KEMPER INTERNATIONAL FUND
N-30D, 1996-07-01
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<PAGE>   1
 
KEMPER INTERNATIONAL FUND
 
SEMIANNUAL REPORT TO SHAREHOLDERS
FOR THE PERIOD ENDED APRIL 30, 1996

Seeking total return, a combination of capital growth and
income, principally through an internationally diversified portfolio of
equity securities

   "...our holdings in multiple markets provided us with the opportunity to
         always have some portion of our equities moving forward..."


<PAGE>   2
Table of
Contents

2                          
Terms to Know              
3                          
General                    
Economic Overview          
5                          
Performance Update         
8                          
Country Sectors            
9
Largest Holdings
10
Portfolio of Investments
16
Financial Statements
18
Notes to
Financial Statements
22
Financial Highlights

At A Glance

- --------------------------------------------------------------------------------
KEMPER INTERNATIONAL FUND
TOTAL RETURNS
- --------------------------------------------------------------------------------

FOR THE SIX-MONTH PERIOD ENDED APRIL 30, 1996 (UNADJUSTED FOR ANY SALES CHARGE)


                                 [BAR GRAPH]
                                           
<TABLE>
<S>                                                     <C>
- --------------------------------------------------------------------------------
CLASS A                                                 14.31%             
CLASS B                                                 13.79%             
CLASS C                                                 13.79%             
LIPPER INTERNATIONAL                                                       
FUNDS CATEGORY                                                             
AVERAGE *                                               11.95%             
- --------------------------------------------------------------------------------
</TABLE>
                                           
Returns and rankings 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. Investment in foreign
securities presents special risk considerations including fluctuating currency
exchange rates, government regulation and differences in liquidity.
                                           
- --------------------------------------------------------------------------------
NET ASSET VALUE
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                   AS OF     AS OF
                                                  4/30/96   10/31/95
- --------------------------------------------------------------------------------
<S>                                                <C>       <C>
KEMPER INTERNATIONAL FUND
CLASS A                                            $11.92     $10.59
- --------------------------------------------------------------------------------
KEMPER INTERNATIONAL FUND
CLASS B                                            $11.83     $10.46
- --------------------------------------------------------------------------------
KEMPER INTERNATIONAL FUND
CLASS C                                            $11.83     $10.46
- --------------------------------------------------------------------------------
</TABLE>
 
- --------------------------------------------------------------------------------
KEMPER INTERNATIONAL FUND
LIPPER RANKINGS*
- --------------------------------------------------------------------------------
 
Compared to all other funds in the Lipper International Funds Category
 
<TABLE>
<CAPTION>
                     CLASS A                 CLASS B             CLASS C
- --------------------------------------------------------------------------------
<S>                 <C>                     <C>                 <C>
1-YEAR              #28 OF 281              #37 OF 281          #35 OF 281  
                    FUNDS                   FUNDS               FUNDS
- --------------------------------------------------------------------------------
5-YEAR              #35 OF 63
                    FUNDS                   N/A                 N/A
- --------------------------------------------------------------------------------
10-YEAR             #14 OF 24
                    FUNDS                   N/A                 N/A
- --------------------------------------------------------------------------------
</TABLE>
 
*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.
 
- --------------------------------------------------------------------------------
DIVIDEND REVIEW
- --------------------------------------------------------------------------------
 
DURING THE PERIOD, KEMPER INTERNATIONAL FUND PAID THE FOLLOWING DIVIDENDS:
 
<TABLE>
<CAPTION>
                                 CLASS A         CLASS B          CLASS C
- --------------------------------------------------------------------------------
<S>                              <C>             <C>              <C>
INCOME DIVIDEND                  $0.115          $0.0141          $0.0141
- --------------------------------------------------------------------------------
LONG-TERM CAPITAL
  GAIN                           $0.05            $0.05           $0.05
- --------------------------------------------------------------------------------
</TABLE>


TERMS TO KNOW
 
INDEX An unmanaged group of securities that is considered representative of the
stock or bond markets. An index does not take into account any fees or expenses
related to the individual securities that it tracks. However, for performance
comparisons, the index is adjusted to reflect reinvestment of dividends of the
securities in the index.

MARKET CAPITALIZATION Capitalization is a measure of the size of a publicly
traded company, as determined by multiplying the current price by the number of
shares outstanding. The market capitalization of a company has bearing on its
perceived earnings potential and risk. Small cap companies (less than $1
billion) may present the potential for greater growth than larger, more
established companies. On the other hand, the stock of small cap companies may
be expected to be more volatile and therefore a greater risk to capital.
 
TOTAL RETURN A fund's total return measures both the net investment income
generated by, and the effect of, any realized and unrealized appreciation or
depreciation of the underlying investments in its portfolio for the period.
Total return assumes the reinvestment of all dividends and it represents the
aggregate percentage or dollar value change over the period.
 
VOLATILITY The characteristic of an investment that causes it to rise or fall
sharply in price in a relatively short time period.
 

<PAGE>   3
GENERAL ECONOMIC OVERVIEW

[TIMBERS PHOTO]

STEPHEN B. TIMBERS IS PRESIDENT, CHIEF EXECUTIVE AND CHIEF INVESTMENT OFFICER
OF ZURICH KEMPER INVESTMENTS, INC. (ZKI). 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 five 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 has followed a spectacular 1995 with strength so far
this year.

  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 significantly 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 June, the U.S. economy entered its 63rd 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 spend 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>
<CAPTION>
                       Jobs Created            Jobs Lost
<S>                     <C>                     <C>
12/31/91                (300,000)               40,000
12/31/92                 120,000               (30,000)
12/31/93                 300,000                70,000
12/31/94                 180,000                70,000
12/31/95                 (80,000)              (40,000)
3/31/96                  490,000               (10,000)
</TABLE>

SOURCE: BUREAU OF LABOR STATISTICS

                                                                              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 economic 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
                             (4/30/96)     6 months ago      1 year ago   2 years ago 
<S>                          <C>            <C>               <C>          <C>
10-year Treasury rate(1)       6.51           5.93              6.63         7.18
Prime rate(2)                  8.25           8.75              9.00         6.99
Inflation rate(3)              2.90           2.60              3.12         2.29
The U.S. dollar(4)             8.94          -1.57            -10.02         2.34
Capital goods orders(5)        7.94          10.38             17.84        19.99
Industrial production(6)       2.56           1.71              3.31         6.22
Employment growth(7)           1.47          -1.55              2.30         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 its significant gain year to
date.

  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
 
STEPHEN B. TIMBERS
PRESIDENT, CHIEF INVESTMENT AND EXECUTIVE OFFICER
ZURICH KEMPER INVESTMENTS, INC.
 
June 5, 1996
 
4
<PAGE>   5
PERFORMANCE UPDATE

[FERRO PHOTO]

DENNIS FERRO JOINED ZURICH KEMPER INVESTMENTS, INC. (ZKI) IN 1994 AND IS AN
EXECUTIVE VICE PRESIDENT OF ZKI AND VICE PRESIDENT AND PORTFOLIO MANAGER OF
KEMPER INTERNATIONAL FUND. FERRO HOLDS AN M.B.A. IN FINANCE FROM ST. JOHN'S
UNIVERSITY IN NEW YORK AND A BACHELOR'S DEGREE FROM VILLANOVA UNIVERSITY IN
PENNSYLVANIA. HE IS A CHARTERED FINANCIAL ANALYST.

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.                   
 
THE LAST SIX MONTHS SAW A STRENGTHENING OF MULTIPLE OVERSEAS MARKETS,
ENCOURAGING KEMPER INTERNATIONAL FUND TO BROADEN THE DIVERSIFICATION OF THE
PORTFOLIO.
 
Q.    DENNIS, INTERNATIONAL MARKETS SEEMED TO HAVE PICKED UP SOME STEAM
IN THE LAST SIX MONTHS. WHAT'S RESPONSIBLE FOR THEIR IMPROVED PERFORMANCE?
 
A.    There is a perception that growth on a global basis is in place.
In some cases -- continental Europe, for example -- the growth is slow but it
continues to be positive. Governmental policies in general are predisposed
toward accommodating growth and, in Japan, growth has been supported by strong
fiscal and monetary medicine.
 
