STRONG SPECIAL FUND II INC
N-30D, 1997-02-28
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                                   THE STRONG
                                SPECIAL FUND II

                       ANNUAL REPORT o DECEMBER 31, 1996

                               
  [PICTURE OF PIE CHART] 
           [PHOTO OF FAMILY]                              [PICTURE OF BAR GRAPH]

                        DESIGNED TO SEEK CAPITAL GROWTH
                           BY INVESTING PRIMARILY IN
                             MEDIUM-SIZED COMPANIES

                                 [STRONG LOGO]
                                  STRONG FUNDS


<PAGE>

                                   THE STRONG
                                 SPECIAL FUND II

                        ANNUAL REPORT o DECEMBER 31, 1996

                                TABLE OF CONTENTS


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


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

     Statement of Operations ..............................................6

     Statement of Assets and Liabilities ..................................7

     Statement of Changes in Net Assets ...................................7

     Notes to Financial Statements ........................................8


FINANCIAL HIGHLIGHTS .....................................................10

REPORT OF INDEPENDENT ACCOUNTANTS ........................................11


<PAGE>


THE STRONG SPECIAL FUND II

FOR THE YEAR, THE MARKET PROVED TO BE STRONGER THAN WE EXPECTED.

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

ASSET ALLOCATION
Based on net assets as of 12-31-96
[PIE CHART]

Stocks                   91.0%
Short-Term Investments    9.0%



TOP FIVE SECTORS
Based on net assets as of 12-31-96

  SECTOR                  % OF NET ASSETS
- ------------------------------------------------
  Technology                   22.0%
 ................................................
  Consumer Cyclical            12.0%
 ................................................
  Financial                    11.8%
 ................................................
  Energy                       11.3%
 ................................................
  Basic Material                8.5%
 ................................................

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


STOCKS CLIMBED, BUT NOT SMOOTHLY

For the year, the market proved to be stronger than we expected. The broad-based
S&P 500 Index  returned  22.96%  for the year.  There  were  plenty of peaks and
valleys on the way to that  number,  though.  Small- and  mid-size  stocks  were
powerful  in the first  several  months of the year,  then  suffered  around the
middle  of the  year.  They  regained  some of  their  footing,  but  ultimately
large-capitalization  stocks  beat them for the year.  Thus,  the S&P MidCap 400
Stock Index's 19.20% gain trailed the broader S&P 500 Stock Index.*

Our return for the year was 18.15%.  That's a robust figure,  but it is a little
below the return of our benchmark, the S&P MidCap 400. This slight difference is
not entirely  surprising.  The market has been focused on earnings,  with little
regard to valuation,  to which we pay close attention.  Therefore,  high-priced,
momentum-driven  stocks continued to move up as long as they delivered a certain
level of earnings.

We positioned the Fund somewhat  defensively  around the beginning of the second
quarter.   This  kept  the  Fund  from  fully  realizing  the  gains  that  many
higher-priced  growth stocks posted early in that quarter. It also protected the
portfolio from the sharp declines that hit small- and medium-size  stocks in the
summer.  The market rallied strongly in the second half of the year, but as time
progressed  the focus  increasingly  fell on momentum  stocks-stocks  that,  for
various reasons, attract intense investor interest.


MANY FACTORS CONTRIBUTED TO HEALTHY RETURNS
The Fund benefited from more than our defensive stance at mid-year.  Late in the
summer  we began to  identify  many  solid  opportunities,  particularly  in two
sectors. After an early summer downturn, technology began to recover, and rising
natural-resource prices helped to strengthen energy stocks.

We've also been able to take profits in some areas. For example,  toward the end
of the year we slowly reduced our sizable  position in retail.  We had purchased
these  stocks  based on our  perception  that the market was unduly  pessimistic
about their prospects. Our more optimistic view seems to have won out-and as the
stocks have gone up, we have selectively sold them off.


APPLYING OUR DISCIPLINE IN TODAY'S MARKET
Both market forces and our  stock-selection  criteria have made certain parts of
our portfolio  especially  attractive  going into 1997.  Our media  stocks,  for
example, appear to have bottomed out early in 1996's fourth quarter. They were a
drag on returns for most of the year, but now seem set for improved performance.


