KEMPER DIVERSIFIED INCOME FUND
N-30D, 1996-06-28
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<PAGE>   1

KEMPER DIVERSIFIED
INCOME FUND

SEMIANNUAL REPORT TO SHAREHOLDERS
FOR THE PERIOD ENDED APRIL 30, 1996

OFFERING INVESTORS THE OPPORTUNITY FOR HIGH CURRENT
RETURN


               ". . . both the high yield and foreign currency
                  sectors performed well while other sectors
                  struggled during a volatile period . . ."

<PAGE>   2
Table of
Contents

2 
At A Glance
2
Terms To Know
3
General Economic
Overview
5
Management Team
6
Performance Update
8
Portfolio Statistics
9
Portfolio of
Investments
16
Financial Statements
18
Notes to
Financial Statements
23
Financial Highlights



At a Glance

- ------------------------------------------------------------------------------- 
KEMPER DIVERSIFIED INCOME FUND
Total Returns
- ------------------------------------------------------------------------------- 
FOR THE SIX-MONTHS ENDED APRIL 30, 1996 (UNADJUSTED FOR ANY SALES CHARGE):
 
                                 [BAR GRAPH]


<TABLE>
<S>                                    <C>
- ----------------------------------------------
Class A                                4.12%
- ----------------------------------------------
Class B                                3.62%
- ----------------------------------------------
Class C                                3.68%
- ----------------------------------------------
Lipper General Bond
Funds Category
Average *                              2.65%
- ----------------------------------------------
</TABLE>
 
Returns and rankings are historical and do not represent future results. Returns
and net asset value fluctuate. Shares are redeemable at current net asset value,
which may be more or less than original cost.
 

<TABLE>
<CAPTION>
- ------------------------------------------------------------------------------- 
NET ASSET VALUE
- ------------------------------------------------------------------------------- 
                                                        AS OF     AS OF         
                                                       4/30/96   10/31/95       
- ------------------------------------------------------------------------------- 
<S>                                                    <C>       <C>            
KEMPER DIVERSIFIED INCOME FUND                                                  
  CLASS A                                               $5.90     $5.98         
- ------------------------------------------------------------------------------- 
KEMPER DIVERSIFIED INCOME FUND                                                  
  CLASS B                                               $5.90     $5.98         
- ------------------------------------------------------------------------------- 
KEMPER DIVERSIFIED INCOME FUND                                                  
  CLASS C                                               $5.92     $6.00         
- ------------------------------------------------------------------------------- 
</TABLE>                                                                      
 
- ------------------------------------------------------------------------------- 
KEMPER DIVERSIFIED INCOME
FUND RANKINGS*
- ------------------------------------------------------------------------------- 
COMPARED TO ALL OTHER FUNDS IN THE LIPPER GENERAL BOND FUNDS CATEGORY
 
<TABLE>
<CAPTION>
                                     CLASS A       CLASS B       CLASS C
- ------------------------------------------------------------------------------- 
<S>                                 <C>           <C>           <C>
1-YEAR                                #16 OF        #24 OF        #23 OF
                                     53 FUNDS      53 FUNDS      53 FUNDS
- ------------------------------------------------------------------------------- 
5-YEAR                                #1 OF
                                     13 FUNDS        N/A           N/A
- ------------------------------------------------------------------------------- 
10-YEAR                               #2 OF
                                     7 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 AND YIELD REVIEW
- ------------------------------------------------------------------------------- 
 
THE FOLLOWING TABLE SHOWS PER SHARE DIVIDEND AND YIELD INFORMATION FOR THE FUND
AS OF APRIL 30, 1996.
 
<TABLE>
<CAPTION>                                    
                                               CLASS A   CLASS B   CLASS C
- ------------------------------------------------------------------------------- 
<S>                                            <C>       <C>       <C>
SIX-MONTHS INCOME:                             $0.3220   $0.2942   $0.2987
- ------------------------------------------------------------------------------- 
APRIL DIVIDEND:                                $0.0415   $0.0370   $0.0373
- ------------------------------------------------------------------------------- 
ANNUALIZED                        
DISTRIBUTION RATE+:                              8.44%     7.53%     7.56%
- ------------------------------------------------------------------------------- 
SEC YIELD+:                                      6.69%     6.06%     6.14%
- ------------------------------------------------------------------------------- 
</TABLE>

 
+Current annualized distribution rate is the latest monthly dividend shown as an
annualized percentage of net asset value on April 30, 1996. Distribution rate
simply measures the level of dividends and is not a complete measure of
performance. The SEC yield is net investment income per share earned over the
month ended April 30, 1996 shown as an annualized percentage of the maximum
offering price on that date. The SEC yield is computed in accordance with a
standardized method prescribed by the Securities and Exchange Commission.
 
The fund may invest in lower-rated and non-rated securities which present
greater risk of loss to principal and interest than higher-rated securities. The
fund may also invest a significant portion of assets in foreign securities which
present special risks including fluctuating exchange rates, government
regulation and differences in liquidity that may affect your investment.

TERMS TO KNOW
 
DURATION Duration is a measure of the interest rate sensitivity of a
fixed-income portfolio incorporating time to maturity and coupon size. The
longer the duration, the greater the interest rate risk.

HEDGING A strategy used to help protect an investment. Financial managers can
use any number of technical and nontechnical procedures to hedge or reduce the
possibility of a loss on an investment.

TOTAL RETURN A fund's total return figure measures both the net investment
income and any realized and unrealized appreciation or depreciation of the 
underlying investments in its portfolio for the period, assuming the
reinvestment of all dividends. It represents the aggregate percentage or dollar
value change over the period.
 
YIELD A fund's yield is a measure of the net investment income per share earned
over a specific one-month or 30-day period expressed as a percentage of the
maximum offering price of the fund's shares at the end of the 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
MANAGEMENT TEAM
 
                         KEMPER DIVERSIFIED INCOME FUND
                           PORTFOLIO MANAGEMENT TEAM
 
[BEIMFORD PHOTO]

J. PATRICK BEIMFORD, JR., JOINED ZURICH KEMPER INVESTMENTS, INC. (ZKI) IN 1976
AND IS EXECUTIVE VICE PRESIDENT, CHIEF INVESTMENT OFFICER -- FIXED INCOME FOR
ZKI AND VICE PRESIDENT AND PORTFOLIO CO-MANAGER OF KEMPER DIVERSIFIED INCOME
FUND. BEIMFORD RECEIVED A BACHELOR OF SCIENCE AND INDUSTRIAL MANAGEMENT DEGREE
FROM PURDUE UNIVERSITY AND EARNED AN M.B.A. FROM THE UNIVERSITY OF CHICAGO.
 
[CESSINE PHOTO]

ROBERT CESSINE IS A SENIOR VICE PRESIDENT OF ZKI AND VICE PRESIDENT AND
PORTFOLIO CO-MANAGER OF KEMPER DIVERSIFIED INCOME FUND. HE JOINED THE COMPANY IN
1993. CESSINE RECEIVED BOTH HIS B.S. AND M.S. FROM THE UNIVERSITY OF WISCONSIN.

[JOHNS PHOTO]

GORDON JOHNS JOINED ZKI IN 1988 AND IS AN EXECUTIVE VICE PRESIDENT OF ZKI, THE
MANAGING DIRECTOR OF ZURICH INVESTMENT MANAGEMENT LIMITED, LONDON AND A VICE
PRESIDENT AND PORTFOLIO CO-MANAGER OF KEMPER DIVERSIFIED INCOME FUND. JOHNS
GRADUATED FROM BALLIOL COLLEGE, OXFORD, WITH A B.A. IN LAW.
 
[MCNAMARA PHOTO]

MIKE MCNAMARA HAS BEEN WITH ZKI SINCE 1972 AND IS SENIOR VICE PRESIDENT OF ZKI
AND VICE PRESIDENT AND PORTFOLIO CO-MANAGER OF KEMPER DIVERSIFIED INCOME FUND.
MCNAMARA GRADUATED WITH A B.S. IN BUSINESS ADMINISTRATION FROM THE UNIVERSITY OF
MISSOURI AND EARNED AN M.B.A. FROM LOYOLA UNIVERSITY.

[RESIS PHOTO]

HARRY RESIS IS A SENIOR VICE PRESIDENT WITH ZKI. HE JOINED THE COMPANY IN 1988
AND IS A VICE PRESIDENT AND PORTFOLIO CO-MANAGER OF KEMPER DIVERSIFIED INCOME
FUND. RESIS RECEIVED A B.A. IN FINANCE FROM MICHIGAN STATE UNIVERSITY.

[TRUTTER PHOTO]

JONATHAN TRUTTER HAS BEEN WITH ZKI SINCE 1989. HE IS A FIRST VICE PRESIDENT OF
ZKI AND VICE PRESIDENT AND A PORTFOLIO CO-MANAGER OF KEMPER DIVERSIFIED INCOME
FUND. TRUTTER RECEIVED A BACHELOR'S DEGREE WITH DUAL MAJORS IN EAST ASIAN
LANGUAGES AND INTERNATIONAL RELATIONS FROM THE UNIVERSITY OF SOUTHERN
CALIFORNIA. HE EARNED A MASTER'S OF MANAGEMENT DEGREE FROM KELLOGG GRADUATE
SCHOOL OF BUSINESS AT NORTHWESTERN UNIVERSITY.
 
