EXHIBIT 32.2

                        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 Annual Report on Form 10-K for the period
ended December 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, as amended; 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
                                           March 5, 2004