KEMPER INVESTORS FUND
N-30D, 1995-09-07
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<PAGE>   1
 
                             KEMPER INVESTORS FUND
                              FINANCIAL STATEMENTS
 
                                       13
<PAGE>   2
 
KEMPER INVESTORS FUND
 
STATEMENT OF ASSETS AND LIABILITIES
JUNE 30, 1995 (UNAUDITED)
(IN THOUSANDS)
 
<TABLE>
<CAPTION>
                                                                                                                       Small
                                        Money       Total       High                  Government                   Capitalization
                                       Market      Return       Yield      Equity     Securities   International       Equity
                                      Portfolio   Portfolio   Portfolio   Portfolio   Portfolio      Portfolio       Portfolio
                                      ---------   ---------   ---------   ---------   ----------   -------------   --------------
<S>                                   <C>         <C>         <C>         <C>         <C>          <C>             <C>
ASSETS
  Investments, at value (Cost:
    $64,246, $521,105, $252,733,
    $281,233, $103,642, $112,281 and
    $17,939, respectively):.........   $64,246     587,681     249,486     351,676      106,168       124,731          20,481
  Cash..............................       535       1,332         728         148          367         4,473             220
  Receivable for:
    Investments sold................        --      49,660       1,020      10,075           79         2,263             353
    Interest and dividends..........       130       5,483       5,694         530          817           399               3
                                      ---------   ---------   ---------   ---------   ----------   -------------       ------
        Total assets................    64,911     644,156     256,928     362,429      107,431       131,866          21,057
 
LIABILITIES AND NET ASSETS
  Payable for:
    Investments purchased...........        --       8,794       4,031       3,739       12,176         4,808             336
    Dividends.......................       148          --          --          --           --            --              --
    Management fee..................        27         291         130         175           44            79              11
    Custodian and transfer agent
      fees and related expenses.....         3          72          13          21            5            75               5
    Other...........................        20          13          17          16           11            17               5
                                      ---------   ---------   ---------   ---------   ----------   -------------       ------
        Total liabilities...........       198       9,170       4,191       3,951       12,236         4,979             357
                                      ---------   ---------   ---------   ---------   ----------   -------------       ------
  Net assets........................   $64,713     634,986     252,737     358,478       95,195       126,887          20,700
                                       =======     =======     =======     =======    ===========  ===========     ============
 
ANALYSIS OF NET ASSETS
  Excess of amounts received from
    issuance of shares over amounts
    paid on redemptions of shares on
    account of capital..............   $64,713     562,647     269,868     280,409       83,602       118,276          17,987
  Undistributed net realized gain
    (loss) on sales of investments
    and foreign currency
    transactions....................        --      (7,669)    (23,410)      3,818       (5,235)       (5,081)             65
  Net unrealized appreciation
    (depreciation) on investments
    and assets and liabilities in
    foreign currencies..............        --      66,576      (3,247)     70,443        2,526        12,056           2,542
  Undistributed net investment
    income..........................        --      13,432       9,526       3,808       14,302         1,636             106
                                      ---------   ---------   ---------   ---------   ----------   -------------       ------
  Net assets applicable to shares
    outstanding.....................   $64,713     634,986     252,737     358,478       95,195       126,887          20,700
                                       =======     =======     =======     =======    ===========  ===========     ============
 
THE PRICING OF SHARES
  Shares outstanding, no par
    value...........................    64,713     269,455     214,228     124,869       79,883       100,465          17,337
                                       =======     =======     =======     =======    ===========  ===========     ============
  Net asset value and redemption
    price per share (Net
    assets / shares outstanding)....   $  1.00       2.357       1.180       2.871        1.192         1.263           1.194
                                       =======     =======     =======     =======    ===========  ===========     ============
</TABLE>
 
See accompanying notes to financial statements.
 
                                       14
<PAGE>   3
 
KEMPER INVESTORS FUND
STATEMENT OF OPERATIONS
FOR THE SIX MONTHS ENDED JUNE 30, 1995 (UNAUDITED)
(IN THOUSANDS)
 
<TABLE>
<CAPTION>
                                                                                                                      Small
                                       Money       Total        High                   Government                 Capitalization
                                       Market      Return      Yield       Equity     Securities   International      Equity
                                      Portfolio   Portfolio   Portfolio   Portfolio    Portfolio     Portfolio      Portfolio
                                      ---------   ---------   ---------   ---------    ----------  -------------  --------------
<S>                                   <C>         <C>         <C>         <C>          <C>           <C>            <C>
Investment income:
 
  Interest..........................  $2,384      10,361      13,790         613        3,996           327            93
  Dividends.........................      --       3,254          11       2,233           --         1,521            23
                                      ------      ------      ------      ------       ------        ------         -----
                                       2,384      13,615      13,801       2,846        3,996         1,848           116
  Less foreign taxes withheld.......      --          --          --          --           --           153            --
                                      ------      ------      ------      ------       ------        ------         -----
    Total investment income.........   2,384      13,615      13,801       2,846        3,996         1,695           116
Expenses:
  Management fee....................     195       1,675         720         979          272           451            54
  Custodian and transfer agent fees
    and related expenses............       6          69          21          14           14            47             9
  Professional fees.................       5          23           8          11            3             4            --
  Trustees' fees and other..........       1          49          22          26           13            17             4
                                      ------      ------      ------      ------       ------        ------         -----
    Total expenses..................     207       1,816         771       1,030          302           519            67
                                      ------      ------      ------      ------       ------        ------         -----
Net investment income...............   2,177      11,799      13,030       1,816        3,694         1,176            49
Net realized and unrealized gain
  (loss) on investments:
  Net realized gain (loss) on sales
    of investments and foreign
    currency transactions...........      --      19,310      (3,281)      4,670        1,901        (5,056)          193
  Net realized gain from futures
    transactions....................      --          --          --          --          243            --            --
                                      ------      ------      ------      ------       ------        ------         -----
    Net realized gain (loss)........   2,177      19,310      (3,281)      4,670        2,144        (5,056)          193
  Change in net unrealized
    appreciation on investments and
    assets and liabilities in
    foreign currencies..............      --      54,417      12,891      44,459        5,178         8,616         2,240
                                      ------      ------      ------      ------       ------        ------         -----
Net gain on investments.............      --      73,727       9,610      49,129        7,322         3,560         2,433
                                      ------      ------      ------      ------       ------        ------         -----
Net increase in net assets resulting
  from operations...................  $2,177      85,526      22,640      50,945       11,016         4,736         2,482
                                      ======      ======      ======      ======       ======        ======         =====
</TABLE>
 
                                       15
<PAGE>   4
 
KEMPER INVESTORS FUND
STATEMENT OF CHANGES IN NET ASSETS
FOR THE SIX MONTHS ENDED JUNE 30, 1995 (UNAUDITED)
AND FOR THE YEAR ENDED DECEMBER 31, 1994
(IN THOUSANDS)
 
<TABLE>
<CAPTION>
                                                                                    Money Market                Total Return
                                                                                      Portfolio                   Portfolio
                                                                                ---------------------       ---------------------
                                                                                  1995          1994         1995          1994
                                                                                --------       ------       -------       -------
<S>                                                                             <C>            <C>          <C>           <C>
Operations:
  Net investment income......................................................   $  2,177        4,049        11,799        19,352
  Net realized gain (loss)...................................................         --           --        19,310       (26,384)
  Change in net unrealized appreciation (depreciation).......................         --         (495)       54,417       (55,621)
                                                                                --------       ------       -------       -------
    Net increase (decrease) in net assets resulting from operations..........      2,177        3,554        85,526       (62,653)
Equalization credits (charges)...............................................         --           --          (892)          721
Dividends to shareholders:
  Distribution from net investment income....................................     (2,177)      (4,049)      (18,740)      (15,302)
  Distribution from net realized gain on investments.........................         --           --            --       (42,771)
  Distribution in excess of net realized gain on investments.................         --           --            --          (586)
                                                                                --------       ------       -------       -------
Total dividends to shareholders..............................................     (2,177)      (4,049)      (18,740)      (58,659)
Net (decrease) increase from capital share transactions......................    (19,108)      15,644       (17,502)       63,355
Capital contribution from investment manager.................................         --          495            --            --
                                                                                --------       ------       -------       -------
Total (decrease) increase in net assets......................................    (19,108)      15,644        48,392       (57,236)
Net assets:
  Beginning of period........................................................     83,821       68,177       586,594       643,830
                                                                                --------       ------       -------       -------
  End of period..............................................................   $ 64,713       83,821       634,986       586,594
                                                                                ========       ======       =======       =======
Undistributed net investment income at end of period.........................   $     --           --        13,432        21,265
                                                                                ========       ======       =======       =======
</TABLE>
 
(a) For the period from May 2, 1994 (commencement of operations) to December 31,
    1994.
 
See accompanying notes to financial statements.
 
                                       16
<PAGE>   5
 
<TABLE>
<CAPTION>
                                                    Government                                       Small
    High Yield                Equity                Securities            International         Capitalization
     Portfolio               Portfolio              Portfolio               Portfolio          Equity Portfolio
- -------------------     -------------------     ------------------     -------------------     -----------------
 1995        1994        1995        1994        1995       1994        1995        1994        1995      1994(a)
- -------     -------     -------     -------     ------     -------     -------     -------     ------     ------
<S>         <C>         <C>         <C>         <C>        <C>         <C>         <C>         <C>        <C>
 13,030      21,022       1,816       2,041      3,694       6,026       1,176         828         49         37
 (3,281)     (6,998)      4,670      23,805      2,144      (6,812)     (5,056)      1,853        193       (128)
 12,891     (19,015)     44,459     (37,642)     5,178      (2,415)      8,616      (7,631)     2,240        302
- -------     -------     -------     -------     ------     -------     -------     -------     ------     ------
 22,640      (4,991)     50,945     (11,796)    11,016      (3,201)      4,736      (4,950)     2,482        211
    381      (1,390)        111         432     (1,259)     (2,672)         21         422         36         60
(22,165)    (19,251)     (1,120)         --     (6,202)     (5,312)       (970)         --        (76)        --
     --          --     (24,649)    (14,929)        --      (2,095)     (1,941)     (1,170)        --         --
     --          --          --          --         --        (561)         --          --         --         --
- -------     -------     -------     -------     ------     -------     -------     -------     ------     ------
(22,165)    (19,251)    (25,769)    (14,929)    (6,202)     (7,968)     (2,911)     (1,170)       (76)        --
 32,466      11,083      11,483      63,540     (4,142)    (12,289)      2,331      39,528      5,349     12,538
     --          --          --          --         --          --          --          --         --         --
- -------     -------     -------     -------     ------     -------     -------     -------     ------     ------
 33,322     (14,549)     36,770      37,247       (587)    (26,130)      4,177      33,830      7,791     12,809
219,415     233,964     321,708     284,461     95,782     121,912     122,710      88,880     12,909        100
- -------     -------     -------     -------     ------     -------     -------     -------     ------     ------
252,737     219,415     358,478     321,708     95,195      95,782     126,887     122,710     20,700     12,909
=======     =======     =======     =======     ======     =======     =======     =======     ======     ======
  9,526      18,280       3,808       3,001     14,302      18,069       1,636       1,716        106         97
=======     =======     =======     =======     ======     =======     =======     =======     ======     ======
</TABLE>
 
                                       17
<PAGE>   6
 
KEMPER INVESTORS FUND
 
NOTES TO FINANCIAL STATEMENTS

(1) DESCRIPTION OF THE FUND
 
Kemper Investors Fund (the "Fund") is an open-end, diversified management
investment company organized as a business trust under the laws of
Massachusetts. The Fund offers multiple Portfolios, currently consisting of the
Money Market, Total Return, High Yield, Equity, Government Securities,
International and Small Capitalization Equity Portfolios. The Fund has an
unlimited number of authorized shares.
 
(2) SIGNIFICANT ACCOUNTING POLICIES
 
INVESTMENT VALUATION.
 
Investments are stated at value.
 
The securities of the Total Return, High Yield, Equity, Government Securities,
International and Small Capitalization Equity Portfolios that are traded on a
domestic securities exchange or securities listed on the NASDAQ National Market
are valued at the last sale price on the exchange or market where primarily
traded or listed or, if there is no recent sale, at the last current bid
quotation. Portfolio securities that are primarily traded on foreign securities
exchanges are generally valued at the preceding closing values of such
securities on their respective exchanges where primarily traded. A security that
is listed or traded on more than one exchange is valued at the quotation on the
exchange determined to be the primary market for that security by the Board of
Trustees or its delegates. Securities not so traded or listed are valued at the
last current bid quotation if market quotations are available. Fixed income
securities are valued by using market quotations, or independent pricing
services that use prices provided by market makers or estimates of market values
obtained from yield data relating to instruments or securities with similar
characteristics. Equity options are valued at the last sale price unless the bid
price is higher or the asked price is lower, in which event such bid or asked
price is used. Exchange traded fixed income options are valued at the last sale
price unless there is no sale price, in which event prices provided by market
makers are used. Over-the-counter traded fixed income options are valued based
upon prices provided by market makers. Financial futures and options thereon are
valued at the settlement price established each day by the board of trade or
exchange on which they are traded. Forward foreign currency contracts and
foreign currencies are valued at the forward and current exchange rates,
respectively, prevailing on the day of valuation. Other securities and assets
are valued at fair value as determined in good faith by the Board of Trustees.
 
The securities of the Money Market Portfolio are stated at amortized cost, which
approximates market value. In the event that a deviation of 1/2 of 1% or more
exists between the Portfolio's $1.00 per share net asset value, calculated at
amortized cost, and the net asset value calculated by reference to market
quotations, or if there is any other deviation that the Board of Trustees
believes would result in a material dilution to shareholders or purchasers, the
Board of Trustees will promptly consider what action, if any, should be
initiated.
 
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. Dollars at the mean between the bid and offered quotations of such
currencies against the U.S. Dollar 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 Portfolios include
that portion of the results of operations resulting from changes in foreign
exchange rates with the net realized and unrealized gain (loss) from
investments, as appropriate.
 
                                       18
<PAGE>   7
 
NOTES TO FINANCIAL STATEMENTS--(CONTINUED)
 
INVESTMENT TRANSACTIONS AND INVESTMENT INCOME.
 
Investment transactions are accounted for on the trade date (date the order to
buy or sell is executed). Dividend income is recorded on the ex-dividend date,
except that certain dividends from foreign securities are recorded as soon as
the information is available to the Fund. Interest income is recorded on the
accrual basis and includes premium and discount amortization on money market
instruments and mortgage-backed securities; it also includes original issue and
market discount amortization on long-term fixed income securities. Realized
gains and losses from investment transactions are reported on an identified cost
basis. Gains and losses on premiums from expired options are recognized on date
of expiration. Realized and unrealized gains or losses on financial futures,
options and forward foreign currency contracts are included in net realized and
unrealized gain (loss) on investments, as appropriate.
 
