KEMPER GROWTH FUND
N-30D, 1996-06-07
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<PAGE>   1
KEMPER GROWTH FUND
 
SEMIANNUAL REPORT TO SHAREHOLDERS
FOR THE PERIOD ENDED MARCH 31, 1996

Seeking growth of capital through diversification of investment securities
having potential for capital appreciation

            "..This environment emphasized the importance of strong
                            research and discipline
                       on both the buy and sell sides..."
<PAGE>   2
Table of
Contents
2
Terms to Know
3
General
Economic Overview
5
Performance Update
7
Industry Sectors
8
Individual Holdings
9
Portfolio of
Investments
12
Financial Statements
14
Notes to
Financial Statements
18
Financial Highlights

At a Glance
- -------------------------------------------------------------------------------
KEMPER GROWTH FUND
TOTAL RETURNS
- -------------------------------------------------------------------------------
FOR THE SIX-MONTHS ENDED MARCH 31, 1996 (UNADJUSTED FOR ANY SALES CHARGE)
 
                                 [BAR GRAPH]


<TABLE>
<S>                  <C>
- -------------------------------------------------------------------------------
Class A              9.34%
- -------------------------------------------------------------------------------
Class B              8.75%
- -------------------------------------------------------------------------------
Class C              8.88%
- -------------------------------------------------------------------------------
Lipper Growth
 Funds Category
 Average*            7.92%
- -------------------------------------------------------------------------------
</TABLE>

 
Returns are historical and do not represent future performance. Returns and net
asset value fluctuate. Shares are redeemable at current net asset value, which
may be more or less than original cost.

*Lipper Analytical Services, Inc. returns and rankings are based upon changes in
net asset value with all dividends reinvested and do not include the effect of
sales charges and, if they had, results may have been less favorable. Returns
and rankings are historical and do not reflect future performance.

<TABLE>
<CAPTION>
- -------------------------------------------------------------------------------
 NET ASSET VALUE
- -------------------------------------------------------------------------------
                                                  AS OF     AS OF
                                                 3/31/96   9/30/95
- -------------------------------------------------------------------------------
<S>                                             <C>       <C>
KEMPER GROWTH FUND CLASS A                       $15.73    $16.07
- -------------------------------------------------------------------------------
KEMPER GROWTH FUND CLASS B                       $15.44    $15.85
- -------------------------------------------------------------------------------
KEMPER GROWTH FUND CLASS C                       $15.48    $15.87
- -------------------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
- -------------------------------------------------------------------------------
 KEMPER GROWTH FUND
 LIPPER RANKINGS*
- -------------------------------------------------------------------------------
Compared to all other funds in the Lipper Growth Funds Category
 
                    CLASS A      CLASS B      CLASS C
 <S>               <C>          <C>          <C>
- -------------------------------------------------------------------------------
1-YEAR              #292 OF      #349 OF      #340 OF
                   584 FUNDS    584 FUNDS    584 FUNDS
- -------------------------------------------------------------------------------
5-YEAR              #186 OF        N/A          N/A
                   241 FUNDS
- -------------------------------------------------------------------------------
10-YEAR              #44 OF        N/A          N/A
                   156 FUNDS
- -------------------------------------------------------------------------------
15-YEAR             #44 OF         N/A          N/A
                  109 FUNDS
- -------------------------------------------------------------------------------
20-YEAR             #33 OF         N/A          N/A
                  101 FUNDS
- -------------------------------------------------------------------------------
</TABLE>
 
- -------------------------------------------------------------------------------
 DIVIDEND REVIEW
- -------------------------------------------------------------------------------
 
During the period, Kemper Growth Fund paid the following dividends:
 
<TABLE>
<CAPTION>
                       CLASS A   CLASS B   CLASS C
- -------------------------------------------------------------------------------
<S>                    <C>       <C>       <C>
INCOME DIVIDEND:       $0.035        --        --
- -------------------------------------------------------------------------------
SHORT TERM CAPITAL
GAIN:                  $0.42      $0.42     $0.42
- -------------------------------------------------------------------------------
LONG TERM CAPITAL
GAIN:                  $1.26      $1.26     $1.26
- -------------------------------------------------------------------------------
</TABLE>
 
- -------------------------------------------------------------------------------
TERMS TO KNOW
- -------------------------------------------------------------------------------

CAPITALIZATION The value of a corporation as determined by the market price of
its issued and outstanding common stock. It is calculated by multiplying the
number of outstanding shares by the current market price of a share.
 
TOTAL RETURN A fund's total return figure measures both the net investment
income and any realized and unrealized appreciation or depreciation of the
underlying investments in its portfolio for the period, assuming the
reinvestment of all dividends. It represents the aggregate percentage or dollar
value change over the period.
<PAGE>   3
GENERAL ECONOMIC OVERVIEW
[TIMBERS PHOTO]

Stephen B. Timbers is president, chief executive and chief investment officer
of Zurich Kemper Investments, (ZKI) Inc. ZKI and its affiliates manage
approximately $79 billion in assets, including $45 billion in retail mutual
funds. Timbers is a graduate of Yale University and holds an M.B.A. from        
Harvard University.
 
DEAR SHAREHOLDER:
 
The first four months of 1996 have provided a few surprises. As the year began,
most of us expected sluggish economic and corporate growth -- which the Federal
Reserve Board would address by reducing short-term interest rates. Yet, what we
experienced was stronger-than-anticipated economic growth, better corporate
earnings and rising interest rates. Although such surprises unsettled the bond
market, the stock market followed a spectacular 1995 with a strong first quarter
in 1996. In the three-month period ended March 31, 1996, the Standard & Poor's
500 Stock Index* gained 5.37 percent.

  Where is the economy headed now? Its direction is even less predictable as we
draw nearer to the November elections. Half of the country's leading economists
are forecasting 3 percent growth while an equal number are looking for no better
than 1 percent growth. At Kemper Funds, we suspect that the economy is growing
at a subpar rate of 2 percent. Although commodity prices may suggest otherwise,
we think inflation is holding at less than 3 percent. We see no reason to expect
the Fed to reduce rates to stimulate growth but neither is it likely to raise
rates to control growth. In an environment of stable or gently rising rates, we
would expect corporate earnings to grow at a rate of about 7 to 8 percent --
that's somewhat higher than we believed likely at the start of the year.

  Our forecast calls for a generally comfortable environment for investors. But
both the economy and the general direction of the markets are due for a
reversal. In April, the U.S. economy entered its 61st month of consecutive
growth. This is the longest expansion without a single quarter of negative
output growth since George Washington was president. Today's bull market started
in October 1990, which makes it one of the longest running bull markets in
history. By virtue of its length alone, the stock market is vulnerable to a
correction.

  As expected, volatility has returned to the market this year. For example: The
stock market's performance on March 8, the date that a surprisingly strong
employment report was released, betrayed some level of investor skittishness.
But while the Standard & Poor's lost 3.1 percent that day, it quickly regained
the ground and moved higher.

 
                          CONSUMERS AND JOB SECURITY
 
  The restructuring of corporate America, which is generally credited for its
improved profitability, has been an important influence on the consumer.
Economic growth is heavily dependent upon consumer spending which, in turn, is
a function of inflation, pay raises and fear of job loss. While the first two
have not been a recent concern, fear of losing one's job has dampened consumer
confidence.
  Such anxiety in the workplace was the subject of a recent study by the
Council of Economic Advisors. According to that report, more than two-thirds of
the new jobs created in the United States in 1994 and 1995 paid better than the
average job. The report found that the rate at which jobs were eliminated has
risen slightly despite strong economic growth of recent years -- however, it
reported that the length of time most workers spent unemployed has declined.
  The graph below tracks Bureau of Labor Statistics data that show the recent
relationship between number of jobs created versus the number of jobs lost.


