DEAN WITTER U S GOVERNMENT MONEY MARKET TRUST
N-30D, 1997-09-18
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<PAGE>

DEAN WITTER U.S. GOVERNMENT MONEY MARKET TRUST     Two World Trade Center, 
New York, New York 10048 
LETTER TO THE SHAREHOLDERS July 31, 1997 

DEAR SHAREHOLDER: 

During the six-month period ended July 31, 1997, money market rates remained 
stable, even following the 25-basis-point rate increase effected by the 
Federal Reserve Board on March 25, 1997. We expect that this stability will 
continue for the last half of the Trust's fiscal year. While the economy is 
currently strong, based on indicators such as nonfarm payroll and retail 
sales, the Federal Reserve Board seems content to sit on the sidelines since 
there is no clear evidence of inflation at this time. However, the Fed can be 
expected to take corrective action if they see inflation becoming an issue. 

PORTFOLIO 

As of July 31, 1997, Dean Witter U.S. Government Money Market Trust had 
assets in excess of $885 million, with an average life of 74 days. The 
Trust's annualized net yield for the six-month fiscal period ended July 31, 
1997, was 4.36 percent, and its annualized yield for July was 4.50 percent. 

On July 31, 1997, approximately 99 percent of the Trust's portfolio consisted 
of federal agency obligations, with the remaining 1 percent invested in U.S. 
Treasury bills. At the end of this fiscal period, more than 82 percent of the 
Trust's assets were due to mature in less than four months, positioning the 
portfolio for stability of value with a high degree of liquidity. We continue 
to operate the Trust in a straightforward, conservative style without 
"structured notes" or derivatives, which could fluctuate excessively with 
changing interest rates. 

LOOKING AHEAD 

At this time we anticipate a moderate pace for economic activity in the 
second half of 1997, with no major adverse surprises in the rate of 
inflation. We believe that investment yields available to the Trust during 
the next six months will not differ significantly from those in the first 
half of 1997. 

<PAGE>
DEAN WITTER U.S. GOVERNMENT MONEY MARKET TRUST 
LETTER TO THE SHAREHOLDERS July 31, 1997, continued 

We appreciate your ongoing support of Dean Witter U.S. Government Money 
Market Trust and look forward to continuing to serve your investment needs 
and objectives. 

Very truly yours, 

/s/ Charles A. Fiumefreddo 
CHARLES A. FIUMEFREDDO 
Chairman of the Board 

<PAGE>
DEAN WITTER U.S. GOVERNMENT MONEY MARKET TRUST 
RESULTS OF SPECIAL MEETING (unaudited) 

                     * * * 

On May 21, 1997, a special meeting of shareholders of Dean Witter U.S. 
Government Money Market Trust was held for the purpose of voting on four 
separate matters, the results of which are as follows: 

(1) APPROVAL OF A NEW INVESTMENT MANAGEMENT AGREEMENT BETWEEN THE TRUST AND 
    DEAN WITTER INTERCAPITAL INC., IN CONNECTION WITH THE MERGER OF MORGAN 
    STANLEY GROUP INC. WITH DEAN WITTER, DISCOVER & CO.: 

<TABLE>
<CAPTION>
<S>           <C>
 For ....... 459,935,236 
Against  ..   13,475,960 
Abstain  ..   39,905,651 
</TABLE>

(2) ELECTION OF TRUSTEES: 

<TABLE>
<CAPTION>
<S>               <C>          <C>               <C>          <C>                 <C>
 Michael Bozic                 John R. Haire                  Michael E. Nugent 
For ............  485,365,863  For ............  485,062,572  For ..............  485,834,746 
Withheld .......   27,950,984  Withheld .......   28,254,275  Withheld .........   27,482,101 
Charles A. Fiumefreddo         Wayne E. Hedien                Philip J. Purcell 
For ............  485,307,412  For ............  485,703,822  For ..............  485,689,228 
Withheld .......   28,009,435  Withheld .......   27,613,025  Withheld .........   27,627,619 
Edwin J. Garn                  Dr. Manuel H. Johnson          John L. Schroeder 
For ............  485,489,880  For ............  485,749,264  For ..............  485,466,124 
Withheld .......   27,826,967  Withheld .......   27,567,583  Withheld .........   27,850,723 
</TABLE>

