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 OF SECURITIES 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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(Print or Type Responses)

1. Name and Address of Reporting Person * BUNCE JOHN L JR   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 (Month/Day/Year) 05/11/2007 (Street) SAN FRANCISCO, CA 94111 4. If Amendment, Date Original Filed(Month/Day/Year) 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 (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 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 05/11/2007   A   492 (1) A (1) 146,576 (2) (3) (4) D   Common Shares, $.01 par vale per share 05/15/2007   J   82,932 A (5) 229,508 (3) (4) (6) D

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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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 (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

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 (Month/Day/Year)

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
BUNCE JOHN L JR HELLMAN & FRIEDMAN LLC ONE MARITIME PLAZA 12TH FLOOR SAN FRANCISCO, CA 94111	X

Signatures

/s/ Louis T. Petrillo, Attorney-in-Fact		05/15/2007
**Signature of Reporting Person		Date

Explanation of Responses:

*	If the form is filed by more than one reporting person, see Instruction 4(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1)	Subject to the terms of the restricted share agreement, this represents restricted shares that will vest on May 10, 2008 which were granted as part of the director-elected annual retainer for serving as a director of the Issuer. Mr. Bunce disclaims beneficial ownership of these shares, except to the extent of his pecuniary interest therein, as more fully described in footnotes 2, 3 and 6.
(2)	Includes 139,083 common shares owned directly by Mr. Bunce. Amount also includes 7,493 common shares, which are held by Mr. Bunce proportionately for the benefit of the entities listed in footnote 3.
(3)	The 7,493 restricted Common Shares described in footnote 2, as well as 3,300 options to acquire Common Shares, are held by Mr. Bunce for the benefit of 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. ("H&F Investors IV") is the sole general partner of the Partnerships. H&F Corporate Investors IV (Bermuda), Ltd. ("H&F Corporate Investors") is the sole general partner of the H&F Investors IV. A five member investment Committee of H&F Corporate Investors has investment discretion over the securities.
(4)	Mr. Bunce serves as a senior advisor to Hellman & Friedman LLC, an affiliate of H&F Corporate Investors, and is a 9.9% shareholder of H&F Corporate Investors.
(5)	On May 15, 2007, the Partnerships distributed 4,674,022 Common Shares to their respective limited partners in accordance with the applicable partnership agreements of the Partnerships. In connection with this distribution, Mr. Bunce received 82,932 Common Shares which are owned directly by Mr. Bunce.
(6)	Includes 222,015 common shares owned directly by Mr. Bunce. Amount also includes 7,493 common shares, which are held by Mr. Bunce proportionately for the benefit of the entities listed in footnote 3.

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