ARCH CAPITAL GROUP LTD. (a Bermuda limited company) $300,000,000 7.35% Senior Notes due 2034 UNDERWRITING AGREEMENT Dated as of April 29, 2004Underwriting Agreement • April 30th, 2004 • Arch Capital Group LTD • Fire, marine & casualty insurance • New York
Arch Capital Group Ltd., a Bermuda company (the “Company”), confirms its agreement with Goldman, Sachs & Co., J.P. Morgan Securities Inc. and each of the other Underwriters named in Schedule A hereto (collectively, the “Underwriters,” which term shall also include any underwriter substituted as hereinafter provided in Section 10 hereof), for whom Goldman, Sachs & Co., J.P. Morgan Securities Inc., Credit Suisse First Boston LLC, Merrill Lynch, Pierce, Fenner & Smith Incorporated, Banc of America Securities LLC and Wachovia Capital Markets, LLC are acting as representatives (in such capacity, the “Representatives”), with respect to (i) the issue and sale by the Company, and the purchase by the Underwriters, acting severally and not jointly, of the respective principal amounts set forth in said schedule of $300,000,000 aggregate principal amount of the 7.35% Senior Notes due 2034 (the “Securities”). The Securities are to be issued pursuant to an indenture (the “Indenture”) to be dated as
