STRONG SPECIAL FUND II INC
N-30D, 1995-08-22
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<PAGE>   1

                               SEMIANNUAL REPORT
                                 JUNE 30, 1995


                                   THE STRONG
                                SPECIAL FUND II



                          [Photo of a father and son]





                              [Strong Funds Logo]
<PAGE>   2

                               TABLE OF CONTENTS

INVESTMENT REVIEW
     The Strong Special Fund II   . . . . . . . . . . . . . . . . . . 2

FINANCIAL INFORMATION

     Schedule of Investments in Securities  . . . . . . . . . . . . . 4
     Statement of Operations  . . . . . . . . . . . . . . . . . . . . 7
     Statement of Assets and Liabilities  . . . . . . . . . . . . . . 7
     Statement of Changes in Net Assets   . . . . . . . . . . . . . . 8
     Notes to Financial Statements  . . . . . . . . . . . . . . . . . 8

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

<PAGE>   3
The Strong Special Fund II

In pursuit of capital growth, the Strong Special Fund II invests at least 70%
of its total assets in equity securities. It currently emphasizes medium-sized
companies that the Fund's Advisor believes are under-researched and
attractively valued.

                             STOCK PRICES RALLY IN
                               FIRST HALF OF 1995

The first six months of 1995 brought good news for investors in U.S. stocks
despite the dollar's slide versus several global currencies and Mexico's
devaluation of the peso. Continued healthy corporate earnings and the explosive
rally in long bonds helped catapult stocks to record highs. Ironically, the
dollar's weakness-and the turmoil in emerging markets that followed the peso's
devaluation-led to a shift in global capital flows back to the U.S.  Investors
in the U.S. market particularly favored traditional large-cap growth stocks. As
a result, while mid-cap stocks-as measured by the S&P MidCap 400-did well (up
17.62%), they tended to slightly lag the stocks of big companies, as reflected
in the S&P 500's 20.21% gain for the first six months of 1995.(1)

For the six month period ended June 30, 1995, the Fund's total return was
13.12%.

                         A STRATEGY EMPHASIZING VALUE

Throughout the first half of 1995, we continued to stringently evaluate
existing and prospective holdings according to our analysis of their "private
value," which is a fancy term for a simple concept...basically, it means
evaluating companies as if we were a private buyer. We seek to determine how
much we'd be willing to pay to own the entire company. This gives us a
disciplined way to view the company's value and helps us impartially evaluate
potential winners and losers.

If we get an accurate private value, we generally have a good idea of where the
stock's going to trade for the year. We've discovered that most stocks usually
do not trade below 50% of private value, nor do they trade above the 80% mark.
Clearly, when we have a good idea of a company's trading range, we have a
tremendous advantage in determining the most appropriate time to buy or sell.

This analysis helped us identify several key additions to the portfolio, such
as CBS and Toys 'R' Us.  Stocks sold because we believed they had become fully
valued included Eli Lilly and Circus Circus.

                                ASSET ALLOCATION
                                (as of 6/30/95)

                                  [PIE CHART]
<TABLE>
<S>                                                                     <C>
Short-Term Investments  . . . . . . . . . . . . . . . . . . . . . .     10.8%
Convertible Corporate Bonds . . . . . . . . . . . . . . . . . . . .      0.6%
Common and Preferred Stocks including Convertibles  . . . . . . . .     88.6%
</TABLE>                                                            

This allocation is presented as a percentage of net assets, and does not
reflect any options or futures positions held by the Fund. Please see the
Schedule of Investments in Securities for a complete listing of the Fund's
portfolio.

                             FIVE LARGEST HOLDINGS
                                (as of 6/30/95)
<TABLE>
<CAPTION>
                                                                    % OF NET
COMPANY                               DESCRIPTION                    ASSETS
- --------------------------------------------------------------------------------
 <S>                                  <C>                           <C>
Capital Cities/                       Media - Radio/TV                1.4%
ABC, Inc.                     
                                
Cox Communications, Inc.              Media - Radio/TV                1.4%
                                
Toys 'R' Us, Inc.                     Retail - Discount               1.4%
                                
Paging Network, Inc.                  Telecommunication               1.4%
                                
AirTouch Communications               Telecommunication               1.4%
</TABLE>                         

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

                   A FAVORABLE ENVIRONMENT FOR MID-CAP STOCKS

In the Fund's 1994 Annual Report, we stated, "should the Federal Reserve's
repeated rate hikes successfully curtail inflation without drastically slowing
economic growth, the market might then focus on the improving earnings picture,
especially for growth companies."

                                       2
<PAGE>   4

This appeared to be exactly what happened in early 1995. Weaker-than-expected
economic figures indicated a slowing economy and fueled a powerful long-bond
rally. While large-cap stocks felt the positive effects first, we believe the
focus may now shift to mid-cap stocks.  Mid-caps were laggards through most of
the 1980s, and are currently attractive based on their relative value and their
expected growth rates.  The increased valuations of large-cap issues given the
1995 rally simply makes the argument for mid-cap stocks even more compelling.