                                 [LINE GRAPH]
                                      
<TABLE>
<S>                                   <C>      <C>              
12/31/90                              -0.06    -0.02            
12/31/91                              -0.3      0.04            
12/31/92                               0.12    -0.03            
12/31/93                               0.3      0.07            
12/31/94                               0.18     0.07            
12/31/95                              -0.08    -0.04            
 3/31/96                               0.49    -0.01            
</TABLE>                                                        
 



                                                                              3
<PAGE>   4
GENERAL ECONOMIC OVERVIEW

- --------------------------------------------------------------------------------
ECONOMIC GUIDEPOSTS 
- --------------------------------------------------------------------------------

Economic activity is a key influence on investment performance and shareholder
decision-making. Periods of recession or boom, inflation or deflation, credit
expansion or credit crunch have a significant impact on mutual fund
performance.
  The following are some significant guideposts and their investment rationale
that may help your investment decision-making. The 10-year Treasury rate and
the prime rate are prevailing interest rates. The other data report
year-to-year percentage changes.

                                 [BAR GRAPH]


<TABLE>
<CAPTION>
                             Now (3/31/96)    6 Months ago    1 year ago     2 years ago 
<S>                          <C>              <C>             <C>            <C>
10-year Treasury rate (1)         6.27            6.04            7.06           6.97
Prime rate(2)                     8.25            8.75            9.00           6.45
Inflation rate(3)                 2.84            2.81            3.05           2.36
The U.S. dollar(4)                4.53           -1.05          -11.46           2.70
Capital goods orders(5)           6.24            8.53            9.44          20.01
Industrial production(6)          1.32            1.92            3.89           5.17
Employment growth(7)              1.44            1.80            2.60           2.93
</TABLE>

1 Falling interest rates in recent years have been a big plus for financial
  assets.

2 The interest rate that commercial lenders charge their best borrowers.

3 Inflation reduces an investor's real return. In the last five years, inflation
  has been as high as 6%. The low, moderate inflation of the last few years has
  meant high real returns.

4 Changes in the exchange value of the dollar impact U.S. exporters and the
  value of U.S. firms' foreign profits.

5 These influence corporate profits and equity performance.

6 An influence on corporate profits and equity performance.

7 An influence on family income and retail sales.

SOURCE: ECONOMICS DEPARTMENT, ZURICH KEMPER INVESTMENTS, INC.

  Such ebb and flow is to be expected in investing, especially at this point in
the cycle. Attempting to "prepare" for a correction is futile, we believe. Those
whose caution caused them to excuse themselves from the market early this year,
for example, would have forgone the quarter's significant gain.

  Several opportunities exist today for the careful investor. First, having
settled down some from a raucous 1995, the technology sector continues to enjoy
the product and market demand that make it the dominant sector of the 1990s.
Second, equity investors willing to look overseas may find opportunities in
countries whose economies today are at a point where the U.S. economy was in
1995. Our forecast assumes that strength in foreign markets could boost those
countries' currencies, which would weaken the value of the dollar.

  We expect the fixed-income markets to continue to be sensitive to interest
rate and inflation news. However, for as long as economic growth is positive and
earnings are growing, we believe the high-yield market is one market segment
that has significant potential.

  Finally, we look for political activity to have less and less bearing on the
markets' performance. Although they may continue to debate tax reform, federal
budget deficit reduction and health care reform, the incumbent legislators are
running out of time to take action before the November elections. If there is
any suspense by November, it is likely to be in whether the Republicans can
retain control of Congress. Their success would make a balanced budget and tax
reform likely agenda topics for 1997.

  With that as an economic backdrop, we encourage you to read the following
detailed report of your fund, including an interview with your fund's portfolio
management. Thank you for your continued support. We appreciate the opportunity
to serve your investment needs.
 
Sincerely,
 
 
/s/ STEPHEN B. TIMBERS
PRESIDENT, CHIEF INVESTMENT AND EXECUTIVE OFFICER
ZURICH KEMPER INVESTMENTS, INC.
 
April 29, 1996
 
*THE STANDARD & POOR'S 500 STOCK INDEX IS AN UNMANAGED INDEX GENERALLY
 REPRESENTATIVE OF THE U.S. STOCK MARKET.
 
4
<PAGE>   5
PERFORMANCE UPDATE

[REYNOLDS PHOTO]

STEVEN H. REYNOLDS, EXECUTIVE VICE PRESIDENT AND CHIEF INVESTMENT OFFICER FOR
EQUITY INVESTMENTS OF ZURICH KEMPER INVESTMENTS, INC. (ZKI), AND THE EQUITY
INVESTMENT COMMITTEE ARE CURRENTLY MANAGING THE KEMPER GROWTH FUND. REYNOLDS
JOINS ZKI WITH NEARLY 30 YEARS OF INVESTMENT MANAGEMENT EXPERIENCE. HE HOLDS AN
M.B.A. IN FINANCE FROM THE UNIVERSITY OF VIRGINIA AND A B.A. IN ECONOMICS FROM
JOHNS HOPKINS UNIVERSITY.

THE VIEWS EXPRESSED IN THIS REPORT REFLECT THOSE OF THE PORTFOLIO MANAGER ONLY
THROUGH THE END OF THE PERIOD OF THE REPORT, AS STATED ON THE COVER. THE
MANAGER'S VIEWS ARE SUBJECT TO CHANGE AT ANY TIME, BASED
ON MARKET AND OTHER CONDITIONS.
 
STEVE REYNOLDS, CHIEF INVESTMENT OFFICER OF EQUITIES AND ACTING PORTFOLIO
MANAGER OF KEMPER GROWTH FUND, DISCUSSES HOW THE FUND WAS POSITIONED FOR A
CHANGING MARKET ENVIRONMENT.
 
Q.   HOW WOULD YOU CHARACTERIZE THE MARKET OVER THE LAST SIX MONTHS?
 
A.   Rotational and increasingly volatile. Following the market's strong
performance through the first three quarters of 1995, investors began to
recognize that valuations had become extended for a great many issues. Fearing
a slowdown in earnings growth and a general correction in the market, investors
began moving from sector to sector looking for undervalued companies and
opportunities for additional growth. A sector would be favored for a few weeks,
then be left in the cold. This  translated into volatility -- strong price
moves both up and down -- for a number of stocks and sectors. This environment
emphasized the importance of strong research and discipline on both the buy and
sell sides.

Q.   WHAT KIND OF ADJUSTMENTS DID YOU MAKE TO THE PORTFOLIO?

A.   We were very active as themarket shifted -- adding to selected positions
on weakness and selling others after strong runups or when they'd reached our
established price targets. The challenge was to recognize where the new
opportunities were, and our research and valuation models were effective in
doing that.
 
     Late last year we anticipated a modest acceleration in the economy
through the first half of 1996. With that in mind, we broadened the portfolio
to include exposure to more economically-sensitive issues like retail
(Federated Department Stores, Wal-Mart Stores, Viking Office Products), oil
(Enron Oil & Gas Co., Union Texas Petroleum Holdings), housing-related stocks
(Armstrong World Industries, Shaw Industries, Georgia-Pacific, Home Depot) and
selected industrial cyclical issues (Praxair, Air Products & Chemicals, York
International Corp.). These are sectors one would expect to outperform in a
period of strong economic growth. And, over the past few months, they've
contributed some solid gains.
 
     Early in the fourth quarter, we'd reduced our technology exposure --
particularly among some of the larger cap stocks -- based on the high
valuations we were seeing in most subsectors. However, despite our reductions,
the correction that occurred among technology stocks in late '95 still hurt us
a bit. More recently, however, we've added to some selected technology
positions as valuations became more attractive. Although we'll probably see
more uncertainty with regard to this sector in the coming months, some of these
companies offer excellent long-term growth potential.
 
<PAGE>   6
PERFORMANCE UPDATE
 
     Similar activity occurred with our health care and consumer non-durable
positions. After enjoying some meaningful outperformance, we trimmed a number of
those stocks during the fourth quarter of 1995. However, as the market chased
cyclical growth plays during early 1996, these companies were left behind. As a
result, we've been able to add to or re-establish positions in quality companies
at very attractive prices. In health care, we own a fairly broad range of stocks
including several pharmaceutical companies (Sandoz Ltd., Pfizer Inc.), medical
device manufacturers (Medtronic Inc.) and a few health care providers (United
Healthcare, U.S. Healthcare). Among consumer non-durables, we like classic
growth stocks like Kimberly-Clark, Johnson & Johnson and Procter & Gamble Co.
 