Q.    FOR THE LAST YEAR OR MORE, MARKET EXPERTS HAVE BEEN EXPECTING
INTERNATIONAL MARKETS TO CATCH UP WITH AND ULTIMATELY OUTPACE THE U.S. EQUITY
MARKET. IS THIS WHAT WE ARE BEGINNING TO SEE? 

A.    I suppose everyone believes that a tradeoff is inevitable and,
when you consider the length of the U.S. bull market, it makes sense that its
upward momentum loses some of its steam at some point. For the six-month period
from November 1, 1995, through April 30, 1996, international markets measured
by the EAFE Index* advanced 13.38 percent. That's just shy of the 13.76 percent
return of the Standard & Poor's 500 Stock Index** over the same time period.

April was the first month that EAFE outperformed the S&P 500 (EAFE gained 2.93%
while the S&P 500 gained 1.47%) but, of course, we can't read too much into the
performance of one month. One robin doesn't make a spring.
 
*THE EAFE INDEX (MORGAN STANLEY CAPITAL INTERNATIONAL EUROPE, AUSTRALASIA, FAR
EAST INDEX) IS AN UNMANAGED INDEX THAT IS A GENERALLY ACCEPTED BENCHMARK FOR
MAJOR OVERSEAS MARKETS.

**THE STANDARD & POOR'S 500 STOCK INDEX IS AN UNMANAGED INDEX THAT IS GENERALLY
CONSIDERED REPRESENTATIVE OF THE U.S. STOCK MARKET.
 
Q.    FOR THE SIX MONTH PERIOD ENDED APRIL 30, 1996, KEMPER
INTERNATIONAL FUND BETTERED EAFE'S PERFORMANCE BY ALMOST A FULL PERCENTAGE
POINT, WITH CLASS A SHARES ADVANCING 14.31 PERCENT. FOR THE ONE-YEAR PERIOD
ENDED APRIL 30, 1996, CLASS A SHARES OF THE FUND RANKED #28 OUT OF 281 FUNDS IN
THE INTERNATIONAL FUNDS CATEGORY TRACKED BY LIPPER ANALYTICAL SERVICES, INC.
(FOR THE RANKINGS OVER OTHER TIME PERIODS, PLEASE SEE PAGE 2.) HOW WAS THE FUND
POSITIONED TO BETTER PARTICIPATE IN THE ADVANCE OF INTERNATIONAL MARKETS?
 
A.    Our performance over these last six months was really a function
of broader diversification. Recently, we had been biased toward European
markets and away from Japan, whose economic recovery failed to materialize in
1995. While our specific investments in Europe continued to perform well for
us, we began late in 1995 to gradually
 
                                                                               5
<PAGE>   6
PERFORMANCE UPDATE
 
heighten our exposure to Japan as well as broaden our exposure to other markets.
 
      We have seen a lot of rotation in markets in the last several months --
Southeast Asia was strong for the first several weeks of 1996, for example, and
then went flat. At that point, Japan moved higher and then it turned quiet, as
well. Our earlier decision to more broadly diversify our holdings in multiple
markets provided us with the opportunity to always have some portion of our
equities moving forward.
 
      That's a strategy that can work when markets are mostly positive, as 
they have been lately. Only Finland, which we had eliminated almost all
of our holdings in, and South Africa, which we had no exposure to, lost ground
in the last six months, in U.S. dollar terms.
 
Q.    WHICH MARKETS LED PERFORMANCE FOR THE PERIOD?
 
A.    The Netherlands, Australia, Japan and France were the top performers. 
With the exception of Japan, the fund had fairly good exposure to these 
countries relative to the index.
 
Q.    WOULD YOU ELABORATE ON HOW YOUR OPINION TOWARD JAPAN HAS CHANGED?
 
A.    The last six months represented the fund's return in a meaningful
way to Japan. At its lowest point in the last six months, 15 percent of
the fund was invested in Japan. Encouraged by signs that an economic recovery
was finally underway, we've steadily increased our exposure to 31% by the end
of April. That's still an underweighted position compared to the composition of
the EAFE index, 41% of whose equities are Japan-based.
 
      We like what we're seeing in Japan. Its monetary policy is accommodative
toward growth. The value of the yen against the dollar has declined steadily
since its peak about one year ago, and that also helps stimulate growth and
exports. Retail sales are up and, for the first time in five years, Japanese
property rental prices are on the rise. We have a fairly broad-based exposure in
Japan -- 30 stocks each represent 1% positions. For liquidity reasons, we tend
not to own small capitalization stocks. The portfolio had been oriented toward
cyclical stocks but, in anticipation of economic growth taking hold and
consumers beginning to spend again, we've recently increased our retail
exposure.
 
Q.    THE FUND'S FAITH IN EUROPEAN MARKETS BOLSTERED PERFORMANCE LAST
YEAR. WHAT'S YOUR CURRENT THINKING ABOUT EUROPE?
 
A.    Growth has slowed fairly dramatically and it appears to be        
bottoming out without turning negative. Our reaction to the slowdown has been
to modestly reduce our overall exposure and focus on stocks with strong
noncyclical profit momentum. We were very overweighted in Europe in 1995 --
with European stocks representing as much as 63% of the portfolio in November.
At the end of April, about half of the portfolio was Europe-based, which is in
line with EAFE.

      Our specific exposure, however, has a very different composition than 
EAFE. In particular, we have about half the exposure to the United Kingdom (16%
of the EAFE is in UK equities versus 8% of Kemper International Fund). Economic
fundamentals just don't appear to support growth in the UK right now. The       
prospect of political change is keeping interest rates high, inflation is
higher than what you'll find elsewhere and the economy is slowing. On the other
hand, we have an overweighted position in the Netherlands and Sweden.

      One of our most recent successes in Europe has been in finding 
opportunities among smaller and middle capitalization companies. These
companies, with capitalizations of about $500 million to $1 billion, offer
attractive valuations and growth prospects. Companies like Getronics in the
Netherlands, WM-data in Sweden and British Bio-Technology Group in the UK are a
few examples.

      Taken together, the effect of broadening the base of the portfolio and
investing in smaller companies has increased the number of holdings in the
portfolio. While late last year the portfolio consisted of 86 stocks, we closed
April with 110. Such an expansion could place a burden on a more limited
research staff, but we're fortunate to have the capability to discover new
opportunities and to stay on top of their progress.
 
6
<PAGE>   7
PERFORMANCE UPDATE
 

Q.    WHICH OTHER MARKETS HAS THE FUND DIVERSIFIED INTO?
 
A.    As we've broadened our exposure, we've also added to our
Southeast Asian holdings. Hong Kong and Malaysia were two markets we found
attractive. Japan serves as an engine of growth for all of Asia, and its
improvement can have a ripple effect throughout the region. Elsewhere, Canada
is another market where we have found several individual companies with strong
growth and attractive valuations.
 
Q.    WHICH INDUSTRY SECTORS ARE YOU FAVORING NOW?
 
A.    We continue to like the pharmaceutical industry, especially those
companies with strong research and development and growing cash flow. In
addition, we like companies that help other companies become more efficient.
These include technology, telecommunication and work force management
providers.
 
Q.    WHICH INDIVIDUAL STOCKS, IN PARTICULAR, WERE TOP PERFORMERS?
 
A.    During the past six months, several of the mid-cap stocks
performed quite well. These include British Bio-Technology Group, Tabcorp
(Australia) and Aalberts Industries. Ciba-Geigy and Carrefour were among the
larger companies that made significant contributions.
 
Q.    WHAT ABOUT THE VALUE OF THE DOLLAR? WHAT EFFECT HAS ITS
STRENGTHENING HAD ON THE FUND'S PERFORMANCE?
 
A.    Our philosophy on currencies is purely defensive. As the U.S.
deficit has moderated and inflation has dropped to lower levels, we have used
currency hedges against a portion of our equity exposure. We use currency
forward contracts to help protect the portfolio against uncertainty in the
level of future foreign exchange rates, which provides the opportunity for us
to receive the positive returns resulting from stock movement while protecting
us from any adverse currency moves. Of course, there is no guarantee that these
strategies will be successful.
 
Q.    INTERNATIONAL MARKETS ARE KNOWN FOR THEIR UNPREDICTABLE WAYS, YET
IT SOUNDS AS THOUGH THEY HAVE BEEN BEHAVING RECENTLY. HAVE THERE BEEN ANY
SURPRISES?
 