Therefore, we believe the stage may be set for a longer-term cycle, during
which mid-cap stocks should outperform large-cap issues. Currently, the market
remains vulnerable if the economy slips into a recession. However, given that
many American companies presently possess fairly healthy balance sheets and the
Federal Reserve's growing bias toward easing credit, we believe any downturn
would be relatively minor in comparison to the recessions of the early 1980s.

Long term, we believe the market holds opportunity for investors with the
discipline to demand value as well as strong growth.

Thank you for your continued confidence,

Richard Trent Weiss
Richard T. Weiss
Portfolio Manager

Marina Carlson
Marina T. Carlson
Portfolio Manager

[Photo of Richard Weiss and Marina Carlson]

                   Growth of an assumed $10,000 Investment
                             From 5/8/92 TO 6/30/95

<TABLE>
<CAPTION>
                                   The Strong                 S&P MidCap 400                  S&P 500
                                 Special Fund II               Stock Index                  Stock Index
                                 ---------------              --------------                -----------
<S>                                  <C>                          <C>                          <C>
 5/92                                10,000                       10,000                       10,000
 6/92                                 9,480                        9,705                        9,857
12/92                                11,617                       11,267                       10,680
 6/93                                13,149                       11,907                       11,201
12/93                                14,541                       12,839                       11,756
 6/94                                14,664                       11,901                       11,358
12/94                                15,064                       12,378                       11,912
 6/95                                17,041                       14,559                       14,319
</TABLE>                                                                      

                       Average annual total returns(2)
                                through 6/30/95

<TABLE>
<S>                                                                 <C>
Since inception on 5/8/92                                           18.45%
3-year                                                              21.59%
1-year                                                              16.21%
</TABLE>

This graph, prepared in accordance with SEC regulations, compares a $10,000
investment in the Fund, made at its inception, with similar investments in the
Standard & Poor's 500 Stock Index ("S&P 500") and the Standard & Poor's MidCap
400 Stock Index ("S&P 400").  Results include the reinvestment of all dividends
and capital gains distributions.  The S&P 500 is an unmanaged index generally
representative of the U.S. stock market.  The S&P 400 is an unmanaged index
generally representative of the market for the stocks of mid-sized U.S.
companies.  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.

(1)    Source of index information: Micropal

(2)    The Fund's returns include the effects of deducting the Fund's expenses,
       but do not include changes 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
<TABLE>
<CAPTION>

SCHEDULE OF INVESTMENTS IN SECURITIES                                   June 30, 1995 (Unaudited)

 SHARES OR                                                                         VALUE
PRINCIPAL AMOUNT                                                                 (NOTE 2)
- ----------------                                                                ----------
<S>                                                                           <C>
                   COMMON STOCKS 88.5%*
                   DOMESTIC STOCKS 75.9%*
                   AEROSPACE & DEFENSE 0.8%*
  177,300          Coltec Industries, Inc.+                                    $3,058,425

                   AIRLINE 1.2%*
   59,300          AMR Corporation+                                             4,425,262

                   AUTO & TRUCK PARTS 1.0%*
   92,000          The Goodyear Tire & Rubber Company                           3,795,000

                   AUTOMOBILE 1.0%*
  124,000          Ford Motor Company                                           3,689,000

                   BANK - REGIONAL 2.4%*
  118,100          Old Kent Financial Corporation                               4,015,400
  151,900          West One Bancorp                                             5,069,663
                                                                               ----------
                                                                                9,085,063

                   BANK - SUPER REGIONAL 1.2%*
   90,200          Barnett Banks, Inc.                                          4,622,750

                   BROKERAGE & INVESTMENT MANAGEMENT 0.3%*
   51,700          ROC Communities, Inc.                                        1,143,863

                   CHEMICAL - SPECIALTY 1.2%*
  129,900          Nalco Chemical Company                                       4,725,112

                   COMMERCIAL SERVICE 0.8%*
  265,000          Rollins Truck Leasing Corporation                            2,848,750

                   COMPUTER - PERIPHERAL EQUIPMENT 1.2%*
  117,800          Seagate Technology, Inc.+                                    4,623,650

                   COMPUTER - PERSONAL & WORKSTATION 1.2%*
   96,800          Sun Microsystems, Inc.+                                      4,694,800

                   COMPUTER SOFTWARE 1.9%*
   62,000          Legent Corporation+                                          2,712,500
   48,500          Microsoft Corporation+                                       4,383,187
                                                                               ----------
                                                                                7,095,687

                   CONSUMER - MISCELLANEOUS 1.4%*
  176,300          American Greetings Corporation                               5,178,812

                   DIVERSIFIED OPERATIONS 2.5%*
   79,400          Tyco International, Ltd.                                     4,287,600
  264,200          Whitman Corporation                                          5,118,875
                                                                               ----------
                                                                                9,406,475

