ACTIVE ASSETS MONEY TRUST
N-30D, 1994-02-22
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<PAGE>
                                        
                                        
                            ACTIVE ASSETS MONEY TRUST
                             Two World Trade Center
                            New York, New York 10048
                                        
DEAR SHAREHOLDER:
- --------------------------------------------------------------------------------
As  of December 31, 1993, Active Assets Money Trust had assets in excess of $3.6
billion with an average maturity of 73 days. The Trust's yield for the 12 months
ended  December 31, 1993 was 2.80 percent. The yield for all first-tier  taxable
money  funds  (those that purchase only top-quality commercial paper)  was  2.62
percent, as reported by IBC/Donoghue, a leading monitor of the money-market fund
industry.

CHARACTERIZED BY STABILITY
Stability  is  the  word that best characterizes the money  markets  during  the
second  half  of 1993. In fact, the Federal Reserve Board's discount  rate  (the
rate  the Fed charges member banks for loans) has remained at 3 percent for more
than   18   months.  While  economic  statistics  during  the  period  suggested
significant  improvement in the pace of activity, there was no  indication  that
the economy was in danger of overheating. The U.S. economy currently is enjoying
a moderate, sustainable expansion.

On  December  31,  1993,  approximately 80  percent  of  the  Trust's  portfolio
consisted  of  high-quality commercial paper, with 12 percent invested  in  U.S.
Treasury and federal agency obligations, 5 percent invested in short-term  notes
issued  by  major,  financially strong commercial banks,  and  the  remaining  3
percent invested in bankers' acceptances, also issued by such institutions.

LOOKING AHEAD
We  believe  the  Federal Reserve Board should be pleased with overall  economic
conditions and the behavior of the financial markets for 1993 and early 1994. Of
course,  the  Federal  Reserve  Board's  Governors  must  always  be  alert   to
inflationary  dangers,  currency realignments and a  host  of  other  constantly
changing variables. We expect the Fed may register its concerns at some point in
1994  by  raising short-term rates modestly. Nonetheless, we do  not  anticipate
dramatic changes in monetary conditions since we expect both inflation  and  the
pace of economic recovery to remain moderate during 1994. As always, we continue
to  emphasize  liquidity  and  preservation of capital  in  all  our  investment
decisions.

We  appreciate  your support of Active Assets Money Trust and  look  forward  to
continuing to serve your investment needs and objectives.

                                         Very truly yours,

                                         /s/ C. Fiumefreddo

                                         Charles A. Fiumefreddo
                                         Chairman of the Board

<PAGE>
<TABLE>
ACTIVE ASSETS MONEY TRUST
PORTFOLIO OF INVESTMENTS December 31, 1993 (unaudited)
- --------------------------------------------------------------------------------
<CAPTION>
                                               Annualized
Principal       Description                      Yield
Amount (in          and                        on Date of
thousands)     Maturity Date                    Purchase         Value
 -------       --------------                --------------     --------
<S>          <C>                             <C>                <C>
SHORT-TERM BANK NOTES (4.8%)
$ 156,400  FCC National Bank
             1/04/94 to 6/29/94 ..........  3.24 to 3.43%      $156,400,000
   20,000  NationsBank of N.C. NA 2/01/94..       3.28           20,000,000
                                                               ------------
TOTAL SHORT-TERM BANK NOTES
   (Amortized Cost $176,400,000) .............................  176,400,000
                                                               ------------

BANKERS' ACCEPTANCES (2.6%)
COMMERCIAL BANKS
   41,000  Chemical Bank
              1/26/94 to 3/14/94 ............ 3.24 to 3.26       40,824,496
   20,000  CoreStates Bank N.A.
              Philadelphia 6/08/94 ..........     3.37           19,709,456
   15,000  Bank of America
             N.T.&S.A. 4/19/94 ..............     3.24           14,856,450
   20,000  Republic National
             Bank, N.Y. 1/20/94 .............     3.26           19,965,905
                                                               ------------
TOTAL BANKERS' ACCEPTANCES
   (Amortized Cost $95,356,307)..............................    95,356,307
                                                               ------------

COMMERCIAL PAPER (81.0%)
AUTOMOTIVE FINANCE (2.2%)
   81,500  Ford Motor Credit Co.
             2/10/94 to 2/18/94 ............. 3.23 to 3.36       81,175,579
                                                                -----------

