Ownership Submission
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 *
H&F CORP INVESTORS IV BERMUDA LTD
   2. Issuer Name and Ticker or Trading Symbol
ARCH CAPITAL GROUP LTD. [ACGL] 		5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director __X__ 10% Owner
_____ Officer (give title below) _____ Other (specify below)
(Last)
(First)
(Middle)
C/O A.S. & K. SERVICES, LTD, CEDAR HOUSE, 41 CEDAR AVENUE		 3. Date of Earliest Transaction (Month/Day/Year)
11/29/2006
(Street)

HAMILTON HM 12 BERMUDA 		 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, $0.01 par value per share (1) 11/29/2006   J(2)   4,674,022 (2) D (2) 4,674,022 (3) I Partnership (1)

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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
H&F CORP INVESTORS IV BERMUDA LTD
C/O A.S. & K. SERVICES, LTD, CEDAR HOUSE
41 CEDAR AVENUE
HAMILTON HM 12 BERMUDA 		     X    

Signatures

 /s/ Georgia Lee, Vice President   11/30/2006
**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) THE REPORTING PERSONS ARE, AND THIS FORM 4 IS FILED ON BEHALF OF, HFCP IV (BERMUDA), L.P. ("HFCP IV BERMUDA"), H&F INTERNATIONAL PARTNERS IV-A (BERMUDA), L.P. ("HFIP IV-A BERMUDA"), H&F INTERNATIONAL PARTNERS IV-B (BERMUDA), L.P. ("HFIP IV-B BERMUDA") AND H&F EXECUTIVE FUND (BERMUDA), L.P. ("HFEF BERMUDA" AND COLLECTIVELY, THE "PARTNERSHIPS"). H&F INVESTORS IV (BERMUDA), L.P. ("HFI IV BERMUDA") IS THE SOLE GENERAL PARTNER OF EACH 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 FORMED BY THE SHAREHOLDERS OF HFCI BERMUDA ("THE 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) ON NOVEMBER 29, 2006, HFCP IV BERMUDA, HFIP IV-A BERMUDA, HFIP IV-B BERMUDA AND HFEF BERMUDA DISTRIBUTED TO THEIR RESPECTIVE LIMITED PARTNERS 3,766,638, 618,132, 204,201 AND 85,051 COMMON SHARES, RESPECTIVELY (COLLECTIVELY 4,674,022 COMMON SHARES), OF THE ISSUER IN ACCORDANCE WITH THEIR APPLICABLE PARTNERSHIP AGREEMENTS.
(3) FOLLOWING THE DISTRIBUTION DESCRIBED IN NOTE 2, HFCP IV BERMUDA, HFIP IV-A BERMUDA, HFIP IV-B BERMUDA AND HFEF BERMUDA BENEFICIALLY OWN 3,766,638, 618,132, 204,201 AND 85,051 COMMON SHARES, RESPECTIVELY (COLLECTIVELY 4,674,022 COMMON SHARES), OF THE ISSUER. SHARE COUNTS EXCLUDE 9,787 COMMON SHARES AND 3,300 OPTIONS TO ACQURE COMMON SHARES GRANTED TO DESIGNEES OF THE

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