                   ELECTRIC POWER 1.2%*
  138,600          NIPSCO Industries, Inc.                                      4,712,400

                   ELECTRONIC PART DISTRIBUTION 1.3%*
  150,300          Marshall Industries+                                         5,035,050

                   ELECTRONIC PRODUCTS - MISCELLANEOUS 2.3%*
   83,100          Hubbell, Inc. Class B                                        4,695,150
  107,500          Raychem Corporation                                          4,125,313
                                                                               ----------
                                                                                8,820,463



 SHARES OR                                                                       VALUE
PRINCIPAL AMOUNT                                                               (NOTE 2)
- ----------------                                                               --------
                   ELECTRONICS - SEMICONDUCTOR/
                     COMPONENT 2.4%*
  220,000          Dallas Semiconductor Corporation                           $ 4,510,000
  166,400          National Semiconductor Corporation+                          4,617,600
                                                                               ----------
                                                                                9,127,600

                   FOOD 2.4%*
   73,000          CPC International, Inc.                                      4,507,750
   80,000          Hershey Foods Corporation                                    4,420,000
                                                                               ----------
                                                                                8,927,750

                   HEALTHCARE - DRUG/DIVERSIFIED 1.1%*
  121,700          Mallinckrodt Group, Inc.                                     4,320,350

                   HEALTHCARE - MEDICAL SUPPLY 2.3%*
   95,800          McKesson Corporation                                         4,478,650
  105,500          Sybron International Corporation+                            4,206,813
                                                                               ----------
                                                                                8,685,463

                   HEALTHCARE - PATIENT CARE 3.1%*
   93,800          Integrated Health Services, Inc.                             2,814,000
  300,000          Tenet Healthcare Corporation+                                4,312,500
  114,900          United Healthcare Corporation                                4,753,988
                                                                               ----------
                                                                               11,880,488

                   INSURANCE - PROPERTY & CASUALTY 1.2%*
   39,000          American International Group, Inc.                           4,446,000

                   LEISURE SERVICE 1.0%*
  124,000          Club Med, Inc.                                               3,952,500

                   MEDIA - PUBLISHING 1.3%*
  155,000          The E.W. Scripps Company                                     4,998,750

                   MEDIA - RADIO/TV 6.3%*
   57,400          CBS, Inc.                                                    3,845,800
   50,000          Capital Cities/ABC, Inc.                                     5,400,000
  278,000          Cox Communications, Inc. Class A+                            5,386,250
  214,000          Tele-Communications, Inc.+                                   5,015,625
  210,000          Turner Broadcasting System, Inc. Class B                     4,305,000
                                                                               ----------
                                                                               23,952,675


                   METALS & MINING 1.1%*
  194,000          Freeport-McMoRan Copper & Gold, Inc. Class A                 4,001,250

                   OIL - NORTH AMERICAN EXPLORATION & PRODUCTION 3.2%*
   50,500          Barrett Resources Corporation+                               1,174,125
  214,000          Devon Energy Corporation                                     4,601,000
  265,000          H S Resources, Inc.+                                         3,710,000
  161,600          Seagull Energy Corporation+                                  2,666,400
                                                                               ----------
                                                                               12,151,525

                   OIL - NORTH AMERICAN INTEGRATED 2.2%*
  122,200          Ashland, Inc.                                                4,292,275
  125,000          Phillips Petroleum Company                                   4,171,875
                                                                               ----------
                                                                                8,464,150

                   OIL WELL EQUIPMENT & SERVICE 2.5%*
  225,000          BJ Services Company+                                         5,118,750
  161,400          Dual Drilling Company+                                       1,593,825
  194,400          Offshore Logistics, Inc.+                                    2,721,600
                                                                               ----------
                                                                                9,434,175
                                                                              
</TABLE>

                      See notes to financial statements.

                                       4
<PAGE>   6
<TABLE>
<CAPTION>
 SHARES OR                                                                       VALUE
PRINCIPAL AMOUNT                                                               (NOTE 2)
- ----------------                                                              -----------
<S>                                                                          <C>
                   POLLUTION CONTROL 1.3%*
  167,200          WMX Technologies, Inc.                                    $  4,744,300

                   PRECIOUS METAL/GEM/STONE 1.2%*
  111,500          Newmont Mining Company                                       4,669,063

                   RETAIL - DEPARTMENT STORE 2.5%*
  201,000          Federated Department Stores, Inc.+                           5,175,750
   98,000          May Department Stores Company                                4,079,250
                                                                               ----------
                                                                                9,255,000

                   RETAIL - DISCOUNT & VARIETY 1.4%*
  182,000          Toys 'R' Us, Inc.+                                           5,323,500

                   RETAIL - FOOD CHAIN 4.2%*
   62,100          Albertson's, Inc.                                            1,847,475
  158,000          American Stores Company                                      4,443,750
  188,000          The Kroger Company+                                          5,052,500
  177,000          The Stop & Shop Companies, Inc.+                             4,535,625
                                                                               ----------
                                                                               15,879,350