Several of the Portfolios may purchase securities with delivery or payment to
occur at a later date. At the time a Portfolio 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 Portfolio until payment takes
place. At the time the Portfolio enters into this type of transaction it is
required to designate cash or other liquid assets equal to the value of the
securities purchased. At June 30, 1995, the Government Securities Portfolio had
$11,951,000 of purchase commitments outstanding (13% of net assets) with a
corresponding amount of assets designated.
 
EXPENSES.
 
Expenses arising in connection with a Portfolio are allocated to that Portfolio.
Other Fund expenses are allocated among the Portfolios in proportion to their
relative net assets.
 
FUND SHARE VALUATION.
 
Shares of each Portfolio of the Fund are offered on a continuous basis to the
separate accounts of participating insurance companies where permitted by law.
On each day the New York Stock Exchange is open for trading, each Portfolio
determines its net asset value per share (NAV) by dividing the total value of
the Portfolio's investments and other assets, less liabilities, by the number of
Portfolio shares outstanding. The NAV is determined as of the earlier of 3:00
p.m. Chicago time or the close of the Exchange for the Total Return, High Yield,
Equity, Government Securities, International and Small Capitalization Equity
Portfolios and at 11:00 a.m. and as of the earlier of 3:00 p.m. Chicago time or
the close of the Exchange for the Money Market Portfolio. Because of the need to
obtain prices as of the close of trading on various exchanges throughout the
world, the calculation of net asset value for the International Portfolio does
not take place contemporaneously with the determination of prices of the Fund's
foreign securities.
 
FEDERAL INCOME TAXES AND DIVIDENDS TO SHAREHOLDERS.
 
Each Portfolio has complied with the special provisions of the Internal Revenue
Code available to investment companies for the six months ended June 30, 1995.
The accumulated net realized loss on sales of investments for federal income tax
purposes at June 30, 1995 amounted to approximately $7,879,000 in the Total
Return Portfolio, $23,396,000 in the High Yield Portfolio, $4,668,000 in the
Government Securities Portfolio and $4,925,000 in the International Portfolio.
These losses are available to offset future taxable gains in their respective
Portfolios and, if not applied, expire during the period 1998 through 2003.
 
Distributions to shareholders are determined in accordance with income tax
principles which may treat certain transactions differently from generally
accepted accounting principles.
 
                                       19
<PAGE>   8
 
NOTES TO FINANCIAL STATEMENTS--(CONTINUED)
 
Dividends payable to shareholders are recorded by the Total Return, High Yield,
Equity, Government Securities, International and Small Capitalization Equity
Portfolios on the ex-dividend date. Net realized capital gains, if any, reduced
by capital loss carryovers, will be distributed at least annually.
 
The Money Market Portfolio declares a daily dividend equal to its net investment
income for that day, payable monthly.
 
Shareholders will receive dividends in additional shares.
 
EQUALIZATION ACCOUNTING.
 
A portion of proceeds from sales and cost of redemptions of Fund shares in the
Total Return, High Yield, Equity, Government Securities, International and Small
Capitalization Equity Portfolios is credited or charged to undistributed net
investment income so that income per share available for distribution is not
affected by sales or redemptions of shares.
 
OTHER CONSIDERATIONS.
 
The High Yield Portfolio invests a substantial portion of its assets in high
yield bonds. These bonds ordinarily are in the lower rating categories of
recognized rating agencies or are non-rated, and thus involve more risk than
higher rated bonds.
 
Kemper Financial Services, Inc. (KFS), the Fund's investment manager, may serve
as a member of various bondholders' committees. These committees represent the
interests of bondholders in restructuring negotiations and court proceedings. As
a result of participation on such committees, KFS may receive material,
non-public information with respect to bonds the Fund owns. Accordingly, the
Fund may be temporarily precluded from effecting transactions in such bonds due
to various restraints imposed by federal and state securities laws involving the
possession of material, non-public information.
 
(3) TRANSACTIONS WITH AFFILIATES
 
The Fund has a management agreement with KFS. For management services and
facilities furnished, the Fund pays a fee, based on average daily net assets, at
an annual rate of .50% for the Money Market Portfolio, .55% for the Total Return
and Government Securities Portfolios, .60% for the High Yield and Equity
Portfolios, .65% for the Small Capitalization Equity Portfolio and .75% for the
International Portfolio. For the six months ended June 30, 1995, the Fund
incurred management fees of $4,346,000. Kemper Distributors, Inc., an affiliate
of KFS, is the distributor and principal underwriter for shares of the Fund.
 
Kemper Asset Holdings, Inc. (KAHI), a subsidiary of Kemper Corporation, the
parent company of Kemper Financial Services, Inc., arranged for the issuance of
an irrevocable letter of credit from the Bank of New York for the benefit of the
Fund. The letter of credit supports the payment of $3,000,000 of principal plus
interest on the Orange County, California obligation held in the Money Market
Portfolio. In early July, the letter of credit was increased to $3,201,000, the
maturity of the obligation was extended to June 30, 1996 and the interest rate
was increased by .95%. The Fund and KAHI are parties to an agreement related to
the letter of credit which provides, among other things, that, in connection
with a payment of principal or interest under the letter of credit, the Fund
will transfer to KAHI any proceeds received under the Orange County obligation.
 
The Fund has a custodian and a transfer agent agreement with Investors Fiduciary
Trust Company, which was 50% owned by KFS until January 31, 1995 when KFS
completed the sale of IFTC to a third party. For the six months ended June 30,
1995, the Fund incurred custodian and transfer agent fees and related expenses
of $180,000.
 
                                       20
<PAGE>   9
 
NOTES TO FINANCIAL STATEMENTS--(CONTINUED)
 
Certain officers or trustees of the Fund are also officers or directors of KFS.
During the six months ended June 30, 1995, the Fund made no direct payments to
its officers and incurred trustees' fees of $47,000 to independent trustees.
 
(4) INVESTMENT TRANSACTIONS
 
For the six months ended June 30, 1995 investment transactions (excluding
temporary short-term investments) are as follows (in thousands):
 
<TABLE>
<CAPTION>
                                                                                                                       Small
                                          Total         High                      Government                       Capitalization
                                         Return         Yield        Equity       Securities     International         Equity
                                        Portfolio     Portfolio     Portfolio     Portfolio        Portfolio         Portfolio
                                        ---------     ---------     ---------     ----------     -------------     --------------
<S>                                     <C>           <C>           <C>           <C>            <C>               <C>
Purchases.............................  $ 481,973      153,929       110,869        208,006          64,669            11,000
                                        ---------     ---------     ---------     ----------         ------            ------
Proceeds from sales...................  $ 493,079      117,897       123,471        207,949          61,346             5,297
                                        ---------     ---------     ---------     ----------         ------            ------
</TABLE>
 
(5) CAPITAL SHARE TRANSACTIONS
 
The following table summarizes the activity in capital shares of the Fund (in
thousands):
 
<TABLE>
<CAPTION>
                                        Six months ended June 30, 1995
                    --------------------------------------------------------------------
                      Money                                                             
                     Market       Total Return         High Yield           Equity      
                    Portfolio       Portfolio          Portfolio          Portfolio     
                    ---------   -----------------   ----------------   ---------------- 
                       (a)      Shares    Amount    Shares   Amount    Shares   Amount  
                    ---------   ------   --------   ------   -------   ------   ------- 
<S>                <C>         <C>      <C>        <C>      <C>       <C>      <C>      
Shares sold......   $  52,643   22,021   $ 48,283   48,951   $54,432   19,110   $52,474 
Shares issued in                                                                        
  reinvestment of                                                                       
  dividends......       2,256    8,512     18,740   19,366    22,165    9,679    25,769 
                    ---------   ------   --------   ------   -------   ------   ------- 
                       54,899   30,533     67,023   68,317    76,597   28,789    78,243 
Less shares                                                                             
  redeemed.......      74,007   38,768     84,525   39,294    44,131   24,641    66,760 
                    ---------   ------   --------   ------   -------   ------   ------- 
Net (decrease)                                                                          
  increase from                                                                         
  capital share                                                                         
  transactions...   $ (19,108)  (8,235)  $(17,502)  29,023   $32,466    4,148   $11,483 
                    =========   ======   ========   ======   =======   ======   ======= 

</TABLE>

<TABLE>
<CAPTION>
                                  Six months ended June 30, 1995
                    -------------------------------------------------------
                      Government                              Small           
                      Securities       International      Capitalization      
                       Portfolio          Portfolio       Equity Portfolio     
                    ----------------   ----------------   ----------------     
                    Shares   Amount    Shares   Amount    Shares   Amount      
                    ------   -------   ------   -------   ------   -------     
<S>                <C>      <C>       <C>      <C>       <C>      <C>          
Shares sold......   24,100   $21,955   16,475   $21,455    9,229   $ 9,965     
Shares issued in                                                                        
  reinvestment of                                                             
dividends........    5,447     6,202    3,339     2,911       70        76     
                    ------   -------   ------   -------   ------   -------     
                    29,547    28,157   19,814    24,366    9,299    10,041     
                                                             
Less shares
 redeemed........   33,556    32,299   17,969    22,035    4,381     4,692     
                    ------   -------   ------   -------   ------   -------     

Net (decrease)                                                                          
  increase from                                                                         
  capital share                                                                         
  transactions...   (4,009)  $(4,142)   1,845   $ 2,331    4,918   $ 5,349     
                    ======   =======   ======   =======    =====   =======     
</TABLE>                                                                      
 
<TABLE>
<CAPTION>
                                         Year ended December 31, 1994
                       ---------------------------------------------------------------------
                        Money                                                               
                        Market      Total Return         High Yield            Equity       
                       Portfolio      Portfolio           Portfolio           Portfolio     
                       ---------  -----------------  -------------------  ----------------- 
                          (a)     Shares   Amount     Shares    Amount    Shares    Amount  
                       ---------  ------  ---------  --------  ---------  ------   ---------
<S>                 <C>        <C>        <C>        <C>       <C>        <C>      <C>          
Shares sold......   $ 218,865     55,759  $ 127,333   105,586  $ 122,106   63,325  $ 173,691
Shares issued in                                                                            
  reinvestment                                                                              
of dividends.....       3,923     27,538     58,659    16,697     19,251    5,689     14,929
                    ---------     ------  ---------  --------  ---------   ------  ---------
                      222,788     83,297    185,992   122,283    141,357   69,014    188,620
Less shares                                                                                 
  redeemed.......     207,144    54,564     122,637   111,925    130,274   45,216    125,080
                    ---------    ------   ---------  --------  ---------   ------  ---------
Net increase                                                                                
  (decrease)                                                                                
  from capital                                                                              
  share                                                                                     
  transactions...   $  15,644    28,733   $  63,355    10,358  $  11,083   23,798  $  63,540
                     ========    ======    ========   =======   ========   ======   ========
</TABLE>                                                                      

<TABLE>
<CAPTION>

                                     Year ended December 31, 1994
                      -----------------------------------------------------
                                                               Small           
                         Government                         Capitalization   
                         Securities        International        Equity       
                          Portfolio          Portfolio       Portfolio(b)    
                      -----------------  -----------------  ---------------  
                      Shares    Amount   Shares   Amount    Shares  Amount  
                     -------  --------  ------  ---------  ------  ------- 
<S>                 <C>       <C>       <C>      <C>       <C>     <C>      
Shares sold......   18,859    $ 17,396   78,847   $ 99,933  16,090  $16,218 
Shares issued in                                                                            
  reinvestment                                                                              
  of dividends.....  7,004       7,968      952      1,170      --       -- 
                   -------    --------   ------   --------  ------  ------- 
                    25,863      25,364   79,799    101,103  16,090   16,218 
                                                        
Less shares
  redeemed.......   38,208      37,653   49,218     61,575   3,671    3,680 
                   -------    --------   ------   --------  ------  ------- 
Net increase                                                                                
  (decrease)                                                                                
  from capital                                                                              
  share                                                                                     
  transactions...  (12,345)   $(12,289)  30,581   $ 39,528  12,419  $12,538                                                       
                   =======    ========   ======    =======  ======  =======                                                      
</TABLE>

(a) For the Money Market Portfolio, dollar amounts and number of shares are the
    same.

(b) For the period from May 2, 1994 (commencement of operations) to December 31,
    1994.
 
                                       21
<PAGE>   10
 
NOTES TO FINANCIAL STATEMENTS--(CONTINUED)
 
(6) FINANCIAL FUTURES CONTRACTS
 
In order to protect itself against future changes in market conditions which
otherwise might affect adversely the value of securities the Government
Securities Portfolio holds, the Portfolio has entered into exchange traded
financial futures contracts as described below. The Portfolio bears the market
risk that arises from changes in the value of these financial instruments.
 
At the time the Portfolio enters into a futures contract, it is required to make
a margin deposit with its custodian of a specified amount of cash or eligible
securities. Subsequently, gain or loss is recognized and payments are made on a
daily basis between the Portfolio and the broker as the market price of the
futures contract fluctuates. At June 30, 1995, the market value of investments
pledged by the Portfolio to cover margin requirements for open futures positions
was $354,000. At June 30, 1995, the Portfolio had outstanding financial futures
contracts as follows:
 
<TABLE>
<CAPTION>
                           Face                        Expiration       Loss at
        Type              Amount        Position         Month          6/30/95
- -------------------------------------------------------------------------------
<S>                     <C>             <C>          <C>                <C>
U.S. Treasury Bonds     $14,700,000       Long       September 1995     $58,000
- -------------------------------------------------------------------------------
</TABLE>
 
(7) FORWARD FOREIGN CURRENCY CONTRACTS
 
In order to protect itself against a decline in the value of particular foreign
currencies against the U.S. Dollar, the International Portfolio has entered into
forward contracts to deliver foreign currency in exchange for U.S. Dollars as
described below. The Portfolio bears the market risk that arises from changes in
foreign exchange rates, and accordingly, the unrealized loss on these contracts
is reflected in the accompanying financial statements. The Portfolio also bears
the credit risk if the counterparty fails to perform under the contract. At June
30, 1995, the Portfolio had outstanding forward foreign currency contracts as
follows:
 
<TABLE>
<CAPTION>
                                           Contract                         Unrealized
          Foreign Currency                amount in                            Loss
          to be delivered                U.S. Dollars      Settlement       at 6/30/95
           (in thousands)               (in thousands)        Date        (in thousands)
- ----------------------------------------------------------------------------------------
<S>                                     <C>                <C>            <C>
    7,367 French Francs                    $  1,455         July 1995          $ 64
- ----------------------------------------------------------------------------------------
1,026,000 Japanese Yen                       12,000         July 1995            85
- ----------------------------------------------------------------------------------------
    6,752 Netherland Guilders                 4,200         July 1995           158
- ----------------------------------------------------------------------------------------
    2,472 Swiss Francs                        2,070         July 1995            78
- ----------------------------------------------------------------------------------------
           Net unrealized loss                                                 $385
========================================================================================
</TABLE>
 
                                       22
<PAGE>   11
FINANCIAL HIGHLIGHTS
 
MONEY MARKET PORTFOLIO
 
<TABLE>
<CAPTION>                                       
                                                                       Six months
                                                                         ended                 Year ended December 31,
                                                                     June 30, 1995      1994       1993       1992       1991
                                                                     -------------     ------     ------     ------     ------
<S>                                                                  <C>               <C>        <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period...............................       $1.00          1.00       1.00       1.00       1.00
Net investment income and dividends declared.......................         .03           .04        .03        .03        .06
                                                                        -------        ------     ------     ------     ------
Net asset value, end of period.....................................       $1.00          1.00       1.00       1.00       1.00
                                                                        =======        ======     ======     ======     ======
TOTAL RETURN (%)...................................................        2.82          3.96       2.83       3.43       5.89

RATIOS TO AVERAGE NET ASSETS (%):
Expenses...........................................................         .53           .53        .56        .57        .56

Net investment income..............................................        5.63          3.95       2.79       3.38       5.80

SUPPLEMENTAL DATA:
Net assets at end of period (in thousands).........................     $64,713        83,821     68,177     75,270     76,479
</TABLE>
 
NOTE TO MONEY MARKET PORTFOLIO:
 
The total return for 1994 includes the effect of a capital contribution from the
investment manager. Without the capital contribution, the total return would
have been 3.47%.
 
