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UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

WASHINGTON, D.C.  20549

FORM 10-Q

(Mark One)

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

For the quarterly period ended September 30, 2009

Or

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

Commission file number:  001-26456

ARCH CAPITAL GROUP LTD.

(Exact name of registrant as specified in its charter)

Bermuda

(State or other jurisdiction of incorporation or organization)

Not Applicable

(I.R.S. Employer Identification No.)

Wessex House, 45 Reid Street

Hamilton HM 12, Bermuda

(Address of principal executive offices)

(441) 278-9250

(Registrant’s telephone number, including area code)

Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during the preceding 12 months (or for such shorter period that the registrant was required to file such reports), and (2) has been subject to such filing requirements for the past 90 days.  Yes x  No o

Indicate by check mark whether the registrant has submitted electronically and posted on its corporate Web site, if any, every Interactive Data File required to be submitted and posted pursuant to Rule 405 of Regulation S-T (§232.405 of this chapter) during the preceding 12 months (or for such shorter period that the registrant was required to submit and post such files).  Yes o  No o

Indicate by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, or a smaller reporting company. See the definitions of “large accelerated filer,” “accelerated filer” and “smaller reporting company” in Rule 12b-2 of the Exchange Act.

Indicate by check mark whether the Registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act).  Yes o  No x

Indicate the number of shares outstanding of each of the issuer’s classes of common shares as of the latest practicable date.

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ARCH CAPITAL GROUP LTD.

INDEX

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Report of Independent Registered Public Accounting Firm

To The Board of Directors and Shareholders of

Arch Capital Group Ltd.:

We have reviewed the accompanying consolidated balance sheet of Arch Capital Group Ltd. and its subsidiaries (the “Company”) as of September 30, 2009, and the related consolidated statements of income for the three-month and nine-month periods ended September 30, 2009 and September 30, 2008, and the consolidated statement of changes in shareholders’ equity, comprehensive income and cash flows for the nine-month periods ended September 30, 2009 and September 30, 2008.  These interim financial statements are the responsibility of the Company’s management.

We conducted our review in accordance with the standards of the Public Company Accounting Oversight Board (United States).  A review of interim financial information consists principally of applying analytical procedures and making inquiries of persons responsible for financial and accounting matters.  It is substantially less in scope than an audit conducted in accordance with the standards of the Public Company Accounting Oversight Board (United States), the objective of which is the expression of an opinion regarding the financial statements taken as a whole.  Accordingly, we do not express such an opinion.

Based on our review, we are not aware of any material modifications that should be made to the accompanying consolidated interim financial statements for them to be in conformity with accounting principles generally accepted in the United States of America.

As discussed in Note 8 to the consolidated financial statements, the Company changed the manner in which it accounts for other-than-temporary impairment losses in 2009.

We previously audited, in accordance with the standards of the Public Company Accounting Oversight Board (United States), the consolidated balance sheet as of December 31, 2008, and the related consolidated statements of income, changes in shareholders’ equity, comprehensive income and of cash flows for the year then ended (not presented herein), and in our report dated March 2, 2009 we expressed an unqualified opinion on those consolidated financial statements.  In our opinion, the information set forth in the accompanying consolidated balance sheet as of December 31, 2008 is fairly stated in all material respects in relation to the consolidated balance sheet from which it has been derived.

New York, New York

November 9, 2009

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CONSOLIDATED BALANCE SHEETS

(U.S. dollars in thousands, except share data)

See Notes to Consolidated Financial Statements

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CONSOLIDATED STATEMENTS OF INCOME

(U.S. dollars in thousands, except share data)

See Notes to Consolidated Financial Statements

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CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS’ EQUITY

(U.S. dollars in thousands)

(1)          Adoption of recent accounting guidance regarding the recognition and presentation of other-than-temporary impairments.

See Notes to Consolidated Financial Statements

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CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME

(U.S. dollars in thousands)

See Notes to Consolidated Financial Statements

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CONSOLIDATED STATEMENTS OF CASH FLOWS

(U.S. dollars in thousands)

See Notes to Consolidated Financial Statements

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

1.      General

Arch Capital Group Ltd. (“ACGL”) is a Bermuda public limited liability company which provides insurance and reinsurance on a worldwide basis through its wholly owned subsidiaries.

