STRONG MONEY MARKET FUND INC
N-30D, 1996-12-27
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                     THE STRONG
                                  MONEY MARKET
                                            Fund

                        ANNUAL REPORT o OCTOBER 31, 1996

[PHOTO OF FAMILY]                                 

[PICTURE OF PIE CHART EMPHASIZING MONEY MARKETS]


                        DESIGNED TO SEEK CURRENT INCOME,
                            A STABLE SHARE PRICE, AND
                                DAILY LIQUIDITY.

                                 [STRONG LOGO]
             
                                  STRONG FUNDS
<PAGE>

EIGHT BASIC PRINCIPLES FOR SUCCESSFUL MUTUAL FUND INVESTING

These  common-sense rules are followed by many successful  investors.  They make
sense for beginners,  too. If you have a question on these principles,  or would
like to discuss them with us, please contact us at 1-800-368-3863. We're here 24
hours a day, seven days a week to take your call.

- ---------------------------------------1----------------------------------------
                                  Have a plan.

[PICTURE OF FOLDER LABELED INVESTMENTS]
Even a simple plan can help you take control of your  financial  future.  Review
your plan once a year, or if your circumstances change.

- ---------------------------------------2----------------------------------------
                      Start investing as soon as possible.

[PICTURE OF CLOCK]
Make time a valuable  ally. Let it put the power of compounding to work for you,
while helping to reduce your potential investment risk.

- ---------------------------------------3----------------------------------------
                           Diversify your portfolio.

[PICTURE OF PIE CHART OF ASSET DIVERSIFICATION]
By investing in different  asset  classes - stocks,  bonds,  and cash - you help
protect  against poor  performance  in one type of  investment  while  including
investments most likely to help you achieve your important goals.

- ---------------------------------------4----------------------------------------
                               Invest regularly.

[PICTURE OF MEMO REMINDER TO INVEST]
Investing is a process,  not a one-time event.  By investing  regularly over the
long term, you reduce the impact of short-term market gyrations,  and you attend
to your long-term plan before you're tempted to spend those assets on short-term
needs.

- ---------------------------------------5----------------------------------------
                       Maintain a long-term perspective.

[PICTURE OF GRAPH SLOPING UPWARD]
For  most  individuals,  the best  discipline  is  staying  invested  as  market
conditions change. Reactive,  emotional investment decisions are all too often a
source of regret - and of principal loss.

- ---------------------------------------6----------------------------------------
             Consider stocks to help achieve major long-term goals.

[PICTURE OF PIE CHART OF ASSET DIVERSIFICATION EMPASIZING STOCKS]
Over time,  stocks have  provided the more powerful  returns  needed to help the
value of your investments stay well ahead of inflation.

- ---------------------------------------7----------------------------------------
              Keep a comfortable amount of cash in your portfolio.

[PICTURE OF DOLLAR SIGN]
To meet current needs, including emergencies, use a money market fund or a bank
account - not your long-term investment assets.

- ---------------------------------------8----------------------------------------
                            Know what you're buying.

[PICTURE OF MAGNIFYING GLASS]
Make sure you understand the potential risks and rewards associated with each of
your investments.  Ask questions...request  information...make up your own mind.
And choose a fund company that helps you make informed investment decisions.



<PAGE>


                THE STRONG
                                  MONEY MARKET
                                              Fund

                        ANNUAL REPORT o OCTOBER 31, 1996

                                TABLE OF CONTENTS

INVESTMENT REVIEW
       The Strong Money Market Fund......................................2

FINANCIAL INFORMATION
       Schedule of Investments in Securities.............................4

       Statement of Operations...........................................8

       Statement of Assets and Liabilities...............................8

       Statement of Changes in Net Assets................................9

       Notes to Financial Statements....................................10


FINANCIAL HIGHLIGHTS....................................................11


REPORT OF INDEPENDENT ACCOUNTANTS.......................................12



<PAGE>


The Strong  MONEY MARKET Fund
================================================================================
The Strong Money Market Fund seeks  current  income,  a stable share price,  and
daily liquidity. The Fund invests in corporate, bank, and government instruments
that present minimal credit risk.(1)

The Strong  Money  Market  Fund once again  ranked in the top 3% of all  general
purpose money funds tracked by Lipper,  based on total return,  for the one-year
period ended 10-31-96. The Fund's performance was achieved through a combination
of successful management decisions and a partial waiver of fees and expenses.

               LIPPER RANKINGS(2)
                as of 10-31-96
            (based on total return)

                     RANK AMONG
 TIME PERIOD     MONEY MARKET FUNDS     PERCENTAGE
   1-year           #6 of 289             Top 3%

   5-year           #5 of 173             Top 3%

   10-year          #3 of 103             Top 3%

Since inception     #3 of 99              Top 4%

Rankings and performance are historical and do not represent future performance.
Source of Lipper rankings is Lipper Analytical Services Inc.


SHORT RATES REMAINED IN A NARROW RANGE
For the  12-month  period  ended  October 31, 1996,  short-term  interest  rates
resembled a "kiddie" roller coaster...  experiencing  several ups and downs, but
none of them particularly severe.

Most of these minor shocks were  generated by conflicting  economic data,  which
throughout the 12-month period routinely  indicated a strengthening  economy one
week and a weakening  economy the next. As 1996 began,  the  consensus  economic
view among investors was for slowing growth in the U.S.;  gross domestic product
estimates were revised downward,  and some economists even projected a recession
beginning in the first half of the year.

Driven by signs of lingering  weakness,  the 90-day  Treasury bill yield dropped
from 5.48% to 5.07% in December,  presaging the Federal Reserve Board's decision
to cut its Fed Funds target rate to 5.25% on January 31. Indeed,  the market had
already begun to price additional rate cuts into Treasury  yields,  resulting in
the unusual  situation  of higher  yields on  one-month  issues than on one-year
securities.