TOTAL RETURN PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                 Six months
                                                                    ended                 Year ended December 31,
                                                                June 30, 1995      1994        1993        1992        1991
                                                                -------------     -------     -------     -------     -------
<S>                                                             <C>               <C>         <C>         <C>         <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period..........................       $2.112         2.586       2.473       2.658       2.071
Income from investment operations:
  Net investment income.......................................         .044          .069        .069        .061        .080
  Net realized and unrealized gain (loss) on investments......         .271         (.313)       .214       (.026)       .677
                                                                  ---------       -------     -------     -------     -------

Total from investment operations..............................         .315         (.244)       .283        .035        .757
Less dividends:
  Distribution from net investment income.....................         .070          .060        .050        .080        .110
  Distribution from net realized gain on investments..........           --          .168        .120        .140        .060
  Distribution in excess of net realized gain on
    investments...............................................           --          .002          --          --          --
                                                                  ---------       -------     -------     -------     -------
Total dividends...............................................         .070          .230        .170        .220        .170
                                                                  ---------       -------     -------     -------     -------
Net asset value, end of period................................       $2.357         2.112       2.586       2.473       2.658
                                                                  =========       =======     =======     =======     =======
 
TOTAL RETURN (%)..............................................        15.11         (9.50)      12.13        1.69       37.90

RATIOS TO AVERAGE NET ASSETS (%):
Expenses......................................................          .60           .61         .59         .60         .61
Net investment income.........................................         3.87          3.13        3.19        3.41        3.46

SUPPLEMENTAL DATA:
Net assets at end of period (in thousands)....................    $ 634,986       586,594     643,830     528,007     412,772
Portfolio turnover rate (%)...................................          164           128         191         160         187
</TABLE>
 
                                       23
<PAGE>   12
 
FINANCIAL HIGHLIGHTS--(CONTINUED)
 
HIGH YIELD PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                     Six months
                                                                        ended                Year ended December 31,
                                                                    June 30, 1995     1994       1993       1992       1991
                                                                    -------------    -------    -------    -------    -------
<S>                                                                 <C>              <C>        <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period.............................        $1.185        1.338      1.209      1.144       .914
Income from investment operations:
  Net investment income..........................................          .066         .116       .120       .125       .140
  Net realized and unrealized gain (loss) on investments.........          .049        (.149)      .109       .070       .300
                                                                    -----------      -------    -------    -------    -------
Total from investment operations.................................          .115        (.033)      .229       .195       .440
Less distributions from net investment income....................          .120         .120       .100       .130       .210
                                                                    -----------      -------    -------    -------    -------
Net asset value, end of period...................................        $1.180        1.185      1.338      1.209      1.144
                                                                    ===========      =======    =======    =======    =======
 
TOTAL RETURN (%).................................................         10.02        (2.25)     20.00      17.76      51.83

RATIOS TO AVERAGE NET ASSETS (%):
Expenses.........................................................           .64          .65        .63        .64        .67
Net investment income............................................         10.86         9.49       9.54      10.44      12.95

SUPPLEMENTAL DATA:
Net assets at end of period (in thousands).......................     $ 252,737      219,415    233,964    162,158    121,608
Portfolio turnover rate (%)......................................            90           98         84         57         31
</TABLE>
 
EQUITY PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                     Six months
                                                                        ended                Year ended December 31,
                                                                    June 30, 1995     1994       1993       1992       1991
                                                                    -------------    -------    -------    -------    -------
<S>                                                                 <C>              <C>        <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period.............................        $2.665        2.935      2.631      2.642      1.681
Income from investment operations:
  Net investment income..........................................          .015         .018       .004       .007       .017
  Net realized and unrealized gain (loss) on investments.........          .421        (.138)      .370       .082       .974
                                                                    -----------      -------    -------    -------    -------
Total from investment operations.................................          .436        (.120)      .374       .089       .991
Less dividends:
  Distribution from net investment income........................          .010           --       .010       .005       .030
  Distribution from net realized gain on investments.............          .220         .150       .060       .095         --
                                                                    -----------      -------    -------    -------    -------
Total dividends..................................................          .230         .150       .070       .100       .030
                                                                    -----------      -------    -------    -------    -------
Net asset value, end of period...................................        $2.871        2.665      2.935      2.631      2.642
                                                                    ===========      =======    =======    =======    =======
 
TOTAL RETURN (%).................................................         17.03        (4.02)     14.63       3.57      59.47

RATIOS TO AVERAGE NET ASSETS (%):
Expenses.........................................................           .63          .66        .64        .64        .67
Net investment income............................................          1.11          .69        .30        .65        .83

SUPPLEMENTAL DATA:
Net assets at end of period (in thousands).......................     $ 358,478      321,708    284,461    203,624    118,983
Portfolio turnover rate (%)......................................            72          106         78         78        106
</TABLE>
 
                                       24
<PAGE>   13
FINANCIAL HIGHLIGHTS--(CONTINUED)
 
GOVERNMENT SECURITIES PORTFOLIO
 
<TABLE>
<CAPTION>
                                             Six months
                                                ended                               Year ended December 31,
                                            June 30, 1995         1994              1993              1992              1991
                                            -------------     -------------     -------------        ------            ------
<S>                                         <C>               <C>               <C>               <C>               <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period....        $1.142                1.267             1.277             1.287             1.175
Income from investment operations:
  Net investment income.................          .044                 .067              .060              .064              .090
  Net realized and unrealized gain
    (loss) on investments...............          .086                (.102)             .020              .006              .082
                                                ------               ------             -----             -----             -----
Total from investment operations........          .130                (.035)             .080              .070              .172
Less dividends:
  Distribution from net investment
    income..............................          .080                 .060              .060              .050              .060
  Distribution from net realized gain on
    investments.........................            --                 .024              .030              .030                --
  Distribution in excess of net realized
    gain on investments.................            --                 .006                --                --                --
                                                ------               ------             -----             -----             -----
Total dividends.........................          .080                 .090              .090              .080              .060
                                                ------               ------             -----             -----             -----
Net asset value, end of period..........        $1.192                1.142             1.267             1.277             1.287
                                                ======               ======             =====             =====             =====
TOTAL RETURN (%)........................         11.71                (2.74)             6.48              5.90             15.22

RATIOS TO AVERAGE NET ASSETS (%):
Expenses................................           .61                  .63               .60               .61               .63
Net investment income...................          7.47                 5.69              5.05              6.08              7.42

SUPPLEMENTAL DATA:
Net assets at end of period (in
  thousands)............................       $95,195               95,782           121,912            98,814            59,064
Portfolio turnover rate (%).............           404                  606               534               492               141
</TABLE>
 
INTERNATIONAL PORTFOLIO
<TABLE>
<CAPTION>
                                                                                                          January 6,
                                                                   Six months          Year ended          1992 to
                                                                      ended           December 31,       December 31,
                                                                  June 30, 1995      1994       1993         1992
                                                                  -------------    --------    ------    ------------
<S>                                                               <C>              <C>         <C>       <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period...........................        $1.244         1.306      .993        1.000
Income from investment operations:
  Net investment income........................................          .012          .009      .010         .010
  Net realized and unrealized gain (loss)
    on investments.............................................          .037         (.056)     .313        (.017)
                                                                       ------         -----     -----        -----
Total from investment operations...............................          .049         (.047)     .323        (.007)
Less dividends:
  Distribution from net investment income......................          .010            --      .009           --
  Distribution from net realized gain on investments...........          .020          .015      .001           --
                                                                       ------         -----     -----        -----
Total dividends................................................          .030          .015      .010           --
                                                                       ------         -----     -----        -----
Net asset value, end of period.................................        $1.263         1.244     1.306         .993    
                                                                       ======         =====     =====        =====    
TOTAL RETURN (%)...............................................          3.98         (3.59)    32.83         (.72)


RATIOS TO AVERAGE NET ASSETS (%):
Expenses.......................................................           .86           .93       .92          1.11
Net investment income..........................................          1.96           .74       .86          1.01

SUPPLEMENTAL DATA:
Net assets at end of period (in thousands).....................     $ 126,887       122,710    88,880       19,447
Portfolio turnover rate (%)....................................           115           107       116          129
 
</TABLE>
 
                                       25
<PAGE>   14
 
FINANCIAL HIGHLIGHTS--(CONTINUED)
 
SMALL CAPITALIZATION EQUITY PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                  Six months          May 2, 1994
                                                                     ended                to
                                                                 June 30, 1995     December 31, 1994
                                                                 -------------     -----------------
<S>                                                              <C>               <C>                
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period..........................       $1.039               1.000
Income from investment operations:
  Net investment income.......................................         .003                .008
  Net realized and unrealized gain on investments.............         .157                .031
                                                                     ------               -----
Total from investment operations..............................         .160                .039
Less distributions from net investment income.................         .005                  --
                                                                     ------               -----
Net asset value, end of period................................       $1.194               1.039
                                                                     ======               =====
TOTAL RETURN (%)..............................................        15.39                3.95

RATIOS TO AVERAGE NET ASSETS (%):
Expenses......................................................          .81                1.25
Net investment income.........................................          .59                 .91

SUPPLEMENTAL DATA:
Net assets at end of period (in thousands)....................      $20,700              12,909
Portfolio turnover rate (%)...................................           76                  58
</TABLE>
 
- ---------------
NOTE: Ratios for all Portfolios have been determined on an annualized basis.
Total return is not annualized.
 
                                       26
<PAGE>   15
KEMPER INVESTORS FUND
MONEY MARKET PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>                                                    
                                                    Value     
                                                   -------    
<S>                                               <C>        
CORPORATE OBLIGATIONS                                        
                                                              
CAPTIVE BUSINESS FINANCE--18.5%                              
(a)American Honda Finance Corporation 
     6.19%, 8/9/95...............................  $ 1,999    
   Caterpillar Financial Services Corporation                 
     6.06%, 8/11/95..............................    1,986    
   CSW Credit, Inc.                                           
     6.01%, 8/3/95...............................    1,989    
(a)Finova Capital Corporation                              
     6.16%, 9/15/95..............................    2,000    
   Freedom Asset Funding Corporation                          
     5.96%, 7/14/95..............................    1,996    
   Phillip Morris Capital Corporation                         
     5.99%, 7/31/95..............................    1,990    
                                                   -------    
                                                    11,960    
CONSUMER FINANCE AND BANKING--6.2%                           
(a)Beneficial Corporation                                  
     6.04%, 7/12/95..............................    2,000    
   Chrysler Financial Corporation                             
     6.04%, 8/30/95..............................    1,980    
                                                   -------    
                                                     3,980    
CONSUMER PRODUCTS AND SERVICES--12.3%                        
   American Home Products Corporation                         
     6.03%, 8/10/95..............................    1,987    
   Coca-Cola Enterprises Inc.                                 
     5.99%, 7/10/95..............................    1,997    
   Dayton Hudson Corporation                                  
     6.03%, 7/21/95..............................    1,993    
   Whirlpool Corporation                                      
     6.14%, 7/19/95..............................    1,994    
                                                   -------    
                                                     7,971    
CORPORATE FINANCING--9.2%                                    
(a)Beta Finance Corporation                                
     5.57%, 7/5/95...............................    2,000    
   GTE Finance Corporation                                    
     6.05%, 8/14/95..............................    1,985    
   Windmill Funding Corporation                               
     6.01%, 8/1/95...............................    1,990    
                                                   -------    
                                                     5,975    
ENERGY--3.1%                                                 
   AES Shady Point, Inc.                                      
     5.97%, 7/21/95..............................    1,993    
FINANCIAL SERVICES--12.4%                                    
(a)Bear Stearns Companies Inc.                             
     6.13%, 7/21/95..............................    2,000    
(a)CS First Boston, Inc.                                   
     6.16%, 7/12/95..............................    2,000    
                                                              
 <CAPTION>                                                    
                                                    Value     
                                                   -------    
 <S>                                               <C>        
   Dean Witter, Discover & Company                            
     6.01%, 8/11/95..............................  $ 1,987    
(a)Salomon Inc.                                            
     6.41%, 7/3/95...............................    2,000    
                                                   -------    
                                                     7,987    
MANUFACTURING AND INDUSTRIAL PRODUCTS--10.0%                 
   Bridgestone/Firestone, Inc.                                
     5.99%, 7/21/95..............................    1,993    
   Cooper Industries, Inc.                                    
     5.96%, 7/7/95...............................    2,498    
   DIC Americas, Inc.                                         
     6.01%, 7/12/95..............................    1,996    
                                                   -------    
                                                     6,487    
(b)MUNICIPAL OBLIGATION--4.6%                                
(a)Orange County, California                               
     6.06%, 7/10/95 (maturity), $3,000,000                    
     (par).......................................    2,190    
   Letter of credit from The Bank of New York....      810    
                                                   -------    
                                                     3,000    
RECEIVABLES FINANCING--19.9%                                 
   First Brands Commercial, Inc.                              
     6.00%, 9/25/95..............................    1,972    
   Heller Financial, Inc.                                     
     6.04%, 9/27/95..............................    1,971    
(a)Sanwa Business Credit Corporation                       
     6.03%, 7/6/95...............................    3,000    
   SFC (USA) Inc.                                             
     6.04%, 8/31/95..............................    1,980    
   Strait Capital Corporation                                 
     6.05%, 8/31/95..............................    1,980    
   Working Capital Management Co. L.P.                        
     6.01%, 7/28/95..............................    1,991    
                                                   -------    
                                                    12,894    
                                                   -------    
TOTAL CORPORATE OBLIGATIONS--96.2%                           
 (average maturity: 30 days).....................   62,247    

FOREIGN GOVERNMENT OBLIGATION--3.1%                          

(a)Kingdom of Sweden                                       
     6.06%, 7/11/95..............................    1,999    
     (maturity: 10 days)                            ------          

TOTAL INVESTMENTS--99.3%                                     
 (average maturity: 30 days).....................   64,246    
                                                              
CASH AND OTHER ASSETS,                                       
LESS LIABILITIES--.7%............................      467    
                                                   -------    
NET ASSETS--100%.................................  $64,713    
                                                   =======    
 </TABLE>                                                     
 
See accompanying notes to portfolio of investments.
 