FIVE LARGEST STOCK HOLDINGS
Based on net assets as of 12-31-96
                                                  % OF NET
  SECURITY                     INDUSTRY            ASSETS
- --------------------------------------------------------------------------------
  Comcast Corporation          Media-Radio/TV        1.7%
  Class A
 ................................................................................
  Cox Communications, Inc.     Media-Radio/TV        1.6%
  Class A
 ................................................................................
  Unilever NV                  Food                  1.5%
 ................................................................................
  Seagate Technology Inc.      Computer-             1.5%
                               Peripheral Equipment
 ................................................................................
  CPC International, Inc.      Food                  1.4%
 ................................................................................

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

2

<PAGE>
Although  we don't  see quite as many  opportunities  now as we did at points in
1996, we are pleased with the prospects in some of the portfolio's main sectors.
Technology  is a good  example.  We  have  identified  companies  in  some  less
traditional  areas in this sector.  Should another  correction  hit  technology,
these are the types of stocks that may be insulated from the damage.

As we seek out the best  opportunities  in the year ahead, we will place renewed
emphasis on selecting high-quality  companies for the portfolio-those  companies
with  superior  management  teams  and  a  competitive  advantage  within  their
industry.  In a market full of lofty  valuations,  we feel it presents  too much
risk not to go with the best-quality companies.

Looking  for  high-quality  management  is  consistent  with  our  private-value
approach  to  investing.  We  evaluate  companies  as if we  were  contemplating
purchasing the entire firm, and determining the price we would be willing to pay
(its private-market  value). When a stock price does not reflect the strength of
this private  value- usually  because not many analysts are paying  attention to
the stock- we will consider adding it to the portfolio.


OTHER POTENTIAL AREAS OF EMPHASIS
Over the next six  months,  we may add to our  foreign  holdings.  One reason to
venture abroad is that prices in the U.S.  market are somewhat high. At the same
time, we are finding more suitable companies overseas.

We will be working to lower the Fund's median market capitalization. This figure
has moved up a little recently,  partly because of appreciation of the stocks in
the  portfolio  and partly  because of the nature of the  opportunities  we have
found.  By heightening our focus on smaller and mid-size firms, we plan to bring
Fund's market cap down from its year-end  level of $3.85  billion.  We intend to
keep the Fund in line with its historic character.

Thank you for your continued confidence,




/s/Richard T. Weiss
Richard T. Weiss
Portfolio Manager



/s/Marina T. Carlson
Marina T. Carlson
Portfolio Manager
[PHOTO OF RICHARD T. WEISS AND MARINA T. CARLSON]


- --------------------------------------------------------------------------------
                                                      AVERAGE ANNUAL
                                                     TOTAL RETURNS(1)
                                                      As of 12-31-96

                                                     1-YEAR    18.15%

                                                     3-YEAR    15.48%

                                            SINCE INCEPTION    18.94%
                                                (on 5-8-92)


GROWTH OF AN ASSUMED $10,000 INVESTMENT
From 5-8-92 to 12-31-96
[GRAPH]

                THE STRONG              S&P 500              Lipper Growth  
             SPECIAL FUND II          Stock Index*            Funds Index*   
4-92              10,000                 10,000                  10,000     
12-92             11,617                 10,680                  10,922     
12-93             14,541                 11,756                  12,230     
12-94             15,064                 11,912                  12,038     
12-95             18,953                 16,388                  15,969     
12-96             22,393                 20,151                  18,760     
                                                                               

This graph,  provided 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 ("S&P 500") and the Lipper Growth Funds Index.
Results   include  the   reinvestment   of  all   dividends  and  capital  gains
distributions.  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.  To equalize time periods,  the indexes'  performance  was
prorated for the month of May 1992.
- --------------------------------------------------------------------------------

*    The S&P 500 is an  unmanaged  index  generally  representative  of the U.S.
     stock  market,  without  regard to company  size.  The S&P MidCap 400 Stock
     Index is an unmanaged index generally  representative of the market for the
     stocks of mid-sized  U.S.  companies.  The Lipper  Growth Funds Index is an
     equally-weighted  performance  index of the  largest  funds in this  Lipper
     category.  Source of the S&P index data is  Micropal.  Source of the Lipper
     index data is Lipper Analytical Services, Inc.

