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 *
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)
06/14/2007
(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 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  

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
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  

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/ John L. Bunce, Jr.   06/18/2007
**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) 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.

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