KEMPER INVESTORS FUND
N-30D, 1995-03-07
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<PAGE>   1
 
                             KEMPER INVESTORS FUND
                              FINANCIAL STATEMENTS


<PAGE>   2
 
                         REPORT OF INDEPENDENT AUDITORS
 
THE BOARD OF TRUSTEES AND SHAREHOLDERS
KEMPER INVESTORS FUND
 
We have audited the accompanying statement of assets and liabilities, including
the portfolios of investments, of the Money Market, Total Return, High Yield,
Equity, Government Securities, International and Small Capitalization Equity
Portfolios, comprising the Kemper Investors Fund as of December 31, 1994, the
related statement of operations for the year then ended and the statement of
changes in net assets for each of the two years in the period then ended (except
for the Small Capitalization Equity Portfolio for which the period is May 2,
1994, commencement of operations, through December 31, 1994), and the financial
highlights for each of the fiscal periods since 1990. These financial statements
and financial highlights are the responsibility of the Fund's management. Our
responsibility is to express an opinion on these financial statements and
financial highlights based on our audits.
 
We conducted our audits in accordance with generally accepted auditing
standards. Those standards require that we plan and perform the audit to obtain
reasonable assurance about whether the financial statements and financial
highlights are free of material misstatement. An audit includes examining, on a
test basis, evidence supporting the amounts and disclosures in the financial
statements. Our procedures included confirmation of securities owned as of
December 31, 1994, by correspondence with the custodian and brokers. An audit
also includes assessing the accounting principles used and significant estimates
made by management, as well as evaluating the overall financial statement
presentation. We believe that our audits provide a reasonable basis for our
opinion.
 
In our opinion, the financial statements and financial highlights referred to
above present fairly, in all material respects, the financial position of each
of the Portfolios of Kemper Investors Fund at December 31, 1994, the results of
their operations and the changes in their net assets for the fiscal periods
referred to above and the financial highlights for each of the fiscal periods
since 1990, in conformity with generally accepted accounting principles.
 
                                                       ERNST & YOUNG LLP
 
Chicago, Illinois
February 3, 1995
 

<PAGE>   3

KEMPER INVESTORS FUND
 
STATEMENT OF ASSETS AND LIABILITIES
DECEMBER 31, 1994
(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:
    $83,638,
    $573,416, $240,184, $301,705,
    $125,741, $114,525 and $12,741,
    respectively):..................   $83,638     585,575     224,046     327,689      123,089       117,985          13,043
  Cash..............................        49       1,823         541          --          518           990              --
  Receivable for:
    Investments sold................        --       6,452          68       2,239          786         4,306              --
    Portfolio shares sold...........       532         473         632         353          203           191              74
    Interest and dividends..........       223       3,270       4,863         499          546            89               3
    Other...........................        --          --          --          --           73            --              --
                                       -------     -------    --------    --------      -------       -------          ------
        Total assets................    84,442     597,593     230,150     330,780      125,215       123,561          13,120
LIABILITIES AND NET ASSETS
  Cash overdraft....................        --          --          --          60           --            --              48
  Payable for:
    Investments purchased...........        --       9,306      10,224       7,668       29,224           313             122
    Portfolio shares redeemed.......       316       1,378         390       1,149          150           420              23
    Dividends.......................       227          --          --          --           --            --              --
    Management fee..................        41         267         103         156           44            76               6
    Custodian and transfer agent
      fees and related expenses.....         4          35           4          26           --            29              --
    Other...........................        33          13          14          13           15            13              12
                                       -------     -------    --------    --------      -------       -------          ------
        Total liabilities...........       621      10,999      10,735       9,072       29,433           851             211
                                       -------     -------    --------    --------      -------       -------          ------
  Net assets........................   $83,821     586,594     219,415     321,708       95,782       122,710          12,909
                                       =======     =======     =======     =======       ======       =======          ======  
ANALYSIS OF NET ASSETS
  Excess of amounts received from
    issuance of shares over amounts
    paid on redemptions of shares on
    account of capital..............   $84,316     580,149     237,402     268,926       87,744       115,945          12,638
  Undistributed net realized gain
    (loss) on sales of investments
    and foreign currency
    transactions....................        --     (26,979)    (20,129)     23,797       (7,379)        1,916            (128)
  Unrealized appreciation
    (depreciation) of investments
    and foreign currency
    transactions....................      (495)     12,159     (16,138)     25,984       (2,652)        3,440             302
  Undistributed net investment
    income..........................        --      21,265      18,280       3,001       18,069         1,409              97
                                       -------     -------    --------    --------      -------       -------          ------
  Net assets applicable to shares
    outstanding.....................   $83,821     586,594     219,415     321,708       95,782       122,710          12,909
                                       =======     =======     =======     =======       ======       =======          ======  
THE PRICING OF SHARES
  Shares outstanding, no par
    value...........................    83,821     277,690     185,205     120,721       83,892        98,620          12,419
                                       =======     =======     =======     =======       ======       =======          ======  
  Net asset value, offering price
    and redemption price per share
    (Net assets / shares
    outstanding)....................   $ 1.000       2.112       1.185       2.665        1.142         1.244           1.039
                                       =======     =======     =======     =======       ======       =======          ======  
</TABLE>
 
See accompanying notes to financial statements.
 
                                       1
<PAGE>   4

KEMPER INVESTORS FUND
STATEMENT OF OPERATIONS
FOR THE YEAR ENDED DECEMBER 31, 1994
(IN THOUSANDS)
 
<TABLE>
<CAPTION>        
                                                                                                                       Small
                                      Money        Total        High                      Government                  Capitalization
                                      Market      Return        Yield       Equity        Securities    International  Equity
                                      Portfolio   Portfolio    Portfolio    Portfolio     Portfolio     Portfolio      Portfolio(a)
                                      ------      -------      -------      -------       ------        ------         ----
<S>                                   <C>         <C>          <C>          <C>           <C>           <C>            <C>
Investment income:
 
  Interest..........................  $4,596       16,837       22,444          981        6,698           500           81
  Dividends.........................      --        6,307           26        3,015           --         1,374            7
                                      ------      -------      -------      -------       ------        ------         ----
    Total investment income.........   4,596       23,144       22,470        3,996        6,698         1,874           88
Expenses:
  Management fee....................     512        3,403        1,329        1,768          583           842           26
  Custodian and transfer agent fees
    and related expenses............      15          175           38           84           40           151           11
  Professional fees.................       8           64           23           29           12             8            1
  Trustees' fees and other..........      12          150           58           74           37            45           13
                                      ------      -------      -------      -------       ------        ------         ----
    Total expenses..................     547        3,792        1,448        1,955          672         1,046           51
                                      ------      -------      -------      -------       ------        ------         ----
Net investment income...............   4,049       19,352       21,022        2,041        6,026           828           37
Net realized and unrealized gain
  (loss) on investments:
  Net realized gain (loss) on sales
    of investments and foreign
    currency transactions...........      --      (26,384)      (6,998)      23,805       (6,337)        1,853         (128)
  Net realized loss from futures
    transactions....................      --           --           --           --         (475)           --           --
                                      ------      -------      -------      -------       ------        ------         ----
    Net realized gain (loss)........      --      (26,384)      (6,998)      23,805       (6,812)        1,853         (128)
  Net change in balance of
    unrealized appreciation or
    depreciation of investments and
    foreign currency transactions...    (495)     (55,621)     (19,015)     (37,642)      (2,415)       (7,631)         302
                                      ------      -------      -------      -------       ------        ------         ----
Net gain (loss) on investments......    (495)     (82,005)     (26,013)     (13,837)      (9,227)       (5,778)         174
                                      ------      -------      -------      -------       ------        ------         ----
Net increase (decrease) in net
  assets resulting from
  operations........................  $3,554      (62,653)      (4,991)     (11,796)      (3,201)       (4,950)         211
                                      ======      =======      =======      =======       ======        ======         ====
</TABLE>
 
(a) For the period from May 2, 1994 (commencement of operations) to December 31,
1994.
 
                                       2
<PAGE>   5

KEMPER INVESTORS FUND
STATEMENT OF CHANGES IN NET ASSETS
FOR THE YEARS ENDED DECEMBER 31, 1994 AND 1993
(IN THOUSANDS)
 
<TABLE>
<CAPTION>
                                                                                     Money Market                Total Return
                                                                                      Portfolio                   Portfolio
                                                                                 --------------------       ----------------------
                                                                                  1994          1993         1994           1993
                                                                                 -------       ------       -------       --------
<S>                                                                              <C>           <C>          <C>           <C>
Operations:
  Net investment income.......................................................   $ 4,049        1,992        19,352         18,685
  Net realized gain (loss)....................................................        --           --       (26,384)        41,592
  Net change in unrealized appreciation or depreciation.......................      (495)          --       (55,621)         7,456
                                                                                 -------       ------       -------       --------
    Net increase (decrease) in net assets resulting from operations...........     3,554        1,992       (62,653)        67,733
Equalization credits (charges)................................................        --           --           721            665
Dividends to shareholders:
  Distribution from net investment income.....................................    (4,049)      (1,992)      (15,302)      (12,570)
  Distribution from net realized gain on investments..........................        --           --       (42,771)      (24,994)
  Distribution in excess of net realized gain on investments..................        --           --          (586)            --
                                                                                 -------       ------       -------       --------
Total dividends to shareholders...............................................    (4,049)      (1,992)      (58,659)      (37,564)
Net increase (decrease) from capital share transactions.......................    15,644       (7,093)       63,355         84,989
Capital contribution from investment manager..................................       495           --            --             --
                                                                                 -------       ------       -------       --------
Total increase (decrease) in net assets.......................................    15,644       (7,093)      (57,236)       115,823
Net assets:
  Beginning of year...........................................................    68,177       75,270       643,830        528,007
                                                                                 -------       ------       -------       --------
  End of year.................................................................   $83,821       68,177       586,594        643,830
                                                                                 =======       ======       =======        =======
Undistributed net investment income at end of year............................   $    --           --        21,265         16,485
                                                                                 =======       ======       =======        =======
</TABLE>
 
(a) For the period from May 2, 1994 (commencement of operations) to December 31,
1994.
 
See accompanying notes to financial statements.
 
                                      3
<PAGE>   6
 
<TABLE>
<CAPTION>
                                                    Government
    High Yield                Equity                Securities            International        Small Capitalization
     Portfolio               Portfolio               Portfolio              Portfolio            Equity Portfolio
- -------------------     -------------------     -------------------     ------------------     --------------------
 1994        1993        1994        1993        1994        1993        1994        1993            1994(a)
- -------     -------     -------     -------     -------     -------     -------     ------     --------------------
<S>         <C>         <C>         <C>         <C>         <C>         <C>         <C>        <C>
 21,022      19,481       2,041         725       6,026       5,778         828        340                37
 (6,998)      4,150      23,805      14,309      (6,812)      2,126       1,853      1,266              (128)
(19,015)     13,120     (37,642)     19,480      (2,415)       (997)     (7,631)    10,873               302
- -------     -------     -------     -------     -------     -------     -------     ------            ------
 (4,991)     36,751     (11,796)     34,514      (3,201)      6,907      (4,950)    12,479               211
 (1,390)      2,167         432         238      (2,672)      3,133         422        461                60
(19,251)    (14,790)         --      (1,134)     (5,312)     (4,989)         --       (225)               --
     --          --     (14,929)     (4,892)     (2,095)     (2,491)     (1,170)       (38)               --
     --          --          --          --        (561)         --          --         --                --
- -------     -------     -------     -------     -------     -------     -------     ------            ------
(19,251)    (14,790)    (14,929)     (6,026)     (7,968)     (7,480)     (1,170)      (263)               --
 11,083      47,678      63,540      52,111     (12,289)     20,538      39,528     56,756            12,538
     --          --          --          --          --          --          --         --                --
- -------     -------     -------     -------     -------     -------     -------     ------            ------
(14,549)     71,806      37,247      80,837     (26,130)     23,098      33,830     69,433            12,809
233,964     162,158     284,461     203,624     121,912      98,814      88,880     19,447               100
- -------     -------     -------     -------     -------     -------     -------     ------            ------
219,415     233,964     321,708     284,461      95,782     121,912     122,710     88,880            12,909
=======     =======     =======     =======     =======     =======     =======     ======            ======    
 18,280      17,893       3,001       1,136      18,069      20,021       1,716        539                97
=======     =======     =======     =======     =======     =======     =======     ======            ======    
</TABLE>
 
                                       4
<PAGE>   7
 
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.
 
FOREIGN 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 net realized and unrealized gain or loss from investments
and foreign currency transactions, as appropriate.
 
                                       5
<PAGE>   8
 
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.
 
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
December 31, 1994, the Government Securities Portfolio had $23,475,000 of
purchase commitments outstanding (25% 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 and therefore no federal income tax
provision is required. The accumulated net realized loss on sales of investments
for federal income tax purposes at December 31, 1994 amounted to approximately
$26,387,000 in the Total Return Portfolio, $20,115,000 in the High Yield
Portfolio, $6,817,000 in the Government Securities Portfolio and $128,000 in the
Small Capitalization Equity Portfolio. These losses are available to offset
future taxable gains in their respective Portfolios and, if not applied, expire
during the period 1998 through 2002.
 
Distributions to shareholders are determined in accordance with income tax
regulations which may differ from generally accepted accounting principles.
These differences are primarily due to differing treatments for certain
transactions such as foreign currency transactions, if applicable.
 
                                      6
<PAGE>   9
 
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 and a distribution services 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 year ended December 31, 1994, the Fund incurred management fees of
$8,463,000. Effective February 1, 1995, KFS transferred all of its duties and
responsibilities as principal underwriter under the distribution services
agreement to Kemper Distributors, Inc., a wholly owned subsidiary of KFS.
 
Kemper Asset Holdings, Inc. (KAHI), a subsidiary of Kemper Corporation, the
parent company of Kemper Financial Services, Inc., entered into a put and call
agreement with the Fund, expiring March 15, 1995. The agreement provided that
the Fund had the unconditional right to require KAHI to purchase the Orange
County, California obligation held in the Money Market Portfolio at par plus
accrued interest. KAHI's obligations thereunder were guaranteed by Kemper
Corporation. On January 26, 1995, KAHI and the Fund entered into a Note Transfer
Agreement, which replaced the put and call agreement. Pursuant to the Note
Transfer Agreement, KAHI arranged for the issuance of a $3,105,700 irrevocable
letter of credit from The Bank of New York for the benefit of the Fund to
support the payment of principal and interest when due.
 