                                                                               5
<PAGE>   6
PERFORMANCE UPDATE
 
THE PORTFOLIO MANAGEMENT TEAM OF KEMPER DIVERSIFIED INCOME FUND EXPLAINS ITS
BULLISHNESS ON THE ECONOMY AT THE START OF THE YEAR AND HOW A SHIFT IN INTEREST
RATES IMPACTED THE FUND'S PERFORMANCE AND ITS INVESTMENT STRATEGY.
 
Q    DURING THE FIRST SIX MONTHS OF THE FISCAL YEAR -- NOVEMBER 1, 1995,
THROUGH APRIL 30, 1996 -- INTEREST RATES FELL DRAMATICALLY AND THEN BEGAN TO
RISE AGAIN. WHAT CAUSED THIS SHIFT IN INTEREST RATE DIRECTION?
 
A    Rates reversed direction as expectations for the pace of economic growth
shifted.  At the start of the fiscal year, in November 1995, bond investors were
optimistic about the market. It was expected that the economy would continue to
grow slowly, inflation would remain low, and that the Federal Reserve Board (the
Fed) would lower short-term interest rates. The market was also hopeful, at that
point, that the negotiations underway in Washington D.C. would soon lead to a
balanced budget agreement with a solid plan for reducing the federal budget
deficit. All of these events were positive for fixed-income investments because
they supported a slow-growth, benign inflation environment.
        Economic growth continued to falter through 1995 and the market rallied
as investors speculated that more interest rate reductions would be
forthcoming. The Federal Reserve Board moved in December 1995, and in January
1996, to lower interest rates. These cuts fueled higher market prices.
        In February 1996, political and economic events caused investors to
re-evaluate whether the economy could continue on its slow growth, low
inflation path. Federal budget negotiations stalled, and an impasse developed
which effectively eliminated the chances for a balanced budget during the first
quarter of 1996. Additionally, columnist and presidential candidate Patrick
Buchanan's strong early showing in the Republican primaries caused concern as
the market viewed many of his proposals to be potentially inflationary.
Finally, in his testimony before Congress, Fed Chairman Alan Greenspan
intimated that the pace of economic growth was improving. This caused some
investors to conclude that another reduction in interest rates was not
imminent. These events prompted investors to sell, and interest rates rose.
        However, the most dramatic rise in market rates during the period
occurred in early March, when the U.S. Department of Labor announced an
unanticipated and significant increase in employment growth. Many bond
investors saw this data as evidence that the economy was gaining more momentum
than previously anticipated. The news caused a sell-off in the market because
more rapid economic growth is associated with higher inflation, which erodes
the value of fixed-income investments. Rates continued to rise in March and
then stabilized in April.
 
Q    WHAT IMPACT DID THESE SHIFTS IN INTEREST RATES HAVE ON KEMPER DIVERSIFIED
INCOME FUND'S PERFORMANCE?
 
A    In November and December 1995, the fund outperformed the average of its
peers. This outperformance was due to the fund's relatively long duration. We
anticipated that rates would fall so we had extended duration beyond the
average of our peers. Duration is a measurement of a fund's sensitivity to
interest rates. The longer the duration, the more sensitive it is to interest
rate changes. This means that as interest rates were falling, the portfolio's
longer duration enabled the fund to gain more than it could have with a shorter
duration. 
        We entered 1996 with a fairly long duration of 6.9 years. However,
mid-way through January we shortened duration as we did not believe that the
decline in interest rates could continue. We positioned the fund for a more
stable interest rate environment and by the end of February, duration was 6.2
years. Unfortunately, the employment release in early March caused the market
to trade down sharply and the fund's still longer than average duration hurt
returns. By the end of March we had pulled the fund's duration in to 4.1 years.
In April, rates began to stabilize so we increased duration slightly to about 5
years, which was market neutral -- or where most of our peers were situated. We
plan to maintain the fund's neutral duration until the direction of rates
becomes more clear.
 
Q    WHAT TYPES OF ADJUSTMENTS DID YOU MAKE TO THE PORTFOLIO TO REDUCE DURATION?
 
A    We shortened duration primarily by reducing our exposure to the government
market and by favoring high yield and foreign currency bond investments.
 
6
<PAGE>   7
PERFORMANCE UPDATE
 
        The most dramatic adjustment that we made was to reduce our holdings in
Treasuries to 11 percent on April 30, from 22 percent on October 31. As
interest rates fell, Treasuries offered a great deal of price appreciation
potential. Our heavy weighting in Treasuries in late 1995, enabled us to
capture significant price gains as interest rates dropped in December. However,
as rates began to rise, Treasuries became less appealing because they no longer
offered the upside for price appreciation. In January 1996, we began selling
Treasuries to reduce the fund's duration. We also reduced our mortgage holdings
at that point in favor of sectors with better potential. At the end of April,
mortgages represented 5 percent of the portfolio -- a 6 percent reduction from
the start of the fiscal year. 
 
Q    WHAT WAS THE BENEFIT OF ADDING HIGH YIELD AND FOREIGN CURRENCY BONDS AS
INTEREST RATES BACKED-UP? 
 
A    The benefit was that both the high yield and foreign currency sectors
performed well while other sectors struggled during a volatile period for the
broader bond market.
     The reason? High yield bonds tend to be less negatively affected by a
stronger economy than other fixed-income securities. As we discussed, the rise
in interest rates was the outcome of stronger economic data. When the economy
grows, credit quality becomes less of a concern to investors in high yield
corporate bonds. A stronger economy assumes that more growth in corporate
earnings will occur. And solid earnings are essential for companies to continue
servicing their outstanding bond issues. Although we generally keep
approximately 25-30 percent of the fund invested in high yield bonds, we felt
that it made sense to increase this exposure as signs of growth surfaced. We
increased the weighting to 35 percent of investments on April 30. Our instinct
was correct and our high yield bond returns helped mitigate a portion of the
losses incurred by some of the fund's other sectors.
      We were also optimistic about foreign currency bonds for two reasons.
First, foreign markets tend to follow a similar economic cycle as the U.S.
However, economic cycles abroad have historically tended to lag the U.S. As
such, we felt it was likely that foreign markets would begin to experience the
slow economic growth and declining interest rate environment that characterized
the U.S. in 1995. As witnessed by U.S. fixed-income returns in 1995, that type
of economy is positive for bond investments. The second reason was that in
December 1995, the fund began the use of limited hedging for the foreign
currency allocation. By hedging the foreign currencies back to the dollar, we
were able to reduce some of the currency risk involved with foreign non dollar
investments. By April 30, 72 percent of the foreign currency allocation was
hedged back to the dollar, which allowed the fund to participate in the
appreciation of the dollar against major European currencies.
 
Q    WHAT CAN YOU TELL US ABOUT THE OTHER SECTORS IN WHICH THE FUND INVESTS?
 
A    The two other sectors in which the fund invests are emerging markets and
high grade corporate bonds. At the end of the period, investments in these two
sectors accounted for about 11 percent of the portfolio. Emerging markets
performed particularly well during the period as the fundamental outlook for
these markets continued to improve. Although performance was strong, we kept
exposure to this sector between 5 and 8 percent of the portfolio because of the
historical volatility of this sector. The fund's high grade corporate sector
suffered as a result of its high correlation with the U.S. government market.
 
Q     WERE THERE ANY DISAPPOINTMENTS DURING THE YEAR?
 
A     Well, the shift in interest rates was really our primary disappointment.
As mentioned before, the duration of the fund was long as rates backed-up and
the fund's performance suffered. We believe, however, that the fund's now
shorter duration should help performance in the current interest rate
environment. 
 
Q     WHAT'S YOUR OUTLOOK FOR THE BOND MARKET?
 
A     Our outlook for the market is cautiously optimistic. We believe that
rates will stabilize in the range of 6.50 percent to 7.25 percent. Inflation
should not be problematic. All indicators suggest that it will remain at trend
growth -- between 2.5 percent and 3 percent. We plan to manage the funds
defensively until the direction of the economy becomes more clear.
 