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

                                                                               3
<PAGE>


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

                                                  SHARES OR      VALUE
                                                  PRINCIPAL    (NOTE 2)
                                                    AMOUNT   (In Thousands)
- --------------------------------------------------------------------------------
COMMON STOCKS 91.0%
AEROSPACE & DEFENSE 1.2%
Litton Industries, Inc. (b)                        155,000      $ 7,382

AIRLINE 0.2%
Air New Zealand, Ltd. Class B                      401,045        1,087

BANK - MONEY CENTER 2.4%
Bayerische Hypotheken- und Wechsel-Bank AG         110,000        3,323
Deutsche Bank AG                                    40,000        1,869
Hong Leong Finance, Ltd. (Fgn Reg)                 130,000          452
Toronto-Dominion Bank Ontario                      336,000        8,690
United Overseas Bank, Ltd.                          62,000          691
                                                                -------
                                                                 15,025
BANK - REGIONAL 2.2%
Mercantile Bancorporation, Inc.                    142,500        7,321
Old Kent Financial Corporation                     136,085        6,498
                                                                -------
                                                                 13,819
BANK - SUPER REGIONAL 2.7%
Barnett Banks, Inc.                                217,000        8,924
First Union Corporation                            107,000        7,918
                                                                -------
                                                                 16,842
BEVERAGE - SOFT DRINK 0.1%
Coca-Cola Amatil, Ltd.                              38,600          412

BROKERAGE & INVESTMENT MANAGEMENT 2.1%
Equity Residential Properties Trust                 80,000        3,300
Kimco Realty Corporation                           148,200        5,168
New Germany Fund, Inc.                              50,000          669
Security Capital Pacific Trust                     173,800        3,976
                                                                -------
                                                                 13,113
CHEMICAL 1.2%
IMC Global, Inc.                                   187,900        7,352

CHEMICAL - SPECIALTY 1.2%
Cabot Corporation                                  301,600        7,578

CLOSED-END FUND 0.1%
The Central European Growth Fund PLC               392,000          416
Jardine Fleming Fund                               416,000          170
                                                                -------
                                                                    586
COMMERCIAL SERVICE 1.1%
Reuters Holdings PLC ADR                            88,000        6,732

COMPUTER - PERIPHERAL EQUIPMENT 1.5%
Seagate Technology, Inc. (b)                       232,000        9,164

COMPUTER SOFTWARE 3.6%
Cabletron Systems, Inc. (b)                        210,000        6,982
Silicon Graphics, Inc. (b)                         342,000        8,721
Sybase, Inc. (b)                                   440,000        7,343
                                                                -------
                                                                 23,046
COMPUTER SYSTEMS 0.7%
Policy Management Systems Corporation (b)          100,000        4,613

CONGLOMERATE 0.2%
Guinness Peat Group PLC                            441,650          256
Hutchison Whampoa, Ltd. ADR                         18,000          702
Lonrho PLC                                         259,000          552
                                                                -------
                                                                  1,510
DIVERSIFIED OPERATIONS 1.2%
Whitman Corporation                                337,400        7,718

ELECTRIC POWER 1.4%
NIPSCO Industries, Inc.                            214,700        8,507

ELECTRICAL EQUIPMENT 1.2%
Keystone International, Inc.                       390,000        7,849

ELECTRONIC PARTS DISTRIBUTION 2.1%
Arrow Electronics, Inc. (b)                        152,000        8,132
Marshall Industries (b)                            165,000        5,053
                                                                -------
                                                                 13,185
ELECTRONIC PRODUCTS - MISCELLANEOUS 2.3%
AVX Corporation                                    358,600        7,710
Hubbell, Inc. Class B                              163,000        7,050
                                                                -------
                                                                 14,760
ELECTRONICS - SEMICONDUCTOR/
 COMPONENT 6.3%
Analog Devices, Inc. (b)                           232,000        7,859
Intel Corporation                                   63,000        8,249
KLA Instruments Corporation (b)                    224,300        7,963
SGS-Thomson Microelectronics (b)                   125,000        8,750
Texas Instruments, Inc.                            114,000        7,267
                                                                -------
                                                                 40,088
ENERGY - ALTERNATE SOURCE 1.2%
Calpine Corporation (b)                            380,000        7,600