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 year ended December 31,
1994, the Fund incurred custodian and transfer agent fees and related expenses
of $509,000.
 
                                      7
<PAGE>   10
 
NOTES TO FINANCIAL STATEMENTS--(CONTINUED)
 
Certain officers or trustees of the Fund are also officers or directors of KFS.
During the year ended December 31, 1994, the Fund made no direct payments to its
officers and incurred trustees' fees of $67,000 to independent trustees.
 
(4) INVESTMENT TRANSACTIONS
 
For the year ended December 31, 1994 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.............................  $ 807,150      234,801       327,576        548,704         150,689            10,292
                                        ---------     ---------     ---------     ----------     ----------            ------
Proceeds from sales...................  $ 729,590      215,709       295,948        571,357         111,589             1,612
                                        ---------     ---------     ---------     ----------     ----------            ------
</TABLE>
 
(5) CAPITAL SHARE TRANSACTIONS
 
The following table summarizes the activity in capital shares of the Fund (in
thousands):
 
<TABLE>
<CAPTION>
                                       Year ended December 31, 1994
       -----------------------------------------------------------------------------------------------
                    Money                                                                  Government                     
                   Market      Total Return         High Yield            Equity           Securities        
                  Portfolio      Portfolio           Portfolio           Portfolio          Portfolio        
                 ---------  -----------------  -------------------  -----------------  -----------------  
                 (a)        Shares    Amount     Shares    Amount    Shares   Amount    Shares    Amount   
               ---------    ------   ---------  --------  ---------  ------  ---------  -------  --------  
<S>            <C>          <C>      <C>        <C>       <C>        <C>     <C>        <C>      <C>       
Shares
sold...          $ 218,865   55,759  $ 127,333   105,586  $ 122,106   63,325  $ 173,691   18,859  $ 17,396  
Shares
issued
  in
  reinvestment
  of
  dividends...       3,923   27,538     58,659    16,697     19,251    5,689     14,929    7,004     7,968 
                   -------   ------    -------   -------    -------   ------    -------   ------    ------  
                   222,788   83,297    185,992   122,283    141,357   69,014    188,620   25,863    25,364  
Less
shares
  redeemed...      207,144   54,564    122,637   111,925    130,274   45,216    125,080   38,208    37,653  
                   -------   ------    -------   -------    -------   ------    -------   ------    ------  
Net
increase
  (decrease)
 from
 capital
share
  transactions... $ 15,644   28,733  $  63,355    10,358  $  11,083   23,798  $  63,540  (12,345) $(12,289)
                   =======   ======  =========   =======   ========   ======   ========   ======   =======  

             
                                           Small
                                        Capitalization
                        International        Equity
                          Portfolio       Portfolio(b)
                      -----------------  ---------------
                     Shares   Amount    Shares  Amount
                     ------  ---------  ------  -------
<S>                  <C>     <C>        <C>     <C>
Shares       
sold...              78,847  $  99,933  16,090  $16,218
Shares       
issued       
  in         
  reinvestmen
  of         
  dividends..           952     1,170      --       --
                    -------    ------  -------   ------
                     79,799   101,103   16,090   16,218
Less         
shares       
  redeemed...         9,218    61,575    3,671    3,680
                    -------    ------  -------   ------
Net          
increase     
  (decrease) 
 from        
 capital     
share        
  transaction        30,581  $ 39,528   12,419  $12,538
                    =======  ========  =======  =======
             
</TABLE>
 
<TABLE>
<CAPTION>
                                                          Year ended December 31, 1993
               ------------------------------------------------------------------------------------------------------------------
                 Money                                                                         Government
                Market        Total Return           High Yield              Equity            Securities         International
               Portfolio       Portfolio             Portfolio             Portfolio            Portfolio           Portfolio
               ---------   ------------------   --------------------   ------------------   -----------------   -----------------
                  (a)      Shares    Amount      Shares     Amount     Shares    Amount     Shares    Amount    Shares    Amount
               ---------   ------   ---------   --------   ---------   ------   ---------   ------   --------   ------   --------
<S>            <C>         <C>      <C>         <C>        <C>         <C>      <C>         <C>      <C>        <C>       <C>
Shares sold...  $ 122,177   65,954   $ 160,847    107,407   $ 126,476   57,098   $ 155,533   37,818   $ 39,931   61,692   $ 71,384
Shares issued
  in
  reinvestment
  of
  dividends...      1,985   15,946      37,564     12,485      14,790    2,369       6,026    6,077      7,480      248        263
                ---------   ------   ---------   --------   ---------   ------   ---------   ------   --------   ------   --------
                  124,162   81,900     198,411    119,892     141,266   59,467     161,559   43,895     47,411   61,940     71,647
Less shares
  redeemed....    131,255   46,470     113,422     79,143      93,588   39,934     109,448   25,057     26,873   13,491     14,891
                ---------   ------   ---------   --------   ---------   ------   ---------   ------   --------   ------   --------
Net increase
  (decrease)
  from capital
  share
  transactions. $  (7,093)  35,430   $  84,989     40,749   $  47,678   19,533   $  52,111   18,838   $ 20,538   48,449   $ 56,756
                  =======    ======    =======     ======   =========   ======    ========   ======    =======   ======    =======
</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.
 
                                       8
<PAGE>   11
 
NOTES TO FINANCIAL STATEMENTS--(CONTINUED)
 
(6) INTERNATIONAL PORTFOLIO BY INDUSTRY
 
At December 31, 1994, the International Portfolio's investments had the
following industry diversification (in thousands):
 
<TABLE>
<CAPTION>
                                                                                                      Value            %
                                                                                                    ---------        -----
    <S>                                                                                             <C>              <C>
    Automobiles, Parts and Services...............................................................  $   8,730          7.1
    Chemical, Medical Equipment and Pharmaceutical................................................      7,410          6.0
    Communications................................................................................     13,696         11.2
    Construction and Building Materials...........................................................      2,472          2.0
    Consumer Products and Services................................................................      5,164          4.2
    Diversified...................................................................................      9,779          8.0
    Electrical and Electronics....................................................................      8,079          6.6
    Energy sources................................................................................      9,962          8.1
    Financial Services and Real Estate............................................................     10,250          8.3
    Food and Beverages............................................................................      3,630          2.9
    Industrial Products and Services..............................................................     11,003          9.0
    Paper Products................................................................................      1,101          0.9
    Publishing....................................................................................      1,789          1.5
    Retailing.....................................................................................      4,382          3.6
    Transportation................................................................................      4,406          3.6
    Utilities.....................................................................................      4,202          3.4
                                                                                                    ---------        -----
    Total Common Stocks...........................................................................    106,055         86.4
    Money Market Instruments......................................................................     11,930          9.7
                                                                                                    ---------        -----
    Total Investments.............................................................................    117,985         96.1
    Cash and Other Assets, less Liabilities.......................................................      4,725          3.9
                                                                                                    ---------        -----
    Net Assets....................................................................................  $ 122,710        100.0
                                                                                                     ========        =====
</TABLE>
 
                                       9
<PAGE>   12
 
FINANCIAL HIGHLIGHTS
 
MONEY MARKET PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                                        Year ended December 31,
                                                                           1994        1993       1992       1991       1990
                                                                          -------     ------     ------     ------     ------
<S>                                                                       <C>         <C>        <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of year....................................      $1.00       1.00       1.00       1.00       1.00
Net investment income and dividends declared..........................        .04        .03        .03        .06        .08
                                                                          -------     ------     ------     ------     ------
Net asset value, end of year..........................................      $1.00       1.00       1.00       1.00       1.00
                                                                          =======     ======     ======     ======     ======
 
TOTAL RETURN (%)......................................................       3.96       2.83       3.43       5.89       8.08

RATIOS TO AVERAGE NET ASSETS (%):
Expenses..............................................................        .53        .56        .57        .56        .58
Net investment income.................................................       3.95       2.79       3.38       5.80       7.78

SUPPLEMENTAL DATA:
Net assets at end of year (in thousands)..............................    $83,821     68,177     75,270     76,479     95,759
</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>
                                                                                      Year ended December 31,
                                                                          1994       1993       1992       1991       1990
                                                                        --------    -------    -------    -------    -------
<S>                                                                     <C>         <C>        <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of year...................................     $2.586      2.473      2.658      2.071      2.021
Income from investment operations:
  Net investment income..............................................       .069       .069       .061       .080       .113
  Net realized and unrealized gain (loss) on investments.............      (.313)      .214      (.026)      .677      (.013)
                                                                        --------    -------    -------    -------    -------
Total from investment operations.....................................      (.244)      .283       .035       .757       .100
Less dividends:
  Distribution from net investment income............................       .060       .050       .080       .110       .020
  Distribution from net realized gain on investments.................       .168       .120       .140       .060       .030
  Distribution in excess of net realized gain on investments.........       .002         --         --         --         --
                                                                        --------    -------    -------    -------    -------
Total dividends......................................................       .230       .170       .220       .170       .050
                                                                        --------    -------    -------    -------    -------
Net asset value, end of year.........................................     $2.112      2.586      2.473      2.658      2.071
                                                                        ========    =======    =======    =======    =======
 
TOTAL RETURN (%).....................................................      (9.50)     12.13       1.69      37.90       5.04

RATIOS TO AVERAGE NET ASSETS (%):
Expenses.............................................................        .61        .59        .60        .61        .61
Net investment income................................................       3.13       3.19       3.41       3.46       5.94

SUPPLEMENTAL DATA:
Net assets at end of year (in thousands).............................   $586,594    643,830    528,007    412,772    272,747
Portfolio turnover rate (%)..........................................        128        191        160        187        139
</TABLE>
 
                                      10
<PAGE>   13
 
FINANCIAL HIGHLIGHTS--(CONTINUED)
 
HIGH YIELD PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                                       Year ended December 31,
                                                                           1994       1993       1992       1991       1990
                                                                         --------    -------    -------    -------    ------
<S>                                                                      <C>         <C>        <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of year....................................     $1.338      1.209      1.144       .914     1.122
Income from investment operations:
  Net investment income...............................................       .116       .120       .125       .140      .170
  Net realized and unrealized gain (loss) on investments..............      (.149)      .109       .070       .300     (.338)
                                                                         --------    -------    -------    -------    ------
Total from investment operations......................................      (.033)      .229       .195       .440     (.168)
Less dividends from net investment income.............................       .120       .100       .130       .210      .040
                                                                         --------    -------    -------    -------    ------
Net asset value, end of year..........................................     $1.185      1.338      1.209      1.144      .914
                                                                         ========    =======    =======    =======    ======
 
TOTAL RETURN (%)......................................................      (2.25)     20.00      17.76      51.83    (15.45)

RATIOS TO AVERAGE NET ASSETS (%):
Expenses..............................................................        .65        .63        .64        .67       .68
Net investment income.................................................       9.49       9.54      10.44      12.95     16.27

SUPPLEMENTAL DATA:
Net assets at end of year (in thousands)..............................   $219,415    233,964    162,158    121,608    88,566
Portfolio turnover rate (%)...........................................         98         84         57         31        28
</TABLE>
 
EQUITY PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                                       Year ended December 31,
                                                                           1994       1993       1992       1991       1990
                                                                         --------    -------    -------    -------    ------
<S>                                                                      <C>         <C>        <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of year....................................     $2.935      2.631      2.642      1.681     1.692
Income from investment operations:
  Net investment income...............................................       .018       .004       .007       .017      .032
  Net realized and unrealized gain (loss) on investments..............      (.138)      .370       .082       .974     (.023)
                                                                         --------    -------    -------    -------    ------
Total from investment operations......................................      (.120)      .374       .089       .991      .009
Less dividends:
  Distribution from net investment income.............................         --       .010       .005       .030      .010
  Distribution from net realized gain on investments..................       .150       .060       .095         --      .010
                                                                         --------    -------    -------    -------    ------
Total dividends.......................................................       .150       .070       .100       .030      .020
                                                                         --------    -------    -------    -------    ------
Net asset value, end of year..........................................     $2.665      2.935      2.631      2.642     1.681
                                                                         ========    =======    =======    =======    ======
 
TOTAL RETURN (%)......................................................      (4.02)     14.63       3.57      59.47       .60

RATIOS TO AVERAGE NET ASSETS (%):
Expenses..............................................................        .66        .64        .64        .67       .68
Net investment income.................................................        .69        .30        .65        .83      2.23

SUPPLEMENTAL DATA:
Net assets at end of year (in thousands)..............................   $321,708    284,461    203,624    118,983    61,621
Portfolio turnover rate (%)...........................................        106         78         78        106       135
</TABLE>
 
                                      11
<PAGE>   14
 
FINANCIAL HIGHLIGHTS--(CONTINUED)
 
GOVERNMENT SECURITIES PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                                       Year ended December 31,
                                                                          1994        1993        1992       1991       1990
                                                                         -------     -------     ------     ------     ------
<S>                                                                      <C>         <C>         <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of year...................................     $1.267       1.277      1.287      1.175      1.091
Income from investment operations:
  Net investment income..............................................       .067        .060       .064       .090       .093
  Net realized and unrealized gain (loss) on investments.............      (.102)       .020       .006       .082       .011
                                                                         -------     -------     ------     ------     ------
Total from investment operations.....................................      (.035)       .080       .070       .172       .104
Less dividends:
  Distribution from net investment income............................       .060        .060       .050       .060       .020
  Distribution from net realized gain on investments.................       .024        .030       .030         --         --
  Distribution in excess of net realized gain on investments.........       .006          --         --         --         --
                                                                         -------     -------     ------     ------     ------
Total dividends......................................................       .090        .090       .080       .060       .020
                                                                         -------     -------     ------     ------     ------
Net asset value, end of year.........................................     $1.142       1.267      1.277      1.287      1.175
                                                                         =======     =======     ======     ======     ======
TOTAL RETURN (%).....................................................      (2.74)       6.48       5.90      15.22       9.81
RATIOS TO AVERAGE NET ASSETS (%):
Expenses.............................................................        .63         .60        .61        .63        .58
Net investment income................................................       5.69        5.05       6.08       7.42       8.48
SUPPLEMENTAL DATA:
Net assets at end of year (in thousands).............................    $95,782     121,912     98,814     59,064     31,929
Portfolio turnover rate (%)..........................................        606         534        492        141        174
</TABLE>
 
NOTE TO GOVERNMENT SECURITIES PORTFOLIO:
 
KFS waived its management fee during a portion of 1990. Absent this waiver, the
ratio of expenses to average net assets and the ratio of net investment income
to average net assets would have been .66% and 8.40%, respectively.
 