A.    The strength in Latin American markets -- Mexico and Brazil, in
particular -- has been a surprise. The ongoing fiscal challenges facing these
countries contribute a great deal of volatility to these markets. Evidently,
investors are looking out a year or two and reacting to what could be an
improving situation. We continue to tread cautiously around these markets.
 
Q.    WHAT ARE YOU FORECASTING FOR THE NEXT SEVERAL MONTHS?
 
A.    A relatively positive environment that supports economic growth
and corporate earnings, which should lead to improved equity markets. We
believe Japan has the ability to surprise on the upside, and we look for a
resumption of growth in Europe in 1997.
 
Q.    AND WHAT ARE THE RISKS TO YOUR FORECAST? WHAT COULD STAND IN THE
WAY OF GROWTH NOT MATERIALIZING AS YOU EXPECT IT TO?
 
A.    The primary risks to our positive scenario appear to be in three areas:
First, political risk. Several elections, including in Russia, contain the
potential for a negative surprise. The second would be trade tensions.
While the last few years have been characterized by steady growth in world
trade, the potential for trade disputes remains very real. Third, a reversal in
the trend toward lower inflation would result in tighter monetary policies and
higher bond rates. However, we believe that inflation will remain within a
satisfactory range, even if it does move modestly higher over time.
 
                                                                               7
<PAGE>   8
COUNTRY SECTORS
 
WHEN ALL BUT ONE MAJOR INTERNATIONAL MARKET ADVANCED...
 
THE TOP-PERFORMING INTERNATIONAL MARKETS REPRESENTED IN THE EAFE INDEX FOR THE
SIX-MONTH PERIOD FROM NOVEMBER 1, 1995, TO APRIL 30, 1996, ADJUSTED FOR U.S.
DOLLARS.
 
                                 [BAR GRAPH]


<TABLE>
<S>             <C>
Malaysla        27.96%

Spain           24.61%  

Japan           18.16%

Italy           17.35%

Australia       16.25%

Hong Kong       15.97%

Singapore       15.90%

Netherlands     14.90%

France          14.77%

Ireland         13.83%

Norway          11.82%

Sweden           9.88%

Belgium          9.24%

Switzerland      8.22%

UK               5.40%

Denmark          4.75%  

Germany          4.56%

Austria          4.25%

New Zealand      2.18%
                  
Finland        -19.40%         

</TABLE>

SOURCE: MORGAN STANLEY CAPITAL INTERNATIONAL. THIS INFORMATION IS HISTORICAL AND
DOES NOT REPRESENT FUTURE RETURNS OF THESE MARKETS.
 
KEMPER INTERNATIONAL FUND BACKED AWAY FROM ITS EUROPEAN BIAS AND BROADENED ITS
EXPOSURE
 
                                 [BAR GRAPH]

<TABLE>
<CAPTION>
                        Kemper          Kemper            EAFE 
                        International   International     Index
                        Fund on         Fund on             on
                        4/30/96         10/31/95          4/30/96
- -------------------------------------------------------------------------  
<S>                     <C>             <C>               <C>

Japan                       31.1%           16.1%          41.1%
                                                                
United Kingdom               8.1%           15.3%          16.2%
                                                                
Germany                      3.5%            4.6%           6.6% 
                                                                
France                       6.1%            4.1%           6.5% 
                                                                
Switzerland                  5.2%            8.4%           5.8% 
                                                                
Netherlands                 10.7%            8.1%           4.0% 
                                                                
Hong Kong                    4.8%            6.3%           3.3% 
                                                                
Australia                    2.3%            3.8%           2.7% 
                                                                
Italy                        1.4%            2.1%           2.4% 
                                                                
Malaysia                     2.9%            1.7%           2.5% 

</TABLE>


 
8
<PAGE>   9
LARGEST HOLDINGS
 
KEMPER INTERNATIONAL FUND'S
 
TOP 5 HOLDINGS FOCUS ON GROWTH
 
A COMPARISON OF THE FUND'S TOP FIVE HOLDINGS ON APRIL 30, 1996, WITH ITS TOP
FIVE HOLDINGS ON OCTOBER 31, 1995
 
<TABLE>
<CAPTION>
- -----------------------------------------------------------------
               HOLDINGS        AT 4/30/96            AT 10/31/95
- -----------------------------------------------------------------
<S>    <C>                     <C>            <C>          <C>
1.     CIBA-GEIGY                     2.7%    ROCHE          4.5%
       SWITZERLAND                            HOLDINGS
                                              SWITZERLAND
- -----------------------------------------------------------------
2.     ROCHE HOLDINGS                 2.6%    LM             3.6%
       SWITZERLAND                            ERICSSON
                                              SWEDEN
- -----------------------------------------------------------------
3.     GLAXO WELLCOME                 2.0%    POLYGRAM       3.5%
       UNITED KINGDOM                         NETHERLANDS
- -----------------------------------------------------------------
4.     ASTRA                          2.0%    CARREFOUR      3.2%
       SWEDEN                                 FRANCE
- -----------------------------------------------------------------
5.     VEBA                           1.8%    ASTRA          3.0%
       GERMANY                                SWEDEN
- -----------------------------------------------------------------
</TABLE>
 
                                                                               9
<PAGE>   10
PORTFOLIO INVESTMENTS
 
KEMPER INTERNATIONAL FUND
 
PORTFOLIO OF INVESTMENTS APRIL 30, 1996
(DOLLARS IN THOUSANDS)
 
<TABLE>
<CAPTION>
- ----------------------------------------------------------------------------------------------------------------
COMMON STOCKS                                                                 NUMBER OF SHARES       VALUE
- ----------------------------------------------------------------------------------------------------------------
<S>                              <C>                                                 <C>           <C>      
EUROPE
- ----------------------------------------------------------------------------------------------------------------
DENMARK--.6%
                                 Copenhagen Airports
                                   AIRPORT OPERATOR                                      27,000    $  2,512
- ----------------------------------------------------------------------------------------------------------------
FRANCE--6.1%
                                 Axa Group
                                   INSURANCE COMPANY                                     85,000       5,055
                                 Carrefour S.A.
                                   FOOD RETAILER                                          7,000       5,460
                                 Christian Dior S.A.
                                   TEXTILES AND APPAREL MANUFACTURER                      7,500         998
                                 Elf Aquitaine
                                   OIL AND GAS PRODUCER                                  66,000       4,899
                                 Moet Hennessy Louis Vuitton
                                   LUXURY GOODS PRODUCER                                 27,000       6,894
                                 Technip S.A.
                                   ENGINEERING COMPANY                                   50,000       4,490
                                 -------------------------------------------------------------------------------
                                                                                                     27,796
- ----------------------------------------------------------------------------------------------------------------
GERMANY--3.5%
                                 Allianz A.G. Holding
                                   INSURANCE COMPANY                                      1,400       2,401
                                 Mannesmann A.G.
                                   CAPITAL GOODS PRODUCER                                11,000       3,751
                                 SGL CARBON A.G.
                                   CHEMICAL COMPANY                                      15,000       1,413
                                 Veba, A.G.
                                   ELECTRIC UTILITY                                     168,000       8,337
                                 -------------------------------------------------------------------------------
                                                                                                     15,902
- ----------------------------------------------------------------------------------------------------------------
IRELAND--3.8%
                                 Bank of Ireland
                                   BANKING                                              783,433       5,612
                                 Greencore Group PLC
                                   FOOD PRODUCER                                        862,496       4,110
                                 Independant Newspapers PLC
                                   PUBLISHER                                            600,000       4,982
                                 Kerry Group PLC
                                   FOOD PROCESSING                                      296,070       2,734
                                 -------------------------------------------------------------------------------
                                                                                                     17,438
- ----------------------------------------------------------------------------------------------------------------
ITALY--1.4%
                             (a) Bulgari SpA
                                   LUXURY GOODS PRODUCER                                155,000       1,932
                                 Telecom Italia Mobile
                                   MOBILE TELECOMMUNICATIONS PROVIDER                 1,980,000       4,335
                                 -------------------------------------------------------------------------------
                                                                                                      6,267
- ----------------------------------------------------------------------------------------------------------------
</TABLE>
 