However, an unexpectedly strong employment report--indicating that a much larger
than  expected  number  of  jobs  were  created  in   February--shattered   this
pessimistic view of the economy,  and subsequent economic data tended to support
the idea that the  economy  was  strengthening.  As a result,  long-term  yields
staged an abrupt reversal and headed higher.

Short-term  yields also rose, though less  dramatically.  In fact, even at their
highest point in July,  3-month T-Bill yields never returned to the October 1995
level of 5.50%. And by the end of August,  weakening economic  indicators helped
dissipate residual fear of an interest rate hike by the Federal Reserve.


OUR STRATEGY: HEED THE FUNDAMENTALS
While the market's view of the economy often vacillated  during the fiscal year,
our view remained  unchanged.  We never expected a recession to occur this year,
while the market made a complete  turnaround  from fear of recession to an equal
fear of too-rapid growth.

In our view, the underlying  fundamentals  of the U.S. bond market  supported an
expectation for GDP growth of 2.5% or less for the year, which we believed posed
no threat of rising inflation. Throughout the period, our portfolio strategy was
to  target  a  moderately  long  average  maturity.  Generally,  we  did  so  by
maintaining an  approximately  equal  commitment to one-,  two-, and three-month
instruments,  with a modest commitment to higher-yielding six- to 12-month paper
when we believed it represented an attractive opportunity.


2
<PAGE>


The  majority of our good  relative  performance,  particularly  during the last
quarter of the fiscal year,  was generated by issue  selection  decisions.  With
little movement in interest rates, there was scant opportunity to enhance return
through either duration or maturity positioning.

As the fiscal year ended in October,  we maintained an average maturity slightly
longer than a neutral 45 days.


OUTLOOK: CAUTIOUS BUT POSITIVE
At this point in time,  there's no  compelling  evidence to suggest  that yields
will move  dramatically  higher or lower. The fundamental  economic  backdrop is
positive,  with inflation  remaining subdued,  and cyclical pressures  appearing
dormant. Given this environment, it is unlikely that the Federal Reserve will be
prompted to alter short-term rates anytime soon.

While this serene  picture is subject to change in early 1997,  our strategy for
the near term should  remain  unchanged:  maintain an average  maturity  that is
slightly  longer than  neutral,  and closely  monitor the economy for signs of a
sustainable shift in either direction.

As always, we thank you for your confidence and remain committed to serving your
investment needs in the future.

[PHOTO OF JAY N. MUELLER]

Sincerely,

/s/Jay N. Mueller

Jay N. Mueller
Portfolio Manager

================================================================================
                             SHORT-TERM RATES STAYED
                          WITHIN A FAIRLY NARROW RANGE
                   3-month T-bill Yields through October 1996

10-95             5.51%  
11-95             5.49%                         YIELD SUMMARY(3)   
12-95             5.08%                          as of 10-31-96    
1-96              5.05%                                            
2-96              5.03%                        7-DAY CURRENT YIELD 
3-96              5.14%                               5.11%        
4-96              5.15%                       7-DAY EFFECTIVE YIELD
5-96              5.18%                               5.24%        
6-96              5.16%                         AVERAGE MATURITY   
7-96              5.31%                              53 days       
8-96              5.28%                      
9-96              5.03%  
10-96             5.15%                                                         
     Source: Bloomberg                                                          
================================================================================

1    An  investment  in the Fund is neither  insured nor  guaranteed by the U.S.
     government.  There  can be no  assurance  that  the  Fund  will  be able to
     maintain a stable net asset value of $1.00 per share. 

2    The  since-inception  ranking  is based on  performance  from  10-31-85  to
     10-31-96.  From time to time,  the Funds' Advisor has waived its management
     fee and absorbed Fund expenses, resulting in higher returns.

3    Yields  are  annualized  for the  7-day  period  ended  October  31,  1996.
     Effective yield reflects the  compounding of income.  Yields are historical
     and do not  represent  future  yields,  which  will  fluctuate.  The Fund's
     Advisor  temporarily  waived fees of 0.05% and  absorbed  expenses of 0.34%
     during the 7-day period ended 10-31-96. Otherwise, the Fund's current yield
     would have been 4.72%, and its effective yield would have been 4.83%.

                                                                               3
<PAGE>

<TABLE>

SCHEDULE OF INVESTMENTS IN SECURITIES                                                                            October 31, 1996
- ---------------------------------------------------------------------------------------------------------------------------------

<CAPTION>

                                                                                PRINCIPAL    YIELD TO     MATURITY     AMORTIZED
                                                                                 AMOUNT      MATURITY     DATE (a)     COST (b)
SECURITY                                                                     (In Thousands)                         (In Thousands)
- ---------------------------------------------------------------------------------------------------------------------------------
<S>                                                                             <C>             <C>       <C>          <C> 
BANKERS' ACCEPTANCES 0.6%
Fuji Bank, Ltd. Chicago                                                         $12,000         5.56%     12/09/96     $11,930

CERTIFICATES OF DEPOSIT 4.7%
Advanta National Bank:
  6.26%                                                                          20,000         5.32       2/07/97      20,049
  6.29%                                                                          33,000         5.19       2/07/97      33,096
  5.875%                                                                         38,000         5.88       4/04/97      38,000
                                                                                                                        ------
Total Certificates of Deposit                                                                                           91,145