                                                                               7
<PAGE>   8
PORTFOLIO COMPOSITION 

<TABLE>
<CAPTION>
- --------------------------------------------------------------------------
PORTFOLIO COMPOSITION
- --------------------------------------------------------------------------
                                    ON 4/30/96                 ON 10/31/95
- --------------------------------------------------------------------------
<S>                                 <C>                        <C>
HIGH YIELD CORPORATES                    35%                        29%
- --------------------------------------------------------------------------
EMERGING MARKETS                          5                          5
- --------------------------------------------------------------------------
FOREIGN CURRENCY BONDS                   24                         21
- --------------------------------------------------------------------------
HIGH GRADE CORPORATES                     6                          4
- --------------------------------------------------------------------------
MORTGAGES                                 5                         11
- --------------------------------------------------------------------------
TREASURY NOTES & BONDS                   11                         22
- --------------------------------------------------------------------------
CASH EQUIVALENTS                         12                          7
- --------------------------------------------------------------------------
OTHER                                     2                          1
- --------------------------------------------------------------------------
                                        100%                       100%
</TABLE>
 
                                 [PIE CHART]
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------
YEARS TO MATURITY
- --------------------------------------------------------------------------
                                    ON 4/30/96                 ON 10/31/95
- --------------------------------------------------------------------------
<S>                                 <C>                        <C>
CASH AND EQUIVALENTS                      0%                         7%
- --------------------------------------------------------------------------
1-10 YEARS                               76                         60
- --------------------------------------------------------------------------
10-20 YEARS                              17                         16
- --------------------------------------------------------------------------
20+ YEARS                                 7                         17
- --------------------------------------------------------------------------
                                        100%                       100%
</TABLE>
 
                                 [PIE CHART]
 

<TABLE>
<CAPTION>
- --------------------------------------------------------------------------
AVERAGE MATURITY
- --------------------------------------------------------------------------
                                 ON 4/30/96                  ON 10/31/95
- --------------------------------------------------------------------------
<S>                              <C>                         <C>
AVERAGE MATURITY                  7.6 YEARS                   11.7 YEARS
- -------------------------------------------------------------------------
</TABLE>
 
8
<PAGE>   9
PORTFOLIO OF INVESTMENTS
 
KEMPER DIVERSIFIED INCOME FUND
 
PORTFOLIO OF INVESTMENTS AT APRIL 30, 1996
(DOLLARS IN THOUSANDS)
 
<TABLE>
<CAPTION>
- ---------------------------------------------------------------------------------------------------------------
                                                                                            PRINCIPAL
 GOVERNMENT OBLIGATIONS                                                                 AMOUNT        VALUE
- ---------------------------------------------------------------------------------------------------------------
<S>                              <C>                                                    <C>        <C>     
U.S. GOVERNMENT - 29.5%
                                 U.S. Treasury Notes
                                   8.75%, 1997                                          $63,000    $ 65,481
                                   8.875%, 1997                                           9,500       9,907
                                   8.125%, 1998                                          21,000      21,735
                                   6.375%, 2002                                          35,000      34,732
                                   6.50%, 2005                                           26,000      25,650
                                 U.S. Treasury Bonds
                                   9.25%, 2016                                           18,340      22,590
                                   8.75%, 2017                                            1,500       1,772
                                 -----------------------------------------------------------------------------
                                 Federal National Mortgage Association
                                   6.50%, 2026                                           20,000      18,756
                                 -----------------------------------------------------------------------------
                                 Government National Mortgage Association
                                   7.50%, 2024                                            6,619       6,546
                                   7.00%, 2022 - 2026                                    14,217      13,684
                                 -----------------------------------------------------------------------------
                                 TOTAL U.S. GOVERNMENT OBLIGATIONS
                                 (Cost: $223,051)                                                   220,853
                                 -----------------------------------------------------------------------------
- ----------------------------------------------------------------------------------------------------------------
FOREIGN
GOVERNMENTS - 29.4%
(PRINCIPAL AMOUNT IN LOCAL
  CURRENCY,
UNLESS OTHERWISE INDICATED)
                             (d) Republic of Argentina
                                   (principal amount in U.S. dollars)
                                    6.3125%, 2005                                         8,433       6,441
                                    5.25%, 2023                                          12,450       6,793
                                    6.5625%, 2023                                         4,600       3,183
                                 Commonwealth of Australia
                                    8.75%, 2001                                           7,800       6,221
                                    9.50%, 2003                                           9,000       7,414
                                 Federal Republic of Brazil
                                   (principal amount in U.S. dollars)
                             (d)   6.8125%, 2006                                          4,300       3,271
                                   8.00%, 2014                                            5,223       3,143
                             (d)   4.25%, 2024                                            7,350       3,870
                             (d)   6.8125%, 2024                                          5,800       3,926
                                 French Treasury
                                   8.50%, 2000                                           85,000      18,314
                                   8.50%, 2002                                          167,000      36,759
                                   6.75%, 2003                                           37,000       7,415
                                 Government of Ireland
                                   6.25%, 1999                                            3,400       5,263
                                   6.25%, 2004                                            8,500      12,331
                                 Government of the Netherlands
                                   7.75%, 2000                                           14,400       9,220
                                   8.25%, 2002                                           24,000      15,805
                                   8.25%, 2007                                           16,200      10,803
                                 Commonwealth of New Zealand
                                   8.00%, 1998                                            4,200       2,827
                                   6.50%, 2000                                            8,200       5,201
                                   10.00%, 2002                                          13,800       9,991
                             (d) Republic of Poland, PDI
                                   (principal amount in U.S. dollars)
                                   3.75%, 2014                                            3,900       2,985
                                 United Kingdom
                                   7.25%, 1998                                            6,600      10,006
                                   6.75%, 2004                                            8,750      12,166
                                   8.00%, 2004                                            6,500       9,528
</TABLE>
 
                                                                               9
<PAGE>   10
PORTFOLIO OF INVESTMENTS

<TABLE>
<CAPTION>
(DOLLARS IN THOUSANDS)
- ---------------------------------------------------------------------------------------------------------------
                                                                                      PRINCIPAL
GOVERNMENT OBLIGATIONS                                                                 AMOUNT        VALUE
- ---------------------------------------------------------------------------------------------------------------
<S>                              <C>                                                    <C>        <C>      
                                 United Mexican States
                                   (principal amount in U.S. dollars)
                                   9.75%, 2001                                        $ 1,944     $  1,928
                              (d)  6.3975%, 2019                                        3,225        2,582
                                   6.25%, 2019                                          3,800        2,508
                                 -----------------------------------------------------------------------------
                                 TOTAL FOREIGN GOVERNMENT OBLIGATIONS
                                 (Cost: $217,342)                                                  219,894
                                 -----------------------------------------------------------------------------
- ---------------------------------------------------------------------------------------------------------------
 CORPORATE OBLIGATIONS
- ---------------------------------------------------------------------------------------------------------------
AEROSPACE - 1.4%
                                 Airlines Pass Thru Class D, 10.875%, 2019                760          794
                                 Fairchild Corporation, 12.00%, 2001                    1,975        1,960
                                 Howmet Inc., 10.00%, 2003                              1,560        1,642
                                 K & F Industries, Inc.
                                   11.875%, 2003                                           50           54
                                   13.75%, 2001                                         4,478        4,646
                                 RHI Holdings, 11.875%, 1999                            1,415        1,404
                                   -----------------------------------------------------------------------------
                                                                                                    10,500
- ----------------------------------------------------------------------------------------------------------------
BROADCASTING,
CABLESYSTEMS AND
PUBLISHING - 9.9%
                                 Adelphia Communications Corporation, 12.50%, 2002        800          812
                                 Affinity Group, Inc., 11.50%, 2003                     1,480        1,510
                                 American Radio System, 9.00%, 2006                     2,350        2,268
                              (b)Australis Media Corporation, 14.00%, 2003              2,250        1,519
                              (b)Bell Cablemedia PLC, 11.95%, 2004                      2,220        1,626
                                 Big Flower Press, Inc., 10.75%, 2003                   1,215        1,215
                                 CF Cable TV Inc., 11.625%, 2005                        2,550        2,767
                                 Cablevision Systems Company
                                   9.25%, 2005                                          1,500        1,463
                                   9.875%, 2013                                           920          911
                                   9.875%, 2023                                           370          363
                                 Century Communications Corporation
                                   9.50%, 2000                                            300          301
                                   11.875%, 2003                                        1,320        1,406
                                   9.50%, 2005                                          1,270        1,267
                              (b)Charter Communications, 14.00%, 2007                   1,530          807
                              (b)Comcast UK Cable Partners Limited, 11.20%, 2007        6,300        3,752
                                 Comcast Corporation
                                   9.125%, 2006                                         3,180        3,138
                                   9.50%, 2008                                            900          900
                                   10.625%, 2012                                          400          432
                                 Continental Cablevision, Inc., 9.50%, 2013             3,505        3,847
                              (b)Diamond Cable Communications PLC, 11.75%, 2005           650          394
                              (b)Echostar Communications, 12.875%, 2004                 2,490        1,849
                                 EZ Communications, 9.75%, 2005                         2,700        2,619
                                 Granite Broadcasting Corp.
                                   9.375%, 2005                                           410          385
                                   10.375%, 2005                                        1,180        1,180
                              (b)International Cabletel Incorporated
                                   12.75%, 2005                                         2,690        1,762
                                   11.50%, 2006                                           530          309
                                 K-III Communications, 8.50%, 2006                      1,600        1,512
                                 Katz Corporation, 12.75%, 2002                         1,235        1,371
                                 Lenfest Communications, 8.375%, 2005                   2,850        2,679
                                 Neodata Services, 12.00%, 2003                         1,500        1,519
                                 News America Holdings, Inc., 9.25%, 2013               4,000        4,328
                                 Newsquest Capital PLC, 11.00%, 2006                    2,700        2,700
                              (b)People's Choice TV Unit, 13.15%, 2004                    150           92
</TABLE>
 
