the performance of, or trends in, the Company’s business. Although net realized gains or losses, equity in net income or loss of investments accounted for using the equity method and net foreign exchange gains or losses are an integral part of the Company’s operations, the decision to realize these items are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of the Company’s financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in the allowance for credit losses and net impairment losses recognized in earnings on the Company’s investments represent other-than-temporary declines in expected recovery values on securities without actual realization.
The use of the equity method on certain of the Company’s investments in certain funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). This method of accounting is different from the way the Company accounts for its other fixed maturity securities and the timing of the recognition of equity in net income or loss of investments accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments.
Transaction costs and other include advisory, financing, legal, severance, incentive compensation and other transaction costs related to acquisitions. The Company believes that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, the Company’s business performance.

The Company believes that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of the Company’s business since the Company evaluates the performance of and manages its business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, the Company believes that this presentation enables investors and other users of the Company’s financial information to analyze the Company’s performance in a manner similar to how the Company’s management analyzes performance. The Company also believes that this measure follows industry practice and, therefore, allows the users of the Company’s financial information to compare the Company’s performance with its industry peer group. The Company believes that the equity analysts and certain rating agencies that follow the Company and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.
The Company’s segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss. Such measures represent the pre-tax profitability of the Company’s 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 the Company’s 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 the Segment Information footnote to the Company’s 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 on pages 9 to 12.
In addition, the Company’s segment information includes the use of a combined ratio excluding catastrophic activity and prior year development, for the insurance and reinsurance segments, and a combined ratio excluding prior year development, for the mortgage segment. These ratios are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to the combined ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G are shown on the individual segment pages. The Company’s management utilizes the adjusted combined ratios excluding current accident year catastrophic events and favorable or adverse development in prior year loss reserves in its analysis of the underwriting performance of each of its underwriting segments. Effective in the 2025 first quarter, the ‘Other operating expense ratio’ includes ‘Other underwriting income.’
Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains and losses (excluding changes in the allowance for credit losses on non-investment related financial assets) and the change in unrealized gains and losses generated by the Company’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. Management uses total return on investments as a key measure of the return generated to Arch common shareholders, and compares the return generated by the Company’s investment portfolio against benchmark returns during the periods presented.
30

Arch Capital Group Ltd. and Subsidiaries
Operating Income Reconciliation and Annualized Operating Return on Average Common Equity
The following table summarizes the Company’s consolidated financial data, including a reconciliation of net income (loss) available to Arch common shareholders to after-tax operating income (loss) available to Arch common shareholders and related diluted per share results:
(U.S. Dollars and shares in millions, except per share data) Three Months Ended Nine Months Ended
  September 30, June 30, March 31, December 31, September 30, September 30, September 30,
  2025 2025 2025 2024 2024 2025 2024
Net income available to Arch common shareholders $ 1,340  $ 1,227  $ 564  $ 925  $ 978  $ 3,131  $ 3,347 
Net realized (gains) losses (1) (210) (229) (3) 161  (169) (442) (358)
Equity in net (income) of investments accounted for using the equity method (134) (162) (53) (143) (171) (349) (437)
Net foreign exchange (gains) losses 88  27  (106) 63  122  31 
Transaction costs and other 21  18  10  26  30  49  55 
Income tax expense (benefit) (2) 18  37  42  31  97  38 
After-tax operating income available to Arch common shareholders $ 1,042  $ 979  $ 587  $ 866  $ 762  $ 2,608  $ 2,676 
Diluted per common share results:
Net income available to Arch common shareholders $ 3.56  $ 3.23  $ 1.48  $ 2.42  $ 2.56  $ 8.26  $ 8.78 
Net realized (gains) losses (1) (0.56) (0.60) (0.01) 0.41  (0.44) (1.17) (0.94)
Equity in net (income) of investments accounted for using the equity method (0.36) (0.43) (0.14) (0.37) (0.45) (0.93) (1.15)
Net foreign exchange (gains) losses 0.02  0.23  0.07  (0.28) 0.16  0.32  0.09 
Transaction costs and other 0.06  0.05  0.03  0.07  0.08  0.14  0.15 
Income tax expense (benefit) (2) 0.05  0.10  0.11  0.01  0.08  0.26  0.09 
After-tax operating income available to Arch common shareholders $ 2.77  $ 2.58  $ 1.54  $ 2.26  $ 1.99  $ 6.88  $ 7.02 
Weighted average common shares and common share equivalents outstanding - diluted 376.1  379.9  381.9  382.8  382.3  379.1  381.3 
Beginning common shareholders’ equity $ 22,211  $ 20,715  $ 19,990  $ 21,444  $ 19,835  $ 19,990  $ 17,523 
Ending common shareholders’ equity 22,889  22,211  20,715  19,990  21,444  22,889  21,444 
Average common shareholders’ equity $ 22,550  $ 21,463  $ 20,353  $ 20,717  $ 20,640  $ 21,440  $ 19,484 
Annualized net income return on average common equity 23.8  % 22.9  % 11.1  % 17.9  % 19.0  % 19.5  % 22.9  %
Annualized operating return on average common equity 18.5  % 18.2  % 11.5  % 16.7  % 14.8  % 16.2  % 18.3  %

(1)    Net realized gains or losses include realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains and losses realized from the acquisition or disposition of subsidiaries.
(2)    Income tax expense (benefit) on net realized gains or losses, equity in net income of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.

