KEMPER INVESTORS FUND
NSAR-A, 1996-08-28
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<PAGE>      PAGE  1
000 A000000 06/30/96
000 C000000 0000810573
000 D000000 N
000 E000000 F
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0
000 J000000 A
001 A000000 KEMPER INVESTORS FUND
001 B000000 811-5002
001 C000000 3127811121
002 A000000 120 SOUTH LASALLE STREET
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60603
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000 14
007 C010100  1
007 C020100 MONEY MARKET PORTFOLIO
007 C030100 N
007 C010200  2
007 C020200 TOTAL RETURN PORTFOLIO
007 C030200 N
007 C010300  3
007 C020300 HIGH YIELD PORTFOLIO
007 C030300 N
007 C010400  4
007 C020400 GROWTH PORTFOLIO
007 C030400 N
007 C010500  5
007 C020500 GOVERNMENT SECURITIES PORTFOLIO
007 C030500 N
007 C010600  6
007 C020600 INTERNATIONAL PORTFOLIO
007 C030600 N
007 C010700  7
007 C020700 SMALL CAP GROWTH PORTFOLIO
007 C030700 N
007 C010800  8
007 C020800 INVESTMENT GRADE BOND PORTFOLIO
007 C030800 N
007 C010900  9
007 C020900 VALUE PORTFOLIO
007 C030900 N
007 C011000 10
007 C021000 SMALL CAP VALUE PORTFOLIO
<PAGE>      PAGE  2
007 C031000 N
007 C011100 11
007 C021100 VALUE+GROWTH PORTFOLIO
007 C031100 N
007 C011200 12
007 C021200 HORIZON 20+ PORTFOLIO
007 C031200 N
007 C011300 13
007 C021300 HORIZON 10+ PORTFOLIO
007 C031300 N
007 C011400 14
007 C021400 HORIZON 5 PORTFOLIO
007 C031400 N
007 C011500 15
007 C011600 16
007 C011700 17
007 C011800 18
007 C011900 19
007 C012000 20
010 A00AA01 KEMPER DISTRIBUTORS, INC.
010 B00AA01 8-47765
010 C01AA01 CHICAGO
010 C02AA01 IL
010 C03AA01 60603
011 A00AA01 KEMPER DISTRIBUTORS, INC.
011 B00AA01 8-47765
011 C01AA01 CHICAGO
011 C02AA01 IL
011 C03AA01 60603
012 A00AA01 KEMPER SERVICE COMPANY
012 B00AA01 84-1713
012 C01AA01 KANSAS CITY
012 C02AA01 MO
012 C03AA01 64141
013 A00AA01 ERNST & YOUNG LLP
013 B01AA01 CHICAGO
013 B02AA01 IL
013 B03AA01 60606
014 A00AA01 KEMPER DISTRIBUTORS, INC.
014 B00AA01 8-47765
014 A00AA02 GRUNTAL SECURITIES, INC.
014 B00AA02 8-31022
014 A00AA03 THE GMS GROUP, INC.
014 B00AA03 8-23936
015 A00AA01 INVESTORS FIDUCIARY TRUST COMPANY
015 B00AA01 C
015 C01AA01 KANSAS CITY
015 C02AA01 MO
015 C03AA01 64105
015 E01AA01 X
015 A00AA02 THE CHASE MANHATTAN BANK, N.A.
<PAGE>      PAGE  3
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015 C01AA02 BROOKLYN
015 C02AA02 NY
015 C03AA02 11245
015 E04AA02 X
015 A00AA03 STATE STREET BANK AND TRUST COMPANY
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015 C01AA03 BOSTON
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015 C03AA03 02110
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020 C000002    104
020 A000003 SMITH BARNEY, INC.
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020 C000003     77
020 A000004 ALEX. BROWN & SONS INCORPORATED
020 B000004 52-0256630
020 C000004     74
020 A000005 TIEDMANN INTERNATIONAL RESEARCH, INC.
020 B000005 13-3506065
020 C000005     67
020 A000006 PAINEWEBBER INCORPORATED
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020 C000006     56
020 A000007 BARCLAYS DE ZOETE WEDD GOVT SECURITIES, INC.
020 B000007 13-3410233
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020 A000008 KIM ENG SECURITIES USA, INC.
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020 B000010 13-5659485
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021  000000     1621
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022 B000001 13-5108880
022 C000001   1077850
022 D000001    165859
022 A000002 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
<PAGE>      PAGE  4
022 B000002 13-5674085
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022 B000004 13-5659485
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022 C000007     40726
022 D000007     47269
022 A000008 MORGAN STANLEY & CO. INCORPORATED
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022 C000008     37209
022 D000008     18965
022 A000009 UBS SECURITIES INC.
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<PAGE>      PAGE  5
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<PAGE>      PAGE  6
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<PAGE>      PAGE  7
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<PAGE>      PAGE  8
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070 E020100 N
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070 G020100 N
070 H010100 N
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070 I020100 N
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<PAGE>      PAGE  9
070 J020100 Y
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<PAGE>      PAGE  10
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008 A000201 ZURICH KEMPER INVESTMENTS, INC.
