Exhibit 99.4

            Statement Under Oath of Principal Financial Officer
                     Regarding Facts and Circumstances
                      Relating to Exchange Act Filings

I, Philip V. Bancroft, state and attest that:

(1)   To the best of my knowledge, based upon a review of the covered
      reports of ACE Limited, and except as corrected or supplemented in
      a subsequent covered report:

      o    No covered report contained an untrue statement of a material
           fact as of the end of the period covered by such report (or
           in the case of a report on Form 8-K or definitive proxy
           materials, as of the date on which it was filed); and

      o    No covered report omitted to state a material fact necessary
           to make the statements in the covered report, in light of the
           circumstances under which they were made, not misleading as
           of the end of the period covered by such report (or in the
           case of a report on Form 8-K or definitive proxy materials,
           as of the date on which it was filed).

(2)   I have reviewed the contents of this statement with the Company's
      audit committee.

(3)   In this statement under oath, each of the following, if filed on
      or before the date of this statement, is a "covered report":

      o    Report of ACE Limited on Form 10-K for the year ended
           December 31, 2001;

      o    All reports on Form 10-Q, all reports on Form 8-K and all
           definitive proxy materials of ACE Limited filed with the
           Commission subsequent to the filing of the Form 10-K
           identified above; and

      o    Any amendments to any of the foregoing.



/s/  Philip V. Bancroft                     Subscribed and sworn to
-----------------------                     before me this 13th day of
Philip V. Bancroft                          August, 2002.
August 13, 2002

                                            Notary Public

                                            /s/ David W. J. Astwood
                                            ----------------------------------
                                            My Commission Expires:  Upon Death