The interim consolidated financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America (“GAAP”) and include the accounts of ACGL and its wholly owned subsidiaries (together with ACGL, the “Company”). All significant intercompany transactions and balances have been eliminated in consolidation. The preparation of financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and disclosure of contingent assets and liabilities at the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. Actual results could differ from those estimates and assumptions. In the opinion of management, the accompanying unaudited interim consolidated financial statements reflect all adjustments (consisting of normally recurring accruals) necessary for a fair statement of results on an interim basis. The results of any interim period are not necessarily indicative of the results for a full year or any future periods.

Certain information and footnote disclosures normally included in financial statements prepared in accordance with GAAP have been condensed or omitted; however, management believes that the disclosures are adequate to make the information presented not misleading. This report should be read in conjunction with the Company’s Annual Report on Form 10-K for the year ended December 31, 2008, including the Company’s audited consolidated financial statements and related notes and the section entitled “Risk Factors.”

To facilitate period-to-period comparisons, certain amounts in the 2008 consolidated financial statements have been reclassified to conform to the 2009 presentation. Such reclassifications had no effect on the Company’s consolidated net income. Additionally, the Company adopted recent accounting guidance regarding the recognition and presentation of other-than-temporary impairments, effective for its interim period ending March 31, 2009. See Note 8, “Investment Information—Other-Than-Temporary Impairments” for further details.

2.      Recent Accounting Pronouncements

In September 2009, the FASB issued an Accounting Standards Update (“ASU”) regarding the estimation of the fair value of investments in certain entities that calculate net asset value per share (or its equivalent). This ASU provides additional guidance on estimating the fair value of certain alternative investments and its provisions create a practical expedient to measure the fair value of an alternative investment on the basis of the net asset value per share of the investment. The ASU also requires additional disclosures about the attributes of alternative investments. The ASU is effective for interim and annual reporting periods ending after December 15, 2009 and, accordingly, the Company will adopt it on January 1, 2010. The Company is currently evaluating the impact that this ASU may have on its financial condition and results of operations.

In August 2009, the FASB issued an ASU to amend the guidance regarding the fair value measurement of liabilities. This ASU provides clarification that in circumstances in which a quoted price in an active market for an identical liability is not available, a reporting entity is required to measure fair value using other valuation techniques, including a technique that uses: (a) the quoted price of the identical liability when traded as an asset; and (b) quoted prices for similar liabilities or similar liabilities when traded as assets. The amendments in this ASU also clarify that when estimating the fair value of a liability, a reporting entity is not required to include a separate input or adjustment to other inputs relating to the existence of a restriction that prevents the transfer of the liability. Lastly, this ASU clarifies that both a quoted price in an active market for the identical liability at the measurement date and the quoted price for the identical liability when traded as an asset in an active market when no adjustments to the quoted price of the asset are required are Level 1 fair value measurements. This

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ASU was effective for the Company in the interim period ending September 30, 2009, and the adoption did not have a material impact on the Company’s consolidated financial position or results of operations.

In June 2009, the FASB approved the “FASB Accounting Standards Codification” (the “Codification”) as the single source of authoritative nongovernmental U.S. GAAP effective July 1, 2009. The Codification does not change current U.S. GAAP, but is intended to simplify user access to all authoritative U.S. GAAP by providing all the authoritative literature related to a particular topic in one place. All existing accounting standard documents will be superseded and all other accounting literature not included in the Codification will be considered nonauthoritative. The Codification was effective for the Company in the interim period ending September 30, 2009, and the adoption did not impact its consolidated financial position or results of operations.

In June 2009, the FASB issued amendments to the guidance regarding the consolidation of variable interest entities (“VIEs”), which affect all entities currently within the scope of the December 2003 revised version of the guidance, as well as qualifying special-purpose entities that are currently excluded from the scope of the guidance. The amendments require an analysis to determine whether a variable interest gives a company a controlling financial interest in a VIE. In addition, they require an ongoing reassessment of all VIEs and eliminate the quantitative approach previously required for determining whether a company is the primary beneficiary. The amendments are effective for fiscal years beginning after November 15, 2009. Accordingly, the Company will adopt them on January 1, 2010. The Company is currently evaluating the impact that these amendments may have on its financial condition and results of operations.

In June 2009, the FASB issued an amendment to the guidance regarding accounting for transfers of financial assets. This amendment removes the concept of a qualifying special-purpose entity from the guidance regarding the accounting for transfers and servicing of financial assets and extinguishment of liabilities, and removes the exception from applying to the consolidation of VIEs. This amendment also clarifies the requirements for isolation and limitations on portions of financial assets that are eligible for sale accounting and enhances disclosures about transfers of financial assets and a transferor’s continuing involvement with transferred financial assets. This amendment is effective prospectively to transfers of financial assets occurring in fiscal years beginning after November 15, 2009. Accordingly, the Company will adopt this amendment on January 1, 2010. The Company is currently evaluating the impact that this amendment may have on its financial condition and results of operations.