COMMERCIAL PAPER 77.4%
Albion Capital Corporation (Acquired 10/11/96; Cost $18,042) (c)                 18,300         5.40       1/13/97      18,100
American Family Financial Services, Inc.                                             79         5.02     Upon Demand        79
American Honda Finance Corporation                                                1,000         5.45      11/22/96         997
Anchor Funding Corporation (Acquired 9/24/96; Cost $1,923) (c)                    1,950         5.65      12/20/96       1,935
Aristar, Inc.                                                                     4,650         5.41      11/06/96       4,646
                                                                                 18,000         5.45      11/19/96      17,951
Asset Backed Capital Financial:
  (Acquired 9/06/96; Cost $33,331) (c)                                           33,800         5.49      12/06/96      33,620
  (Acquired 10/03/96; Cost $11,833) (c)                                          12,000         5.46       1/08/97      11,876
  (Acquired 10/10/96; Cost $13,610) (c)                                          13,800         5.39       1/10/97      13,656
  (Acquired 10/22/96; Cost $12,231) (c)                                          12,400         5.40       1/21/97      12,249
Atlas Funding Corporation                                                         7,500         5.53      11/29/96       7,468
                                                                                 16,600         5.49      12/24/96      16,466
                                                                                 13,910         5.50      12/30/96      13,785
Banner Receivables Corporation (Acquired 9/25/96; Cost $12,823) (c)              13,000         5.49      12/23/96      12,897
Brazos River Authority, Texas Pollution Control Revenue                          25,800         5.42      11/15/96      25,800
Broadway Capital Corporation (Acquired 8/07/96; Cost $1,973) (c)                  2,000         5.40      11/06/96       1,998
CSC Enterprises                                                                  17,500         5.50      12/05/96      17,409
Calcasieu Parish, Louisiana                                                      21,800         5.38      12/11/96      21,800
Cigna Corporation                                                                 7,800         5.45      11/04/96       7,796
                                                                                 15,300         5.52      11/13/96      15,272
                                                                                  3,160         5.41      11/22/96       3,150
                                                                                 22,500         5.48      12/04/96      22,387
Coca-Cola Enterprises, Inc.                                                      18,000         5.36      11/14/96      17,965
                                                                                 29,700         5.50      12/19/96      29,482
Creative Capital Corporation:
  (Acquired 8/27/96; Cost $593) (c)                                                 600         5.45      11/12/96         599
  (Acquired 8/16/96; Cost $2,269) (c)                                             2,300         5.45      11/14/96       2,295
Diamond Asset Funding Corporation                                                 5,000         5.40       1/21/97       4,939
Dynamic Funding Corporation                                                       6,584         5.56      11/04/96       6,581
                                                                                  7,000         5.52      12/30/96       6,937
                                                                                 10,000         5.45       1/03/97       9,905
Embarcadero Center-Venture Four                                                   7,000         5.37      12/11/96       6,958
Empire District Electric Company                                                  6,000         5.32      11/12/96       5,990
Equitable of Iowa Companies                                                      15,100         5.38      11/27/96      15,041
                                                                                 20,200         5.31      12/02/96      20,108
FP Funding Corporation (Acquired 10/09/96; Cost $19,587) (c)                     20,000         5.50       2/21/97      19,658
Finova Capital Corporation                                                       11,400         5.50      11/13/96      11,379
                                                                                 11,500         5.40      11/18/96      11,471
                                                                                 26,500         5.38      11/20/96      26,425
                                                                                 10,000         5.47       1/02/97       9,906
                                                                                 10,000         5.39       1/10/97       9,895
                                                                                  9,000         5.58       1/14/97       8,897
                                                                                  9,500         5.65       1/21/97       9,379
                                                                                  2,500         5.39       1/24/97       2,468
First Data Corporation                                                            9,000         5.35       1/21/97       8,892
Frontier Corporation                                                             10,900         5.32      11/22/96      10,866
Fundex Corporation                                                               14,375         5.43       1/24/97      14,193
GTE Corporation                                                                  17,320         5.32      12/17/96      17,202
General Motors Acceptance Corporation                                            25,000         5.47       2/18/97      24,586
Gotham Funding Corporation:
  (Acquired 8/20/96; Cost $19,781) (c)                                           20,000         5.41      11/01/96      20,000
  (Acquired 9/30/96; Cost $14,941) (c)                                           15,135         5.48      12/23/96      15,015
  (Acquired 10/24/96 - 10/25/96; Cost $12,158) (c)                               12,327         5.40       1/24/97      12,171
Green Tree Financial Corporation                                                  7,000         5.35      11/25/96       6,975

4
           
                                              See notes to financial statements.

<PAGE>
- ----------------------------------------------------------------------------------------------------------------------------------