                                       27
<PAGE>   16
 
NOTES TO MONEY MARKET PORTFOLIO OF INVESTMENTS
 
Interest rates represent annualized yield to date of maturity, except for
variable rate securities described in Note (a). For each security, cost (for
financial reporting and federal income tax purposes) and carrying value are the
same. Likewise, carrying value approximates principal amount.
 
(a) Variable rate securities. The rates shown are the current rates at June 30,
    1995. The dates shown represent the demand date or next interest rate change
    date.
 
(b) Illiquid security. See Note (3) of the Notes to Financial Statements.
 
See accompanying notes to financial statements.
 
                                       28
<PAGE>   17
KEMPER INVESTORS FUND
TOTAL RETURN PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                        Principal
                                         Amount      Value
                                       ----------   --------
 <S>                                   <C>          <C>
U.S. GOVERNMENT OBLIGATIONS
   U.S. Treasury Notes
     7.875%, 1998....................  $    4,000   $  4,188
     7.75%, 2000.....................      10,000     10,689
     7.875%, 2001....................       7,000      7,642
     7.75%, 2001.....................       9,000      9,734
     6.25%, 2003.....................       8,500      8,529
     7.25%, 2004.....................      33,000     35,270
   U.S. Treasury Bonds
     7.25%, 2016.....................      19,000     20,178
     8.75%, 2017.....................      32,000     39,400
                                                    --------
TOTAL U.S. GOVERNMENT
OBLIGATIONS--21.4%
   (Cost: $131,126)..................                135,630
 
(B)FOREIGN GOVERNMENT OBLIGATIONS
   Government of Canada
     8.00%, 1998.....................         800        596
     6.50%, 2004.....................       1,150        761
   Kingdom of Denmark
     6.00%, 1999.....................       6,000      1,038
     9.00%, 2000.....................       7,000      1,345
     8.00%, 2003.....................       2,000        360
   Dutch State Loan
     7.75%, 2000.....................       1,000        684
     6.50%, 2003.....................       2,000      1,262
   Republic of Finland,
     11.00%, 1999....................      12,000      3,063
   French Treasury
     8.50%, 2000.....................       5,250      1,138
     9.50%, 2001.....................       5,500      1,249
     6.75%, 2003.....................       7,000      1,376
   Government of Ireland
     6.25%, 1999.....................         540        818
     6.25%, 2004.....................         600        824
   New Zealand Government
     8.00%, 1998.....................         500        334
     6.50%, 2000.....................       2,900      1,841
     8.00%, 2004.....................       1,000        685
   Republic of Portugal,
     11.875%, 2000...................     220,000      1,519
                                                    --------
TOTAL FOREIGN GOVERNMENT
OBLIGATIONS--3.0%
   (Cost: $17,667)...................                 18,893
 
<CAPTION>
                                          Number
                                        of Shares     Value
                                        ----------   --------
<S>                                   <C>          <C>
COMMON STOCKS
CHEMICALS--1.1%
   Air Products & Chemicals..........      60,000   $  3,345
   Monsanto Co. .....................      37,000      3,335
                                                    --------
                                                       6,680
 
COMMUNICATIONS AND MEDIA--3.4%
                                                              
(b)AirTouch Communications...........      60,000      1,710   
   AT&T..............................     130,500      6,933   
(a)DSC Communications Corp. .........      83,300      3,873   
(a)Gillett Holdings, Inc. ...........      33,652        698   
   Singapore Press Holdings, Ltd. ...      10,400        156   
(a)Tele-Communications, Inc. ........     140,000      3,281   
(a)Tellabs Operations................      48,000      2,310   
(a)Viacom International                                     
   "A" Shares........................      12,456        579   
   "B" Shares........................      50,377      2,336   
                                                    --------   
                                                      21,876   
COMPUTER SOFTWARE AND                                         
ELECTRONICS--11.3%                                          
   AMP, Inc. ........................      50,000      2,113   
(a)Applied Materials, Inc. ..........      30,300      2,625   
(a)Atmel Corporation.................      41,400      2,293   
(a)Cisco Systems.....................     105,000      5,309   
(a)Compaq Computer Corp. ............      40,000      1,815   
   Computer Associates                                         
     International...................     100,000      6,775   
   First Data Corporation............      70,800      4,027   
   First Financial Management                                  
     Corporation.....................      31,000      2,651   
   General Motors Corp., "E".........     100,100      4,354   
   Hewlett-Packard, Co. .............     100,000      7,450   
   Intel Corp. ......................     150,600      9,535   
(a)Microsoft Corp. ..................     100,000      9,037   
(a)Oracle Systems Corp. .............     155,000      5,987   
(a)Silicon Graphics Inc. ............     117,300      4,677   
(a)Sun Microsystems..................      65,000      3,152   
                                                    --------   
                                                      71,800   
CONSUMER PRODUCTS AND                                         
SERVICES--10.7%                                             
   Aalberts Industries, N.V. ........       8,559        482   
   Coca-Cola Co. ....................     180,000     11,475   
   ConAgra Inc. .....................      50,000      1,744   
   CPC International.................      60,000      3,705   
   Duracell International Inc. ......      40,000      1,730   
</TABLE>                                                      
 
                                       29
<PAGE>   18
 
KEMPER INVESTORS FUND
TOTAL RETURN PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>                               Number                
                                       of Shares     Value     
                                       ----------   --------   
 <S>                                   <C>          <C>        
   Gillette Co. .....................     120,000   $  5,355   
   Greencore Group PLC...............      55,000        414   
   Manpower Inc. ....................      25,200        643   
   Newell Co. .......................      95,200      2,332   
   PepsiCo...........................     195,000      8,897   
   Philip Morris Companies...........     172,800     12,852   
   Procter & Gamble Co. .............     134,200      9,646   
   Rubbermaid........................      70,000      1,942   
   Sara Lee Corp. ...................     150,000      4,275   
   Shaw Industries...................     148,200      2,519   
                                                    --------   
                                                      68,011   
DRUGS AND HEALTH CARE--8.4%                                   
   Abbott Laboratories...............     116,600      4,722   
   Columbia/HCA Healthcare Corp......     100,400      4,342   
(b)Forest Laboratories...............      96,000      4,260   
   Johnson & Johnson.................     100,000      6,762   
   Eli Lilly & Co....................      80,000      6,280   
   Merck & Co., Inc..................     165,200      8,095   
   Pfizer............................      90,000      8,314   
   SmithKline Beecham, PLC...........     140,000      6,335   
   United Healthcare Corp............      65,000      2,689   
(b)U.S. Bioscience with warrants                            
     expiring 1998...................       4,703         37   
   U.S. Healthcare...................      51,300      1,571   
                                                    --------   
                                                      53,407   
ELECTRICAL EQUIPMENT--2.2%                                    
   Emerson Electric Co...............      58,900      4,211   
   General Electric Co...............     138,600      7,814   
   York International Corp...........      54,200      2,439   
                                                    --------   
                                                      14,464   
ENERGY AND RELATED SERVICES--2.4%                             
   Enron Corp........................     152,200      5,346   
   Mobil Corp........................      65,000      6,240   
   Noble Affiliates..................     100,000      2,550   
   Union Texas Petroleum Holdings....      60,000      1,267   
                                                    --------   
                                                      15,403   
ENTERTAINMENT AND RESTAURANTS--2.9%                           
   Harrah's Entertainment............     135,000      3,797   
   La Quinta Motor Inns..............      55,000      1,485   
   McDonald's Corp...................     150,000      5,869   
(b)Promus Companies..................      67,500      1,485   
   Tabcorp Holdings Ltd..............     100,360        208   
                                                               
 <CAPTION>                                                     
                                         Number                
                                       of Shares     Value     
                                       ----------   --------   
 <S>                                   <C>          <C>        
   Walt Disney Company...............     100,000   $  5,563   
                                                    --------   
                                                      18,407   
FINANCIAL SERVICES AND REAL                                   
ESTATE--6.3%                                                
(a)Allied Irish Banks PLC............      24,400        115   
   American General Corp.............      50,000      1,688   
   American International Group,                               
     Inc.............................      60,000      6,840   
   Banc One Corporation..............     120,000      3,870   
   Boatmen's Bancshares..............     120,100      4,234   
   CITIC Pacific Ltd.................      98,000        246   
   Federal National Mortgage                                   
     Association.....................      40,000      3,775   
   First USA.........................      45,100      2,001   
   General Re Corp...................      25,000      3,347   
(b)Goldlion Holdings Ltd.,                                  
     warrants expiring 1995 and                                
     1996............................     325,000          1   
   MBNA Corporation..................     111,500      3,763   
   MGIC Investment Corp..............      68,600      3,216   
   NationsBank.......................      50,000      2,681   
   Providian Corp....................      75,000      2,719   
   Road Builder......................      27,000         90   
   Sanyo Shinpan Finance Co., Ltd....       4,100        299   
   Sumitomo Corp.....................      32,000        291   
(b)Wai Kee Holdings Ltd., warrants                          
     expiring 1996...................     192,000          3   
                                                    --------   
                                                      39,179   
MANUFACTURING--2.2%                                           
   Alco Standard Corporation.........      35,000      2,796   
   Allied-Signal.....................      29,000      1,291   
   Boeing Co.........................      60,000      3,757   
   Georgia-Pacific Corp..............      40,000      3,470   
   Xerox Corporation.................      22,500      2,638   
                                                    --------   
                                                      13,952   
RETAILING AND DISTRIBUTION--3.2%                              
(b)CUC International.................      60,300      2,533   
   Federated Department Stores.......      75,000      1,931   
   Hagemeyer N.V.....................       4,391        196   
   Home Depot........................     163,703      6,650   
   May Department Stores Co..........      75,000      3,122   
(b)Thrifty Payless Holdings..........      47,500        154   
   Wal-Mart Stores...................     211,600      5,660   
                                                    --------   
                                                      20,246   
 </TABLE>                                                      
 
                                       30
<PAGE>   19
KEMPER INVESTORS FUND
TOTAL RETURN PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>                               Number                 
                                       of Shares                
                                      or Principal             
                                         Amount      Value      
                                       ----------   --------    
 <S>                                   <C>          <C>         
TRANSPORTATION--.5%                                            
   Koninklijke Van Ommeren...........          20   $      1    
   Union Pacific Corp................      40,000      2,215    
(b)Wisconsin Central                                         
     Transportation Corp.............      19,700        965    
                                                    --------    
                                                       3,181    
                                                    --------    
TOTAL COMMON STOCKS--54.6%                                     
   (Cost: $288,745)..................                346,606    

CORPORATE OBLIGATIONS                                          

BROADCASTING, CABLESYSTEMS AND                                 
PUBLISHING--1.9%                                             
   CF Cable TV Inc., 11.625%, 2005...  $      510        541    
   Century Communications Corp.,                                
     9.50%, 2005.....................       1,500      1,489    
   Comcast Corporation,                                         
     10.625%, 2012...................       1,500      1,605    
   Continental Cablevision, Inc.,                               
     9.50%, 2013.....................       2,000      2,060    
   Rogers Cablesystems Limited,                                 
     10.00%, 2005....................       1,050      1,079    
   Time Warner Entertainment Company,                           
     L.P., 8.375%, 2033..............       1,000        979    
   Time Warner, Inc. 9.15%, 2023.....       1,000      1,036    
   Univision TV, 11.75%, 2001........       1,500      1,613    
   Viacom International Inc., 8.00%,                            
     2006............................       1,500      1,455    
                                                    --------    
                                                      11,857    
COMMUNICATIONS AND MEDIA--1.7%                                 
   Cinemark USA Inc., 12.00%, 2002...         570        613    
   Cox Communications,                                          
     6.875%, 2005....................       2,000      1,972    
   MCI Communications, 7.50%, 2004...       2,000      2,078    
   News American Holdings, 9.25%,                               
     2013............................       2,000      2,239    
   Rogers Cantel 11.125%, 2002.......       1,790      1,857    
   TCI Communications, 8.65%, 2004...       2,000      2,104    
                                                    --------    
                                                      10,863    
CONSUMER PRODUCTS AND SERVICES--.8%                            
   Nabisco, 6.70%, 2002..............       1,000        988    
   Philip Morris Companies, Inc.,                               
     7.25%, 2003.....................       1,000      1,016    
                                                                
 <CAPTION>                                                      
                                       Principal                
                                         Amount      Value      
                                       ----------   --------    
 <S>                                   <C>          <C>         
   RJR Nabisco                                                  
     8.00%, 2000.....................  $    1,000   $  1,048    
     8.75%, 2005.....................       2,000      2,055    
                                                    --------    
                                                       5,107    
DRUGS AND HEALTH CARE--.9%                                     
   American Home Products, 
     7.90%, 2005.....................       2,000      2,140    
   Columbia/HCA Healthcare Corp.,                               
     6.91%, 2005.....................       2,000      1,976    
   National Medical Enterprises                                 
     9.625%, 2002....................         130        137    
     10.125%, 2005...................       1,370      1,449    
                                                    --------    
                                                       5,702    
ENERGY AND RELATED SERVICES--2.0%                              
   Cincinnati Gas and Electric                                  
     Company, 7.20%, 2023............       2,000      1,901    
   Commonwealth Edison Co., 
     8.125%, 2007....................       2,000      2,031    
   Gulf Canada Resources, Ltd.,                                 
     9.25%, 2004.....................       1,500      1,464    
   Philips Electronics N.V., 
     8.375%, 2006....................       2,000      2,204    
   Texas Utilities Company,                                     
     6.75%, 2003.....................       2,000      1,984    
   TransTexas Gas Corporation,                                  
     11.50%, 2002....................       1,500      1,539    
   WRT Energy Corp.                                             
     13.875%, 2002...................         130        129    
   Westinghouse Electric Corp.                                  
     8.875%, 2001....................         750        799    
     8.625%, 2012....................         500        517    
                                                    --------    
                                                      12,568    
ENVIRONMENTAL SERVICES--.2%                                    
   Browning-Ferris Industries,                                  
     7.875%, 2005....................       1,000      1,076    
FINANCIAL SERVICES AND                                         
REAL ESTATE--3.0%                                              
   ABN AMRO Bank, 8.25%, 2009........       2,000      2,134    
   Abbey National First Capital,                                
     8.20%, 2004.....................       2,000      2,170    
   Associates Corp., N.A., 8.25%,                               
     1999............................       2,000      2,130    
   Capital One Bank                                             
     8.125%, 1998....................       1,000      1,035    
     8.125%, 2000....................       1,000      1,048    
 </TABLE>                                                       
 
