EXHIBIT h(19)(e) AMENDMENT NO. 4 MASTER ADMINISTRATIVE SERVICES AGREEMENT The Master Administrative Services Agreement (the "Agreement"), dated February 28, 1997, by and between A I M Advisors, Inc., a Delaware corporation, and AIM Equity Funds, Inc.,...

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                                                                EXHIBIT h(19)(e)

                                 AMENDMENT NO. 4
                    MASTER ADMINISTRATIVE SERVICES AGREEMENT


     The Master Administrative Services Agreement (the "Agreement"), dated
February 28, 1997, by and between A I M Advisors, Inc., a Delaware corporation,
and AIM Equity Funds, Inc., a Maryland corporation, is hereby amended as
follows:

     Appendix A of the Agreement is hereby deleted in its entirety and replaced
with the following:


                             "AIM EQUITY FUNDS, INC.
             APPENDIX A TO MASTER ADMINISTRATIVE SERVICES AGREEMENT

AIM Aggressive Growth Fund
AIM Blue Chip Fund
AIM Capital Development Fund
AIM Charter Fund
AIM Constellation Fund
AIM Dent Demographic Trends Fund
AIM Large Cap Basic Value Fund
AIM Large Cap Growth Fund
AIM Mid Cap Growth Fund
AIM Xxxxxxxxxx Fund"

     All other terms and provisions of the Agreement not amended herein shall
remain in full force and effect.


Dated: September 28, 1999
      -------------------


                                         A I M ADVISORS, INC.


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

(SEAL)

                                         AIM EQUITY FUNDS, INC.


Attest: /s/XXXXX X. XXXXXXX              By: /s/XXXXX X. XXXXXXX
       ----------------------------         ------------------------------------
           Assistant Secretary                    Senior Vice President

(SEAL)