AMENDMENT NO. 4 TO SECOND AMENDED AND RESTATED CUSTODY AGREEMENT

                                                                 EXHIBIT g(1)(g)


                                AMENDMENT NO. 4
                                      TO
                          SECOND AMENDED AND RESTATED
                               CUSTODY AGREEMENT

This Amendment No. 4 (the "Amendment") to the Custody Agreement (the
"Agreement") is made this _____ day of __________, 2001 by and between AIM
ADVISORS, INC., a Delaware corporation (the "Administrator"), THE BANK OF NEW
YORK, a New York corporation ("BONY") and SHORT-TERM INVESTMENTS CO., a Maryland
corporation (the "Company") with respect to its Cash Assets Portfolio (the
"Portfolio").

WHEREAS, the Administrative Services Agreement between the Administrator and the
Company on behalf of the Portfolio (the "Administrative Services Agreement")
provides, in part, for the assumption by the Administrator of all Ordinary
Business Expenses, as defined in that agreement, that would otherwise be
incurred by the Portfolio under the Administrative Services agreement; and

WHEREAS, Article XV, Section 9 of the Agreement provides that the Company on
behalf ot its portfolios shall pay certain compensation and expenses to BONY.

NOW, THEREFORE, the parties hereto agree to amend the Agreement as follows;

1.  Notwithstanding anything to the contrary in Article XV, Section 9 of the
    Agreement or in any other agreement between the Company and BONY adopted
    pursuant to Article XV, Section 9 of the Agreement, any compensation or
    expenses payable by the Company on behalf of the Portfolio to BONY pursuant
    to Article XV, Section 9 of the Agreement or such other agreement shall be
    paid by, and shall be the direct obligation of, the Administrator, and BONY
    agrees to hold to the Administrator solely responsible for payment of such
    compensation and expenses.

2.  As between the Administrator and the company on behalf of the Portfolio, the
    Company agrees to reimburse the Administrator for any payments made by the
    Administrator to BONY pursuant to the preceding paragraph that would not
    constitute ordinary Business Expenses, as defined in the Administrative
    Services Agreement, of the Portfolio.


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

                                      A I M ADVISORS, INC.

Attest:_____________________          By:__________________________
       Assistant Secretary               President

(SEAL)

                                      SHORT-TERM INVESTMENT CO.
                                      ON BEHALF OF CASH ASSETS PORTFOLIO

Attest:______________________         By:__________________________
       Assistant Secretary               President

(SEAL)

                                      THE BANK OF NEW YORK

Attest:_______________________        By:__________________________

Name:_________________________        Name:________________________

Title:________________________        Title:_______________________


(SEAL)