STRONG DISCOVERY FUND II INC
N-30D, 1995-03-01
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<PAGE>   1

                                 ANNUAL REPORT



                                   THE STRONG

                               DISCOVERY FUND II



                       [PHOTO OF TWO ANONYMOUS PEOPLE]



                                 [STRONG LOGO]

                                DECEMBER 31,1994

<PAGE>   2
                               TABLE OF CONTENTS
<TABLE>
<S>                                                                         <C>
INVESTMENT REVIEW

      The Strong Discovery Fund II.......................................    2

FINANCIAL INFORMATION

      Historical Investment Returns......................................    4

      Historical Record..................................................    4

      Summary of Investments.............................................    4

      Schedule of Investments in Securities..............................    5

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

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

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

      Notes to Financial Statements......................................    9

FINANCIAL HIGHLIGHTS.....................................................   12

REPORT OF INDEPENDENT ACCOUNTANTS........................................   12
</TABLE>

<PAGE>   3
1994 was a year of transition for the Strong Discovery Fund II, as the economy
adapted to the Federal Reserve's interest rate increases and prepared for a new
era of opportunity made possible by last year's Congressional election.

The Discovery Fund II declined 5.39% in 1994, in significant part because of the
U.S. stock market correction from higher interest rates and the falling dollar.
But a longer-term view of our performance shows that since its inception on May
8, 1992, the Fund has earned an average annual rate of return of 9.02% for its
investors, which is well above the 6.78% return for the S&P 500 during the same
time period.*

Today, our portfolio management team believes that the U.S. and world economies,
financial markets and investment opportunities are well on their way to
becoming the most attractive they have been in two decades. Technology,
productivity and quality of business fabric are leading the way. Though we do
recognize that the U.S. economy is still growing too rapidly, we are confident
that the Federal Reserve's policies will eventually take hold.

In fact, we believe that during 1995, the economy will slow to sustainable
levels, and that interest rates will decline. In response, stocks in general-and
growth stocks in particular-could generate attractive returns this year.

During 1994, the Fund's portfolio was well diversified in growth stocks, and
buttressed by blue chip growth companies such as Home Depot, IBM, Intel,
Motorola, Walt Disney and Xerox. These companies have been generating earnings
growth rates well above the S&P, lending a measure of relative stability and
liquidity to the portfolio.

Blended with these large blue chip growth stocks were a number of smaller,
rapidly growing firms such as Danka Business Systems (office equipment
services), Exide (batteries), Harley-Davidson, Mercury Finance (car loans) and
Office Depot. Moreover, a majority of the portfolio's investments provide
products and services that are consumed on a daily basis. We like the
predictability of companies like these...most are good examples of the razor vs.
blade theory of disposability and repeat purchase.


                      [PHOTO OF TWO ANONYMOUS CHILDREN]

2
<PAGE>   4
During the year, we reduced our direct exposure to foreign securities
significantly, and on December 31, 1994, only 2.5% of the Fund's assets were
invested overseas. However, when foreign markets return to attractive
valuations, we will again selectively invest in foreign stocks.

In conclusion, we continue to remain fully committed to investing for growth.



                                LOOKING AHEAD...

We believe the recent Congressional election will result in the Fed being
encouraged to protect the dollar and battle inflation. As the Fed makes progress
on this front, thus slowing the economy, foreign investors could increase their
holdings of U.S. liquid investments. This combination could result in higher
valuations for U.S. equities, making growth stocks potentially excellent
investment vehicles in the next market cycle.

Thank you for your investment in the Strong Discovery Fund II. We will do our
best to earn your continued confidence.

Sincerely,

/s/ RICHARD S. STRONG

Richard S. Strong
Portfolio Manager

                         [PHOTO OF RICHARD S. STRONG]

                                ASSET ALLOCATION
                      (based on net assets as of 12/31/94)
<TABLE>
                       <S>                          <C>
                       Common & Preferred Stocks
                        including Convertibles      82%
                       Cash Equivalents             18%
</TABLE>

Please see the Schedule of Investments in Securities for a complete listing of
the Fund's portfolio.


                                  GROWTH OF AN
                           ASSUMED $10,000 INVESTMENT
                            from 5/8/92 to 12/31/94

Growth of an assumed $10,000 investment 
from 5/8/92 to 12/31/94

<TABLE>
<CAPTION>
The Strong Discovery Fund II
<S>                                  <C>
5/92                                  10000
6/92                                  9591
12/92                                 10887
6/93                                  11392
12/93                                 13285
6/94                                  11885
12/94                                 12569

<CAPTION>
S&P 500 Stock Index
<S>                                  <C>
5/92                                  10000
6/92                                  9857
12/92                                 10680
6/93                                  11201
12/93                                 11756
6/94                                  11358
12/94                                 11912
</TABLE>


This graph, prepared in accordance with SEC regulations, compares a $10,000
investment in the Fund, made at its inception, with a similar investment in the
Standard & Poor's 500 Stock Index, an unmanaged index generally representative
of the U.S. stock market. Results include the reinvestment of all dividends and
capital gains. Source for the index data is Micropal. Performance is historical
and does not represent future results. Investment returns and principal value
vary, and you may have a gain or loss when you sell shares. Please see the
Historical Investment Returns section for more information on the Fund's
performance record.