Q.   IN TERMS OF SECTOR ALLOCATION, WHAT WERE THE BIGGEST CHANGES OVER THE 
PAST SIX MONTHS?
 
A.   The most notable change has been an increase in our exposure to 
economically-sensitive stocks -- particularly basic industries and energy. In
both sectors, we're overweighted relative to our benchmark, the Russell
1000 Growth Index. Conversely, we've reduced exposure to technology, as well as
financials. Nevertheless, our health care and financial positions are still
overweighted relative to the index. (See page 7 for a comparison of the fund's
sector allocations as of March 31, 1996 and September 30, 1995, and with the
Russell 1000 Growth Index.)
 
Q.   YOU MAINTAINED A RATHER HIGH POSITION IN CASH AND SHORT-TERM INSTRUMENTS 
THROUGH MOST OF THE REPORTING PERIOD. DID THIS REFLECT A BEARISH OUTLOOK ON
YOUR PART? HOW DID IT AFFECT FUND PERFORMANCE?
 
A.   The high cash position was in response to a fully-valued market rather 
than a bearish economic outlook. We reached a point in late 1995 where we just
weren't seeing any compelling opportunities to invest in. We've gradually
brought the fund's cash position down from as high as 20% in October and
November to about 10% as of March 31. Looking back, that high a cash position
probably held us back a bit.
 
Q.   DOES THE FUND OWN ANY FOREIGN STOCKS?
 
A.   In March we added a small "basket" of international stocks. In light of 
slower growth in the domestic market, we believe the international markets
offer potential for good relative performance going forward. The international
component, which accounts for about 7% of the fund's equity portfolio as of
March 31, is comprised of large, liquid stocks -- similar to the type of
domestic companies we invest in, with an emphasis on industry and geographic
diversification. And, like our  domestic investments, the international
holdings include several health care companies (Roche Holding AG [Switzerland],
Astra AB [Sweden]), some consumer-related stocks (Carrefour S.A. [France],
Heineken N.V. [Netherlands]) and selected technology (LM Ericsson Telephone
Co., [Sweden]) and financial (Nomura Securities [Japan], Bank of Ireland)
stocks.
 
Q.   WHAT'S YOUR OUTLOOK FOR THE REST OF 1996?
 
A.   We see an upward bias for the market as a whole, although any gains will 
probably be achieved with additional sector rotation and a much greater level
of volatility than we saw last year. So shareholders can expect more rotation   
of the portfolio based on where our research suggests the new opportunities
will be. Overall, we see good potential for growth stocks, which aren't as
dependent on prevailing economic conditions to maintain and expand earnings.
 
6
<PAGE>   7
INDUSTRY SECTORS
 
A SIX-MONTH COMPARISON
 
Data show the percentage of the common stocks in the portfolio that each sector 
represented on March 31, 1996, and on September 30, 1995.
 
                           [Year to Year Bar Graph]

<TABLE>
<CAPTION>
                                  March 31, 1996             September 30, 1995
                                  --------------             ------------------
<S>                                 <C>                          <C>
BASIC INDUSTRIES                       9.0%                          6.6%
CAPITAL GOODS                          9.9%                         10.1%
TECHNOLOGY                            11.7%                         20.9%
CONSUMER DURABLES                      2.2%                          0.0%
CONSUMER NON-DURABLES                 24.0%                         31.8%
HEALTH CARE                           21.0%                         16.5%
FINANCE                                8.7%                         10.6%
TRANSPORTATION                         1.2%                          1.0%
ENERGY                                 4.6%                          2.5%
UTILITIES                              7.7%                          0.0%

</TABLE>
 
- - Kemper Growth Fund on 3/31/96
- - Kemper Growth Fund on 9/30/95

A COMPARISON WITH THE RUSSELL 1000 GROWTH INDEX*
 
Data show the percentage of the common stocks in the portfolio that each sector
of the Kemper Growth Fund represented on March 31, 1996, compared to the
industry sectors that make up the fund's benchmark, the Russell 1000 Growth
Index.
 
                        [Russell Comparison Bar Graph]
 

<TABLE>
<CAPTION>
                                Kemper Growth Fund           Russell 1000 Growth Index
                                  March 31, 1996                  March 31, 1996    
                                  --------------                ------------------
<S>                                  <C>                             <C>
BASIC INDUSTRIES                       9.0%                             4.7%
CAPITAL GOODS                          9.9%                            10.6%
TECHNOLOGY                            11.7%                            18.1%
CONSUMER DURABLES                      2.2%                             0.9%
CONSUMER NON-DURABLES                 24.0%                            34.1%
HEALTH CARE                           21.0%                            17.3%
FINANCE                                8.7%                             6.4%
TRANSPORTATION                         1.2%                             0.6%
ENERGY                                 4.6%                             2.3%
UTILITIES                              7.7%                             5.0%

</TABLE>
 
- - Kemper Growth Fund on 3/31/96
- - Russell 1000 Growth Index on 3/31/96

* The Russell 1000 Growth Index is an unmanaged index comprised of common stocks
  of larger U.S. companies with greater than average growth orientation and
  represents the universe of stocks from which "earnings/growth" money managers
  typically select.
 
                                                                             7 
<PAGE>   8
INDIVIDUAL HOLDINGS
 
THE FUND'S 10 LARGEST HOLDINGS
REPRESENTING 20.6% OF THE FUND'S TOTAL NET ASSETS ON MARCH 31, 1996
 
<TABLE>
<CAPTION>
HOLDINGS                                                                       PERCENT
- --------------------------------------------------------------------------------------
<S>    <C>        <C>                                                       <C>
1.   AT&T            Provides products, services and systems for the movement   2.5%
                     and management of information. AT&T markets selected
                     AT&T products, systems and services in the United States
                     and abroad.
- -------------------------------------------------------------------------------------
2.   MEDTRONIC,      Developer, manufacturer and marketer of therapeutic        2.2%
     INC.            medical devices designed to improve cardiovascular and
                     neurological health.
- -------------------------------------------------------------------------------------
3.   JOHNSON &       Largest and most comprehensive manufacturer of health      2.2%
     JOHNSON         care products serving the consumer, pharmaceutical and
                     professional markets.
- -------------------------------------------------------------------------------------
4.   FEDERATED       Operates department stores and sells women's, men's and    2.1%
     DEPARTMENT      children's apparel, cosmetics, home furnishings and
     STORES          other consumer goods through stores such as Macy's,
                     Abraham & Strauss, Bloomingdale's, Rich's and Lazarus.
- -------------------------------------------------------------------------------------
5.   ENRON CORP.     Transports and markets natural gas throughout the United   2.0%
                     States via 44,000 miles of pipelines. The company also
                     sells and produces cogenerated steam and electricity.
- -------------------------------------------------------------------------------------
6.   SANDOZ LTD.     A global research-based pharmaceutical and nutrition       2.0%
                     group. The company's additional activities include
                     seeds, crop protection and construction technologies.
- -------------------------------------------------------------------------------------
7.   COX             A fully-integrated diversified media and broadband         2.0%
     COMMUNICATIONS  communications company. The company has operations and
     INC.            investments in the areas of United States cable
                     television systems, international cable television
                     systems, programming and telecommunications and
                     technology.
- -------------------------------------------------------------------------------------
8.   TELE-           Operates cable television systems through its Tele-        1.9%
     COMMUNICATIONS  Communications TCI and Tele-Communications Liberty Media
     INC.            units.
- -------------------------------------------------------------------------------------
9.   MONSANTO        Manufactures and sells agricultural and chemical           1.9%
     CO.             products, manmade fibers and textile intermediates,
                     industrial chemicals, polymer products, resin products
                     and rubber chemicals and instruments, prescription drugs
                     and artificial sweeteners.
- -------------------------------------------------------------------------------------
10.  AIRTOUCH        Provides wireless telecommunication service to customers   1.8%
     COMMUNICATIONS  worldwide. The company operates paging systems, cellular
                     phone systems, owns an interest in a long-distance
                     telephone company in Japan and a mobile telephone
                     service.
- -------------------------------------------------------------------------------------
</TABLE>
 