INTERNATIONAL PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                   January 6,
                                                Year ended          1992 to
                                               December 31,       December 31,
                                              1994       1993         1992
                                            --------    ------    ------------
<S>                                         <C>         <C>       <C>              
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period.....     $1.306      .993        1.000
Income from investment operations:
  Net investment income..................       .009      .010         .010
  Net realized and unrealized gain (loss)
    on investments.......................      (.056)     .313        (.017)
                                            --------    ------       ------
Total from investment operations.........      (.047)     .323        (.007)
Less dividends:
  Distribution from net investment
    income...............................         --      .009           --
  Distribution from net realized gain on
    investments..........................       .015      .001           --
                                            --------    ------       ------
Total dividends..........................       .015      .010           --
                                            --------    ------       ------
Net asset value, end of period...........     $1.244     1.306         .993
                                            ========    ======      =======
TOTAL RETURN (%).........................      (3.59)    32.83         (.72)

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

SUPPLEMENTAL DATA:
Net assets at end of period (in
  thousands).............................   $122,710    88,880       19,447
Portfolio turnover rate (%)..............        107       116          129
</TABLE>
 
                                      12
<PAGE>   15
 
FINANCIAL HIGHLIGHTS--(CONTINUED)
 
SMALL CAPITALIZATION EQUITY PORTFOLIO
<TABLE>
<CAPTION>
                                                                            May 2, 1994
                                                                                to
                                                                         December 31, 1994
                                                                         -----------------
<S>                                                                      <C>                   
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period.................................          $1.000
Income from investment operations:
  Net investment income..............................................            .008
  Net realized and unrealized gain on investments....................            .031
                                                                               ------
Total from investment operations.....................................            .039
                                                                               ------
Net asset value, end of period.......................................          $1.039
                                                                               ======     
TOTAL RETURN (%).....................................................            3.95

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

SUPPLEMENTAL DATA:
Net assets at end of period (in thousands)...........................         $12,909
Portfolio turnover rate (%)..........................................              58
 
</TABLE>
 
- ---------------
NOTE: Ratios for all Portfolios have been determined on an annualized basis.
      Total return is not annualized.
 
                                      13
<PAGE>   16
 
KEMPER INVESTORS FUND
MONEY MARKET PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                                        Value    
                                                       -------  
<S>                                                  <C>      
   CORPORATE OBLIGATIONS                                      
   CAPTIVE BUSINESS FINANCE--12.2%                            
      American Honda Finance Corporation                       
        6.36%, 3/06/95..............................  $ 2,967  
      B.A.T. Capital Corporation                               
        5.89%, 1/05/95..............................    1,299  
      Enterprise Funding Corporation                           
        6.17%, 1/24/95..............................    2,988  
      Greyhound Financial Corporation                          
        5.58%, 1/18/95..............................    2,992  
                                                      -------  
                                                       10,246  
   CONSUMER FINANCING AND BANKING--13.6%                      
      Chrysler Financial Corporation                           
        5.68%, 2/01/95..............................    2,986  
   (a)Citicorp                                              
        6.50%, 3/07/95..............................    1,000  
      General Electric Capital Services Inc.                   
        6.11%, 2/27/95..............................    1,684  
      General Motors Acceptance Corporation                    
        5.08%, 1/01/95..............................    1,000  
      Sears Roebuck Acceptance Corporation                     
        5.58%, 1/25/95..............................    2,989  
      Transamerica Finance Corporation                         
        5.69%, 1/19/95..............................    1,695  
                                                      -------  
                                                       11,354  
   CONSUMER PRODUCTS AND SERVICES--5.9%                       
      American Home Products Corporation                       
        6.11%, 3/08/95..............................    2,967  
      PepsiCo, Inc.                                            
        4.12%, 2/03/95..............................    1,999  
                                                      -------  
                                                        4,966  
   CORPORATE FINANCING--6.9%                                  
      ITT Financial Corporation                                
        5.96%, 2/21/95..............................    2,975  
      Xerox Credit Corporation                                 
        6.08%, 1/18/95..............................    2,792  
                                                      -------  
                                                        5,767  
   ENERGY--3.6%                                               
      Arnold Fuel Inc.                                         
        6.13%, 1/12/95..............................    2,994  
                                                               
   FINANCIAL SERVICES--14.3%                                  
   (a)Bear Stearns Companies Inc.                           
        6.23%, 1/20/95..............................    2,000  
   (a)CS First Boston, Inc.                                 
        6.26%, 1/11/95..............................    2,000  
   (a)Goldman, Sachs & Co.                                  
        6.13%, 1/13/95..............................    2,998  
   (a)Morgan Stanley Group Inc.                             
        6.48%, 3/15/95..............................    3,000  
                                                               
<CAPTION>                                                  
                                                       Value   
                                                      -------  
<S>                                                       <C>      
   (a)Salomon Inc                                           
        6.35%, 1/03/95..............................  $ 2,000  
                                                      -------  
                                                       11,998  
   MANAGEMENT SERVICES--3.6%                                  
      PHH Corporation                                          
        6.08%, 1/17/95..............................    2,992  
                                                               
(B)MUNICIPAL OBLIGATION--3.6%                              
   (a)Orange County, California 6.00%, 
        7/10/95 (maturity), $3,000,000 (par)........    2,550  
      Put and Call Agreement with Kemper Asset                 
        Holdings, Inc., guaranteed by Kemper                   
        Corporation.................................      450  
                                                      -------  
                                                        3,000  
                                                               
   RECEIVABLES FINANCING--19.2%                               
      J.V. Receivables Corporation                             
        5.88%, 1/25/95..............................    2,988  
      NNW Utility Funding, Inc.                                
        5.93%, 1/17/95..............................    1,995  
      Ranger Funding Corporation                               
        6.28%, 2/10/95..............................    2,979  
   (a)Sanwa Business Credit Corporation                     
        6.13%, 1/06/95..............................    3,000  
      Sierra Funding Corporation                               
        6.23%, 2/09/95..............................    2,980  
      Strategic Asset Funding Corporation                      
        5.80%, 1/23/95..............................    2,184  
                                                      -------  
                                                       16,126  
                                                      -------  
   TOTAL CORPORATE OBLIGATIONS--82.9%                         
   (average maturity: 35 days)......................   69,443  
                                                               
   BANK OBLIGATIONS                                           
   (a)First National Bank of Boston                         
        6.34%, 3/24/95..............................    2,999  
      PNC Bank N.A.                                            
        6.13%, 4/20/95..............................    2,996  
   (a)Shawmut Bank Connecticut, N.A.                        
        6.45%, 1/04/95..............................    2,000  
                                                      -------  
   TOTAL BANK OBLIGATIONS--9.5%                               
   (average maturity: 72 days)                          7,995  
   REPURCHASE AGREEMENT--7.4%                                 
      First National Bank of Chicago, dated                    
      12/30/94, collateralized by U.S. Treasury 
        Securities 5.55%, 1/03/95...................    6,200  
                                                      -------  
   TOTAL INVESTMENTS--99.8%                                   
   (average maturity: 36 days)......................   83,638  
                                                               
   CASH AND OTHER ASSETS,                                     
   LESS LIABILITIES--.2%............................      183  
                                                      -------  
   NET ASSETS--100%.................................  $83,821  
                                                      =======  
</TABLE>                                                   
     
See accompanying notes to portfolio of investments.
     
                                      14
<PAGE>   17
 
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, except as
described in Note (b), 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 December
     31, 1994. The dates shown represent the demand date or next interest rate
     change date.
 
(b)  This investment is illiquid. See Note (3) of the Notes to Financial
     Statements.
 
See accompanying notes to financial statements.
 
                                      15
<PAGE>   18
 
KEMPER INVESTORS FUND
 
TOTAL RETURN PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                       Principal
                                        Amount                 
                                       or Number                
                                       of Shares        Value      
                                       ----------      --------    
<S>                                    <C>             <C>         
U.S. GOVERNMENT OBLIGATIONS                                       
   U.S. Treasury Strips, 2015........  $  192,000      $ 37,540    
   U.S. Treasury Strips, 2020........     188,000        24,989    
                                                       --------    
TOTAL U.S. GOVERNMENT                                             
OBLIGATIONS--10.7%                                                
   (Cost: $60,607)...................                    62,529    
   
COMMON STOCKS                                                     
CHEMICALS--.3%                                                    
   Morton International, Inc. .......      69,300shs.     1,975  
                                                                   
COMMUNICATIONS AND MEDIA--6.2%                                    
(b)AirTouch Communications...........      60,000         1,747    
   American Telephone & Telegraph                                  
     Company.........................     193,500         9,723    
   DDI Corporation...................         500         4,310    
(b)DSC Communications 
   Corporation.......................      83,300         2,988    
   LM Ericsson, "B"..................      32,300         1,786    
   Harcourt General..................      10,000           353    
(b)Gillett Holdings, Inc. ...........      33,652           707    
   Nokia Telecom.....................       9,733         1,433    
(b)Paging Network Inc. ..............      60,000         2,040    
   Readers Digest Association,                                     
     Inc. ...........................      20,000           983    
   Singapore Press Holdings..........      29,000           527    
(b)Technology Resource, Ltd. ........     170,700           545    
(b)Tele-Communications, Inc. ........     100,000         2,175    
   Telecom Corporation of                                          
     New Zealand.....................      12,800            42    
(b)Telewest Communications...........      16,000            43    
(b)Tellabs, Inc. ....................      44,000         2,453    
   U.S. West.........................      60,000         2,138    
(b)Viacom International                                         
     "A" shares......................      12,456           518    
     "B" shares......................      50,377         2,047    
                                                       --------    
                                                         36,558    
COMPUTER SOFTWARE AND                                             
ELECTRONICS--6.7%                                               
(b)Applied Materials, Inc. ..........      77,300         3,266    
   Brown Boveri......................       1,300         1,120    
   Computer Associates                                             
     International, Inc. ............      40,000         1,940    
(b)Compuware Corp. ..................      70,000         2,520    
   First Data Corporation............      70,800         3,354    
   General Motors Corporation, "E"...      50,100         1,929    
                                                                   
<CAPTION>                                                         
                                         Number                    
                                       of Shares        Value      
                                       ----------      --------    
<S>                                    <C>             <C>         
   Kyocera Corporation...............      26,000      $  1,926    
   Intel Corporation.................      55,300         3,532    
(b)Microsoft Corporation.............      20,000         1,222    
   Molex, Inc. ......................       6,300           217    
   Motorola, Inc. ...................     160,000         9,260    
(b)Oracle Systems Corporation........      70,000         3,089    
(b)Silicon Graphics Inc. ............     117,300         3,622    
   Sybase Inc. ......................      40,000         2,080    
                                                       --------    
                                                         39,077    
CONSUMER PRODUCTS AND SERVICES--9.3%                              
   Coca-Cola Company.................     180,000         9,270    
   ConAgra Inc. .....................     100,000         3,125    
   CPC International Inc.............     164,500         8,760    
(b)CUC International Inc. ...........      75,300         2,522    
   Danka Business Systems, ADR.......     140,200         3,032    
   Gillette Company..................      60,000         4,485    
   Manpower Inc. ....................      80,000         2,250    
   Newell Co. .......................     143,200         3,007    
   Philip Morris Companies, Inc. ....     117,800         6,774    
   Phillips N. V. ...................      57,100         1,691    
   Procter & Gamble Company..........      79,200         4,910    
   Sara Lee Corporation..............     200,000         5,050    
                                                       --------    
                                                         54,876    
DRUGS AND HEALTH CARE--10.3%                                      
   Abbott Laboratories...............      99,900         3,259    
   Columbia/HCA Healthcare                                         
     Corporation.....................     100,400         3,665    
   Forest Laboratories, Inc. ........     133,500         6,224    
(b)Foundation Health Corp. ..........      55,000         1,705    
(b)Genzyme Corporation...............      80,000         2,520    
(b)Genzyme Tissue Repair.............      10,800            40    
(b)Integrated Health Services........     132,200         5,222    
   Johnson & Johnson.................     100,000         5,475    
   Eli Lilly & Company...............      80,000         5,250    
   Merck & Company Inc. .............     110,200         4,201    
(b)Mid-Atlantic Medical Services.....      36,300           830    
   Pfizer Inc. ......................      90,000         6,953    
   Roche Holdings Genuss Chein.......         298         1,443    
   Schering-Plough Corporation.......      29,000         2,146    
   Smithkline Beecham, PLC...........     140,000         4,795    
   United Healthcare Corporation.....      30,000         1,354    
   U. S. Healthcare Inc. ............      51,300         2,116    
   Warner-Lambert Company............      40,100         3,088    
                                                       --------    
                                                         60,286    
</TABLE>                                                          
    
                                      16
<PAGE>   19
 
KEMPER INVESTORS FUND
 
TOTAL RETURN PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                         Number                          
                                       of Shares     Value               
                                       ----------   --------             
<S>                                    <C>          <C>                  
ENERGY AND RELATED SERVICES--2.7%                                       
   British Petroleum Co., PLC........     271,806   $  1,809             
   Enron Corporation.................     152,200      4,642             
   Manweb, PLC.......................      40,000        544             
   Mobil Corporation.................      65,000      5,476             
   Noble Affiliates Inc..............     100,000      2,475             
   Repsol, S.A. .....................      34,000        922             
                                                    --------             
                                                      15,868             
ENTERTAINMENT AND RESTAURANTS--3.3%                                     
(b)Brinker International, Inc. ......     155,200      2,813             
   Cracker Barrel Old Country                                            
   Store.............................      20,800        385             
   Walt Disney Company...............     100,000      4,612             
   Genting Berhad....................      42,000        360             
(b)Lonestar Steakhouse and Saloon,                                    
     Inc.............................      53,100      1,062             
   McDonald's Corporation............     150,000      4,388             
   PolyGram N.V......................      12,800        595             
(b)President Riverboat Casinos                                        
   warrants..........................       3,000          3             
(b)Promus Companies, Inc. ...........     160,000      4,960             
                                                    --------             
                                                      19,178             
ENVIRONMENTAL PRODUCTS--.6%                                             
   WMX Technologies, Inc.............     140,000      3,675             