<TABLE>
                        AVERAGE ANNUAL TOTAL RETURNS*
                               through 12/31/94

                    <S>                            <C>
                    Since inception on 5/8/92       9.02%
                    1-year                         -5.39%
</TABLE>

*The Fund's returns include the effects of deducting the Fund's expenses, but do
 not include charges and expenses attributable to any particular insurance
 product. Excluding such fees and expenses from the Fund's return quotations has
 the effect of increasing the performance quoted.

                                                              
                                                                               3
<PAGE>   5
HISTORICAL INVESTMENT RETURNS(1)
- --------------------------------------------------------------------------------
<TABLE>
<S>                                                              <C>
1992                                                             + 8.9%(2)
1993                                                             +22.0%
1994                                                             - 5.4%
Since Inception                                                  +25.7%
  Average Annual Total Return
   -- One-Year Period Ended December 31, 1994                    - 5.4%
   -- Inception Date to December 31, 1994(2)                     + 9.0%
</TABLE>

(1) All performance is historical and does not represent future results.
    Investment returns and principal value will vary, and you may have a gain or
    loss when you sell shares. Returns assume reinvestment of all dividend and
    capital gains distributions. The returns do not include the fees and charges
    imposed under certain variable annuity insurance contracts, which will
    reduce the total return to contract owners. Therefore, these performance
    figures may be of limited use.

(2) Inception date is May 8, 1992.





HISTORICAL RECORD
- --------------------------------------------------------------------------------

The following table illustrates an assumed $10,000 investment in Strong
Discovery Fund II on May 8, 1992, the date of the initial public offering, with
income dividends and capital gains distributions reinvested in additional
shares.

<TABLE>
<CAPTION>
                                      NET ASSET     CAPITAL GAINS      INCOME         GROWTH OF
                                      VALUE PER     DISTRIBUTIONS      DIVIDENDS      AN INITIAL $10,000
                                      SHARE         PER SHARE          PER SHARE      INVESTMENT
- --------------------------------------------------------------------------------------------------------
<S>                                    <C>              <C>              <C>            <C>
May 8, 1992                             $10.00          $ --             $ --           $10,000
December 31, 1992                        10.15           .63              .04            10,887
December 31, 1993                        11.54           .70              .05            13,285
December 31, 1994                        10.07           .33              .53            12,569
</TABLE>





SUMMARY OF INVESTMENTS
- --------------------------------------------------------------------------------
December 31, 1994

<TABLE>
<S>                                                        <C>             <C>
Common and Preferred Stocks including Convertibles         $ 98,103,376     82%
Cash Equivalents and Other Assets and Liabilities, Net       20,823,941     18
                                                           ------------    ---
Net Assets                                                 $118,927,317    100%
                                                           ============    ===
</TABLE>


4
<PAGE>   6
SCHEDULE OF INVESTMENTS IN SECURITIES                          December 31, 1994
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
    SHARES OR                                                           VALUE
PRINCIPAL AMOUNT                                                       (NOTE 2)
- --------------------------------------------------------------------------------
<S>                                                                   <C>
COMMON STOCKS 81.2%*
UNITED STATES 69.0%*
AIRCRAFT & AEROSPACE 0.6%*
        3,400    Boeing Company                                       $  158,950
        4,100    McDonnell Douglas Corporation                           582,200
                                                                      ----------
                                                                         741,150

AUTOMOTIVE RELATED 2.2%*
       26,300    Exide Corporation                                     1,479,375
       18,800    General Motors Corporation                              794,300
       28,400    Thompson PBE, Inc.+                                     372,750
                                                                      ----------
                                                                       2,646,425

BANKING 1.1%*
       11,500    Citicorp                                                475,813
        5,500    Wells Fargo & Company                                   797,500
                                                                      ----------
                                                                       1,273,313

BROADCASTING 1.5%*
       18,800    Broadcasting Partners, Inc.+                            289,050
        8,500    CBS, Inc.                                               470,688
        4,800    Century Communications Corporation Class A+              36,000
          900    Citicasters, Inc.+                                       22,275
        1,915    Infinity Broadcasting Corporation+                       60,322
       35,200    SFX Broadcasting, Inc.+                                 651,200
       13,400    Young Broadcasting, Inc.+                               237,850
                                                                      ----------
                                                                       1,767,385

BUSINESS SERVICES 1.2%*
        8,100    Alco Standard Corporation                               508,275
       23,700    Career Horizons Corporation+                            385,125
       25,700    Corporate Express, Inc.+                                501,150
        1,200    Manpower, Inc.                                           33,750
                                                                      ----------
                                                                       1,428,300

CELLULAR TELEPHONES 0.3%*
       13,200    AirTouch Communications, Inc.+                          384,450

COMMUNICATIONS, LODGING & ENTERTAINMENT 2.8%*
       21,900    Carmike Cinemas, Inc.+                                  503,700
       54,900    Comcast Corporation Class A                             861,244
        3,500    The Walt Disney Company                                 161,437
       10,200    Host Marriott Corporation+                               98,175
       18,000    Promus Companies, Inc.+                                 558,000
       24,450    Regal Cinemas, Inc.+                                    623,475
       13,400    Viacom International, Inc.+                             544,375
                                                                      ----------
                                                                       3,350,406