8
<PAGE>   9
PORTFOLIO OF INVESTMENTS
 
KEMPER GROWTH FUND
 
PORTFOLIO OF INVESTMENTS MARCH 31, 1996
(DOLLARS IN THOUSANDS)
 
<TABLE>
<CAPTION>
- -----------------------------------------------------------------------------------------------------------
 COMMON STOCKS                                                                 NUMBER OF SHARES     VALUE
- -----------------------------------------------------------------------------------------------------------
<S>                              <C>                                                  <C>        <C>
CHEMICALS--8.1%                  Air Products & Chemicals                             550,000    $   30,044
                              (a)FMC Corp.                                            580,000        43,573
                                 B.F. Goodrich Co.                                    573,100        45,561
                                 Monsanto Co.                                         319,700        49,074
                                 PPG Industries                                       477,400        23,333
                                 Praxair, Inc.                                        475,000        18,941
                                 --------------------------------------------------------------------------
                                                                                                    210,526
- -----------------------------------------------------------------------------------------------------------
COMMUNICATIONS                (a)Cox Communications Inc.                            2,415,000        52,828
AND MEDIA--7.1%               (a)Liberty Media Group, "A"                           1,300,000        34,288
                                 Reed International PLC                               194,461         3,288
                                 Tele-Communications, Inc.                          2,670,000        49,562
                              (a)Viacom, "B"                                        1,098,093        46,257
                                 --------------------------------------------------------------------------
                                                                                                    186,223
- -----------------------------------------------------------------------------------------------------------
COMPUTER SOFTWARE             (a)BMC Software                                         181,200         9,921
AND SYSTEMS--5.0%                First Data Corporation                               365,245        25,750
                                 General Motors Corporation - Electronic
                                   Data Systems                                       339,200        19,334
                                 Hewlett-Packard, Co.                                 229,900        21,611
                              (a)Microsoft Corp.                                      258,600        26,668
                              (a)Parametric Technology Corp.                          337,400        13,201
                              (a)Sun Microsystems                                     300,000        13,125
                                 --------------------------------------------------------------------------
                                                                                                    129,610
- -----------------------------------------------------------------------------------------------------------
CONSUMER DURABLES--2.0%          Armstrong World Industries                           571,700        35,517
                                 Shaw Industries                                    1,700,000        18,700
                                 --------------------------------------------------------------------------
                                                                                                     54,217
- -----------------------------------------------------------------------------------------------------------
CONSUMER PRODUCTS AND            Heineken N.V.                                         16,823         3,629
SERVICES--4.8%                   Kimberly-Clark Corp.                                 389,000        28,981
                                 Manpower, Inc.                                       780,000        24,180
                                 Philip Morris Companies                              487,900        42,813
                                 Procter & Gamble Co.                                 270,100        22,891
                                 Swire Pacific Limited, "A"                           349,500         3,073
                                 --------------------------------------------------------------------------
                                                                                                    125,567
- -----------------------------------------------------------------------------------------------------------
DRUGS AND                        Astra AB                                              73,316         3,395
HEALTHCARE--18.8%                Baxter International                                 600,000        27,150
                                 Columbia/HCA Healthcare Corp.                        640,000        36,960
                                 Glaxo Wellcome
                                   common stock                                       216,803         2,717
                                   ADR                                              1,300,000        32,663
                                 Guidant Corporation                                  474,224        25,667
                              (a)IDEXX Laboratories                                   411,700        17,291
                                 Johnson & Johnson                                    611,200        56,383
                                 Medtronic, Inc.                                      981,000        58,492
                                 Perkin-Elmer Corp.                                   100,000         5,413
                                 Pfizer Inc.                                          418,000        28,006
                                 Roche Holding AG                                         415         3,444
                                 Sandoz Ltd.                                          913,100        53,302
                              (a)R.P. Scherer Corp.                                   534,000        23,429
                                 SmithKline Beecham PLC                               900,000        46,350
                                 United Healthcare Corp.                              548,500        33,733
                                 U.S. Healthcare                                      800,000        36,700
                                 --------------------------------------------------------------------------
                                                                                                    491,095
- -----------------------------------------------------------------------------------------------------------
</TABLE>
 
                                                                               9
<PAGE>   10
PORTFOLIO OF INVESTMENTS
 
<TABLE>
<CAPTION>
- -----------------------------------------------------------------------------------------------------------
(Dollars in thousands)                                                         NUMBER OF SHARES     VALUE
- -----------------------------------------------------------------------------------------------------------
<S>                              <C>                                               <C>           <C>        
ENERGY AND
RELATED SERVICES--4.1%
                                 Enron Corp.                                        1,452,400    $   53,557
                                 Enron Oil & Gas Co.                                  480,700        12,678
                                 Union Texas Petroleum Holdings                     2,100,000        41,475
                                 --------------------------------------------------------------------------
                                                                                                    107,710
- -----------------------------------------------------------------------------------------------------------
ENTERTAINMENT
AND GAMING--1.5%
                                 Walt Disney Company                                  430,700        27,511
                                 Carnival Corp.                                       460,000        12,650
                                 --------------------------------------------------------------------------
                                                                                                     40,161
- -----------------------------------------------------------------------------------------------------------
FINANCIAL SERVICES
AND REAL ESTATE--7.8%
                                 Australia and New Zealand Banking Group Limited      608,210         2,912
                                 Bank of Ireland                                      450,572         2,963
                                 Boatmen's Bancshares                                 875,600        34,367
                                 CITIC Pacific Ltd.                                   784,000         3,042
                                 Cheung Kong (Holdings) Limited                       428,000         3,016
                                 Dean Witter Discover                                 337,800        19,339
                                 Development Bank of Singapore                        218,000         2,680
                                 General Re Corp.                                     192,500        28,057
                              (a)Internationale Nederlanden Groep                      47,166         3,425
                                 Krung Thai Bank Public Co. Ltd.                      593,100         2,797
                                 MBIA Inc.                                            514,700        38,603
                                 MGIC Investment Corp.                                765,700        41,731
                                 NationsBank                                          225,400        18,060
                                 Nomura Securities Co. Ltd.                           142,000         3,125
                                 --------------------------------------------------------------------------
                                                                                                    204,117
- -----------------------------------------------------------------------------------------------------------
MANUFACTURING--8.9%
                                 Alco Standard Corporation                            542,600        28,283
                                 Boeing Co.                                           299,800        25,970
                                 Emerson Electric Co.                                 202,000        16,312
                                 Fluor Corp.                                          431,700        29,464
                                 Georgia-Pacific Corp.                                600,000        41,625
                                 Matsushita Electric Industrial Co., Ltd.             189,000         3,079
                                 Mitsubishi Heavy Industries                          378,000         3,270
                                 Murata Manufacturing                                  93,500         3,222
                                 Sumitomo Metal Industries                          1,011,000         3,171
                                 Toray Industries                                     475,000         3,078
                                 Xerox Corporation                                    290,000        36,395
                                 York International Corp.                             796,700        39,038
                                 --------------------------------------------------------------------------
                                                                                                    232,907
- -----------------------------------------------------------------------------------------------------------
RETAILING AND
DISTRIBUTION--8.1%
                                 Burton Group PLC                                   1,562,310         3,441
                                 Carrefour S.A.                                         5,023         3,679
                              (a)Federated Department Stores                        1,737,900        56,047
                                 Home Depot                                           673,600        32,249
                                 Lowe's Companies Inc.                                600,000        21,450
                              (a)Office Depot                                         781,700        15,341
                              (a)Viking Office Products                               141,200         7,854
                                 Wal-Mart Stores                                    1,630,600        37,708
                                 Warnaco Group                                      1,388,200        33,490
                                 --------------------------------------------------------------------------
                                                                                                    211,259
- -----------------------------------------------------------------------------------------------------------
SEMICONDUCTORS
AND NETWORKING--5.5%
                              (a)Applied Materials, Inc.                              496,000        17,298
                              (a)Atmel Corporation                                    298,800         7,620
                              (a)Cisco Systems                                        802,400        37,211
                                 Intel Corp.                                          237,300        13,496
                                 Linear Technology Corp.                              613,500        25,614
                              (a)Microchip Technology                                 334,300         9,193
                              (a)3Com Corporation                                     812,600        32,402
                                 --------------------------------------------------------------------------
                                                                                                    142,834
- -----------------------------------------------------------------------------------------------------------
</TABLE>