(3) APPROVAL OF A NEW INVESTMENT POLICY WITH RESPECT TO INVESTMENTS IN 
    CERTAIN OTHER INVESTMENT COMPANIES: 

<TABLE>
<CAPTION>
<S>          <C>
 For ....... 360,732,223 
Against  ..  105,351,921 
Abstain  ..   47,232,703 
</TABLE>

(4) RATIFICATION OF THE SELECTION OF PRICE WATERHOUSE LLP AS THE TRUST'S 
    INDEPENDENT ACCOUNTANTS: 

<TABLE>
<CAPTION>
<S>           <C>
 For ....... 473,150,952 
Against  ..    7,124,625 
Abstain  ..   33,041,270 
</TABLE>

<PAGE>
DEAN WITTER U.S. GOVERNMENT MONEY MARKET TRUST 
PORTFOLIO OF INVESTMENTS July 31, 1997 (unaudited) 

<TABLE>
<CAPTION>
                                                                               ANNUALIZED 
 PRINCIPAL                             DESCRIPTION                                YIELD 
 AMOUNT IN                                 AND                                 ON DATE OF 
 THOUSANDS                            MATURITY DATE                             PURCHASE          VALUE 
- -----------  ---------------------------------------------------------------- ------------  -------------- 
<S>          <C>                                                              <C>           <C>
             U.S. GOVERNMENTAGENCIES (99.2%) 
             Federal Farm Credit Bank 
$134,430      08/01/97-12/02/97 .............................................. 5.32-5.78 %   $132,975,580 
             Federal Home Loan Banks 
 365,050      08/07/97-03/12/98 .............................................. 5.29-5.78      360,165,435 
             Federal Home Loan Mortgage Corp. 
  93,000      08/01/97-01/02/98 .............................................. 5.48-5.75       92,383,593 
             Federal National Mortgage Assoc. 
 240,480      08/04/97-01/16/98 .............................................. 5.49-5.81      238,154,343 
             Student Loan Marketing Assoc. 
  40,000      09/22/97-09/30/97 ..............................................      5.51       39,665,904 
             Tennessee Valley Authority 
  15,000      09/11/97 .......................................................      5.51       14,907,067 
                                                                                            -------------- 
             TOTAL U.S. GOVERNMENT AGENCIES 
             (Amortized Cost $878,251,922).................................................   878,251,922 
                                                                                            -------------- 
             U.S. GOVERNMENT OBLIGATION (1.1%) 
             U.S. Treasury Bill 11/13/97 
  10,000      (Amortized Cost $9,851,944) ....................................      5.33        9,851,944 
                                                                                            -------------- 
             REPURCHASE AGREEMENT (0.4%) 
   3,707     The Bank of New York due 08/01/97 (dated 07/31/97; proceeds $3,707,682; 
              collateralized by $790,475 
              Federal Home Loan Banks 0.00% due 08/22/97 valued at $787,788; 
              $1,399,173 
              Federal Home Loan Banks 5.68% due 09/11/98 valued at $1,428,362 and 
              $1,500,000 Federal National Mortgage Association 7.15% due 10/11/06 
              valued at $1,565,081 (Identified Cost $3,707,090) ..............      5.75          3,707,090 
                                                                                             -------------- 
             TOTAL INVESTMENTS 
             (Identified Cost $891,810,956)(a) ...............................     100.7 %      891,810,956 
             LIABILITIES IN EXCESS OF CASH AND OTHER ASSETS ..................     (0.7)         (5,934,205) 
                                                                               ------------  -------------- 
             NET ASSETS  .....................................................     100.0 %     $885,876,751 
                                                                               ============  ============== 
</TABLE>

- ------------ 
(a)     Cost is the same for federal income tax purposes. 