10
<PAGE>   11
 
<TABLE>
<CAPTION>
(DOLLARS IN THOUSANDS)
- ----------------------------------------------------------------------------------------------------------------
                                                                                       PRINCIPAL
CORPORATE OBLIGATIONS                                                                   AMOUNT        VALUE
- ----------------------------------------------------------------------------------------------------------------
<S>                              <C>                                                    <C>        <C>  
                                 Rogers Cablesystems Limited
                                   9.625%, 2002                                         $   810    $    815
                                   10.00%, 2005                                             750         769
                                 Sinclair Broadcasting Group, Inc., 10.00%, 2003          1,660       1,623
                                 Sullivan Broadcasting, 10.25%, 2005                        300         293
                                 Tele-Communications Inc., 9.80%, 2012                    1,100       1,181
                              (b)TeleWest PLC, 11.00%, 2007                               6,015       3,699
                                 Time Warner Entertainment, 8.875%, 2012                  2,000       2,134
                                 Time Warner Inc., 9.125%, 2013                           2,000       2,084
                                 Univision TV, 11.75%, 2001                                 670         710
                                 Viacom International Inc., 8.00%, 2006                   3,300       3,086
                              (b)Videotron Holdings PLC,
                                   11.125%, 2004                                          1,100         812
                                   11.00%, 2005                                             840         554
                                 Young Broadcasting Inc.
                                   11.75%, 2004                                             180         196
                                   9.00%, 2006                                            3,010       2,784
                                   -----------------------------------------------------------------------------
                                                                                                     73,743
- ----------------------------------------------------------------------------------------------------------------
BUSINESS
SERVICES - .8%
                                 Alvey Systems, 11.375%, 2003                               650         676
                                 Coinmach Corporation, 11.75%, 2005                       2,110       2,163
                                 Corporate Express Inc., 9.125%, 2004                       940         947
                                 Monarch Marking Systems, 12.50%, 2003                      880         942
                                 Outdoor Systems, 10.75%, 2003                            1,170       1,193
                                 -----------------------------------------------------------------------------
                                                                                                      5,921
- ----------------------------------------------------------------------------------------------------------------
CHEMICALS - 1.6%
                                 Agriculture Mining and Chemicals, Inc., 10.75%, 2002       710         761
                                 Arcadian Partners L.P., 10.75%, 2005                     1,330       1,430
                                 Atlantis Group Inc, 11.00%, 2003                         1,328       1,222
                                 G-I Holdings Inc., zero coupon, 1998                     2,300       1,823
                                 Pioneer Americas Acquisition Corp., 13.275%, 2005        1,020       1,102
                                 Polymer Group Inc., 12.25%, 2002                         1,220       1,336
                                 Rexene Corporation, 11.75%, 2004                         1,900       2,043
                                 UCC Investors Holdings, Inc., 10.50%, 2002               2,500       2,575
                                 -----------------------------------------------------------------------------
                                                                                                     12,292
- ----------------------------------------------------------------------------------------------------------------
</TABLE>
 
                                                                              11
<PAGE>   12
 
<TABLE>
<CAPTION>
(Dollars in thousands)
- --------------------------------------------------------------------------------------------------------------
                                                                                     PRINCIPAL
CORPORATE OBLIGATIONS                                                                  AMOUNT        VALUE
- --------------------------------------------------------------------------------------------------------------
<S>                              <C>                                                  <C>        <C>    
COMMUNICATIONS - 4.4%
                              (b)Arch Communications Group, 10.875%, 2008              $ 1,160    $    653
                                 CAI Wireless Systems, 12.25%, 2002                      1,000       1,045
                              (b)Call-Net Enterprises Inc., 13.25%, 2004                   850         631
                           (a)(b)Celcaribe, S.A., 13.50%, 2004                           1,050       1,008
                              (b)Cellular, Inc., 11.75%, 2003                              705         578
                                 Commnet Cellular, 11.25%, 2005                            370         394
                              (b)CS Wireless, 11.375%, 2006                              2,080       1,087
                              (b)Intelcom Group, Inc., 13.50%, with warrants 2005        1,220         777
                                 Intermedia Communications of Florida, Inc., 13.50%,
                                   2005, with warrants expiring 2000                     1,060       1,211
                              (b)MFS Communications Co., 8.875%, 2006                    5,360       3,343
                                 Mobilemedia Communications, 9.375%, 2007                2,700       2,585
                                 Nextlink Communications, 12.50%, 2006                   1,300       1,315
                                 Paging Network,
                                   11.75%, 2002                                          1,655       1,800
                                   10.125%, 2007                                         2,290       2,362
                              (b)PanAmSat, L.P., 11.375%, 2003                           2,680       2,291
                                 Rogers Cantel, 11.125%, 2002                            3,241       3,456
                                 360 Communications, 7.50%, 2006                         4,000       3,819
                                 USA Mobile Communications, Inc. II, 14.00%, 2004        1,770       2,080
                                 Vanguard Cellular Systems, 9.375%, 2006                 2,870       2,852
                                 -----------------------------------------------------------------------------
                                                                                                    33,287
- ----------------------------------------------------------------------------------------------------------------
CONSTRUCTION
MATERIALS - 2.0%
                                 American Standard Inc.
                                   10.875%, 1999                                           870         931
                                   11.375%, 2004                                         3,050       3,325
                                   9.25%, 2016                                             200         200
                              (b)Building Materials Corporation of America,
                                   11.75%, 2004                                          2,700       2,005
                                 Nortek, Inc., 9.875%, 2004                              1,400       1,327
                                 Triangle Pacific Corp., 10.50%, 2003                    1,800       1,863
                                 Waxman Industries, Inc.,
                                   11.125%, 2001                                         4,747       4,700
                              (a)  223,000 warrants expiring 2004                                      723
                                 -----------------------------------------------------------------------------
                                                                                                    15,074
- ----------------------------------------------------------------------------------------------------------------
CONSUMER PRODUCTS
AND SERVICES - 1.9%
                                 AMF Group, 10.875%, 2006                                2,700       2,686
                                 Cinemark USA, Inc., 12.00%, 2002                          893         971
                              (b)Dr. Pepper Bottling Holdings, Inc., 11.625%, 2003       1,290       1,083
                                 Premier Parks Inc., 12.00%, 2003                          620         670
                              (b)Six Flags Theme Park, 12.25%, 2005                      3,330       2,810
                                 Van De Kamps, Inc., 12.00%, 2005                          600         641
                                 West Point Stevens Inc., 9.375%, 2005                   5,310       5,190
                                 -----------------------------------------------------------------------------
                                                                                                    14,051
- ----------------------------------------------------------------------------------------------------------------
</TABLE>
 
