EXHIBIT 99.2

                        ANNALY MORTGAGE MANAGEMENT, INC.
                          1211 AVENUE OF THE AMERICAS
                                   SUITE 2902
                            NEW YORK, NEW YORK 10036

                        CERTIFICATION OF CHIEF FINANCIAL
                  OFFICER REGARDING PERIODIC REPORT CONTAINING
                              FINANCIAL STATEMENTS

     I, Kathryn F. Fagan, the Chief Financial Officer and Treasurer of Annaly
Mortgage Management, Inc. (the "Company") in compliance with 18 U.S.C. Section
1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002,
hereby certify that, the Company's Quarterly Report on Form 10-Q for the period
ended March 31, 2003 (the "Report") filed with the Securities and Exchange
Commission:

- --   fully complies with the requirements of Section 13(a) or 15(d) of the
     Securities Exchange Act of 1934; and

- --   the information contained in the Report fairly presents, in all material
     respects, the financial condition and results of operations of the Company.

                                         /s/ Kathryn F. Fagan

                                         Kathryn F. Fagan

                                         Chief Financial Officer and Treasurer

                                         May 13, 2003


                                       29