                                                                                PRINCIPAL    YIELD TO     MATURITY     AMORTIZED
                                                                                 AMOUNT      MATURITY     DATE (a)     COST (b)
SECURITY                                                                     (In Thousands)                         (In Thousands)
- ----------------------------------------------------------------------------------------------------------------------------------
HSBC Americas, Inc.                                                             $16,900         5.53%     12/13/96     $16,791
                                                                                 22,500         5.50      12/20/96      22,332
                                                                                 17,000         5.39       1/23/97      16,789
Heller Financial, Inc.                                                           30,000         5.55      11/08/96      29,968
                                                                                 10,000         5.45      11/13/96       9,982
                                                                                 26,000         5.55      11/15/96      25,944
                                                                                 16,000         5.45      11/21/96      15,952
Heller International Corporation                                                  4,800         5.54      11/12/96       4,792
                                                                                 10,000         5.55      11/25/96       9,963
Iris Partners L.P.                                                               12,165         5.42      11/08/96      12,152
Jet Funding Corporation                                                          10,000         5.58      11/20/96       9,971
                                                                                  9,226         5.58      11/29/96       9,186
                                                                                  4,159         5.45       1/31/97       4,102
Johnson Controls, Inc.                                                              992         5.04     Upon Demand       992
                                                                                 20,000         5.39      11/19/96      19,946
                                                                                 30,800         5.40      11/26/96      30,684
Locap, Inc.                                                                      11,253         5.49      11/25/96      11,212
Mercury Finance Corporation                                                       3,500         5.62      11/04/96       3,498
                                                                                 20,000         5.63      11/18/96      19,947
                                                                                  5,000         5.61      11/19/96       4,986
                                                                                 11,500         5.45      11/25/96      11,458
                                                                                  6,000         5.46      12/02/96       5,972
                                                                                  9,500         5.62      12/09/96       9,444
                                                                                 11,000         5.62      12/12/96      10,930
                                                                                 13,000         5.65      12/16/96      12,908
                                                                                  4,000         5.55      12/17/96       3,972
                                                                                  5,000         5.53       1/10/97       4,946
                                                                                 10,000         5.53       1/23/97       9,872
National Fuel Gas Company                                                         5,000         5.42      12/06/96       4,974
                                                                                 10,000         5.42      12/16/96       9,932
New Hampshire Business Finance Authority (Acquired 10/04/96; Cost $8,000) (c)     8,000         5.43      12/05/96       8,000
New York City General Obligation                                                  1,000         5.55      11/05/96       1,000
                                                                                  1,800         5.57      11/12/96       1,800
                                                                                  8,335         5.55      11/19/96       8,335
                                                                                 13,300         5.55      11/20/96      13,300
                                                                                  8,020         5.51      11/21/96       8,020
                                                                                 37,670         5.51      11/22/96      37,670
                                                                                  9,500         5.58       1/15/97       9,500
Nynex Corporation                                                                17,300         5.49      12/03/96      17,216
Oakland-Alameda County, California Coliseum Authority                            20,465         5.43      11/21/96      20,465
Progress Funding Corporation                                                     11,200         5.47      11/01/96      11,200
                                                                                  5,000         5.52      12/06/96       4,973
                                                                                  9,000         5.62      12/16/96       8,937
                                                                                  5,000         5.52      12/20/96       4,962
                                                                                  4,950         5.65      12/24/96       4,909
                                                                                 18,000         5.39      12/31/96      17,838
                                                                                  2,300         5.45       1/16/97       2,273
Salomon, Inc.                                                                    17,000         5.48      11/12/96      16,971
                                                                                  3,900         5.46      12/10/96       3,877
                                                                                  7,650         5.46      12/11/96       7,604
                                                                                 22,000         5.60       1/06/97      21,774
                                                                                  8,950         5.52       1/07/97       8,858
                                                                                 20,300         5.51       1/15/97      20,067
                                                                                 10,000         5.52       1/22/97       9,874
San Diego, California Industrial Development Revenue - San Diego Gas & 
   Electric Company (Acquired 8/08/96; Cost $4,000) (c)                           4,000         5.50      11/08/96       4,000
Shimizu International Finance, Inc.                                               8,000         5.33      12/12/96       7,951
Shoseki International Corporation                                                 6,700         5.48      12/17/96       6,653
Society of the New York Hospital Fund, Inc.                                      18,000         5.35      12/10/96      17,896
                                                                                 14,500         5.45      12/18/96      14,397
Spintab AB                                                                       15,500         5.37      11/20/96      15,456
Strait Capital Corporation                                                        4,400         5.42       1/31/97       4,340
Strategic Asset Funding Corporation                                               2,240         5.40      11/12/96       2,236
                                                                                  4,793         5.48      12/30/96       4,750
                                                                                 22,443         5.40       1/31/97      22,137
                                       
                                                                                                                             5
                                              See notes to financial statements.

                                                                                                                            
<PAGE>


SCHEDULE OF INVESTMENTS IN SECURITIES (continued)                                                               October 31, 1996
- ---------------------------------------------------------------------------------------------------------------------------------


                                                                                PRINCIPAL    YIELD TO     MATURITY     AMORTIZED
                                                                                 AMOUNT      MATURITY     DATE (a)     COST (b)
SECURITY                                                                     (In Thousands)                         (In Thousands)
- ---------------------------------------------------------------------------------------------------------------------------------
Sumitomo Bank Capital Markets, Inc.                                             $ 9,000         5.45%      1/27/97  $    8,881
                                                                                 30,000         5.44       2/26/97      29,470
Sunshine State Government Finance                                                 6,844         5.42      11/05/96       6,840
                                                                                 10,000         5.60      12/17/96       9,928
Whirlpool Corporation                                                             8,400         5.40       1/17/97       8,303
Whirlpool Financial Corporation                                                  23,450         5.32      11/25/96      23,367
                                                                                 12,550         5.40       1/16/97      12,407
                                                                                 29,500         5.40       1/17/97      29,159
Wisconsin Electric Power Company                                                     55         5.06     Upon Demand        55
                                                                                                                     ---------
Total Commercial Paper                                                                                               1,508,761

CORPORATE FLOATING RATE NOTES 1.8%
CS First Boston, Inc. Medium Term Notes (Acquired 6/29/95; Cost $25,000) (c)     25,000         5.76       1/07/97      25,000
General Motors Acceptance Corporation Medium Term Notes                          10,000         5.45       1/21/97      10,000
                                                                                                                        ------
Total Corporate Floating Rate Notes                                                                                     35,000