10
<PAGE>   11
PORTFOLIO INVESTMENTS

(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
- -----------------------------------------------------------------------------------------------------------
                                                                               NUMBER OF SHARES       VALUE
- -----------------------------------------------------------------------------------------------------------
<S>                              <C>                                                 <C>           <C>     
NETHERLANDS--10.7%
                                 Aalberts Industries N.V.
                                   CAPITAL GOODS AND COMPONENTS                          28,373    $  2,274
                                 Aegon N.V.
                                   INSURANCE COMPANY                                     70,000       3,329
                                 DSM N.V.
                                   CHEMICAL COMPANY                                      47,500       4,844
                                 Getronics N.V.
                                   SYSTEMS INTEGRATION SERVICES                          30,538       2,118
                                 GTI Holding
                                   ENGINEERING SERVICES                                  14,100       1,389
                                 (a)Gucci Group N.V.
                                   LUXURY GOODS PRODUCER                                 41,250       2,231
                                 Heineken N.V.
                                   BREWERY                                               21,000       4,389
                                 IHC Caland N.V.
                                   MARINE TECHNOLOGY HOLDING COMPANY                     63,000       2,471
                                 Internationale Nederlanden Groep
                                   BANKING                                               93,000       7,170
                                 Koninklijke Ahold N.V.
                                   RETAILER                                              70,500       3,472
                                 PolyGram N.V.
                                   MUSIC RECORDING COMPANY                               51,420       3,056
                                 Randstad Holding N.V.
                                   BUSINESS SERVICES                                     55,500       3,551
                                 VNU BV
                                   PUBLISHER                                            195,700       3,285
                                 Wolters Kluwer
                                   PUBLISHER                                             45,000       4,912
                                 --------------------------------------------------------------------------
                                                                                                     48,491
- -----------------------------------------------------------------------------------------------------------
NORWAY--.3%
                                 Schibsted A/S
                                   PUBLISHER                                             88,460       1,290
- -----------------------------------------------------------------------------------------------------------
SPAIN--3.0%
                                 Banco Bilbao Vizcaya
                                   BANKING                                              114,380       4,342
                                 Empresa Nacional de Electricidad S.A.
                                   ELECTRIC UTILITY                                      61,000       3,827
                                 Iberdrola, S.A.
                                   ELECTRIC UTILITY                                     300,000       2,932
                                 Pryca Cuntros
                                   RETAILER                                             110,000       2,535
                                 --------------------------------------------------------------------------
                                                                                                     13,636
- -----------------------------------------------------------------------------------------------------------
SWEDEN--4.0%
                                 Astra AB
                                   PHARMACEUTICAL COMPANY                               200,000       8,871
                                 LM Ericsson Telephone Co. "B"
                                   TELECOMMUNICATIONS EQUIPMENT MANUFACTURER            200,000       4,046
                                 Getinge Industrier AB
                                   MEDICAL SUPPLY COMPANY                                27,600       1,449
                                 Hoganas AB
                                   ENGINEERING COMPANY                                   68,000       2,251
                                 (a)WM-data AB
                                   COMPUTER CONSULTING COMPANY                           31,300       1,570
                                 --------------------------------------------------------------------------
                                                                                                     18,187
- -----------------------------------------------------------------------------------------------------------
</TABLE>
 
                                                                              11
<PAGE>   12
PORTFOLIO OF INVESTMENTS

(DOLLARS IN THOUSANDS)
 
<TABLE>
<CAPTION>
- -------------------------------------------------------------------------------------------------------------
                                                                               NUMBER OF SHARES       VALUE
- -------------------------------------------------------------------------------------------------------------
<S>                              <C>                                                 <C>           <C>      
SWITZERLAND--5.2%
                                 Ciba-Geigy Limited
                                   PHARMACEUTICAL COMPANY                                10,500    $ 12,156
                                 Roche Holdings AG
                                   PHARMACEUTICAL COMPANY                                 1,487      11,666
                                 ----------------------------------------------------------------------------
                                                                                                     23,822
- -------------------------------------------------------------------------------------------------------------
UNITED KINGDOM--8.1%
                                 BBA Group PLC
                                   AUTOMOTIVE PRODUCTS MANUFACTURER AND
                                   DISTRIBUTOR                                          720,000       3,755
                                 (a)British Bio-Technology Group
                                   PHARMACEUTICAL COMPANY                                90,000       3,950
                                 Burton Group PLC
                                   RETAILER                                           3,200,000       7,515
                                 Dixons Group PLC
                                   ELECTRONICS RETAILER                                 612,328       4,530
                                 Glaxo Wellcome
                                   PHARMACEUTICAL COMPANY                               750,000       9,071
                                 (a)Millenium & Co.
                                   HOTEL OPERATOR                                       126,000         607
                                 Reed International PLC
                                   PUBLISHER                                            440,000       7,547
                                 ----------------------------------------------------------------------------
                                                                                                     36,975
                                 ----------------------------------------------------------------------------
                                 TOTAL EUROPEAN COUNTRIES--46.7%                                    212,316
- -------------------------------------------------------------------------------------------------------------
PACIFIC REGION
- -------------------------------------------------------------------------------------------------------------
HONG KONG--4.8%
                                 CITIC Pacific Ltd.
                                   CONGLOMERATE                                         800,000       3,144
                                 Cheung Kong Holding Ltd.
                                   REAL ESTATE                                          525,000       3,750
                                 China Light & Power Co. Ltd.
                                   ELECTRIC COMPANY                                     550,000       2,595
                                 Dao Heng Bank Ltd.
                                   BANKING                                              550,000       2,105
                                 Guangdong Investment Ltd.
                                   CONGLOMERATE                                       4,700,000       2,901
                                 HSBC Holdings PLC
                                   BANKING                                              249,849       3,731
                                 Swire Pacific Ltd.
                                   CONGLOMERATE                                         450,000       3,839
                                 ----------------------------------------------------------------------------
                                                                                                     22,065
- -------------------------------------------------------------------------------------------------------------
</TABLE>
 
12
<PAGE>   13
PORTFOLIO OF INVESTMENTS

(DOLLARS IN THOUSANDS)
 
<TABLE>
<CAPTION>
- ----------------------------------------------------------------------------------------------------------------
                                                                               NUMBER OF SHARES       VALUE
- ----------------------------------------------------------------------------------------------------------------
<S>                              <C>                                                 <C>           <C>      
JAPAN--31.1%
                              (a)Bank of Tokyo - Mitsubishi Ltd.
                                   BANKING                                              236,250    $  5,458
                                 Bridgestone Corp.
                                   RUBBER RELATED PRODUCTS MANUFACTURER                 270,000       5,000
                              (a)Daicel Chemical Industries, Ltd.
                                   CHEMICAL COMPANY                                     450,000       2,998
                                 Daifuku Co., Ltd.
                                   DIVERSIFIED MACHINERY MANUFACTURER                   210,000       3,308
                                 Ishikawajima-Harima Heavy Industries
                                   HEAVY MACHINERY MANUFACTURER                         930,000       4,617
                                 Kyocera Corp.
                                   ELECTRONICS MANUFACTURER                              90,000       6,770
                                 Mabuchi Motor Co., Ltd.
                                   ENGINE MANUFACTURER                                   85,000       5,226
                                 Matsushita Electric Industrial Co., Ltd.
                                   ELECTRONICS MANUFACTURER                             420,000       7,417
                                 Mitsubishi Heavy Industries
                                   INDUSTRIAL EQUIPMENT MANUFACTURER                    500,000       4,458
                                 Miura Co., Ltd.
                                   BOILER MAKER                                         120,000       2,234
                                 Murata Manufacturing
                                   ELECTRONIC COMPONENTS MANUFACTURER                   120,000       4,651
                                 NEC Corporation
                                   ELECTRONICS MANUFACTURER                             540,000       6,856
                                 NKK Corp.
                                   STEEL MANUFACTURER                                 1,000,000       3,131
                                 New Japan Securities Co., Ltd.
                                   SECURITIES BROKER                                    450,000       3,114
                                 Nippon Express
                                   TRANSPORTATION COMPANY                               550,000       5,723
                                 Nomura Securities Co., Ltd.
                                   BROKERAGE COMPANY                                    190,000       4,135
                                 Olympus Optical Co., Ltd.
                                   CAMERA AND OPTICAL EQUIPMENT MANUFACTURER            425,000       4,585
                                 Seven Eleven Japan Co., Ltd.
                                   CONVENIENCE RETAILER                                  28,600       2,023
                                 Shimizu Corp.
                                   CONSTRUCTION COMPANY                                 380,000       4,353
                                 Sony Music Entertainment
                                   ENTERTAINMENT SOFTWARE COMPANY                        83,400       4,514
                                 Sumitomo Bank Ltd.
                                   BANKING                                              215,000       4,597
                                 Sumitomo Corp.
                                   GENERAL TRADING COMPANY                              400,000       4,773
                                 Sumitomo Metal Industries
                                   STEEL MANUFACTURER                                 1,540,000       4,940
                                 Sumitomo Trust & Banking
                                   BANKING                                              480,000       7,011
                                 Taisei Corp.
                                   CONSTRUCTION COMPANY                                 740,000       5,722
                                 Teijin Ltd.
                                   TEXTILE MANUFACTURER                                 750,000       4,117
                                 Tokyo Style
                                   WOMEN'S APPAREL MANUFACTURER                         275,000       4,883
                                 Tokyu Department Store
                                   RETAILER                                             765,000       5,404
                                 Toray Industries
                                   TEXTILE MANUFACTURER                                 850,000       5,777
                                 Tsubakimoto Chain Co.
                                   CHAIN AND CONVEYOR MANUFACTURER                      500,000       3,527
                                 -------------------------------------------------------------------------------
                                                                                                    141,322
- ----------------------------------------------------------------------------------------------------------------
</TABLE>
 