                                       31
<PAGE>   20
KEMPER INVESTORS FUND
TOTAL RETURN PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>                              Principal               
                                         Amount      Value     
                                       ----------   --------   
 <S>                                   <C>          <C>        
   Comdata Network, Inc.                                       
     12.50%, 1999....................  $    1,480   $  1,613   
     13.25%, 2002....................          20         22   
   Commercial Credit, 7.375%, 2005...       2,000      2,063   
(b)Export-Import Bank Japan,                                
     4.375%, 2003....................      38,000        498   
   First USA Bank, Medium Term Note,                           
     8.10%, 1997.....................       2,000      2,050   
   GMAC, Medium Term Note, 
     8.50%, 2000.....................       2,000      2,154   
(b)IBRD Japan,                                              
     4.75%, 2004.....................      20,000        272   
(b)Japan Development Bank,                                  
     6.50%, 2001.....................      55,000        794   
   Lehman Brothers Holdings, 
     8.375%, 1999....................       1,000      1,042   
                                                    --------   
                                                      19,025   
 MANUFACTURING--1.0%                                           
   Great Dane Holding, 12.75%,                                 
     2001............................         300        296   
   Lockheed Corp., 6.75%, 2003.......       2,000      1,996   
   Nortek Inc., 9.875%, 2004.........          90         81   
   Owens-Illinois, Inc., 11.00%,                               
     2003............................       3,990      4,379   
                                                    --------   
                                                       6,752   
 RETAILING AND DISTRIBUTION--1.0%                              
   Federated Department Stores, Inc.,                          
     convertible, 9.72%, 2004........         100        101   
   Grand Union Company,                                        
     12.00%, 2004....................       1,000        968   
                                                               
 <CAPTION>                                                     
                                       Principal               
                                         Amount      Value     
                                       ----------   --------   
 <S>                                   <C>          <C>        
   May Department Stores Co., 
     7.50%, 2015.....................  $    1,000   $  1,007   
   Pathmark Stores, Inc.,                                      
     11.625%, 2002...................       1,500      1,571   
   Penn Traffic Company                                        
     8.625%, 2003....................       1,000        940   
     10.65%, 2004....................         400        417   
     9.625%, 2005....................         100         94   
   Sears Roebuck & Co., 6.25%,                                 
     2004............................       1,500      1,436   
                                                    --------   
                                                       6,534   
 TRANSPORTATION--1.1%                                          
   Burlington Motor Holdings Inc.,                             
     11.50%, 2003....................       3,200      2,560   
   Delta Airlines, 9.75%, 2021.......       2,000      2,234   
   United Airlines                                             
     11.21%, 2004....................       1,000      1,213   
     3.907%, 2018....................       1,000      1,061   
                                                    --------   
                                                       7,068   
                                                    --------   
 TOTAL CORPORATE OBLIGATIONS--13.6%                            
   (Cost: $83,567)...................                 86,552   
                                                    --------   
 TOTAL INVESTMENTS--92.6%                                      
   (Cost: $521,105)..................                587,681   

 CASH AND OTHER ASSETS, LESS                                   
 LIABILITIES--7.4%...................                 47,305   
                                                    --------   
 NET ASSETS--100%....................               $634,986   
                                                    ========   
 </TABLE>                                                      
 
                                       32
<PAGE>   21
 
NOTES TO TOTAL RETURN PORTFOLIO OF INVESTMENTS
 
(a) Non-income producing security.
 
(b) Principal amount shown is in local currency.
 
Based on the cost of investments of $521,105,000 for federal income tax purposes
at June 30, 1995, the aggregate gross unrealized appreciation was $72,807,000,
the aggregate gross unrealized depreciation was $6,231,000 and the net
unrealized appreciation on investments was $66,576,000.
 
See accompanying notes to financial statements.
 
                                       33
<PAGE>   22
 
KEMPER INVESTORS FUND
HIGH YIELD PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                      Principal
                                       Amount       Value
                                      ---------    --------
<S>                                   <C>          <C>
GOVERNMENT OBLIGATIONS--4.1%
  (Cost: $10,359)
  U.S. Treasury Notes
    8.875%, 1996..................... $  8,500     $  8,659
    7.375%, 1997.....................    1,700        1,756
                                                   --------
                                                     10,415
 
CORPORATE OBLIGATIONS
 
BROADCASTING, CABLESYSTEMS AND
PUBLISHING--17.4%
    Act III Broadcasting, Inc.,
     9.625%, 2003.....................     330          332
    Adelphia Communications
     Corporation, 12.50%, 2002........   1,730        1,721
    Affinity Group, Inc., 11.50%,
     2003.............................   1,460        1,455
(b) Australis Media Ltd.,
     convertible, 14.00%, 2003........   2,220        1,160
(b) Bell Cablemedia PLC, 11.95%,
     2004.............................   2,860        1,902
    Big Flower Press, Inc., 10.75%,
     2003.............................   1,900        1,905
    CF Cable TV Inc., 11.625%, 2005...     740          784
    Cablevision Industries Corporation,
     10.75%, 2002.....................   2,015        2,201
    Cablevision Systems Company
     9.875%, 2013.....................   1,345        1,419
     9.875%, 2023.....................     280          293
    Century Communications Corporation
     9.50%, 2000......................      300         302
     11.875%, 2003....................    1,360       1,442
     9.50%, 2005......................    2,690       2,670
    Comcast Corporation
     9.375%, 2005.....................    1,120       1,126
     9.50%, 2008......................    1,330       1,327
     10.625%, 2012....................    1,850       1,980
    Continental Cablevision, Inc.,
     9.50%, 2013......................    4,270       4,398
    Granite Broadcasting Corp.,
     10.375%, 2005....................    1,420       1,425
(b) International CableTel
     Incorporated, 12.75%, 2005.......    3,670       2,165
    Katz Corporation, 12.75%, 2002....      960       1,037
(b) Neodata Services, 12.00%,
     2003.............................    1,210       1,010
    Rogers Cablesystems Limited
     9.625%, 2002.....................      780         786
     10.00%, 2005.....................      800         822
    Sinclair Broadcasting Group, Inc.,
     10.00%, 2003.....................    1,620       1,616
 
<CAPTION>
                                      Principal
                                       Amount       Value
                                      ---------    --------
<S>                                   <C>          <C>
    Summit Communications Group, Inc.,
     10.50%, 2005..................... $  1,200    $  1,302
    Univision TV, 11.75%, 2001........      370         398
    Viacom International Inc., 8.00%,
     2006.............................    4,880       4,734
    Videotron Groupe, 10.625%, 2005...      500         526
(b) Videotron Holdings PLC, 11.12%,
     2004.............................    1,250         819
    Webcraft Technologies, Inc.,
     9.375%, 2002.....................      640         560
    Young Broadcasting Corporation,
     11.75%, 2004.....................      260         286
                                                   --------
                                                     43,903
BUSINESS SERVICES--4.0%
    Comdata Network, Inc.
     12.50%, 1999.....................    1,250       1,362
     13.25%, 2002.....................    1,000       1,125
    Computervision Corporation
     10.875%, 1997....................    2,100       2,082
     11.375%, 1999....................      720         665
    Corporate Express Inc., 9.125%,
     2004.............................    1,300       1,264
    Merisal, Inc., 12.50%, 2004.......    1,370       1,206
    Monarch Marking Systems, 
     12.50%, 2003.....................    1,160       1,172
    Outdoor Systems, 10.75%, 2003.....    1,250       1,194
                                                   --------
                                                     10,070
CHEMICALS--5.2%
    Agriculture, Mining and Chemicals,
     Inc.,
     10.75%, 2003.....................      640         659
    Arcadian Partners, L.P., 10.75%,
     2005.............................    1,420       1,434
    Atlantis Group, Inc., 11.00%,
     2003.............................    1,135       1,121
    G-I Holdings Inc., zero coupon,
     1998.............................    2,080       1,404
    Huntsman Corporation, 10.625%,
     2001.............................      400         423
    Pioneer Americas Acquisition Corp.,
     13.375%, 2005....................    1,500       1,538
    Polymer Group Inc., 12.75%, 2002..    1,240       1,249
    Rexene Corporation, 11.75%, 2004..    1,650       1,766
    Terra Industry, 10.50%, 2005......      790         806
    UCC Investors Holdings, Inc.
     10.50%, 2002.....................    2,280       2,314
     11.00%, 2003.....................      300         305
                                                   --------
                                                     13,019
COMMUNICATIONS--6.3%
(b) Call-Net Enterprises Inc.,
     13.25%, 2004.....................    1,000         600
(b) Celcaribe S.A., 13.50%, 2004......    1,000         840
(b) Cellular, Inc., 11.75%, 2003......      625         463
    Commnet Cellular, 11.25%, 2005....      500         503
</TABLE>
 
                                       34
<PAGE>   23
KEMPER INVESTORS FUND
HIGH YIELD PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                      Principal
                                       Amount       Value
                                      ---------    --------
<S>                                   <C>          <C>
(b)Echostar Communication,
     12.875%, 2004, with
     warrants expiring 2004........... $  4,575     $  2,511
   Intermedia Communications,
     convertible, 13.50%, 2005........    1,140        1,143
   Paging Network, Inc.
     11.75%, 2002.....................    2,010        2,163
(a)  9.445%, 2002.....................    1,000        1,000
(b)PanAmSat, L.P., 11.375%, 2003......    2,275        1,627
   Rogers Cantel, 11.125%, 2002.......    3,570        3,703
   USA Mobile Communications, Inc. II,
     14.00%, 2004.....................    1,190        1,306
                                                    --------
                                                      15,859
 
CONSTRUCTION MATERIALS--5.4%
   American Standard Inc.
     10.875%, 1999....................    2,315        2,506
     11.375%, 2004....................    1,090        1,188
(b)  10.50%, 2005.....................    1,110          844
     9.25%, 2016......................      840          840
(b)Building Materials Corporation
     of America, 11.75%, 2004.........    3,495        2,071
   Nortek, Inc., 9.875%, 2004.........    1,700        1,522
   Triangle Pacific Corp., 10.50%,
     2003.............................    2,185        2,218
   Waxman Industries, Inc.
     12.25%, 1998.....................      850          816
     13.75%, 1999.....................      884          747
(a)(b)  12.75%, 2004, with warrants
     expiring 2004....................    1,749          777
                                                    --------
                                                      13,529
 
CONSUMER PRODUCTS AND SERVICES--7.3%
   Allied Waste Industry, 12.00%,
     2004.............................      550          575
   Bally's Park Place Funding, Inc.,
     9.25%, 2004......................    2,690        2,528
   Beatrice Foods, Inc., 12.00%,
     2001.............................    2,000        1,820
   Cinemark USA, Inc., 12.00%, 2002...      940        1,011
(b)Dr. Pepper Bottling Holdings,
     Inc., 11.625%, 2003..............    1,120          846
   Empress River Casino, 10.75%,
     2002.............................    1,090        1,090
   Host Marriott Travel Plaza, 9.50%,
     2005.............................    1,500        1,440
   Mid-American Waste Systems Inc.,
     12.25%, 2003.....................    1,100        1,122
   Players International, 10.875%,
     2005.............................      370          364
   Santa Fe Hotel, Inc., 11.00%, 2000,
     with warrants expiring 1996......      850          783
 
<CAPTION>
                                      Principal
                                       Amount       Value
                                      ---------    --------
<S>                                   <C>          <C>
(b)Six Flags Theme Park, 12.25%,
     2005............................. $  1,750     $  1,260
   Trump Taj Mahal, PIK, 11.35%,
     1999.............................    5,553        4,442
   Westpoint Stevens, 9.375%, 2005....    1,200        1,158
                                                    --------
                                                      18,439
 
DRUGS AND HEALTH CARE--4.7%
   Abbey Healthcare Group
     Incorporated, 9.50%, 2002........    1,035        1,066
   Amerisource Distribution Corp.,
     PIK, 11.25%, 2005................      753          847
   Charter Medical Corporation,
     11.25%, 2004.....................    2,570        2,737
   Dade International Inc., 13.00%,
     2005.............................      840          886
   National Medical Enterprises
     9.625%, 2002.....................      500          529
     10.125%, 2005....................    2,350        2,485
   Ornda Healthcorporation
     12.25%, 2002.....................    1,505        1,667
     11.375%, 2004....................    1,560        1,704
                                                    --------
                                                      11,921
 
ENERGY AND RELATED SERVICES--3.4%
   Chesapeake Energy Corp., 
     10.50%, 2002......................     675          665
   Dual Drilling Company,
     9.875%, 2004......................     400          375
   Empire Gas Corporation, 7.00%, 2004,
     with warrants expiring 2004.......     900          717
   Gerrity Oil & Gas, 11.75%, 2004.....   1,010          934
   Global Marine Inc., 12.75%, 1999....     280          310
   Gulf Canada Resources, Ltd., 
     9.25%, 2004.......................   1,800        1,757
   HS Resources, 9.875%, 2003..........     230          223
   TransTexas Gas Corporation, 
     11.50%, 2002......................   2,900        2,976
   WRT Energy Corp.
     13.875%, 2002.....................     600          594
                                                    --------
                                                       8,551
 
FINANCIAL SERVICES, HOME
BUILDING AND REAL ESTATE--2.3%
   Continental Homes Holding, 
     12.00%, 1999......................     970          980
   Forecast Group L.P., 11.375%,
     2000..............................     250          145
</TABLE>
 
                                       35
<PAGE>   24
 
KEMPER INVESTORS FUND
HIGH YIELD PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                      Principal
                                       Amount       Value
                                      ---------    --------
<S>                                   <C>          <C>
(a)Great American Holdings, 
     11.00%, 1998..................... $    675     $    678
   Hovnanian Kent
     11.25%, 2002.....................    1,318        1,153
     9.75%, 2005......................      600          465
   J.M. Peters, 12.75%, 2002,
     with warrants expiring 2004......      460          395
   NVR Inc., 11.00%, 2003.............      970          883
   Oriole Homes Corp., 12.50%, 2003...      140          122
   Presley Companies, 12.50%, 2001....    1,400        1,148
                               .                    --------
                                                       5,969
 
MANUFACTURING, METALS AND
MINING--16.4%
   Aftermarket Technology, 12.00%,
     2004.............................    1,080        1,145
   Algoma Steel, 12.375%, 2005........      630          568
   Amstar Corporation, 11.375%,
     1997.............................    2,744        2,799
   BE Aerospace, 9.75%, 2003..........      880          880
   Bluebird Body Company,
     11.75%, 2002.....................    1,430        1,466
   Day International Group,
     11.25%, 2005.....................      430          432
   Essex Group Incorporated, 10.00%,
     2003.............................      900          864
   Exide Corporation
     10.75%, 2002.....................      580          612
     12.25%, 2005.....................      410          418
   Fairchild Corporation
     12.00%, 2001.....................    2,390        2,043
     13.00%, 2007.....................      339          278
   Fairchild Industries, 12.25%,
     1999.............................    1,490        1,516
   Fairfield Manufacturing Company,
     11.375%, 2001....................      830          784
   Foamex L.P.
     11.25%, 2002.....................      930          921
     11.875%, 2004....................    1,370        1,295
(b)Foamex-JPS Automotive L.P.,
     14.00%, 2004, with warrants
     expiring 1999....................      940          517
   Great Dane Holding, 12.75%, 2001...    2,355        2,320
   GS Technologies, 12.00%, 2004......    1,420        1,392
   Gulf States Steel, convertible,
     13.50%, 2003.....................    1,000          973
   Jordan Industries, 10.375%, 2003...    1,560        1,435
   JPS Automotive Products
     Corporation, 11.125%, 2001.......    1,110        1,088
 
