PAINEWEBBER MUNICIPAL MONEY MARKET SERIES
485B24E, 1996-09-18
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      As filed with the Securities and Exchange Commission on September 18, 1996
                                              1933 Act Registration No. 33-36766
                                              1940 Act Registration No. 811-6173
                          SECURITIES AND EXCHANGE COMMISSION
                               Washington, D.C.  20549

                                      FORM N-1A

         REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933     [  X  ]

              Pre-Effective Amendment No.                        [      ]
              Post-Effective Amendment No.  12                   [  X   ]

     REGISTRATION STATEMENT UNDER THE INVESTMENT COMPANY ACT OF 1940   [     ]  
                   
              Amendment No.         
                          (Check appropriate box or boxes.)

                      PAINEWEBBER MUNICIPAL MONEY MARKET SERIES
                  (Exact name of registrant as specified in charter)

                             1285 Avenue of the Americas
                              New York, New York  10019
                       (Address of principal executive offices)

          Registrant's telephone number, including area code: (212) 713-2000

                              DIANNE E. O'DONNELL, Esq.
                       Mitchell Hutchins Asset Management Inc.
                             1285 Avenue of the Americas
                              New York, New York  10019
                       (Name and address of agent for service)

                                     Copies to:
                                ELINOR W. GAMMON, Esq.
                             Kirkpatrick & Lockhart LLP
                    1800 Massachusetts Avenue, N.W.; Second Floor
                             Washington, D.C.  20036-1800
                              Telephone: (202) 778-9000

              It is proposed that this filing will become effective:
     [  X  ]  Immediately upon filing pursuant to Rule 485(b)
     [     ]  On _________________ pursuant to Rule 485(b)
     [     ]  60 days after filing pursuant to Rule 485(a)(i)
     [     ]  On _________________ pursuant to Rule 485(a)(i)
     [     ]  75 days after filing pursuant to Rule 485(a)(ii)
     [     ]  On _________________ pursuant to Rule 485(a)(ii)

     Registrant has filed a declaration pursuant to Rule 24f-2 under the
     Investment Company Act of 1940 and filed the notice required by such Rule
     for its most recent fiscal year on August 27, 1996. 
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     <TABLE>
     <CAPTION>
                                                  PAINEWEBBER MUNICIPAL MONEY MARKET SERIES

                                                       CALCULATION OF REGISTRATION FEE


                                                   Proposed Maximum      Proposed Maximum
       Securities Being      Amount of Shares      Offering Price Per    Aggregate Offering     Amount of
       Registered            Being Registered      Unit                  Price                  Registration Fee
       ________________      ________________      ________________      _________________      _____________


       <S>                   <C>                   <C>                   <C>                    <C>
       Shares of
       Beneficial
       Interest, Par Value
       $0.001                 38,159,263           $ 1.00                $290,000*              $100.00


     The fee for the above shares to be registered by this filing has been computed on the basis of the price in effect on September
     11, 1996.

     _______________________

     *Calculation of the proposed maximum aggregate price has been made pursuant to Rule 24e-2 under the Investment Company Act of
     1940.  During its fiscal period ended June 30, 1996, Registrant redeemed or repurchased an aggregate of 276,794,358 shares of
     beneficial interest.  During its current fiscal year, Registrant used 238,925,095 shares of this amount for a reduction
     pursuant to paragraph (c) of Rule 24f-2 under the Investment Company Act of 1940.  Registrant is filing this post-effective
     amendment to use the remaining 37,869,263 shares of the total redemptions and repurchases during its fiscal period ended
     June 30, 1996 to reduce the fee that would otherwise be required for the shares registered hereby.  During its current fiscal
     year, Registrant has filed no other post-effective amendment for the purpose of the reduction pursuant to paragraph (a) of
     Rule 24e-2.

     </TABLE>
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                                     SIGNATURES 

              Pursuant to the requirements of the Securities Act of 1933 and
     the Investment Company Act of 1940, the Registrant certifies that it meets
     all the requirements for effectiveness of this Post-Effective Amendment to
     its Registration Statement pursuant to Rule 485(b) under the Securities
     Act of 1933 and has duly caused this Post-Effective Amendment to be signed
     on its behalf by the undersigned, thereunto duly authorized, in the City
     of New York and State of New York, on the 17th day of September, 1996.

                                       PAINEWEBBER MUNICIPAL MONEY MARKET
                                       SERIES

                                       By:  /s/ Dianne E. O'Donnell         
                                                Dianne E. O'Donnell
                                                Vice President and Secretary

              Pursuant to the requirements of the Securities Act of 1933, this
     Post-Effective Amendment has been signed below by the following persons in
     the capacities and on the dates indicated:

     <TABLE>
     <CAPTION>
       Signature                                         Title                               Date
       ---------                                         -----                               ----

       <S>                                               <C>                                 <C>
       /s/ Margo N. Alexander                            President and Trustee               Sept. 17, 1996
       -----------------------------                     (Chief Executive Officer)
       Margo N. Alexander *
       /s/ E. Garrett Bewkes, Jr.                        Trustee and Chairman                Sept. 17, 1996
       -----------------------------                     of the Board of Trustees
       E. Garrett Bewkes, Jr. *