ENGINEERING & CONSTRUCTION 0.1%
Italian-Thai Development PCL (Fgn Reg)              43,000          275
Siam Cement PCL (Fgn Reg)                            8,000          251
Walker Corporation                                 340,000          235
                                                                -------
                                                                    761
FINANCE - MISCELLANEOUS 0.0%
Finance One PCL (Fgn Reg)                          100,000          203

FOOD 4.2%
CPC International, Inc.                            115,400        8,944
Nestle SA Sponsored ADR                            158,000        8,433
Unilever NV                                         53,500        9,376
                                                                -------
                                                                 26,753
HEALTHCARE - DRUG/DIVERSIFIED 1.1%
Zeneca Group PLC                                   250,000        7,051

HEALTHCARE - INSTRUMENTATION 1.2%
Sofamor/Danek Group, Inc. (b)                      245,000        7,473

HEALTHCARE - MEDICAL SUPPLY 2.6%
McKesson Corporation                               141,500        7,924
Sybron International Corporation (b)               255,000        8,415
                                                                -------
                                                                 16,339
HEALTHCARE - PATIENT CARE 1.1%
Tenet Healthcare Corporation                       306,800        6,711

HOUSEHOLD APPLIANCES & FURNISHINGS 0.3%
Philips Electronics NV ADR                          54,000        2,160

HOUSING RELATED 1.4%
Owens Corning                                      201,400        8,585

INSURANCE - PROPERTY & CASUALTY 2.4%
ACE, Ltd.                                          129,500        7,786
American International Group, Inc.                  70,000        7,578
                                                                -------
                                                                 15,364
LEISURE PRODUCT 1.1%
Eastman Kodak Company                               89,000        7,142

MEDIA - PUBLISHING 1.0%
The E.W. Scripps Company Ohio Class A              178,300        6,240

MEDIA - RADIO/TV 6.9%
Bell Cablemedia PLC ADR (b)                        361,700        5,606
Comcast Corporation Class A                        615,011       10,955
Cox Communications, Inc. Class A (b)               425,900        9,849
TCI Satellite Entertainment, Inc. (b)               56,000          553
Tele Communications, Inc. Class A (b)              585,000        7,642
Tele Communications, Inc. Liberty Media
 Group Series A (b)                                310,000        8,854
                                                                -------
                                                                 43,459

                       See notes to financial statements.

4
<PAGE>
- --------------------------------------------------------------------------------

                                                  SHARES OR      VALUE
                                                  PRINCIPAL    (NOTE 2)
                                                    AMOUNT  (In Thousands)
- --------------------------------------------------------------------------------
METALS & MINING 1.2%
Freeport-McMoRan Copper & Gold, Inc. Class A       257,700     $  7,248
Minsur SA                                          110,496          383
                                                               --------
                                                                  7,631
OIL - NORTH AMERICAN EXPLORATION
 & PRODUCTION 7.8%
Barrett Resources Corporation (b)                  180,600        7,698
Burlington Resources, Inc.                         144,000        7,254
Devon Energy Corporation                           255,400        8,875
Enron Oil & Gas Company                            292,000        7,373
H S Resources, Inc. (b)                            277,000        4,571
Union Pacific Resources Group, Inc.                292,000        8,541
United Meridian Corporation (b)                     99,500        5,149
                                                               --------
                                                                 49,461
OIL WELL EQUIPMENT & SERVICE 2.3%
Baker Hughes, Inc.                                 200,000        6,900
BJ Services Company (b)                            150,000        7,650
                                                               --------
                                                                 14,550
PAPER & FOREST PRODUCTS 2.8%
Fletcher Challenge, Ltd. Forestry Division         566,000          947
The Mead Corporation                               140,000        8,137
Willamette Industries, Inc.                        126,000        8,773
                                                               --------
                                                                 17,857
PRECIOUS METAL/GEM/STONE 2.0%
De Beers Consolidated Mines, Ltd. ADR              240,000        6,780
Newmont Mining Company                             125,300        5,607
                                                               --------
                                                                 12,387
RAILROAD 0.8%
Canadian National Railway Company                  141,200        5,366

REAL ESTATE 0.0%
Land & House PCL (Fgn Reg)                          28,800          210

RETAIL - DEPARTMENT STORE 0.9%
May Department Stores Company                      127,300        5,951

