SEC Form 4

FORM 4		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 or Section 30(h) of the Investment Company Act of 1940	OMB APPROVAL OMB Number: 3235-0287 Estimated average burden hours per response: 0.5
	Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

1. Name and Address of Reporting Person* BUNCE JOHN L JR (Last) (First) (Middle) HELLMAN & FRIEDMAN LLC ONE MARITIME PLAZA 12TH FLOOR (Street) SAN FRANCISCO CA 94111 (City) (State) (Zip)	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)
	3. Date of Earliest Transaction (Month/Day/Year) 06/14/2007
	4. If Amendment, Date of 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

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	06/14/2007		M(4)		300	A	$23.76	229,808	D
Common Shares, $.01 par value per share	06/14/2007		M(4)		1,500	A	$26.095	231,308	D
Common Shares, $.01 par value per share	06/14/2007		M(4)		1,500	A	$30.665	232,808	D
Common Shares, $.01 par value per share	06/14/2007		J(4)		100	D	$71.7	232,708	D
Common Shares, $.01 par value per share	06/14/2007		J(4)		300	D	$71.71	232,408	D
Common Shares, $.01 par value per share	06/14/2007		J(4)		500	D	$71.74	231,908	D
Common Shares, $.01 par value per share	06/14/2007		J(4)		500	D	$71.75	231,408	D
Common Shares, $.01 par value per share	06/14/2007		J(4)		300	D	$71.77	231,108	D
Common Shares, $.01 par value per share	06/14/2007		J(4)		700	D	$71.78	230,408	D
Common Shares, $.01 par value per share	06/14/2007		J(4)		300	D	$71.79	230,108	D
Common Shares, $.01 par value per share	06/14/2007		J(4)		100	D	$71.83	230,008	D
Common Shares, $.01 par value per share	06/14/2007		J(4)		100	D	$71.84	229,908	D
Common Shares, $.01 par value per share	06/14/2007		J(4)		487	D	$71.85	229,421	D
Common Shares, $.01 par value per share	06/14/2007		J(4)		194	D	$71.86	229,227	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 (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 Securities Underlying Derivative Security (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: 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
Stock Option (right to buy)	$23.76	06/14/2007		M(4)			300	(1)	11/20/2011	Common Shares, $.01 par value per share	300	(1)	0	D
Stock Option (right to buy)	$26.095	06/14/2007		M(4)			1,500	(2)	01/01/2012	Common Shares, $.01 par value per share	1,500	(2)	0	D
Stock Option (right to buy)	$30.665	06/14/2007		M(4)			1,500	(3)	01/01/2013	Common Shares, $.01 par value per share	1,500	(3)	0	D

Explanation of Responses:

1. Represents a non-employee director stock option that became exercisable in three equal annual installments, with the first installment exercisable on November 20, 2001 and the second and third installments on November 20, 2002 and November 20, 2003.

2. Represents a non-employee director stock option that became exercisable on January 1, 2003.

3. Represents a non-employee director stock option that became exercisable January 1, 2004.

4. On June 14, 2007, at the direction of H&F Investors IV (Bermuda), Ltd. ("H&F Investors"), Mr. Bunce exercised 3,300 options held for the benefit of funds controlled by H&F Investors and sold all of the shares he held for the benefit of such funds. Mr. Bunce disclaims beneficial ownership of such securities except to the extent of his pecuniary interest therein.

	/s/ John L. Bunce, Jr.	06/18/2007
	** Signature of Reporting Person	Date
Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
* 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).
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