                                                                              13
<PAGE>   14
PORTFOLIO OF INVESTMENTS

(DOLLARS IN THOUSANDS)
 
<TABLE>
<CAPTION>
- ------------------------------------------------------------------------------------------------------------
                                                                               NUMBER OF SHARES       VALUE 
- ------------------------------------------------------------------------------------------------------------
<S>                              <C>                                                 <C>           <C>      
MALAYSIA--2.9%                                                                                              
                                 DCB Holdings Bhd                                                           
                                   BANKING                                            1,150,000    $  4,196 
                                 Hong Leong Industries Berhad                                               
                                   CONGLOMERATE                                         450,000       2,436 
                                 Hume Industries Bhd                                                        
                                   CONSTRUCTION MATERIAL MANUFACTURER                   450,000       2,562 
                                 KFC Holdings Bhd                                                           
                                   RESTAURANT                                           187,000       1,125 
                                 Renong Berhad                                                              
                                   CONGLOMERATE                                       1,750,000       3,046 
                                 ---------------------------------------------------------------------------
                                                                                                     13,365 
- ------------------------------------------------------------------------------------------------------------
SINGAPORE--1.5%                                                                                             
                                 Development Bank of Singapore                                              
                                   BANKING                                              245,000       3,102 
                                 Fraser & Neave Ltd.                                                        
                                   BEER AND SOFT DRINK MANUFACTURER                     182,000       2,019 
                                 Jurong Shipyard Ltd.                                                       
                                   SHIPYARD COMPANY                                     281,000       1,609 
                                 ---------------------------------------------------------------------------
                                                                                                      6,730 
- ------------------------------------------------------------------------------------------------------------
THAILAND--1.4%                                                                                              
                                 Advanced Info Service Ltd.                                                 
                                   TELECOMMUNICATION SERVICES                           140,000       2,373 
                                 Shinawatra Computer Co.                                                    
                                   COMPUTER EQUIPMENT DISTRIBUTOR                        90,000       2,153 
                                 Siam Cement Co. Ltd.                                                       
                                   BUILDING MATERIALS PRODUCER                           17,000         875 
                                 Siam City Bank                                                             
                                   BANKING                                              625,000         749 
                                 ---------------------------------------------------------------------------
                                                                                                      6,150 
                                 ---------------------------------------------------------------------------
                                 TOTAL PACIFIC REGION--41.7%                                        189,632 
- ------------------------------------------------------------------------------------------------------------
COMMONWEALTH COUNTRIES                                                                                      
- ------------------------------------------------------------------------------------------------------------
AUSTRALIA--2.3%                                                                                             
                                 Mayne Nickless Ltd.                                                        
                                   TRANSPORT, SECURITY AND HEALTH CARE COMPANY          913,000       5,478 
                                 Tabcorp Holdings Ltd.                                                      
                                   ENTERTAINMENT AND GAMING                           1,193,700       4,946 
                                 ---------------------------------------------------------------------------
                                                                                                     10,424 
- ------------------------------------------------------------------------------------------------------------
CANADA--5.1%                                                                                                
                              (a)Architel                                                                
                                   COMPUTER SOFTWARE COMPANY                             69,600         634 
                                 CAE Inc.                                                                   
                                   FLIGHT SIMULATOR PRODUCER                            514,300       4,473 
                                 Canadian National Railway Company                                          
                                   RAILWAY COMPANY                                      233,700       4,440 
                                 Petro-Canada                                                               
                                   OIL AND GAS COMPANY                                  645,300       4,517 
                              (a)Philip Environmental                                                    
                                   WASTE COLLECTION AND RECYCLING COMPANY               542,300       4,406 
                                 Shaw Communications                                                        
                                   CABLE TELEVISION COMPANY                             583,800       4,285 
                              (a)Upper Canadian Brewing                                                  
                                   BREWERY                                              114,500         605 
                                 ---------------------------------------------------------------------------
                                                                                                     23,360 
- ------------------------------------------------------------------------------------------------------------
</TABLE>
 
14
<PAGE>   15
PORTFOLIO OF INVESTMENTS

(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
- ----------------------------------------------------------------------------------------------------------------
                                                                               NUMBER OF SHARES       VALUE
- ----------------------------------------------------------------------------------------------------------------
<S>                              <C>                                                 <C>           <C>      
NEW ZEALAND--1.0%
                                 Lion Nathan Ltd.
                                     BEER AND SOFT DRINK MANUFACTURER                   1,796,800  $  4,479
                                 -------------------------------------------------------------------------------
                                 TOTAL COMMONWEALTH COUNTRIES--8.4%                                  38,263
                                 -------------------------------------------------------------------------------
                                 TOTAL COMMON STOCKS--96.8%
                                 (Cost: $370,577)                                                   440,211
                                 -------------------------------------------------------------------------------
 
<CAPTION>
- ----------------------------------------------------------------------------------------------------------------
                                                                               PRINCIPAL AMOUNT       VALUE
- ----------------------------------------------------------------------------------------------------------------
<S>                              <C>                                                 <C>           <C>      
MONEY MARKET
INSTRUMENTS--3.8%
                                 Yield--5.42% to 5.48%
                                 Due--May 1996
                                 (Cost: $17,554)                                          $17,600    17,548
                                 -------------------------------------------------------------------------------
                                 TOTAL INVESTMENTS--100.6%
                                 (Cost: $388,131)                                                   457,759
                                 -------------------------------------------------------------------------------
                                 LIABILITIES, LESS CASH AND OTHER
                                 ASSETS--(.6)%                                                       (2,863)
                                 -------------------------------------------------------------------------------
                                 NET ASSETS--100%                                                  $454,896
                                 -------------------------------------------------------------------------------

                                 At April 30, 1996, the Fund's portfolio of investments had the following 
                                 industry diversification (dollars in thousands):
                                 
                                                                                          VALUE         %
                                 -------------------------------------------------------------------------------
                                 <S>                                                     <C>          <C>  
                                 Finance                                                 $ 88,774      19.6
                                 -------------------------------------------------------------------------------
                                 Consumer Cyclicals                                        58,192      12.8
                                 -------------------------------------------------------------------------------
                                 Capital Goods                                             50,520      11.1
                                 -------------------------------------------------------------------------------
                                 Basic Industries                                          48,998      10.8
                                 -------------------------------------------------------------------------------
                                 Technology                                                48,399      10.6
                                 -------------------------------------------------------------------------------
                                 Health Care                                               47,163      10.4
                                 -------------------------------------------------------------------------------
                                 Consumer Staples                                          44,285       9.7
                                 -------------------------------------------------------------------------------
                                 Utilities                                                 22,026       4.8
                                 -------------------------------------------------------------------------------
                                 Transportation                                            18,153       4.0
                                 -------------------------------------------------------------------------------
                                 Energy                                                     9,416       2.1
                                 -------------------------------------------------------------------------------
                                 Consumer Durables                                          4,285        .9
                                 -------------------------------------------------------------------------------
                                 TOTAL COMMON STOCKS                                      440,211      96.8
                                 -------------------------------------------------------------------------------
                                 OTHER NET ASSETS                                          14,685       3.2
                                 -------------------------------------------------------------------------------
                                 NET ASSETS                                              $454,896     100.0
                                 -------------------------------------------------------------------------------
</TABLE>

- ------------------------------------------------------------------------------
NOTES TO PORTFOLIO OF INVESTMENTS                                         
- ------------------------------------------------------------------------------
 
(a) Non-income producing security.
 