RETAIL - FOOD CHAIN 2.0%
Albertson's, Inc.                                  154,400        5,501
The Kroger Company (b)                             150,200        6,984
                                                               --------
                                                                 12,485
RETAIL - MAJOR CHAIN 1.2%
Sears Canada, Inc.                                 211,500        1,574
Toys 'R' Us, Inc. (b)                              204,000        6,120
                                                               --------
                                                                  7,694
RETAIL - RESTAURANT 0.7%
Brinker International, Inc. (b)                    290,000        4,640

RETAIL - SPECIALTY 1.6%
The Limited, Inc.                                  305,600        5,615
OfficeMax, Inc. (b)                                432,000        4,590
                                                               --------
                                                                 10,205
SHIPPING 0.1%
Anangel American Shipholdings, Ltd. ADR             51,100          409

SHOE & APPAREL MANUFACTURING 1.3%
Warnaco Group, Inc. Class A                        285,000        8,443

STEEL 0.1%
Companhia Vale do Rio Doce Sponsored ADR            30,000          582

TELECOMMUNICATION SERVICE 5.4%
AirTouch Communications, Inc. (b)                  305,000        7,701
MCI Communications Corporation                     168,000        5,491
Mobilemedia Corporation (b)                        267,800          117
Omnipoint Corporation (b)                          275,000        5,294
Paging Network, Inc. (b)                           450,500        6,870
U.S. West, Inc. Media Group (b)                    457,000        8,454
                                                               --------
                                                                 33,927

TELEPHONE 1.2%
Telephone & Data Systems, Inc.                     205,000        7,431
                                                               --------
TOTAL COMMON STOCKS (COST $480,155)                             575,438

SHORT-TERM INVESTMENTS (a) 9.1%
COMMERCIAL PAPER
DISCOUNTED 8.9%
ConAgra, Inc., Due 1/08/97                         $20,400       20,380
Financial Federal Corporation, Due 1/06/97           5,000        4,997
Pennsylvania Power & Light Company, Due 1/06/97      1,700        1,699
RJR Nabisco, Inc., Due 1/02/97                       5,900        5,900
Tupperware Corporation, Due 1/02/97                  8,000        8,000
U.S. West Capital Funding, Inc.:
 Due 1/09/97 (Cost $3,784; Acquired 12/13/96) (c)    3,800        3,796
 Due 1/10/97 (Cost $11,248; Acquired 12/12/96) (c)  11,300       11,285
                                                               --------
                                                                 56,057
INTEREST BEARING, DUE UPON DEMAND 0.2%
American Family Financial Services, Inc., 5.51%         29           29
Johnson Controls, Inc., 5.53%                          913          913
Warner Lambert Company, 5.48%                          297          297
Wisconsin Electric Power Company, 5.55%                 61           61
                                                               --------
                                                                  1,300
                                                               --------
TOTAL SHORT-TERM INVESTMENTS
(COST $57,357)                                                   57,357
                                                               --------
TOTAL INVESTMENTS IN SECURITIES
(COST $537,512) 100.1%                                          632,795
Other Assets and Liabilities, Net (0.1%)                           (854)
                                                               --------
NET ASSETS 100.0%                                              $631,941
                                                               ========


                                                  PERCENTAGE OF
COUNTRY DIVERSIFICATION                            NET ASSETS
- ----------------------------------------------------------------
United States .........................................85.5%
United Kingdom .........................................3.2
Canada .................................................2.5
Netherlands ............................................1.8
France .................................................1.4
Switzerland ............................................1.3
Bermuda ................................................1.2
South Africa ...........................................1.1
Germany ................................................0.9
New Zealand ............................................0.4
Singapore ..............................................0.2
Australia ..............................................0.1
Brazil .................................................0.1
Hong Kong ..............................................0.1
Luxembourg .............................................0.1
Peru ...................................................0.1
Thailand ...............................................0.1
Other Assets and Liabilities, Net .....................(0.1)
                                                     ------ 
Total                                                100.0%
                                                     ====== 


LEGEND
- ------
(a) Short-term  investments  include any security  which has a maturity of less
    than one year.
(b) Non-income producing security.
(c) Restricted security.

