PIONEER MONEY MARKET TRUST
N-30D, 1996-08-27
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PIONEER TAX-FREE
MONEY FUND


FINAL REPORT
January 8, 1996
(Unaudited)


<PAGE>
Pioneer Tax-Free Money Fund
Balance Sheet
January 8, 1996
(Unaudited)
- ----------------------------------------------------------------------------

<TABLE>
<CAPTION>
<S>                                                                                <C> 
Assets:
  Due from Pioneering Management Corporation (Note 2)                              $      20,849
                                                                                     ------------
    Total assets                                                                   $      20,849
                                                                                     ------------

Liabilities:
  Accrued expense (Note 1)                                                         $      21,974
                                                                                    -------------
    Total liabilities                                                              $      21,974
                                                                                    -------------


Net Assets:
  Accumulated realized loss on investments (Note 1)                               $       (1,125)
                                                                                     ------------
    Total net assets (offering and redemption price of $1.00 per share)           $       (1,125)        
                                                                                     ============

</TABLE>

 

   The accompanying notes are an integral part of these financial statements.

<PAGE>

Pioneer Tax-Free Money Fund
Statement of Operations
For the Period from January 1, 1996 to January 8, 1996
(Unaudited)
- -------------------------------------------------------------------------------

<TABLE>
<CAPTION>
<S>                                                                <C>
Investment Income (Note 1):
  Interest                                                         $        343
                                                                     -----------

Expenses:
  Management fees (Note 2)                                         $        139
  Distribution fees (Note 4)                                                 42
  Transfer agent fees (Note 3)                                              162
  Professional fees                                                         420
  Accounting (Note 2)                                                       750
  Custodian fees                                                            974
  Printing                                                                    6
  Regulatory reporting                                                       96
  Miscellaneous                                                             129
                                                                     -----------
    Total expense                                                  $      2,718
    Less fees paid indirectly (Note 6)                                     (740)
    Less management fees waived and expenses assumed
      by Pioneering Management Corporation (Note 2)                $      1,879
                                                                     -----------
    Net expenses                                                   $         99
                                                                     -----------
      Net increase in net assets resulting from operations         $        244
                                                                     ===========

</TABLE>


   The accompanying notes are an integral part of these financial statements.

<PAGE>

Pioneer Tax-Free Money Fund
Statement of Changes in Net Assets
For the Period from January 1, 1996 to January 8, 1996 and for the Year
Ended December 31, 1995
(Unaudited)
- -------------------------------------------------------------------------------

<TABLE>
<CAPTION>
<S>                                                                             <C>                    <C>
                                                                                January 1, 1996        
                                                                                      to               Year Ended       
                                                                                January 8, 1996           1995
                                                                                ---------------     ---------------
From Operations: 
  Net investment income                                                         $          244     $       210,152
  Net realized loss on investments                                                        -                 (1,125)
                                                                                 -------------       --------------
    Net increase in net assets resulting from operation                         $          244     $       209,027
                                                                                 --------------      --------------

Distributions to Shareholders from:
  Net investment income ($0.00 and $0.03 per share, respectively)               $         (244)    $      (210,152)  
                                                                                 --------------      ---------------
                                                                                     

From Fund Share Transactions (at $1.00 per share):
  Net proceeds from sale of shares                                              $     -            $    11,315,345
  Net asset value of shares issued to shareholders in reinvestment of dividends       -                    180,768 
  Cost of shares repurchased                                                        (2,295,823)        (19,259,298)
                                                                                 ---------------     ---------------
    Net decrease in net assets resulting from fund share transactions           $   (2,295,823)    $    (7,763,185)
                                                                                 ---------------     --------------- 
      Net decrease in net assets                                                $   (2,295,823)    $    (7,764,310)

Net Assets:
  Beginning of period                                                                2,294,698          10,059,008
                                                                                   --------------   ----------------
  End of period                                                                 $       (1,125)    $     2,294,698
                                                                                   ==============   ================

</TABLE>


   The accompanying notes are an integral part of these financial statements.



<PAGE>
Pioneer Tax-Free Money Fund
Financial Highlights
Selected Data for a Share Outstanding for the Periods Presented

<TABLE>
<CAPTION>
<S>                                                              <C>                 <C>          <C>           <C>  
                                                               January 1,1996       
                                                                 to Janaury 8,         For the Year Ended December 31,     
                                                                     1996         ----------------------------------------
                                                                 (Unaudited)         1995            1994          1993   
                                                                ------------      ----------     ----------     ----------