008 B000201 A
008 C000201 801-6634
008 D010201 CHICAGO
008 D020201 IL
008 D030201 60603
024  000200 Y
025 A000201 LEHMAN BROTHERS HOLDINGS INC.
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025 C000201 D
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<PAGE>      PAGE  11
025 A000202 MERRILL LYNCH & CO.
025 B000202 13-5674085
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<PAGE>      PAGE  13
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<PAGE>      PAGE  16
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<PAGE>      PAGE  17
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<PAGE>      PAGE  37
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<PAGE>      PAGE  38
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<PAGE>      PAGE  39
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008 A000901 DREMAN VALUE ADVISORS, INC.
008 B000901 A
008 C000901 801-47879
008 D010901 JERSEY CITY
008 D020901 NJ
008 D030901 07302
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<PAGE>      PAGE  40
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<PAGE>      PAGE  41
070 B010900 Y
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070 J020900 N
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<PAGE>      PAGE  42
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<PAGE>      PAGE  43
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008 A001001 DREMAN VALUE ADVISORS, INC.
008 B001001 A
008 C001001 801-47879
008 D011001 JERSEY CITY
008 D021001 NJ
008 D031001 07302
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<PAGE>      PAGE  44
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070 A011000 Y
<PAGE>      PAGE  45
070 A021000 Y
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070 F021000 N
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070 J021000 N
070 K011000 N
070 K021000 N
070 L011000 Y
070 L021000 N
070 M011000 N
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<PAGE>      PAGE  46
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<PAGE>      PAGE  47
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008 A001101 ZURICH KEMPER INVESTMENTS, INC.
008 B001101 A
008 C001101 801-6634
008 D011101 CHICAGO
008 D021101 IL
008 D031101 60603
008 A001102 DREMAN VALUE ADVISORS, INC.
008 B001102 S
008 C001102 801-47879
008 D011102 JERSEY CITY
008 D021102 NJ
008 D031102 07302
024  001100 N
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<PAGE>      PAGE  48
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<PAGE>      PAGE  49
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<PAGE>      PAGE  50
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<PAGE>      PAGE  51
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008 A001201 ZURICH KEMPER INVESTMENTS, INC.
008 B001201 A
008 C001201 801-6634
008 D011201 CHICAGO
008 D021201 IL
008 D031201 60603
008 A001202 DREMAN VALUE ADVISORS, INC.
008 B001202 S
008 C001202 801-47879
008 D011202 JERSEY CITY
008 D021202 NJ
008 D031202 07302
024  001200 N
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<PAGE>      PAGE  52
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<PAGE>      PAGE  53
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070 Q021200 N
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<PAGE>      PAGE  54
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<PAGE>      PAGE  55
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008 A001301 ZURICH KEMPER INVESTMENTS, INC.
008 B001301 A
008 C001301 801-6634
008 D011301 CHICAGO
008 D021301 IL
008 D031301 60603
008 A001302 DREMAN VALUE ADVISORS, INC.
008 B001302 S
008 C001302 801-47879
008 D011302 JERSEY CITY
008 D021302 NJ
008 D031302 07302
024  001300 N
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<PAGE>      PAGE  56
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028 F031300         0
028 F041300         3
028 G011300      1223
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028 G041300         3
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045  001300 Y
046  001300 Y
047  001300 Y
048  001300  0.600
048 A011300        0
048 A021300 0.000
048 B011300        0
048 B021300 0.000
048 C011300        0
048 C021300 0.000
048 D011300        0
048 D021300 0.000
048 E011300        0
048 E021300 0.000
048 F011300        0
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048 G011300        0
048 G021300 0.000
048 H011300        0
048 H021300 0.000
048 I011300        0
048 I021300 0.000
048 J011300        0
048 J021300 0.000
048 K011300        0
048 K021300 0.000
055 A001300 Y
055 B001300 N
056  001300 Y
057  001300 N
062 A001300 N
062 B001300   0.0
062 C001300   0.0
062 D001300   0.0
062 E001300   0.0
062 F001300   0.0
062 G001300   0.0
062 H001300   0.0
062 I001300   0.0
<PAGE>      PAGE  57
062 J001300   0.0
062 K001300   0.0
062 L001300   0.0
062 M001300   0.0
062 N001300   0.0
062 O001300   0.0
062 P001300   0.0
062 Q001300   0.0
062 R001300   0.0
066 A001300 Y
066 B001300 N
066 C001300 N
066 D001300 N
066 E001300 Y
066 F001300 N
066 G001300 N
067  001300 N
068 A001300 N
068 B001300 N
069  001300 N
070 A011300 Y
070 A021300 N
070 B011300 Y
070 B021300 N
070 C011300 Y
070 C021300 N
070 D011300 Y
070 D021300 N
070 E011300 Y
070 E021300 N
070 F011300 Y
070 F021300 N
070 G011300 Y
070 G021300 N
070 H011300 Y
070 H021300 N
070 I011300 N
070 I021300 N
070 J011300 Y
