AMENDMENT NO. 4 TO MASTER ADMINISTRATIVE SERVICES AGREEMENT This Amendment, dated as of December 29, 1999, is made to the Master Administrative Services Agreement, (the "Agreement"), as amended, dated May 1, 1998, by and between A I M Advisors, Inc....

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                                                                 EXHIBIT h(4)(e)

                                AMENDMENT NO. 4
                                       TO
                    MASTER ADMINISTRATIVE SERVICES AGREEMENT


         This Amendment, dated as of December 29, 1999, is made to the Master
Administrative Services Agreement, (the "Agreement"), as amended, dated May 1,
1998, by and between A I M Advisors, Inc. (the "Administrator") and AIM Variable
Insurance Funds, Inc. (the "Company") to add the following Fund to the
provisions of the agreement:

                  AIM V.I. Dent Demographic Trends Fund

         IN WITNESS WHEREOF, the parties hereto have caused this amendment to be
executed by their officers designated below, as of the day and year first above
written.



                                             A I M ADVISORS, INC.





Attest: /s/ XXXXX X. XXXXXX                  By: /s/ XXXXXX X. XXXXXX
       -----------------------                  -------------------------------
       Assistant Secretary                       President

                                             AIM VARIABLE INSURANCE FUNDS, INC.


Attest: /s/ XXXXX X. XXXXXX                  By: /s/ XXXXXX X. XXXXXX
       -----------------------                  -------------------------------
       Assistant Secretary                       President