<CAPTION>
                                      Principal
                                       Amount       Value
                                      ---------    --------
<S>                                   <C>          <C>
   K & F Industries, Inc.
     13.75%, 2001..................... $  4,930     $  5,078
     11.875%, 2003....................      420          428
(a)Lehman (K&F) Promissory Note,
     6.125%, 1997.....................      350          326
   Lear Seating Corporation 8.25%,
     2002.............................      250          237
   Newflo Corporation, 13.25%, 2002...    1,050        1,047
   Pace Industries, Inc., 10.625%,
     2002.............................    1,020          966
   Penda Industries Inc., 10.75%,
     2004.............................      650          579
   RHI Holdings, 11.875%, 1999........      790          760
   SPX Corporation, 11.75%, 2002......      380          395
   Sequa Corporation
     9.625%, 1999.....................      250          247
     8.75%, 2001......................      730          681
     9.375%, 2003.....................      270          248
   Thermadyne Industries, Inc., PIK
     10.25%, 2002.....................    1,290        1,277
     10.75%, 2003.....................    1,476        1,446
   Unisys Corporation
     13.50%, 1997.....................    1,160        1,282
     8.875%, 1997.....................      315          315
     10.625%, 1999....................    2,290        2,462
                                                    --------
                                                      41,520
 
PAPER AND FOREST PRODUCTS--6.3%
   Berry Plastics Corporation, 
     12.25%, 2004, with warrants 
     expiring 2004....................      480          493
   Container Corporation of America,
     11.25%, 2004.....................    1,545        1,622
   Gaylord Container Corporation
     11.50%, 2001.....................      695          737
(b)  12.75%, 2005.....................    2,380        2,332
  Maxxam Group, Inc.
(b)  12.25%, 2003.....................      585          348
     11.25%, 2003.....................    1,030          963
   Owens-Illinois, Inc.
     11.00%, 2003.....................      970        1,065
     9.95%, 2004......................    2,540        2,591
     9.75%, 2004......................    2,720        2,761
   Repap New Brunswick Inc.,
     10.625%, 2005....................    1,250        1,258
   Sweetheart Cup Company Inc.,
     10.50%, 2003.....................      900          869
   S. D. Warren Company, 12.00%,
     2004.............................      850          918
                                                    --------
                                                      15,957
</TABLE>
 
                                       36
<PAGE>   25
 
KEMPER INVESTORS FUND
HIGH YIELD PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                         Principal                  
                                          Amount       Value        
                                         ---------    --------      
   <S>                                   <C>          <C>           
   RETAILING--11.2%                                                 
     Color Tile, Inc., 10.75%, 2001..... $  2,470     $  1,210      
     Dominick's Bank Loan, 10.875%,                                 
       2005.............................    1,760        1,784      
     Federated Department Stores, Inc.,                             
       convertible, 9.72%, 2004.........      420          424      
     Finlay Fine Jewelry Corporation,                               
       10.625%, 2003....................      580          560      
     Grand Union Company                                            
(c)  12.25%, 2002.......................    3,990        1,022      
(a)  12.00%, 2004.......................    1,100        1,064      
(b)International Semi-Tech                                     
       Microelectronics Inc., 11.50%,                               
       2003.............................    1,650          825      
     P & C Food Markets, 11.50%, 2001...      910          961      
     Pamida Holdings, 11.75%, 2003......    1,950        1,755      
     Pathmark Stores, Inc.                                          
       12.625%, 2002....................    1,000        1,065      
       11.625%, 2002....................    1,655        1,734      
       9.625%, 2003.....................      720          702      
     Penn Traffic Company                                           
       8.625%, 2003.....................    1,620        1,523      
       9.625%, 2005.....................    1,640        1,542      
     Ralphs Grocery Company                                         
(a)  9.312%, 2002.......................      335          336      
(a)  9.812%, 2003.......................      335          336      
       10.45%, 2004.....................    1,880        1,871      
(a)  10.062%, 2004......................      335          336      
       13.75%, 2005.....................    1,130        1,215      
     Southland Corporation, 5.00%,                                  
       2003.............................    5,709        4,366      
     Specialty Retailers, Inc., 11.00%,                             
       2003.............................      610          567      
     Thrifty Payless Inc.                                           
       11.75%, 2003.....................    2,390        2,521      
       12.25%, 2004.....................      600          618      
                                                      --------      
                                                        28,337      
   TRANSPORTATION--1.1%                                             
     Burlington Motor Holdings Inc.,                                
       11.50%, 2003.....................    1,350        1,080      
                                                                    
   <CAPTION>                                                        
                                         Principal                  
                                          Amount                    
                                         or Number                  
                                         of Shares     Value        
                                         ---------    --------      
   <S>                                   <C>          <C>           
     OMI Corp., 10.25%, 2003............ $  1,625     $  1,357      
(b)Transtar Holdings, L.P.,                                    
       13.375%, 2003....................      631          372      
                                                      --------      
                                                         2,809      
                                                      --------      
   TOTAL CORPORATE                                                  
   OBLIGATIONS--91.0%                                               
     (Cost: $234,274)...................              $229,883      
                                                                    
   PREFERRED AND COMMON STOCKS                                      
     BCP/Essex Holdings.................   23,000 shs.     598     
(c)Computervision Corporation...........  162,160        1,074      
(c)Gaylord Container Corporation,                              
       warrants expiring 1996...........  218,579        2,268      
(c)Gillett Holdings, Inc................   42,066          873      
(c)Specialty Equipment Companies,                              
       Inc..............................   13,000          167      
(c)Thrifty Payless Inc..................   31,540          103      
(c)UGI Inc..............................    4,249            5      
     Walter Industries, Inc.............    7,469          103      
                                                      --------      
   TOTAL PREFERRED AND COMMON                                       
   STOCKS--2.0%                                                     
     (Cost: $4,103).....................                 5,191      
                                                                    
   MONEY MARKET                                                     
   INSTRUMENTS--1.6%                                                
   Yield--6.21%                                                     
   Due--July, 1995                                                  
     (Cost: $3,997)                                                 
     Cooperative Receivables                                        
     Corporation........................ $  4,000        3,997      
                                                      --------      
                                                                    
   TOTAL INVESTMENTS--98.7%                                         
     (Cost: $252,733)...................               249,486      
   CASH AND OTHER ASSETS,                                           
   LESS LIABILITIES--1.3%...............                 3,251      
                                                      --------      
   NET ASSETS--100%.....................              $252,737      
                                                      ========      
</TABLE>
 
See accompanying notes to portfolio of investments.
 
                                       37
<PAGE>   26
 
NOTES TO HIGH YIELD 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 were 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 June 30, 1995. At June 30, 1995, the value of the Portfolio's restricted
    securities was $4,083,000, which represented 1.60% of net assets.
 
<TABLE>
<CAPTION>
                                                                                                Principal
                                                                                                  Amount
                                                                          Dates of              or Number               Unit
                     Security Description                               Acquisition             of Shares               Cost
     <S>                                                           <C>                       <C>                       <C>
     -------------------------------------------------------------------------------------------------------------------------
     Grand Union Company, 12.00%, 2004                             July 1992-January 1995       $1,100,000             $ 81.33
     -------------------------------------------------------------------------------------------------------------------------
     Great American Holdings, 11.00%, 1998                          July 1990-March 1992           675,000               84.15
     -------------------------------------------------------------------------------------------------------------------------
     Lehman (K&F) Promissory Note, 6.125%, 1997                          July 1994                 350,000               90.75
     -------------------------------------------------------------------------------------------------------------------------
     Paging Network, 9.445%, 2002                                        March 1995              1,000,000               99.75
     -------------------------------------------------------------------------------------------------------------------------
     Ralphs Grocery Company, 9.312%-10.062%, 2002-2004                   June 1995               1,005,000              100.00
     -------------------------------------------------------------------------------------------------------------------------
     Waxman Industries, Inc., warrants expiring 2004                     June 1994                  52,274 shs.           2.00
     -------------------------------------------------------------------------------------------------------------------------
</TABLE>
 
(b) Deferred interest obligation; currently zero coupon under terms of the
    initial offering.
 
(c) Non-income producing security. In the case of a bond, generally denotes that
    issuer has defaulted on the payment of interest or has filed for bankruptcy.
 
"PIK" denotes that interest or dividends are paid in kind.
 
Based on the cost of investments of $252,733,000 for federal income tax purposes
at June 30, 1995, the aggregate gross unrealized appreciation was $7,396,000,
the aggregate gross unrealized depreciation was $10,643,000 and the net
unrealized depreciation on investments was $3,247,000.
 
See accompanying notes to financial statements.
 
                                       38
<PAGE>   27
KEMPER INVESTORS FUND
EQUITY PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>                               
                                         Number             
                                       of Shares     Value  
                                       ----------   --------
 <S>                                   <C>          <C>     
COMMON STOCKS                                              
CHEMICALS--4.4%                                            
   Air Products & Chemicals...........    65,000    $  3,624
   B.F. Goodrich Co. .................    29,300       1,571
   E.I. DuPont de Nemours & Co. ......    75,000       5,156
   Monsanto Co. ......................    61,000       5,498
                                                    --------
                                                      15,849
COMMUNICATIONS AND MEDIA--5.5%                             
   A T & T............................    73,400       3,899
   Cox Communications Inc. ...........   155,000       3,003
   Singapore Press Holdings, Ltd......     4,000          60
(a)Tellabs, Inc. .....................   150,400       7,238
(a)3Com Corporation...................    40,000       2,680
(a)Viacom International "B"...........    60,093       2,787
                                                    --------
                                                      19,667
COMPUTER SOFTWARE,                                         
ELECTRONIC DATA                                            
PROCESSING AND                                             
SEMI-CONDUCTORS--15.2%                                     
   Adobe Systems......................    30,000       1,740
(a)Atmel Corporation..................    30,300       1,678
(a)Cisco Systems......................    92,800       4,692
   First Data Corporation.............    48,700       2,770
   First Financial Management                               
     Corporation......................    80,000       6,840
   General Motors Corp., "E"..........    63,000       2,741
   Hewlett-Packard, Co. ..............    70,000       5,215
   Informix Corp. ....................   150,000       3,806
   Intel Corp. .......................   100,000       6,331
   Linear Technology Corp. ...........    50,000       3,300
   Loral Corp. .......................    38,200       1,977
(a)Microsoft Corp.....................    65,000       5,874
   Reynolds & Reynolds Co. ...........    50,000       1,475
(a)Silicon Graphics Inc...............   119,000       4,745
(a)Solectron Corp.....................    43,100       1,471
                                                    --------
                                                      54,655
CONSUMER PRODUCTS AND                                      
SERVICES--16.9%                                            
   Alco Standard Corporation..........    53,000       4,233
   Campbell Soup Co. .................    55,000       2,695
   Coca-Cola Co. .....................   160,000      10,200
   Colgate-Palmolive Co. .............    50,000       3,656
   ConAgra Inc. ......................    69,000       2,406
   CPC International..................    42,000       2,594
(a)CUC International..................    65,800       2,764
(a)Franklin Quest Inc. ...............    63,100       1,514
                                                            
 <CAPTION>                                                  
                                         Number             
                                       of Shares     Value  
                                       ----------   --------
 <S>                                   <C>          <C>     
   Gillette Co. ......................    90,000    $  4,016
   Greencore Group PLC................    15,000         113
   Manpower Inc. .....................   120,000       3,060
   PepsiCo............................    40,000       1,825
   Philip Morris Companies............    93,900       6,984
   Procter & Gamble Co. ..............   103,000       7,403
   Sara Lee Corp. ....................   120,000       3,420
   Service Corp. International........   118,000       3,732
                                                    --------
                                                      60,615
CONSTRUCTION--.6%                                          
   Fluor Corp. .......................    43,000       2,236
   Road Builder.......................     7,000          23
                                                    --------
                                                       2,259
ENERGY AND RELATED                                         
SERVICES--1.8%                                             
   Enron Corp. .......................   134,100       4,710
   Mobil Corp. .......................    18,000       1,728
                                                    --------
                                                       6,438
ENTERTAINMENT AND                                          
RESTAURANTS--3.1%                                          
   Harrah's Entertainment.............    55,550       1,562
   McDonald's Corp. ..................    75,000       2,934
(a)Promus Companies...................    27,775         611
   Tabcorp Holdings Ltd. .............    25,850          54
   Walt Disney Company................   105,000       5,841
                                                    --------
                                                      11,002
                                                            
FINANCIAL SERVICES AND REAL                                
ESTATE--9.3%                                               
   Aalberts Industries N.V............     2,300         130
(a)Allied Irish Banks PLC.............     7,200          34
   American International Group,                            
     Inc..............................    30,000       3,420
   Boatmen's Bancshares...............   113,000       3,983
   CITIC Pacific Ltd..................    26,000          65
   First USA..........................    71,400       3,168
   General Re Corp....................    30,200       4,043
   Hagemeyer N.V......................     1,144          51
   Healthcare COMPARE Corp............    55,000       1,650
   MBNA Corporation...................   180,900       6,105
   Mercantile Bancorp.................    40,000       1,795
   MGIC Investment Corp...............   113,000       5,297
   NationsBank........................    63,000       3,378
   Sanyo Shinpan Finance Co., Ltd.....       800          58
   Sumitomo Corp......................     8,000          73
                                                    --------
                                                      33,250
 </TABLE>                                                   
 
                                       39
<PAGE>   28
 
KEMPER INVESTORS FUND
EQUITY PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>                               Number                 
                                       of Shares     Value      
                                       ----------   --------    
 <S>                                   <C>          <C>         
MANUFACTURING--11.2%                                           
   AMP, Inc...........................    20,000    $    845    
(a)Applied Materials, Inc.............    23,000       1,992    
   Boeing Co..........................    86,000       5,386    
(a)Crown Cork & Seal Co...............    70,000       3,509    
   Emerson Electric Co................    69,000       4,934    
   General Electric Co................    85,400       4,814    
   Newell Co..........................   135,000       3,308    
   Scott Paper Co.....................   168,000       8,316    
   TriMas Corp........................   125,600       2,889    
   Xerox Corporation..................    27,000       3,166    
   York International Corp............    23,400       1,053    
                                                    --------    
                                                      40,212    
MEDICAL PRODUCTS                                               
AND SERVICES--17.2%                                            
   Abbott Laboratories................   178,400       7,225    
   Amgen Inc..........................    22,000       1,770    
   Boston Scientific Corp.............    50,000       1,594    
   Columbia/HCA Healthcare Corp.......    82,000       3,547    
   Eli Lilly & Co.....................    50,000       3,925    
   Healthsource, Inc..................    50,000       1,750    
(a)IDEXX Laboratories.................    67,200       1,747    
(a)Integrated Health Services.........   100,000       3,000    
   Johnson & Johnson..................   113,900       7,702    
   Medtronic, Inc.....................    82,000       6,324    
   Merck & Co., Inc...................   140,000       6,860    
(a)Mid Atlantic Medical Services,                            
     Inc..............................    61,600       1,140    
   Pfizer.............................    21,800       2,014    
(a)R. P. Scherer Corp.................    34,000       1,437    
   SmithKline Beecham PLC.............    45,000       2,036    
   United Healthcare Corp.............   180,000       7,448    
(a)U.S. Bioscience, with warrants                            
     expiring 1998....................       735           2    
(a)Value Health.......................    66,350       2,140    
                                                    --------    
                                                      61,661    
RETAILING AND                                                  
DISTRIBUTION--5.9%                                             
   Federated Department Stores........   140,000       3,605    
                                                                