                   RETAIL - MAJOR CHAIN 1.2%*
   60,500          Dayton Hudson Corporation                                    4,340,875

                   RETAIL - SPECIALTY 2.5%*
  224,000          The Limited, Inc.                                            4,928,000
  382,000          Ross Stores, Inc.                                            4,488,500
                                                                               ----------
                                                                                9,416,500

                   SAVINGS & LOAN 1.0%*
  162,700          Washington Federal Savings & Loan Association                3,579,400

                   SHOE & APPAREL MANUFACTURING 1.3%*
  238,000          Warnaco Group, Inc. Class A                                  4,760,000

                   TELECOMMUNICATION SERVICE 5.1%*
  182,000          AirTouch Communications+                                     5,187,000
   37,500          LIN Broadcasting Corporation+                                4,743,750
  189,400          MCI Communications Corporation                               4,166,800
  153,000          Paging Network, Inc.+                                        5,240,250
                                                                               ----------
                                                                               19,337,800

                   TELEPHONE 1.2%*
  121,500          Telephone & Data Systems, Inc.                               4,419,562
                                                                               ----------
                   Total Domestic Stocks                                      287,028,588

                   FOREIGN STOCKS 12.6%*
                   Australia 0.6%*
                   ENGINEERING & CONSTRUCTION 0.1%*
  488,000          Walker Corporation                                             155,740

                   FINANCE - MISCELLANEOUS 0.2%*
   66,500          Lend Lease Corporation                                         847,969

                   METALS & MINING 0.3%*
  636,700          Normandy Mining, Ltd.                                          785,693
  285,000          Posgold, Ltd.                                                  572,005
                                                                               ----------
                                                                                1,357,698
                                                                               ----------
                                                                                2,361,407


 SHARES OR                                                                        VALUE
PRINCIPAL AMOUNT                                                                 (NOTE 2)
- ----------------                                                                ----------
                   BERMUDA 1.2%*
                   INSURANCE - PROPERTY & CASUALTY
  168,600          Partners RE Holdings, Ltd. ADR (USD)                        $4,404,675

                   CANADA 1.3%*
                   OIL - NORTH AMERICAN EXPLORATION &
                   PRODUCTION
  255,000          Talisman Energy, Inc.+                                       4,738,395

                   HONG KONG 1.0%*
                   BANK - MONEY CENTER 0.6%*
   18,000          HSBC Holdings PLC ADR (USD)                                  2,308,882

                   PRECIOUS METAL/GEM/STONE 0.2%*
   28,500          Western Deep Levels, Ltd. ADR (USD)                            805,125

                   REAL ESTATE 0.2%*
   46,000          Wharf Resources, Ltd. ADR (USD)                                750,564
                                                                               ----------
                                                                                3,864,571

                   INDIA 0.1%*
                   CLOSED-END FUND
   16,000          Morgan Stanley India Investment Fund, Inc.                     164,000

                   JAPAN 0.5%*
                   ELECTRONIC PRODUCTS - MISCELLANEOUS
   39,500          Sony Corporation                                             1,900,296

                   LUXEMBURG 0.6%*
                   SHIPPING
  171,000          Anangel American Shipholdings, Ltd. ADR (USD)                2,372,625

                   MEXICO 0.1%*
                   AUTOMOBILE 
  229,862          Consorcio G Grupo Dina S.A. de C.V.
                     Series L ADR (USD)                                           459,724

                   NEW ZEALAND 1.0%*
                   AIRLINE 0.5%*
  623,000          Air New Zealand, Ltd. Class B                                1,812,481

                   PAPER & FOREST PRODUCTS 0.5%*
  695,000          Fletcher Challenge, Ltd. Forestry Division                     915,688
  301,000          Fletcher Challenge, Ltd. Ordinary Division                     845,497
                                                                               ----------
                                                                                1,761,185
                                                                               ----------
                                                                                3,573,666
                                                                                         

                   SINGAPORE 1.1%*
                   BANK - MONEY CENTER 0.4%*
  126,000          The Development Bank Of Singapore, Ltd.
                      (Fgn Reg)                                                 1,434,586

                   CONGLOMERATE 0.5%*
   96,000          Jardine Matheson Holdings, Ltd. (USD)                          705,600
  157,000          Keppel Corporation, Ltd.                                     1,281,633
                                                                               ----------
                                                                                1,987,233

                   REAL ESTATE 0.2%*
  316,000          Hong Kong Land Holdings, Ltd. (USD)                            575,120
                                                                               ----------
                                                                                3,996,939
                                                                                         
</TABLE>


                      See notes to financial statements.