                      SEE NOTES TO FINANCIAL STATEMENTS 

<PAGE>
DEAN WITTER U.S. GOVERNMENT MONEY MARKET TRUST 
FINANCIAL STATEMENTS 

STATEMENT OF ASSETS AND LIABILITIES 
July 31, 1997 (unaudited) 

<TABLE>
<CAPTION>
<S>                                                                     <C>
 ASSETS: 
Investments in securities, at value 
 (identified cost $891,810,956) .......................................    $891,810,956 
Cash ..................................................................          90,001 
Receivable for shares of beneficial interest sold .....................         282,785 
Prepaid expenses and other assets .....................................         166,964 
                                                                         -------------- 
  TOTAL ASSETS ........................................................     892,350,706 
                                                                         -------------- 
LIABILITIES: 
Payable for: 
  Shares of beneficial interest repurchased ...........................       5,956,730 
  Investment management fee ...........................................         346,854 
  Plan of distribution fee ............................................          75,508 
Accrued expenses and other payables ...................................          94,863 
                                                                         -------------- 
  TOTAL LIABILITIES ...................................................       6,473,955 
                                                                         -------------- 
  NET ASSETS ..........................................................    $885,876,751 
                                                                         ============== 
COMPOSITION OF NET ASSETS: 
Paid-in-capital .......................................................    $885,894,332 
Dividends in excess of net investment income ..........................         (19,530) 
Accumulated undistributed net realized gain ...........................           1,949 
                                                                         -------------- 
  NET ASSETS ..........................................................    $885,876,751 
                                                                         ============== 
NET ASSET VALUE PER SHARE, 
 885,894,332 shares outstanding (unlimited shares authorized of $.01 
 par value) ...........................................................    $       1.00 
                                                                         ============== 

</TABLE>

                      SEE NOTES TO FINANCIAL STATEMENTS 

<PAGE>
DEAN WITTER U.S. GOVERNMENT MONEY MARKET TRUST 
FINANCIAL STATEMENTS, continued 

STATEMENT OF OPERATIONS 
For the six months ended July 31, 1997 (unaudited) 

<TABLE>
<CAPTION>
<S>                                <C>
NET INVESTMENT INCOME: 
INTEREST INCOME ..................  $24,730,634 
                                   ------------- 
EXPENSES 
Transfer agent fees and expenses      2,467,951 
Investment management fee ........    2,058,634 
Plan of distribution fee .........      415,545 
Shareholder reports and notices  .       75,852 
Registration fees ................       43,010 
Professional fees ................       23,916 
Custodian fees ...................       22,771 
Trustees' fees and expenses  .....        8,959 
Other ............................        8,078 
                                   ------------- 
  TOTAL EXPENSES .................    5,124,716 
                                   ------------- 
  NET INVESTMENT INCOME ..........   19,605,918 
  NET REALIZED GAIN ..............        1,949 
                                   ------------- 
NET INCREASE .....................  $19,607,867 
                                   ============= 
</TABLE>

                      SEE NOTES TO FINANCIAL STATEMENTS 

<PAGE>
DEAN WITTER U.S. GOVERNMENT MONEY MARKET TRUST 
FINANCIAL STATEMENTS, continued 

STATEMENT OF CHANGES IN NET ASSETS 

<TABLE>
<CAPTION>
                                                          FOR THE SIX      FOR THE YEAR 
                                                          MONTHS ENDED        ENDED 
                                                         JULY 31, 1997   JANUARY 31, 1997 
- ------------------------------------------------------  --------------- ---------------- 
<S>                                                     <C>             <C>
                                                          (unaudited) 
INCREASE (DECREASE) IN NET ASSETS: 
OPERATIONS: 
Net investment income .................................   $ 19,605,918     $ 39,392,462 
Net realized gain .....................................          1,949          -- 
                                                        --------------- ---------------- 
  NET INCREASE ........................................     19,607,867       39,392,462 
Dividends from net investment income ..................    (19,627,394)     (39,391,745) 
Net increase (decrease) from transactions in shares of 
 beneficial interest ..................................    (41,188,343)      24,364,860 
                                                        --------------- ---------------- 
  NET INCREASE (DECREASE) .............................    (41,207,870)      24,365,577 
NET ASSETS: 
Beginning of period ...................................    927,084,621      902,719,044 
                                                        --------------- ---------------- 
  END OF PERIOD 
  (Including dividends in excess of net investment 
  income of $19,530 and undistributed net investment 
  income of $1,946, respectively) .....................   $885,876,751     $927,084,621 
                                                        =============== ================ 
</TABLE>

                      SEE NOTES TO FINANCIAL STATEMENTS 

<PAGE>
DEAN WITTER U.S. GOVERNMENT MONEY MARKET TRUST 
NOTES TO FINANCIAL STATEMENTS July 31, 1997 (unaudited) 

1. ORGANIZATION AND ACCOUNTING POLICIES 

Dean Witter U.S. Government Money Market Trust (the "Trust") is registered 
under the Investment Company Act of 1940, as amended (the "Act"), as a 
diversified, open-end management investment company. The Trust's investment 
objectives are security of principal, high current income and liquidity. The 
Trust was organized as a Massachusetts business trust on November 18, 1981 
and commenced operations on February 17, 1982. 