BANKS: COMMERCIAL (20.1%)
  100,000  ABN AMRO N.A. Fin., Inc.
             1/26/94 to 1/28/94 ............  3.23 to 3.27       99,768,139
  174,400  Barclays U.S. Funding Corp.
             1/03/94 to 2/28/94 ............  3.20 to 3.38      174,052,129
  170,800  Canadian Imperial Holdings Inc.
             1/12/94 to 3/31/94 ............  3.23 to 3.38      170,012,243
   73,850  CommerzBank US Finance Inc.
             8/12/94 to 9/06/94 ............  3.53 to 3.57       72,209,056
   20,450  Northern Trust Company 1/24/94         3.21           20,408,190
   29,300  Societe Generale N.A. Inc.
             2/23/94 .......................      3.30           29,160,239
  170,450  Toronto-Dominion Holdings (USA)
             Inc. 1/25/94 to 3/10/94 .......  3.22 to 3.38      169,911,330
                                                              -------------
                                                                735,521,326
                                                              -------------

BANK HOLDING COMPANIES (14.7%)
 $ 22,700  BankAmerica Corp.
             1/03/94 to 1/18/94 ............  3.22 to 3.41%   $  22,685,755
  157,200  Bankers Trust N.Y
             Corp. 1/12/94 to 8/02/94 ......  3.26 to 3.49      156,500,559
  135,000  NationsBank Corp.
             1/19/94 to 2/14/94 ............  3.23 to 3.28      134,605,417
   45,000  Norwest Corporation
             1/24/94 to 2/17/94 ............  3.30 to 3.37       44,860,559
  110,000  PNC Funding Corp.
             2/15/94 to 3/22/94 ............  3.22 to 3.36      109,381,361
   40,000  Republic New York Corp.
             4/06/94  ......................      3.25           39,660,111
   30,000  Wachovia Corp. 1/20/94 ..........      3.37           29,946,958
                                                              -------------
                                                                537,640,720
                                                              -------------

BROKERAGE (8.6%)
  135,750  Goldman Sachs Group L.P.
           1/07/94 to 3/10/94 ..............  3.23 to 3.42      135,110,159
  181,600  Morgan Stanley Group Inc.
             1/27/94 to 3/18/94 ............  3.27 to 3.40      180,701,834
                                                              -------------
                                                                315,811,993
                                                              -------------

CANADIAN GOVERNMENT AND AGENCY (2.2%)
   80,000  Canadian Wheat Board
           3/21/94 to 6/30/94 ..............  3.25 to 3.35       79,225,092
                                                              -------------

DRUGS (0.5%)
   20,000  Lilly, (Eli) & Co. 2/08/94 ......      3.19           19,933,500
                                                              -------------

EQUIPMENT (2.9%)
  105,000  John Deere Capital Corp.
             1/21/94 to 2/14/94  ...........  3.24 to 3.35      104,696,042
                                                              -------------


FINANCE: CORPORATE (2.6%)
   45,500  Ciesco, L.P. 2/07/94 .............     3.26           45,348,017
   50,200  Corporate Asset
             Funding Co., Inc.
             1/10/94 to 1/11/94 .............     3.25           50,158,292
                                                              -------------
                                                                 95,506,309
                                                              -------------
</TABLE>
<PAGE>
<TABLE>
<CAPTION>
                                               Annualized
Principal       Description                      Yield
Amount (in          and                        on Date of
thousands)     Maturity Date                    Purchase         Value
 -------       --------------                --------------     --------
<S>        <C>                               <C>               <C>
FINANCE: DIVERSIFIED (18.0%)
 $ 93,350  American Express Credit Corp.
             3/15/94 to 5/17/94 ............ 3.25 to 3.33%     $ 92,457,837
   18,300  American General Finance Corp.
             1/06/94 .......................      3.21           18,291,867
   30,000  Associates Corp. of
             North America 1/19/94 .........      3.23           29,952,000
   90,000  Avco Financial Services, Inc.
             2/08/94 to 3/04/94 ............  3.24 to 3.36       89,594,033
  178,900  CIT Group Holdings Inc.
             1/27/94 to 4/29/94 ............  3.24 to 3.38      177,724,598
  162,300  General Electric Capital Corp.
             1/31/94 to 6/15/94 ............  3.26 to 3.51      161,094,777
   45,000  Household Finance Corp.
             1/28/94 .......................      3.38           44,886,600
   45,100  ITT Financial Corp.
             1/06/94 to 1/20/94 ............  3.25 to 3.35       45,066,674
                                                               ------------
                                                                659,068,386
                                                               ------------

