SHORT TERM INVESTMENTS TRUST
24F-2NT, 1999-11-23
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<PAGE>   1
                                 UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                   FORM 24F-2
                        Annual Notice of Securities Sold
                             Pursuant to Rule 24f-2

 Read instructions at end of Form before preparing Form. Please print or type.

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1.    Name and address of issuer:

          SHORT-TERM INVESTMENTS TRUST
          11 GREENWAY PLAZA, SUITE 100
          HOUSTON, TEXAS 77046-1173

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2.    The name of each series or class of securities for which this Form is
      filed (if the Form is being filed for all series and classes of
      securities of the issuer, check the box but do not list series or
      classes):
                                                                       [ X ]

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3.    Investment Company Act File Number: 811-2729

      Securities Act File Number: 2-58287

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4(a). Last day of fiscal year for which this Form is filed: 8-31-99

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4(b). [ ] Check box if this Form is being filed late (i.e., more than 90
          calendar days after the end of the issuer's fiscal year).
          (See Instruction A.2)


Note: If the Form is being filed late, interest must be paid on the
registration fee due.

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4(c). [ ] Check box if this is the last time the issuer will be filing
          this Form.


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<PAGE>   2
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<TABLE>
<S>                                                                    <C>                     <C>
5. Calculation of registration fee:

             (i)   Aggregate sale price of securities sold during
                   the fiscal year pursuant to section 24(f):                                   $ 35,984,361,824
                                                                                                ----------------

             (ii)  Aggregate price of securities redeemed or
                   repurchased during the fiscal year:                  $ 35,714,612,451
                                                                        ----------------

             (iii) Aggregate price of securities redeemed or
                   repurchased during any prior fiscal year
                   ending no earlier than October 11, 1995
                   that were not previously used to reduce regis-
                   tration fees payable to the Commission:              $ 269,749,373
                                                                        -------------

             (iv) Total available redemption credits [add Items
                   5(ii) and 5(iii)]:                                                           --$ 35,984,361,824
                                                                                                ------------------

             (v) Net sales -- if Item 5(i) is greater than Item 5(iv)
                   [subtract Item 5(iv) from Item 5(i)]:                                        $    N/A
                                                                                                --------


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       (vi)      Redemption credits available for use in future years             $ (     -0-      )
                 -- if Item 5(i) is less than Item 5(iv) [subtract                ------------------
                 Item 5(iv) from Item 5(i)]:
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             (vii) Multiplier for determining registration fee (See
                   Instruction C.9):                                                                   x 0.000278
                                                                                                ------------------

             (viii)Registration fee due [multiply Item 5(v) by Item
                   5(vii)] (enter "0" if no fee is due):                                        = $    -0-
                                                                                                ==================

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</TABLE>
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6.    Prepaid Shares

      If the response to item 5(i) was determined by deducting an amount of
      securities that were registered under the Securities Act of 1933 pursuant
      to rule 24e-2 as in effect before October 11, 1997, then report the
      amount of securities (number of shares or other units) deducted here:
      59,092,101 . If there is a number of shares or other units that were
      registered pursuant to rule 24e-2 remaining unsold at the end of the
      fiscal year for which this form is filed that are available for use by
      the issuer in future fiscal years, then state that number here:
      3,325,358,162 .

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7.    Interest due -- if this Form is being filed more than 90 days after the
end of the issuer's fiscal year (see Instruction D):

                                                    + $    -0-
                                                    ------------------
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8. Total of the amount of the registration fee due plus any interest due [line
5(viii) plus line 7]:


                                                    = $       -0-
                                                    ==================

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<PAGE>   3
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9. Date the registration fee and any interest payment was sent to the
Commission's lockbox depository:

             Method of Delivery:

                                        [ ]    Wire Transfer
                                        [ ]    Mail or other means
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                               SIGNATURES

  This Form has been signed below by the following persons on behalf of the
  issuer and in the capacities and on the dates indicated.

  By (Signature and Title)*   /s/ DANA R. SUTTON
                           -----------------------------------
                              Dana R. Sutton, Vice President and Treasurer

  Date  November  22, 1999

 * Please print the name and title of the signing officer below the signature.
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