FLAG INVESTORS MARYLAND INTERMEDIATE TAX FREE FUND INC/
24F-2NT, 1996-05-23
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       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:

  Flag Investors Maryland Intermediate Tax Free Income Fund, Inc.
       135 East Baltimore Street
       Baltimore, MD  21202
  _________________________________________________________________

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

       Class A Shares
       Institutional Shares

  _________________________________________________________________

  3.   Investment Company Act File Number:  811-7922

       Securities Act File Number:  33-66870

  _________________________________________________________________

  4.   Last day of fiscal year for which this notice is filed:

       March 31, 1996


  _________________________________________________________________

  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:

       N/A





                              1 <PAGE> 
<PAGE>




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

       N/A
  _________________________________________________________________

  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:

       1,091,230 shares @ $10,875,627 (see attached Schedule A)
  _________________________________________________________________

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

       1,091,230 shares @ $10,875,627 (see attached Schedule A)
  _________________________________________________________________

  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):

       Included in Item 9 above
















                              2 <PAGE>
<PAGE>




  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):
                                                $        10,875,627 
                                                       _____________
       (ii) Aggregate price of shares issued in connection with
            dividend reinvestment plans (from Item 11, if
            applicable):
                                                +          --       
                                                       _____________
       (iii) Aggregate price of shares redeemed or repurchased
             during the fiscal year (if applicable):
                                                -         5,036,544 
                                                       _____________
       (iv) Aggregate price of shares redeemed or repurchased and
            previously applied as a reduction to filing fees
            pursuant to rule 24e-2 (if applicable):
                                                +          --       
                                                       _____________
       (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):
                                                $         5,839,083 
                                                       _____________
       (vi) Multiplier prescribed by Section 6(b) of the Securities
            Act of 1933 or other applicable law or regulation (see
            Instruction C.6):
                                                x      1/2,900      
                                                       _____________
       (vii) Fee due [line (i) or line (v) multiplied by line
             (vi)]:


                                                $          2,013.48 
                                                       =============
  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.














                              3 <PAGE> 
<PAGE>




  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:

       May 17, 1996



                              SIGNATURES

  This report has been signed by the following person on behalf of
  the issuer and in the capacities and on the date indicated.

  By (Signature and Title)*     /s/Joseph A. Finelli           
                                Joseph A. Finelli, Treasurer



  Date  May 23, 1996   

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


























                              4 <PAGE> 
<PAGE>
<TABLE>
                                          Schedule A 
                                   to Rule 24f-2 Notice of 
                Flag Investors Maryland Intermediate Tax-Free Income Fund, Inc.

<CAPTION>


                            Proceeds        Front-end                     Proceeds                    Cost of 
                            from            Sales           Shares        from           Shares       Shares
Class         Shares        Shares          Commissions     Reinvested    Reinvestment   Redeemed     Redeemed
              Sold          Sold                                          Dividends

<S>           <C>           <C>             <C>             <C>           <C>            <C>          <C>

A               318,331       $3,133,248    $ 11,719        39,023        $ 382,490      488,564      $ 4,810,545

Institutional   731,839        7,327,770        --           2,037           20,400       22,388          225,999
              ---------     ------------    --------        ------        ---------      -------      -----------
              1,050,170     $ 10,461,018    $ 11,719        41,060        $ 402,890      510,952      $ 5,036,544


Computation of Fee:  $10,875,627 - 5,036,544 divided by 2,900 = $2,013.48
</TABLE>

















                                           5 <PAGE> 
<PAGE>




            { LETTERHEAD OF MORGAN, LEWIS & BOCKIUS LLP }





  May 23, 1996



  Flag Investors Maryland Intermediate
  Tax Free Income Fund, Inc.
  135 East Baltimore Street
  Baltimore, MD 21202

  Re:  Rule 24f-2 Notice for Flag Investors
       Maryland Intermediate Tax Free Income Fund, Inc.
       (File Nos. 33-66870 and 811-7922)                       

  Gentlemen:

  Flag Investors Maryland Intermediate Tax Free Income Fund, Inc.
  (the "Fund") is a corporation organized under the laws of the
  State of Maryland with its principal place of business in
  Baltimore, Maryland.  The Fund is a non-diversified management
  investment company registered with the Securities and Exchange
  Commission (the "Commission") under the Investment Company Act of
  1940 (the "1940 Act").  This opinion relates to shares of common
  stock, par value $.001 per share, sold by the Fund in reliance
  upon Rule 24f-2 during the fiscal year ended March 31, 1996, the
  registration of which is made definite by the filing of the
  attached Notice.

  We have reviewed all proceedings taken by the Fund in connection
  with the offer and sale of shares of common stock, par value
  $.001 per share, which have been offered under Prospectuses
  included as part of the Fund's Registration Statement on Form N-
  1A, as amended to the date hereof, which has been filed with the
  Commission under the Securities Act of 1933 and the 1940 Act
  (collectively, the "Registration Statement"). 

  We are of the opinion that such shares of common stock, when sold
  and issued in return for the payment described in the Fund's
  Registration Statement, were legally issued, fully paid and non-
  assessable by the Fund.


  Very truly yours,



  /s/ Morgan, Lewis & Bockius LLP


  cc:  Mr. Joseph A. Finelli
<PAGE>


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