In May 2009, the FASB issued guidance regarding subsequent events, which establishes general standards for accounting for and disclosure of events that occur after the balance sheet date but before the financial statements are issued or are available to be issued. The guidance requires the disclosure of the date through which an entity has evaluated subsequent events and the basis for that date, whether that date represents the date the financial statements were issued or were available to be issued. This guidance was effective with interim and annual financial periods ending after June 15, 2009, and the adoption did not impact the Company’s consolidated financial position or results of operations. See Note 16, “Subsequent Events.”

In April 2009, the FASB issued guidance regarding the recognition and presentation of other-than-temporary impairments, which requires entities to separate an other-than-temporary impairment of a debt security into two components when there are credit related losses associated with the impaired debt security for which the Company asserts that it does not have the intent to sell the security, and it is more likely than not that it will not be required to sell the security before recovery of its cost basis. The amount of the other-than-temporary impairment related to a credit loss is recognized in earnings, and the amount of the other-than-temporary impairment related to other factors (e.g., interest rates, market conditions, etc.) is recorded as a component of other comprehensive income (loss). This guidance was effective for periods ending after June 15, 2009, with early adoption permitted for periods ending after March 15, 2009. The Company elected to adopt this guidance effective for its interim period ending March 31, 2009. See Note 8, “Investment Information—Other-Than-Temporary Impairments.”

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In April 2009, the FASB issued guidance regarding the determination of fair value when the volume and level of activity for the asset or liability have significantly decreased and the identification of transactions that are not orderly. This guidance also amended guidance regarding fair value measurements to expand certain disclosure requirements. This guidance was effective for periods ending after June 15, 2009, with early adoption permitted for periods ending after March 15, 2009. The Company elected to adopt this guidance effective for its interim period ending March 31, 2009, and its adoption did not have a material impact on the Company’s consolidated financial condition or results of operations. See Note 8, “Investment Information—Fair Value.”

In April 2009, the FASB issued guidance regarding the interim disclosures about fair value of financial instruments, which requires disclosures about fair value of financial instruments in interim and annual financial statements. This guidance was effective for periods ending after June 15, 2009, with early adoption permitted for periods ending after March 15, 2009. The Company elected to adopt this guidance effective for its interim period ending March 31, 2009, and has included the required disclosures in its notes to consolidated financial statements where applicable.

3.       Share Transactions

Share Repurchases

The board of directors of ACGL has authorized the investment of up to $1.5 billion in ACGL’s common shares through a share repurchase program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through February 2010. During the third quarter, ACGL repurchased 1.5 million common shares for an aggregate purchase price of $98.2 million and for the nine months ended September 30, 2009, repurchased 1.6 million common shares for an aggregate purchase price of $99.7 million of common shares through the share repurchase program, respectively. Since the inception of the share repurchase program through September 30, 2009, ACGL has repurchased 16.8 million common shares for an aggregate purchase price of $1.15 billion. As a result of the share repurchase transactions to date, weighted average shares outstanding for the 2009 third quarter and nine months ended September 30, 2009 were reduced by 15.7 million and 15.4 million shares, respectively. Weighted average shares outstanding for the 2008 third quarter and nine months ended September 30, 2008 were reduced by 14.9 million and 12.1 million shares, respectively.

At September 30, 2009, $350.1 million of repurchases were available under the share repurchase program. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations. In connection with the share repurchase program, the Warburg Pincus funds waived their rights relating to share repurchases under its shareholders agreement with ACGL for all repurchases of common shares by ACGL under the share repurchase program in open market transactions and certain privately negotiated transactions.