FOOD AND BEVERAGES (4.6%)
   40,000  Anheuser-Busch Cos., Inc.
             6/30/94 to 6/29/94 ............. 3.26 to 3.38       39,343,792
  130,000  Coca-Cola Co.
             1/07/94 to 2/22/94 ............. 3.21 to 3.36      129,801,556
                                                               ------------
                                                                169,145,348
                                                               ------------
HEALTH CARE: DIVERSIFIED (0.9%)
   31,000  Schering-Plough Corporation
             1/20/94 ........................     3.23           30,947,644
                                                               ------------

INDUSTRIAL (0.8%)
 $ 30,000  Intel Corp. 3/25/94 ..............    3.25%         $ 29,777,283
                                                               ------------

RETAIL (1.0%)
   35,000  Penney (J.C.) Funding Corp.
             2/01/94 ........................     3.26           34,902,049
                                                               ------------

TELEPHONE (1.9%)
   43,900  American Telephone &
             Telegraph Co. 1/21/94 ..........     3.21           43,822,443
   24,000  NYNEX Corp. 1/14/94 ..............     3.40           23,970,707
                                                               ------------
                                                                 67,793,150
                                                               ------------

TOTAL COMMERCIAL PAPER
   (Amortized Cost $2,961,144,421) ..........                 2,961,144,421
                                                             --------------

U.S. GOVERNMENT AGENCIES (10.2%)
   34,000  Federal Farm Credit Bank
             4/05/94 to 11/15/94 ...........  3.40 to 3.63       33,505,027
   40,000  Federal Home Loan Banks
             7/21/94 to 12/08/94 ...........  3.35 to 3.65       38,906,350
  306,400  Federal National Mortgage
             Association 2/02/94
             to 10/19/94 ...................  3.27 to 3.55      300,451,020
                                                             --------------
TOTAL U.S. GOVERNMENT AGENCIES
   (Amortized Cost $372,862,397) ..........                     372,862,397
                                                             --------------

U.S. GOVERNMENT OBLIGATION (1.4%)
   53,000  U.S. Treasury Bills
             (Amortized Cost $51,841,764)
             7/28/94 to 11/17/94 ..........   3.34 to 3.61       51,841,764
                                                             --------------

TOTAL INVESTMENTS (Amortized Cost
  $3,657,604,889)(a) ......................      100.0%       3,657,604,889
CASH AND OTHER ASSETS IN EXCESS OF
  LIABILITIES NET ASSETS  .................        0.0              551,221
                                                 ------      --------------
NET ASSETS ................................      100.0%      $3,658,156,110
                                                 ======      ==============
<FN>
- ----------------
(a) Cost is the same for federal income tax purposes.

                        See Notes to Financial Statements
</TABLE>
<PAGE>
<TABLE>
ACTIVE ASSETS MONEY TRUST
FINANCIAL STATEMENTS
- --------------------------------------------------------------------------------
<CAPTION>
STATEMENT OF ASSETS AND LIABILITIES
December 31, 1993 (unaudited)
- --------------------------------------------------------------------------------
<S>                                                             <C>
ASSETS:
Investments in securities, at value (amortized cost
  $3,657,604,889) (Note  1) .................................   $3,657,604,889
Cash ........................................................           35,704
Interest receivable .........................................        2,021,899
Prepaid expenses ............................................          375,750
                                                                --------------
     Total Assets ...........................................    3,660,038,242
                                                                --------------

LIABILITIES:
Payable for: ................................................
   Shares of beneficial interest repurchased ................           60,891
   Investment management fee (Note 2)........................        1,076,198
   Plan of distribution fee (Note 3) ........................          320,068
Accrued expenses (Note 4) ...................................          424,975
                                                                --------------
     Total Liabilities ......................................        1,882,132
                                                                --------------

NET ASSETS:
Paid in capital .............................................    3,658,154,989
Accumulated undistributed net investment income .............            1,121
                                                               ---------------
     Net Assets .............................................   $3,658,156,110
                                                               ---------------

Net Asset Value Per Share, 3,658,154,989
   shares outstanding (unlimited shares
   authorized of $.01 par value) .....................................   $1.00
                                                                         =====
</TABLE>
<TABLE>
- --------------------------------------------------------------------------------
<CAPTION>
STATEMENT OF OPERATIONS
For the six months ended December 31, 1993 (unaudited)
- --------------------------------------------------------------------------------
<S>                                                               <C>
INVESTMENT INCOME:
Interest income ................................................  $ 62,283,701
                                                                  ------------

