AIM SUMMIT FUND INC
485BPOS, EX-99.H12B, 2000-06-28
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                                                                EXHIBIT h(12)(b)

                    AMENDMENT NUMBER 1 TO THE TRANSFER AGENCY
                              AND SERVICE AGREEMENT



This Amendment, dated as of March 13, 2000, is made to the Transfer Agency and
Service Agreement dated April 29, 1999 (the "Agreement"), between AIM Summit
Fund, Inc. (the "Fund") and A I M Fund Services, Inc. (the "Transfer Agent")
pursuant to Article 10 of the Agreement.

WHEREAS, the Fund on behalf of Class I Shares desires to appoint the Transfer
Agent as its transfer agent, and agent in connection with certain other
activities, with respect to the Class, and the Transfer Agent desires to accept
such appointment.

Sections 1.01 and 2.04 of the Agreement are hereby deleted in their entirety and
replaced with the following:

                  "1.01 Subject to the terms and conditions set forth in this
         Agreement, the Fund hereby employs and appoints the Transfer Agent to
         act as, and the Transfer Agent agrees to act as, its transfer agent for
         the authorized and issued Class I and Class II Shares of common stock
         of the Fund representing interests of the Fund ("Shares"), dividend
         disbursing agent, and paying agent in connection with any accumulation
         or similar plans provided to shareholders of the Class (the
         "Shareholders"), including without limitation any periodic investment
         plan or periodic withdrawal program, as provided in the currently
         effective prospectus and statement of additional information (the
         "Prospectus") of the Fund, AIM Summit Investors Plans I or AIM Summit
         Investors Plans II, both unit investment trusts.

                  "2.04 The Transfer Agent shall pay unless and until instructed
         by the Fund to the contrary, those fees and account maintenance charges
         of State Street Bank and Trust Company set forth on Schedule B hereto
         which may be amended from time to time by the Fund with the approval of
         its Board of Directors."

The term "Class" used in the Agreement shall mean each of the Class I and Class
II shares of the Fund.

Item 1 of Schedule A of the Agreement is hereby deleted in its entirety and
replaced with the following:

         "1.      For performance by the Transfer Agent pursuant to this
                  Agreement, the Fund agrees on behalf of the Class to pay the
                  Transfer Agent an annualized fee for shareholder accounts that
                  are open during any monthly period as set forth below, and an
                  annualized fee of $.70 per shareholder account that is closed


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                  during any monthly period. Both fees shall be billed by the
                  Transfer Agent monthly in arrears on a prorated basis of 1/12
                  of the annualized fee for all such accounts.


<TABLE>
<CAPTION>
                                                      Per Account Fee
                     Fund Type                          Annualized
                     ---------                        ---------------

<S>                                                   <C>
                     Class I Shares                       $15.15

                     Class II Shares                      $15.15"
</TABLE>


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

                                               AIM SUMMIT FUND, INC.


                                               By: /s/ ROBERT H. GRAHAM
                                                  ----------------------------
                                                  President


ATTEST:

/s/ STEPHEN I. WINER
--------------------------
Assistant Secretary


                                               A I M FUND SERVICES, INC.



                                               By: /s/ JOHN CALDWELL
                                                  ----------------------------
                                                  President


ATTEST:

/s/ STEPHEN I. WINER
--------------------------
Assistant Secretary


                                       2
<PAGE>   3
                                   SCHEDULE B

              Fees payable to State Street Bank and Trust Company

      The following fees and charges will be deducted from the Fund, Plans or
from Planholder accounts and paid to the Custodian in accordance with the terms
of the Prospectus.

General
-------

      Account Services fees are based on an annual per shareholder account
charge for account maintenance plus transaction and out-of-pocket expenses.
There is a minimum charge of $1,500 per month. Fees are billable on a monthly
basis at the rate of 1/12 of the annual fee. A charge is made for an account in
the month that an account opens or closes.

Annual Account Service Fees
---------------------------
Open Account - active                              $19.00/year (1)

Activity Based Fees
-------------------
Telephone Calls                                    $ 2.50/each (1)
Correspondence                                     $ 3.00/each (1)
New Account and Setup Kits                         $ 2.50/each (1)

Planholder Fees
---------------
IRA Annual Maintenance (3)                         $10.00/year
Bounced Checks                                     $ 5.00/each
Transcripts                                        $ 5.00/each year researched
Terminations                                       $ 2.50/each
Inactive Accounts (2)                              $12.00/year

Out-of-Pocket Expenses (1)
--------------------------
      Out-of-Pocket expenses include but are not limited to: Confirmation
statements, checks, postage, forms, telephone, microfilm, microfiche, year-end
forms and expenses incurred at the specific direction of A I M Distributors,
Inc.

------------------------------

(1)   These are fees that the Fund has voluntarily elected to pay to the
      Custodian on behalf of the Plans.
(2)   A Plan that is not current and to which no investments have been made for
      a 12-month period but does not include completed plans. This fee will be
      paid annually to the Sponsor or its designee.
(3)   The Custodian will receive $6.00 and A I M Distributors, Inc. will
      receive $4.00.




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