ALLIANCE COUNTERPOINT FUND
24F-2NT/A, 1996-05-10
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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


1.  Name and address of issuer:

    Alliance Counterpoint Fund
    1345 Avenue of the Americas
    New York, NY  10105


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

    Class A
    Class B
    Class C


3.  Investment Company Act File Number:
    811-4139

    Securities Act File Number:
    2-94093


4.  Last day of fiscal period for which this notice is filed:
    March 21, 1996


5.  Check the 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):


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:
    1,355,821 shares



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8.  Number and amount of securities registered during the fiscal
    year other than pursuant to rule 24f-2:
    852,850 shares


9.  Number and aggregate sale price of securities sold during the
    fiscal year:
        339,585 shares
    $6,157,785


10. Number and aggregate sale price of securities sold during the
    fiscal year in reliance upon registration pursuant to Rule
    24f-2:
     -0-
    $-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):
    
    


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):                            $-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):               - $-0-

    (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


                               -2-



<PAGE>

            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  1/2900

    (vii)   Fee due [line (i) or line (v)
            multiplied by line (vi)]:                         -0-

Instruction:  Issuers should complete line (ii), (iii), 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:


                            SIGNATURE

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/ Domenick Pugliese
                          ______________________
                          Assistant Secretary           
                          ______________________

Date:  May 10, 1996


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






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00250043.AG0



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