CORPORATE OBLIGATIONS 7.6%
AT&T Capital Corporation Medium Term Notes:
  Tranche #478, 7.80%                                                             2,625         5.34      12/30/96       2,635
  Tranche #489, 7.68%                                                            19,100         5.29       1/31/97      19,212
Advanta National Bank Notes, 6.03%                                                5,000         5.92      10/31/97       5,005
Aristar, Inc. Senior Notes, 7.375%                                               20,230         5.10       2/15/97      20,361
Banponce Financial Corporation Medium Term Notes, Tranche #34, 5.45%              8,000         6.02       1/07/97       7,992
Finova Capital Corporation Notes:
  8.00%                                                                           4,000         5.26       1/15/97       4,022
  8.25%                                                                           4,100         5.49       3/11/97       4,140
Ford Motor Credit Company Medium Term Notes, 5.20%                                4,000         5.24       1/01/97       4,000
General Motors Acceptance Corporation Medium Term Notes:
  Tranche #90, 7.75%                                                              1,000         5.75       1/17/97       1,004
  Tranche #137, 7.60%                                                             7,425         5.31       2/10/97       7,471
  Tranche #176, 7.875%                                                           10,000         5.28       2/28/97      10,083
  Tranche #187, 7.85%                                                             1,625         5.11       3/05/97       1,640
  Tranche #224, 8.25%                                                            10,000         5.16       1/06/97      10,055
  Tranche #311, 8.00%                                                             3,000         5.15       2/03/97       3,022
  Tranche #452, 7.50%                                                             6,600         5.86       3/03/97       6,636
  Tranche #865, 5.25%                                                             1,000         5.06      12/09/96       1,000
MCI Communications Corporation Senior Notes, 7.625%                               2,625         5.65      11/07/96       2,626
MGM Grand Hotel Finance Corporation First Mortgage Notes, 12.00%                 14,000         6.58       5/01/97      15,092
Waste Management, Inc. Liquid Yield Option Notes, Zero %                         22,950         5.83       6/30/97       9,212
World Savings & Loan Association Oakland, California Medium Term Notes,
  Tranche #22, 7.625%                                                            14,000         5.30       2/18/97      14,095
                                                                                                                       -------
Total Corporate Obligations                                                                                            149,303

TAXABLE VARIABLE RATE PUT BONDS 7.2%
Alabama Industrial Development Authority - S-Tool Project                         8,000         5.55      11/07/96       8,000
Aurora, Kane & DuPage Counties, Illinois Industrial Development Revenue           1,700         5.65      11/07/96       1,700
Chattanooga, Tennessee Industrial Development Board Revenue - Radisson Read 
   Project                                                                        3,660         6.01      11/07/96       3,660
Community Health Systems, Inc.                                                    3,800         5.55      11/06/96       3,800
Health Midwest Ventures Group, Inc.                                               8,400         5.45      11/06/96       8,400
Illinois Housing Development Authority                                           14,345         5.53      11/01/96      14,345
Ivex of Delaware, Inc.                                                            6,400         5.50      11/07/96       6,400
J.H. Siroonian, Inc.                                                              7,225         5.45      11/06/96       7,225
Kinder-Care Learning Centers, Inc. Industrial Refunding - Kinder-Care Learning
  Centers, Inc. Projects                                                          4,000         5.52      11/06/96       4,000
Mississippi Business Finance Corporation Industrial Development - Morton 
  International, Inc.                                                            14,500         5.53      11/01/96      14,500
Montgomery County, Pennsylvania Industrial Development Authority Revenue          4,405         5.50      11/07/96       4,405
New Jersey Sports & Exposition Authority Sports Complex Subordinated Refunding
  Revenue                                                                        21,275         5.53      11/01/96      21,275
Passaic County, New Jersey General Obligation Refunding                          13,800         5.30      11/06/96      13,800
South Carolina Jobs - Economic Development Authority Industrial Development
  Revenue - Roller Bearing Company of America, Inc. Project                       3,000         5.81      11/07/96       3,000
Southeast Atlantic Properties, LLC                                                1,669         5.55      11/07/96       1,669
Stanislaus County, California Pension Obligation                                 10,000         5.53      11/01/96      10,000
Thayer Properties, LLC                                                            3,575         5.55      11/07/96       3,575
Tifton Mall, Inc.                                                                 4,000         5.55      11/07/96       4,000
Virginia Housing Development Authority Multifamily Housing Revenue                1,980         5.53      11/01/96       1,980
WLB, LLC                                                                          3,900         5.55      11/07/96       3,900
                                                                                                                       -------
Total Taxable Variable Rate Put Bonds                                                                                  139,634
                                           
6

                                              See notes to financial statements.

<PAGE>
- ---------------------------------------------------------------------------------------------------------------------------------

                                                                                PRINCIPAL    YIELD TO     MATURITY     AMORTIZED
                                                                                 AMOUNT      MATURITY     DATE (a)     COST (b)
SECURITY                                                                     (In Thousands)                         (In Thousands)
- ---------------------------------------------------------------------------------------------------------------------------------
UNITED STATES GOVERNMENT AND AGENCY ISSUES 0.8%
Student Loan Marketing Association Floating Rate Notes                          $ 5,000         5.37%     11/05/96  $    5,000
                                                                                 10,000         5.39      11/05/96      10,000
                                                                                                                        ------
Total United States Government and Agency Issues                                                                        15,000
                                                                                                                        ------      
TOTAL INVESTMENTS IN SECURITIES 100.1%                                                                               1,950,773
Other Assets and Liabilities, Net (0.1%)                                                                                (1,511)
                                                                                                                    ---------- 
NET ASSETS 100.0%                                                                                                   $1,949,262
                                                                                                                    ==========
</TABLE>