12
<PAGE>   13
 

(DOLLARS IN THOUSANDS) 
<TABLE>
<CAPTION>
- -----------------------------------------------------------------------------------------------------------
                                                                                   PRINCIPAL
CORPORATE OBLIGATIONS                                                                AMOUNT        VALUE
- -----------------------------------------------------------------------------------------------------------
<S>                             <C>                                                   <C>        <C>
DRUGS AND                        
HEALTH CARE - 1.5%
                                 Dade International Inc.                               $   880     $  1,038
                                   13.00%, 2005                                          1,000        1,025
                                   11.125%, 2006                                           600          636
                                 Herff Jones, Inc., 11.00%, 2005                         1,220        1,330
                                 Magellan Health Services, 11.25%, 2004
                                 Ornda Healthcorporation                                 1,240        1,348
                                   12.25%, 2002                                            900        1,006
                                   11.375%, 2004
                                 Tenet Healthcare                                          540          576
                                   9.625%, 2002                                          2,500        2,550
                                   8.625%, 2003                                          1,450        1,548
                                   10.125%, 2005                                         
                                 ---------------------------------------------------------------------------
                                                                                                     11,057
- ------------------------------------------------------------------------------------------------------------
ENERGY AND RELATED
SERVICES - 2.9%
                                 Benton Oil & Gas, 11.625%, 2003                           670          682
                                 Chesapeake Energy Corporation, 10.50%, 2002               960        1,013
                                 Clark USA Inc., 10.875%, 2005                           2,700        2,808
                                 Coda Energy, 10.50%, 2006                                 760          770
                                 Empire Gas Corporation, 7.00%,
                                   with warrants, 2004                                   1,000          886
                                 Falcon Drilling, 8.875%, 2003                             320          316
                                 Ferrellgas Partners, L.P., 9.375%, 2006                 1,040        1,035
                                 Gulf Canada Resources Limited, 9.25%, 2004                 770         768
                                 Nuevo Energy Co., 9.50%, 2006                              520         523
                                 Oryx Energy Co., 8.00%, 2003                             4,000       3,859
                                 Parker and Parsley Petroleum, 8.25%, 2007                4,000       4,137
                                 Plains Resources, 10.25%, 2006                             530         535
                                 Sante Fe Energy Resources, Inc., 11.00%, 2004              300         325
                                 United Meridian Corp., 10.375%, 2005                     2,700       2,798
                                 Vintage Petroleum, 9.00%, 2005                             970         926
                                 ---------------------------------------------------------------------------
                                                                                                     21,381
- ------------------------------------------------------------------------------------------------------------
FINANCIAL SERVICES,
HOME BUILDERS AND
REAL ESTATE - 1.9%
                                 Bangkok Bank, 7.25%, 2005                                4,000       3,850
                                 Capital Pacific Holdings, 12.75%,
                                   with warrants, 2002                                      550         524
                                 Chelsea GCA Realty, 7.75%, 2001                          2,340       2,281
                                 Continental Homes Holding, 10.00%, 2006                  1,050       1,037
                                 Forecast Group L.P., 11.375%, 2000                         800         528
                                 Hovnanian Kent, 11.25%, 2002                             1,184       1,077
                                 Salomon Inc., 7.50%, 2003                                3,250       3,200
                                 Presley Companies, 12.50%, 2001                          1,680       1,596
                                 ---------------------------------------------------------------------------
                                                                                                     14,093
- ------------------------------------------------------------------------------------------------------------
LODGING AND
GAMING - 2.3%
                                 Bally's Park Place Funding, Inc., 9.25%, 2004            5,160       5,276
                                 Circus Circus Enterprises, 6.45%, 2006                   4,000       3,713
                                 Empress River Casino, 10.75%, 2002                       1,070       1,113
                                 La Quinta Motor Inns, 7.25%, 2004                        2,000       1,913
                                 Players International Inc., 10.875%, 2005                2,700       2,754
                                 Station Casinos Inc., 10.125%, 2006                        780         766
                                 Trump Atlantic City, 11.25%, 2006                        1,600       1,626
                                 ---------------------------------------------------------------------------
                                                                                                     17,161
- ------------------------------------------------------------------------------------------------------------
MANUFACTURING,
METAL AND
MINING - 3.8%
                                 Aftermarket Technology, 12.00%, 2004                     1,180       1,263
                                 Avondale Mills, 10.25%, 2006                               780         770
                                 Bluebird Body Company, 11.75%, 2002                      1,660       1,710
                                 Crain Industries, Inc., 13.50%, 2005                       700         730
                                 Day International Group Inc., 11.125%, 2005              1,460       1,489
                                 Essex Group Incorporated, 10.00%, 2003                     950         955
</TABLE>
 

                                                                              13
<PAGE>   14
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
- -------------------------------------------------------------------------------------------------------------    
                                                                                        PRINCIPAL
CORPORATE OBLIGATIONS                                                                    AMOUNT       VALUE
- -------------------------------------------------------------------------------------------------------------
<S>                          <C>                                                        <C>        <C>

                                 Fairfield Manufacturing Company, 11.375%, 2001         $   560    $    571
                                 Foamex L.P.
                                   9.50%, 2000                                            1,450       1,428
                                   11.25%, 2002                                             800         812
                              (b)  Foamex - JPS Automotive L.P., 14.00%,
                                   with warrants expiring, 2004                           1,200         774
                                 Great Dane Holding Company, 12.75%, 2001                 1,385       1,309
                                 GS Technologies,
                                   12.00%, 2004                                           1,280       1,322
                                   12.25%, 2005                                           1,220       1,264
                                 IMO Industries Inc., 11.75%, 2006                          650         655
                                 JPS Automotive Products Corporation, 11.125%, 2001         530         541
                                 Jordan Industries, 10.375%, 2003                         1,440       1,318
                                 Knoll Inc., 10.875%, 2006                                  820         845
                                 Newflo Corporation, 13.25%, 2002                         1,070       1,132
                                 NS Group, Inc., 13.50%, 2003                               885         810
                                 Pace Industries, Inc., 10.625%, 2002                       830         791
                                 Penda Industries, Inc., 10.75%, 2004                       670         593
                                 Terra Industries Inc., 10.50%, 2005                        650         691
                                 Thermedyne Industries, Inc.
                                   10.25%, 2002                                           1,637       1,674
                                   10.75%, 2003                                             682         690
                                 USX Corporation, 9.125%, 2013                            4,000       4,330
                                 ----------------------------------------------------------------------------
                                                                                                     28,467
- -------------------------------------------------------------------------------------------------------------
PAPER AND FOREST
PRODUCTS AND
CONTAINERS - 2.8%
                                 Berry Plastics Corporation, 12.25%,
                                   with warrants, 2004                                      505         553
                                 Container Corporation of America, 11.25%, 2004           1,595       1,651
                                 Crown Paper, 11.00%, 2005                                1,460       1,354
                                 Gaylord Container Corporation
                                   12.75%, 2005                                           1,840       1,914
                                   418,000 warrants expiring 1996                                     4,180
                                 Maxxam Group, Inc.
                                   11.25%, 2003                                           1,190       1,190
                              (b)  12.25%, 2003                                             150         113
                                 Owens-Illinois, Inc.
                                   11.00%, 2003                                           1,160       1,269
                                   9.75%, 2004                                            1,490       1,512
                                   9.95%, 2004                                            2,320       2,375
                                 Repap New Brunswick Inc., 10.625%, 2005                  1,550       1,457
                                 Riverwood International
                                   10.25%, 2006                                             870         872
                                   10.875%, 2008                                          1,830       1,825
                                 Sweetheart Cup Company Inc., 10.50%, 2003                  950         964
                                 -----------------------------------------------------------------------------
                                                                                                     21,229
- --------------------------------------------------------------------------------------------------------------
RETAILING - 2.1%
                                 Dominick's Finer Foods, 10.875%, 2005                    2,700       2,835
                                 Federated Department Stores, Inc., 10.00%, 2001          4,000       4,260
                                 Finlay Fine Jewelry Corporation, 10.625%, 2003             780         764
                                 P & C Food Markets, 11.50%, 2001                           880         903
                                 Pathmark Stores, Inc., 11.625%, 2002                     2,640       2,666
                                 Penn Traffic Company
                                   10.375%, 2004                                            100          97
                                   11.50%, 2006                                             530         547
                                 Ralph's Grocery Company, 10.45%, 2004                      700         686
                                 Southland Corp., 5.00%, 2003                             3,637       2,873
                                 -----------------------------------------------------------------------------
                                                                                                     15,631
- --------------------------------------------------------------------------------------------------------------
</TABLE>
 
14
<PAGE>   15
 
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
- -------------------------------------------------------------------------------------------------------------                      
                                                                                PRINCIPAL AMOUNT OR
CORPORATE OBLIGATIONS                                                            NUMBER OF SHARES     VALUE
- -------------------------------------------------------------------------------------------------------------
<S>                              <C>                                                    <C>        <C>
TECHNOLOGY - .6%
                                 Communication and Power Industry, Inc., 12.00%, 2005   $   550    $    583
                                 Computervision Corporation, 11.375%, 1999                3,430       3,593
                              (b)Shared Technologies, 12.25%, 2006                          800         592
                                 -----------------------------------------------------------------------------
                                                                                                      4,768
- --------------------------------------------------------------------------------------------------------------
TRANSPORTATION - 1.1%
                                 Delta Air Lines
                                   9.875%, 2008                                           1,417       1,566
                                   9.75%, 2021                                            3,500       3,995
                                 OMI Corp., 10.25%, 2003                                    320         302
                              (b)Transtar Holdings, L.P., 13.375%, 2003                     670         486
                                 United Airlines, 9.56%, 2018                             2,000       2,200
                                 ----------------------------------------------------------------------------
                                                                                                      8,549
                                 ----------------------------------------------------------------------------
                                 TOTAL CORPORATE OBLIGATIONS--41.0%
                                 (Cost: $302,261)                                                   307,204
                                 ----------------------------------------------------------------------------
- -------------------------------------------------------------------------------------------------------------
COMMON STOCKS AND
PREFERRED STOCKS - .4%
                                 Cablevision Systems, PIK, preferred                     10,142 shs.    988
                              (c)Echostar Communications                                 21,060         705
                              (c)Grand Union Company                                     62,037         388
                              (c)Thrifty Payless Inc.                                    25,650         112
                              (c)Walter Industries, Inc.                                 55,177         766
                                 ----------------------------------------------------------------------------
                                 TOTAL COMMON AND PREFERRED STOCKS
                                 (Cost: $5,059)                                                       2,959
                                 ----------------------------------------------------------------------------
- -------------------------------------------------------------------------------------------------------------
MONEY MARKET
INSTRUMENTS - 1.1%
                                 Yield--5.33-5.48%
                                 Due--May 1996
                                 (Cost: $8,485)                                         $ 8,500       8,484
                                 ----------------------------------------------------------------------------
                                 TOTAL INVESTMENTS--101.4%
                                 (Cost: $756,198)                                                   759,394
                                 ----------------------------------------------------------------------------
                                 LIABILITIES LESS OTHER ASSETS--(1.4%)                              (10,788)
                                 ----------------------------------------------------------------------------
                                 NET ASSETS--100%                                                  $748,606
                                 ----------------------------------------------------------------------------
</TABLE>
 
 NOTES TO PORTFOLIO OF INVESTMENTS
 
(a) The following securities may require registration under the Securities Act
of 1933 or an exemption therefrom in order to effect sale in the ordinary course
of business; they were valued at cost on the dates of acquisition. These
securities are valued at fair value as determined in good faith by the Board of
Trustees of the Fund. There were no market quotations available for unrestricted
securities of the same class on the dates of acquisition or on April 30, 1996.
At April 30, 1996, the value of the Fund's restricted securities was $1,731,000,
which represented .23% of net assets.
 