Expenses
   Investment management fee (Note 2) ..........................     6,388,130
   Plan of distribution fee (Note 3) ...........................     1,899,910
   Transfer agent fees and expenses (Note  4)  .................     1,067,538
   Shareholder reports and notices .............................       246,521
   Registration fees ...........................................       113,457
   Custodian fees  .............................................        83,470
   Professional fees ...........................................        31,266
   Trustees' fees and expenses (Note 4) ........................        17,204
   Other .......................................................        18,160
                                                                  ------------
       Total Expenses ..........................................     9,865,656
                                                                  ------------
        Net Investment Income ..................................    52,418,045

NET REALIZED GAIN ON INVESTMENTS (Note 1) ......................        55,308
                                                                  ------------
      Net Increase in Net Assets
        Resulting from Operations ..............................  $ 52,473,353
                                                                  ============
</TABLE>
<TABLE>
STATEMENT OF CHANGES IN NET ASSETS
- --------------------------------------------------------------------------------
<CAPTION>
                                               For the six
                                               months ended        For the
                                            December 31, 1993     year ended
                                               (unaudited)      June 30, 1993
                                            ------------------  --------------
<S>                                                 <C>                <C>
INCREASE (DECREASE) IN NET ASSETS:
   Operations:
     Net investment income ..................  $    52,418,045  $  108,430,954
     Net realized gain on investments .......           55,308           --0--
                                               ---------------  --------------
        Net increase in net assets resulting
          from operations ...................       52,473,353     108,430,954
   Dividends and distributions to
     shareholders from:
       Net investment income ................     (52,418,802)   (108,432,950)
       Net realized gain on investments .....         (55,308)           --0--
                                                 -------------   -------------
                                                  (52,474,110)   (108,432,950)
                                                 -------------   -------------
   Net increase (decrease) from transactions in
     shares of beneficial interest (Note 5) ...     53,849,651    (23,997,368)
                                                 -------------   -------------
      Total increase (decrease) ...............     53,848,894    (23,999,364)

NET ASSETS:
   Beginning of period ........................  3,604,307,216   3,628,306,580
                                                 -------------   -------------
   End of period (including undistributed net
     investment income of $1,121 and
      $1,878, respectively) ................... $3,658,156,110  $3,604,307,216
                                                ==============  ==============

                        See Notes to Financial Statements
</TABLE>
<PAGE>

ACTIVE ASSETS MONEY TRUST
NOTES TO FINANCIAL STATEMENTS (unaudited)
- --------------------------------------------------------------------------------
1. ORGANIZATION AND ACCOUNTING POLICIES--Active Assets Money Trust (the "Trust")
was  organized  as  a  Massachusetts business trust on March  30,  1981  and  is
registered under the Investment Company Act of 1940, as amended (the "Act"),  as
a  diversified,  open-end  management investment company.  The  Trust  commenced
operations on July 7, 1981.

The following is a summary of significant accounting policies:

     A.  Valuation of Investments--Portfolio securities are valued at  amortized
     cost, which approximates market value.
     
     B.  Accounting for Investments--Security transactions are accounted for  on
     the  trade  date (date the order to buy or sell is executed). In  computing
     net  investment income, the Trust amortizes any premiums and  discounts  on
     securities  owned. Realized gains and losses on security  transactions  are
     determined on the identified cost method.
     
     C.  Federal Income Tax Status--It is the Trust's policy to comply with  the
     requirements   of  the  Internal  Revenue  Code  applicable  to   regulated
     investment  companies and to distribute all of its taxable  income  to  its
     shareholders. Accordingly, no federal income tax provision is required.
     
     D. Dividends and Distributions to Shareholders--Dividends and distributions
     to  shareholders are recorded by the Trust as of the close of  the  Trust's
     business day.
     
     E.  Repurchase Agreements--The Trust's custodian takes possession on behalf
     of  the  Trust  of  the  collateral pledged for investments  in  repurchase
     agreements.  It  is  the  policy  of the  Trust  to  value  the  underlying
     collateral  daily on a mark-to-market basis to determine  that  the  value,
     including  accrued interest, is at least equal to the repurchase price.  In
     the  event  of  default of the obligator to repurchase, the Trust  has  the
     right to liquidate the collateral and apply the proceeds in satisfaction of
     the obligation.