                                                                  PERCENTAGE OF
INDUSTRY DIVERSIFICATION                                           NET ASSETS
- -------------------------------------------------------------------------------
Personal & Commercial Lending .......................................  18.3%
Non-Agency Asset-Backed .............................................  11.8
Bank - Regional .....................................................   7.8
Finance - Miscellaneous .............................................   7.8
General Obligation ..................................................   7.1
Brokerage & Investment Management ...................................   5.8
Industrial Development Revenue ......................................   4.9
Automobile ..........................................................   4.1
Household Appliances & Furnishings ..................................   3.8
Foreign Corporate ...................................................   3.4
Diversified Operations ..............................................   2.6
Insurance - Multi-Line ..............................................   2.5
Beverage - Soft Drink ...............................................   2.4
Hospital Revenue ....................................................   2.3
Leisure Service .....................................................   1.9
Insurance - Life ....................................................   1.8
Pollution Control Revenue ...........................................   1.7
Telecommunication Service ...........................................   1.6
Computer Software ...................................................   0.9
Telecommunication ...................................................   0.9
Oil - North American Integrated .....................................   0.8
Student Loan Marketing Association ..................................   0.8
Savings & Loan ......................................................   0.7
Commercial Service ..................................................   0.6
Oil - North American Exploration & Production .......................   0.6
Real Estate .........................................................   0.6
Computer Service ....................................................   0.5
Other Revenue .......................................................   0.5
Utility Revenue .....................................................   0.5
Bank - Money Center .................................................   0.4
Mortgage & Related Service ..........................................   0.4
Electric Utility ....................................................   0.3
Other Assets and Liabilities, Net ...................................  (0.1)
                                                                      ----- 
                                                                      100.0%
                                                                      ===== 


LEGEND
- ------
(a)  Maturity date represents  actual  maturity,  earliest put date, or for U.S.
     Government Agency Securities, the next interest adjustment date.
(b)  Amortized cost for Federal income tax and financial  reporting  purposes is
     the same.
(c)  Restricted security.

 All principal amounts and costs are stated in thousands. 
 Percentages are stated as a percent of net assets.

                                                                               
                                                                               7

                       See notes to financial statements.                       
<PAGE>


STATEMENT OF OPERATIONS
- --------------------------------------------------------------------------------
For the Year Ended October 31, 1996

                                                                 (In Thousands)

INTEREST INCOME                                                     $112,702

EXPENSES:
   Investment Advisory Fees                                            9,952
   Custodian Fees                                                        121
   Shareholder Servicing Costs                                         3,940
   Reports to Shareholders                                             2,409
   Other                                                                 235
                                                                      ------
   Total Expenses before Waivers and Absorptions                      16,657
   Voluntary Expense Waivers and Absorptions by Advisor               (9,271)
                                                                      ------ 
   Expenses, Net                                                       7,386
                                                                      ------
NET INVESTMENT INCOME                                               $105,316
                                                                    ========



STATEMENT OF ASSETS AND LIABILITIES
- --------------------------------------------------------------------------------
October 31, 1996
                                        (In Thousands, Except Per Share Amounts)
ASSETS:
   Investments in Securities, at Amortized Cost                    $1,950,773
   Interest Receivable                                                  7,739
   Other Assets                                                            80
                                                                    ---------
   Total Assets                                                     1,958,592

LIABILITIES:
   Dividends Payable                                                    8,417
   Accrued Operating Expenses and Other Liabilities                       913
                                                                   ----------
   Total Liabilities                                                    9,330
                                                                   ----------
NET ASSETS                                                         $1,949,262
                                                                   ==========

Capital Shares Outstanding (Unlimited Number Authorized)            1,949,262

NET ASSET VALUE PER SHARE                                               $1.00
                                                                        =====

NET ASSETS CONSIST OF:
   Capital (Par Value and Paid-In Capital)                         $1,949,262
                                                                   ==========

8

                       See notes to financial statements.
<PAGE>


STATEMENT OF CHANGES IN NET ASSETS
- --------------------------------------------------------------------------------

                                                         (In Thousands)

                                                 Year Ended        Period Ended
                                                Oct. 31, 1996      Oct. 31, 1995
                                                -------------      -------------
                                                                      (Note 1)
OPERATIONS:
   Net Investment Income                        $  105,316        $     88,460

CAPITAL SHARE TRANSACTIONS:
    Proceeds from Shares Sold                    3,787,630           4,636,534
    Proceeds from Reinvestment of Dividends         99,980              73,780
    Payment for Shares Redeemed                 (3,872,419)         (3,317,226)
                                                ----------          ---------- 
    Net Increase in Net Assets from Capital 
     Share Transactions                             15,191           1,393,088

DISTRIBUTIONS:
   From Net Investment Income                     (105,316)            (88,460)
                                                ----------          ---------- 
TOTAL INCREASE IN NET ASSETS                        15,191           1,393,088

NET ASSETS:
   Beginning of Period                           1,934,071             540,983
                                                ----------          ----------
   End of Period                                $1,949,262          $1,934,071
                                                ==========          ==========

TRANSACTIONS IN SHARES OF THE FUND:
   Sold                                          3,787,630           4,636,534
   Issued in Reinvestment of Dividends              99,980              73,780
   Redeemed                                     (3,872,419)         (3,317,226)
                                                ----------          ---------- 
   Net Increase                                     15,191           1,393,088
                                                ==========          ==========


                                                                               9

                       See notes to financial statements.
                                                                               
<PAGE>


NOTES TO FINANCIAL STATEMENTS
- --------------------------------------------------------------------------------
October 31, 1996

1.  ORGANIZATION
    The Strong Money Market Fund,  Inc. is a diversified,  open-end  management
    investment company registered under the Investment Company Act of 1940.

    The Board of Directors of the Fund  approved  changing its fiscal  year-end
    from December 31 to October 31 in 1995.

2.  SIGNIFICANT ACCOUNTING POLICIES
    The following is a summary of significant  accounting  policies  followed by
    the  Fund in the  preparation  of its  financial  statements.  