<TABLE>
<CAPTION>
                                                                       PRINCIPAL
                                                                       AMOUNT OR
                                                       DATE OF         NUMBER OF       UNIT
SECURITY DESCRIPTION                                 ACQUISITION         SHARES        COST
- -------------------------------------------------------------------------------------------------
<S>                                                 <C>                <C>            <C>  
Celcaribe, 13.50%, 2004                               May, 1995        $1,050,000     $80.13
- -------------------------------------------------------------------------------------------------
Waxman Industries, Inc., warrants                     June, 1994          223,000 shs.  2.00
- -------------------------------------------------------------------------------------------------
</TABLE>
 
(b) Deferred interest obligation; currently zero coupon under the terms of the
initial offering.
 
(c) Non-income producing security.
 
(d) Variable rate securities. Rates shown are effective rates on April 30, 1996.
The dates shown represent the final maturity of the obligations.
 
"PIK" denotes that interest or dividends are paid in kind.
 
Based on the cost of investments of $756,198,000, for federal income tax
purposes at April 30, 1996, the gross unrealized appreciation was $17,154,000,
the gross unrealized depreciation was $13,958,000 and the net unrealized
appreciation of investments was $3,196,000.
 
See accompanying Notes to Financial Statements.
 
                                                                              15
<PAGE>   16
 


STATEMENT OF ASSETS AND LIABILITIES
April 30, 1996
(IN THOUSANDS)

 
<TABLE>
<S>                                                                                            <C>
- -------------------------------------------------------------------------------------------------------
ASSETS
- -------------------------------------------------------------------------------------------------------

Investments, at value
(Cost: $756,198)                                                                               $759,394
- -------------------------------------------------------------------------------------------------------
Receivable for:
  Fund shares sold                                                                                  800
- -------------------------------------------------------------------------------------------------------
  Investments sold                                                                               27,718
- -------------------------------------------------------------------------------------------------------
  Interest                                                                                       14,069
- -------------------------------------------------------------------------------------------------------
TOTAL ASSETS                                                                                    801,981
- -------------------------------------------------------------------------------------------------------

- ------------------------------------------------------------------------------------------------------- 
 LIABILITIES AND NET ASSETS
- -------------------------------------------------------------------------------------------------------

Cash overdraft                                                                                    2,734
- -------------------------------------------------------------------------------------------------------
Payable for:
  Fund shares redeemed                                                                              185
- -------------------------------------------------------------------------------------------------------
  Investments purchased                                                                          49,462
- -------------------------------------------------------------------------------------------------------
  Management fee                                                                                    347
- -------------------------------------------------------------------------------------------------------
  Distribution services fee                                                                         158
- -------------------------------------------------------------------------------------------------------
  Administrative services fee                                                                       144
- -------------------------------------------------------------------------------------------------------
  Custodian and transfer agent fees and related expenses                                            300
- -------------------------------------------------------------------------------------------------------
  Trustees' fees and other                                                                           45
- -------------------------------------------------------------------------------------------------------
    Total liabilities                                                                            53,375
- -------------------------------------------------------------------------------------------------------
NET ASSETS                                                                                     $748,606
- -------------------------------------------------------------------------------------------------------
 
- -------------------------------------------------------------------------------------------------------
 ANALYSIS OF NET ASSETS
- -------------------------------------------------------------------------------------------------------

Paid-in capital                                                                                $987,522
- -------------------------------------------------------------------------------------------------------
Accumulated net realized loss on sales of investments and foreign currency transactions        (248,274)
- -------------------------------------------------------------------------------------------------------
Net unrealized appreciation on investments and assets and liabilities in foreign currencies       6,163
- -------------------------------------------------------------------------------------------------------
Undistributed net investment income                                                               3,195
- -------------------------------------------------------------------------------------------------------
NET ASSETS APPLICABLE TO SHARES OUTSTANDING                                                    $748,606
- -------------------------------------------------------------------------------------------------------

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

CLASS A SHARES
  Net asset value and redemption price per share
  ($493,338 / 83,617 shares outstanding)                                                          $5.90
- -------------------------------------------------------------------------------------------------------
  Maximum offering price per share
  (net asset value, plus 4.71% of
  net asset value or 4.50% of offering price)                                                     $6.18
- -------------------------------------------------------------------------------------------------------
CLASS B SHARES
  Net asset value and redemption price
  (subject to contingent deferred sales charge) per share
  ($251,443 / 42,619 shares outstanding)                                                          $5.90
- -------------------------------------------------------------------------------------------------------
CLASS C SHARES
  Net asset value and redemption price
  (subject to contingent deferred sales charge) per share
  ($3,808 / 643 shares outstanding)                                                               $5.92
- -------------------------------------------------------------------------------------------------------
CLASS I SHARES
  Net asset value and redemption price per share
  ($17 / 3 shares outstanding)                                                                    $5.90
- -------------------------------------------------------------------------------------------------------
</TABLE>
 
See accompanying Notes to Financial Statements.
 
16
<PAGE>   17
 
STATEMENT OF OPERATIONS
Six months ended April 30, 1996
(IN THOUSANDS)
 
 NET INVESTMENT INCOME
 
<TABLE>
<S>                                                                                             <C>
- -------------------------------------------------------------------------------------------------------- 
Interest income                                                                                 $31,657
- --------------------------------------------------------------------------------------------------------
 Expenses:
  Management fee                                                                                  2,117
- --------------------------------------------------------------------------------------------------------
  Distribution fee                                                                                  962
- --------------------------------------------------------------------------------------------------------
  Administrative services fee                                                                       816
- --------------------------------------------------------------------------------------------------------
  Custodian and transfer agent fees and related expenses                                          1,092
- --------------------------------------------------------------------------------------------------------
  Professional fees                                                                                  33
- --------------------------------------------------------------------------------------------------------
  Reports to shareholders                                                                            60
- --------------------------------------------------------------------------------------------------------
  Trustees' fees and other                                                                           16
- --------------------------------------------------------------------------------------------------------
   Total expenses                                                                                 5,096
- --------------------------------------------------------------------------------------------------------
NET INVESTMENT INCOME                                                                            26,561
- --------------------------------------------------------------------------------------------------------
 
 NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS
- -------------------------------------------------------------------------------------------------------- 
 
 Net realized gain on sales of investments and foreign
 currency transactions (including options purchased)                                              4,565
- --------------------------------------------------------------------------------------------------------
 Net realized gain from futures transactions                                                      3,296
- --------------------------------------------------------------------------------------------------------
  Net realized gain                                                                               7,861
- --------------------------------------------------------------------------------------------------------
 Change in net unrealized appreciation on investments
 and assets and liabilities in foreign currencies                                                (5,010)
- --------------------------------------------------------------------------------------------------------
Net gain on investments                                                                           2,851
- --------------------------------------------------------------------------------------------------------
NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                                            $29,412
- --------------------------------------------------------------------------------------------------------
</TABLE>
 
STATEMENT OF CHANGES IN NET ASSETS
 
(IN THOUSANDS)
 
<TABLE>
<CAPTION>
                                                                        SIX MONTHS
                                                                          ENDED                YEAR ENDED
                                                                        APRIL 30,              OCTOBER 31,
                                                                           1996                   1995
OPERATIONS, DIVIDENDS AND CAPITAL SHARE ACTIVITY
<S>                                                                     <C>                    <C>
 Net investment income                                                   $ 26,561                $ 67,431
- ----------------------------------------------------------------------------------------------------------
 Net realized gain (loss)                                                   7,861                    (384)
- ----------------------------------------------------------------------------------------------------------
 Change in net unrealized appreciation/depreciation                        (5,010)                 20,625
- ----------------------------------------------------------------------------------------------------------
Net increase in net assets resulting from operations                       29,412                  87,672
- ----------------------------------------------------------------------------------------------------------
Dividends to shareholders from net investment income                      (39,423)                (60,998)
- ----------------------------------------------------------------------------------------------------------
Net increase (decrease) from capital share transactions                     4,395                 (10,466)
- ----------------------------------------------------------------------------------------------------------
TOTAL INCREASE (DECREASE) IN NET ASSETS                                    (5,616)                 16,208
- ----------------------------------------------------------------------------------------------------------
</TABLE>
 