       /s/ Richard Q. Armstrong                          Trustee                             Sept. 17, 1996
       -----------------------------
       Richard Q. Armstrong *

       /s/ Richard R. Burt                               Trustee                             Sept. 17, 1996
       -----------------------------
       Richard R. Burt *
       /s/ Mary C. Farrell                               Trustee                             Sept. 17, 1996
       -----------------------------
       Mary C. Farrell *

       /s/ Meyer Feldberg                                Trustee                             Sept. 17, 1996
       -----------------------------
       Meyer Feldberg *
       /s/ George W. Gowen                               Trustee                             Sept. 17, 1996
       -----------------------------
       George W. Gowen *
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       /s/ Frederic V. Malek                             Trustee                             Sept. 17, 1996
       -----------------------------
       Frederic V. Malek *

       /s/ Carl W. Schafer                               Trustee                             Sept. 17, 1996
       -----------------------------
       Carl W. Schafer *
       /s/ John R. Torell III                            Trustee                             Sept. 17, 1996
       -----------------------------
       John R. Torell III *

       /s/ Julian F. Sluyters                            Vice President and Treasurer        Sept. 17, 1996
       -----------------------------                     (Chief Financial and Accounting
       Julian F. Sluyters                                Officer)

     </TABLE>
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                                SIGNATURES (Continued)

     *        Signature affixed by Elinor W. Gammon pursuant to power of
              attorney dated May 21, 1996 and incorporated by reference from
              Post-Effective Amendment No. 30 to the registration statement of
              PaineWebber Managed Municipal Trust, SEC File No. 2-89016, filed
              June 27, 1996.
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                             Kirkpatrick & Lockhart LLP 
                           1800 Massachusetts Avenue, N.W.
                             Washington, D.C. 20036-1800
                                Telephone 202-778-9000






                                  September 18, 1996


     PaineWebber Municipal Money Market Series
     1285 Avenue of the Americas
     New York, New York  10019

     Dear Sir or Madam:

              PaineWebber Municipal Money Market Series ("Trust") is an
     unincorporated voluntary association organized under the laws of the
     Commonwealth of Massachusetts pursuant to an Agreement and Declaration of
     Trust dated September 14, 1990, as amended.  The Trust currently consists
     of two series of shares of beneficial interest:  PaineWebber RMA
     Connecticut Municipal Money Fund and PaineWebber New Jersey Municipal
     Money Fund.  We understand that the Trust is about to file Post-Effective
     Amendment No. 12 to its Registration Statement on Form N-1A under the
     Securities Act of 1933 ("1933 Act"), pursuant to Section 24(e)(1) of the
     Investment Company Act of 1940, as amended ("1940 Act").

              We have, as counsel to the Trust, been advised of the various
     business and other proceedings relating to the Trust.  We have examined
     copies, either certified or otherwise proved to be genuine, of the
     Declaration of Trust and By-Laws of the Trust and other documents relating
     to its organization and operations.  Based on the foregoing, it is our
     opinion that the shares of the Trust currently being registered pursuant
     to Section 24(e)(1) of the 1940 Act, as reflected in Post-Effective
     Amendment No. 12, may be legally and validly issued from time to time in
     accordance with the Trust's Declaration of Trust and By-Laws and subject
     to compliance with the 1933 Act, the 1940 Act and various state laws
     regulating the offer and sale of securities; and, when so issued, these
     shares of beneficial interest will be legally issued, fully paid and
     nonassessable.  

              The Trust is an entity of the type commonly known as a
     "Massachusetts business trust."  Under Massachusetts law, shareholders
     could, under certain circumstances, be held personally liable for the
     obligations of the Trust.  The Declaration of Trust states that persons
     with claims against the Trust shall look solely to the Trust property for
     satisfaction of claims of any nature arising in connection with the
     affairs of the Trust and that no shareholder shall be subject to any
     personal liability in connection with any liability of the Trust.  It also
     states that notice of such disclaimer may be given in any obligation,
     contract, instrument, certificate, or undertaking made or issued by the
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     PaineWebber Municipal Money Market Series
     September 18, 1996
     Page 2

     trustees of the Trust on behalf of the Trust.  The Declaration of Trust
     further provides: (i)  that the Trust shall indemnify and hold each
     shareholder harmless from and against all claims and liabilities to which
     such shareholder may become subject by reason of his being or having been
     a shareholder and (ii) that the Trust shall reimburse such shareholder for
     all legal and other expenses reasonably incurred by the shareholder in
     connection with any such claim or liability, such indemnification and
     reimbursement to be made out of the assets of the one or more series of
     which the shareholder was a shareholder at the time the act or event
     occurred which gave rise to the claim against or liability of such
     shareholder.  Thus, the risk of a shareholder incurring financial loss on
     account of shareholder liability is limited to circumstances in which the
     Trust or a series thereof would be unable to meet its obligations.

              We hereby consent to the inclusion of this opinion as an exhibit
     in Post-Effective Amendment No. 12 to the Trust's Registration Statement
     on Form N-1A, which you are about to file with the Securities and Exchange
     Commission.

                                       Very truly yours,

                                       KIRKPATRICK & LOCKHART LLP


                                       By:/s/Elinor W. Gammon       
                                          --------------------------
                                          Elinor W. Gammon
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