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 *

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)

WESSEX HOUSE, 5TH FLOOR, 45 REID STREET
3. Date of Earliest Transaction (MM/DD/YYYY)

12/10/2012
(Street)

HAMILTON, D0 HM 12
(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   12/10/2012     G   V 250000   (1) D $0   83333   (1) I   By Limited Liability Company  
Common Shares, $.0033 par value per share   12/11/2012     G   V 500   D $0   385562   D    
Common Shares, $.0033 par value per share                  276171   (2) I   By 2005 GRAT  
Common Shares, $.0033 par value per share                  488705   (2) D    
Common Shares, $.0033 par value per share                  116613   I   By Limited Liability Company  
Common Shares, $.0033 par value per share                  11616   I   By child  

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

Explanation of Responses:
( 1)  On December 10, 2012, the reporting person gifted a 1/3 interest in Protaras LLC, a limited liability company, to each of his three children's irrevocable trusts. Prior to gifting the 250,000 common shares, the reporting person owned all of the membership interests in Protaras LLC and served as its sole managing member. The reporting person no longer has a pecuniary interest in 166,667 common shares because the interest is owned by the reporting person's adult daughters who reside outside of his household. The reporting person disclaims benefical ownership of the remaining 83,333 common shares held by his minor daughter's irrevocable trust.
( 2)  On December 13, 2012, 103,143 common shares were distributed from a GRAT. Following the distribution, the reporting person owns such shares directly and the GRAT owns 276,171 common shares. The 103,143 common shares are included in the reporting person's direct holdings.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director 10% Owner Officer Other
IORDANOU CONSTANTINE
WESSEX HOUSE, 5TH FLOOR
45 REID STREET
HAMILTON, D0 HM 12
X
Chairman, President & CEO

Signatures
/s/ Louis T. Petrillo, Attorney in fact 12/18/2012
** 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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