070 J021300 Y
070 K011300 N
070 K021300 N
070 L011300 Y
070 L021300 Y
070 M011300 Y
070 M021300 N
070 N011300 Y
070 N021300 N
070 O011300 Y
070 O021300 N
070 P011300 N
<PAGE>      PAGE  58
070 P021300 N
070 Q011300 N
070 Q021300 N
070 R011300 N
070 R021300 N
071 A001300       802
071 B001300         6
071 C001300       410
071 D001300    9
072 A001300  2
072 B001300        3
072 C001300        1
072 D001300        0
072 E001300        0
072 F001300        1
072 G001300        0
072 H001300        0
072 I001300        0
072 J001300        0
072 K001300        0
072 L001300        0
072 M001300        0
072 N001300        0
072 O001300        0
072 P001300        0
072 Q001300        0
072 R001300        0
072 S001300        0
072 T001300        0
072 U001300        0
072 V001300        0
072 W001300        0
072 X001300        1
072 Y001300        0
072 Z001300        3
072AA001300        0
072BB001300        0
072CC011300        0
072CC021300       12
072DD011300        0
072DD021300        0
072EE001300        0
073 A011300   0.0000
073 A021300   0.0000
073 B001300   0.0000
073 C001300   0.0000
074 A001300       66
074 B001300        0
074 C001300      499
074 D001300        0
074 E001300      784
<PAGE>      PAGE  59
074 F001300        0
074 G001300        0
074 H001300        0
074 I001300        0
074 J001300        0
074 K001300        0
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074 N001300     1350
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074 P001300        1
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074 R011300        0
074 R021300        0
074 R031300        0
074 R041300        0
074 S001300        0
074 T001300     1311
074 U011300     1298
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074 V011300     1.01
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074 W001300   0.0000
074 X001300        3
074 Y001300        0
075 A001300        0
075 B001300      653
076  001300     0.00
008 A001401 ZURICH KEMPER INVESTMENTS, INC.
008 B001401 A
008 C001401 801-6634
008 D011401 CHICAGO
008 D021401 IL
008 D031401 60603
008 A001402 DREMAN VALUE ADVISORS, INC.
008 B001402 S
008 C001402 801-47879
008 D011402 JERSEY CITY
008 D021402 NJ
008 D031402 07302
024  001400 N
028 A011400         0
028 A021400         0
028 A031400         0
028 A041400         0
028 B011400         0
028 B021400         0
028 B031400         0
028 B041400         0
028 C011400         0
028 C021400         0
<PAGE>      PAGE  60
028 C031400         0
028 C041400         0
028 D011400         0
028 D021400         0
028 D031400         0
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028 E031400         0
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028 G011400       707
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028 G041400        53
028 H001400         0
045  001400 Y
046  001400 Y
047  001400 Y
048  001400  0.600
048 A011400        0
048 A021400 0.000
048 B011400        0
048 B021400 0.000
048 C011400        0
048 C021400 0.000
048 D011400        0
048 D021400 0.000
048 E011400        0
048 E021400 0.000
048 F011400        0
048 F021400 0.000
048 G011400        0
048 G021400 0.000
048 H011400        0
048 H021400 0.000
048 I011400        0
048 I021400 0.000
048 J011400        0
048 J021400 0.000
048 K011400        0
048 K021400 0.000
055 A001400 Y
055 B001400 N
056  001400 Y
057  001400 N
062 A001400 N
062 B001400   0.0
<PAGE>      PAGE  61
062 C001400   0.0
062 D001400   0.0
062 E001400   0.0
062 F001400   0.0
062 G001400   0.0
062 H001400   0.0
062 I001400   0.0
062 J001400   0.0
062 K001400   0.0
062 L001400   0.0
062 M001400   0.0
062 N001400   0.0
062 O001400   0.0
062 P001400   0.0
062 Q001400   0.0
062 R001400   0.0
066 A001400 Y
066 B001400 N
066 C001400 N
066 D001400 N
066 E001400 N
066 F001400 Y
066 G001400 N
067  001400 N
068 A001400 N
068 B001400 N
069  001400 N
070 A011400 Y
070 A021400 N
070 B011400 Y
070 B021400 N
070 C011400 Y
070 C021400 N
070 D011400 Y
070 D021400 N
070 E011400 Y
070 E021400 N
070 F011400 Y
070 F021400 N
070 G011400 Y
070 G021400 N
070 H011400 Y
070 H021400 N
070 I011400 N
070 I021400 N
070 J011400 Y
070 J021400 N
070 K011400 N
070 K021400 N
070 L011400 Y
070 L021400 Y
<PAGE>      PAGE  62
070 M011400 Y
070 M021400 N
070 N011400 Y
070 N021400 N
070 O011400 Y
070 O021400 N
070 P011400 N
070 P021400 N
070 Q011400 N
070 Q021400 N
070 R011400 N
070 R021400 N
071 A001400       305
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071 D001400    0
072 A001400  2
072 B001400        2
072 C001400        1
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072 L001400        0
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072 X001400        1
072 Y001400        0
072 Z001400        2
072AA001400        0
072BB001400        0
072CC011400        0
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<PAGE>      PAGE  63
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074 I001400        0
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074 P001400        0
074 Q001400        0
074 R011400        0
074 R021400        0
074 R031400        0
074 R041400        0
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074 T001400      752
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SIGNATURE   JEROME L. DUFFY                              
TITLE       TREASURER           
 


<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 01
