AIM INVESTMENT SECURITIES FUNDS INC
24F-2NT, 1996-09-26
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<PAGE>   1
                     U.S. SECURITIES & 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.

1. Name and address of issuer:                  

   AIM Investment Securities Funds
   11 Greenway Plaza, Suite 1919
   Houston, Texas 77046-1173

2. Name of each series or class of funds for which this notice is filed:

   Limited Maturity Treasury Portfolio-AIM Limited Maturity Treasury Shares
   Limited Maturity Treasury Portfolio-Institutional Shares

3. Investment Company Act File Number:          811-5686

   Securities Act File Number:                   33-39519


4. Last day of fiscal year for which this notice is filed: 7-31-96

5. Check box if this notice is being filed more than 180 days after the
   close of issuer's fiscal year for purposes of reporting securities
   sold after the close of the fiscal year but before termination of
   the issuer's 24f-2 declaration                                 [ ]


6. Date of termination of issuer's declaration under rule 24f-2(a)(1), if 
   applicable (see Instruction A.6):                                    


7. Number and amount of securities of the same class or series which had
   been registered under the Securities Act of 1933 other than pursuant
   to rule 24f-2 in a prior fiscal year, but which remained unsold at the
   beginning of the fiscal year:

   -0-                  -0-

8. Number and amount of securities registered during the fiscal year other
   than pursuant to rule 24f-2:                          

   -0-                  -0-

9. Number and aggregate sale price of securities sold during the fiscal year:

   32,623,205            $328,035,846
<PAGE>   2
10. Number and aggregate sale price of securities sold during the fiscal year
    in reliance upon registration pursuant to rule 24f-2:

    32,623,205              $328,035,846

11. Number and aggregate sale price of securities issued during the fiscal
    year in connection with dividend reinvestment plans, if applicable (see
    Instruction B.7):


12. Calculation of registration fee:

<TABLE>
    <S>   <C>                                                       <C>
    (i)   Aggregate sale price of securities sold during the
          fiscal year in reliance on rule 24f-2 (from Item 10):     $ 328,035,846
                                                                    -----------------

    (ii)  Aggregate price of shares issued in connection 
          with dividend reinvestment plan (from Item 11, if 
          applicable):                                              +     -0-
                                                                    -----------------

    (iii) Aggregate price of shares redeemed or repurchased 
          during the fiscal year (if applicable):                   - 225,719,605
                                                                    -----------------

    (iv)  Aggregate price of shares redeemed or repurchased
          and previously applied as a reduction to filing
          fees pursuant to rule 24e-2 (if applicable):              +     -0-
                                                                    -----------------

    (v)   Net aggregate price of securities sold and issued 
          during the fiscal year in reliance on rule 24f-2
          [line (i), plus line (ii), less line (iii), plus
          line (iv)] (if applicable):                                 102,316,241
                                                                    -----------------

    (vi)  Multiplier prescribed by Section 6(b) of the
          Securities Act of 1933 or other applicable law or 
          regulation (see instruction C.6):                         x 1/2900
                                                                    -----------------


    (vii) Fee due [line (i) or line (v) multipled by line (vi)]:    $ 35,281.46
                                                                    =================
</TABLE>

Instruction: Issuers should complete lines (ii), (iii), (iv), and (v) only if
             the form is being filed within 60 days after the close of the 
             issuer's fiscal year. See Instruction C.3.

13. Check box if fees are being remitted to the Commission's lockbox depository
    as described in section 3a of the Commission's Rules of Informal and Other 
    Procedures (17 CFR 202.3a).            
                                                      [X]

    Date of mailing or wire transfer of filing fees to the Commission's lockbox
    depository:    9/25/96                


                                   SIGNATURES

    This report 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 Tile)*       /s/ DANA R. SUTTON, 
                                   --------------------------------------------
                                   Dana R. Sutton, Vice President and Assistant
                                                   Treasurer
                                   --------------------------------------------
    Date September 26,1996
         -----------------

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

<PAGE>   1


               [LETTERHEAD OF BALLARD SPAHR ANDREWS & INGERSOLL]


                                                              September 20, 1996


AIM Investment Securities Funds
11 Greenway Plaza
Suite 1919
Houston, Texas  77046

        Re:  Rule 24f-2 Notice for AIM Investment
             Securities Funds - Securities Act
             File No. 33-39519                                
             ------------------------------------

Gentlemen:
        
        We have acted as counsel to AIM Investment Securities Funds (the
"Fund"), a Delaware business trust registered with the Securities and Exchange
Commission under the Investment Company Act of 1940 as an open-end management,
series investment company.

        We have been informed that a registration statement on Form N-1A, as
amended (the "Registration Statement") relating to an indefinite number of
shares of beneficial interest in the Fund (the "Shares") has been filed with
the Securities and Exchange Commission under the Securities Act of 1933
(Securities Act File No. 33-39519).

        We further understand that, pursuant to the provisions of Rule 24f-2,
the Fund is filing with the Securities and Exchange Commission a notice (the
"Notice") making definite the registration of such Shares sold in reliance on
Rule 24f-2 for the fiscal year ended July 31, 1996.  Specifically, we have been
informed by the Fund that a total of 32,623,205 Shares (representing interests
in a series portfolio existing during such fiscal year) were issued from time
to time during such fiscal year under Prospectuses which were included as part
of the Registration Statement.  The Fund has requested our opinion in
connection with the filing of such Notice, for inclusion in such filing.
<PAGE>   2
AIM Investment Securities Funds
September 20, 1996
Page 2




        In connection with our giving of this opinion, we have examined a copy
of the Fund's Agreement and Declaration of Trust, as amended, and originals or
copies, Certified or otherwise identified to our satisfaction, of such other
documents as we have deemed necessary or advisable for purposes of this
opinion. As to various questions of fact material to our opinion, we have
relied upon information provided by officers of the Fund.

        Based upon the foregoing, we are of the opinion that the 32,623,205
Shares issued by the Fund during its fiscal year ended July 31, 1996 were, when
issued for payment as described in the Fund's Prospectuses referred to above,
legally issued, fully paid and non-assessable by the Fund.

        Both the Delaware Business Trust Act and the Fund's Agreement and
Declaration of Trust, as amended (the "Trust Agreement"), provide that
shareholders of the Fund shall be entitled to the same limitation on personal
liability as is extended under the Delaware General Corporation Law to
stockholders of private corporations for profit.  There is a remote
possibility, however, that, under certain circumstances, shareholders of a
Delaware business trust may be held personally liable for the trust's
obligations to the extent that the courts of another state which does not
recognize such limited liability were to apply the laws of such state to a
controversy involving such obligations.  The Trust Agreement also provides for
indemnification out of Fund property for all loss and expense of any
shareholder held personally liable for the obligations of the Fund.  Therefore,
the risk of any shareholder incurring financial loss beyond his investment due
to shareholder liability is limited to circumstances in which the Fund itself
is unable to meet its obligations and the express disclaimer of shareholder
liabilities is determined not to be effective.



                                           Very truly yours,

                                           /s/ BALLARD SPAHR ANDREWS & INGERSOLL



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