The preparation of financial statements in accordance with generally accepted 
accounting principles requires management to make estimates and assumptions 
that affect the reported amounts and disclosures. Actual results could differ 
from those estimates. 

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). Realized gains 
and losses on security transactions are determined by the identified cost 
method. Premiums are amortized and discounts are accreted over the life of 
the respective securities. 

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 -- The Trust records dividends 
and distributions as of the close of each business day. 

2. INVESTMENT MANAGEMENT AGREEMENT 

Pursuant to an Investment Management Agreement with Dean Witter InterCapital 
Inc. (the "Investment Manager"), the Trust pays the Investment Manager a 
management fee, accrued daily and payable monthly, by applying the following 
annual rates to the net assets of the Trust determined as of the close of 
each business day: 0.50% to the portion of the daily net assets not exceeding 
$500 million; 0.425% to the portion of the daily net assets exceeding $500 
million but not exceeding $750 million; 0.375% to the portion of the daily 
net assets exceeding $750 million but not exceeding $1 billion; 0.35% to the 
portion of the daily net assets exceeding $1 billion but not exceeding $1.5 
billion; 0.325% to the portion of the daily 

<PAGE>
DEAN WITTER U.S. GOVERNMENT MONEY MARKET TRUST 
NOTES TO FINANCIAL STATEMENTS July 31, 1997 (unaudited) continued 

net assets exceeding $1.5 billion but not exceeding $2 billion; 0.30% to the 
portion of the daily net assets exceeding $2 billion but not exceeding $2.5 
billion; 0.275% to the portion of the daily net assets exceeding $2.5 billion 
but not exceeding $3 billion; and 0.25% to the portion of the daily net 
assets exceeding $3 billion. 

Under the terms of the Agreement, the Investment Manager maintains certain of 
the Trust's books and records and furnishes, at its own expense, office 
space, 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 

Dean Witter Distributors Inc. (the "Distributor"), an affiliate of the 
Investment Manager, is the distributor of the Trust's shares and, in 
accordance with a Plan of Distribution (the "Plan") pursuant to Rule 12b-1 
under the Act, finances certain expenses in connection therewith. 

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, Dean Witter 
Reynolds Inc. ("DWR"), an affiliate of the Investment Manager and 
Distributor, its affiliates and other selected broker-dealers under the Plan: 
(1) compensation to, and expenses of, account executives of DWR's and other 
selected broker-dealers' account executives and other employees, including 
overhead and telephone expenses; (2) sales incentives and bonuses to sales 
representatives and to marketing personnel in connection with promoting sales 
of the Trust's shares; (3) expenses incurred in connection with promoting 
sales of the Trust's 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 the Distributor for specific expenses 
the Distributor incurs or plans to incur 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 annual rate of 0.15% of the 
Trust's average daily net assets during the month. Expenses incurred by the 
Distributor pursuant to the Plan in any fiscal year will not be reimbursed by 
the Trust through payments accrued in any subsequent fiscal year. For the six 
months ended July 31, 1997, the distribution fee was accrued at the annual 
rate of 0.10%. 

<PAGE>
DEAN WITTER U.S. GOVERNMENT MONEY MARKET TRUST 
NOTES TO FINANCIAL STATEMENTS July 31, 1997 (unaudited) continued 

4. SECURITY TRANSACTIONS AND TRANSACTIONS WITH AFFILIATES 

The cost of purchases and proceeds from sales/maturities of portfolio 
securities for the six months ended July 31, 1997 aggregated $6,384,940,916 
and $6,449,537,287, respectively. 

Dean Witter Trust Company, an affiliate of the Investment Manager and 
Distributor, is the Trust's transfer agent. At July 31, 1997, the Trust had 
transfer agent fees and expenses payable of approximately $16,000. 

The Trust has an unfunded noncontributory defined benefit pension plan 
covering all independent Trustees of the Trust who will have served as 
independent Trustees 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 costs for the six 
months ended July 31, 1997 included in Trustees' fees and expenses in the 
Statement of Operations amounted to $1,350. At July 31, 1997, the Trust had 
an accrued pension liability of $47,676 which is included in accrued expenses 
in the Statement of Assets and Liabilities. 