    Based on the cost of investments of $388,131,000 for federal income tax
    purposes at April 30, 1996, the gross unrealized appreciation was
    $72,583,000, the gross unrealized depreciation was $2,955,000 and the net
    unrealized appreciation on investments was $69,628,000.
 
    See accompanying Notes to Financial Statements.
 
                                                                              15
<PAGE>   16
FINANCIAL STATEMENTS
 
STATEMENT OF ASSETS AND LIABILITIES
April 30, 1996
(IN THOUSANDS)
 
 
<TABLE>
<S>                                                                                            <C>
- -------------------------------------------------------------------------------------------------------
ASSETS
- -------------------------------------------------------------------------------------------------------

Investments, at value
(Cost: $388,131)                                                                               $457,759
- -------------------------------------------------------------------------------------------------------
Cash                                                                                              2,171
- -------------------------------------------------------------------------------------------------------
Receivable for:
  Fund shares sold                                                                                  289
- -------------------------------------------------------------------------------------------------------
  Investments sold                                                                                5,597
- -------------------------------------------------------------------------------------------------------
  Dividends and interest                                                                          1,769
- -------------------------------------------------------------------------------------------------------
    TOTAL ASSETS                                                                                467,585

- -------------------------------------------------------------------------------------------------------
LIABILITIES AND NET ASSETS
- -------------------------------------------------------------------------------------------------------
 
Payable for:
  Fund shares redeemed                                                                              154
- -------------------------------------------------------------------------------------------------------
  Investments purchased                                                                          11,853
- -------------------------------------------------------------------------------------------------------
  Management fee                                                                                    269
- -------------------------------------------------------------------------------------------------------
  Distribution services fee                                                                          48
- -------------------------------------------------------------------------------------------------------
  Administrative services fee                                                                        92
- -------------------------------------------------------------------------------------------------------
  Custodian and transfer agent fees and related expenses                                            256
- -------------------------------------------------------------------------------------------------------
  Other                                                                                              17
- -------------------------------------------------------------------------------------------------------
    Total liabilities                                                                            12,689
- -------------------------------------------------------------------------------------------------------
NET ASSETS                                                                                     $454,896
- -------------------------------------------------------------------------------------------------------
ANALYSIS OF NET ASSETS
- -------------------------------------------------------------------------------------------------------

Paid-in capital                                                                                $357,864
- -------------------------------------------------------------------------------------------------------
Undistributed net realized gain on investments and foreign currency transactions                 27,137
- -------------------------------------------------------------------------------------------------------
Net unrealized appreciation on investments and assets and liabilities in foreign currencies      69,323
- -------------------------------------------------------------------------------------------------------
Undistributed net investment income                                                                 572
- -------------------------------------------------------------------------------------------------------
NET ASSETS APPLICABLE TO SHARES OUTSTANDING                                                    $454,896

- -------------------------------------------------------------------------------------------------------
THE PRICING OF SHARES
- -------------------------------------------------------------------------------------------------------

CLASS A SHARES
  Net asset value and redemption price per share
  ($354,881 / 29,769 shares outstanding)                                                         $11.92
- -------------------------------------------------------------------------------------------------------
  Maximum offering price per share
  (net asset value, plus 6.10% of
  net asset value or 5.75% of offering price)                                                    $12.65
- -------------------------------------------------------------------------------------------------------
CLASS B SHARES
  Net asset value and redemption price
  (subject to contingent deferred sales charge) per share
  ($78,499 / 6,638 shares outstanding)                                                           $11.83
- -------------------------------------------------------------------------------------------------------
CLASS C SHARES
  Net asset value and redemption price
  (subject to contingent deferred sales charge) per share
  ($4,305 / 364 shares outstanding)                                                              $11.83
- -------------------------------------------------------------------------------------------------------
CLASS I SHARES
  Net asset value and redemption price per share
  ($17,211 / 1,443 shares outstanding)                                                           $11.93
- -------------------------------------------------------------------------------------------------------
</TABLE>
 
See accompanying Notes to Financial Statements.
 
16
<PAGE>   17
STATEMENT OF OPERATIONS
Six months ended April 30, 1996
(IN THOUSANDS)

<TABLE>
<S>                                                                                             <C>
- -------------------------------------------------------------------------------------------------------
 NET INVESTMENT INCOME
- -------------------------------------------------------------------------------------------------------
 
  Dividends                                                                                     $ 3,418
- -------------------------------------------------------------------------------------------------------
  Interest                                                                                          559
- -------------------------------------------------------------------------------------------------------
                                                                                                  3,977
- -------------------------------------------------------------------------------------------------------
  Less foreign taxes withheld                                                                       360
- -------------------------------------------------------------------------------------------------------
    Total investment income                                                                       3,617
- -------------------------------------------------------------------------------------------------------
Expenses:
  Management fee                                                                                  1,466
- -------------------------------------------------------------------------------------------------------
  Administrative services fee                                                                       446
- -------------------------------------------------------------------------------------------------------
  Distribution services fee                                                                         222
- -------------------------------------------------------------------------------------------------------
  Custodian and transfer agent fees and related expenses                                          1,274
- -------------------------------------------------------------------------------------------------------
  Professional fees                                                                                  36
- -------------------------------------------------------------------------------------------------------
  Reports to shareholders                                                                            62
- -------------------------------------------------------------------------------------------------------
  Trustees' fees and other                                                                           39
- -------------------------------------------------------------------------------------------------------
    Total expenses                                                                                3,545
- -------------------------------------------------------------------------------------------------------
NET INVESTMENT INCOME                                                                                72
- -------------------------------------------------------------------------------------------------------

 NET REALIZED AND UNREALIZED GAIN ON INVESTMENTS

- -------------------------------------------------------------------------------------------------------
 
  Net realized gain on sales of investments and foreign currency transactions                    29,876
- -------------------------------------------------------------------------------------------------------
  Change in net unrealized appreciation on investments and assets and liabilities in foreign
  currencies                                                                                     23,466
- -------------------------------------------------------------------------------------------------------
Net gain on investments                                                                          53,342
- -------------------------------------------------------------------------------------------------------
NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                                            $53,414
- -------------------------------------------------------------------------------------------------------
</TABLE>
 
STATEMENT OF CHANGES IN NET ASSETS
 
(IN THOUSANDS)
 
<TABLE>
<CAPTION>
                                                                        SIX MONTHS
                                                                          ENDED                YEAR ENDED
                                                                        APRIL 30,              OCTOBER 31,
                                                                           1996                   1995
<S>                                                                     <C>                    <C>
- ----------------------------------------------------------------------------------------------------------
 OPERATIONS, DIVIDENDS AND CAPITAL SHARE ACTIVITY
- ----------------------------------------------------------------------------------------------------------

  Net investment income                                                  $     72                  2,166
- ----------------------------------------------------------------------------------------------------------
  Net realized gain                                                        29,876                  1,123
- ----------------------------------------------------------------------------------------------------------
  Change in net unrealized appreciation                                    23,466                   (655)
- ----------------------------------------------------------------------------------------------------------
Net increase in net assets resulting from operations                       53,414                  2,634
- ----------------------------------------------------------------------------------------------------------
Net equalization credits (charges)                                            543                   (332)
- ----------------------------------------------------------------------------------------------------------
  Distribution from net investment income                                  (3,561)                    --
- ----------------------------------------------------------------------------------------------------------
  Distribution from net realized gain                                      (1,726)               (24,455)
- ----------------------------------------------------------------------------------------------------------
Total dividends to shareholders                                            (5,287)               (24,455)
- ----------------------------------------------------------------------------------------------------------
Net increase (decrease) from capital share transactions                    41,518                (31,421)
- ----------------------------------------------------------------------------------------------------------
TOTAL INCREASE (DECREASE) IN NET ASSETS                                    90,188                (53,574)

- ----------------------------------------------------------------------------------------------------------
 NET ASSETS
- ----------------------------------------------------------------------------------------------------------
 
Beginning of period                                                       364,708                418,282
- ----------------------------------------------------------------------------------------------------------
END OF PERIOD (including undistributed
net investment income of $572 and $1,320, respectively)                  $454,896                364,708
- ----------------------------------------------------------------------------------------------------------
</TABLE>
 
                                                                              17
<PAGE>   18
NOTES TO FINANCIAL STATEMENTS
 
- --------------------------------------------------------------------------------
1    DESCRIPTION OF THE FUND Kemper International 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
                             upon 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 ACCOUNTING
     POLICIES                INVESTMENT VALUATION. Investments are stated at
                             value. Portfolio securities that are traded on a
                             domestic securities exchange are valued at the last
                             sale price on that exchange or, if there is no
                             recent last sale price available, 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. A
                             security that is listed or traded on more than one
                             exchange is valued at the quotation on the exchange
                             determined to be the primary market for such
                             security by the Board of Trustees or its delegates.
                             All other securities not so traded 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. Exchange traded
                             fixed income options are valued at the last sale
                             price unless there is no sale price, in which event
                             prices provided by market makers are used.
                             Over-the-counter traded fixed income options are
                             valued based upon current prices provided by market
                             makers. 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 and
                             foreign currencies are valued at the forward and
                             current exchange rates, respectively, 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.
 