     (A)  Security  Valuation -- Investments are valued at amortized cost, which
          approximates current value.  Amortized cost for Federal income tax and
          financial  reporting  purposes  is the  same.  

          The Fund owns certain investment securities which are restricted as to
          resale.  These  securities  are  valued by the Fund  after  giving due
          consideration  to pertinent  factors,  including recent private sales,
          market  conditions and the issuer's  financial  performance.  The Fund
          generally bears the costs, if any,  associated with the disposition of
          restricted  securities.   Aggregate  cost  and  fair  value  of  these
          restricted securities at October 31, 1996 were (in thousands) $212,095
          and $213,069,  respectively,  representing  10.9% of the net assets of
          the Fund.

     (B)  Federal Income and Excise Taxes and  Distributions  to Shareholders --
          It is the  Fund's  policy  to  comply  with  the  requirements  of the
          Internal Revenue Code applicable to regulated investment companies and
          to  distribute   substantially  all  of  its  taxable  income  to  its
          shareholders  in a manner  which  results  in no tax cost to the Fund.
          Therefore, no Federal income or excise tax provision is required.

     (C)  Other -- Investment  security  transactions  are recorded on the trade
          date.  Dividend  distributions  to  shareholders  are  recorded on the
          ex-dividend date. Interest income is recorded on the accrual basis and
          includes amortization of premiums and discounts.

3.  RELATED PARTY TRANSACTIONS
    Strong Capital Management, Inc. (the "Advisor"), with whom certain officers
    and  directors of the Fund are  affiliated,  provides  investment  advisory
    services and shareholder  recordkeeping  and related  services to the Fund.
    The investment  advisory fee, which is established by terms of the Advisory
    Agreement,  is based on an annualized rate of .50% of the average daily net
    assets of the Fund.  Advisory  fees are  subject  to  reimbursement  by the
    Advisor if the Fund's operating expenses exceed certain levels. Shareholder
    recordkeeping   and  related  service  fees  are  based  on   contractually
    established  rates  for  each  open  and  closed  shareholder  account.  In
    addition,  the Advisor is compensated for certain other services related to
    costs incurred for reports to shareholders.

    The amount  payable to the Advisor at October 31, 1996,  other  shareholder
    servicing expenses paid to the Advisor,  and unaffiliated  directors' fees,
    excluding  the  effects of waivers  and  reimbursements,  for the year then
    ended were (in thousands)$905, $106 and $24, respectively.
 
4.  ACQUISITION INFORMATION
    Effective August 30, 1996, Strong Money Market Fund, Inc. acquired, through
    a taxable  merger,  substantially  all of the net  assets  of  Strong  U.S.
    Treasury Money Fund,  Inc.,  which amounted to (in thousands)  $18,063,  in
    exchange for an  equivalent  number of shares.  This amount is reflected in
    Proceeds  from Shares Sold in the  Statement of Changes in Net Assets.  The
    Statement  of  Operations  for the year  ended  October  31,  1996 does not
    include the  pre-acquisition  activity for Strong U.S. Treasury Money Fund,
    Inc. There was no tax effect on Strong Money Market Fund,  Inc. as a result
    of this transaction.


10
<PAGE>

<TABLE>

FINANCIAL HIGHLIGHTS
- -----------------------------------------------------------------------------------------------------------------------------------
<CAPTION>


                                            10-31-96    10-31-95(b)    12-31-94      12-31-93     12-31-92     12-31-91    12-31-90 
                                            --------    -----------    --------      --------     --------     --------    -------- 
                                                         (Note 1)
SELECTED PER-SHARE DATA(a)
- --------------------------
<S>                                       <C>           <C>            <C>           <C>          <C>          <C>         <C>      
NET ASSET VALUE, BEGINNING OF PERIOD      $     1.00    $     1.00     $   1.00      $   1.00     $   1.00     $   1.00    $   1.00 
  Net Investment Income                         0.05          0.05         0.04          0.03         0.04         0.06        0.08 
  Dividends From Net Investment Income         (0.05)        (0.05)       (0.04)        (0.03)       (0.04)       (0.06)      (0.08)
                                               -----         -----        -----         -----        -----        -----       ----- 
NET ASSET VALUE, END OF PERIOD            $     1.00    $     1.00     $   1.00      $   1.00     $   1.00     $   1.00    $   1.00 

TOTAL RETURN                                   +5.4%         +5.2%        +4.0%         +2.9%        +3.7%        +6.1%       +8.1% 

RATIOS AND SUPPLEMENTAL DATA
- ----------------------------
Net Assets, End of Period (In Thousands)  $1,949,262    $1,934,071     $540,983      $329,988     $390,003     $533,869    $ 768,870
Ratio of Expenses to Average Net Assets         0.4%          0.0%*        0.6%          0.7%         0.8%         0.7%         0.7%
Ratio of Expenses to Average Net Assets
  Without Waivers and Absorptions               0.8%          0.7%*        0.9%          1.0%         1.1%         1.0%         0.9%
Ratio of Net Investment Income to
   Average Net Assets                           5.3%          6.1%*        4.0%          2.9%         3.7%         6.0%         7.8%

</TABLE>
<TABLE>

FINANCIAL HIGHLIGHTS (continued)                    
- ---------------------------------------------------------------------------------
<CAPTION>
                                                                                
                                               12-31-89     12-31-88     12-31-87  
                                               --------     --------     --------  
                                                                                   