5. SHARES OF BENEFICIAL INTEREST 

Transactions in shares of beneficial interest, at $1.00 per share, were as 
follows: 

<TABLE>
<CAPTION>
                                               FOR THE SIX      FOR THE YEAR 
                                               MONTHS ENDED        ENDED 
                                              JULY 31, 1997   JANUARY 31, 1997 
                                             --------------- ---------------- 
<S>                                          <C>             <C>
                                                  (unaudited) 
Shares sold ................................     970,443,063    1,937,077,890 
Shares issued in reinvestment of dividends        19,552,014       39,246,217 
                                             --------------- ---------------- 
                                                 989,995,077    1,976,324,107 
Shares repurchased .........................  (1,031,183,420)  (1,951,959,247) 
                                             --------------- ---------------- 
Net increase (decrease) ....................     (41,188,343)      24,364,860 
                                             =============== ================ 
</TABLE>

<PAGE>
DEAN WITTER U.S. GOVERNMENT MONEY MARKET TRUST 
FINANCIAL HIGHLIGHTS 

Selected ratios and per share data for a share of beneficial interest 
outstanding throughout each period. 

<TABLE>
<CAPTION>
                                             FOR THE SIX              FOR THE YEAR ENDED JANUARY 31, 
                                             MONTHS ENDED  ---------------------------------------------------- 
                                            JULY 31, 1997     1997       1996      1995       1994      1993 
- -----------------------------------------  --------------- ---------  --------- ---------  ---------  --------- 
<S>                                        <C>             <C>        <C>       <C>        <C>       <C>
                                              (unaudited) 
PER SHARE OPERATING PERFORMANCE: 
Net asset value, beginning period ........   $      1.00     $  1.00   $  1.00    $  1.00   $  1.00    $  1.00 
                                           --------------- ---------  --------- ---------  --------- --------- 
Net investment income.....................         0.020       0.043     0.049      0.034     0.023      0.029 
Less dividends from net investment 
 income...................................        (0.020)     (0.043)   (0.049)    (0.034)   (0.023)    (0.029) 
                                           --------------- ---------  --------- ---------  --------- --------- 
Net asset value, end of period............   $      1.00     $  1.00   $  1.00    $  1.00   $  1.00    $  1.00 
                                           =============== =========  ========= =========  ========= ========= 
TOTAL INVESTMENT RETURN+..................          2.57%(1)    4.41%     5.00%      3.47%     2.28%      2.89% 
RATIOS TO AVERAGE NET ASSETS: 
Expenses..................................          1.14%(2)    1.11%     1.09%      1.08%     1.00%      0.93% 
Net investment income.....................          4.36%(2)    4.29%     4.86%      3.38%     2.23%      2.87% 
SUPPLEMENTAL DATA: 
Net assets, end of period, in millions ...          $886        $927      $903       $809      $818     $1,027 
<FN>
- ------------ 
+      Calculated based on the net asset value as of the last business day of 
       the period. 
(1)    Not annualized. 
(2)    Annualized. 

                      SEE NOTES TO FINANCIAL STATEMENTS 

<PAGE>


TRUSTEES 
- ---------------------------------------------------------------------------- 
Michael Bozic 
Charles A. Fiumefreddo 
Edwin J. Garn 
John R. Haire 
Wayne E. Hedien 
Dr. Manuel H. Johnson 
Michael E. Nugent 
Philip J. Purcell 
John L. Schroeder 

OFFICERS 
- ----------------------------------------------------------------------------- 
Charles A. Fiumefreddo 
Chairman and Chief Executive Officer 
Barry Fink 
Vice President, Secretary and General Counsel 
Jonathan R. Page 
Vice President 
Thomas F. Caloia 
Treasurer 

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

INDEPENDENT ACCOUNTANTS 
- ----------------------------------------------------------------------------- 
Price Waterhouse LLP 
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 Fund without examination by the independent accountants and accordingly 
they do not express an opinion thereon. 

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

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

DEAN WITTER 
U.S. GOVERNMENT 
MONEY MARKET 
TRUST 

SEMIANNUAL REPORT 
JULY 31, 1997 

</TABLE>









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