<CAPTION>                                                      
                                         Number                 
                                       of Shares                
                                           or                   
                                       Principal                
                                         Amount      Value      
                                       ----------   --------    
 <S>                                   <C>          <C>         
   Home Depot.........................   115,200    $  4,680    
   Nabisco Holdings...................    17,500         473    
(a)Office Depot.......................    74,350       2,091    
(a)Starbucks Corporation..............    51,800       1,845    
(a)Viking Office Products.............    54,400       1,992    
   Wal-Mart Stores....................   241,700       6,465    
                                                    --------    
                                                      21,151    
TRANSPORTATION--.8%                                            
(a)Wisconsin Central Transportation                          
     Corp.............................    58,200       2,852    
                                                    --------    
                                                                
TOTAL COMMON STOCKS--91.9%                                     
 (Cost: $259,915).....................               329,611    
                                                                
CONVERTIBLE CORPORATE                                          
OBLIGATIONS--.6%                                               
 (Cost: $1,333)                                                 
   Medaphis Corp., 6.50%, 2000........ $   1,333       2,079    

MONEY MARKET INSTRUMENTS                                       
   Yield--6.05% to 6.30%                                        
   Due--July 1995                                               
   Cooperative Receivables                                      
     Corporation......................     5,000       4,997    
   Cox Enterprises....................    10,000       9,993    
   Working Capital Management                                   
     Company..........................     5,000       4,996    
                                                    --------    
TOTAL MONEY MARKET                                             
INSTRUMENTS--5.6%                                              
   (Cost: $19,985)....................                19,986    
                                                    --------    
TOTAL INVESTMENTS--98.1%                                       
   (Cost: $281,233)...................               351,676    

CASH AND OTHER ASSETS,                                         
LESS LIABILITIES--1.9%................                 6,802    
                                                    --------    
                                                                
NET ASSETS--100%......................              $358,478    
                                                    ========    
 </TABLE>                                                       
 
See accompanying notes to portfolio of investments.
 
                                       40
<PAGE>   29
 
NOTES TO EQUITY PORTFOLIO OF INVESTMENTS
 
(a) Non-income producing security.
 
Based on the cost of investments of $281,233,000 for federal income tax purposes
at June 30, 1995, the aggregate gross unrealized appreciation was $72,005,000,
the aggregate gross unrealized depreciation was $1,562,000 and the net
unrealized appreciation on investments was $70,443,000.
 
See accompanying notes to financial statements.
 
                                       41
<PAGE>   30
 
KEMPER INVESTORS FUND
GOVERNMENT SECURITIES PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995
(DOLLARS IN THOUSANDS)
 
<TABLE>
<CAPTION>
                                                                                Coupon                 Principal
                                                                                 Rate     Maturity      Amount       Value
                                                                                ------    ---------    ---------    --------
<S>                                                                             <C>       <C>          <C>          <C>
U.S. GOVERNMENT OBLIGATIONS
  FEDERAL HOME LOAN MORTGAGE CORPORATION--11.1%
    (Cost: $10,012)
    Pass-through Certificates.................................................   7.00 %   2023-2024     $10,711     $ 10,530
  FEDERAL NATIONAL MORTGAGE ASSOCIATION--10.4%
    (Cost: $9,678)
    Pass-through Certificates.................................................   7.50       2025          1,956        1,962
                                                                                 8.00     2024-2025       7,825        7,972
                                                                                                                    --------
                                                                                                                       9,934
 
  GOVERNMENT NATIONAL MORTGAGE ASSOCIATION--60.8%
    (Cost: $56,488)
    Pass-through Certificates.................................................   6.50     2023-2025       3,947        3,792
                                                                                 7.00     2022-2025      18,217       17,917
                                                                                 7.50     2022-2025      15,851       15,926
                                                                                 8.00     2016-2025      11,364       11,623
                                                                                 8.50     2016-2024       1,745        1,813
                                                                                 9.00     2016-2020       2,087        2,192
                                                                                 9.50     2013-2024       3,115        3,300
                                                                                10.00       2016          1,184        1,286
                                                                                                                    --------
                                                                                                                      57,849
  U.S. TREASURY SECURITIES--13.5%
    (Cost: $12,569)
    Notes.....................................................................   7.50       1997          1,000        1,025
                                                                                 6.875      2000          2,000        2,071
                                                                                 7.25       2004          3,000        3,205
    Bonds.....................................................................   8.75       2020          1,000        1,242
                                                                                 7.25       2022          5,000        5,335
                                                                                                                    --------
                                                                                                                      12,878
                                                                                                                    --------
TOTAL U.S. GOVERNMENT OBLIGATIONS--95.8%
 
    (Cost: $88,747)...........................................................                                        91,191
CORPORATE OBLIGATIONS
    American Home Products....................................................   7.90       2005            500          535
    Commonwealth Edison Company...............................................   8.375      2006            500          547
    Hydro-Quebec..............................................................   7.375      2003            500          512
    Philip Morris Companies...................................................   7.25       2003            500          508
    Philips Electric N.V. ....................................................   8.375      2006            500          551
    Sears Roebuck & Co. ......................................................   6.25       2004            500          479
                                                                                                                    --------
TOTAL CORPORATE OBLIGATIONS--3.3%
    (Cost: $3,049)............................................................                                         3,132
MONEY MARKET INSTRUMENTS--12.4%
  (Cost: $11,846)
  Yield--5.70%
  Due--September 1995
    Student Loan Marketing Association........................................                           12,000       11,845
                                                                                                                    --------
TOTAL INVESTMENTS--111.5% (Cost: $103,642)....................................                                       106,168
LIABILITIES, LESS CASH AND OTHER ASSETS--(11.5)%..............................                                       (10,973)
                                                                                                                    --------
NET ASSETS--100%..............................................................                                      $ 95,195
                                                                                                                    ========
</TABLE>
 
NOTE TO GOVERNMENT SECURITIES PORTFOLIO OF INVESTMENTS
 
Based on the cost of investments of $103,642,000 for federal income tax purposes
at June 30, 1995, the aggregate gross unrealized appreciation was $2,972,000,
the aggregate gross unrealized depreciation was $446,000 and the net unrealized
appreciation on investments was $2,526,000.
See accompanying notes to financial statements.
 
                                       42
<PAGE>   31
KEMPER INVESTORS FUND
INTERNATIONAL PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>                               Number of               
                                         Shares      Value      
                                        ---------   --------    
 <S>                                    <C>         <C>         
COMMON STOCKS                                                  
CONTINENTAL EUROPE                                             
FINLAND--4.7%                                                  
   Oy Nokia AB.........................  103,008    $  6,020    
     Telecommunications company                                 
FRANCE--4.5%                                                   
   Carrefour S.A. .....................    6,000       3,076    
     Food retailer                                              
   L'Oreal S.A.........................    6,400       1,607    
     Consumer products and services                             
   Technip S.A.........................   16,400       1,022    
     Oil company                                                
                                                    --------    
                                                       5,705    
GERMANY--4.3%                                                  
   Mannesmann A.G......................    7,600       2,320    
     Construction and engineering                               
       company                                                  
   Veba, A.G...........................    8,000       3,141    
     Electric utility                                           
                                                    --------    
                                                       5,461    
IRELAND--3.5%                                                  
(a)Allied Irish Banks PLC..............  235,000       1,108    
     Banking                                                    
   Greencore Group PLC.................  225,302       1,697    
     Food producer                                              
   Independent Newspapers Ltd..........   90,000         494    
     Publisher                                                  
   Irish Life Assurance PLC............  300,000         997    
     Life assurance and pension                                 
       policies                                                 
   Kerry Group PLC.....................   25,280         166    
     Food processing                                            
                                                    --------    
                                                       4,462    
ITALY--.9%                                                     
   Sirti SpA...........................  152,915       1,134    
     Telecommunications company                                 
NETHERLANDS--11.0%                                             
   Aalberts Industries N.V.............   23,158       1,304    
     Hardware company                                           
   ABN Amro Bank.......................   25,092         968    
     Banking                                                    
   Getronics NV........................   19,500         955    
     Information systems                                        
   Hagemeyer N.V.......................   42,710       1,903    
     Trading company                                            
   Koninklijke Ahold NV................   75,000       2,685    
     Food retailer and distributor                              
   Koninklijke PTT Netherlands NV......   25,787         926    
     Commercial services                                        
                                                                
 <CAPTION>                                                      
                                        Number of               
                                         Shares      Value      
                                        ---------   --------    
 <S>                                    <C>         <C>         
   PolyGram NV.........................   49,500    $  2,921    
     Music recording company                                    
   Wolters Kluwer......................   26,382       2,326    
     Multinational publishing                                   
       organization                                             
                                                    --------    
                                                      13,988    
SPAIN--1.9%                                                    
   Banco Bilbao Vizcaya................   34,600         999    
     Banking                                                    
   Repsol S.A..........................   45,000       1,416    
     Oil and gas producer                                       
                                                    --------    
                                                       2,415    
SWEDEN--9.4%                                                   
   Astra AB............................   90,000       2,775    
     Pharmaceutical company                                     
   Atlas Copco AB......................  100,000       1,387    
     Industrial machinery manufacturer                          
   LM Ericsson "B".....................  257,740       5,132    
     Telecommunications equipment                               
       manufacturer                                             
   Gambro AB...........................   92,000       1,327    
     Pharmaceutical company                                     
   H & M Hennes & Mauritz AB...........   21,560       1,261    
     Retailing                                                  
                                                    --------    
                                                      11,882    
SWITZERLAND--5.2%                                              
   Rhone-Poulenc.......................      200           8    
     Chemical and pharmaceutical                                
       company                                                    
   Roche Holdings AG...................      680       4,379    
     Pharmaceutical company                                     
   Union Bank of Switzerland...........    1,200       1,243    
     Banking                                                    
   Zehnder Holdings AG.................    1,350         984    
     Climate control equipment                                  
       manufacturer                                               
                                                    --------    
                                                       6,614    
                                                    --------    
TOTAL CONTINENTAL EUROPE--45.4%                       57,681    
                                                                
PACIFIC REGION                                                 
HONG KONG--5.1%                                                
   Cheung Kong Holding Ltd.............  188,000         931    
     Financial services                                         
   CITIC Pacific Ltd...................  455,000       1,144    
     Financial services                                         
   Hong Kong Telecommunications Ltd....  526,000       1,040    
     Telecommunication services                                 
   HSBC Holdings PLC...................   87,068       1,117    
     Banking                                                    
   Hutchison Whampoa Ltd...............  227,000       1,097    
     Diversified holding company                                
 </TABLE>                                                       
 
                                       43
<PAGE>   32
 
KEMPER INVESTORS FUND
INTERNATIONAL PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                            Number of                
                                             Shares      Value       
                                            ---------   --------     
   <S>                                      <C>         <C>          
     New World Development Co., Ltd......    161,889    $    539     
       Investment holding and property                             
         investment company                                        
     Peregrine Investment Holdings.......    415,000         590     
       Investment banking                                          
     Wai Kee Holdings Ltd.,                                        
     warrants expiring 1996..............    204,000           3     
       Construction company                                        
                                                        --------     
                                                           6,461     
   JAPAN--14.8%                                                    
     Amada Co., Ltd......................     25,000         213     
       Equipment manufacturer                                      
     Bridgestone Corp....................     39,000         574     
       Manufacturer of rubber related                              
         products                                                  
     Daiichi Kangyo Bank.................     65,000       1,171     
       Banking                                                     
     Daifuku Co., Ltd....................     45,000         503     
       Manufacturer of diversified                                 
         machinery                                                 
     Fuji Bank Ltd.......................     62,000       1,249     
       Banking                                                     
     Fujisawa Pharmaceutical.............    130,000       1,360     
       Pharmaceutical company                                      
     JMS Co. Ltd.........................     43,000         261     
       Medical equipment supplier                                  
     Kurita Water Industries Ltd.........     30,000         770     
       Water treatment equipment and                               
         chemical manufacturer                                     
     Kyocera Corp........................     13,000       1,069     
       Electronics manufacturer                                    
     Marui Co., Ltd......................     68,000       1,081     
       Retailer                                                    
     Mitsubishi Heavy Industries.........    165,000       1,119     
       Industrial machinery manufacturer                           
     Nippondenso Co., Ltd................     33,000         599     
       Automotive components manufacturer                          
         and supplier                                              
     NKK Corp............................    446,000       1,045     
       Steel manufacturer                                          
     Omron Corp..........................     50,000         954     
       Electronics manufacturer                                    
     Sanyo Shinpan Finance Co., Ltd......      3,800         278     
       Consumer finance company                                    
     Seven Eleven Japan Co., Ltd.........     16,000       1,144     
       Convenience retailer                                        
     Sharp Corp..........................     30,000         396     
       Electronics manufacturer                                     
     Sumitomo Bank Ltd...................     75,000       1,299     
       Banking                                                     
                                                                   
   <CAPTION>                                                       
                                            Number of                
                                             Shares      Value       
                                            ---------   --------     
   <S>                                      <C>         <C>          
     Sumitomo Corp.......................    105,000    $    955     
       Holding company                                             
     Sumitomo Trust & Banking............    120,000       1,456     
       Banking                                                     
     Tokyo Electron Ltd..................     12,000         410     
       Electronics manufacturer                                    
(a)  Ube Industries, Ltd.................    250,000         872     
       Diversified company                                         
                                                        --------     
                                                          18,778     
   MALAYSIA--1.9%                                                  
     Resorts World Bhd...................    138,000         809     
       Operator of tourist resorts                                 
     Road Builder........................     63,000         209     
       Construction company                                        
     TA Enterprise Bhd...................    125,000         431     
       Financial services                                          
     Telekom Malaysia....................    135,000       1,024     
       Telecommunications company                                  
                                                        --------     
                                                           2,473     
   SINGAPORE--3.5%                                                 
     Development Bank....................     51,000         580     
       Banking                                                     
     Fraser & Neave Ltd. ................    108,000       1,244     
       Beer and soft drink manufacturer                            
     Keppel Corp. Ltd. ..................    127,000       1,036     
       Conglomerate holding company                                
     Singapore Press Holdings............    102,000       1,525     
       Publisher                                                   
                                                        --------     
                                                           4,385     
                                                        --------     
                                                                   