SELECTED PER-SHARE DATA(a)                                                           
- --------------------------                                                           
<S>                                           <C>          <C>          <C>           
NET ASSET VALUE, BEGINNING OF PERIOD          $    1.00    $    1.00    $    1.00     
  Net Investment Income                            0.09         0.07         0.06     
  Dividends From Net Investment Income            (0.09)       (0.07)       (0.06)    
                                                  -----        -----        -----     
NET ASSET VALUE, END OF PERIOD                $    1.00    $    1.00    $    1.00     
                                                                                     
TOTAL RETURN                                      +9.2%        +7.5%        +6.4%     
                                                                                    
RATIOS AND SUPPLEMENTAL DATA                                                         
- ----------------------------                                                         
Net Assets, End of Period (In Thousands)      $ 829,332    $ 464,459    $ 194,963   
Ratio of Expenses to Average Net Assets            0.7%         1.1%         0.8%    
Ratio of Expenses to Average Net Assets                                               
  Without Waivers and Absorptions                  1.0%         1.1%         1.1%    
Ratio of Net Investment Income to                                                    
  Average Net Assets                               8.8%         7.4%         6.6%    
                                                                                
 *   Calculated on an annualized basis.          
(a)  Information  presented  relates  to a share of  capital  stock of the Fund,
     outstanding for the entire period.
(b)  Total return is not annualized.             

</TABLE>
                                                                              11
<PAGE>


REPORT OF INDEPENDENT ACCOUNTANTS
- --------------------------------------------------------------------------------

To the Shareholders and Board of Directors of the
Strong Money Market Fund, Inc.

We have audited the  accompanying  statement of assets and liabilities of Strong
Money Market Fund, Inc., including the schedule of investments in securities, as
of October 31, 1996,  and the related  statement of operations for the year then
ended,  the  statements  of changes in net assets for the year ended October 31,
1996 and for the period  January 1, 1995 to October 31, 1995,  and the financial
highlights for each of the periods  indicated.  These  financial  statements and
financial  highlights  are the  responsibility  of the  Fund's  management.  Our
responsibility  is to  express  an opinion  on these  financial  statements  and
financial highlights based on our audits.

We  conducted  our  audits  in  accordance  with  generally   accepted  auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable  assurance  about  whether the  financial  statements  and  financial
highlights are free of material misstatement.  An audit includes examining, on a
test basis,  evidence  supporting  the amounts and  disclosures in the financial
statements.  Our  procedures  included  confirmation  of securities  owned as of
October 31, 1996 by  correspondence  with the custodian.  An audit also includes
assessing the  accounting  principles  used and  significant  estimates  made by
management,  as well as evaluating the overall financial statement presentation.
We believe that our audits provide a reasonable basis for our opinion.

In our opinion,  the financial  statements and financial  highlights referred to
above present fairly, in all material  respects,  the financial  position of the
Strong  Money  Market  Fund,  Inc.  as of October 31,  1996,  the results of its
operations  for the year then ended,  the changes in its net assets for the year
ended  October 31, 1996 and for the period  January 1, 1995 to October 31, 1995,
and the financial  highlights for each of the periods  indicated,  in conformity
with generally accepted accounting principles.



COOPERS & LYBRAND L.L.P.


Milwaukee, Wisconsin
December 4, 1996



12
<PAGE>

                             SHAREHOLDER PRIVILIGES*

                                  STRONG FUNDS
                             [PICTURE OF TELEPHONE]
                                24-HOUR SERVICE

TELEPHONE  PURCHASE 
Make  additional  investments  into any Strong Fund by calling us  toll-free  at
1-800-368-3863.

TELEPHONE EXCHANGE
If your financial goals change, you can exchange your investments between any of
the Strong Funds.

TELEPHONE REDEMPTION
You can call  toll-free  to redeem your  mutual  fund  shares at any time.  Your
shares will be redeemed no later than the close of the next business day.

                                  STRONG FUNDS
                            [PICTURE OF DOLLAR SIGN]
                               AUTOMATIC EXCHANGE

AUTOMATIC INVESTMENT PLAN
This plan allows you to set up regular  transfers from your bank checking or NOW
account to your Strong Funds account.

PAYROLL DIRECT DEPOSIT PLAN
You can  automatically  transfer  all or a  portion  of your net pay at each pay
period. This eliminates the delay of depositing  paychecks to your bank and then
sending a check through the mail to Strong Funds.

AUTOMATIC EXCHANGE PLAN
This plan  allows you to exchange  money from one Strong  Fund to  another.  For
example,  you may want to set up automatic exchanges from a money market fund to
an equity fund.


    FOR MORE INFORMATION ABOUT THESE PRIVILEGES, CALL US AT 1-800-368-3863.

To reduce the volume of mail you  receive,  only one copy of certain  materials,
such as  prospectuses  and  shareholder  reports,  is mailed to your  household.
Please call  1-800-368-3863 if you wish to receive  additional  copies,  free of
charge.

 * Each Fund reserves the right to terminate or modify any of these privileges.
<PAGE>


                                                                    Bulk Rate
                                                                  U.S. Postage
                                                                      PAID
                                                                  Milwaukee, WI 
                                                                 Permit No. 2652

                    FOR LITERATURE AND INFORMATION REQUESTS,
                              CALL 1-800-368-1030.

                       TO DISCUSS AN EXISTING ACCOUNT OR
                             CONDUCT A TRANSACTION,
                              CALL 1-800-368-3863.

For a prospectus containing more complete information, including management fees
and  expenses,  please  call  1-800-368-1030.  Please read it  carefully  before
investing or sending money.  This annual report does not constitute an offer for
the sale of securities. Strong Funds are offered for sale by prospectus only.

                                  [STRONG LOGO]

                         STRONG FUNDS DISTRIBUTORS, INC.
                                  P.O. Box 2936
                           Milwaukee, Wisconsin 53201
                           http://www.strong-funds.com

                                                                        4019J96P


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