 NET ASSETS
 
<TABLE>
<S>                                                                     <C>                    <C>
Beginning of period                                                       754,222                 738,014
- ----------------------------------------------------------------------------------------------------------
END OF PERIOD (including undistributed net investment
income of $3,195 and $16,057, respectively)                              $748,606                $754,222
- ----------------------------------------------------------------------------------------------------------
</TABLE>
 
                                                                              17
<PAGE>   18
NOTES TO FINANCIAL STATEMENTS 
- --------------------------------------------------------------------------------
1
     DESCRIPTION OF THE FUND Kemper Diversified Income Fund is an open-end
                             management investment company organized as a
                             business trust under the laws of Massachusetts. The
                             Fund 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 are offered 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. 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. Portfolio securities that are
                             traded on a domestic securities exchange are valued
                             at the last sale price on the exchange where
                             primarily traded or, if there is no recent sale, at
                             the last current bid quotation. Portfolio
                             securities that are primarily traded on foreign
                             securities exchanges are generally valued at the
                             preceding closing values of such securities on
                             their respective exchanges where primarily traded.
                             Securities not so traded are valued at the last
                             current bid quotation if market quotations are
                             available. Exchange traded 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 options are valued
                             based upon 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 are
                             valued at the forward rates prevailing on the day
                             of valuation. Other securities and assets are
                             valued at fair value as determined in good faith by
                             the Board of Trustees.
 
                             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 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
 
18
<PAGE>   19

NOTES TO FINANCIAL STATEMENTS
- ------------------------------------------------------------------------------- 
                             with net realized and unrealized gain or loss from
                             investments and foreign currency transactions, 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 and interest income is recorded on
                             the accrual basis. Interest income includes
                             discount amortization on all fixed income
                             securities and premium amortization on
                             mortgage-backed securities. Realized gains and
                             losses from investment transactions are reported on
                             an identified cost basis.
 
                             The Fund may purchase securities with delivery or
                             payments to occur at a later date. At the time the
                             Fund enters into a commitment to purchase a
                             security, the transaction is recorded and the value
                             of the security is reflected in the net asset
                             value. The value of the security may vary with
                             market fluctuations. No interest accrues to the
                             Fund until payment takes place. At the time the
                             Fund enters into this type of transaction it is
                             required to segregate cash or other liquid assets
                             equal to the value of the securities purchased. At
                             April 30, 1996 the Fund had $18,809,000 in purchase
                             commitments outstanding (3% of net assets), with a
                             corresponding amount of assets segregated.
 
                             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.
 
                             FEDERAL INCOME TAXES. The Fund has complied with
                             the special provisions of the Internal Revenue Code
                             available to investment companies for the six
                             months ended April 30, 1996. The accumulated net
                             realized loss on sales of investments for federal
                             income tax purposes at April 30, 1996, amounting to
                             approximately $248,947,000, is available to offset
                             future taxable gains. If not applied, the loss
                             carryover expires during the period 1996 through
                             2003.
 
                             DIVIDENDS TO SHAREHOLDERS. The Fund declares and
                             pays dividends of net investment income monthly and
                             any 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.
 
                                                                              19
<PAGE>   20
NOTES TO FINANCIAL STATEMENTS 
- --------------------------------------------------------------------------------
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 .58% of the first $250 million of average daily
                             net assets declining to .42% of average daily net
                             assets in excess of $12.5 billion. The Fund
                             incurred a management fee of $2,117,000 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                     $52,000           335,000           40,000
</TABLE>
 
                             For services under the distribution services
                             agreement, the Fund pays KDI a fee of .75% of
                             average daily net assets of Class B and Class C
                             shares. Pursuant to the agreement, KDI enters into
                             related selling group agreements with various firms
                             at various rates for sales of Class B and Class C
                             shares. In addition, KDI receives any contingent
                             deferred sales charges (CDSC) from redemptions of
                             Class B and Class C shares. Distribution fees and
                             commissions paid in connection with the sale of
                             Class B and Class C shares and CDSC received in
                             connection with the redemption of such shares are
                             as follows:
 
<TABLE>
<CAPTION>
                                                                                              COMMISSIONS AND 
                                                                                                DISTRIBUTION
                                                                                                     FEES
                                                                   DISTRIBUTION FEES             PAID BY KDI
                                                                   AND CDSC RECEIVED    -------------------------------
                                                                        BY KDI          TO ALL FIRMS     TO AFFILIATES
                                                                   -----------------    -------------    --------------
                                    <S>                            <C>                  <C>              <C>
                                    Six months ended
                                    April 30, 1996                    $1,183,000           827,000           42,000
</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                     $816,000           836,000           40,000
</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 $749,000
                             for the six months ended April 30, 1996.
 
20
<PAGE>   21
NOTES TO FINANCIAL STATEMENTS 
                             
                             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 $16,000 to independent trustees.
 
- --------------------------------------------------------------------------------
4    INVESTMENT
     TRANSACTIONS            For the six months ended April 30, 1996, investment
                             transactions (excluding short-term instruments) are
                             as follows (dollars in thousands):
 
                             Purchases                                $1,128,861
 
                             Proceeds from sales                       1,157,486
 
- --------------------------------------------------------------------------------
5    CAPITAL SHARE
     TRANSACTIONS            The following table summarizes the activity in
                             capital shares of the Fund (in thousands):
 
<TABLE>
<CAPTION>
                                                                           SIX MONTHS ENDED          YEAR ENDED
                                                                            APRIL 30, 1996        OCTOBER 31, 1995
                                                                          ------------------    --------------------
                                                                          SHARES     AMOUNT      SHARES      AMOUNT      
                                      -----------------------------------------------------------------------------------
                                       <S>                                 <C>       <C>         <C>        <C>       <C>
                                       SHARES SOLD
                                       Class A                             5,485    $ 32,811     15,745    $  91,132
                                      -----------------------------------------------------------------------------------
                                       Class B                             5,292      31,612     12,618       73,317
                                      -----------------------------------------------------------------------------------
                                       Class C                               321       1,928        458        2,660
                                      -----------------------------------------------------------------------------------
                                       Class I                                 5          28         --           --
                                      -----------------------------------------------------------------------------------
                                       SHARES ISSUED IN REINVESTMENT OF DIVIDENDS
                                       Class A                             2,739      16,303      4,342       25,151
                                      -----------------------------------------------------------------------------------
                                       Class B                             1,349       8,031      2,146       12,431
                                      -----------------------------------------------------------------------------------
                                       Class C                                23         135         21          124
                                      -----------------------------------------------------------------------------------
                                       SHARES REDEEMED
                                       Class A                            (9,371)    (56,009)   (23,466)    (136,212)
                                      -----------------------------------------------------------------------------------
                                       Class B                            (4,894)    (29,219)   (13,450)     (78,345)
                                      -----------------------------------------------------------------------------------
                                       Class C                              (203)     (1,214)      (125)        (724)
                                      -----------------------------------------------------------------------------------
                                       Class I                                (2)        (11)        --           --
                                      -----------------------------------------------------------------------------------
                                       CONVERSION OF SHARES
                                       Class A                             1,423       8,512      4,551       26,461
                                      -----------------------------------------------------------------------------------
                                       Class B                            (1,424)     (8,512)    (4,551)     (26,461)
                                      -----------------------------------------------------------------------------------
                                      NET INCREASE
                                      (DECREASE) FROM CAPITAL
                                      SHARE TRANSACTIONS                            $  4,395               $ (10,466)
                                      -----------------------------------------------------------------------------------
</TABLE>
 
                                                                              21
<PAGE>   22
NOTES FINANCIAL STATEMENTS 
- --------------------------------------------------------------------------------
6    FINANCIAL FUTURES
     CONTRACTS               The Fund has entered into exchange traded financial
                             futures contracts in order to help protect it from
                             anticipated market conditions and, as such, bears
                             the market risk that arises from owning these
                             contracts.
 
