AMERICAN HERITAGE FUND INC
24F-2NT, 1997-07-23
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<PAGE>   1
            ANNUAL NOTICE OF SECURITIES SOLD PURSUANT TO RULE 24F-2

                    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:  The American Heritage Fund, Inc.
                                 1370 Avenue of the Americas
                                 New York, New York 10019
- --------------------------------------------------------------------------------
2.  Name of each series or class of funds for which this notice is filed:

                                 Capital Stock
- --------------------------------------------------------------------------------
3.  Investment Company Act File Number: 811-601

    Securities Act File Number:         2-11193
- --------------------------------------------------------------------------------
4.  Last day of fiscal year for which this notice is filed: May 31, 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 
- --------------------------------------------------------------------------------
9.  Number and aggregate sale price of securities sold during the fiscal year:

    9,479,452.862       $7,340,440.24
- --------------------------------------------------------------------------------
10. Number and aggregate sale price of securities sold during the fiscal year
    in reliance upon registration pursuant to rule 24f-2:
    
    9,479,452.862 shares       $7,340,440.24
- --------------------------------------------------------------------------------

<PAGE>   2
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):
                None

- ----------------------------------------------------------------------------
12. Calculation of registration fee:
    (i)   Aggregate sale price of securities sold during the fiscal year in
          reliance on rule 24f-2 (from Item 10):

                                                               $7,340,440.24
                                                               -------------
    (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):
                                                              -10,941,051.27
                                                               -------------
    (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 (vi)] (if applicable):
                                                              ($3,600,611.03
                                                               -------------
    (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) multiplied by line (vi)]:
                                                                    -0-
                                                               =============

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:

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

                                     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/ Heiko H. Thieme
                         ---------------------------------------------------

                              Heiko H. Thieme, Chief Executive Officer
                         ---------------------------------------------------

Date July 21, 1997
     -------------

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






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