Non-Cumulative Preferred Shares

During 2006, ACGL completed two public offerings of non-cumulative preferred shares. On February 1, 2006, $200.0 million principal amount of 8.0% series A non-cumulative preferred shares (“Series A Preferred Shares”) were issued with net proceeds of $193.5 million and, on May 24, 2006, $125.0 million principal amount of 7.875% series B non-cumulative preferred shares (“Series B Preferred Shares” and together with the Series A Preferred Shares, the “Preferred Shares”) were issued with net proceeds of $120.9 million. The net proceeds of the offerings were used to support the underwriting activities of ACGL’s insurance and reinsurance subsidiaries. ACGL has the right to redeem all or a portion of each series of Preferred Shares at a redemption price of $25.00 per share on or after (1) February 1, 2011 for the Series A Preferred Shares and (2) May 15, 2011 for the Series B Preferred Shares. Dividends on the Preferred Shares are non-cumulative. Consequently, in the event dividends are not declared on the Preferred Shares for any dividend period, holders of Preferred Shares will not be entitled to receive a dividend for such period, and such undeclared dividend will not accrue and will

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not be payable. Holders of Preferred Shares will be entitled to receive dividend payments only when, as and if declared by ACGL’s board of directors or a duly authorized committee of the board of directors. Any such dividends will be payable from the date of original issue on a non-cumulative basis, quarterly in arrears. To the extent declared, these dividends will accumulate, with respect to each dividend period, in an amount per share equal to 8.0% of the $25.00 liquidation preference per annum for the Series A Preferred Shares and 7.875% of the $25.00 liquidation preference per annum for the Series B Preferred Shares. During the nine month periods ended September 30, 2009 and 2008, the Company paid $19.4 million to holders of the Preferred Shares. At September 30, 2009, the Company had declared an aggregate of $3.3 million of dividends to be paid to holders of the Preferred Shares.

4.      Debt and Financing Arrangements

Senior Notes

On May 4, 2004, ACGL completed a public offering of $300 million principal amount of 7.35% senior notes (“Senior Notes”) due May 1, 2034 and received net proceeds of $296.4 million. ACGL used $200 million of the net proceeds to repay all amounts outstanding under a revolving credit agreement. The Senior Notes are ACGL’s senior unsecured obligations and rank equally with all of its existing and future senior unsecured indebtedness. Interest payments on the Senior Notes are due on May 1st and November 1st of each year. ACGL may redeem the Senior Notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price. For the nine month periods ended September 30, 2009 and 2008, interest expense on the Senior Notes was $16.6 million. The market value of the Senior Notes at September 30, 2009 and December 31, 2008 was $282.5 million and $246.1 million, respectively.

Letter of Credit and Revolving Credit Facilities

As of September 30, 2009, the Company had a $300 million unsecured revolving loan and letter of credit facility and a $1.0 billion secured letter of credit facility (the “Credit Agreement”). Under the terms of the agreement, Arch Reinsurance Company (“Arch Re U.S.”) is limited to issuing $100 million of unsecured letters of credit as part of the $300 million unsecured revolving loan. Borrowings of revolving loans may be made by ACGL and Arch Re U.S. at a variable rate based on LIBOR or an alternative base rate at the option of the Company. Secured letters of credit are available for issuance on behalf of the Company’s insurance and reinsurance subsidiaries. Issuance of letters of credit and borrowings under the Credit Agreement are subject to the Company’s compliance with certain covenants and conditions, including absence of a material adverse change. These covenants require, among other things, that the Company maintain a debt to total capital ratio of not greater than 0.35 to 1 and shareholders’ equity in excess of $1.95 billion plus 25% of future aggregate net income for each quarterly period (not including any future net losses) beginning after June 30, 2006 and 25% of future aggregate proceeds from the issuance of common or preferred equity and that the Company’s principal insurance and reinsurance subsidiaries maintain at least a “B++” rating from A.M. Best. In addition, certain of the Company’s subsidiaries which are party to the Credit Agreement are required to maintain minimum shareholders’ equity levels. The Company was in compliance with all covenants contained in the Credit Agreement at September 30, 2009. The Credit Agreement expires on August 30, 2011.

Including the secured letter of credit portion of the Credit Agreement and another letter of credit facility (together, the “LOC Facilities”), the Company has access to letter of credit facilities for up to a total of $1.45 billion. The principal purpose of the LOC Facilities is to issue, as required, evergreen standby letters of credit in favor of primary insurance or reinsurance counterparties with which the Company has entered into reinsurance arrangements to ensure that such counterparties are permitted to take credit for reinsurance obtained from the Company’s reinsurance subsidiaries in United States jurisdictions where such subsidiaries are not licensed or otherwise admitted as an insurer, as required under insurance regulations in the United States, and to comply with requirements of Lloyd’s of London in connection with qualifying quota share and other arrangements. The amount of letters of credit issued is driven by, among other things, the timing and payment of catastrophe losses,