FINANCIAL SERVICES AND REAL                                             
ESTATE--8.5%                                                            
   Aalberts Industries...............      11,600        562             
   American International Group,                                         
     Inc.............................      60,000      5,880             
   Banc One Corporation..............      80,000      2,030             
   Bankers Life Holding 
     Corporation.....................      99,600      1,892             
   Boatmen's Bancshares, Inc. .......     120,100      3,258             
   Conseco Inc. .....................      60,100      2,592             
   DBS Land Ltd. ....................     122,000        363             
   Equity Residential Properties                                         
     Trust...........................     140,000      4,200             
   Federal National Mortgage                                             
     Association.....................      30,000      2,186             
   First USA Inc. ...................      77,300      2,541             
   General Re Corporation............      15,000      1,856             
   Health Care Property                                                  
     Investments.....................      40,000      1,205             
   Lloyds Bank PLC...................      55,000        475             
   MBNA Corporation..................     146,500      3,424             
   MGIC Investment Corporation.......      68,600      2,272             
   Meditrust.........................     112,400      3,400             
   NationsBank Corporation...........      80,000      3,610             
   Nationwide Health Properties......      50,300      1,798             
   Sanyo Shinpan Finance Co. ........      18,300      1,763             
   Siam City Bank....................     602,200        768             
                                                                         
<CAPTION>                                                               
                                         Number                          
                                       of Shares     Value               
                                       ----------   --------             
<S>                                    <C>          <C>                  
   Tokio Marine & Fire Insurance Co.                                     
     Ltd. ...........................     153,000   $  1,871             
   Veba, A.G. .......................       4,800      1,672             
   Wai Kee Holdings, with                                                
     warrants expiring 1996..........   1,620,000        380             
                                                    --------             
                                                      49,998             
MANUFACTURING--5.3%                                                     
   Amada, Co., Ltd...................     122,000      1,529             
   Atlas Copco.......................     136,000      1,738             
   Corning Glass Company.............     160,000      4,780             
   General Electric Company..........      93,600      4,774             
   Georgia-Pacific Corporation.......      40,000      2,860             
   Honda Motor Co., Ltd. ............      90,000      1,597             
(b)Interco warrants expiring 1999....       3,872          5             
   Keppel Corporation Limited........     156,000      1,327             
   Magna International, Inc. "A".....      28,100      1,078             
   MASISA, ADR.......................      23,500        599             
   Matsushita Electric Industrial                                        
     Co., Ltd. ......................      71,000      1,167             
   Nucor Corporation.................      55,900      3,102             
   Sandvik AB, "B"...................      35,040        559             
   Sharp Corporation.................     171,000      3,085             
   Tokyo Electron....................      59,000      1,833             
   Universal Robina Corp. ...........     119,500         84             
(b)Zebra Technologies Corporation....      24,000        938             
                                                    --------             
                                                      31,055             
RETAILING AND DISTRIBUTION--5.0%                                        
   Alco Standard Corporation.........      90,000      5,647             
(b)Ann Taylor Stores Corp. ..........      70,000      2,406             
   Carrefour, S.A. ..................       2,300        953             
   Dayton Hudson Corporation.........      13,200        934             
(b)Goldlion Holdings, warrants                                        
     expiring 1995 and 1996..........     325,000          2             
   Hagemeyer N.V. ...................       7,100        579             
   Helig-Meyers Company..............      41,900      1,058             
   Home Depot Inc. ..................       4,400        202             
   Keiyo Company, Ltd. ..............      91,000      1,386             
(b)Kohl's Corporation................      99,400      3,951             
   May Department Stores.............      60,000      2,025             
   Nordstrom.........................      40,000      1,680             
(b)Thrifty Payless Holdings..........      47,500        190             
(b)Toys "R" Us, Inc..................      79,600      2,428             
(b)Viking Office Products............      61,700      1,890             
   Wal-Mart Stores, Inc. ............     191,600      4,072             
                                                    --------             
                                                      29,403             
</TABLE>                                                                
                                                                        
                                      17
<PAGE>   20
 
KEMPER INVESTORS FUND
 
TOTAL RETURN PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                         Number                    
                                       of Shares                   
                                           or                      
                                       Principal                   
                                         Amount      Value         
                                       ----------   --------       
<S>                                    <C>          <C>            
TRANSPORTATION--1.8%                                              
   Conrail Inc.......................     110,000   $  5,555       
   Road Builders Holdings............      97,000        528       
(b)TNT, Ltd., "A"....................     306,800        524       
   Van Ommeren.......................      38,500      1,012       
(b)Wisconsin Central                                            
     Transportation Corporation......      70,500      2,908       
                                                    --------       
                                                      10,527       
                                                    --------       
TOTAL COMMON STOCKS--60.0%                                        
   (Cost: $335,228)                                  352,476       

PREFERRED STOCKS                                                  
   Conseco Inc., convertible.........      44,200      1,801       
   First USA Inc.....................      73,000      2,382       
   K-III Communications Inc., PIK,...      15,223      1,462       
   RJR Nabisco, Inc..................     400,000      2,400       
                                                    --------       
TOTAL PREFERRED STOCKS--1.4%                                      
   (Cost: $8,998)....................                  8,045       

CORPORATE OBLIGATIONS                                             

BROADCASTING, CABLE SYSTEMS AND                                   
PUBLISHING--4.3%                                                
   Cablevision Systems Corporation,                                
     10.75%, 2004....................  $    1,500      1,500       
(a)Cencall Communications,                                      
     10.125%, 2004...................       1,240        428       
   Century Communications Corp.,                                   
     9.50%, 2000.....................       5,600      5,376       
   Cinemark USA, Inc.,                                             
     12.00%, 2002....................         570        593       
   Comcast Corporation,                                            
     10.625%, 2012...................       1,770      1,735       
   Continental Cablevision, Inc.,                                  
     9.50%, 2013.....................       2,000      1,830       
   Paging Network Inc.,                                            
     8.875%, 2006....................       5,910      4,684       
   Rogers Cantel,                                                  
     11.125%, 2002...................       1,720      1,754       
   3Com Corporation, convertible,                                  
     10.25%, 2001....................       2,000      2,110       
   Univision TV, 11.75%, 2001........       4,000      4,160       
   Webcraft Technology,                                            
     9.375%, 2002....................         930        807       
                                                    --------       
                                                      24,977       
                                                                   
<CAPTION>                                                         
                                       Principal                   
                                         Amount      Value         
                                       ----------   --------       
<S>                                    <C>          <C>            
COMPUTER SOFTWARE AND                                             
ELECTRONICS--.6%                                                  
   Solectron Corporation,                                          
     convertible,                                                  
     zero coupon, 2012...............  $    6,235   $  3,577       

CONSUMER PRODUCTS AND SERVICES--.6%                               
   Color Tile Inc., 10.75%, 2001.....       1,500      1,313       
   Sweetheart Cup Company Inc.,                                    
     10.50%, 2003....................       2,150      2,010       
                                                    --------       
                                                       3,323       
DRUGS AND HEALTH CARE--.5%                                        
   Elan Corporation, PLC,                                          
     convertible, zero coupon,                                     
     2012............................       8,000      3,240       

ENERGY AND RELATED SERVICES--2.4%                                 
   Baker Hughes, convertible,                                      
     zero coupon, 2008...............         682        370       
   Burlington Motor Holdings Inc.,                                 
     11.50%, 2003....................       3,200      2,944       
   Coastal Corporation,                                            
     11.75%, 2006....................       2,250      2,461       
   Dual Drilling, 9.875%, 2004.......       3,415      3,039       
   Gulf Canada Resources, Ltd.,                                    
     9.25%, 2004.....................       5,590      5,157       
                                                    --------       
                                                      13,971       
ENTERTAINMENT--1.8%                                               
   Argosy Gaming Company Inc.,                                     
     convertible, 12.00%, 2001.......       2,930      2,754       
   Time Warner, Inc.                                               
(a)  11.00%, 2002                           1,450      1,370       
     8.375%, 2033....................       8,000      6,524       
                                                    --------       
                                                      10,648       
ENVIRONMENTAL SERVICES--.1%                                       
   WMX Technologies, Inc.,                                         
     convertible, zero coupon,                                     
     2012............................         820        289       

FINANCIAL SERVICES, HOMEBUILDERS AND                              
REAL ESTATE--.4%                                                  
   American Reinsurance Corporation,                               
     10.875%, 2004...................       1,250      1,322       
   Del E. Webb Corp., 9.00%, 2006....         900        684       
</TABLE>                                                          
 
                                      18
<PAGE>   21
 
KEMPER INVESTORS FUND
 
TOTAL RETURN PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                       Principal                 
                                         Amount      Value       
                                       ----------   --------     
<S>                                    <C>          <C>          
   Schuler Homes Inc., convertible,                              
     6.50%, 2003.....................  $       43   $     37     
   US Banknote Corporation, 10.375%,                             
     2002............................         550        468     
                                                    --------     
                                                       2,511     
MANUFACTURING--4.5%                                             
   American Standard, Inc.,                                      
     10.875%, 1999...................       4,450      4,506     
   Carbide/Graphite Group, Inc.,                                 
     11.50%, 2003....................       2,450      2,481     
   Cemex, convertible, 4.25%, 1997...       1,167        922     
   FFM, 5.00%, 2001..................       2,833      2,960     
   Foamex L.P., 11.25%, 2002.........       4,500      4,253     
(a)Gaylord Container Corporation,                             
     12.75%, 2005....................       3,180      2,814     
   Hasbro Inc., convertible,                                     
     6.00%, 1998.....................       1,710      1,810     
   Owens-Illinois, Inc.                                          
     11.00%, 2003....................       3,500      3,631     
     9.75%, 2004.....................       2,100      1,985     
   Riverwood International                                       
     Corporation, 11.25%, 2002.......         650        668     
   TriMas Corp., convertible, 5.00%,                             
     2003............................         500        490     
                                                    --------     
                                                      26,520     
RETAILING AND                                                   
DISTRIBUTION--2.2%                                              
   Home Depot, Inc., convertible,                                
     4.50%, 1997.....................       6,173      7,400     
   Starbucks Corp., convertible,                                 
     4.50%, 2003.....................         430        435     
   Thrifty Payless                                               
     11.75%, 2003....................       3,380      3,312     
     12.25%, 2004....................       1,800      1,701     
                                                    --------     
                                                      12,848     
<CAPTION>                                                       
                                       Principal                 
                                         Amount      Value       
                                       ----------   --------     
<S>                                    <C>          <C>          
TOTAL CORPORATE                                                 
OBLIGATIONS--17.4%                                              
   (Cost: $107,953)..................               $101,904     

MONEY MARKET INSTRUMENTS                                        
   Yield--5.92% to 6.19%                                         
   Due--January 1995                                             
     American Honda Finance                                      
       Corporation...................  $    6,800      6,781     
     Caterpillar Financial Services                              
       Corporation...................      11,000     10,944     
     ConAgra, Inc. ..................      10,000      9,960     
     Corporate Receivables                                       
       Corporation...................       7,000      6,990     
     Freedom Asset Funding                                       
       Corporation...................       5,023      5,007     
     PHH Corporation.................      11,000     10,969     
     Xerox Credit Corporation........      10,000      9,970     
                                                    --------     
TOTAL MONEY MARKET                                              
INSTRUMENTS--10.3%                                              
   (Cost: $60,630)....................                 60,621     
                                                                 
TOTAL INVESTMENTS--99.8%                                        
   (Cost: $573,416)...................                585,575     
                                                                 
CASH AND OTHER ASSETS, LESS                                     
LIABILITIES--.2%.....................                  1,019     
                                                    --------     
                                                                 
NET ASSETS--100%.....................               $586,594     
                                                    ========     
</TABLE>                                                        
 
                                      19
<PAGE>   22
 
NOTES TO TOTAL RETURN PORTFOLIO OF INVESTMENTS
 
(a)  Deferred interest obligation; currently zero coupon under the terms of the
     initial offering.
 
(b) Non-income producing security.
 
"PIK" denotes that interest or dividends are paid in kind.
 
Based on the cost of investments of $573,416,000 for federal income tax purposes
at December 31, 1994, the aggregate gross unrealized appreciation was
$36,114,000, the aggregate gross unrealized depreciation was $23,955,000 and the
net unrealized appreciation of investments was $12,159,000.
 
See accompanying notes to financial statements.
 