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


                       See notes to financial statements.
                                                                               5

<PAGE>


STATEMENT OF OPERATIONS
- --------------------------------------------------------------------------------
For the Year Ended December 31, 1996                              (In Thousands)

INCOME:
   Dividends                                                          $ 6,900
   Interest                                                             3,689
                                                                      -------
   Total Income                                                        10,589

EXPENSES:
   Investment Advisory Fees                                             5,515
   Custodian Fees                                                         127
   Shareholder Servicing Costs                                            648
   Other                                                                  172
                                                                      -------
   Total Expenses                                                       6,462
                                                                      -------
NET INVESTMENT INCOME                                                   4,127

REALIZED AND UNREALIZED GAIN (LOSS):
   Net Realized Gain (Loss) on:
     Investments                                                       63,805
     Futures Contracts and Forward Foreign Currency Contracts          (2,248)
     Foreign Currencies                                                     1
   Change in Unrealized Appreciation/Depreciation on:
     Investments                                                       27,498
     Forward Foreign Currency Contracts                                  (236)
     Foreign Currencies                                                    (4)
                                                                      ------- 

NET GAIN                                                               88,816
                                                                      -------

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                  $92,943
                                                                      =======

                       See notes to financial statements.

6
<PAGE>



STATEMENT OF ASSETS AND LIABILITIES
- --------------------------------------------------------------------------------
December 31, 1996
                                        (In Thousands, Except Per Share Amounts)

ASSETS:
   Investments in Securities, at Value (Cost of $537,512)         $632,795
   Receivable from Brokers for Securities Sold                         529
   Dividends and Interest Receivable                                   628
   Other Assets                                                        724
                                                                  --------
   Total Assets                                                    634,676

LIABILITIES:
   Payable to Brokers for Securities Purchased                       2,076
   Accrued Operating Expenses and Other Liabilities                    659
                                                                  --------
   Total Liabilities                                                 2,735
                                                                  --------
NET ASSETS                                                        $631,941
                                                                  ========

Capital Shares Outstanding (Unlimited Number Authorized)            32,844

NET ASSET VALUE PER SHARE                                           $19.24
                                                                    ======





<TABLE>


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


                                                                   (In Thousands)
<CAPTION>
                                                           YEAR ENDED        YEAR ENDED
                                                          DEC. 31, 1996     DEC. 31, 1995
                                                          -------------     -------------
OPERATIONS:
<S>                                                         <C>              <C>     
   Net Investment Income                                    $  4,127         $  2,865
   Net Realized Gain                                          61,558           19,655
   Change in Unrealized Appreciation/Depreciation             27,258           63,868
                                                            --------         --------
   Increase in Net Assets Resulting from Operations           92,943           86,388

CAPITAL SHARE TRANSACTIONS                                   110,102           82,495

DISTRIBUTIONS:
   From Net Investment Income                                 (4,127)          (2,874)
   In Excess of Net Investment Income                            (28)            (848)
   From Net Realized Gains                                   (19,322)         (13,221)
                                                            --------         -------- 
TOTAL INCREASE IN NET ASSETS                                 179,568          151,940

NET ASSETS:
   Beginning of Period                                       452,373          300,433
                                                            --------         --------
   End of Period                                            $631,941         $452,373
                                                            ========         ========

                                 See notes to financial statements.
</TABLE>

                                                                               7
<PAGE>


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

1.   ORGANIZATION     
     The Strong  Special  Fund II, Inc. is a  diversified,  open-end  management
     investment company registered 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 -- Portfolio  securities  traded  primarily  on  a
          principal  securities  exchange are valued at the last reported  sales
          price or the mean  between  the latest bid and asked  prices  where no
          last sales price is available.  Securities traded over-the-counter are
          valued  at the mean of the  latest  bid and  asked  prices or the last
          reported  sales  price.  Debt  securities  not  traded on a  principal
          securities  exchange  are valued  through  valuation  obtained  from a
          commercial  pricing  service,  otherwise  sale or bid prices are used.
          Securities for which market quotations are not readily available, when
          held by the Fund, are valued at fair value as determined in good faith
          under  consistently  applied  procedures  established by and under the
          general  supervision of the Board of Directors.  Securities  which are
          purchased  within  60 days of their  stated  maturity  are  valued  at
          amortized cost, which approximates current value.