                             At the time the Fund enters into a futures
                             contract, it is required to make a margin deposit
                             with its custodian. Subsequently, gain or loss is
                             recognized and payments are made on a daily basis
                             between the Fund and the broker as the market value
                             of the futures contract changes. At April 30, 1996,
                             the market value of assets segregated at the
                             custodian to cover margin requirements was
                             $3,700,000. The Fund also had liquid securities in
                             its portfolio sufficient to cover the following
                             short futures position open at April 30, 1996:
 
<TABLE>
<CAPTION>
                                                                               EXPIRATION      GAIN AT
                             TYPE                             FACE AMOUNT        MONTH         4/30/96
                             --------------------------------------------------------------------------
                             <S>                              <C>                <C>           <C>           
                             U.S. Treasury Securities         $41,224,000        June          $456,000
</TABLE>
 
- --------------------------------------------------------------------------------

7    FORWARD FOREIGN
     CURRENCY CONTRACTS      In order to protect it from 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 unrealized
                             gain (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's outstanding forward foreign currency
                             contracts are as follows (in thousands):
 
<TABLE>
<CAPTION>
                                          FOREIGN CURRENCY          CONTRACT AMOUNT      SETTLEMENT      UNREALIZED GAIN
                                           TO BE DELIVERED          IN U.S. DOLLARS         DATE           AT 4/30/96
                                      <C>       <S>                 <C>                  <C>             <C>
                                      ----------------------------------------------------------------------------------
                                        18,620  British Pounds          $27,893          July 1996           $   186
                                      ----------------------------------------------------------------------------------
                                        61,400  Dutch Guilders           35,854           May 1996             2,087
                                      ----------------------------------------------------------------------------------
                                       332,900  French Franc             64,543          July 1996               694
                                      ----------------------------------------------------------------------------------
                                                Net unrealized gain                                          $ 2,967
                                      ----------------------------------------------------------------------------------
</TABLE>
 
22
<PAGE>   23
FINANCIAL HIGHLIGHTS 

<TABLE>
<CAPTION>
                                                 SIX MONTHS ENDED           YEAR ENDED OCTOBER 31,
                     CLASS A                      APRIL 30, 1996      1995      1994     1993      1992
<S>                                              <C>                  <C>       <C>      <C>       <C>
- --------------------------------------------------------------------------------------------------------
PER SHARE OPERATING PERFORMANCE
- --------------------------------------------------------------------------------------------------------
Net asset value, beginning of period                   $5.98           5.77     6.23      5.65      5.47
- --------------------------------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                                  .22            .55      .52       .59       .63
- --------------------------------------------------------------------------------------------------------
  Net realized and unrealized gain (loss) on
  investments and foreign currency                       .02            .16     (.45)      .58       .14
- --------------------------------------------------------------------------------------------------------
Total from investment operations                         .24            .71      .07      1.17       .77
- --------------------------------------------------------------------------------------------------------
Less distribution from net investment income             .32            .50      .53       .59       .59
- --------------------------------------------------------------------------------------------------------
Net asset value, end of period                         $5.90           5.98     5.77      6.23      5.65
- --------------------------------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED)                           4.12%         12.90     1.02     21.60     14.59
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses                                                1.03%          1.09     1.12      1.10      1.19
- --------------------------------------------------------------------------------------------------------
Net investment income                                   7.28           9.43     8.81      9.74     11.02
- --------------------------------------------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                                                        
                                                                                        MAY 31, 1994   
                                                 SIX MONTHS ENDED      YEAR ENDED            TO        
                     CLASS B                      APRIL 30, 1996      OCT. 31, 1995     OCT. 31, 1994
<S>                                              <C>                  <C>               <C>
- ----------------------------------------------------------------------------------------------------
PER SHARE OPERATING PERFORMANCE
- ----------------------------------------------------------------------------------------------------
Net asset value, beginning of period                   $5.98               5.77             5.94
- ----------------------------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                                  .19                .49              .19
- ----------------------------------------------------------------------------------------------------
  Net realized and unrealized gain (loss) on
  investments and foreign currency                       .02                .16            (.17)
- ----------------------------------------------------------------------------------------------------
Total from investment operations                         .21                .65              .02
- ----------------------------------------------------------------------------------------------------
Less distribution from net investment income             .29                .44              .19
- ----------------------------------------------------------------------------------------------------
Net asset value, end of period                         $5.90               5.98             5.77
- ----------------------------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED)                           3.62%             11.87              .35
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses                                                1.96%              2.04             1.97
- ----------------------------------------------------------------------------------------------------
Net investment income                                   6.35               8.48             8.01
- ----------------------------------------------------------------------------------------------------   
</TABLE>
        
<TABLE> 
<CAPTION>
                                                                                                          CLASS I       
                                                                                       MAY 31, 1994    NOV. 22, 1995    
                                                    SIX MONTHS ENDED    YEAR ENDED          TO               TO         
                      CLASS C                        APRIL 30, 1996    OCT. 31, 1995   OCT. 31, 1994   APRIL 30, 1996   
                                                                                                       
<S>                                                     <C>                <C>             <C>             <C>
- ---------------------------------------------------------------------------------------------------    -------------- 
PER SHARE OPERATING PERFORMANCE
- ---------------------------------------------------------------------------------------------------    --------------

Net asset value, beginning of period                      $6.00             5.79           5.95             5.98
- ---------------------------------------------------------------------------------------------------    --------------
Income from investment operations:
  Net investment income                                     .20              .50            .20              .19
- ---------------------------------------------------------------------------------------------------    --------------
  Net realized and unrealized gain (loss) on
  investments and foreign currency                          .02              .16           (.17)             .02
- ---------------------------------------------------------------------------------------------------    --------------
Total from investment operations                            .22              .66            .03              .21
- ---------------------------------------------------------------------------------------------------    --------------
Less distribution from net investment income                .30              .45            .19              .29
- ---------------------------------------------------------------------------------------------------    --------------
Net asset value, end of period                            $5.92             6.00           5.79             5.90
- ---------------------------------------------------------------------------------------------------    --------------
TOTAL RETURN (NOT ANNUALIZED)                              3.68%           11.95            .55             2.66
- ---------------------------------------------------------------------------------------------------    --------------
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
- ---------------------------------------------------------------------------------------------------    --------------
Expenses                                                   1.85%            1.84           1.96              .76
- ---------------------------------------------------------------------------------------------------    --------------
Net investment income                                      6.46             8.68           8.02             7.55
- ---------------------------------------------------------------------------------------------------    --------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                  SIX MONTHS ENDED               YEAR ENDED OCTOBER 31,
SUPPLEMENTAL DATA FOR ALL CLASSES                  APRIL 30, 1996       1995        1994        1993        1992
<S>                                               <C>                  <C>         <C>         <C>         <C>
- ------------------------------------------------------------------------------------------------------------------
Net assets at end of period (in thousands)            $748,606         754,222     738,014     328,512     244,620
- ------------------------------------------------------------------------------------------------------------------
Portfolio turnover rate (annualized)                       307%            286         179          80          57
- ------------------------------------------------------------------------------------------------------------------
</TABLE>
 
NOTE: Total return does not reflect the effect of any sales charges.
 
                                                                              23

<PAGE>   24
                                                         
TRUSTEES AND OFFICERS                                    
                                                         
TRUSTEES                       OFFICERS                  
                                                         
STEPHEN B. TIMBERS             JOHN E. NEAL              PHILIP J. COLLORA    
President and Trustee          Vice President            Vice President       
                                                         and Secretary        
DAVID W. BELIN                 JOHN E. PETERS                                 
Trustee                        Vice President            JEROME L. DUFFY      
                                                         Treasurer            
LEWIS A. BURNHAM               J. PATRICK BEIMFORD, JR.                       
Trustee                        Vice President            ELIZABETH C. WERTH   
                                                         Assistant Secretary  
DONALD L. DUNAWAY              ROBERT S. CESSINE
Trustee                        Vice President

ROBERT B. HOFFMAN              GORDON K. JOHNS
Trustee                        Vice President

DONALD R. JONES                MICHAEL A. MCNAMARA
Trustee                        Vice President

DOMINIQUE P. MORAX             HARRY E. RESIS, JR.
Trustee                        Vice President

SHIRLEY D. PETERSON            JONATHAN W. TRUTTER
Trustee                        Vice President

WILLIAM P. SOMMERS             RICHARD L. VANDENBERG
Trustee                        Vice President

                               
                               
                               

- --------------------------------------------------------------------------------
LEGAL COUNSEL
                           VEDDER, PRICE, KAUFMAN & KAMMHOLZ
                           222 North LaSalle Street
                           Chicago, IL 60601
 
- --------------------------------------------------------------------------------
SHAREHOLDER SERVICE AGENT
                           KEMPER SERVICE COMPANY
                           P.O. Box 419557
                           Kansas City, MO 64141
                           1-800-621-1048
 
- --------------------------------------------------------------------------------
CUSTODIAN AND TRANSFER AGENT
                           INVESTORS FIDUCIARY TRUST COMPANY
                           127 West 10th Street
                           Kansas City, MO 64105
 
- --------------------------------------------------------------------------------
INVESTMENT MANAGER
                           ZURICH KEMPER INVESTMENTS, INC.
 
PRINCIPAL UNDERWRITER
                           KEMPER DISTRIBUTORS, INC.
                           120 S. LaSalle Street  Chicago, IL 60603
                           http://www.kemper.com
 
(RECYCLE LOGO)
Printed on recycled paper.                               

This report is not to be distributed
unless preceded or accompanied by a
Kemper Fixed Income Funds prospectus.                                   
                                                                   [KEMPER LOGO]
KDIF - 3 (6/96)                                                          1016850
                                                           Printed in the U.S.A.


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