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

OMB APPROVAL OMB Number: 3235-0287 Expires: January 31, 2005 Estimated average burden hours per response... 0.5

(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, President & CEO (Last) (First) (Middle) C/O ARCH CAPITAL GROUP LTD., WATERLOO HOUSE,100 PITTS BAY ROAD 3. Date of Earliest Transaction (Month/Day/Year) 05/14/2015 (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 05/14/2015   G V 1,323 D $ 0 364,025 D   Common Shares, $.0033 par value per share 05/18/2015   G V 200 D $ 0 363,825 D   Common Shares, $.0033 par value per share               120,000 (3) I (3) By 2015 GRAT (3) Common Shares, $.0033 par value per share               243,825 (3) D   Common Shares, $.0033 par value per share 12/15/2015   G V 800 D $ 0 243,025 D   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.
	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.		SEC 1474 (9-02)

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)

$ 18.757

06/30/2015

G

V

11,115 (2)

(1)

02/23/2016

Common Shares, $.0033 par value per share

238,217

$ 0

238,217 (2)

I

By 2010 GRAT

Stock Option (right to buy)

$ 18.757

06/30/2015

G

V

11,115 (2)

(1)

02/23/2016

Common Shares, $.0033 par value per share

11,115

$ 0

153,053 (2)

D

Stock Option (right to buy)

$ 18.76

(1)

02/23/2016

Common Shares, $.0033 par value per share

153,053 (4)

153,053 (4)

I (4)

By 2015 GRAT

Share Appreciation Right

$ 59.16

02/27/2015

02/27/2025

Common Shares, $.0033 par value per share

149,556 (4)

149,556 (4)

I (4)

By 2015 GRAT

Share Appreciation Right

$ 62.51

(5)

05/12/2025

Common Shares, $.0033 par value per share

58,110 (4)

58,110 (4)

I (4)

By 2015 GRAT

Stock Option (right to buy)

$ 18.757

09/30/2015

G

V

9,860 (6)

(1)

02/23/2016

Common Shares, $.0033 par value per share

9,860

$ 0

228,357

I

By 2010 GRAT

Stock Option (right to buy)

$ 18.757

09/30/2015

G

V

9,860 (6)

(1)

02/23/2016

Common Shares, $.0033 par value per share

9,860

$ 0

9,860

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, President & CEO

Signatures

/s/ Constantine Iordanou		12/16/2015
**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 stock option became exercisable in three equal annual installments with the first installment being exercisable on February 23, 2007 and the second and third installments being exercisable on February 23, 2008 and February 23, 2009.
(2)	On June 30, 2015, 11,115 stock options were distributed from the 2010 GRAT. Such options were previously reported as indirectly beneficially held by the 2010 GRAT. Following such distribution, the reporting person owns 153,053 stock options directly and 238,217 stock options indirectly by the 2010 GRAT.
(3)	On August 7, 2015, the reporting person contributed 120,000 common shares to a grantor retained annuity trust (the "2015 GRAT"). Such common shares were previously reported as directly beneficially owned by the reporting person. Following this contribution to the 2015 GRAT the reporting person has direct beneficial ownership of 243,825 common shares and indirect beneficial ownership of 120,000 common shares.
(4)	The stock options and share appreciation rights were previously reported as directly beneficially owned by the reporting person but were contributed to the 2015 GRAT on August 7, 2015.
(5)	The share appreciation right became exercisable in three equal annual installments with the first installment being exercisable on May 12, 2016 and the second and third installments being exercisable on May 12, 2017 and May 12, 2018.
(6)	On September 30, 2015, 9,860 stock options were distributed from the 2010 GRAT. Such options were previously reported as indirectly beneficially held by the 2010 GRAT. Following such distribution, the reporting person owns 9,860 stock options directly and 228,357 stock options indirectly by the 2010 GRAT.

Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.

Potential persons who are to respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB number.