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loss development of existing reserves, the payment pattern of such reserves, the further expansion of the Company’s business and the loss experience of such business. When issued, certain letters of credit are secured by a portion of the Company’s investment portfolio. In addition, the LOC Facilities also require the maintenance of certain covenants, which the Company was in compliance with at September 30, 2009. At such date, the Company had $712.1 million in outstanding letters of credit under the LOC Facilities, which were secured by investments with a market value of $848.1 million. In May 2008, the Company borrowed $100.0 million under the Credit Agreement at a Company-selected variable interest rate that is based on 1 month, 3 month or 6 month reset option terms and their corresponding term LIBOR rates plus 27.5 basis points. The proceeds from such borrowings, which are repayable in August 2011, were contributed as additional share capital to Arch Reinsurance Ltd. (“Arch Re Bermuda”) and used to fund the investment in Gulf Re. See Note 7, “Investment in Joint Venture,” for additional information.

Term Asset-Backed Securities Loan Facility Program

During the 2009 third quarter, the Company purchased asset-backed and commercial mortgage-backed securities under the Federal Reserve Bank of New York’s (“FRBNY”) Term Asset-Backed Securities Loan Facility (“TALF”). TALF provides secured financing for asset-backed securities backed by certain types of consumer and small business loans and for legacy commercial mortgage-backed securities. TALF financing is non-recourse to the Company, except in certain limited instances, and is collateralized by the purchased securities and provides financing for the purchase price of the securities, less a ‘haircut’ that varies based on the type of collateral. The Company can deliver the collateralized securities to a special purpose vehicle created by the FRBNY in full defeasance of the borrowings.

The Company elected to carry the securities and related borrowings at fair value under the fair value option afforded by accounting guidance regarding the fair value option for financial assets and financial liabilities. As of September 30, 2009, the Company had $250.5 million of securities under TALF which are reflected as “TALF investments, at market value” and $219.8 million of secured financing from the FRBNY which is reflected as “TALF borrowings, at market value.” The maturity dates for the TALF borrowings vary between 3 to 5 years with floating or fixed coupons depending on the related TALF investments. See Note 8, “Investment Information—TALF Program,” for additional information.

Interest Paid

During the nine month periods ended September 30, 2009 and 2008, the Company made interest payments of $12.0 million related to its debt and financing arrangements.

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5.      Segment Information

The Company classifies its businesses into two underwriting segments — insurance and reinsurance — and corporate and other (non-underwriting). The Company’s insurance and reinsurance operating segments each have segment 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 President and Chief Executive Officer of ACGL and the Chief Financial Officer of ACGL. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. 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.

Management measures segment performance based on underwriting income or loss. The Company does not manage its assets by segment and, accordingly, investment income is not allocated to each underwriting segment. In addition, other revenue and expense items are not evaluated by segment. The accounting policies of the segments are the same as those used for the preparation of the Company’s consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.

The insurance segment consists of the Company’s insurance underwriting subsidiaries which primarily write on both an admitted and non-admitted basis. The insurance segment consists of eleven specialty product lines: casualty; construction; executive assurance; healthcare; national accounts casualty; professional liability; programs; property, energy marine and aviation; surety; travel and accident; and other (consisting of excess workers’ compensation, employers’ liability and collateral protection business).

The reinsurance segment consists of the Company’s reinsurance underwriting subsidiaries. The reinsurance segment generally seeks to write significant lines on specialty property and casualty reinsurance contracts. Classes of business include: casualty; marine and aviation; other specialty; property catastrophe; property excluding property catastrophe (losses on a single risk, both excess of loss and pro rata); and other (consisting of non-traditional and casualty clash business).

Corporate and other (non-underwriting) includes net investment income, other income (loss), other expenses incurred by the Company, interest expense, net realized gains or losses, net impairment losses recognized in earnings, equity in net income (loss) of investment funds accounted for using the equity method, net foreign exchange gains or losses, income taxes and dividends on the Company’s non-cumulative preferred shares.

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The following tables set forth an analysis of the Company’s underwriting income by segment, together with a reconciliation of underwriting income to net income available to common shareholders:

(1)   Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total. The insurance segment and reinsurance segment results include nil and $2.8 million, respectively, of gross and net premiums written and $0.4 million and $3.0 million, respectively, of net premiums earned assumed through intersegment transactions.

(2)   The acquisition expense ratio is adjusted to include policy-related fee income.

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(1)   Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total. The insurance segment and reinsurance segment results include nil and $3.4 million, respectively, of gross and net premiums written and nil and $7.2 million, respectively, of net premiums earned assumed through intersegment transactions.

(2)   The acquisition expense ratio is adjusted to include certain fee income.

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