                                      20
<PAGE>   23
 
KEMPER INVESTORS FUND
 
HIGH YIELD PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                          Principal                   
                                           Amount       Value         
                                          ---------    --------       
<S>                                       <C>          <C>            
   GOVERNMENT OBLIGATIONS--1.4%                                      
      (Cost: $3,194)                                                  
      U.S. Treasury Notes,                                            
        7.375%-8.625%, 1997.............. $  3,100     $  3,109       
                                                                      
   CORPORATE OBLIGATIONS                                             
   BROADCASTING, CABLESYSTEMS AND                                    
   PUBLISHING--11.0%                                                 
      Act III Broadcasting, Inc., 9.625%,                             
        2003.............................      330          307       
      Adelphia Communications                                         
        Corporation,                                                  
        12.50%, 2002.....................    2,310        2,160       
      Affinity Group, Inc., 11.50%,                                   
        2003.............................    1,310        1,245       
   (b)Bell Cablemedia PLC, 11.95,                                  
        2004.............................    1,100          594       
      Big Flower Press, Inc., 10.75%,                                 
        2003.............................    1,900        1,767       
      Cablevision Industries Corporation,                             
        10.75%, 2002.....................    2,355        2,343       
      Cablevision Systems Company                                     
        9.875%, 2013.....................      775          698       
        9.875%, 2023.....................      270          238       
      Century Communications Corporation                              
        9.50%, 2000......................      960          922       
        9.75%, 2002......................    1,320        1,267       
        11.875%, 2003....................      100          104       
      Comcast Corporation                                             
        9.50%, 2008......................    1,330        1,204       
        10.625%, 2012....................    1,850        1,813       
      Continental Cablevision, Inc.                                   
        11.00%, 2007.....................      275          279       
        9.50%, 2013......................    2,995        2,740       
      Katz Corporation, 12.75%, 2002.....      960          984       
   (b)Neodata Services, 12.00%, 2003.....    1,210          944       
      Outdoor Systems, 10.75%, 2003......      900          810       
      Sinclair Broadcast Group, Inc.,                                 
        10.00%, 2003.....................    1,320        1,234       
      Summit Communications Group, Inc.,                              
        10.50%, 2005.....................    1,200        1,221       
      Univision TV, 11.75%, 2001.........      370          385       
   (b)Videotron Holdings PLC,                                      
        11.12%, 2004.....................      850          442       
      Webcraft Technologies, Inc.,                                    
        9.375%, 2002.....................      640          555       
                                                       --------       
                                                         24,256       
   CHEMICALS--3.1%                                                   
      Agriculture, Mining and Chemicals,                              
        Inc., 10.75%, 2003...............      700          706       
      Arcadian Partners, L.P., 10.75%,                                
        2005.............................    2,150        2,043       
                                                                      
<CAPTION>                                                         
                                          Principal                   
                                           Amount       Value         
                                          ---------    --------       
<S>                                       <C>          <C>            
      Atlantic Group, Inc., 11.00%,                                   
        2003............................. $  1,135     $  1,095       
      G-I Holdings Inc., zero coupon,                                 
        1998.............................    1,850        1,133       
   (b)Harris Chemical North America,                                  
        Inc., 10.25%, 2001...............    1,100          913       
      Huntsman Corporation,                                           
        10.625%, 2001....................      260          267       
      Rexene Corporation, 11.75%, 2004...      590          605       
                                                       --------       
                                                          6,762       
   COMMUNICATIONS--7.3%                                              
      Amerisource, PIK, 11.25%, 2005.....      991        1,003       
   (b)Call-Net Enterprises, 13.25%,                                
        2004.............................    1,730          913       
   (b)Celcarbide S.A., 13.50%, 2004......    1,000          848       
   (b)Cellular, Inc., 11.75%, 2003.......      625          406       
   (b)CenCall Communications Corp.,                                
        11.125%, 2004....................      170           59       
      Comdata Network, Inc.,                                          
        12.50%, 1999.....................    1,250        1,319       
   (b)Dial Call Communications,                                    
        10.25%, 2005.....................      450          128       
   (b)EchoStar Communications                                      
        Corporation Units, 12.875%,                                   
        2004.............................    5,135        2,657       
      Paging Network, Inc.                                            
        11.75%, 2002.....................    1,530        1,522       
        8.875%, 2006.....................      830          658       
   (b)PanAmSat, L.P., 11.375%, 2003......    2,275        1,411       
      Rogers Cantel, 11.125%, 2002.......    1,970        2,009       
      Rogers Communications Inc.,                                     
        10.875%, 2004....................      300          303       
      USA Mobile Communications, 14.00%,                              
        2004.............................    1,130        1,155       
      Viacom International, Inc.,                                     
        8.00%, 2006......................    1,840        1,578       
                                                       --------       
                                                         15,969       
   CONSTRUCTION MATERIALS--5.5%                                      
      American Standard Inc.                                          
        10.875%, 1999....................    2,315        2,344       
        11.375%, 2004....................      500          513       
        9.25%, 2016......................      260          238       
   (b)Building Materials, 11.75%, 2004...    2,695        1,348       
      FM Holdings, 13.125%, 2005.........      850        1,139       
      Nortek, 9.875%, 2004...............    1,100          968       
      Triangle Pacific Corp., 10.50%,                                 
        2003.............................    2,415        2,300       
(c)(d)Walter Industries, Inc.,                                        
        14.625%, 1995....................      825        1,539       
</TABLE>                                                         
    
                                      21
<PAGE>   24
 
KEMPER INVESTORS FUND
 
HIGH YIELD PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                       Principal                 
                                        Amount       Value       
                                       ---------    --------     
<S>                                    <C>          <C>          
   Waxman Industries Inc.                                        
     13.75%, 1999..................... $    944     $    868     
(b)  12.75%, 2004, with warrants                              
     expiring 2004....................    1,644          781     
                                                    --------     
                                                      12,038     
CONSUMER PRODUCTS AND SERVICES--8.1%                            
   Allied Waste Industry, 10.75%,                                
     2004.............................      430          419     
   Americold Corporation, 11.50%, 2005      665          608     
   Bally's Park Place Funding, Inc.,                             
     9.25%, 2004......................    2,780        2,377     
   Beatrice Foods Inc., 12.00%,                                  
     2001.............................    2,000        1,970     
   Borg-Warner Corporation,                                      
     9.125%, 2003.....................      410          351     
   Cinemark USA, Inc., 12.00%, 2002...      940          978     
   Corporate Express, 9.625%, 2004....    2,400        2,166     
(b)Dr. Pepper Bottling Holdings, Inc.,
     11.625%, 2003....................      870          605     
   Empress River Casino, 10.75%,                                 
     2002.............................    1,090          997     
   Merisel Inc., 12.50%, 2004.........    1,370        1,350     
   Mid-American Waste Systems Inc.,                              
     12.25%, 2003.....................    1,270        1,283     
   Raci Acquisition, Corp. 9.50%,                                
     2003.............................      630          532     
   Santa Fe Hotel, Inc., 11.00%,                                 
     2000, with warrants expiring                                
     1996.............................      565          485     
   Trump Taj Mahal Funding, PIK,                                 
     11.35%, 1999.....................    5,445        3,628     
                                                    --------     
                                                      17,749     
DRUGS AND HEALTH CARE--2.8%                                     
   Abbey Healthcare Group Inc., 9.50%,                           
     2002.............................      770          689     
   Charter Medical Corporation,                                  
     11.25%, 2004.....................    1,500        1,504     
   Dade International, 13.00%, 2005...      840          842     
   Ornda Healthcorporation                                       
     12.25%, 2002.....................    1,505        1,610     
     11.375%, 2004....................    1,560        1,601     
                                                    --------     
                                                       6,246     
ENERGY AND RELATED SERVICES--3.5%                               
   Dual Drilling Company, 9.875%,                                
     2004.............................    1,000          890     
   Empire Gas Corporation,                                       
     convertible, 7.00%, 2004.........    1,500        1,163     
                                                                 
<CAPTION>                                                       
                                       Principal                 
                                        Amount       Value       
                                       ---------    --------     
<S>                                    <C>          <C>          
   Global Marine, 12.75%, 1999........ $    280     $    301     
(c)Great Bay Power, PIK, 17.50%,                              
     1992 and 1993....................    1,553          152     
   Gulf Canada Resources Limited,                                
     9.25%, 2004......................      350          323     
(b)Mesa Capital Corporation,                                  
     12.75%, 1998.....................    2,405        2,080     
   Rowan, 11.875%, 2001...............      470          494     
   TransTexas Gas Corporation, 10.50%,                           
     2000.............................    1,980        1,891     
   Trident NGL, Inc., 10.25%, 2003....      500          501     
                                                    --------     
                                                       7,795     
FINANCIAL SERVICES, HOME BUILDING AND                           
REAL ESTATE--4.5%                                             
   Continental Homes Holding, 12.00%,                            
     1999.............................    1,400        1,365     
   Del E. Webb Corp., 9.00%, 2006.....      300          228     
   Forecast Group L.P.,                                          
     11.375%, 2000....................      250          168     
(a)Great America Holdings,                                    
     11.00%, 1998.....................      675          679     
   K. Hovnanian Enterprises, Inc.                                
     11.25%, 2002.....................    1,318        1,120     
     9.75%, 2005......................      600          445     
   J.M. Peters, 12.75%, 2002, with                               
     warrants expiring 2004...........      460          430     
   Kaufman and Broad Home Corporation,                           
     9.375%, 2003.....................    1,410        1,227     
   NVR, Inc., 11.00%, 2003............    1,460        1,226     
   Oriole Homes Corp., 12.50%, 2003...      480          432     
   Presley Companies,                                            
     12.50%, 2001.....................    1,400        1,246     
   Schuler International, 10.875%,                               
     2004.............................      600          613     
   Toll Corp.                                                    
     10.50%, 2002.....................      180          166     
     9.50%, 2003......................      620          527     
                                                    --------     
                                                       9,872     
MANUFACTURING, METALS AND                                       
MINING--21.3%                                                   
   Aftermarket Technology,                                       
     12.00%, 2004.....................      660          680     
   Allison Engine, 10.00%, 2003.......      960          984     
   Amstar Corporation, 11.375%,                                  
     1997.............................    2,744        2,703     
   BE Aerospace, 9.75%, 2003..........      780          737     
   Berry Plastics Unit, 12.25%, 2004,                            
     with warrants expiring 1998......      880          862     
</TABLE>                                                       
 
                                      22
<PAGE>   25
 
KEMPER INVESTORS FUND
 
HIGH YIELD PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                       Principal                   
                                        Amount       Value         
                                       ---------    --------       
<S>                                    <C>          <C>            
   Bluebird Body Company,                                          
     11.75%, 2002..................... $  1,480     $  1,495       
   Carbide/Graphite Group, Inc.,                                   
     11.50%, 2003.....................      465          471       
   Chrysler Corp, 10.95%, 2017........    1,430        1,556       
   Computervision Corporation                                      
     10.875%, 1997....................      400          372       
     11.375%, 1999....................      700          581       
     convertible 8.00%, 1999..........       50           30       
(b)Eagle Industries, Inc., 10.50%,                              
     2003.............................    2,870        1,865       
   Essex Group, Incorporated, 10.00%,                              
     2003.............................      900          841       
   Exide Corporation                                               
     10.75%, 2002.....................      580          594       
(b)  12.25%, 2004.....................    1,830        1,331       
   Fairchild Corporation                                           
     12.00%, 2001.....................    2,690        2,260       
     13.00%, 2007.....................      339          288       
   Fairchild Industries, 12.25%,                                   
     1999.............................    1,090        1,063       
   Fairfield Manufacturing Company,                                
     11.375%, 2001....................      830          780       
   Federal Industries, Ltd.,                                       
     10.25%, 2000.....................      195          183       
   Foamex L.P.,                                                    
     11.25%, 2002.....................      860          813       
     11.875%, 2004....................    1,870        1,786       
(b)Foamex-JPS Automotive L.P.,                                  
     13.50%, 2004.....................      940          494       
   Great Dane Holdings, 12.75%,                                    
     2001.............................    2,255        2,232       
   GS Technologies, 12.00%, 2004......    1,000          991       
   Jordan Industries, 10.375%, 2003...      750          668       
   Earle M. Jorgensen Co.,                                         
     10.75%, 2000.....................    1,085        1,042       
   K & F Industries, Inc.                                          
     13.75%, 2001.....................    4,770        4,365       
     11.875%, 2003....................      600          588       
(a)Lehman Promissory Note (K&F),                                
     6.125%, 1997.....................      400          366       
   Lear Seating, 8.25%, 2002..........      250          221       
   Newflo Corporation, 13.25%, 2002...    1,050        1,040       
   Owens-Illinois, Inc.                                            
     9.95%, 2004......................    3,040        2,888       
     9.75%, 2004......................    2,150        2,032       
   PACE Industries Inc., 10.625%,                                  
     2002.............................    1,020          913       
   Penda Industries, Inc., 10.75%,                                 
     2004.............................      650          592       
(b)Polymer Group, Inc., 12.25%,                                 
     2002.............................      820          820       
   Rexnord Inc., 11.875%, 1999........      700          658       
                                                                   
<CAPTION>                                                         
                                       Principal                   
                                        Amount       Value         
                                       ---------    --------       
<S>                                    <C>          <C>            
   Sequa Corporation, 9.375%, 2003.... $    790     $    662       
   Thermadyne Industries, Inc.                                     
     10.25%, 2002.....................    1,360        1,306       
     10.75%, 2003.....................    1,726        1,631       
   Unisys Corporation                                              
     13.50%, 1997.....................      540          579       
     8.875%, 1997.....................      315          309       
                                                    --------       
                                                      46,672       
PAPER AND FOREST                                                  
PRODUCTS--5.3%                                                    
   Container Corporation of America,                               
     11.25%, 2004.....................    1,490        1,523       
   Gaylord Container Corporation                                   
     11.50%, 2001.....................      520          538       
(b)  12.75%. 2005.....................    1,585        1,403       
   Maxxam Group Inc.                                               
(b)  12.25%, 2003.....................      585          336       
     11.25%, 2003.....................      450          423       
   Riverwood International                                         
     Corporation, 11.25%, 2002........      890          914       
   Stone-Consolidated Corporation,                                 
     10.25%, 2000.....................    1,100        1,078       
   Stone Container Corporation                                     
     12.625%, 1998....................      500          526       
     9.875%, 2001.....................      275          261       
     10.75%, 2002.....................    2,810        2,799       
   Sweetheart Cup Company Inc.,                                    
     10.50%, 2003.....................      900          842       
   S. D. Warren Co., 12.00%, 2004.....      970          999       
                                                    --------       
                                                      11,642       
RETAILING--12.8%                                                  
   Color Tile, Inc., 10.75%, 2001.....    2,470        2,161       
(b)Finlay Enterprises Inc., 12.00%,                             
     2005.............................      360          207       
   Finlay Fine Jewelry Corporation,                                
     10.625%, 2003....................      580          531       
   Flagstar Companies                                              
     10.75%, 2001.....................      200          187       
     10.875%, 2002....................    1,500        1,401       
   Food 4 Less Supermarket                                         
     10.45%, 2000.....................    1,090        1,071       
     13.75%, 2001.....................    1,130        1,212       
   Grand Union Company,                                            
     12.25%, 2002.....................    4,050        1,333       
(b)International Semi-Tech                                      
     Microelectronics Inc.,                                        
     11.50%, 2003.....................    3,530        1,518       
</TABLE>                                                         
 