10
<PAGE>   11
PORTFOLIO OF INVESTMENTS

<TABLE>
<CAPTION>
- -----------------------------------------------------------------------------------------------------------
(Dollars in thousands)                                                         NUMBER OF SHARES     VALUE
- -----------------------------------------------------------------------------------------------------------
<S>                              <C>                                               <C>           <C> 
TELECOMMUNICATIONS--6.9%
                              (a)AirTouch Communications                            1,490,000    $   46,376
                                 AT&T                                               1,069,600        65,513
                              (a)DSC Communications Corp.                             390,900        10,554
                                 LM Ericsson Telephone Co., "B"                       153,089         3,367
                                 SBC Communications, Inc.                             309,000        16,261
                              (a)WorldCom, Inc.                                       821,300        37,780
                                 --------------------------------------------------------------------------
                                                                                                    179,851
- ------------------------------------------------------------------------------------------------------------
TRANSPORTATION--1.1%
                              (a)Canadian National Railway Company                    177,305         3,058
                                 Nippon Express                                       326,300         3,208
                              (a)Wisconsin Central Transportation Corporation         328,600        21,852
                                 --------------------------------------------------------------------------
                                                                                                     28,118
                                 --------------------------------------------------------------------------
                                 TOTAL COMMON STOCKS--89.7%
                                 (Cost: $1,981,488)                                               2,344,195
                                 --------------------------------------------------------------------------
 
<CAPTION>
- -----------------------------------------------------------------------------------------------------------
                                                                                 PRINCIPAL AMOUNT     VALUE
- -----------------------------------------------------------------------------------------------------------
<S>                              <C>                                               <C>             <C>
MONEY MARKET
INSTRUMENTS--9.8%
                                 Yield-5.25% to 5.63%
                                 Due-April and May 1996
                                 Columbia/HCA Healthcare Corp.                     $   18,900        18,793
                                 Finova Capital Corporation                            31,000        30,897
                                 GTE Corporation                                       20,800        20,740
                                 Mid-Atlantic Fuel Company                             27,000        26,945
                                 Renaissance Energy Co.                                21,700        21,687
                                 STRAIT Capital Corporation                            19,000        18,986
                                 Other                                                119,100       118,806
                                 --------------------------------------------------------------------------
                                 TOTAL MONEY MARKET INSTRUMENTS--9.8%
                                 (Cost: $256,853)                                                   256,854
                                 --------------------------------------------------------------------------
                                 TOTAL INVESTMENTS--99.5%
                                 (Cost: $2,238,341)                                               2,601,049
                                 --------------------------------------------------------------------------
                                 CASH AND OTHER ASSETS, LESS LIABILITIES--.5%                        12,600
                                 --------------------------------------------------------------------------
                                 NET ASSETS--100%                                                $2,613,649
                                 --------------------------------------------------------------------------
</TABLE>
 
 NOTES TO PORTFOLIO OF INVESTMENTS
 
(a) Non-income producing security.
 
Based on the cost of investments of $2,238,341,000 for federal income tax
purposes at March 31, 1996, the aggregate gross unrealized appreciation was
$399,953,000, the aggregate gross unrealized depreciation was $37,247,000 and
the net unrealized appreciation on investments was $362,706,000.
 
See accompanying Notes to Financial Statements.
 
                                                                              11
<PAGE>   12
FINANCIAL STATEMENTS
 
STATEMENT OF ASSETS AND LIABILITIES
 
March 31, 1996
(IN THOUSANDS)
 
<TABLE>
<S>                                                            <C>
- -------------------------------------------------------------------------
 ASSETS
- -------------------------------------------------------------------------
Investment, at value
(Cost: $2,238,341)                                             $2,601,049
- -------------------------------------------------------------------------
Cash                                                                  246
- -------------------------------------------------------------------------
Receivable for:
  Fund shares sold                                                    387
- -------------------------------------------------------------------------
  Investments sold                                                 74,963
- -------------------------------------------------------------------------
  Dividends and interest                                            3,908
- -------------------------------------------------------------------------
    TOTAL ASSETS                                                2,680,553
- -------------------------------------------------------------------------
 
- -------------------------------------------------------------------------
 LIABILITIES AND NET ASSETS
- -------------------------------------------------------------------------
Payable for:
  Fund shares redeemed                                              1,053
- -------------------------------------------------------------------------
  Investments purchased                                            62,687
- -------------------------------------------------------------------------
  Management fee                                                    1,177
- -------------------------------------------------------------------------
  Distribution services fee                                           521
- -------------------------------------------------------------------------
  Administrative services fee                                         494
- -------------------------------------------------------------------------
  Custodian and transfer agent fees and related expenses              876
- -------------------------------------------------------------------------
  Other                                                                96
- -------------------------------------------------------------------------
    Total liabilities                                              66,904
- -------------------------------------------------------------------------
NET ASSETS                                                     $2,613,649
- -------------------------------------------------------------------------
 
- -------------------------------------------------------------------------
 ANALYSIS OF NET ASSETS
- -------------------------------------------------------------------------
Paid-in capital                                                $1,967,668
- -------------------------------------------------------------------------
Undistributed net realized gain on investments                    265,585
- -------------------------------------------------------------------------
Net unrealized appreciation on investments                        363,193
- -------------------------------------------------------------------------
Undistributed net investment income                                17,203
- -------------------------------------------------------------------------
NET ASSETS APPLICABLE TO SHARES OUTSTANDING                    $2,613,649
- -------------------------------------------------------------------------
 
- -------------------------------------------------------------------------
 THE PRICING OF SHARES
- -------------------------------------------------------------------------
CLASS A SHARES
  Net asset value and redemption price per share
  ($1,744,062 / 110,866 shares outstanding)                        $15.73
- -------------------------------------------------------------------------
  Maximum offering price per share
  (net asset value, plus 6.10% of net asset value or
  5.75% of offering price)                                         $16.69
- -------------------------------------------------------------------------
CLASS B SHARES
  Net asset value and redemption price
  (subject to contingent deferred sales charge) per share
  ($824,968 / 53,419 shares outstanding)                           $15.44
- -------------------------------------------------------------------------
CLASS C SHARES
  Net asset value and redemption price per share
  ($7,683 / 496 shares outstanding)                                $15.48
- -------------------------------------------------------------------------
CLASS I SHARES
  Net asset value and redemption price per share
  ($36,936 / 2,347 shares outstanding)                             $15.74
- -------------------------------------------------------------------------
</TABLE>
 
See accompanying Notes to Financial Statements.
 
12
<PAGE>   13
FINANCIAL STATEMENTS 
STATEMENT OF OPERATIONS
 
Six months ended March 31, 1996
(in thousands)
 

 
<TABLE>
<S>                                                                                                    <C>
- ---------------------------------------------------------------------------------------------------------------
 NET INVESTMENT INCOME
- ---------------------------------------------------------------------------------------------------------------
  Dividends                                                                                            $ 12,326
- ---------------------------------------------------------------------------------------------------------------
  Interest                                                                                               12,411
- ---------------------------------------------------------------------------------------------------------------
   Total investment income                                                                               24,737
- ---------------------------------------------------------------------------------------------------------------
Expenses:
  Management fee                                                                                          6,889
- ---------------------------------------------------------------------------------------------------------------
  Distribution services fee                                                                               3,022
- ---------------------------------------------------------------------------------------------------------------
  Administrative services fee                                                                             2,919
- ---------------------------------------------------------------------------------------------------------------
  Custodian and transfer agent fees and related expenses                                                  4,556
- ---------------------------------------------------------------------------------------------------------------
  Professional fees                                                                                          35
- ---------------------------------------------------------------------------------------------------------------
  Reports to shareholders                                                                                   207
- ---------------------------------------------------------------------------------------------------------------
  Trustees' fees and other                                                                                   25
- ---------------------------------------------------------------------------------------------------------------
   Total expenses                                                                                        17,653
- ---------------------------------------------------------------------------------------------------------------
NET INVESTMENT INCOME                                                                                     7,084
- ---------------------------------------------------------------------------------------------------------------
 NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS
- --------------------------------------------------------------------------------------------------------------- 
  Net realized gain on sales of investments                                                             400,589
- ---------------------------------------------------------------------------------------------------------------
  Change in net unrealized appreciation on investments                                                 (184,059)
- ---------------------------------------------------------------------------------------------------------------
Net gain on investments                                                                                 216,530
- ---------------------------------------------------------------------------------------------------------------
NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                                                   $223,614
- ---------------------------------------------------------------------------------------------------------------
</TABLE>
 