                             CURRENCY TRANSLATION. The books and records of the
                             Fund are maintained in U.S. dollars. All assets and
                             liabilities initially expressed in foreign currency
                             values are converted into U.S. dollar values at the
                             mean between
 
18
<PAGE>   19
NOTES TO FINANCIAL STATEMENTS
 
                             the bid and offered quotations of such currencies
                             against U.S. dollars as last quoted by a recognized
                             dealer. If such quotations are not readily
                             available, the rate of exchange is determined in
                             good faith by the Board of Trustees. Income and
                             expenses and purchases and sales of investments are
                             translated into U.S. dollars at the rate of
                             exchange prevailing on the respective dates of such
                             transactions. The Fund includes that portion of the
                             results of operations resulting from changes in
                             foreign exchange rates with net realized and
                             unrealized gain (loss) on investments, as
                             appropriate.
 
                             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, except that certain dividends
                             from foreign securities are recorded as soon as the
                             information is available to the Fund. 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 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. Because of the need to
                             obtain prices as of the close of trading on various
                             exchanges throughout the world, the calculation of
                             net asset value does not take place
                             contemporaneously with the determination of the
                             prices of the majority of the portfolio securities.
 
                             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 April 30, 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 WITH
     AFFILIATES              MANAGEMENT AGREEMENT. The Fund has a management
                             agreement with Zurich Kemper Investments, Inc.
                             (ZKI) (formerly known as Kemper Financial Services,
                             Inc.) and pays a management fee at an annual rate
                             of .75% of the first $250 million of average daily
                             net assets declining to
 
                                                                              19
<PAGE>   20
NOTES TO FINANCIAL STATEMENTS
 
                             .62% of average daily net assets in excess of $12.5
                             billion. The Fund incurred a management fee of
                             $1,466,000 for the six months ended April 30, 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
                             April 30, 1996                         $50,000           358,000              16,000
</TABLE>
 
                             For services under the distribution services
                             agreement, the Fund pays KDI a fee of .75% of
                             average daily net assets of the 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 Class C shares and the CDSC received in
                             connection with the redemption of such 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
                             April 30, 1996                            $277,000           422,000           10,000
</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
                             April 30, 1996                            $466,000           455,000           11,000
</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 $726,000
                             for the six months ended April 30, 1996.
 
                             OFFICERS AND TRUSTEES. Certain officers or trustees
                             of the Fund are also officers or directors of ZKI.
                             During the six months ended April 30, 1996, the
                             Fund made no payments to its officers and incurred
                             trustees' fees of $12,000 to independent trustees.
 
- --------------------------------------------------------------------------------
4    INVESTMENT
     TRANSACTIONS            For the six months ended April 30, 1996, investment
                             transactions (excluding short-term instruments) are
                             as follows (in thousands):
 
                             Purchases                                  $278,609
                             Proceeds from sales                         247,561
 
20
<PAGE>   21
NOTES TO FINANCIAL STATEMENTS
 
- --------------------------------------------------------------------------------
5    CAPITAL SHARE
     TRANSACTIONS            The following table summarizes the activity in
                             capital shares of the Fund (in thousands):
 
<TABLE>
<CAPTION>
                                                           SIX MONTHS ENDED APRIL                  YEAR ENDED
                                                                  30, 1996                      OCTOBER 31, 1995
                                                           -----------------------           -----------------------
                                                           SHARES         AMOUNT             SHARES         AMOUNT
                                      ----------------------------------------------------------------------------
                                      <S>                  <C>           <C>                 <C>           <C>
                                       SHARES SOLD
                                      ----------------------------------------------------------------------------

                                       Class A               5,364       $  57,735             7,931     $  80,769
                                      ----------------------------------------------------------------------------
                                       Class B               3,352          36,832             3,584        37,196
                                      ----------------------------------------------------------------------------
                                       Class C                 191           2,096               258         2,721
                                      ----------------------------------------------------------------------------
                                       Class I                 603           6,618             1,261        12,905
                                      ----------------------------------------------------------------------------
                                       SHARES ISSUED IN REINVESTMENT OF DIVIDENDS
                                      ----------------------------------------------------------------------------
                                       Class A                 429           4,323             2,270        21,800
                                      ----------------------------------------------------------------------------
                                       Class B                  26             265               184         1,759
                                      ----------------------------------------------------------------------------
                                       Class C                   1              14                 7            71
                                      ----------------------------------------------------------------------------
                                       Class I                  23             240                --            --
                                      ----------------------------------------------------------------------------
                                       SHARES REDEEMED
                                      ----------------------------------------------------------------------------
                                       Class A              (5,169)        (54,756)          (16,162)     (163,479)
                                      ----------------------------------------------------------------------------
                                       Class B                (726)         (7,932)           (2,182)      (22,527)
                                      ----------------------------------------------------------------------------
                                       Class C                 (34)           (365)             (130)       (1,375)
                                      ----------------------------------------------------------------------------
                                       Class I                (325)         (3,552)             (119)       (1,261)
                                      ----------------------------------------------------------------------------
                                       CONVERSION OF SHARES
                                      ----------------------------------------------------------------------------
                                       Class A                  56             650               113         1,125
                                      ----------------------------------------------------------------------------
                                       Class B                 (57)           (650)             (114)       (1,125)
                                      ----------------------------------------------------------------------------
                                       NET INCREASE (DECREASE)
                                       FROM CAPITAL SHARE
                                       TRANSACTIONS                      $  41,518                       $ (31,421)
                                      ----------------------------------------------------------------------------
</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
                             loss 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 April 30, 1996, the
                             Fund had the following forward foreign currency
                             contracts outstanding with settlement dates in May
                             and July 1996 (in thousands):
 
<TABLE>
<CAPTION>
                                                                         CONTRACT       UNREALIZED
                                           FOREIGN CURRENCY             AMOUNT IN       GAIN (LOSS)
                                            TO BE DELIVERED            U.S. DOLLARS     AT 4/30/96
                                    ---------------------------------------------------------------
                                    <S>                                  <C>              <C>
                                         6,080 British Pounds            $  9,217          $ 101
                                    ---------------------------------------------------------------
                                        17,640 Dutch Guilders              10,569            231
                                    ---------------------------------------------------------------
                                        35,700 French Francs                7,017             98
                                    ---------------------------------------------------------------
                                     5,327,000 Japanese Yen                50,348           (834)
                                    ---------------------------------------------------------------
                                         7,320 Swiss Francs                 6,057            132
                                    ---------------------------------------------------------------
                                               Net unrealized loss                         $(272)
                                    ---------------------------------------------------------------
</TABLE>
 
                                                                              21
<PAGE>   22
FINANCIAL HIGHLIGHTS

<TABLE>
<CAPTION>
 
                                                    --------------------------------------------------------
                                                                              CLASS A
                                                    --------------------------------------------------------
                                                    SIX MONTHS
                                                       ENDED
                                                     APRIL 30,            YEAR ENDED OCTOBER 31,
                                                       1996         1995      1994      1993      1992