          The Fund may own 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 generally
          bears the costs, if any, associated with the disposition of restricted
          securities.   Aggregate  cost  and  fair  value  of  these  restricted
          securities  held at December 31, 1996 were (in thousands)  $15,032 and
          $15,081,  respectively,  representing  2.4% of the net  assets  of the
          Fund.

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

          The  character  of  distributions   made  during  the  year  from  net
          investment   income  or  net  realized   gains  may  differ  from  the
          characterization for Federal income tax purposes due to differences in
          the  recognition  of income and expense items for financial  statement
          and tax purposes.  Where  appropriate,  reclassifications  between net
          asset  accounts are made for such  differences  that are  permanent in
          nature.

     (C)  Realized  Gains and  Losses  on  Investment  Transactions  -- Gains or
          losses realized on investment transactions are determined by comparing
          the  identified  cost of the  security  lot sold  with  the net  sales
          proceeds.

     (D)  Futures -- Upon entering into a futures contract,  the Fund pledges to
          the broker cash or other  investments  equal to the  minimum  "initial
          margin"  requirements of the exchange.  The Fund also 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 as  unrealized  gains or losses.
          When the  futures  contract  is  closed,  a  realized  gain or loss is
          recorded 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.

     (E)  Options --  Premiums  received  by the Fund upon  writing  put or call
          options are recorded 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  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.

     (F)  Foreign Currency Translation -- Investment securities and other assets
          and  liabilities   initially   expressed  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)  Forward  Foreign  Currency  Exchange   Contracts  --  Forward  foreign
          currency  exchange  contracts  are valued at the forward  rate and are
          marked-to-market  daily.  The change in market value is recorded as an
          unrealized gain or loss. When the contract is closed, the Fund records
          an exchange 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.


8
<PAGE>
- --------------------------------------------------------------------------------

     (H)  Additional  Investment Risk -- The use of futures contracts,  options,
          foreign   denominated   assets,   forward  foreign  currency  exchange
          contracts  and other similar  instruments  for purposes of hedging the
          Fund's investment portfolio involves, to varying degrees,  elements of
          market risk in excess of the amount  recognized  in the  statement  of
          assets and liabilities. The predominant risk with futures contracts is
          an imperfect  correlation  between the value of the  contracts and the
          underlying securities.  Foreign denominated assets and forward foreign
          currency  exchange  contracts may involve  greater risks than domestic
          transactions,  including currency, political and economic,  regulatory
          and market risks.

     (I)  Use of  Estimates  --  The  preparation  of  financial  statements  in
          conformity  with generally  accepted  accounting  principles  requires
          management to make estimates and assumptions  that affect the reported
          amounts of assets and liabilities and disclosure of contingent  assets
          and  liabilities  at the  date of the  financial  statements,  and the
          reported  amounts  of  increases  and  decreases  in net  assets  from
          operations  during the reporting  period.  Actual results could differ
          from those estimates.

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

3.   NET ASSETS
     Net assets as of December 31, 1996 were as follows (in thousands):

     Capital Stock                                         $476,362
     Undistributed Net Investment Income                        223
     Undistributed Net Realized Gain                         60,077
     Net Unrealized Appreciation                             95,279
                                                           --------
                                                           $631,941
                                                           ========

4.   CAPITAL SHARE TRANSACTIONS     
     Transactions  in shares of the Fund for the years ended  December  31, 1996
     and 1995 were as follows (in thousands):

                                       1996                       1995
                                       ----                       ----
                                Shares     Dollars          Shares    Dollars
                                ------     -------          ------    -------
     Shares Sold                11,817    $209,746         9,208      $141,211
     Dividends Reinvested        1,354      23,469         1,159        16,936
     Shares Redeemed            (6,881)   (123,113)       (4,931)      (75,652)
                                 -----    --------         -----      -------- 
                                 6,290    $110,102         5,436      $ 82,495
                                 =====    ========         =====      ========

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 to the Fund.  Investment  advisory fees,  which are established by
     terms of the 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.

     The amount  payable to the  Advisor at December  31, 1996 and  unaffiliated
     directors' fees for 1996 were (in thousands) $535 and $9, respectively.

