OPPENHEIMER ZERO COUPON US TREASURIES TRUST SERIES E
24F-2NT, 1997-02-28
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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:

          Oppenheimer Zero Coupon U.S. Treasuries Trust
          Two World Trade Center
          New York, NY 10048-0203

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

          Series E

3.   Investment Company Act File Number: 811-4164

          Securities Act File Number: 33-28370

4.   Last day of fiscal year for which this notice is filed:  12/31/96

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):

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-

8.   Number and amount of securities registered during the fiscal year other 
     than pursuant to rule 24f-2:  -0-

9.   Number and aggregate sale price of securities sold during the fiscal
     year:  -0-

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

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 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 1/3300
                                                                 ------------
     (vii) Fee due (line (i) or line (v) multiplied by 
           line (vi)):                                           $  -0-
                                                                 ------------

Instruction: Issuers should complete line (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 Instructions 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 Rule 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.

                             Oppenheimer Zero Coupon U.S. Treasuries
                                 Trust


                                   /s/ Robert J. Bishop
                                   
                             By:______________________________________
                                Robert J. Bishop, Assistant Treasurer

Date: 2/27/97


cc: Ronald M. Feiman, Esq.
    Katherine Feld
    Gloria LaFond


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