STATEMENT OF CHANGES IN NET ASSETS
 
(in thousands)
 
<TABLE>
<CAPTION>
                                                                             SIX MONTHS ENDED         YEAR ENDED
                                                                                 MARCH 31,           SEPTEMBER 30,
                                                                                   1996                  1995
<S>                                                                          <C>                     <C>
- ------------------------------------------------------------------------------------------------------------------
OPERATIONS, DIVIDENDS AND CAPITAL SHARE ACTIVITY
- ------------------------------------------------------------------------------------------------------------------
  Net investment income                                                          $    7,084                  2,743
- ------------------------------------------------------------------------------------------------------------------
  Net realized gain                                                                 400,589                132,687
- ------------------------------------------------------------------------------------------------------------------
  Change in net unrealized appreciation                                            (184,059)               392,371
- ------------------------------------------------------------------------------------------------------------------
Net increase in net assets resulting from operations                                223,614                527,801
- ------------------------------------------------------------------------------------------------------------------
Net equalization credits (charges)                                                      507                 (4,328)
- ------------------------------------------------------------------------------------------------------------------
  Distribution from net investment income                                           (10,737)                    --
- ------------------------------------------------------------------------------------------------------------------
  Distribution from net realized gain on investments                               (258,903)               (30,829)
- ------------------------------------------------------------------------------------------------------------------
Total dividends to shareholders                                                    (269,640)               (30,829)
- ------------------------------------------------------------------------------------------------------------------
Net increase (decrease) from capital share transactions                             155,867               (245,320)
- ------------------------------------------------------------------------------------------------------------------
TOTAL INCREASE IN NET ASSETS                                                        110,348                247,324
- ------------------------------------------------------------------------------------------------------------------
 NET ASSETS
- ------------------------------------------------------------------------------------------------------------------ 
Beginning of period                                                               2,503,301              2,255,977
- ------------------------------------------------------------------------------------------------------------------
END OF PERIOD (including undistributed net investment income of
$17,203 in 1996 and $20,349 in 1995)                                             $2,613,649              2,503,301
- ------------------------------------------------------------------------------------------------------------------
</TABLE>
 
                                                                              13
<PAGE>   14
NOTES TO FINANCIAL STATEMENTS 
- --------------------------------------------------------------------------------
1    DESCRIPTION OF THE FUND Kemper Growth Fund is an open-end management
                             investment company organized as a business trust
                             under the laws of Massachusetts. The Fund currently
                             offers four classes of shares. Class A shares are
                             sold to investors subject to an initial sales
                             charge. Class B shares are sold without an initial
                             sales charge but are subject to higher ongoing
                             expenses than Class A shares and a contingent
                             deferred sales charge payable upon certain
                             redemptions. Class B shares automatically convert
                             to Class A shares six years after issuance. Class C
                             shares are sold without an initial sales charge but
                             are subject to higher ongoing expenses than Class A
                             shares and, for shares sold on or after April 1,
                             1996, a contingent deferred sales charge payable on
                             certain redemptions within one year of purchase.
                             Class C shares do not convert into another class.
                             Class I shares, which are sold to a limited group
                             of investors, are not subject to initial or
                             contingent deferred sales charges and have lower
                             ongoing expenses than other classes. Differences in
                             class expenses will result in the payment of
                             different per share income dividends by class. Each
                             share represents an identical interest in the
                             investments of the Fund and has the same rights.
 
- --------------------------------------------------------------------------------
2    SIGNIFICANT             INVESTMENT VALUATION. Investments are stated at
     ACCOUNTING POLICIES     value. Portfolio securities that are traded on a
                             domestic securities exchange or securities listed
                             on the NASDAQ National Market are valued at the
                             last sale price on the exchange or market where
                             primarily traded or listed or, if there is no
                             recent sale, at the last current bid quotation.
                             Portfolio securities that are primarily traded on
                             foreign securities exchanges are generally valued
                             at the preceding closing values of such securities
                             on their respective exchanges where primarily
                             traded. Securities not so traded or listed are
                             valued at the last current bid quotation if market
                             quotations are available. Fixed income securities
                             are valued by using market quotations, or
                             independent pricing services that use prices
                             provided by market makers or estimates of market
                             values obtained from yield data relating to
                             instruments or securities with similar
                             characteristics. Equity options are valued at the
                             last sale price unless the bid price is higher or
                             the asked price is lower, in which event such bid
                             or asked price is used. Financial futures and
                             options thereon are valued at the settlement price
                             established each day by the board of trade or
                             exchange on which they are traded. Forward foreign
                             currency contracts are valued at the forward rates
                             prevailing on the day of valuation. Other
                             securities and assets are valued at fair value as
                             determined in good faith by the Board of Trustees.
 
                             INVESTMENT TRANSACTIONS AND INVESTMENT INCOME.
                             Investment transactions are accounted for on the
                             trade date (date the order to buy or sell is
                             executed). Dividend income is recorded on the
                             ex-dividend date, and interest income is recorded
                             on the accrual basis and includes discount
                             amortization on money market instruments. Realized
                             gains and losses from investment transactions are
                             reported on an identified cost basis.
 
                             FUND SHARE VALUATION. Fund shares are sold and
                             redeemed on a continuous basis at net asset value
                             (plus an initial sales charge on most sales of
                             Class A shares). Proceeds payable on redemption of
                             Class B and Class C
 
14
<PAGE>   15
NOTES TO FINANCIAL STATEMENTS

                             shares will be reduced by the amount of any
                             applicable contingent deferred sales charge. On
                             each day the New York Stock Exchange is open for
                             trading, the net asset value per share is
                             determined as of the earlier of 3:00 p.m. Chicago
                             time or the close of the Exchange. The net asset
                             value per share is determined separately for each
                             class by dividing the Fund's net assets
                             attributable to that class by the number of shares
                             of the class outstanding.
 
                             FEDERAL INCOME TAXES. The Fund has complied with
                             the special provisions of the Internal Revenue Code
                             available to investment companies during the six
                             months ended March 31, 1996.
 
                             DIVIDENDS TO SHAREHOLDERS. The Fund declares and
                             pays dividends of net investment income and net
                             realized capital gains annually, which are recorded
                             on the ex-dividend date. Dividends are determined
                             in accordance with income tax principles which may
                             treat certain transactions differently from
                             generally accepted accounting principles.
 
                             EQUALIZATION ACCOUNTING. A portion of proceeds from
                             sales and cost of redemptions of Fund shares is
                             credited or charged to undistributed net investment
                             income so that income per share available for
                             distribution is not affected by sales or
                             redemptions of shares.
 
- --------------------------------------------------------------------------------
3    TRANSACTIONS            MANAGEMENT AGREEMENT. The Fund has a management
     WITH AFFILIATES         agreement with Zurich Kemper Investments, Inc.
                             (ZKI) (formerly known as Kemper Financial Services,
                             Inc.) and pays a management fee at an annual rate
                             of .58% of the first $250 million of average daily
                             net assets declining to .42% of average daily net
                             assets in excess of $12.5 billion. The Fund
                             incurred a management fee of $6,889,000 for the six
                             months ended March 31, 1996.
                             