2.   INVESTMENT MANAGEMENT AGREEMENT--Pursuant  to  an  Investment  Management
Agreement  (the "Agreement") with Dean Witter InterCapital Inc. (the "Investment
Manager"),  the  Trust pays its Investment Manager a management fee,  calculated
daily  and  payable monthly, by applying the following annual rates to  the  net
assets  of  the  Trust determined as of the close of the Trust's  business  day:
0.50%  of the portion of the daily net assets not exceeding $500 million; 0.425%
of  the portion of the daily net assets exceeding $500 million but not exceeding
$750  million;  0.375%  of the portion of the daily net  assets  exceeding  $750
million  but  not exceeding $1 billion; 0.35% of the portion of  the  daily  net
assets  exceeding  $1  billion but not exceeding $1.5  billion;  0.325%  of  the
portion  of  the  daily net assets exceeding $1.5 billion but not  exceeding  $2
billion;  0.30% of the portion of the daily net assets exceeding $2 billion  but
not  exceeding  $2.5  billion; 0.275% of the portion of  the  daily  net  assets
exceeding $2.5 billion but not exceeding $3 billion; and 0.25% of the portion of
the daily net assets exceeding $3 billion. Under the terms of the Agreement,  in
addition  to managing the Trust's investments, the Investment Manager  maintains
certain  of  the  Trust's  books  and records and  furnishes  office  space  and
facilities,  equipment, clerical, bookkeeping and certain  legal  services,  and
pays  the  salaries of all personnel, including officers of the  Trust  who  are
employees of the Investment Manager. The Investment Manager also bears the  cost
of  telephone services, heat, light, power and other utilities provided  to  the
Trust.

3.  PLAN OF DISTRIBUTION--Shares  of beneficial  interest  of  the  Trust  are
distributed  by Dean Witter Distributors Inc. (the "Distributor"), an  affiliate
of  the  Investment Manager. The Trust has entered into a Plan  of  Distribution
(the "Plan"), pursuant to Rule 12b-1 under the Act, with the Distributor whereby
the  Distributor finances certain activities in connection with the distribution
of the Trust's shares.

<PAGE>
ACTIVE ASSETS MONEY TRUST
NOTES TO FINANCIAL STATEMENTS (unaudited) (continued)
- --------------------------------------------------------------------------------
      Under  the Plan, the Distributor bears the expense of all promotional  and
distribution related activities on behalf of the Trust, except for expenses that
the   Trustees  determine  to  reimburse,  as  described  below.  The  following
activities and services may be provided by the Distributor under the  Plan:  (1)
compensation  to  sales  representatives of the Distributor  and  other  broker-
dealers;  (2)  sales  incentives and bonuses to  sales  representatives  and  to
marketing  personnel in connection with promoting sales of shares; (3)  expenses
incurred  in  connection  with  promoting sales of  shares;  (4)  preparing  and
distributing  sales  literature; and (5) providing advertising  and  promotional
activities, including direct mail solicitation and television, radio, newspaper,
magazine and other media advertisements.

      The  Trust  is  authorized  to  reimburse specific  expenses  incurred  in
promoting  the  distribution of the Trust's shares. The amount of  each  monthly
reimbursement payment may in no event exceed an amount equal to a payment at the
average  rate  of .15 of 1% of the Trust's average daily net assets  during  the
month.  For  the  six  months  ended December 31,  1993,  the  distribution  fee
established by the Trustees and accrued was at the average annual rate of .10 of
1%.

4. SECURITY TRANSACTIONS AND TRANSACTIONS WITH AFFILIATES--The cost of purchases
and  the  proceeds  from sales/maturities of portfolio securities  for  the  six
months  ended  December 31, 1993, aggregated $6,938,682,047 and  $6,944,084,033,
respectively.

      On April 1, 1991 the Trust established an unfunded noncontributory defined
benefit  pension plan covering all independent Trustees of the  Trust  who  will
have  served  as an independent Trustee for at least five years at the  time  of
retirement.  Benefits  under  this  Plan are  based  on  years  of  service  and
compensation during the last five years of service. Aggregate pension  cost  for
the  six  months ended December 31, 1993 included in Trustees' fees and expenses
in  the  Statement of Operation, amounted to $5,201. At December 31,  1993,  the
Trust  had an accrued pension liability of $38,384 which is included in  accrued
expenses in the Statement of Assets and Liabilities.

      Dean Witter Trust Company ("DWTC"), an affiliate of the Investment Manager
and  the Distributor, is the Trust's transfer agent. During the six months ended
December  31,  1993,  the Trust incurred transfer agent  fees  and  expenses  of
$1,067,538 with DWTC, of which $174,652 was payable at December 31, 1993.