- ------------------------------------------------------------------------------------------------------------
<S>                                                 <C>             <C>       <C>       <C>       <C>   
 PER SHARE OPERATING PERFORMANCE
- ------------------------------------------------------------------------------------------------------------
Net asset value, beginning of period                   $10.59       11.13     10.56      8.17      8.76
- ------------------------------------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                                   .01         .07        --       .03       .22
- ------------------------------------------------------------------------------------------------------------
  Net realized and unrealized gain (loss)                1.49         .05       .86      2.54      (.67)
- ------------------------------------------------------------------------------------------------------------
Total from investment operations                         1.50         .12       .86      2.57      (.45)
- ------------------------------------------------------------------------------------------------------------
Less dividends:
  Distribution from net investment income                 .12          --        --       .18        --
- ------------------------------------------------------------------------------------------------------------
  Distribution from net realized gain                     .05         .66       .29        --       .14
- ------------------------------------------------------------------------------------------------------------
Total dividends                                           .17         .66       .29       .18       .14
- ------------------------------------------------------------------------------------------------------------
Net asset value, end of period                         $11.92       10.59     11.13     10.56      8.17
- ------------------------------------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED)                           14.31%       1.69      8.32     32.08     (5.17)
- ------------------------------------------------------------------------------------------------------------
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
- ------------------------------------------------------------------------------------------------------------
Expenses                                                 1.65%       1.57      1.54      1.69      1.36
- ------------------------------------------------------------------------------------------------------------
Net investment income                                     .35%        .83       .02       .37      2.61
- ------------------------------------------------------------------------------------------------------------
</TABLE>
 
 
<TABLE>
<CAPTION>
                                               -----------------------------------------------------------------------
                                                                             CLASS B
                                               -----------------------------------------------------------------------
                                                SIX MONTHS                                               MAY 31,
                                                   ENDED                   YEAR ENDED                    1994 TO
                                                 APRIL 30,                 OCTOBER 31,                 OCTOBER 31,
                                                   1996                       1995                        1994
- -----------------------------------------------------------------------------------------------------------------------
<S>                                             <C>                        <C>                         <C>         
 PER SHARE OPERATING PERFORMANCE
- -----------------------------------------------------------------------------------------------------------------------

Net asset value, beginning of period               $10.46                      11.09                       10.58
- -----------------------------------------------------------------------------------------------------------------------
Income from investment operations:
  Net investment loss                                (.03)                      (.02)                       (.04)
- -----------------------------------------------------------------------------------------------------------------------
  Net realized and unrealized gain                   1.46                        .05                         .55
- -----------------------------------------------------------------------------------------------------------------------
Total from investment operations                     1.43                        .03                         .51
- -----------------------------------------------------------------------------------------------------------------------
Less dividends:
  Distribution from net investment income
                                                      .01                         --                          --
- -----------------------------------------------------------------------------------------------------------------------
  Distribution from net realized gain                 .05                        .66                          --
- -----------------------------------------------------------------------------------------------------------------------
Total dividends                                       .06                        .66                          --
- -----------------------------------------------------------------------------------------------------------------------
Net asset value, end of period                     $11.83                      10.46                       11.09
- --------------------------------------------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED)                       13.79%                       .84                        4.82

- -----------------------------------------------------------------------------------------------------------------------
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
- -----------------------------------------------------------------------------------------------------------------------

Expenses                                             2.51%                      2.50                        2.58
- -----------------------------------------------------------------------------------------------------------------------
Net investment loss                                  (.51)%                     (.10)                       (.97)
- -----------------------------------------------------------------------------------------------------------------------
</TABLE>
 
22
<PAGE>   23
FINANCIAL HIGHLIGHTS

<TABLE>
<CAPTION>
                                              ----------------------------------------    ------------------------------
                                                              CLASS C                                CLASS I
                                              ----------------------------------------    ------------------------------
                                              SIX MONTHS                     MAY 31,      SIX MONTHS      JULY 3,
                                                ENDED       YEAR ENDED       1994 TO        ENDED         1995 TO
                                              APRIL 30,     OCTOBER 31,    OCTOBER 31,    APRIL 30,     OCTOBER 31,
                                                 1996          1995           1994           1996          1995
- --------------------------------------------------------------------------------------    ------------------------------
<S>                                           <C>           <C>            <C>            <C>           <C>         
 PER SHARE OPERATING PERFORMANCE
- --------------------------------------------------------------------------------------    ------------------------------

Net asset value, beginning of period            $10.46         11.09          10.58         10.61          10.09
- --------------------------------------------------------------------------------------    ------------------------------
Income from investment operations:
  Net investment income (loss)                    (.03)         (.02)          (.04)          .04            .04
- --------------------------------------------------------------------------------------    ------------------------------
  Net realized and unrealized gain                1.46           .05            .55          1.48            .48
- --------------------------------------------------------------------------------------    ------------------------------
Total from investment operations                  1.43           .03            .51          1.52            .52
- --------------------------------------------------------------------------------------    ------------------------------
Less dividends:
  Distribution from net investment income          .01            --             --           .15             --
- --------------------------------------------------------------------------------------    ------------------------------
  Distribution from net realized gain              .05           .66             --           .05             --
- --------------------------------------------------------------------------------------    ------------------------------
Total dividends                                    .06           .66             --           .20             --
- --------------------------------------------------------------------------------------    ------------------------------
Net asset value, end of period                  $11.83         10.46          11.09         11.93          10.61
- --------------------------------------------------------------------------------------    ------------------------------
TOTAL RETURN (NOT ANNUALIZED)                    13.79%          .84           4.82         14.62           5.15
- --------------------------------------------------------------------------------------    ------------------------------
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
- --------------------------------------------------------------------------------------    ------------------------------

Expenses                                          2.45%         2.50           2.52          1.04           .85
- --------------------------------------------------------------------------------------    ------------------------------
Net investment income (loss)                     (.45)%         (.10)          (.91)          .96          1.32
- --------------------------------------------------------------------------------------    ------------------------------

</TABLE>
 
<TABLE>
<CAPTION>
- ------------------------------------------------------------------------------------------------------------
 SUPPLEMENTAL DATA FOR ALL CLASSES
- ------------------------------------------------------------------------------------------------------------
                                            SIX MONTHS
                                               ENDED
                                             APRIL 30,                YEAR ENDED OCTOBER 31,
                                               1996          1995        1994        1993        1992
- ------------------------------------------------------------------------------------------------------------
<S>                                         <C>             <C>         <C>         <C>         <C>     
Net assets at end of period (in thousands)    $454,896      364,708     418,282    289,898     165,890

- ------------------------------------------------------------------------------------------------------------
Portfolio turnover rate (annualized)               129%         114         103        156         143

- ------------------------------------------------------------------------------------------------------------
</TABLE>

Average commission rate paid per share on stock transactions for
the six months ended April 30, 1996 was $.0205. Foreign commissions usually are
lower than U.S. commissions when expressed as cents per share due to the lower
per share prices of many non-U.S. securities.
- --------------------------------------------------------------------------------
 
NOTES: Total return does not reflect the effect of any sales charges. Per share
data for 1995 was determined based on average shares outstanding.
 
                                                                              23
<PAGE>   24
TRUSTEES AND OFFICERS

TRUSTEES                                   OFFICERS
 
STEPHEN B. TIMBERS                         DENNIS H. FERRO       
President and Trustee                      Vice President        
                                                                 
DAVID W. BELIN                             JOHN E. NEAL          
Trustee                                    Vice President        
                                                                 
LEWIS A. BURNHAM                           JOHN E. PETERS        
Trustee                                    Vice President        
                                                                 
DONALD L. DUNAWAY                          STEVEN H. REYNOLDS    
Trustee                                    Vice President        
                                                                 
ROBERT B. HOFFMAN                          PHILIP J. COLLORA     
Trustee                                    Vice President        
                                           and Secretary         
DONALD R. JONES                                                  
Trustee                                    JEROME L. DUFFY       
                                           Treasurer             
DOMINIQUE P. MORAX                                               
Trustee                                    ELIZABETH C. WERTH    
                                           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 South LaSalle Street Chicago, IL 60603
                              http://www.kemper.com
 

              (RECYCLE LOGO)

              Printed on recycled paper in the U.S.A.                    
              This report is not to be distributed
              unless preceded or accompanied by a
              Kemper International Fund prospectus.                      

              KIF - 3 (6/96)                   KEMPER LOGO
                                                                         1016900
                                                           Printed in the U.S.A.




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