COMPUTERS & SOFTWARE 8.2%*
       19,100    Aspen Technology, Inc.+                                 374,838
        4,000    CDW Computer Centers, Inc.+                             136,500
       20,900    Cisco Systems, Inc.+                                    734,112
        9,500    Computer Associates International, Inc.                 460,750
       50,100    Compuware Corporation+                                1,803,600
      109,300    EMC Communications Corporation+                       2,363,612
        5,900    IMRS, Inc.+                                             233,050
       36,000    Informix Corporation+                                 1,156,500
        8,200    International Business Machines Corporation             602,700
       34,100    Mentor Graphics Corporation+                            520,025
        3,400    Microsoft Corporation+                                  207,825
        9,900    MicroTouch Systems, Inc.+                               445,500
        5,500    Oracle Systems Corporation+                             242,688
        5,600    Sun Microsystems, Inc.+                                 198,800
        6,800    Synopsys, Inc.+                                         297,500
                                                                      ----------
                                                                       9,778,000

CONGLOMERATES 0.2%*
       26,125    Jason, Inc. (Acquired 1/21/94; Cost $229,900)(r)+       189,668
                                                                     
Consumer Related Products 4.7%*
       14,100    CUC International, Inc.+                                472,350
        4,000    Eastman Kodak Company                                   191,000
      128,000    Fingerhut Companies, Inc.                             1,984,000
       43,400    Harley-Davidson, Inc.                                 1,215,200
       22,000    Herbalife International, Inc.                           371,250
        4,000    IHOP Corporation+                                       109,000
        2,500    Mattel, Inc.                                             62,813
        2,600    The Rival Company                                        45,500
       41,400    Service Corporation International                     1,148,850
                                                                      ----------
                                                                       5,599,963

ELECTRICAL & ELECTRONICS 2.3%*
        8,800    Intel Corporation                                       562,100
       27,700    International Rectifier Corporation+                    671,725
       11,100    Mattson Technology, Inc.+                               213,675
       11,400    Methode Electronics, Inc. Class A                       193,800
       28,800    National Semiconductor Corporation+                     561,600
       29,800    Powell Industries, Inc.+                                167,625
        9,600    Sensormatic Electronics Corporation                     345,600
                                                                      ----------
                                                                       2,716,125

ENERGY RELATED 0.4%*
       11,015    Anadarko Petroleum Corporation                          424,078

FINANCIAL SERVICES 1.5%*
        9,265    American Express Company                                273,318
        3,600    First Financial Management Corporation                  221,850
        7,100    First USA, Inc.                                         233,412
       72,100    Mercury Finance Company                                 937,300
        9,000    SafeCard Services, Inc.                                 169,875
                                                                      ----------
                                                                       1,835,755

FOOD, BEVERAGE & TOBACCO 2.3%*
       36,200    American Family Restaurants, Inc.+                      131,225
       17,900    Boston Chicken, Inc.+                                   311,012
       21,300    Brinker International, Inc.+                            386,063
       26,900    Canandaigua Wine Company, Inc.+                       1,022,200
       24,600    DF & R Restaurants, Inc.                                365,925
       17,500    Quality Dining, Inc.+                                   216,562
        8,700    Starbucks Corporation+                                  239,250
        9,900    Stokely USA, Inc.+                                       56,925
                                                                      ----------
                                                                       2,729,162

FOREST & PAPER PRODUCTS 1.0%*
       11,400    Minerals Technologies, Inc.                             333,450
       11,700    Scott Paper Company                                     808,763
        3,600    Specialty Paperboard, Inc.+                              40,500
                                                                      ----------
                                                                       1,182,713

INSURANCE & INSURANCE RELATED 0.6%*
       13,300    TIG Holdings, Inc.                                      249,375
       15,400    Vesta Insurance Group, Inc.                             438,900
                                                                      ----------
                                                                         688,275
</TABLE>


                       See notes to financial statements.


                                                                               5
<PAGE>   7
SCHEDULE OF INVESTMENTS IN SECURITIES (continued)              December 31, 1994
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
    SHARES OR                                                            VALUE
PRINCIPAL AMOUNT                                                        (NOTE 2)
- --------------------------------------------------------------------------------
<S>                                                                   <C>
MANUFACTURING 0.5%*
      2,200   Applied Power, Inc.                                    $    55,825
     17,200   AptarGroup, Inc.                                           494,500
                                                                     -----------
                                                                         550,325

MEDICAL SERVICES 5.7%*
      5,600   Medaphis Corporation+                                      260,400
    184,300   National Medical Enterprises, Inc.+                      2,603,238
    130,250   Ornda Healthcorp+                                        1,628,125
     62,500   Value Health, Inc.+                                      2,328,125
                                                                     -----------
                                                                       6,819,888

MEDICAL SUPPLIES 1.5%*
     14,800   McKesson Corporation                                       482,850
     13,400   Omnicare, Inc.                                             587,925
     28,400   Patterson Dental Company+                                  589,300
      5,350   Sybron International Corporation+                          184,575
                                                                     -----------
                                                                       1,844,650

METALS & MINING 5.7%*
     26,900   American Barricks Resources Corporation                    598,525
     17,200   Cyprus Amax Minerals Company                               449,350
     12,201   Newmont Mining Company                                     439,243
    409,801   Santa Fe Pacific Gold Corporation+                       5,276,188
                                                                     -----------
                                                                       6,763,306