5. SHARES OF BENEFICIAL INTEREST--Transactions in shares of beneficial interest,
at $1.00 per share, were as follows:
<TABLE>
<CAPTION>
                                            For the six months    For the year
                                                  ended              ended
                                            December 31, 1993    June 30, 1993
                                            -----------------    --------------
<S>                                          <C>               <C>
Shares sold ................................   8,884,896,648    15,714,334,105
Shares issued in reinvestment of dividends..      52,374,345       108,252,232
                                             ---------------   ---------------
                                               8,937,270,993    15,822,586,337
Shares repurchased ......................... (8,883,421,342)  (15,846,583,705)
                                              --------------   ---------------
Net increase (decrease) in shares outstanding     53,849,651      (23,997,368)
                                               =============   ===============
</TABLE>
<PAGE>
<TABLE>
ACTIVE ASSETS MONEY TRUST
FINANCIAL HIGHLIGHTS (unaudited)
- --------------------------------------------------------------------------------
Selected  data  and  ratios  for  a  share of  beneficial  interest  outstanding
throughout each period:
<CAPTION>

                       For the six          For the year ended June 30,
                       months ended         ---------------------------
                    December 31, 1993    1993     1992     1991    1990    1989
                    -----------------    ----     ----     ----    ----    ----
<S>                          <C>      <C>       <C>      <C>     <C>    <C>
PER SHARE OPERATING
  PERFORMANCE:
  Net asset value, beginning
    of period .............. $ 1.00   $ 1.00    $ 1.00   $ 1.00  $ 1.00  $ 1.00
                             ------   ------    ------   ------  ------  ------
  Net investment income ....   .014     .029      .045     .068    .081    .083

Less dividends and
  distributions from
  net investment income ...  (.014)   (.029)    (.045)   (.068)  (.081)  (.083)
                             ------   ------    ------   ------  ------  ------
  Net asset value, end of
    period ................  $ 1.00   $ 1.00    $ 1.00   $ 1.00  $ 1.00  $ 1.00
                             ======   ======    ======   ======  ======  ======

TOTAL INVESTMENT RETURN..... 1.41%(1)   2.95%    4.58%    7.05%   8.43%   8.57%
RATIOS/SUPPLEMENTAL DATA:
  Net asset, end of period
   (in millions) ........... $3,658   $3,604    $3,628   $3,688  $3,454  $3,021
  Ratio of expenses to
    average net assets ..... 0.52%(2)   0.51%    0.54%    0.52%   0.50%   0.52%
  Ratio of net investment
    income to average
    net assets ............  2.76%(2)   2.90%    4.45%    6.80%   8.10%   8.33%

<FN>
- -----------
(1) Not annualized.
(2) Annualized.

                        See Notes to Financial Statements
</TABLE>
<PAGE>


TRUSTEES
- -----------------------------------------------
Jack F. Bennett
Charles A. Fiumefreddo
Edwin J. Garn
John R. Haire
Dr. John E. Jeuck
Dr. Manuel H. Johnson
Paul Kolton
Michael E. Nugent
Albert T. Sommers
Edward R. Telling

OFFICERS
- -----------------------------------------------
Charles A. Fiumefreddo
Chairman and Chief Executive Officer

Sheldon Curtis
Vice President, Secretary and General Counsel

Jonathan R. Page
Vice President

Thomas F. Caloia
Treasurer

TRANSFER AGENT
- -----------------------------------------------
Dean Witter Trust Company
Harborside Financial Center--Plaza Two
Jersey City, New Jersey 07311

LEGAL COUNSEL
- -----------------------------------------------
Sheldon Curtis
Two World Trade Center
New York, New York 10048

INDEPENDENT ACCOUNTANTS
- -----------------------------------------------
Price Waterhouse
1177 Avenue of the Americas
New York, New York 10036

INVESTMENT MANAGER
- -----------------------------------------------
Dean Witter InterCapital Inc.
Two World Trade Center
New York, New York 10048

The financial statements included herein have been taken from the
records of the Trust without examination by the independent accountants
and accordingly they do not express an opinion hereon.

This report is submitted for the general information of shareholders of
the Trust. For more detailed information about the Trust, its officers and
trustees, fees, expenses and other pertinent information, please see
the prospectus of the Trust.

This report is not authorized for distribution to prospective investors
in the Trust unless preceded or accompanied by an effective prospectus.

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          ACTIVE ASSETS
          MONEY TRUST




          Semiannual Report
          December 31, 1994

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