Sec Form 4 Filing - TUNNELL DAVID R @ ARCH CAPITAL GROUP LTD. - 2006-05-03

FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940

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1. Name and Address of Reporting Person TUNNELL DAVID R 2. Issuer Name and Ticker or Trading Symbol ARCH CAPITAL GROUP LTD. [ ACGL] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) X __ Director _____ 10% Owner _____ Officer (give title below) _____ Other (specify below) (Last) (First) (Middle) HELLMAN & FRIEDMAN LLC, ONE MARITIME PLAZA 12TH FLOOR 3. Date of Earliest Transaction (MM/DD/YY) 05/03/2006 (Street) SAN FRANCISCO, CA94111 4. If Amendment, Date Original Filed (MM/DD/YY) 6. Individual or Joint/Group Filing (Check Applicable Line) __ X __ Form filed by One Reporting Person _____ Form filed by More than One Reporting Person (City) (State) (Zip)
Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned 1.Title of Security (Instr. 3) 2. Transaction Date (MM/DD/YY) 2A. Deemed Execution Date, if any (MM/DD/YY) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Common Shares, $.01 par value per share ( 1 ) ( 2 ) ( 3 ) 9,348,044 I By Partnership Common Shares, $.01 par value per share ( 3 ) 05/03/2006 A 569 A 21,132 ( 4 ) D
Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned ( e.g. , puts, calls, warrants, options, convertible securities) 1. Title of Derivative Security (Instr. 3) 2. Conversion or Exercise Price of Derivative Security 3. Transaction Date (MM/DD/YY) 3A. Deemed Execution Date, if any (MM/DD/YY) 4. Transaction Code (Instr. 8) 5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5) 6. Date Exercisable and Expiration Date (MM/DD/YY) 7. Title and Amount of Underlying Securities (Instr. 3 and 4) 8. Price of Derivative Security (Instr. 5) 9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4) 10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4) 11. Nature of Indirect Beneficial Ownership (Instr. 4) Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares
Reporting Owners Reporting Owner Name / Address Relationships Director 10% Owner Officer Other TUNNELL DAVID R HELLMAN & FRIEDMAN LLC ONE MARITIME PLAZA 12TH FLOOR SAN FRANCISCO, CA94111 X	Signatures /s/ Louis T. Petrillo Attorney in fact 05/05/2006 Signature of Reporting Person Date

Explanation of Responses:

( 1 )The security holders are HFCP IV (Bermuda), L.P., H&F International Partners IV-A (Bermuda), L.P., H&F International Partners IV-B (Bermuda), L.P. and H&F Executive Fund IV (Bermuda), L.P. (collectively, the Partnerships). H&F Investors IV (Bermuda), L.P. (HFI IV Bermuda) is the sole general partner of the Partnerships. H&F Corporate Investors IV (Bermuda), Ltd. (HFCI Bermuda) is the sole general partner of HFI IV Bermuda. A five member investment committee of HFCI Bermuda that has been formed by the shareholders of HFCI Bermuda (Investment Committee), has investment discretion over the securities. As a result, HFCI Bermuda and HFI IV Bermuda may be deemed to control the Partnerships. The members of the Investment Committee disclaim beneficial ownership, except to the extent of their respective indirect pecuniary interests in the Issuer. ( 2 )Mr. Tunnell is a 9.9% shareholder of HFCI Bermuda, but is not a member of the Investment Committee. Other than the 3,924 Common Shares and the 1,800 options to purchase Common Shares granted to Mr. Tunnell in consideration for his service as a director of the Issuer, the H&F entities described in Footnote 1 own 9,348,044 Common Shares. ( 3 )Mr. Tunnell may be deemed to have an indirect pecuniary interest (within the meaning of Rule 16a-1 under the Securities Exchange Act of 1934) in an indeterminate portion of the Common Shares beneficially owned by the Partnerships. Mr. Tunnell disclaims beneficial ownership of all Common Shares beneficially owned by these entities, including an aggregate of 3,924 Common Shares and 1,800 options to purchase Common Shares granted to Mr. Tunnell in consideration for his service as a director of the Issuer, except to the extent of his indirect pecuniary interest in the Issuer held through such entities. ( 4 )Includes 3,924 Common Shares granted to Mr. Tunnell in consideration for his service as a director of the Issuer, which are held for the benefit of the Partnerships. Mr. Tunnell disclaims beneficial ownership of these 3,924 Common Shares except to the extent of his indirect pecuniary interest in the Issuer held through the Partnerships. ( 5 )Subject to the terms of the restricted share agreement, this represents restricted shares that will vest on May 2, 2007.

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* If the form is filed by more than one reporting person, see Instruction 4(b)(v).

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