                                       5
<PAGE>   7
<TABLE>
<CAPTION>

SCHEDULE OF INVESTMENTS IN SECURITIES (continued)                June 30, 1995 (Unaudited)

   SHARES OR                                                                        VALUE
PRINCIPAL AMOUNT                                                                  (NOTE 2)
- ----------------                                                                  --------
<S>                                                                          <C>
                   SOUTH AFRICA 1.0%*
                   PRECIOUS METAL/GEM/STONE 
    150,000        De Beers Consolidated Mines, Ltd. ADR (USD)               $  3,881,250

                   SWITZERLAND 1.2%*
                   FOOD 
     89,400        Nestle SA Sponsored ADR (USD)                                4,651,902

                   TAIWAN 0.2%*
                   CLOSED-END FUND
    581,000        Core Pacific Pioneer Fund                                      182,223
    490,000        Jardine Fleming Fund+                                          190,680
    493,000        Kwang Hua Fortune Fund                                         184,212
    449,000        NITC Fu-yuan Fund                                              190,372
    476,000        Yuan Ta Duo Yuan Fund                                          192,604
                                                                             ------------
                                                                                  940,091

                   UNITED KINGDOM 2.7%*
                   COMMERCIAL SERVICE 1.2%*
     86,000        Reuters Holdings PLC ADR (USD)                               4,310,750

                   MEDIA - RADIO/TV 1.1%*
    218,000        Bell Cablemedia PLC ADR (USD)+                               4,142,000

                   METALS & MINING 0.4%*
    690,000        Lonrho PLC                                                   1,627,282
                                                                             ------------
                                                                               10,080,032
                                                                             ------------
                   Total Foreign Stocks                                        47,389,573
                                                                             ------------
                   TOTAL COMMON STOCKS
                    (COST $297,742,703)                                       334,418,161

                   CONVERTIBLE PREFERRED STOCK 0.1%*
     18,467        The Times Mirror Company
                      (Cost $414,510)                                             440,910

                   CONVERTIBLE CORPORATE BONDS 0.6%*
$   665,000        LSI Logic Corporation Convertible Subordinated
                     Notes, 5.50%, Due 3/15/01 (Acquired 3/16/94,
                     11/1/94; Cost $748,250) (r)
                     (Amortized Cost $738,146)                                  2,214,450

                   CASH EQUIVALENTS 11.0%*
                   COMMERCIAL PAPER 10.9%*
                   DISCOUNTED 10.6%*
  4,000,000        Barnett Banks, Inc.
                     Due 7/06/95                                                3,997,976
  5,900,000        Burlington Northern Railroad Company
                     Due 7/03/95                                                5,900,000
 13,000,000        Countrywide Funding Corporation
                     Due 7/07/95                                               12,991,290
  6,000,000        Nissan Capital Of America, Inc.
                     Due 7/12/95                                                5,990,775
  9,000,000        Ryder System, Inc.
                     Due 7/11/95                                                8,987,800
  2,300,000        Tyson Foods, Inc.
                     Due 7/12/95                                                2,296,510
                                                                             ------------
                                                                               40,164,351

 SHARES OR                                                                          VALUE
PRINCIPAL AMOUNT                                                                 (NOTE 2)
- ----------------                                                                 --------
                   INTEREST BEARING, DUE UPON DEMAND 0.3%*
 $   11,300        General Mills, Inc., 5.71%                                $     11,300
    376,000        Pitney Bowes Credit Corporation, 5.73%                         376,000
    124,600        Southwestern Bell Telephone Company, 5.71%                     124,600
    379,700        Wisconsin Electric Power Company, 5.77%                        379,700
                                                                             ------------
                                                                                  891,600
                                                                             ------------
                   Total Commercial Paper                                      41,055,951

                   UNITED STATES GOVERNMENT ISSUES 0.1%*
    485,000        United States Treasury Bills
                     Due 7/27/95                                                  483,170
                                                                             ------------
                   Total Cash Equivalents (Cost $41,539,122)                   41,539,121
                                                                             ------------
                   TOTAL INVESTMENTS IN SECURITIES
                      (COST $340,434,481) 100.2%*                             378,612,642
                   Other Assets And Liabilities, Net (0.2%*)                     (569,770)
                                                                             ------------
                   NET ASSETS 100.0%*                                        $378,042,872
                                                                             ============
</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.



