AMENDMENT NO. 1 TO MASTER ADMINISTRATIVE SERVICES AGREEMENT This Amendment, dated as of December 14, 1998, 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)(b)

                                 AMENDMENT NO. 1
                                       TO
                    MASTER ADMINISTRATIVE SERVICES AGREEMENT


         This Amendment, dated as of December 14, 1998, 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") add the following Funds to the provisions
of the agreement:

                  AIM V. I. Global Growth and Income Fund
                  AIM V. I. Telecommunications 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