1 AS OF 12/31/2002 SEC 1745 (6-01) 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 control number. OMB APPROVAL OMB Number: 3235-0145 Expires: October 31, 2002 Estimated average burden hours per response. . . 14.9 UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 SCHEDULE 13G Under the Securities Exchange Act of 1934 (Amendment No. ___________)* Arch Capital Group LTD.. (Name of Issuer) COMMON Stock (Title of Class of Securities) G0450A105 (CUSIP Number) 12/31/02 (Date of Event Which Requires Filing of this Statement) Check the appropriate box to designate the rule pursuant to which this Schedule is filed: [ X ]Rule 13d-1(b) [ ]Rule 13d-1(c) [ ]Rule 13d-1(d) *The remainder of this cover page shall be filled out for a reporting person's initial filing on this form with respect to the subject class of securities, and for any subsequent amendment containing information which would alter the disclosures provided in a prior cover page. The information required in the remainder of this cover page shall not be deemed to be "filed" for the purpose of Section 18 of the Securities Exchange Act of 1934 ("Act") or otherwise subject to the liabilities of that section of the Act but shall be subject to all other provisions of the Act (however, see the Notes). CUSIP No. G0450A105 1. Names of Reporting Persons Beck, Mack & Oliver LLC I.R.S. Identification Nos. of above persons (entities only). 13-0477010 2. Check the Appropriate Box if a Member of a Group (See Instructions) (a)........................................................................ b)........................................................................ 3.SEC Use Only ............................................................................ 4.Citizenship or Place of Organization New York Number of Shares Beneficially Owned by Each Reporting Person With 5.Sole Voting Power 0 6.Shared Voting Power 0 7.Sole Dispositive Power 0 8.Shared Dispositive Power 1,097,650 9.Aggregate Amount Beneficially Owned by Each Reporting Person 1,097,650 10.Check if the Aggregate Amount in Row (9) Excludes Certain Shares (See Instructions 11.Percent of Class Represented by Amount in Row (9) 3.97% 12.Type of Reporting Person (See Instructions) IA Item 1. (a)Name of Issuer Arch Capital Group LTD (b)Address of Issuer's Principal Executive Offices 20 Horseneck Lane Greenwich, CT 06830 Item 2. (a)Name of Person Filing Beck, Mack & Oliver LLC (b)Address of Principal Business Office or, if none, Residence 360 Madison Avenue New York, NY 10017 (c)Citizenship New York (d)Title of Class of Securities Common Stock (e)CUSIP Number G0450A105 Item 3. If this statement is filed pursuant to 240.13d-1(b) or 240.13d-2(b) or (c), check whether the person filing is a: (a)[ ]Broker or dealer registered under section 15 of the Act (15 U.S.C. 78o). (b)[ ]Bank as defined in section 3(a)(6) of the Act (15 U.S.C. 78c). (c)[ ]Insurance company as defined in section 3(a)(19) of the Act (15 U.S.C. 78c). (d)[ ]Investment company registered under section 8 of the Investment Company Act of 1940 (15 U.S.C 80a-8). (e)[X ]An investment adviser in accordance with 240.13d-1(b)(1)(ii)(E); (f)[ ]An employee benefit plan or endowment fund in accordance with 240.13d- 1(b)(1)(ii)(F); (g)[ ]A parent holding company or control person in accordance with 240.13d- 1(b)(1)(ii)(G); (h)[ ]A savings associations as defined in Section 3(b) of the Federal Deposit Insurance Act (12 U.S.C. 1813); (i)[ ]A church plan that is excluded from the definition of an investment company under section 3(c)(14) of the Investment Company Act of 1940 (15 U.S.C. 80a-3); (j)[ ]Group, in accordance with 240.13d-1(b)(1)(ii)(J). Item 4.Ownership. Provide the following information regarding the aggregate number and Percentage of the class of securities of the issuer identified in Item 1. (a)Amount beneficially owned: 1,097,650 (b)Percent of class: 3.97% (c)Number of shares as to which the person has: (i)Sole power to vote or to direct the vote: 0 (ii)Shared power to vote or to direct the vote: 0 (iii) Sole power to dispose or to direct the disposition of: 0 (iv)Shared power to dispose or to direct the disposition of: 1,097,650 Instruction. For computations regarding securities which represent a right to acquire an underlying security see 240.13d3(d)(1). Item 5. Ownership of Five Percent or Less of a Class This statement is being filed to report the fact that as of 12/31/02 the reporting person has ceased to be the beneficial owner of more than five percent of the class of securities. Item 6.Ownership of More than Five Percent on Behalf of Another Person. Not Applicable Item 7.Identification and Classification of the Subsidiary Which Acquired the Security Being Reported on By the Parent Holding Not Applicable Item 8.Identification and Classification of Members of the Group Not Applicable Item 9.Notice of Dissolution of Group As of 12/31/02 excess shares are no longer the reasonability of the Reporting person. Item 10.Certification By signing below I certify that, to the best of my knowledge and belief, the securities referred to above were acquired and are held in the ordinary course of business and were not acquired and are not held for the purpose of or with the effect of changing or influencing the control of the issuer of the securities and were not acquired and are not held in connection with or as a participant in any transaction having that purpose or effect. Robert C. Beck SIGNATURE After reasonable inquiry and to the best of my knowledge and belief, I certify that the information set forth in this statement is true, complete and correct. Date January 23, 2003 Robert C. Beck Signature Robert C. Beck, Managing Member Name/Title