                             UNDERWRITING AND DISTRIBUTION SERVICES AGREEMENT.
                             The Fund has an underwriting and distribution
                             services agreement with Kemper Distributors, Inc.
                             (KDI). Underwriting commissions paid in connection
                             with the distribution of Class A shares are as
                             follows:
 
<TABLE>
<CAPTION>
                                                                                               COMMISSIONS
                                                                                              ALLOWED BY KDI
                                                                     COMMISSIONS      ------------------------------
                                                                   RETAINED BY KDI    TO ALL FIRMS     TO AFFILIATES
                                                                   ---------------    ------------     -------------
                                    <S>                            <C>                <C>              <C>
                                    Six months ended March 31,
                                      1996                            $ 157,000         1,041,000          39,000
</TABLE>
 
                             For services under the distribution services
                             agreement, the Fund pays KDI a fee of .75% of
                             average daily net assets of Class B and Class C
                             shares. Pursuant to the agreement, KDI enters into
                             related selling group agreements with various firms
                             at various rates for sales of Class B and Class C
                             shares. In addition, KDI receives any contingent
                             deferred sales charges (CDSC) from redemptions of
                             Class B and Class C shares. Distribution fees and
                             commissions paid in connection with the sale of
                             Class B and
 
                                                                              15
<PAGE>   16
NOTES TO FINANCIAL STATEMENTS

                             Class C shares, and the CDSC received in connection
                             with the redemption of Class B shares are as
                             follows:
 
<TABLE>
<CAPTION>
                                                                                        COMMISSIONS AND DISTRIBUTION
                                                                  DISTRIBUTION FEES           FEES PAID BY KDI
                                                                      AND CDSC         ------------------------------
                                                                   RECEIVED BY KDI     TO ALL FIRMS     TO AFFILIATES
                                                                  -----------------    ------------     -------------
                                    <S>                           <C>                  <C>              <C>
                                    Six months ended March 31,
                                      1996                           $ 3,850,000         1,831,000          47,000
</TABLE>
 
                             ADMINISTRATIVE SERVICES AGREEMENT. The Fund has an
                             administrative services agreement with KDI. For
                             providing information and administrative services
                             to Class A, Class B and Class C shareholders, the
                             Fund pays KDI a fee at an annual rate of up to .25%
                             of average daily net assets of each class. KDI in
                             turn has various agreements with financial services
                             firms that provide these services and pays these
                             firms based on assets of Fund accounts the firms
                             service. Administrative services fees (ASF) paid
                             are as follows:
 
<TABLE>
<CAPTION>
                                                                                            ASF PAID BY KDI
                                                                  ASF PAID BY THE    ------------------------------
                                                                    FUND TO KDI      TO ALL FIRMS     TO AFFILIATES
                                                                  ---------------    ------------     -------------
                                    <S>                           <C>                <C>              <C>
                                    Six months ended March 31,
                                      1996                          $ 2,919,000        2,920,000          82,000
</TABLE>
 
                             SHAREHOLDER SERVICES AGREEMENT. Pursuant to a
                             services agreement with the Fund's transfer agent,
                             Kemper Service Company (KSvC) is the shareholder
                             service agent of the Fund. Under the agreement,
                             KSvC received shareholder services fees of
                             $3,811,000 for the six months ended March 31, 1996.
 
                             OFFICERS AND TRUSTEES. Certain officers or trustees
                             of the Fund are also officers or directors of ZKI.
                             During the six months ended March 31, 1996, the
                             Fund made no payments to its officers and incurred
                             trustees' fees of $24,000 to independent trustees.
 
- --------------------------------------------------------------------------------
4
     INVESTMENT
     TRANSACTIONS            For the six months ended March 31, 1996, investment
                             transactions (excluding short-term instruments) are
                             as follows (in thousands):
 
<TABLE>
                                    <S>                                                        <C>
                                    Purchases                                                  $1,469,507
                                    Proceeds from sales                                         1,603,263
</TABLE>
 
16
<PAGE>   17
NOTES TO FINANCIAL STATEMENTS 
- --------------------------------------------------------------------------------
5    CAPITAL SHARE              The following table summarizes the activity in
     TRANSACTIONS               capital shares of the Fund (in thousands):
                             
 
<TABLE>
<CAPTION>
                                                             SIX MONTHS ENDED                        YEAR ENDED
                                                              MARCH 31, 1996                     SEPTEMBER 30, 1995
                                                          -----------------------           ----------------------------
                                                          SHARES         AMOUNT             SHARES            AMOUNT
                                      <S>                 <C>           <C>                 <C>           <C>       <C>
                                       SHARES SOLD
                                       Class A              6,475       $ 102,564            17,146       $ 228,060
                                      ----------------------------------------------------------------------------
                                       Class B              5,405          87,155            12,710         174,061
                                      ----------------------------------------------------------------------------
                                       Class C                164           2,587               287           3,950
                                      ----------------------------------------------------------------------------
                                       Class I                549           8,721             2,166          32,293
                                      ----------------------------------------------------------------------------
                                       SHARES ISSUED IN REINVESTMENT OF DIVIDENDS
                                       Class A             11,443         167,755             1,651          20,744
                                      ----------------------------------------------------------------------------
                                       Class B              5,505          79,439               736           9,188
                                      ----------------------------------------------------------------------------
                                       Class C                 43             617                 2              29
                                      ----------------------------------------------------------------------------
                                       Class I                233           3,413                --              --
                                      ----------------------------------------------------------------------------
                                       SHARES REDEEMED
                                       Class A            (12,614)       (194,603)          (37,809)       (507,033)
                                      ----------------------------------------------------------------------------
                                       Class B             (6,036)        (94,099)          (14,880)       (203,270)
                                      ----------------------------------------------------------------------------
                                       Class C                (36)           (564)              (66)           (944)
                                      ----------------------------------------------------------------------------
                                       Class I               (445)         (7,118)             (156)         (2,398)
                                      ----------------------------------------------------------------------------
                                       CONVERSION OF SHARES
                                       Class A                686          10,799             2,001          27,345
                                      ----------------------------------------------------------------------------
                                       Class B               (697)        (10,799)           (2,018)        (27,345)
                                      ----------------------------------------------------------------------------
                                      NET INCREASE (DECREASE)
                                      FROM CAPITAL SHARE
                                      TRANSACTIONS                      $ 155,867                         $(245,320)
                                      ----------------------------------------------------------------------------
</TABLE>
 
- --------------------------------------------------------------------------------
6
     FORWARD FOREIGN
     CURRENCY CONTRACTS      In order to protect itself against a decline in the
                             value of particular foreign currencies against the
                             U.S. Dollar, the Fund has entered into forward
                             contracts to deliver foreign currency in exchange
                             for U.S. Dollars as described below. The Fund bears
                             the market risk that arises from changes in foreign
                             exchange rates, and accordingly, the net unrealized
                             gain on these contracts is reflected in the
                             accompanying financial statements. The Fund also
                             bears the credit risk if the counterparty fails to
                             perform under the contract. At March 31, 1996, the
                             Fund has the following forward foreign currency
                             contracts outstanding with settlement dates in May,
                             1996 (in thousands):
 
<TABLE>
<CAPTION>
                                                                         CONTRACT       UNREALIZED
                                           FOREIGN CURRENCY             AMOUNT IN          GAIN
                                           TO BE DELIVERED             U.S. DOLLARS     AT 3/31/96
                                    <C>        <S>                     <C>              <C>
                                    --------------------------------------------------------------
                                         2,410 British Pounds            $  3,718          $ 43
                                    --------------------------------------------------------------
                                         3,810 Dutch Guilders               2,345            32
                                    --------------------------------------------------------------
                                        13,100 French Francs                2,614             7
                                    --------------------------------------------------------------
                                     1,603,776 Japanese Yen                15,501           386
                                    --------------------------------------------------------------
                                         2,870 Swiss Francs                 2,439            17
                                    --------------------------------------------------------------
                                               Net unrealized gain                         $485
                                    --------------------------------------------------------------
</TABLE>
 