                                      23
<PAGE>   26
 
KEMPER INVESTORS FUND
 
HIGH YIELD PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                          Principal               
                                           Amount                 
                                          or Number               
                                          of Shares        Value     
                                          ---------       --------   
<S>                                       <C>             <C>        
      Kroger Company, 9.25%, 2005........ $    690        $    676   
      Orchard Supply Hardware                                        
        Corporation, 9.375%, 2002........    1,740           1,449   
      P & C Food Markets, 11.50%, 2001...      910             928   
      Pamida Holdings, 11.75%, 2003......    1,950           1,882   
      Pathmark Stores                                                
        12.625%, 2002....................    1,000           1,004   
        11.625%, 2002....................    1,655           1,597   
      Penn Traffic Company, 9.625%,                                  
        2005.............................    2,050           1,763   
      Ralphs Grocery Company,                                        
        9.00%, 2003......................    1,430           1,387   
      Service Merchandise Company Inc.,                              
        9.00%, 2004......................    2,255           1,714   
      Southland Corporation, 5.00%,                                  
        2003.............................    5,269           3,557   
      Specialty Retailers, Inc.,                                     
        11.00%, 2003.....................      930             842   
      Thrifty Payless, Inc.                                          
        11.75%, 2003.....................    1,080           1,058   
        12.25%, 2004.....................      620             586   
                                                          --------   
                                                            28,064   
   TRANSPORTATION--1.9%                                             
      Burlington Motor Holdings Inc.,                                
        11.50%, 2003.....................    1,350           1,242   
      OMI Corp., 10.25%, 2003............    1,625           1,406   
      SPX Corporation, 11.75%, 2002......      690             687   
   (b)Transtar Holdings, L.P.,                                    
        13.375%, 2003....................    1,411             730   
                                                          --------   
                                                             4,065   
                                                          --------   
   TOTAL CORPORATE                                                  
   OBLIGATIONS--87.1%                                               
      (Cost: $205,080)...................                  191,130   
                                                                     
   PREFERRED AND COMMON STOCKS                                      
   (a)Citicasters........................   37,130 shs.        919  
   (c)Computervision Corporation.........  162,160             628   
   (c)Finlay Enterprises Inc.............      720              11   
                                                                     
<CAPTION>                                                        
                                          Number of                  
                                          Shares or                  
                                          Principal                  
                                           Amount          Value     
                                          ---------       --------   
<S>                                       <C>             <C>           
   (c)Gaylord Container Corporation                               
        common stock.....................   10,451        $     95   
        warrants expiring 1996...........  218,579           1,585   
   (c)Gillett Holdings, Inc..............   42,066             883   
   (c)Insilco Corp.......................    9,835             245   
      K-III Communications, Inc., PIK,                               
        preferred........................    2,077             199   
(a)(c)Peebles, Inc.......................   32,859          4   52   
      Petrolane Gas Service..............   24,990             331   
   (c)Specialty Equipment Companies,                              
        Inc..............................   13,000             132   
   (c)Thrifty Payless, Inc...............   31,540             126   
   (c)UGI, Inc...........................    4,249               5   
                                                          --------   
   TOTAL PREFERRED AND COMMON                                       
   STOCKS--2.6%                                                     
          (Cost: $7,711).................                    5,611   
                                                                     
   MONEY MARKET INSTRUMENTS                                         
    Yield--6.00% to 6.35%                                            
    Due--January and February 1995                                   
      American Home Products............. $  6,500           6,486   
      Bridgestone/Firestone..............    5,700           5,691   
      ConAgra, Inc.......................    1,500           1,494   
      Enserch Corporation................    6,000           5,997   
      Sierra Funding Corp................    2,552           2,534   
      Xerox Credit Corp..................    2,000           1,994   
                                                          --------   
   TOTAL MONEY MARKET                                               
   INSTRUMENTS--11.0%                                               
          (Cost: $24,199)................                   24,196   
                                                          --------   
                                                                     
   TOTAL INVESTMENTS--102.1%                                        
          (Cost: $240,184)...............                  224,046   
                                                                     
   LIABILITIES, LESS CASH                                           
   AND OTHER ASSETS--(2.1)%..............                   (4,631)  
                                                          --------   
                                                                     
   NET ASSETS--100%......................              $   219,415   
                                                          ========   
</TABLE>                                                        
    
See accompanying notes to portfolio of investments.   
   
                                      24
<PAGE>   27
 
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 December 31, 1994. At December 31, 1994, the value of the Portfolio's
    restricted securities was $2,416,000, which represented 1.10% of net assets.
 
<TABLE>
<CAPTION>
                                                                                              Principal
                                                                                                Amount
                                                                      Date of                 or Number               Unit
                  Security Description                              Acquisition               of Shares               Cost
     ----------------------------------------------------------------------------------------------------------------------
     <S>                                                    <C>                               <C>                   <C>
     ----------------------------------------------------------------------------------------------------------------------
     Great America Holdings, 11.00%, 1998                      July 1990-March 1992            $675,000              $84.15
     ---------------------------------------------------------------------------------------------------------------------- 
     Lehman Promissory Note (K&F), 6.125%, 1997                      July 1994                  400,000               90.75
     ---------------------------------------------------------------------------------------------------------------------- 
     Citicasters, common stock                              November 1989-December 1991          37,130shs.           50.74
     ---------------------------------------------------------------------------------------------------------------------- 
     Peebles Inc., common stock                                July 1989-August 1994             32,859               27.49
     ---------------------------------------------------------------------------------------------------------------------- 
</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.
 
(d) Certain circumstances exist for this non-income producing security which
    cause the market value to exceed the principal amount.
 
"PIK" denotes that interest or dividends are paid in kind.
 
Based on the cost of investments of $240,184,000 for federal income tax purposes
at December 31, 1994, the aggregate gross unrealized appreciation was
$3,099,000, the aggregate gross unrealized depreciation was $19,237,000 and the
net unrealized depreciation of investments was $16,138,000.
 
See accompanying notes to financial statements.
 
                                      25
<PAGE>   28
 
KEMPER INVESTORS FUND
 
EQUITY PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                        Number
                                       of Shares    Value        
                                       ---------   --------      
<S>                                    <C>         <C>           
COMMON STOCKS                                                   
CHEMICALS--2.7%                                                 
   Air Products and Chemicals........    65,000    $  2,901      
   Minerals Technologies.............    50,000       1,463      
   Monsanto Company..................    43,000       3,032      
   Morton International, Inc. .......    49,900       1,422      
                                                   --------      
                                                      8,818      
COMMUNICATIONS AND MEDIA--4.1%                                  
   American Telephone & Telegraph                                
     Company.........................   143,400       7,206      
   Capital Cities/ABC Inc. ..........    18,000       1,534      
   DDI Corporation...................        30         259      
   Harcourt General..................    40,000       1,410      
   Singapore Press Holdings..........     5,000          91      
(a)Technology Resource, Ltd. ........    34,600         110      
(a)Telewest Communications...........     7,000          19      
   Tribune Co........................    25,400       1,391      
(a)Viacom International Inc.                                     
     "A" shares......................     1,992          83      
     "B" shares......................    15,093         613      
     variable common rights..........    24,900          28      
(a)Vodafone Group PLC................    99,900         331      
                                                   --------      
                                                     13,075      
COMPUTER SOFTWARE, ELECTRONIC DATA                              
PROCESSING AND SEMI-CONDUCTORS--10.1%                                          
(a)Cisco Systems, Inc. ..............    37,800       1,328      
(a)Compaq Computer Corporation.......    64,800       2,560      
(a)Compuware.........................    73,000       2,628      
(a)EMC Corporation...................    58,600       1,267      
   First Data Corporation............    48,700       2,307      
   General Motors Corporation, "E"...    63,000       2,426      
   Hewlett Packard Company...........    35,000       3,496      
   Intel Corporation.................    25,000       1,597      
   Linear Technology Corp. ..........    50,000       2,475      
(a)Microsoft Corporation.............    54,000       3,301      
   Motorola Inc. ....................    46,000       2,662      
(a)Oracle Systems Corporation........    35,000       1,544      
(a)Silicon Graphics Inc. ............   119,000       3,674      
(a)Solectron Corporation.............    43,100       1,185      
                                                   --------      
                                                     32,450      
CONSUMER PRODUCTS AND SERVICES--17.6% 
   Campbell Soup Company.............    95,000       4,192      
                                                                 
<CAPTION>                                                       
                                        Number                   
                                       of Shares    Value        
                                       ---------   --------      
<S>                                    <C>         <C>           
   Coca-Cola Co. ....................   128,000    $  6,592      
   ConAgra, Inc. ....................    95,000       2,969      
   Corning Inc. .....................   102,000       3,047      
   CPC International Inc. ...........    84,000       4,473      
(a)CUC International Inc. ...........    65,800       2,204      
   Duracell International Inc. ......    32,600       1,414      
(a)Franklin Quest Inc. ..............    85,200       2,545      
   Gillette Company..................    50,000       3,738      
   Manpower Inc. ....................   155,000       4,359      
   Philip Morris Companies Inc. .....    85,900       4,939      
   Procter & Gamble Company..........   103,000       6,386      
   Sara Lee Corporation..............   120,000       3,030      
   Seagram Company Ltd. .............    75,000       2,213      
   Service Corporation 
     International...................   118,000       3,275      
   UST, Incorporated.................    50,000       1,388      
                                                   --------      
                                                     56,764      
ENERGY AND RELATED SERVICES--2.0%                               
   British Petroleum Co., PLC........    54,200         361      
   Enron Corp. ......................   134,100       4,090      
   Manweb PLC........................    10,000         136      
   Mobil Corporation.................    18,000       1,517      
   Repsol, S.A. .....................     6,900         187      
                                                   --------      
                                                      6,291      
ENTERTAINMENT AND GAMING--2.1%                                  
   Walt Disney Company...............   105,000       4,843      
   Genting Berhad....................     8,000          69      
   PolyGram N.V. ....................     3,000         140      
(a)Promus Companies, Inc.............    55,550       1,722      
                                                   --------      
                                                      6,774      
FINANCIAL SERVICES AND REAL                                     
ESTATE--10.9%                                                   
   Aalberts Industries N.V. .........     2,300         111      
   Bankers Life Holding                                          
   Corporation.......................    50,400         958      
   Boatmen's Bancshares Inc..........   123,000       3,336      
   Conseco, Inc. ....................    47,300       2,040      
   DBS Land Ltd......................    24,000          71      
   Equity Residential Properties                                 
   Trust.............................    45,000       1,350      
   First Financial Management                                    
     Corporation.....................    80,000       4,930      
   First USA Inc.....................    79,400       2,610      
   General Re Corp. .................    34,200       4,232      
   Kansas City Southern                                          
     Industries......................    48,800       1,507      
(a)Lloyds Bank PLC...................    16,000         138      
</TABLE>                                                       
 
                                      26
<PAGE>   29
 
KEMPER INVESTORS FUND
 
EQUITY PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                       Number
                                      of Shares    Value
                                      ---------   --------
<S>                                   <C>         <C>
  MBNA Corporation..................   180,900    $  4,229
  MGIC Investment Corporation.......   138,000       4,571
  NationsBank Corporation...........    63,000       2,843
  Road Builder Holdings.............    19,000         103
  Sanyo Shinpan Finance Co..........     3,700         356
  Siam City Bank....................   120,400         153
  Tokio Marine & Fire
    Insurance Co. Ltd. .............    12,000         147
  Veba, A.G. .......................     1,000         348
  Wai Kee Holdings, with warrants
    expiring 1996...................   318,000          75
  Western National Corporation......    81,500       1,049
                                                  --------
                                                    35,157
 
MANUFACTURING--10.1%
  Amada Co., Ltd. ..................    23,000         288
  AMP, Inc..........................    40,000       2,910
  (a)Applied Materials, Inc. .......    55,000       2,324
  Atlas Copco.......................    25,000         319
  (a)Automotive Industries Holding,
    Inc., "A".......................    33,100         670
  Brown Boveri......................       240         207
  Consolidated Papers, Inc..........     7,000         315
  Emerson Electric Co. .............    69,000       4,312
  General Electric Company..........   115,400       5,885
  W. W. Grainger Inc................    30,000       1,733
  Honda Motor Co., Ltd. ............    20,000         355
  Keppel Corporation Limited........    31,000         264
  Kyocera Corporation...............     4,800         356
  Loral Corporation.................    18,200         689
  MASISA, ADR.......................     4,700         120
  Matsushita Electric Industrial Co.
    Ltd. ...........................    14,000         230
  Newell Co.........................   170,000       3,570
  Nucor Corporation.................    55,800       3,097
  Reynolds & Reynolds...............    65,000       1,625
  Sandvik AB........................     7,060         113
  Sharp Corporation.................    14,000         253
  Tokyo Electron....................    12,000         373
  TriMas Corporation................   125,000       2,500
                                                  --------
                                                    32,508
MEDICAL PRODUCTS AND SERVICES--13.5%
  Abbott Laboratories...............    48,400       1,579
 