                                      6
<PAGE>   8

STATEMENT OF OPERATIONS
For the Six Months Ended June 30, 1995 (Unaudited)

<TABLE>
<S>                                                                           <C>
INCOME:
   Dividends                                                                  $     2,538,586
   Interest                                                                         1,190,560
                                                                              ---------------
   Total Income                                                                     3,729,146

EXPENSES:
   Investment Advisory Fees                                                         1,669,289
   Custodian Fees                                                                      66,855
   Shareholder Servicing Costs                                                          2,532
   Reports To Shareholders                                                              2,064
   Federal and State Registration Fees                                                 24,385
   Other                                                                               29,672
                                                                              ---------------
   Total Expenses                                                                   1,794,797
                                                                              ---------------
NET INVESTMENT INCOME                                                               1,934,349

REALIZED AND UNREALIZED GAIN:
   Net Realized Gain on:
      Investments                                                                   6,468,066
      Futures Contracts, Options, and Hedges                                          116,178
      Foreign Currencies                                                                  316
   Change in Unrealized Appreciation/Depreciation on:
      Investments                                                                  34,007,096
      Futures Contracts, Options, and Hedges                                           18,775
                                                                              ---------------
NET GAIN                                                                           40,610,431
                                                                              ---------------
NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                          $    42,544,780
                                                                              ===============
STATEMENT OF ASSETS AND LIABILITIES
June 30, 1995 (Unaudited)

ASSETS:
   Investments in Securities, at Value (Cost $340,434,481)                    $   378,612,642
   Receivable from Brokers for Securities Sold                                      1,105,364
   Dividends and Interest Receivable                                                  324,682
   Other                                                                               77,125
                                                                              ---------------
   Total Assets                                                                   380,119,813

LIABILITIES:
   Payable to Brokers for Securities Purchased                                      1,705,248
   Accrued Operating Expenses and Other Liabilities                                   371,693
                                                                              ---------------
   Total Liabilities                                                                2,076,941
                                                                              ---------------
NET ASSETS                                                                    $   378,042,872
                                                                              ===============
Capital Shares
   Authorized                                                                  10,000,000,000
   Outstanding                                                                     24,564,846

NET ASSET VALUE PER SHARE                                                     $         15.39
                                                                              ===============
</TABLE>
                       See notes to financial statements.



                                      7
<PAGE>   9
STATEMENT OF CHANGES IN NET ASSETS

For the Six Months Ended June 30, 1995 (Unaudited) and the Year Ended December
31, 1994


<TABLE>
<CAPTION>
                                               June 30, 1995  December 31, 1994
                                               -------------  -----------------
<S>                                             <C>             <C>
OPERATIONS:
  Net Investment Income                         $  1,934,349    $  1,912,490
  Net Realized Gain                                6,584,560      12,782,103
  Change in Unrealized Appreciation/              
    Depreciation                                  34,025,871     (10,293,538)
                                                ------------    ------------
  Increase in Net Assets Resulting
    from Operations                               42,544,780       4,401,055

CAPITAL SHARE TRANSACTIONS                        50,018,497     151,980,818

DISTRIBUTIONS:
  From Net Investment Income                      (1,963,217)     (1,900,181)
  From Net Realized Gains                        (12,989,853)     (5,255,061)
                                                ------------    ------------
TOTAL INCREASE IN NET ASSETS                     77, 610,207     149,226,631

NET ASSETS:
  Beginning of Period                            300,432,665     151,206,034
                                                ------------    ------------
  End of Period                                 $378,042,872    $300,432,665
                                                ============    ============

</TABLE>

                      See notes to financial statements.


NOTES TO FINANCIAL STATEMENTS
June 30, 1995 (Unaudited)

1.      ORGANIZATION    
        The Strong Special 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.  The
             Fund bears the costs, if any, associated with the disposition of
             restricted securities.  Where such disposition depends on a
             security's registration under the Securities Act of 1933, the Fund
             will bear such registration costs unless the Fund has registration
             rights, in which case the issuer will bear such costs.  Aggregate
             cost and fair value of these restricted securities held at June
             30, 1995 were $748,250 and $2,214,450, respectively, representing 
             0.6% 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    
             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.

        (D)  Futures -- The Fund may enter into futures contracts for any 
             lawful purpose, including hedging, risk management, or enhancing
             returns, but not for speculation.  Upon entering into a futures
             contract, the Fund deposits cash, U.S. government

                                      8
<PAGE>   10
    securities, or other liquid, high-grade debt obligations in a
    segregated account with its custodian, in the name of the futures broker
    through whom the transaction was effected, equal to the minimum "initial
    margin" requirements of the applicable futures 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 may involve, to varying degrees, elements
    of market risk in excess of the amount recognized in the statement of
    assets and liabilities.  The successful use of futures contracts by the
    Fund is dependent upon the ability of Strong Capital Management, Inc. (the
    "Advisor") to correctly anticipate trends in the underlying assets of the
    futures contracts. To the extent that the Fund is engaging in futures
    contracts other than for hedging purposes, the Fund's successful use of
    such transactions is more dependent upon the Advisor's ability to correctly
    anticipate such trends, since losses in these transactions may not be
    offset in gains in the Fund's portfolio or in lower purchase prices for
    assets it intends to acquire.  The Advisor's prediction of trends in
    underlying assets may prove to be inaccurate, which could result in
    substantial losses to the Fund. Hedging transactions are also  subject to
    risks. If the Advisor incorrectly anticipates trends in the  underlying
    asset, the Fund may be in a worse position than if no hedging had 
    occurred. In addition, there may be imperfect correlation between the
    Fund's  use of futures contracts and the assets being hedged.