Net asset value, beginning of period                          $        1.00     $      1.00    $       1.00    $     1.00 
                                                                ------------      ----------     ----------     ----------     
Income from investment operations:
   Net investment income                                      $      --         $      0.03    $      0.02    $      0.02    
Distributions to shareholders from:
  Net investment income                                       $      --         $     (0.03)   $     (0.02)   $     (0.02)     
                                                                ------------      ----------     ----------     ----------    
  Net increase in net asset value                             $      --         $      --      $       --     $       --        
                                                                ------------      ----------     ----------     ----------    
        Net asset value, end of period                        $        1.00     $      1.00    $      1.00    $      1.00      
                                                                ============     ===========     ==========     ==========    
Total return*                                                          0.01%           3.09%          2.40%          1.92%     
Ratio of net expenses to average net assets                            4.39% ** +      0.73% +        0.50%          0.50%     
Ratio of net investment income (loss) to                             (2.59%) ** +      3.00% +        2.34%          1.92%     
   average net assets
Net assets end of period (in thousands)                       $        --       $     2,295    $    10,059    $     8,114     
Ratios assuming no waiver of management fees and
assumption of expenses by PMC and no reduction for
fees paid indirectly:
   Net expenses                                                       13.54% **        2.75%          1.87%          1.85%     
   Net investment income (loss)                                     (11.74%) **        0.98%          0.97%          0.57%     
Ratios assuming waiver of management fees or
assumption of expense by PMC and reduction for
fees paid indirectly:
   Net expenses                                                        0.52% **        0.68%           --              --           
   Net investment income                                               1.28% **        3.05%           --              --   
</TABLE>
<TABLE>
<CAPTION>
<S>                                                     <C>            <C>            <C>            <C>           <C>  
                                                                                                                     April 11,
                                                                      For the Year Ended December 31,                 1988 to
                                                         -------------------------------------------------------    December 31,
                                                             1992           1991          1990           1989          1988
                                                           ----------     ---------     ----------     ---------    ----------

Net asset value, beginning of period                     $      1.00   $      1.00    $      1.00    $     1.00   $     1.00
                                                           ----------     ---------     ----------     ---------    ---------
Income from investment operations:
   Net investment income                                 $      0.02   $      0.04    $      0.05    $     0.06   $     0.04
Distributions to shareholders from:
   Net investment income                                 $     (0.02)  $     (0.04)   $     (0.05)   $    (0.06)  $    (0.04)
                                                           ----------     ---------     ----------     ---------    ---------
  Net increase in net asset value                        $      --     $       --     $      --      $     --     $    --
                                                           ----------     ---------     ----------     ---------    ---------
        Net asset value, end of period                   $      1.00   $      1.00    $      1.00    $     1.00   $     1.00
                                                           ==========     =========     ==========     =========    =========
Total return*                                                   2.38%         4.00%          5.48%         6.06%        3.71%
Ratio of net expenses to average net assets                     0.50%         0.50%          0.50%         0.50%        4.98% **
Ratio of net investment income (loss) to average net assets     2.33%         3.91%          5.37%         5.86%        5.13% **
Net assets end of period (in thousands)                  $     7,241   $     7,539    $     6,968    $    5,351   $    3,272
Ratios assuming no waiver of management fees and
ssumption of expenses by PMC and no reduction for
fees paid indirectly:
   Net expenses                                                2.07%         1.08%          1.91%         2.27%        1.50% **
   Net investment income (loss)                                0.77%         4.81%          3.96%         4.09%        4.13% **
Ratios assuming waiver of management fees or
assumption of expense by PMC and reduction for
fees paid indirectly:
   Net expenses                                                  --             --            --            --            --
   Net investment income                                         --             --            --            --            --
<FN>
+  Ratios assuming no reduction for fees paid 
indirectly.
*  Assumes initial investment at net asset value at the beginning of each 
   period, reinvestment of all distributions, and the complete redemption of
   the investment at the net asset value at the end of each period. 
** Annualized.
</FN>
</TABLE>

   The accompanying notes are an integral part of these financial statements.
<PAGE>

Pioneer Tax-Free Money Fund
Notes to Financial Statements - January 8, 1996 (Unaudited)

- -------------------------------------------------------------------------------

1.  Pioneer  Tax-Free  Money Fund (the Fund),  one of three funds that  composed
Pioneer  Money Market  Trust (the Trust),  was a  Massachusetts  business  trust
registered under the Investment  Company Act of 1940 as a diversified,  open-end
management  investment  company.  The  investment  objective  of the Fund was to
provide high  current  income,  preservation  of capital and  liquidity  through
investments in high quality short-term securities.

On January 8, 1996,  the Tax-Free  Money Fund ceased  operations  following  the
distribution of the Fund's remaining  assets to shareholders.  Effective on such
date,  Pioneering  Management  Corporation (PMC) assumed the Fund's  outstanding
liabilities.  In addition,  the Fund's capital loss carryforward of $1,125 as of
December 31, 1995 expired when the Fund ceased  operations.  The  liquidation of
the Tax-Free  Money Fund had no effect on any of the other Pioneer  mutual funds
including the Cash Reserves Fund and U.S. Government Money Fund.