6.   INVESTMENT TRANSACTIONS
     The  aggregate  purchases  and sales of long-term  securities  for the year
     ended  December  31,  1996  were  (in  thousands)  $530,260  and  $434,104,
     respectively.

7.   INCOME TAX INFORMATION
     At December 31, 1996, the investment cost,  gross  unrealized  appreciation
     and  depreciation  on  investments  for Federal income tax purposes were as
     follows (in thousands):

     Aggregate Investment Cost                $538,294
                                              ========
     Aggregate Unrealized:
       Appreciation                           $112,221
       Depreciation                            (17,720)
                                              -------- 
                                              $ 94,501
                                              ========

     For corporate  shareholders  in the Fund, the percentage of dividend income
     distributed  for the year ended  December 31, 1996 which is  designated  as
     qualifying for the dividends-received deduction is 22.9%.

                                                                               9
<PAGE>

<TABLE>

FINANCIAL HIGHLIGHTS
- ---------------------------------------------------------------------------------------------------------------------------

<CAPTION>

                                                     12-31-96    12-31-95   12-31-94   12-31-93  12-31-92(b)
                                                     --------    --------   --------   --------  -----------
SELECTED PER-SHARE DATA(a)
- --------------------------
<S>                                                   <C>        <C>        <C>        <C>        <C>     
NET ASSET VALUE, BEGINNING OF PERIOD                  $  17.04   $  14.23   $  14.12   $  11.33   $  10.00
INCOME FROM INVESTMENT OPERATIONS:
   Net Investment Income                                  0.13       0.12       0.11       0.06       0.02
   Net Realized and Unrealized Gains on Investments       2.87       3.42       0.41       2.79       1.57
                                                      --------   --------   --------   --------   --------
Total from Investment Operations                          3.00       3.54       0.52       2.85       1.59
LESS DISTRIBUTIONS:
   From Net Investment Income                            (0.13)     (0.12)     (0.11)     (0.06)     (0.02)
   In Excess of Net  Investment Income                      --      (0.03)       --          --         --
   From Net Realized Gains                               (0.67)     (0.58)     (0.30)        --      (0.24)
                                                      --------   --------   --------   --------   -------- 
Total Distributions                                      (0.80)     (0.73)     (0.41)     (0.06)     (0.26)
                                                      --------   --------   --------   --------   -------- 
NET ASSET VALUE, END OF PERIOD                        $  19.24   $  17.04   $  14.23   $  14.12   $  11.33
                                                      ========   ========   ========   ========   ========

TOTAL RETURN                                            +18.2%     +25.8%      +3.6%     +25.2%     +16.2%

RATIOS AND SUPPLEMENTAL DATA
- ----------------------------
Net Assets, End of Period (In Thousands)              $631,941   $452,373   $300,433   $151,206   $ 26,649
Ratio of Expenses to Average Net Assets                   1.2%       1.2%       1.1%       1.1%       1.6%*
Ratio of Net Investment Income to Average Net Assets      0.7%       0.8%       0.9%       0.5%       0.3%*
Portfolio Turnover Rate                                  89.8%      91.1%      74.8%     103.1%     249.5%
Average Commission Rate Paid(c)                       $ 0.0505

  * Calculated on an annualized basis.
(a) Information presented relates to a share of capital stock of the Fund outstanding for the entire period.
(b) Inception date is May 8, 1992.  Total return and portfolio turnover rate are not annualized.
(c) Disclosure required, effective for reporting periods beginning after September 1, 1995.

</TABLE>

10
<PAGE>


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

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

We have audited the  accompanying  statement of assets and liabilities of Strong
Special Fund II, Inc.,  including the schedule of investments in securities,  as
of December 31, 1996, and the related  statement of operations for the year then
ended,  the  statements  of  changes  in net assets for each of 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, 1996 by  correspondence  with the custodians 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 Strong
Special Fund II, Inc. as of December 31, 1996, 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 3, 1997



                                                                              11
<PAGE>

NOTES
- --------------------------------------------------------------------------------




12


<PAGE>


                                 [STRONG LOGO]
                        STRONG FUNDS DISTRIBUTORS, INC.
                                 P.O. Box 2936
                           Milwaukee, Wisconsin 53201
                          http://www.strong-funds.com
                  Strong Funds are offered by prospectus only.

     

                                                                         4623A97





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