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Arch Capital Group Ltd. and Subsidiaries
Operating Income and Effective Tax Rate Calculations
The following table provides a reconciliation of income (loss) before income taxes to after-tax operating income (loss) available to Arch common shareholders and an analysis of the effective tax rate on pre-tax operating income (loss) available to Arch common shareholders:
(U.S. Dollars in millions) Three Months Ended Nine Months Ended
September 30, June 30, March 31, December 31, September 30, September 30, September 30,
  2025 2025 2025 2024 2024 2025 2024
Arch Operating Income Components:
Income (loss) before income taxes and income (loss) from operating affiliates $ 1,503  $ 1,411  $ 678  $ 937  $ 1,050  $ 3,592  $ 3,537 
Net realized (gains) losses (210) (229) (3) 161  (169) (442) (358)
Equity in net (income) of investments accounted for using the equity method (134) (162) (53) (143) (171) (349) (437)
Net foreign exchange (gains) losses 88  27  (106) 63  122  32 
Transaction costs and other 21  18  10  26  30  49  55 
Income (loss) from operating affiliates
62  40  17  64  36  119  136 
Pre-tax operating income available to Arch (b) 1,249  1,166  676  939  839  3,091  2,965 
Income tax (expense) benefit (a) (197) (177) (79) (63) (67) (453) (259)
After-tax operating income available to Arch 1,052  989  597  876  772  2,638  2,706 
Preferred dividends (10) (10) (10) (10) (10) (30) (30)
After-tax operating income available to Arch common shareholders $ 1,042  $ 979  $ 587  $ 866  $ 762  $ 2,608  $ 2,676 
Effective tax rate on pre-tax operating income (loss) available to Arch (a)/(b) 15.8  % 15.2  % 11.7  % 6.7  % 8.0  % 14.7  % 8.7  %

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Arch Capital Group Ltd. and Subsidiaries
Capital Structure and Share Repurchase Activity
The following table provides an analysis of the Company’s capital structure:
(U.S. Dollars and shares in millions, except per share data) September 30, June 30, March 31, December 31, September 30,
2025 2025 2025 2024 2024
Debt:
Arch senior notes, due May 1, 2034 ($300 principal, 7.35%) $ 300  $ 300  $ 300  $ 300  $ 300 
Arch-U.S. senior notes, due Nov. 1, 2043 ($500 principal, 5.144%) (1) 500  500  500  500  500 
Arch Finance senior notes, due December 15, 2026 ($500 principal, 4.011%) (2) 500  500  500  500  500 
Arch Finance senior notes, due December 15, 2046 ($450 principal, 5.031%) (2) 450  450  450  450  450 
Arch senior notes, due June 30, 2050 ($1,000 principal, 3.635%) 1,000  1,000  1,000  1,000  1,000 
Deferred debt costs on senior notes (22) (22) (22) (22) (23)
Revolving credit agreement borrowings, due August 23, 2028 —  —  —  —  — 
Total debt $ 2,728  $ 2,728  $ 2,728  $ 2,728  $ 2,727 
Shareholders’ equity available to Arch:
Series F non-cumulative preferred shares (5.45%) 330  330  330  330  330 
Series G non-cumulative preferred shares (4.55%) 500  500  500  500  500 
Common shareholders’ equity (a) 22,889  22,211  20,715  19,990  21,444 
Total shareholders’ equity available to Arch $ 23,719  $ 23,041  $ 21,545  $ 20,820  $ 22,274 
Total capital available to Arch $ 26,447  $ 25,769  $ 24,273  $ 23,548  $ 25,001 
Common shares outstanding, net of treasury shares (b) 367.3  375.4  375.6  376.4  376.2 
Book value per common share (3) (a)/(b) $ 62.32  $ 59.17  $ 55.15  $ 53.11  $ 57.00 
Leverage ratios:
Senior notes/total capital available to Arch 10.3  % 10.6  % 11.2  % 11.6  % 10.9  %
Revolving credit agreement borrowings/total capital available to Arch —  % —  % —  % —  % —  %
Debt/total capital available to Arch 10.3  % 10.6  % 11.2  % 11.6  % 10.9  %
Preferred/total capital available to Arch 3.1  % 3.2  % 3.4  % 3.5  % 3.3  %
Debt and preferred/total capital available to Arch 13.5  % 13.8  % 14.7  % 15.1  % 14.2  %

(1)    Issued by Arch Capital Group (U.S.) Inc. (“Arch-U.S.”), a wholly owned subsidiary of Arch, and fully and unconditionally guaranteed by Arch.
(2)    Issued by Arch Capital Finance LLC (“Arch Finance”), a wholly owned subsidiary of Arch U.S. MI Holdings Inc., and fully and unconditionally guaranteed by Arch.
(3)    Excludes the effects of stock options, restricted and performance stock units outstanding.

The following table provides the impact of share repurchases under the Company’s share repurchase program:
(U.S. Dollars and shares in millions, except per share data) Three Months Ended Cumulative
  September 30, June 30, March 31, December 31, September 30, September 30,
  2025 2025 2025 2024 2024 2025
Effect of share repurchases:
Aggregate cost of shares repurchased $ 732.3  $ 163.2  $ 196.4  $ 24  $ —  $ 6,985.1 
Shares repurchased 8.2  1.9  2.2  0.3  —  446.1 
Average price per share repurchased $ 88.82  $ 87.94  $ 88.89  $ 89.63  $ —  $ 15.66 
Remaining share repurchase authorization (1) $ 1,904.9 
(1)    Repurchases under the share repurchase authorization may be effected from time to time in open market or privately negotiated transactions. On September 4, 2025, the Company increased its authorization for its existing share repurchase program by $2.0 billion.
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