LMH FUND LTD
24F-2NT, 1996-08-26
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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:              LMH Fund, Ltd.
                                            560 Hudson St., 2nd Fl.
                                            Hackensack, NJ  17601
- ------------------------------------------------------------------------------
2. Name of each series or class of funds for which this notice is filed:

         Common Stock
- ------------------------------------------------------------------------------
3. Investment Company Act File Number:               811-3758

   Securities Act File Number:              2-84222
- ------------------------------------------------------------------------------
4. Last day of fiscal year for which this notice is filed: 06-30-96

- ------------------------------------------------------------------------------
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: N/A
                                                             [ ]
- ------------------------------------------------------------------------------
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.             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:

         7,512                      $172,816.00
- ------------------------------------------------------------------------------


<PAGE>


- ------------------------------------------------------------------------------
10. Number and aggregate sale price of securities sold during the fiscal year In
    reliance upon registration pursuant to rule 24f-2:
         7,512                              $172,816.00
- ------------------------------------------------------------------------------
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 per Instruction B.7)
- ------------------------------------------------------------------------------
12. Calculations of registration fee:


    (i)  Aggregate sale price securities sold during
         The fiscal year in reliance on rule 24f-2 (from                $172,816
         Item 10):

   (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 repuchased
            during the fiscal year (if applicable):                  -   451,012
                                                                      ----------

   (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   1/2900

  (vii)  Fee due [line (I) or line (v) multiplied by
         line (vi):                                                  $         0
                                                                    ============
                                                 
Instruction:  Issuers should complete lines (ii), (iii), and (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). N/a     [ ]

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

- ------------------------------------------------------------------------------
                                                      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/ Steven J. Paggioli,
                              Steven J. Paggioli, Assistant Treasurer


Date 08-23-96
*Please print the name and title of the signing officer below the signature.


<PAGE>


August 22, 1996



LMH Fund, Ltd.
560 Hudson Street, 2nd Floor
Hackensack, N.J.  07601

Dear Sirs:

                  LMH Fund, Ltd. (the "Corporation"), a Maryland corporation, is
filing with the Securities and Exchange  Commission  (the  "Commission")  a Rule
24f-2 Notice (the "Rule 24f-2 Notice")  containing the information  contained in
paragraph  (b)(1) of Rule 24f-2 under the  Investment  Company  Act of 1940,  as
amended (the "Rule").  The effect of the Rule 24f-2 Notice,  when accompanied by
the filing fee, if any,  payable as  prescribed by paragraph (c) of the Rule and
by this opinion, will be to make definite in number the number of shares sold by
the Corporation  during the fiscal year ended June 30, 1996 in reliance upon the
Rule (the "Rule 24f-2 Shares").

                  In recent years,  we have furnished  advice to the Corporation
only when  consulted  by  management  with respect to a  particular  matter.  In
connection with the preparation of this opinion, we have examined copies, either
certified or otherwise proven to our satisfaction to be genuine,  of its Charter
and By-laws,  as currently in effect,  and a certificate  dated August 20, 1996,
issued by the Department of  Assessments  and Taxation of the State of Maryland,
certifying  the  existence and good  standing of the  Corporation.  We have also
reviewed the form of the Rule 24f-2 Notice being filed by the Corporation.

                  The Corporation has advised us that the Rule 24f-2 Shares were
sold in the manner  contemplated by the prospectus of the Corporation current at
the time of sale, and that the Rule 24f-2 Shares were sold in numbers within the
limits prescribed by the Corporation's Charter for a consideration not less than
the par value  thereof as required by the laws of Maryland and not less than the
net asset value  thereof as required by the  Investment  Company Act of 1940, as
amended.

                  Based upon the foregoing, it is our opinion that:

          1.    The Corporation has been duly organized and is legally existing 
                under the laws of the State of Maryland.

          2.    The Corporation is authorized to issue thirty million 
                (30,000,000) shares of capital stock. Under Maryland law (i) the
                Board of Directors of the Corporation may


<PAGE>


LMH Fund, Ltd.
August 22, 1996
Page 2


                  increase or decrease the number of shares that the Corporation
                  has authority to issue,  and (ii) shares which were issued and
                  which have  subsequently been redeemed by the Corporation are,
                  by  virtue  of such  redemption,  restored  to the  status  of
                  authorized and unissued shares.

         3.       The Rule 24f-2 Shares were legally issued and are fully paid 
                  and non-assessable.

                  We  hereby  consent  to the  filing of this  opinion  with the
Commission  together with the Rule 24f-2 Notice of the  Corporation,  and to the
filing of this opinion under the securities laws of any state.

                  We are  members of the Bar of the State of New York and do not
hold ourselves out as being conversant with the laws of any  jurisdiction  other
than those of the United  States of America  and the State of New York.  We note
that we are not licensed to practice  law in the State of  Maryland,  and to the
extent that any opinion herein involves the law of Maryland, such opinion should
be understood  to be based solely upon our review of the  documents  referred to
above,  the published  statutes of the State of Maryland and, where  applicable,
published cases, rules or regulations of regulatory bodies of that State.


                                Very truly yours,



                                Shereff, Friedman, Hoffman & Goodman, LLP


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