    Futures contracts open at June 30, 1995 were as follows:

<TABLE>
<CAPTION>
                                                                                                      UNREALIZED
      COLLATERAL (PAR VALUE)        CONTRACTS               CONTRACT VALUE          EXPIRATION       APPRECIATION
      ----------------------        ---------               --------------          ----------       ------------
 <S>                                <C>                     <C>                    <C>                <C>
      U.S. Treasury Bills:          10 S&P 500 (Short)      ($2,735,750)           Sept. 1995            $675
      $485,000 Due 7/27/95
</TABLE>


(E) Options -- The Fund may engage in options transactions for any
    lawful purchase, including hedging, risk management, or enhancing returns,
    but not for speculation. The fund may purchase or write put and call options
    on securities, futures contracts, indices, and foreign currency, and enter
    into closing transactions with respect to such options to terminate an
    existing position. 

    Premiums received by the Fund upon writing put or 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 that is written by the Fund
    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 adverse
    movements in the price of the underlying asset during the period of the
    option, although any potential loss during the period would be reduced by
    the amount of the option premium received. The use of written option
    contracts may involve 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 by SEC guidelines, the Fund will set aside permissible liquid 
    assets in a segregated account to secure its potential obligations under its
    written options positions.  

    The successful use of option contracts by the Fund is dependent upon the 
    ability of the Advisor to correctly anticipate trends in the underlying 
    assets of the option contracts. To the extent that the Fund is engaging in
    option contracts other than for hedging purposes, the Fund's successful use
    of such transactions is more dependent upon the Advisor's ability to
    correctly anticipate such trends, since losses in these transactions may not
    be offset in gains in the Fund's portfolio or in lower purchase prices for
    assets it intends to acquire. The Advisor's prediction of trends in
    underlying assets may prove to be inaccurate, which could result in
    substantial losses to the Fund. Hedging transactions are also subject to
    risks. If the Advisor incorrectly anticipates trends in the underlying
    asset, the Fund may be in a worse position than if no hedging had occurred.
    In addition, there may be imperfect correlation between the Fund's use of
    option contracts and the assets being hedged.  

(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 permissible
    liquid assets 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.



                                       9
<PAGE>   11

NOTES TO FINANCIAL STATEMENTS (continued)
June 30, 1995 (Unaudited)

3.  NET ASSETS
    Net assets as of June 30, 1995 were as follows:
<TABLE>
<S>                                                                              <C>
    Capital Stock                                                                    $333,784,858
    Undistributed Net Investment Loss                                                     (19,880)
    Undistributed Net Realized Gain                                                     6,099,058
    Net Unrealized Appreciation                                                        38,178,836
                                                                                     ------------
    Net Assets                                                                       $378,042,872
                                                                                     ============
</TABLE>

4.  CAPITAL SHARE TRANSACTIONS
    Transactions in shares of the Fund for the six months ended June 30, 1995 
    and the year ended December 31, 1994 were as follows:

<TABLE>
<CAPTION>
                                                               JUNE 30, 1995                      DECEMBER 31, 1994
                                                     ----------------------------------      ----------------------------
                                                         SHARES               DOLLARS          SHARES          DOLLARS 
                                                     -----------           ------------      -----------    -------------
  <S>                                                <C>                   <C>               <C>            <C>
    Shares Sold                                        5,287,465            $77,115,158       16,549,320     $240,046,708
    Shares Issued in Reinvestment of Dividends         1,040,730             14,946,490          489,615        7,151,175
    Shares Redeemed                                   (2,880,221)           (42,043,151)      (6,630,857)     (95,217,065)
                                                     -----------           ------------      -----------    -------------
    Net Increase                                       3,447,974            $50,018,497       10,408,078     $151,980,818
                                                     ===========           ============      ===========    =============
</TABLE>

5.  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. 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 six months ended 
    June 30, 1995 is as follows:

    Payable to Advisor at June 30, 1995                       $329,140 
    Other Shareholder Servicing Expenses Paid to Advisor            30 
    Unaffiliated Directors' Fees                                 3,192

6.  INVESTMENT TRANSACTIONS
    Aggregate purchases and sales of long-term securities for the six months 
    ended June 30, 1995 were $137,320,992 and $99,668,091, respectively.

7.  INCOME TAX INFORMATION
    At June 30, 1995, based on investment cost for Federal income tax
    purposes of $341,022,962.30, net unrealized appreciation was $37,589,725.72,
    consisting of $47,831,021.94 in aggregate gross unrealized appreciation and
    $10,241,296.22 in aggregate gross unrealized depreciation.

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.



