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 * IORDANOU CONSTANTINE   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 __X__ Officer (give title below) _____ Other (specify below) Chairman & CEO (Last) (First) (Middle) C/O ARCH CAPITAL GROUP LTD., WATERLOO HOUSE,100 PITTS BAY ROAD 3. Date of Earliest Transaction (Month/Day/Year) 05/13/2016 (Street) PEMBROKE, D0 HM 08 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, $.0033 par value per share 05/05/2016   G V 100 D $ 0 286,930 D   Common Shares, $.0033 par value per share 05/13/2016   A   46,100 A (1) 333,030 D   Common Shares, $.0033 par value per share               201,676 I By 2015 GRAT Common Shares, $.0033 par value per share               158,514 I By 2010 GRAT Common Shares, $.0033 par value per share               83,333 I By Limited Liability Company Common Shares, $.0033 par value per share               116,613 I By Limited Liability Company Common Shares, $.0033 par value per share               11,616 I By child Series C Non-Cumulative Preferred Shares (non-convertible)               6,000 D   Series C Non-Cumulative Preferred Shares (non-convertible)               1,800 I By spouse

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

Share Appreciation Right

$ 23.707

03/31/2016

G

V

11,262 (2)

(3)

05/11/2017

Common Shares, $.0033 par value per share

11,262

$ 0

123,738 (2)

I

By 2010 GRAT

Share Appreciation Right

$ 23.707

03/31/2016

G

V

11,262 (2)

(3)

05/11/2017

Common Shares, $.0033 par value per share

11,262

$ 0

11,262 (2)

D

Stock Option (right to buy)

$ 71.7

05/13/2016

A

46,100

(4)

05/13/2026

Common Shares, $.0033 par value per share

46,100

$ 0

46,100

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
IORDANOU CONSTANTINE C/O ARCH CAPITAL GROUP LTD. WATERLOO HOUSE,100 PITTS BAY ROAD PEMBROKE, D0 HM 08	X		Chairman & CEO

Signatures

/s/ Constantine Iordanou		05/16/2016
**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 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.
(2)	On March 31, 2016, 11,262 share appreciation rights were distributed from the 2010 GRAT. Such share appreciation rights were previously reported as indirectly beneficially held by the 2010 GRAT. Following such distribution, the reporting person owns 11,262 share appreciation rights directly and 123,738 indirectly by the 2010 GRAT.
(3)	The Share Appreciation Right became exercisable in three equal annual installments commencing May 11, 2008, subject to the applicable award agreement.
(4)	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.

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