                                                                              17
<PAGE>   18
FINANCIAL HIGHLIGHTS

<TABLE>
<CAPTION>
                                             ---------------------------------------------------
                                                                     CLASS A
                                             --------------------------------------------------- 
                                             SIX MONTHS
                                               ENDED
                                             MARCH 31,           YEAR ENDED SEPTEMBER 30,
                                                1996        1995      1994      1993      1992
<S>                                          <C>            <C>       <C>       <C>       <C>
- -----------------------------------------------------------------------------------------------
 PER SHARE OPERATING PERFORMANCE
- -----------------------------------------------------------------------------------------------
Net asset value, beginning of period           $16.07       12.93     15.33     13.09     13.14
- -----------------------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                           .02         .05       .01       .01       .03
- -----------------------------------------------------------------------------------------------
  Net realized and unrealized gain (loss)        1.36        3.27     (1.41)     2.29       .71
- -----------------------------------------------------------------------------------------------
Total from investment operations                 1.38        3.32     (1.40)     2.30       .74
- -----------------------------------------------------------------------------------------------
Less dividends:
  Distribution from net investment income         .04          --        --       .03       .05
- -----------------------------------------------------------------------------------------------
  Distribution from net realized gain            1.68         .18      1.00       .03       .74
- -----------------------------------------------------------------------------------------------
Total dividends                                  1.72         .18      1.00       .06       .79
- -----------------------------------------------------------------------------------------------
Net asset value, end of period                 $15.73       16.07     12.93     15.33     13.09
- -----------------------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED)                    9.34%      26.07     (9.39)    17.60      5.55
- -----------------------------------------------------------------------------------------------
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
- -----------------------------------------------------------------------------------------------
Expenses                                         1.07%       1.17      1.09      1.00      1.03
- -----------------------------------------------------------------------------------------------
Net investment income                             .87%        .43       .24       .06       .32
- -----------------------------------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                 ------------------------------------------
                                                                 CLASS B
                                                 ------------------------------------------
                                                 SIX MONTHS
                                                   ENDED        YEAR ENDED     MAY 31, 1994
                                                 MARCH 31,      SEPT. 30,      TO SEPT. 30,
                                                    1996           1995            1994
<S>                                              <C>            <C>            <C>
- -------------------------------------------------------------------------------------------
 PER SHARE OPERATING PERFORMANCE
Net asset value, beginning of period               $15.85          12.88           13.10
- -------------------------------------------------------------------------------------------
Income from investment operations:
  Net investment loss                               (.06)          (.08)           (.03)
- -------------------------------------------------------------------------------------------
  Net realized and unrealized gain (loss)            1.33           3.23           (.19)
- -------------------------------------------------------------------------------------------
Total from investment operations                     1.27           3.15           (.22)
- -------------------------------------------------------------------------------------------
Less distribution from net realized gain             1.68            .18              --
- -------------------------------------------------------------------------------------------
Net asset value, end of period                     $15.44          15.85           12.88
- -------------------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED)                        8.75%         24.83          (1.68)
- -------------------------------------------------------------------------------------------
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
- -------------------------------------------------------------------------------------------
Expenses                                             2.11%          2.17            2.11
- -------------------------------------------------------------------------------------------
Net investment loss                                 (.17)%         (.57)           (.76)
- -------------------------------------------------------------------------------------------
</TABLE>
 
18
<PAGE>   19
FINANCIAL HIGHLIGHTS

<TABLE>
<CAPTION>
- ----------------------------------------------------------------------------------------------------------------------
                                                                  CLASS C                             CLASS I
- ----------------------------------------------------------------------------------------------------------------------
                                                   SIX MONTHS                                SIX MONTHS
                                                     ENDED      YEAR ENDED   MAY 31, 1994      ENDED      JULY 3, 1995
                                                   MARCH 31,    SEPT. 30,    TO SEPT. 30,    MARCH 31,    TO SEPT. 30,
                                                      1996         1995          1994           1996          1995
<S>                                                <C>          <C>          <C>             <C>          <C>
- ----------------------------------------------------------------------------------------------------------------------
 PER SHARE OPERATING PERFORMANCE
- ----------------------------------------------------------------------------------------------------------------------
Net asset value, beginning of period                 $15.87        12.88        13.09          16.09         14.80
- ----------------------------------------------------------------------------------------------------------------------
Income from investment operations:
  Net investment income (loss)                         (.05)        (.07)        (.02)           .06           .03
- ----------------------------------------------------------------------------------------------------------------------
  Net realized and unrealized gain (loss)              1.34         3.24         (.19)          1.35          1.26
- ----------------------------------------------------------------------------------------------------------------------
Total from investment operations                       1.29         3.17         (.21)          1.41          1.29
- ----------------------------------------------------------------------------------------------------------------------
Less dividends:
  Distribution from net investment income                --           --           --            .08            --
- ----------------------------------------------------------------------------------------------------------------------
  Distribution from net realized gain                  1.68          .18           --           1.68            --
- ----------------------------------------------------------------------------------------------------------------------
Total dividends                                        1.68          .18           --           1.76            --
- ----------------------------------------------------------------------------------------------------------------------
Net asset value, end of period                       $15.48        15.87        12.88          15.74         16.09
- ----------------------------------------------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED)                          8.88%       24.99        (1.60)          9.60          8.72
- ----------------------------------------------------------------------------------------------------------------------
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
- ----------------------------------------------------------------------------------------------------------------------
Expenses                                               1.91%        2.03         2.09            .63           .59
- ----------------------------------------------------------------------------------------------------------------------
Net investment income (loss)                            .03%        (.43)        (.67)          1.31           .92
- ----------------------------------------------------------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                                         SIX MONTHS
                                           ENDED
                                         MARCH 31,                   YEAR ENDED SEPTEMBER 30,
                                            1996          1995         1994          1993          1992
<S>                                      <C>            <C>          <C>           <C>           <C>
- ----------------------------------------------------------------------------------------------------------
 SUPPLEMENTAL DATA FOR ALL CLASSES
- ----------------------------------------------------------------------------------------------------------
Net assets at end of period (in
  thousands)                             $2,613,649     2,503,301    2,255,977     1,826,961     1,419,292
- ----------------------------------------------------------------------------------------------------------
Portfolio turnover rate (annualized)            129%          67           115           139            83
- ----------------------------------------------------------------------------------------------------------
Average commission rate paid per share on
stock transactions                           $.0541           --            --            --            --
- ----------------------------------------------------------------------------------------------------------
</TABLE>
 
NOTE: Total return does not reflect the effect of any sales charges.
 
                                                                              19
<PAGE>   20
 
TRUSTEES                           OFFICERS
 
STEPHEN B. TIMBERS                JOHN E. NEAL
President and Trustee             Vice President

DAVID W. BELIN                    JOHN E. PETERS
Trustee                           Vice President

LEWIS A. BURNHAM                  STEVEN H. REYNOLDS
Trustee                           Vice President

DONALD L. DUNAWAY                 PHILIP J. COLLORA
Trustee                           Vice President
                                  and Secretary

ROBERT B. HOFFMAN                 CHARLES F. CUSTER
Trustee                           Vice President and
                                  Assistant Secretary

DONALD R. JONES                   JEROME L. DUFFY
Trustee                           Treasurer

DOMINIQUE P. MORAX                ELIZABETH C. WERTH
Trustee                           Assistant Secretary
 
SHIRLEY D. PETERSON
Trustee
 
WILLIAM P. SOMMERS
Trustee

- --------------------------------------------------------------------------------
LEGAL COUNSEL
                           VEDDER, PRICE, KAUFMAN & KAMMHOLZ
                           222 North LaSalle Street
                           Chicago, IL 60601
 
- --------------------------------------------------------------------------------
SHAREHOLDER SERVICE AGENT
                           KEMPER SERVICE COMPANY
                           P.O. Box 419557
                           Kansas City, MO 64141
                           1-800-621-1048
 
- --------------------------------------------------------------------------------
CUSTODIAN AND TRANSFER AGENT
                           INVESTORS FIDUCIARY TRUST COMPANY
                           127 West 10th Street
                           Kansas City, MO 64105
 
- --------------------------------------------------------------------------------
INVESTMENT MANAGER
                           ZURICH KEMPER INVESTMENTS, INC.
 
PRINCIPAL UNDERWRITER
                           KEMPER DISTRIBUTORS, INC.
                           120 S. LaSalle Street  Chicago, IL 60603
                           http://www.kemper.com
 
               K
               (LOGO)Printed on recycled paper in the U.S.A.
               This report is not to be distributed
               unless preceded or accompanied by a
               Kemper Equity Fund prospectus.
               KGF - 3 (5/96)                                       LOGO
                                                                 1014590
                                                   Printed in the U.S.A.


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