OFFICE EQUIPMENT 0.7%*
      8,800   Xerox Corporation                                          871,200

OIL FIELD SERVICES & EQUIPMENT 0.4%*
     39,050   Energy Service Company, Inc.+                              478,362

PETROLEUM 1.8%*
     21,500   Box Energy Corporation Class B+                            231,125
     18,300   Cross Timber Oil Company                                   274,500
     31,800   Enron Corporation                                          969,900
     58,000   Flores & Rucks, Inc.+                                      609,000
                                                                     -----------
                                                                       2,084,525

PHARMACEUTICALS 0.3%*
      7,400   R.P. Scherer Corporation+                                  335,775

PUBLISHING 1.1%*
     40,425   The Times Mirror Company Class A                         1,268,334

RAILROADS 1.1%*
      4,100   Burlington Northern, Inc.                                  197,312
     43,300   Santa Fe Pacific Corporation                               757,750
      7,900   Wisconsin Central Transportation Corporation+              325,875
                                                                     -----------
                                                                       1,280,937

REAL ESTATE 6.1%*
     43,500   Associated Estates Realty Corporation                      913,500
     20,100   Duke Realty Investments, Inc.                              567,825
     53,200   Equity Inns, Inc.+                                         585,200
     35,100   General Growth Properties, Inc.                            794,137
     16,400   JDN Realty Corporation                                     328,000
     30,600   Merry Land & Investment Company, Inc.                      669,375
     15,800   Mid-America Apartment Communities, Inc.                    422,650
     64,300   RFS Hotel Investors, Inc.                                  940,387
     42,700   ROC Communities, Inc.                                      896,700
     12,000   Storage USA, Inc.                                          330,000
     33,800   Weeks Corporation                                          739,375
      3,700   Wellsford Residential Property Trust                        77,700
                                                                     -----------
                                                                       7,264,849

RETAIL 7.6%*
      2,600   Barnes & Noble, Inc.+                                       81,250
     26,700   Best Products Company, Inc.+                               173,550
     21,200   Damark International, Inc. Class A+                        174,900
      4,000   Dollar General Corporation                                 120,000
     12,200   Eckerd Corporation+                                        364,475
     97,100   Federated Department Stores, Inc.+                       1,869,175
     14,300   The Home Depot, Inc.                                       657,800
     43,750   Just For Feet, Inc.+                                       749,218
     35,100   Micro Warehouse, Inc.+                                   1,228,500
     66,300   Movie Gallery, Inc.+                                     1,723,800
     65,800   Office Depot, Inc.+                                      1,579,200
     11,400   OfficeMax, Inc.+                                           302,100
                                                                     -----------
                                                                       9,023,968

STEEL 1.1%*
     23,800   Nucor Corporation                                        1,320,900

TELECOMMUNICATIONS 2.4%*
     45,200   Motorola, Inc.                                           2,615,950
      4,700   Pronet, Inc.+                                               68,150
      9,900   U.S. Long Distance Corporation+                            118,800
                                                                     -----------
                                                                       2,802,900

TIRES & RUBBER 0.2%*
      3,900   Bandag, Inc.                                               235,950

TRANSPORTATION 0.8%*
      5,200   Knight Transportation, Inc.+                                74,100
      7,000   Landstar Systems, Inc.+                                    229,250
     11,700   MS Carriers, Inc.+                                         254,475
     10,200   MTL, Inc.+                                                 114,750
     13,200   TNT Freightways Corporation                                338,250
                                                                     -----------
                                                                       1,010,825

WASTE CONTROL 0.1%*
      5,400   Continental Waste Industries, Inc.+                         53,325

OTHER 1.0%*
     64,800   Consolidated Graphics, Inc.+                               729,000
      2,200   Corrpro Companies, Inc.+                                    33,275
     23,000   Equity Corporation International+                          304,750
     11,900   John Q. Hammons Hotels, Inc.+                              166,600
                                                                     -----------
                                                                       1,233,625
                                                                     -----------
              Total United States                                     81,978,812

FOREIGN 12.2%*
BRAZIL 3.2%*
PETROLEUM 0.1%*
    500,000   Petroleo Brasileiro S.A.                                    63,233

STEEL 0.1%*
      4,000   Usinas Siderurgicas de Minas Gerais S.A. ADR
                (USD) (Acquired 9/20/94-12/28/94;
                Cost $54,050)(r)+                                         54,500

TELECOMMUNICATIONS 1.9%*
     52,100   Telecommunicacoes Brasileiras S.A. ADR (USD)             2,331,475

OTHER 1.1%*
     35,100   Companhia Energetica de Minas Gerais ADR
                (USD)+                                                   851,175
      9,800   Companhia Vale do Rio Doce ADR (USD)                       471,625
                                                                     -----------
                                                                       1,322,800
                                                                     -----------
                                                                       3,772,008
</TABLE>

                       See notes to financial statements.