   TOTAL PACIFIC REGION--25.3%                            32,097     
                                                     
   COMMONWEALTH COUNTRIES                                          
     AUSTRALIA--4.5%                                               
     Australian and New Zealand Banking                            
     Group Ltd. .........................    508,700       1,803     
       Financial services                                          
     CSL Limited.........................    269,000         563     
       Plasma producer                                             
     Tabcorp Holdings Ltd. ..............  1,165,300       2,412     
       Entertainment and gaming                                    
     TNT Ltd. ...........................    666,000         873     
       Transportation and logistics                                
                                                        --------     
                                                           5,651     
   NEW ZEALAND--.9%                                                
     Lion Nathan Ltd.....................    591,700       1,170     
    Beer and soft drink manufacturer                            
</TABLE>
 
                                       44
<PAGE>   33
 
KEMPER INVESTORS FUND
INTERNATIONAL PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>                              Number of              
                                         Shares      Value     
                                        ---------   --------   
 <S>                                    <C>         <C>        
UNITED KINGDOM--11.9%                                         
   British Petroleum...................  314,106    $  2,251   
     Petroleum mining and production                           
       company                                                 
   Commercial Union PLC................   90,000         838   
     Holding company                                           
   Dixons Group PLC....................  430,000       1,755   
     Electronics retailer                                      
   Glaxo Wellcome PLC..................  260,000       3,191   
     Pharmaceutical company                                    
   Lloyds Bank PLC.....................   95,000         942   
     Banking                                                   
   Reed International PLC..............  136,000       1,910   
     Publisher                                                 
(a)Telewest Communications.............  346,000         897   
     Communications utility                                    
   Tesco PLC...........................  377,970       1,744   
     Food retailer                                             
   Tomkins PLC.........................  430,000       1,536   
     Industrial manufacturer                                   
                                                    --------   
                                                      15,064   
                                                    --------   
TOTAL COMMONWEALTH                                            
COUNTRIES--17.3%.......................               21,885   
                                                               
LATIN AMERICA AND                                             
EMERGING MARKETS                                              
BRAZIL--.5%                                                   
   Makro Atacadista....................   41,800         606   
     Food retailer                                             
                                                               
 <CAPTION>                                                     
                                        Number of              
                                        Shares or              
                                        Principal              
                                         Amount      Value     
                                        ---------   --------   
 <S>                                    <C>         <C>        
 CHILE--.9%                                                    
(a)Provida Corporation, ADR............   43,700    $  1,174   
   Financial services                                        
                                                    --------   
 TOTAL LATIN AMERICA AND                                       
 EMERGING MARKETS--1.4%................                1,780   
                                                    --------   
 TOTAL COMMON STOCKS--89.4%                                    
   (Cost: $100,993)....................              113,443   

 MONEY MARKET INSTRUMENTS                                      
   Yield--6.10% to 6.25%                                       
   Due--July 1995                                              
     Barton Capital Corporation........ $  3,100       3,098   
     Houston Industries................    5,800       5,795   
     Unocal Corporation................    2,400       2,395   

 TOTAL MONEY MARKET                                            
   INSTRUMENTS--8.9%                                           
   (Cost: $11,288).....................               11,288   
                                                    --------   
 TOTAL INVESTMENTS--98.3%                                      
   (Cost: $112,281)....................              124,731   

 CASH AND OTHER ASSETS,                                        
   LESS LIABILITIES--1.7%..............                2,156   
                                                    --------   
 NET ASSETS--100%......................             $126,887   
                                                    ========   
 </TABLE>                                                      
 
                                       45
<PAGE>   34
 
NOTES TO INTERNATIONAL PORTFOLIO OF INVESTMENTS
 
(a)  Non-income producing security.
 
(b)  Based on the cost of investments of $112,281,000 for federal income tax
     purposes at June 30, 1995, the aggregate gross unrealized appreciation was
     $15,868,000, the aggregate gross unrealized depreciation was $3,418,000 and
     the net unrealized appreciation on investments was $12,450,000.
 
(c)  At June 30, 1995, the International Portfolio's investments had the
     following industry diversification (dollars in thousands):
 
<TABLE>
<CAPTION>
                                                                                                      Value            %
                                                                                                    ---------        -----
    <S>                                                                                             <C>              <C>
    Financial Services............................................................................  $  20,019         15.8
    Communications................................................................................     15,247         12.0
    Chemicals, Medical Equipment and Pharmaceuticals..............................................     14,634         11.5
    Retailing.....................................................................................     13,352         10.5
    Consumer Products and Services................................................................     12,485          9.8
    Industrial Products and Services..............................................................      7,713          6.1
    Publishing....................................................................................      6,255          4.9
    Diversified...................................................................................      4,798          3.8
    Energy Sources................................................................................      4,689          3.7
    Utilities.....................................................................................      3,141          2.5
    Food and Beverages............................................................................      4,277          3.4
    Electrical and Electronics....................................................................      2,829          2.2
    Construction and Building Materials...........................................................      2,532          2.0
    Transportation................................................................................        873           .7
    Automobiles, Parts and Service................................................................        599           .5
                                                                                                    ---------        -----
    Total Common Stocks...........................................................................    113,443         89.4
    Money Market Instruments......................................................................     11,288          8.9
                                                                                                    ---------        -----
    Total Investments.............................................................................    124,731         98.3
    Cash and Other Assets, Less Liabilities.......................................................      2,156          1.7
                                                                                                    ---------        -----
    Net Assets....................................................................................  $ 126,887        100.0
                                                                                                     ========        =====
</TABLE>
 
See accompanying notes to financial statements.
 
                                       46
<PAGE>   35
 
KEMPER INVESTORS FUND
SMALL CAPITALIZATION EQUITY PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>                                                      
                                        Number of               
                                         Shares      Value      
                                        ---------   -------     
 <S>                                    <C>         <C>         
COMMON STOCKS                                                  
BUILDING MATERIALS AND HOUSING--.4%                            
(a)Schuler Homes....................    6,400    $    78     
CABLE TELEVISION, BROADCASTING AND WIRELESS                    
COMMUNICATIONS--3.8%                                         
   American Radio......................    1,400         32     
(a)EZ Communications...................    2,000         37     
   Gaylord Entertainment Co. ..........   14,700        371     
   Highwaymaster.......................    1,200         18     
(a)Infinity Broadcasting...............    3,000        100     
(a)Jones Intercable "A"................    9,200        138     
   Sinclair Broadcasting Group.........    3,400         95     
                                                    -------     
                                                        791     
CHEMICALS--4.7%                                                
   Ferro Corp. ........................    6,000        159     
(a)FMC Corp. ..........................    6,000        403     
   Lawter International................    8,000         96     
   Minerals Technologies...............    5,200        187     
   OM Group............................    4,800        137     
                                                    -------     
                                                        982     
COMPUTER SOFTWARE AND                                          
TECHNOLOGY--12.4%                                              
(a)Alternative Resources                                     
   Corporation.........................   14,900        395     
   Anadigics Inc. .....................    1,200         23     
(a)Atmel Corporation...................    3,000        166     
(a)Baan Co. N.V. ......................      500         15     
(a)Broderbund Software, Inc. ..........    1,800        115     
(a)CATS Software.......................    1,600         18     
(a)C P Clare...........................    5,000        100     
   Dendrite............................    4,400         71     
   Discreet Logic......................      300         10     
(a)Gartner Group.......................    2,000         58     
   HNC Software........................      100          2     
(a)Integraph Corp. ....................    1,400         16     
   Integrated Silicon Systems..........    1,200         63     
(a)Keane, Inc. ........................    8,000        199     
(a)Lam Research Corp. .................    1,200         77     
(a)Marshall Industries.................    1,000         34     
(a)Medaphis Corp. .....................    3,000         65     
(a)Microchip Technology................    6,000        218     
(a)Novellus Systems....................    1,000         68     
(a)Paradigm Technology.................      300          7     
(a)Parametric Technology Corp. ........    2,000         99     
   Pioneer-Standard Electronics........    2,000         49     
(a)7th Level, Inc. ....................    9,900        141     
(a)Silicon Valley Group................    1,300         47     
                                                                
 <CAPTION>                                                      
                                        Number of               
                                         Shares      Value      
                                        ---------   -------     
 <S>                                    <C>         <C>         
(a)Solectron Corp. ....................    6,000    $   205     
   SpyGlass Corp. .....................    1,000         29     
(a)StrataCom...........................      700         34     
(a)Ultratech Stepper, Inc. ............    6,000        211     
(a)Uunet Technology, Inc. .............      900         25     
   Videoserver.........................      300         12     
                                                    -------     
                                                      2,572     
CONSUMER PRODUCTS                                              
AND SERVICES--7.4%                                             
   Barefoot, Inc. .....................   10,000        139     
(a)Franklin Quest Co. .................    7,900        190     
   Global Direct Mail..................    1,000         20     
   Hudson Foods........................   19,500        271     
(a)Kenneth Cole Productions............    5,000        167     
(a)Safety 1st..........................    9,100        179     
   Stewart Enterprises, Inc. ..........    7,500        251     
   UNIFI, Inc. ........................    5,400        130     
(a)Whole Foods Market..................    5,000         76     
(a)Williams-Sonoma.....................    4,500         99     
                                                    -------     
                                                      1,522     
ENGINEERING--1.2%                                              
   Jacobs Engineering Group............   11,000        242     

FINANCIAL SERVICES--4.4%                                       
   Aames Financial Corp. ..............   10,600        192     
   ADVANTA Corp. ......................    7,200        272     
(a)SPS Transaction Services............    7,500        260     
   Western National Corporation........   14,300        177     
                                                    -------     
                                                        901     
GAMING AND LODGING--2.5%                                       
(a)Felcor Suite Hotels.................    4,300        110     
(a)Hammons John Q Hotels, Inc. ........   10,000        140     
(a)MGM Grand...........................    3,000         82     
(a)Players International...............    1,650         33     
(a)Prime Hospitality Corp. ............   14,000        138     
(a)Station Casinos Inc. ...............      800         14     
                                                    -------     
                                                        517     
MANUFACTURING AND DISTRIBUTION--6.4%                           
   Elsag Bailey........................    3,000         83     
   Federal Signal Corp. ...............   12,000        260     
   Greenfield Industries...............    9,000        261     
   IMCO Recycling......................    5,300         99     
(a)Input/Output, Inc. .................    2,300         83     
   Nordson Corp. ......................      400         22     
   TriMas Corp. .......................   20,000        460     
   Wabash National Corp. ..............    2,100         65     
                                                    -------     
                                                      1,333     
</TABLE>
 
                                       47
<PAGE>   36
 
KEMPER INVESTORS FUND
SMALL CAPITALIZATION EQUITY PORTFOLIO
PORTFOLIO OF INVESTMENTS JUNE 30, 1995--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>                              Number of               
                                         Shares      Value      
                                        ---------   -------     
 <S>                                    <C>         <C>         
MEDICAL PRODUCTS AND EQUIPMENT--9.5%                           
   Arrow International................    6,100    $   258     
(a)Centocor Inc. .....................    7,000        100     
   DENTSPLY International.............    7,000        252     
   Healthdyne Technologies............    9,000         92     
(a)Heart Technology...................    7,800        151     
   ICU Medical........................    5,200         73     
(a)IDEXX Laboratories.................   15,000        390     
(a)Isolyser...........................    1,500         54     
   i-STAT Corp. ......................    1,200         44     
(a)MediSense..........................    2,400         46     
(a)Research Industries................   15,000        345     
(a)Respironics........................    5,600         80     
(a)TECNOL Medical Products, Inc. .....    3,700         81     
                                                    ------     
                                                     1,966     
MEDICAL SERVICES--7.6%                                         
(a)ABR Information Services...........    4,000        118     
   American Oncology..................    1,300         36     
(a)Caremark International, Inc. ......   15,000        300     
(a)Coastal Physician Group............   12,000        154     
(a)CRA Managed Care...................    5,800        131     
(a)Occusystems........................    4,400         75     
   Omnicare, Inc. ....................   12,000        325     
(a)Orthodontic Centers of America.....    5,000        121     
(a)Renal Treatment Centers............    6,600        163     
(a)RTW Inc............................    8,500        155     
                                                    ------     
                                                     1,578     
OFFICE EQUIPMENT AND SUPPLIES--3.3%                            
   Danka Business Systems PLC.........   11,000        266     
(a)OfficeMax..........................    7,500        209     
(a)Viking Office Products.............    5,500        201     
                                                    ------     
                                                       676     
RETAILING AND RESTAURANTS--7.7%                                
(a)Department 56, Inc. ...............    7,000        268     
(a)General Nutrition..................    6,600        232     
(a)Gymboree...........................    5,900        172     
(a)Movie Gallery......................    4,600        161     
(a)PETsMART...........................    6,000        172     
                                                                
 <CAPTION>                                                      
                                         Number of               
                                         Shares or               
                                         Principal               
                                          Amount      Value      
                                         ---------   -------     
 <S>                                    <C>         <C>         
(a)Proffitt's, Inc. ...................    6,000    $   178     
(a)Starbucks Corp. ....................    6,000        214     
   Tandy Corp..........................    4,000        207     
                                                    -------     
                                                      1,604     
TELECOMMUNICATIONS AND EQUIPMENT--7.2%                         
   Allen Group.........................   11,000        326     
(a)International CableTel..............    7,500        244     
(a)LCI International, Inc. ............   11,600        355     
(a)Tellabs Operations..................    8,000        385     
   Teltrend Inc. ......................    1,900         38     
   U.S. Robotics.......................    1,300        142     
                                                    -------     
                                                      1,490     
TRANSPORTATION--3.6%                                           
(a)ABC Rail Products...................    8,000        184     
(a)Copart, Inc. .......................    5,400        123     
(a)Wisconsin Central Transportation                          
     Corp..............................    8,800        431     
                                                    -------     
                                                        738     
                                                    -------     
TOTAL COMMON STOCKS--82.1%                                     
 (Cost: $14,448).......................              16,990     

MONEY MARKET INSTRUMENTS                                       
   Yield--5.88% to 6.02%                                        
   Due--July and September 1995                                 
     Federal Home Loan Bank............  $ 1,000        998     
     Federal Home Loan Mortgage                                 
       Corporation.....................    1,500      1,494     
     Federal National Mortgage                                  
       Association.....................    1,010        999     
                                                    -------     
TOTAL MONEY MARKET                                             
INSTRUMENTS--16.8%                                             
   (Cost: $3,491)......................               3,491     
                                                    -------     
TOTAL INVESTMENTS--98.9%                                       
   (Cost: $17,939).....................              20,481     

CASH AND OTHER ASSETS,                                         
LESS LIABILITIES--1.1%.................                 219     
                                                    -------     
NET ASSETS--100%.......................             $20,700     
                                                    =======     
</TABLE>                                                       
 
NOTES TO SMALL CAPITALIZATION EQUITY PORTFOLIO OF INVESTMENTS
 
(a) Non-income producing security.
 
Based on the cost of investments of $17,939,000 for federal income tax purposes
at June 30, 1995, the aggregate gross unrealized appreciation was $2,920,000,
the aggregate gross unrealized depreciation was $378,000 and the net unrealized
appreciation on investments was $2,542,000.
 
                                       48


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