INSURED MUNICIPAL SECURITIES TRUST 32ND DISCOUNT SERIES
24F-2NT, 1997-08-22
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                     U.S. 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.


1.       Name and address of issuer:

         Reich & Tang Distributors L.P.
         600 Fifth Avenue
         New York, New York  10020-2302

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

         Insured Municipal Securities Trust, 32nd Discount Series







3.       Investment Company Act File Number:         811-2868

         Securities Act File Number:        33-16498

4.       Last day of fiscal year for which this notice is filed: June 30, 1997

5.       Check box if this notice is being filed more than 180 days after the
         close of the 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):

         Not Applicable

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:

         None

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

         None



C/M:  11939.0008 375304.1

<PAGE>



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

                0      Shares               $        0
         -------------                       ---------

10.      Number and aggregate sale price of securities sold during the fiscal
         year in reliance upon registration pursuant to rule 24f-2:

                0      Shares               $        0
         -------------                       ---------

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):

         Not Applicable

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)                                        $           0
                                                                                      
    (ii) Aggregate price of shares issued in connection with dividend                 
         reinvestment plans (from Item 11, if applicable):                            +           0
                                                                                      
   (iii) Aggregate price of shares redeemed or repurchased during the fiscal          
         year (if applicable):                                                        -       4,784.50
                                                                                      
    (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):                                        $           0
                                                                                           
    (vi) Multiplier prescribed by Section 6(b) of the Securities Act of 1933               
         or other applicable law or regulation (see instruction C.6):                 X        1/33%
                                                                                           
   (vii) Fee due [line (i) or line (v) multiplied by line (vi)]:                      $           0
</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).

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


C/M:  11939.0008 375304.1

<PAGE>



                                   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 Title)
 *
                     /s/ PETER J. DEMARCO
                     --------------------------------------
                     Peter J. DeMarco, Authorized Signatory


            Date:  August 13, 1997










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

C/M:  11939.0008 375304.1


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