6
<PAGE>   8
SCHEDULE OF INVESTMENTS IN SECURITIES (continued)              December 31, 1994
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
    SHARES OR                                                            VALUE
PRINCIPAL AMOUNT                                                        (NOTE 2)
- --------------------------------------------------------------------------------

<S>                                                                 <C>
CANADA 1.1%*
CONSUMER RELATED PRODUCTS 0.8%*
       34,800   The Loewen Group, Inc. (USD)                        $    922,200

METALS & MINING 0.3%*
       17,450   Placer Dome, Inc. (USD)                                  379,538
                                                                    ------------
                                                                       1,301,738

HONG KONG 5.9%*
AIRCRAFT & AEROSPACE 0.2%*
       82,700   Hong Kong Aircraft Engineering Company, Ltd.             275,774

BANKING 1.7%*
       18,500   HSBC Holdings PLC ADR (USD)                            1,996,564

CONGLOMERATES 1.5%*
      367,000   Citic Pacific, Ltd.                                      884,652
       66,000   Guangdong Investment, Ltd.                                32,629
       23,000   Swire Pacific, Ltd. `A'                                  143,286
      125,000   Swire Pacific, Ltd. ADR (USD)                            778,712
                                                                    ------------
                                                                       1,839,279

ELECTRIC & GAS UTILITIES 0.8%*
      390,000   Consolidated Electric Power Asia, Ltd.                   856,921
        1,900   Consolidated Electric Power Asia, Ltd. ADS
                  (USD) (Acquired 1/14/94; Cost $28,738)(r)               42,038
                                                                    ------------
                                                                         898,959

FINANCIAL SERVICES 0.1%*
       16,000   Guoco Group, Ltd.                                         68,450

REAL ESTATE 0.4%*
       58,000   Cheung Kong (Holdings), Ltd.                             236,138
       62,000   New World Development Company, Ltd.                      165,478
       21,800   Sun Hung Kai Properties, Ltd.                            130,174
                                                                    ------------
                                                                         531,790

OTHER 1.2%*
       28,000   Hutchison Whampoa, Ltd. ADR (USD)                        566,365
      129,300   Jardine Matheson Holdings, Ltd. ADR (USD)                923,318
                                                                    ------------
                                                                       1,489,683
                                                                    ------------
                                                                       7,100,499

THAILAND 0.1%*
BANKING
       10,000   Bangkok Bank Public Company, Ltd. (Fgn Reg)              106,794

UNITED KINGDOM 1.9%*
BUSINESS SERVICES
      107,400   Danka Business Systems PLC ADR (USD)                   2,322,525
                                                                    ------------
                Total Foreign                                         14,603,564
                                                                    ------------
                Total Common Stocks (Cost $99,144,600)                96,582,376

PREFERRED STOCK 0.1%*
FOREIGN
FINLAND
          800   Nokia Corporation Preferred ADR (USD)+
                  (Cost $59,036)                                          60,000

CONVERTIBLE PREFERRED STOCK 1.2%*
      243,500   RJR Nabisco Holdings Corporation Series C
                  Depository Shares Representing 1/10
                  Series C Conversion Preferred Stock
                  (Cost $1,582,750)                                    1,461,000

CASH EQUIVALENTS 14.6%*
COMMERCIAL PAPER 14.6%*
DISCOUNTED 12.8%*
   $5,000,000   Anadarko Petroleum Corporation
                  Due 1/06/95                                          4,997,354
    2,000,000   Pennsylvania Power & Light Energy Trust
                  Due 1/04/95                                          1,999,664
    1,200,000   Pet, Inc.
                  Due 1/03/95                                          1,200,000
    1,600,000   Sundstrand Corporation
                  Due 1/03/95                                          1,600,000
    5,400,000   Tyson Foods, Inc.
                  Due 1/05/95                                          5,398,149
                                                                    ------------
                                                                      15,195,167
INTEREST BEARING, DUE UPON DEMAND 1.8%*
       50,100   BarclaysAmericanCorp., 5.80%                              50,100
      355,100   Eli Lilly & Company, 5.55%                               355,100
      165,700   General Mills, Inc., 5.73%                               165,700
    1,229,800   Pitney Bowes Credit Corporation, 5.73%                 1,229,800
      338,400   Sara Lee Corporation, 5.71%                              338,400
       74,100   Wisconsin Electric Power Company, 5.77%                   74,100
                                                                    ------------
                                                                       2,213,200
                                                                    ------------
                Total Cash Equivalents (Cost $17,408,367)             17,408,367
                                                                    ------------
                TOTAL INVESTMENTS IN SECURITIES
                  (COST $118,194,753) 97.1%*                         115,511,743
                Other Assets and Liabilities, Net 2.9%*                3,415,574
                                                                    ------------
                NET ASSETS 100.0%*                                  $118,927,317
                                                                    ============
</TABLE>

    * Percentages are calculated as a percentage of net assets.
(USD) U.S. dollar-denominated.
  (r) Restricted Security.
    + Non-income producing.


                       See notes to financial statements.


