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
                                                                                  
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Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940
                      

1. Name and Address of Reporting Person *

PETRILLO LOUIS T
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                      _____ 10% Owner
__ X __ Officer (give title below)      _____ Other (specify below)
Officer of Subsidiary
(Last)          (First)          (Middle)

ARCH CAPITAL SERVICES INC., 360 HAMILTON AVENUE, SUITE 600
3. Date of Earliest Transaction (MM/DD/YYYY)

5/13/2016
(Street)

WHITE PLAINS, NY 10601
(City)        (State)        (Zip)
4. If Amendment, Date Original Filed (MM/DD/YYYY)

 
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. Trans. Date 2A. Deemed Execution Date, if any 3. Trans. 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, $.0033 par value per share   5/13/2016     A    5550   A   (2) 63897   D    
Common Shares, $.0033 par value per share   5/13/2016     F    2214   (1) D $71.70   61683   D    

Table II - Derivative Securities Beneficially Owned ( e.g. , puts, calls, warrants, options, convertible securities)
1. Title of Derivate Security
(Instr. 3)
2. Conversion or Exercise Price of Derivative Security 3. Trans. Date 3A. Deemed Execution Date, if any 4. Trans. 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 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 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)   (3) $71.70   5/13/2016     A      5550         (3) 5/13/2026   Common Shares, $.0033 per share   5550   $0   5550   D    

Explanation of Responses:
( 1)  Represents shares withheld to pay taxes due upon vesting of restricted stock.
( 2)  Represents restricted shares that vest in three equal annual installments on May 13th in each of 2017, 2018 and 2019, subject to the applicable award agreement.
( 3)  The stock option will become exercisable in three equal annual installments, with the first installment becoming exercisable on May 13, 2017 and the next two installments on May 13, 2018 and May 13, 2019, subject to the applicable award agreement.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director 10% Owner Officer Other
PETRILLO LOUIS T
ARCH CAPITAL SERVICES INC.
360 HAMILTON AVENUE, SUITE 600
WHITE PLAINS, NY 10601


Officer of Subsidiary

Signatures
/s/ Louis Petrillo 5/16/2016
** 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).
Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.
Persons who respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB control number.
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