                                      10
<PAGE>   12

9.  ANNUAL MEETING
    A shareholder meeting was held on April 13, 1995 in Milwaukee, Wisconsin.
    Results of the shareholder vote, calculated as a percentage of total shares
    voted, are as follows:


<TABLE>
<CAPTION>
                                                                      SHARES VOTED 22,032,512.301
                                                                   -------------------------------------------
    PROPOSALS                                                      AFFIRMATIVE        WITHHOLD
    ---------                                                      -----------        --------
<S>                                                            <C>                  <C>           <C>
    1   Election of Directors
           Richard S. Strong                                         97.59%            2.41%
           John Dragisic                                             97.21             2.79
           Marvin E. Nevins                                          96.98             3.02
           Willie D. Davis                                           97.12             2.88
           William F. Vogt                                           97.25             2.75
           Stanley Kritzik                                           97.08             2.92

                                                                 AFFIRMATIVE        AGAINST         ABSTAIN
                                                                 -----------        -------         -------
     2   Ratify Selection of Auditors                                95.02%            0.96%          4.02%
     3   Adopt Advisory Agreement                                    91.71             2.66           5.63
     4   Adopt Revised Articles                                      91.03             3.25           5.72
     5   Amend Investment Objective                                  90.57             3.54           5.89
     6   Amend or Adopt a Fundamental
         Investment Limitation Concerning:
     6A  Diversification                                             91.90             1.44           6.66
     6B  Concentration                                               91.90             1.44           6.66
     6C  Lending                                                     90.58             2.77           6.65
     6D  Purchasing and Selling Real Estate                          90.79             2.55           6.66
     6E  Borrowing                                                   89.99             3.35           6.66
     6F  Underwriting Securities                                     91.12             2.20           6.68
     6G  Purchasing or Selling Financial
         Commodities                                                 89.67             3.64           6.69
     6H  Issuing Senior Securities                                   91.56             1.75           6.69
     6I  Pooled Fund Structures                                      91.09             2.23           6.68
     7   Eliminate a Fundamental Investment
         Limitation Concerning:
     7A  Use of Margin                                               87.02             3.69           9.29
     7B  Purchase of Investment
         Company Securities                                          88.53             2.18           9.29
     7C  Investing in Oil and Gas Interests                          88.08             2.63           9.29
     7D  Pledging Assets                                             86.73             3.94           9.33
     7E  Securities Investments of Directors
         and Officers                                                86.94             3.72           9.34
     7F  Fund Portfolio Transactions with
         Directors and Officers                                      86.61             4.06           9.33
     7G  Investing in Securities for the
         Purpose of Management or Control                            87.33             3.32           9.35 
                                                                                                          
</TABLE>


                                      11
<PAGE>   13
FINANCIAL HIGHLIGHTS


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

<TABLE>
<CAPTION>
                                                                    1995***             1994            1993            1992**
                                                                    -------             ----            ----            ------
<S>                                                               <C>                <C>             <C>             <C>
NET ASSET VALUE, BEGINNING OF PERIOD                               $  14.23           $  14.12        $  11.33        $  10.00
INCOME FROM INVESTMENT OPERATIONS
        Net Investment Income                                          0.08               0.11            0.06            0.02
        Net Realized and Unrealized Gains on Investments               1.73               0.41            2.79            1.57
                                                                   --------           --------        --------        --------
TOTAL FROM INVESTMENT OPERATIONS                                       1.81               0.52            2.85            1.59

LESS DISTRIBUTIONS
        From Net Investment Income                                    (0.08)             (0.11)          (0.06)          (0.02)
        From Net Realized Gains                                       (0.57)             (0.30)              -           (0.24)
                                                                   --------           --------        --------        --------
TOTAL DISTRIBUTIONS                                                   (0.65)             (0.41)          (0.06)          (0.26)
                                                                   --------           --------        --------        --------
NET ASSET VALUE, END OF PERIOD                                     $  15.39           $  14.23        $  14.12        $  11.33
                                                                   ========           ========        ========        ========

Total Return                                                        + 13.1%             + 3.6%         + 25.2%         + 16.2%

Net Assets, End of Period (In Thousands)                           $378,043           $300,433        $151,206        $ 26,649
Ratio of Expenses to Average Net Assets                                1.1%*              1.1%            1.1%            1.6%*
Ratio of Net Investment Income to Average Net Assets                   1.2%*              0.9%            0.5%            0.3%*
Portfolio Turnover Rate                                               33.6%              74.8%          103.1%          383.7%*

</TABLE>


  * Calculated on an annualized basis.
 ** Inception date is May 8, 1992.  Total return is not annualized.
*** For the six months ended June 30, 1995 (Unaudited).  Total return and 
    portfolio turnover rate are not annualized.


                                      12
<PAGE>   14
                            DIRECTORS OF THE FUND

                Richard S. Strong       John Dragisic
                Marvin E. Nevins        Stanley Kritzik
                Willie D. Davis         William F. Vogt

                             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

                              Ronald A. Neville
                                  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 Special Fund II.








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                       STRONG FUNDS DISTRIBUTORS, INC.
                                P.O. Box 2936
                         Milwaukee, Wisconsin  53201




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