                                                                               7
<PAGE>   9
STATEMENT OF OPERATIONS                                                         
- --------------------------------------------------------------------------------

For the Year Ended December 31, 1994                                            
                                                                                
<TABLE>                                                                         
<S>                                                                 <C>         
INCOME:                                                                         
  Dividends                                                          $1,595,910 
  Interest                                                              561,098 
                                                                     ---------- 
  Total Income                                                        2,157,008 
                                                                                
EXPENSES:                                                                       
  Investment Advisory Fees                                              925,829 
  Custodian Fees                                                        112,907 
  Other                                                                  71,086 
                                                                     ---------- 
  Total Expenses                                                      1,109,822 
                                                                     ---------- 
NET INVESTMENT INCOME                                                 1,047,186 
                                                                                
REALIZED AND UNREALIZED GAIN (LOSS):                                            
  Net Realized Gain (Loss) on:                                                  
    Investments                                                       3,440,152 
    Futures Contracts                                                  (696,167)
    Foreign Currencies                                                   (1,878)
  Change in Unrealized Appreciation/Depreciation on Investments      (8,202,698)
                                                                     ---------- 
NET LOSS                                                             (5,460,591)
                                                                     ---------- 
NET DECREASE IN NET ASSETS RESULTING FROM OPERATIONS                ($4,413,405)
                                                                     ========== 
                                                                                
                                                                                
                                                                                
<CAPTION>                                                                       
STATEMENT OF ASSETS AND LIABILITIES                                             
- --------------------------------------------------------------------------------
December 31, 1994                                                               
                                                                                
<S>                                                              <C>            
ASSETS:                                                                         
  Investments in Securities, at Value (Cost $118,194,753)        $   115,511,743
  Receivable from Brokers for Securities Sold                          4,910,883
  Dividends and Interest Receivable                                      877,189
  Other                                                                   17,458
                                                                 ---------------
  Total Assets                                                       121,317,273
                                                                                
LIABILITIES:                                                                    
  Payable to Brokers for Securities Purchased                          2,252,922
  Accrued Operating Expenses and Other Liabilities                       137,034
                                                                 ---------------
  Total Liabilities                                                    2,389,956
                                                                 ---------------
NET ASSETS                                                       $   118,927,317
                                                                 ===============
Capital Shares                                                                  
  Authorized                                                      10,000,000,000
  Outstanding                                                         11,814,393
                                                                                
NET ASSET VALUE PER SHARE                                        $         10.07
                                                                 ===============
</TABLE>                                                                        
                                                                                
                                                                                
                       See notes to financial statements.                       
                                                                                
                                                                                
8                                                                               
<PAGE>   10
STATEMENT OF CHANGES IN NET ASSETS
- --------------------------------------------------------------------------------

For the Years Ended December 31, 1994 and 1993

<TABLE>
<CAPTION>
                                                                     1994             1993
                                                                 ------------      -----------
<S>                                                              <C>               <C>
OPERATIONS:
  Net Investment Income                                          $  1,047,186      $   212,631
  Net Realized Gain                                                 2,742,107        6,696,782
  Change in Unrealized Appreciation/Depreciation                   (8,202,698)       3,383,609
                                                                 ------------      -----------
  Increase (Decrease) in Net Assets Resulting from Operations      (4,413,405)      10,293,022

CAPITAL SHARE TRANSACTIONS                                         60,217,692       38,197,143

DISTRIBUTIONS:
  From Net Investment Income                                       (1,047,186)        (215,344)
  In Excess of Net Investment Income                               (4,473,221)      (3,075,395)
  From Net Realized Gains                                          (3,294,825)              --
                                                                 ------------      -----------

TOTAL INCREASE IN NET ASSETS                                       46,989,055       45,199,426

NET ASSETS:
  Beginning of Year                                                71,938,262       26,738,836
                                                                 ------------      -----------
  End of Year                                                    $118,927,317      $71,938,262
                                                                 ============      ===========
</TABLE>
                       See notes to financial statements.


NOTES TO FINANCIAL STATEMENTS
- --------------------------------------------------------------------------------

December 31, 1994

1. ORGANIZATION

   The Strong Discovery Fund II, Inc. is a diversified, open-end management
   investment company registered with the Securities and Exchange Commission
   under the Investment Company Act of 1940.

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 in securities for which market
       quotations are readily available are valued at fair value as determined
       by a pricing service on the basis of the average of the most recent bid
       and asked prices in the principal market (closing sales prices if the
       principal market is an exchange) in which such securities are normally
       traded. Securities for which quotations are not readily available are
       valued at fair value as determined in good faith under consistently
       applied procedures established by and under the general supervision of
       the Directors of the Fund. Debt securities which are purchased within 60
       days of their stated maturity are valued at amortized cost, which
       approximates current value.

       The Fund owns certain investment securities which are restricted as to
       resale. These securities are valued after giving due consideration to
       pertinent factors including recent private sales, market conditions, and
       the issuer's financial performance. Where future disposition of these
       securities requires registration under the Securities Act of 1933, the
       Fund has the right to include its securities in such registration,
       generally without cost to the Fund. Aggregate cost and fair value of
       these restricted securities held at December 31, 1994 were $312,688 and
       $286,206, respectively, representing 0.2% of net assets of the Fund.

   (B) Federal Income 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
       tax provision is required.

       The character of distributions made during the year from net investment
       income or net realized gains may differ from the characterization for
       Federal tax purposes due to differences in the recognition of income and
       expense items for financial statement and tax purposes.

   (C) Realized Gains and Losses On Investment Transactions -- The Fund
       determines the gain or loss realized on investment transactions by
       comparing the identified cost of the security lot sold with the net sales
       proceeds.
                                                                               9
<PAGE>   11
NOTES TO FINANCIAL STATEMENTS (continued)
- --------------------------------------------------------------------------------
December 31, 1994

   (D) Futures -- The Fund may enter into futures contracts to provide
       protection against adverse movements in the prices of securities in the
       portfolio. Upon entering into a futures contract, the Fund pledges to the
       broker cash or U.S. government securities equal to the minimum "initial
       margin" requirements of the exchange. Additionally, the Fund receives
       from or pays to the broker an amount of cash equal to the daily
       fluctuation in the value of the contract. Such receipts or payments are
       known as "variation margin," and are recorded by the Fund as unrealized
       gains or losses. When the contract is closed, the Fund records a realized
       gain or loss equal to the difference between the value of the contract at
       the time it was opened and the value at the time it was closed.