<CAPTION>
                                       Number
                                      of Shares    Value
                                      ---------   --------
<S>                                   <C>         <C>
  Columbia/HCA Healthcare Corp. ....    82,000    $  2,993
  (a)Cordis Corporation.............    62,600       3,787
  (a)Forest Laboratories, Inc.......    67,000       3,124
  (a)IDEX Laboratories..............    33,600       1,210
  (a)Integrated Health Services.....    86,200       3,405
  Johnson & Johnson.................    38,900       2,130
  Eli Lilly & Co....................    50,000       3,281
  Medtronic, Inc. ..................    82,000       4,561
  (a)Mid-Atlantic Medical
    Services........................    61,600       1,409
  Pfizer Inc........................    21,800       1,684
  Roche Holdings Genuss Chein.......        57         276
  (a)R. P. Scherer Corporation......    34,000       1,543
  Schering-Plough Corporation.......    57,000       4,218
  United Healthcare Corporation.....    37,000       1,670
  U.S. Healthcare Inc...............    38,000       1,568
  (a)Value Health Inc...............    60,350       2,248
  Warner-Lambert Co. ...............    36,900       2,841
                                                  --------
                                                    43,527
NETWORKING AND TELECOMMUNICATIONS
EQUIPMENT--3.5%
  (a)...............................
  ADC Telecommunications, Inc.          19,600         980
  Allen Group Inc. .................    44,000       1,050
  LM Ericsson "B"...................     6,500         359
  Nokia Telecom.....................     1,936         285
  (a)...............................
  Tellabs, Inc.                         80,200       4,471
  (a)...............................
  3Com Corporation                      80,000       4,125
                                                  --------
                                                    11,270
POLLUTION CONTROL--.8%
  WMX Technologies, Inc. ...........   105,000       2,756
RESTAURANTS--1.4%
  (a)Brinker International, Inc.....    81,100       1,470
  McDonald's Corporation............   100,000       2,925
                                                  --------
                                                     4,395
RETAILING AND DISTRIBUTION--9.4%
  Alco Standard Corporation.........    65,000       4,079
  (a)Ann Taylor Stores Corp.........    46,700       1,605
  Carrefour S.A.....................       650         269
  (a)General Nutrition Centers......    65,100       1,888
  Hagemeyer N.V. ...................     1,400         114
</TABLE>
 
                                      27
<PAGE>   30
 
KEMPER INVESTORS FUND
 
EQUITY PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                        Number               
                                       of Shares             
                                          or                 
                                       Principal             
                                        Amount      Value    
                                       ---------   --------  
<S>                                    <C>         <C>       
   Helig-Meyers Company..............    75,300    $  1,901  
   Home Depot, Inc. .................   136,200       6,265  
   Keiyo Company Ltd.................    18,000         274  
   May Department Stores Company.....    40,000       1,350  
(a)Office Depot, Inc. ...............    59,350       1,424  
(a)Starbucks Corporation.............   126,800       3,487  
(a)Viking Office Products............    54,400       1,666  
   Wal-Mart Stores Inc...............   271,700       5,774  
                                                   --------  
                                                     30,096  
TRANSPORTATION--1.6%                                        
   Conrail Inc. .....................    43,000       2,171  
   TNT Ltd., "A".....................    61,400         105  
   Van Ommeren.......................     7,700         202  
(a)Wisconsin Central Transportation                                          
     Corporation.....................    64,200       2,648  
                                                   --------  
                                                      5,126  
                                                   --------  
                                                             
TOTAL COMMON STOCKS--89.8%                                  
(Cost: $264,981).....................               289,007  

CONVERTIBLE CORPORATE OBLIGATIONS  
   Argosy Gaming Company, Inc.,                              
     12.00%, 2001....................   $   733         689  
   Medaphis Corp., 6.50%, 2000.......     2,000       3,325  
   Solectron Corporation, zero                               
     coupon, 2012....................     2,511       1,441  
   Starbucks Corporation, 4.50%,                             
     2003............................       667         675  
                                                   --------  
                                                             
TOTAL CONVERTIBLE CORPORATE                                 
OBLIGATIONS--1.9%                                           
   (Cost: $4,168)....................                 6,130  
                                                             
<CAPTION>                                                   
                                       Principal             
                                        Amount      Value    
                                       ---------   --------  
<S>                                    <C>         <C>       
                                                             
REPURCHASE AGREEMENT                                        
   Dated 12/30/94 with United                                
   Missouri Bank, N.A., 5.10%,                               
   1/03/95, collateralized by U.S.                           
   Treasury Bonds (Cost: $75) .......   $    75    $     75  

MONEY MARKET INSTRUMENTS                                    
   Yield--5.95% to 6.30%                                     
   Due--January 1995                                         
   American Home Products                                    
     Corporation.....................     2,500       2,495  
   Baxter International Inc..........     6,000       5,989  
   Caterpillar Financial Services                            
     Corporation.....................     5,000       4,985  
   ConAgra, Inc......................     1,400       1,398  
   Greyhound Financial Corporation...     8,160       8,126  
   GTE Corporation...................     1,500       1,499  
   Weyerhaeuser Mortgage Company.....     8,000       7,985  
                                                   --------  
TOTAL MONEY MARKET                                          
INSTRUMENTS--10.1%                                          
   (Cost: $32,481)...................                32,477  
                                                   --------  
TOTAL INVESTMENTS--101.8%                                   
   (Cost: $301,705)..................               327,689  

LIABILITIES, LESS                                           
OTHER ASSETS--(1.8)%.................                (5,981) 
                                                   --------  
                                                             
NET ASSETS--100%.....................              $321,708  
                                                   ========  
</TABLE>                                                   
 
NOTES TO EQUITY PORTFOLIO OF INVESTMENTS
 
(a) Non-income producing security.
 
Based on the cost of investments of $301,705,000 for federal income tax purposes
at December 31,1994, the aggregate gross unrealized appreciation was
$34,770,000, the aggregate gross unrealized depreciation was $8,786,000 and the
net unrealized appreciation of investments was $25,984,000.
 
See accompanying notes to financial statements.
 
                                      28
<PAGE>   31
 
KEMPER INVESTORS FUND
GOVERNMENT SECURITIES PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994
(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--13.5%
    (Cost: $13,129)
    Pass-through Certificates.................................................   7.00%      2025        $11,000     $ 10,006
                                                                                 8.00     2022-2023       3,035        2,913
                                                                                                                    --------
                                                                                                                      12,919
 
  FEDERAL NATIONAL MORTGAGE ASSOCIATION--12.0%
    (Cost: $11,523)
    Pass-through Certificates.................................................   7.50       2025          2,000        1,868
                                                                                 8.00       2025          8,000        7,665
                                                                                 8.50       2025          2,000        1,963
                                                                                                                    --------
                                                                                                                      11,496
 
  GOVERNMENT NATIONAL MORTGAGE ASSOCIATION--53.7%
    (Cost: $53,570)
    Pass-through Certificates.................................................   6.50       2023            992          859
                                                                                 7.00     2023-2024      10,454        9,383
                                                                                 7.50     2022-2024      13,302       12,342
                                                                                 8.00     2016-2024      10,506       10,043
                                                                                 8.50     2016-2023       9,940        9,769
                                                                                 9.00     2016-2020       3,208        3,237
                                                                                 9.50     2013-2022       4,273        4,409
                                                                                10.00       2016          1,311        1,378
                                                                                                                    --------
                                                                                                                      51,420
  U.S. TREASURY SECURITIES--10.4%
    (Cost: $10,027)
    Notes.....................................................................  7.875       2004          9,000        9,025
    Bonds.....................................................................   7.50       2024          1,000          956
                                                                                                                    --------
                                                                                                                       9,981
                                                                                                                    --------
TOTAL U.S. GOVERNMENT OBLIGATIONS--89.6%
    (Cost: $88,249)...........................................................                                        85,816
CORPORATE OBLIGATIONS
    Commonwealth Edison Company, 8.375%, 2006.................................                              500          474
    Home Savings of America, 6.00%, 2000......................................                              500          441
    Hydro-Quebec, 7.375%, 2003................................................                              500          465
                                                                                                                    --------
TOTAL CORPORATE OBLIGATIONS--1.4%
    (Cost: $1,589)............................................................                                         1,380
MONEY MARKET INSTRUMENTS
  Yield--5.95% to 6.30%
  Due--January 1995
    Federal Home Loan Bank....................................................                           10,300       10,220
    Federal Home Loan Mortgage Corporation....................................                           15,000       14,845
    Federal National Mortgage Association.....................................                           10,900       10,828
                                                                                                                    --------
TOTAL MONEY MARKET INSTRUMENTS--37.5%
    (Cost: $35,903)...........................................................                                        35,893
                                                                                                                    --------
TOTAL INVESTMENTS--128.5% (Cost: $125,741)....................................                                       123,089
LIABILITIES, LESS CASH AND OTHER ASSETS--(28.5)%..............................                                       (27,307)
                                                                                                                    --------
NET ASSETS--100%..............................................................                                      $ 95,782
                                                                                                                    ========
</TABLE>
 
NOTE TO GOVERNMENT SECURITIES PORTFOLIO OF INVESTMENTS
 
Based on the cost of investments of $125,741,000 for federal income tax purposes
at December 31, 1994, the aggregate gross unrealized appreciation was $55,000,
the aggregate gross unrealized depreciation was $2,707,000 and the net
unrealized depreciation of investments was $2,652,000.
See accompanying notes to financial statements.
 
                                      29
<PAGE>   32
 
KEMPER INVESTORS FUND
 
INTERNATIONAL PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                          Number of                
                                           Shares      Value       
                                          ---------   --------     
<S>                                       <C>         <C>           
COMMON STOCKS                                                      
CONTINENTAL EUROPE                                                 
                                                                   
FINLAND--3.5%                                                      
   Nokia Telecom.......................     29,600    $  4,359     
     Telecommunications company                                    
                                                                   
FRANCE--4.8%                                                       
   Carrefour S.A. .....................      6,000       2,487     
     Food retailer                                                 
   Peugeot S. A........................      8,000       1,097     
     Automobile company                                            
(a)Renault.............................      3,650         121     
     Automobile company                                            
(a)Technip.............................     16,400         749     
     Oil company                                                   
   Total Cie Francais..................     25,000       1,453     
     Oil company                                                   
                                                      --------     
                                                         5,907     
GERMANY--5.2%                                                      
   Hoechst, A.G. ......................      7,000       1,522     
     Chemicals and pharmaceuticals                                 
       manufacturer                                                
   Mannesmann, A.G.....................      7,600       2,069     
     Diversified manufacturing company                             
   Veba, A.G...........................      8,000       2,787     
     Holding company                                               
                                                      --------     
                                                         6,378     
IRELAND--1.5%                                                      
   Greencore Group PLC.................    150,000         938     
     Food producer                                                 
(a)Waterford Wedgewood PLC.............    972,000         856     
     Fine china/crystal manufacturer                               
                                                      --------     
                                                         1,794     
NETHERLANDS--7.6%                                                  
   Aalberts Industries N.V.............     18,360         889     
     Diversified holding company                                   
   Hagemeyer N.V. .....................     20,937       1,707     
     Trading company                                               
   Phillips N.V........................     90,000       2,666     
     Electronics company                                           
   PolyGram N.V. ......................     55,000       2,558     
     Music recording company                                       
   Van Ommeren.........................     59,500       1,563     
     Shipping company                                              
                                                      --------     
                                                         9,383     
SPAIN--1.0%                                                        
   Repsol S.A..........................     45,000       1,220     
     Oil and gas producer                                          
                                                                   
<CAPTION>                                                          
                                          Number of                
                                           Shares      Value       
                                          ---------   --------     
<S>                                       <C>         <C>           
SWEDEN--4.1%                                                       
   Atlas Copco.........................    100,000    $  1,278     
     Industrial machinery manufacturer                             
   LM Ericsson, "B"....................     49,500       2,737     
     Telecommunications equipment                                  
       manufacturer                                                
   Sandvik AB..........................     62,758       1,009     
     Manufacturing company                                         
                                                      --------     
                                                         5,024     
SWITZERLAND--3.8%                                                  
   Brown Boveri........................      2,000       1,722     
     Engineering and construction                                  
       company                                                     
   Rhone Poulenc Rorer, Inc............        200           7     
     Chemicals and pharmaceutical                                  
       company                                                     
   Roche Holdings Genuss Chein.........        600       2,904     
     Pharmaceuticals company                                       
                                                      --------     
                                                         4,633     
                                                      --------     
TOTAL CONTINENTAL EUROPE--31.5%                         38,698      
                                                                   
PACIFIC REGION                                                     
                                                                   
HONG KONG--1.1%                                                    
   Hutchison Whampoa Ltd. .............    136,000         550     
     Diversified holding company                                   
   Swire Pacific Ltd., 'A'.............     68,000         424     
     Property investment and                                       
       developement company                                        
   Wai Kee Holdings, with warrants                                 
   expiring 1996.......................  1,640,000         385     
     Construction company                                          
                                                      --------     
                                                         1,359     
JAPAN--32.0%                                                       
(a)Amada, Co. Ltd. ....................    100,000       1,253     
     Equipment manufacturer                                        
(a)Autobacs Seven Co., Ltd.,                                       
   warrants expiring 1996..............        137         493     
     Auto supplies and equipment                                   
       retailer                                                    
   Bridgestone Corp. ..................     68,000       1,063     
     Manufacturer of rubber related                                
       products                                                    
   DDI Corp. ..........................        240       2,069     
     Telecommunications company                                    
   Daifuku Co., Ltd. ..................     45,000         758     
     Diversified machinery                                         
   Fujitsu Limited.....................    150,000       1,518     
     Computer components manufacturer                              
   Honda Motor Co. Ltd. ...............     60,000       1,064     
     Automobile company                                            
</TABLE>                                                           
                                                                
                                      30
<PAGE>   33
 
KEMPER INVESTORS FUND
 
INTERNATIONAL PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                        Number of               
                                         Shares      Value      
                                        ---------   --------    
<S>                                     <C>         <C>         
   Japan Medical Supply................   49,000    $    398    
     Medical equipment supplier                                 
   Keiyo Company Ltd. .................   77,000       1,173    
     Retailer                                                   
   Kurita Water Industries.............   30,000         776    
     Water treatment equipment and                              
       chemicals manufacturer                                   
   Kyocera Corporation.................   13,000         963    
     Electronics manufacturer                                   
   Marui Co, Ltd. .....................   40,000         730    
     Department store                                           
   Matsushita Electric Industrial Co.                           
     Ltd...............................   70,000       1,151    
     Consumer electronics and office                            
       equipment manufacturer                                   
   Mitsubishi Heavy Industries.........  250,000       1,904    
     Industrial machinery manufacturer                          
   Mitsui Petrochemical Industries.....   51,000         450    
     Chemical company                                           
   Nippon Paper Industries.............  150,000       1,101    
     Paper company                                              
   Nippondenso Co. Ltd.................   68,000       1,431    
     Automotive components manufacturer                         
       and supplier                                             
   Nissan Motor Co. Ltd................  165,000       1,361    
     Automobile manufacturer                                    
   Nisshin Steel Co., Ltd..............  175,000         881    
     Steel manufacturer                                         
(a)NKK Corp............................  500,000       1,383    
     Steel manufacturer                                         
   Omron Corp. ........................   85,000       1,568    
     Control components manufacturer                            
   Sanyo Shinpan Finance Co. ..........   25,500       2,456    
     Consumer finance company                                   
   Schimachu...........................   30,000       1,079    
     Furniture manufacturer and                                 
       retailer                                                 
   Seven-Eleven Japan Co., Ltd. .......   17,000       1,365    
     Convenience retailer                                       
   Sharp Corporation...................   75,000       1,353    
     Electronics manufacturer                                   
   Shinko Electric.....................   16,600         393    
     Electrical equipment                                       
   Sumitomo Bank, Ltd. ................   65,000       1,238    
     Banking                                                    
   Sumitomo Corporation................  105,000       1,073    
     Holding company                                            
                                                                