The Fund's financial  statements have been prepared in conformity with generally
accepted accounting principles that require the management of the Fund to, among
other things, make estimates and assumptions that affect the reported amounts of
assets and liabilities,  the disclosure of contingent  assets and liabilities at
the date of the financial  statements,  and the reported amounts of revenues and
expenses  during the reporting  periods.  Actual results could differ from those
estimates.  The  following  is a  summary  of  significant  accounting  policies
consistently  followed by the Fund, which are in conformity with those generally
accepted in the investment company industry:

A.  Security  Valuation  - Security  transactions  were  recorded on trade date.
Securities  were valued at amortized  cost,  which  approximated  market  value.
Interest income for securities  purchased at face (par) value was accrued daily.
Investments  purchased  at a discount or premium were valued by  amortizing  the
difference  between the original  purchase price and maturity value of the issue
over the period to maturity.

B.  Federal  Income  Taxes - For the period  ended  January  8,  1996,  the Fund
complied  with the  requirements  of the  Internal  Revenue Code  applicable  to
regulated  investment  companies  and  distributed  all  of  its  income  to its
shareholders. Therefore, no federal income tax provision was required.

C. Fund Shares - The Fund recorded  sales and  repurchases of its fund shares on
trade  date.  Shares are sold and  redeemed on a  continuous  basis at net asset
value per share. The Fund declared as daily dividends  substantially  all of its
net investment income.

2. PMC, the Fund's  investment  adviser,  managed the Fund's  portfolio and is a
wholly owned subsidiary of The Pioneer Group,  Inc. (PGI).  Management fees were
calculated  daily at the annual  rate of 0.40% of the Fund's  average  daily net
assets.  PMC agreed to waive its management  fees and to assume other  operating
expenses  of the Fund to the extent  necessary  to limit the Fund's  expenses to
0.75% of average daily net assets.

In addition,  under the management agreement,  certain other services and costs,
including accounting,  regulatory reporting and insurance premiums, were paid by
the Fund.

3. Pioneering Services  Corporation,  a wholly owned subsidiary of PGI, provided
substantially  all  transfer  agent  and  shareholder  services  to the  Fund at
negotiated rates.

4. The Trust adopted a Plan of Distribution (the Plan) that allowed for the Fund
to reimburse PFD for expenditures to finance  activities  primarily  intended to
result in the sale of fund shares.  The Plan  provided for  reimbursement  in an
amount not to exceed 0.15% of the Fund's average daily net assets.

5. The Fund entered  into certain  expense  offset  arrangements  resulting in a
reduction in the Fund's total  expenses.  For the period ended  January 8, 1996,
custody  fees  were  reduced  by $740  from  interest  earned  on cash  balances
maintained by the custodian.

<PAGE>

PIONEER TAX-FREE
MONEY FUND
60 State Street
Boston, MA  02109


OFFICERS                                          TRUSTEES
JOHN F. COGAN, JR., Chairman and President        JOHN F. COGAN, JR.
DAVID D. TRIPPLE, Executive Vice President        RICHARD H. EGDAHL, M.D.
SHERMAN B. RUSS, Vice President                   MARGARET B.W. GRAHAM
WILLIAM H. KEOUGH, Treasurer                      JOHN W. KENDRICK
JOSEPH P. BARRI, Secretary                        MARGUERITE A. PIRET
                                                  DAVID D. TRIPPLE
INVESTMENT ADVISER                                STEPHEN K. WEST
PIONEERING MANAGEMENT                             JOHN WINTHROP
CORPORATION

PRINCIPAL UNDERWRITER                             LEGAL COUNSEL
PIONEER FUNDS                                     HALE AND DORR
DISTRIBUTOR, INC.

CUSTODIAN                                         SHAREHOLDER SERVICES
BROWN BROTHERS                                    AND TRANSFER AGENT
HARRIMAN & CO.                                    PIONEERING SERVICES
                                                  CORPORATION
INDEPENDENT PUBLIC                                60 State Street
ACCOUNTANTS                                       Boston, Massachusetts  02109
ARTHUR ANDERSEN LLP




Please call Pioneer for information on:
Existing accounts, new accounts,
prospectuses, applications and service forms..............1-800-225-6292
Fund yields and prices....................................1-800-225-4321
Toll-free fax.............................................1-800-225-4240
Retirement plans .........................................1-800-622-0176
Telecommunications Device for the Deaf (TDD)..............1-800-225-1997


                                                                   0896-3642
                                          (c) Pioneer Funds Distributor, Inc.



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