       The use of futures contracts involves, to varying degrees, elements of
       market risk in excess of the amount recognized in the statement of assets
       and liabilities. The predominant risk is that the movement in the price
       of the futures contract may not correlate perfectly with the movement in
       the prices of the assets being hedged. A lack of correlation could render
       the portfolio's hedging strategy unsuccessful and could result in a loss
       to the portfolio.

   (E) Options -- The Fund may engage in options transactions to hedge against
       expected declines of its portfolio securities. Premiums received by the
       Fund upon writing covered call options are recorded in the Fund's
       statement of assets and liabilities as an asset with a corresponding
       liability which is subsequently adjusted to the current market value of
       the option. When an option expires, is exercised, or is closed, the Fund
       realizes a gain or loss, and the liability is eliminated. The Fund
       continues to bear the risk of a decline in the price of the underlying
       security during the period, although any potential loss during the period
       would be reduced by the amount of the option premium received.

       The Fund may also purchase stock index options and write covered stock
       index options. A stock index option is similar to an option on a specific
       security, except that delivery of cash rather than the underlying
       security is made.

       The use of written option contracts involves elements of market risk in
       excess of the amount recognized in the statement of assets and
       liabilities. The contract value represents the Fund's involvement in
       these financial instruments. When required, the Fund will set aside
       permissible liquid assets in a segregated account to secure its potential
       obligations under its options positions.

   (F) Foreign Currency Translation -- Investment securities and other assets
       and liabilities denominated in foreign currencies are converted to U.S.
       dollars based upon current exchange rates. Purchases and sales of foreign
       investment securities and income are converted to U.S. dollars based upon
       currency exchange rates prevailing on the respective dates of such
       transactions. The effect of changes in foreign exchange rates on realized
       and unrealized security gains or losses is reflected as a component of
       such gains or losses.

   (G) When-Issued Securities -- The Fund may purchase securities on a
       when-issued or delayed delivery basis. Although the payment and interest
       terms of these securities are established at the time the purchaser
       enters into the agreement, these securities may be delivered and paid for
       at a future date, generally within 45 days. The Fund records purchases of
       when-issued securities and reflects the values of such securities in
       determining net asset value in the same manner as other portfolio
       securities. The Fund segregates and maintains at all times cash, cash
       equivalents, or other high-quality liquid debt securities in an amount at
       least equal to the amount of outstanding commitments for when-issued
       securities.

   (H) Other -- Portfolio transactions are recorded on the trade date. Dividend
       income and distributions to shareholders are recorded on the ex-dividend
       date. Interest income is recorded on the accrual basis.

3. NET ASSETS

   Net assets as of December 31, 1994 were as follows:

<TABLE>
<S>                                                    <C>
   Capital Stock                                       $123,829,119
   Undistributed Net Investment Loss                            (55)
   Undistributed Net Realized Loss                       (2,218,737)
   Net Unrealized Depreciation                           (2,683,010)
                                                       ------------
   Net Assets                                          $118,927,317
                                                       ============
</TABLE>


10
<PAGE>   12
4. CAPITAL SHARE TRANSACTIONS

   Transactions in shares of the Fund during 1994 and 1993 were as follows:

<TABLE>
<CAPTION>
                                                            1994                           1993
                                                   ------------------------       -----------------------
                                                     SHARES      DOLLARS           SHARES       DOLLARS
                                                   ---------   ------------       ---------   -----------
<S>                                               <C>          <C>               <C>          <C>
   Shares Sold                                     9,271,840   $101,330,716       6,180,867   $66,083,373
   Shares Issued in Reinvestment of Dividends        851,339      8,806,683         312,225     3,283,245
   Shares Redeemed                                (4,541,890)   (49,919,707)     (2,894,221)  (31,169,475)
                                                   ---------   ------------       ---------   -----------
   Net Increase                                    5,581,289   $ 60,217,692       3,598,871   $38,197,143
                                                   =========   ============       =========   ===========
</TABLE>

5. RELATED PARTY TRANSACTIONS

   Strong Capital Management, Inc. (the "Advisor"), with whom certain officers
   and a director of the Fund are affiliated, provides investment advisory
   services and shareholder recordkeeping and related services to the Fund.
   Investment advisory fees, which are established by terms of an Advisory
   Agreement, are based on an annualized rate of 1.00% 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.

   Certain information regarding these transactions for the year ended December
   31, 1994 is as follows:

<TABLE>
<S>                                                        <C>
   Payable to Advisor at December 31, 1994                 $112,041
   Shareholder Recordkeeping Fees Paid to Advisor             5,002
   Other Shareholder Servicing Expenses Paid to Advisor         122
   Unaffiliated Directors' Fees                               2,333
</TABLE>

6. INVESTMENT TRANSACTIONS

   Aggregate purchases and sales of long-term securities during 1994 were
   $559,089,616 and $515,708,181, respectively.