<CAPTION>                                                      
                                        Number of               
                                         Shares      Value      
                                        ---------   --------    
<S>                                     <C>         <C>         
   Suzuki Motor Co. Ltd. ..............  115,000    $  1,349    
     Automobile company                                         
   Tanube Seiyaku Company Ltd..........  103,000         875    
     Pharmaceuticals and medical                                
       products manufacturer                                    
   Tokio Marine & Fire Insurance                                
     Co. Ltd. .........................  157,000       1,920    
     Insurance company                                          
   Tokyo Electron......................   50,000       1,553    
     Electronics manufacturing company                          
(a)Toppan Printing,                                          
   warrants expiring 1995..............      780         244    
     Printing company                                           
(a)Ube Industries, Ltd. ...............  250,000         965    
     Diversified manufacturing company                          
                                                    --------    
                                                      39,351    
MALAYSIA--.9%                                                  
   Road Builder Holdings...............   67,000         365    
     Construction company                                       
(a)Technology Resources Industries ....  216,000         689    
     Telecommunications company                     --------    
                                                       1,054    
PHILIPPINES--.2%                                               
(a)Universal Robina Corporation........  290,000         205    
     Food manufacturer                                          
                                                                
SINGAPORE--3.4%                                                
   Development Bank....................   51,000         525    
     Banking                                                    
   Keppel Corporation Limited..........  170,000       1,446    
     Conglomerate holding company                               
   Singapore Press Holding.............   85,000       1,545    
     Publishing company                                         
   United Overseas Bank................   60,000         634    
     Banking                                                    
                                                    --------    
                                                       4,150    
THAILAND--.5%                                                  
   Siam City Bank......................  502,000         640    
     Banking                                                    
                                                    --------    
                                                                
TOTAL PACIFIC REGION--38.1%                           46,759    
</TABLE>                                                      
 
                                      31
<PAGE>   34
 
KEMPER INVESTORS FUND
 
INTERNATIONAL PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                        Number of               
                                         Shares      Value      
                                        ---------   --------    
<S>                                     <C>         <C>         
LATIN AMERICA                                                  

BRAZIL--.6%                                                    
(a)Usiminas S.A., ADR..................   56,050    $    729    
     Iron and steel manufacturer                                

CHILE--1.2%                                                    
   Enersis S.A., ADR...................   16,500         458    
     Electric utility company                                   
   MASISA, ADR.........................    9,400         240    
     Wood products manufacturer                                 
(a)Provida Corporation, ADR............   43,700         814    
     Financial services                                         
                                                    --------    
                                                       1,512    
                                                    --------    
TOTAL LATIN AMERICA--1.8%..............                2,241    

COMMONWEALTH COUNTRIES                                         

AUSTRALIA--1.4%                                                
   CSL Ltd.............................  253,800         478    
     Blood plasma producer                                      
   Just Jeans Holdings Ltd.............   20,800          35    
     Retail company                                             
   TNT Ltd.............................  666,000       1,136    
     Transportation and logistics                               
                                                    --------    
                                                       1,649    
CANADA--2.2%                                                   
   Magna International, "A"............   47,300       1,814    
     Automobile parts company                                   
(a)Sceptre Resources...................   87,800         556    
     Energy resource company                                    
(a)Talisman Energy.....................   18,700         317    
     Energy resource company                                    
                                                    --------    
                                                       2,687    
UNITED KINGDOM--11.4%                                          
   British Petroleum Co., PLC..........  461,708       3,073    
     Petroleum mining and production                            
       company                                                  
   Eastern Group PLC...................  140,000       1,702    
     Electric utility company                                   
                                                                
<CAPTION>                                                      
                                        Number of               
                                        Shares or               
                                        Principal               
                                         Amount      Value      
                                        ---------   --------    
<S>                                     <C>         <C>         
   Granada Group PLC...................   85,770    $    687    
     Leisure goods company                                      
   Lloyds Bank PLC.....................  185,000       1,599    
     Banking                                                    
   Manweb PLC..........................  150,000       2,042    
     Electric utility company                                   
   RTZ Corporation PLC.................  200,000       2,594    
     Mining company                                             
(a)Telewest Communications.............  173,000         463    
     Communications utility                                     
   Vodafone Group PLC..................  561,000       1,861    
     Cellular telephone services                                
                                                    --------    
                                                      14,021    
                                                    --------    
TOTAL COMMONWEALTH                                             
COUNTRIES--15.0%.......................               18,357    
                                                    --------    
TOTAL COMMON STOCKS--86.4%                                     
   (Cost: $102,594)....................              106,055    

MONEY MARKET INSTRUMENTS                                       
   Yield--5.91% to 6.16%                                        
   Due--January 1995                                            
     B.A.T. Capital Corporation........ $    945         944    
     Greyhound Financial Corporation...    5,000       4,992    
     NNW Utility Funding, Inc..........    1,000         999    
     A.H. Robbins......................    5,000       4,995    
                                                    --------    
TOTAL MONEY MARKET INSTRUMENTS--9.7%                           
   (Cost: $11,931).....................               11,930    
                                                    --------    
TOTAL INVESTMENTS--96.1%                                       
   (Cost: $114,525)....................              117,985    

CASH AND OTHER ASSETS,                                         
   LESS LIABILITIES--3.9%..............                4,725    
                                                    --------    
NET ASSETS--100%.......................             $122,710    
                                                    ========    
</TABLE>                                                      
 
NOTES TO INTERNATIONAL PORTFOLIO OF INVESTMENTS
 
(a) Non-income producing security.
 
Based on the cost of investments of $114,525,000 for federal income tax purposes
at December 31, 1994, the aggregate gross unrealized appreciation was
$8,320,000, the aggregate gross unrealized depreciation was $4,860,000 and the
net unrealized appreciation of investments was $3,460,000.
 
See accompanying notes to financial statements.
 
                                      32
<PAGE>   35
 
KEMPER INVESTORS FUND
 
SMALL CAPITALIZATION EQUITY PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                       Number of                 
                                        Shares       Value       
                                       ---------    -------      
<S>                                    <C>          <C>          
COMMON STOCKS                                                   

BUILDING MATERIALS                                              
AND HOUSING--.3%                                                
(a)Schuler Homes Inc. ..............      3,100     $    44      

CABLE TELEVISION, BROADCASTING, AND                             
WIRELESS COMMUNICATIONS--.8%                                    
(a)E Z Communications, Inc.               2,000          25      
(a)Infinity Broadcasting............      2,300          72      
(a)Jones Intercable, Inc. "A".......        800          10      
                                                    -------      
                                                        107      
CHEMICALS--3.3%                                                 
(a)FMC Corp. .......................      5,000         289      
   Minerals Technologies............      4,200         123      
(a)OM Group.........................        700          17      
                                                    -------      
                                                        429      
COMPUTER SOFTWARE AND                                           
TECHNOLOGY--9.0%                                                
(a)Atmel Corp. .....................      3,500         117      
(a)Alternative Resources, Inc. .....      4,000         126      
(a)Broderbund Software, Inc. .......      3,200         150      
(a)EMC Corporation..................      2,800          61      
(a)Keane, Inc. .....................      6,000         143      
(a)Microchip Technologies...........      6,000         165      
(a)Parametric Technology                                      
      Corporation...................      3,600         124      
(a)7th Level........................      9,900          52      
(a)Solectron Corporation............      4,100         113      
(a)Ultratech Stepper................      3,000         114      
                                                    -------      
                                                      1,165      
CONSUMER PRODUCTS                                               
AND SERVICES--9.2%                                              
(a)Coleman, Inc.                          4,800         169      
   Danka Business Systems, ADR......      9,000         195      
(a)Franklin Quest Inc...............      7,000         209      
(a)Hammons John Q Hotels, Inc.......      8,000         112      
   Hudson Foods, Inc. ..............      7,100         178      
   Meredith Corporation.............      3,400         159      
(a)Norton McNaughton, Inc. .........        400           6      
(a)Safety 1st Inc...................      5,000         146      
(a)Waterford Wedgewood PLC               13,000          11      
                                                    -------      
                                                      1,185      
ENGINEERING--.9%                                                
   Aalberts Industries N.V..........        200          10      
   Jacobs Engineering Group.........      5,600         104      
                                                    -------      
                                                        114      
                                                                 
<CAPTION>                                                       
                                       Number of                 
                                        Shares       Value       
                                       ---------    -------      
<S>                                    <C>          <C>          
FINANCIAL SERVICES--5.4%                                        
   ADVANTA Corporation..............      6,000     $   151      
   Bankers Life Holding                                          
   Corporation......................      9,500         180      
   Conseco, Inc.....................        800          34      
   MBNA Corporation.................      4,000          93      
(a)Medaphis Corporation.............      1,500          70      
(a)SPS Transaction Services.........      6,000         158      
   Western National Corporation.....      1,300          17      
                                                    -------      
                                                        703      
MANUFACTURING AND                                               
DISTRIBUTION--8.4%                                              
   Federal Signal Corporation.......     10,000         204      
   Greenfield Industries............      7,400         178      
   Harley-Davidson, Inc.............      6,400         179      
   Harmon Industries................      6,600         129      
(a)Norand Corporation...............      2,000          71      
   Nucor Corporation................      1,500          83      
   Outokumpu Oy "A".................        700          13      
   TriMas Corporation...............     10,700         214      
(a)Universal Robina Corp.                13,000           9      
                                                    -------      
                                                      1,080      
MEDICAL PRODUCTS AND                                            
EQUIPMENT--4.6%                                                 
   DENTSPLY International...........      6,000         189      
(a)IDEX Laboratories................      7,400         266      
(a)Pyxis Corporation................      7,000         133      
                                                    -------      
                                                        588      
MEDICAL SERVICES--4.0%                                          
(a)HEALTHSOUTH Rehabilitation.......      3,300         122      
   Integrated Health Services.......      2,900         115      
   Omnicare, Inc....................      4,700         206      
(a)Renal Treatment Centers, Inc. ...      3,300          72      
                                                    -------      
                                                        515      
RETAILING AND RESTAURANTS--8.5%                                 
(a)Best Buy, Inc....................      5,000         156      
(a)Department 56, Inc...............      3,500         139      
(a)General Nutrition Centers........      3,600         104      
   Hagemeyer N.V....................        200          16      
(a)Officemax, Inc...................      5,500         146      
(a)PetsMart, Inc. ..................      2,400          83      
(a)Proffitt's, Inc. ................      6,000         133      
(a)Starbucks Corporation............      3,000          82      
(a)Viking Office Products...........      7,500         230      
   Zannier S.A......................        200           5      
                                                    -------      
                                                      1,094      
</TABLE>                                                       
 
                                      33
<PAGE>   36
 
KEMPER INVESTORS FUND
 
SMALL CAPITALIZATION EQUITY PORTFOLIO
PORTFOLIO OF INVESTMENTS DECEMBER 31, 1994--(CONTINUED)
(DOLLARS IN THOUSANDS)
<TABLE>
<CAPTION>
                                       Number of                 
                                        Shares       Value       
                                       ---------    -------      
<S>                                    <C>          <C>          
TELECOMMUNICATIONS AND                                          
EQUIPMENT--11.4%                                                
(a)ADC Telecommunications, Inc......      3,600     $   180      
   Allen Group Inc..................      8,300         198      
(a)International CableTel...........      4,500         125      
(a)LCI International................     10,200         273      
(a)Paging Network, Inc. ............      3,600         122      
   Scientific Atlanta, Inc. ........      6,000         126      
(a)Tellabs, Inc.....................      4,300         240      
(a)US Robotics Inc..................      4,900         212      
                                                    -------      
                                                      1,476      
TRANSPORTATION--2.8%                                            
(a)ABC Rail Products                      6,200         136      
(a)Wisconsin Central                                          
     Transportation Corporation.....      5,300         219      
                                                    -------      
                                                        355      
                                                    -------      
TOTAL COMMON STOCKS--68.6%                                      
   (Cost: $8,552)...................                  8,855      
                                                                 
<CAPTION>                                                       
                                       Principal                 
                                        Amount       Value       
                                       ---------    -------      
<S>                                    <C>          <C>          
                                                                 
MONEY MARKET INSTRUMENTS                                        
   Yield--5.50% to 5.93%                                         
   Due--January and February 1995                                
     Federal Farm Credit Banks......    $ 1,000     $   994      
     Federal Home Loan Bank.........        700         699      
     Federal Home Loan Mortgage                                  
       Corporation..................      2,500       2,495      
                                                    -------      
TOTAL MONEY MARKET                                              
INSTRUMENTS--32.4%                                              
   (Cost: $4,189)...................                  4,188      
                                                    -------      
TOTAL INVESTMENTS--101.0%                                       
   (Cost: $12,741)..................                 13,043      

LIABILITIES, LESS OTHER                                         
ASSETS--(1.0)%......................                   (134)     
                                                    -------      
NET ASSETS--100%....................                $12,909      
                                                    =======      
</TABLE>                                                       
 
NOTES TO SMALL CAPITALIZATION PORTFOLIO OF INVESTMENTS
 
(a) Non-income producing security.
 
Based on the cost of investments of $12,741,000 for federal income tax purposes
at December 31, 1994, the aggregate gross unrealized appreciation was $698,000,
the aggregate gross unrealized depreciation was $396,000 and the net unrealized
appreciation was $302,000.
 
See accompanying notes to financial statements.
 
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