7. INCOME TAX INFORMATION

   At December 31, 1994, based on investment cost for Federal income tax
   purposes of $118,986,719, net unrealized depreciation was $3,474,976,
   consisting of $4,199,810 in aggregate gross unrealized appreciation and
   $7,674,786 in aggregate gross unrealized depreciation. At December 31, 1994,
   the Fund has capital loss carryovers of $1,418,231 which expire in 2002.

8. FOREIGN INVESTMENTS

   Investments in foreign markets can pose more risks than U.S. investments, and
   to the extent that the Fund invests in foreign securities, the Fund's share
   price is expected to be more volatile than that of a U.S. securities-only
   fund. The value of the Fund's foreign securities will fluctuate with changes
   in stock market conditions, currency values, interest rates, foreign
   government regulations, and economic and political conditions in countries in
   which the Fund invests. These risks are generally intensified for investments
   in emerging markets.



                                                                              11
<PAGE>   13
FINANCIAL HIGHLIGHTS
- --------------------------------------------------------------------------------

The following presents information relating to a share of capital stock
outstanding for the entire period.

<TABLE>
<CAPTION>
                                                         1994         1993          1992**
                                                       --------      -------       --------
<S>                                                    <C>           <C>           <C>
NET ASSET VALUE, BEGINNING OF PERIOD                   $  11.54      $ 10.15       $  10.00

INCOME FROM INVESTMENT OPERATIONS
   Net Investment Income                                   0.10         0.05           0.04
   Net Realized and Unrealized Gains
      (Losses) on Investments                             (0.71)        2.09           0.78
                                                       --------      -------       --------
TOTAL FROM INVESTMENT OPERATIONS                          (0.61)        2.14           0.82

LESS DISTRIBUTIONS
   From Net Investment Income                             (0.10)       (0.05)         (0.04)
   In Excess of Net Investment Income                     (0.43)       (0.70)            --
   From Net Realized Gains                                (0.33)          --          (0.63)(1)
                                                       --------      -------       --------
TOTAL DISTRIBUTIONS                                       (0.86)       (0.75)         (0.67)
                                                       --------      -------       --------
NET ASSET VALUE, END OF PERIOD                         $  10.07      $ 11.54       $  10.15
                                                       ========      =======       ========

Total Return                                              -5.4%       +22.0%          +8.9%

Net Assets, End of Period (In Thousands)               $118,927      $71,938       $ 26,739
Ratio of Expenses to Average Net Assets                    1.2%         1.3%           1.7%*
Ratio of Net Investment Income to Average Net Assets       1.1%         0.5%           0.5%*
Portfolio Turnover Rate                                  662.5%       976.5%       1,767.9%*
</TABLE>

  * Calculated on an annualized basis.
 ** Inception date is May 8, 1992. Total return is not annualized.
(1) Ordinary income distribution for tax purposes.



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


To the Shareholders and Board of Directors of the
Strong Discovery Fund II, Inc.

We have audited the accompanying statement of assets and liabilities of Strong
Discovery Fund II, Inc., including the schedule of investments in securities, as
of December 31, 1994, and the related statement of operations for the year then
ended, the statement of changes in net assets for each of the two years in the
period then ended, 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
December 31, 1994 by correspondence with the custodian and brokers. 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 Discovery Fund II, Inc. as of December 31, 1994, the results of its
operations for the year then ended, the changes in its net assets for each of
the two years in the period then ended, and the financial highlights for each of
the periods indicated, in conformity with generally accepted accounting
principles.

                                                        COOPERS & LYBRAND L.L.P.

Milwaukee, Wisconsin
February 7, 1995


12
<PAGE>   14
                             DIRECTORS OF THE FUND

                               Richard S. Strong
                                Marvin E. Nevins
                                Willie D. Davis


                              OFFICERS OF THE FUND

                               Richard S. Strong
                             Chairman of the Board

                                 John Dragisic
                                 Vice Chairman

                               Lawrence A. Totsky
                                 Vice President

                                Thomas P. Lemke
                                 Vice President

                                Ann E. Oglanian
                                   Secretary

                               Thomas M. Zoeller
                                   Treasurer

                               Investment Advisor
                        Strong Capital Management, Inc.
                   P.O. Box 2936, Milwaukee, Wisconsin 53201

                                  Distributor
                        Strong Funds Distributors, Inc.
                   P.O. Box 2936, Milwaukee, Wisconsin 53201

                                   Custodian
                             Firstar Trust Company
                    P.O. Box 701, Milwaukee, Wisconsin 53201

                  Transfer Agent and Dividend-Disbursing Agent
                        Strong Capital Management, Inc.
                   P.O. Box 2936, Milwaukee, Wisconsin 53201

                                    Auditors
                            Coopers & Lybrand L.L.P.
             411 East Wisconsin Avenue, Milwaukee, Wisconsin 53202

                                 Legal Counsel
                              Godfrey & Kahn, S.C.
               780 North Water Street, Milwaukee, Wisconsin 53202

<PAGE>   15


       This report must be preceded or accompanied by the prospectus for
                         the Strong Discovery Fund II.








                                 [STRONG LOGO]

                        STRONG FUNDS DISTRIBUTORS, INC.

                                 P.O. Box 2936

                           Milwaukee, Wisconsin 53201





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