   <NAME> MONEY MARKET PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                           67,177
<INVESTMENTS-AT-VALUE>                          67,177
<RECEIVABLES>                                      193
<ASSETS-OTHER>                                     667
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  68,037
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          158
<TOTAL-LIABILITIES>                                158
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        68,729
<SHARES-COMMON-STOCK>                           67,879
<SHARES-COMMON-PRIOR>                           61,078
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (850)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                    67,879
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                1,973
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (214)
<NET-INVESTMENT-INCOME>                          1,759
<REALIZED-GAINS-CURRENT>                         (850)
<APPREC-INCREASE-CURRENT>                          850
<NET-CHANGE-FROM-OPS>                            1,759
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (1,759)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         70,069
<NUMBER-OF-SHARES-REDEEMED>                   (65,087)
<SHARES-REINVESTED>                              1,819
<NET-CHANGE-IN-ASSETS>                           6,801
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              179
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    214
<AVERAGE-NET-ASSETS>                            72,153
<PER-SHARE-NAV-BEGIN>                             1.00
<PER-SHARE-NII>                                    .02
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                             (.02)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               1.00
<EXPENSE-RATIO>                                    .59
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 02
   <NAME> TOTAL RETURN PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                          597,889
<INVESTMENTS-AT-VALUE>                         671,577
<RECEIVABLES>                                   10,896
<ASSETS-OTHER>                                   4,376
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 686,849
<PAYABLE-FOR-SECURITIES>                         8,807
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          400
<TOTAL-LIABILITIES>                              9,207
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       554,799
<SHARES-COMMON-STOCK>                          266,285
<SHARES-COMMON-PRIOR>                          255,878
<ACCUMULATED-NII-CURRENT>                       11,257
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         37,870
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        73,716
<NET-ASSETS>                                   677,642
<DIVIDEND-INCOME>                                2,947
<INTEREST-INCOME>                                9,537
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,953)
<NET-INVESTMENT-INCOME>                         10,531
<REALIZED-GAINS-CURRENT>                        38,757
<APPREC-INCREASE-CURRENT>                     (13,178)
<NET-CHANGE-FROM-OPS>                           36,110
<EQUALIZATION>                                      78
<DISTRIBUTIONS-OF-INCOME>                     (22,873)
<DISTRIBUTIONS-OF-GAINS>                      (20,332)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         20,334
<NUMBER-OF-SHARES-REDEEMED>                   (27,609)
<SHARES-REINVESTED>                             17,682
<NET-CHANGE-IN-ASSETS>                          17,748
<ACCUMULATED-NII-PRIOR>                         23,521
<ACCUMULATED-GAINS-PRIOR>                       19,445
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            1,847
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,953
<AVERAGE-NET-ASSETS>                           669,969
<PER-SHARE-NAV-BEGIN>                            2.579
<PER-SHARE-NII>                                    .04
<PER-SHARE-GAIN-APPREC>                           .096
<PER-SHARE-DIVIDEND>                             (.09)
<PER-SHARE-DISTRIBUTIONS>                        (.08)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              2.545
<EXPENSE-RATIO>                                    .58
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINNANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 03
   <NAME> HIGH YIELD PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                          253,027
<INVESTMENTS-AT-VALUE>                         251,850
<RECEIVABLES>                                    6,484
<ASSETS-OTHER>                                     979
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 259,313
<PAYABLE-FOR-SECURITIES>                         5,571
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          162
<TOTAL-LIABILITIES>                              5,733
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       271,864
<SHARES-COMMON-STOCK>                          216,084
<SHARES-COMMON-PRIOR>                          204,457
<ACCUMULATED-NII-CURRENT>                        5,077
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                       (22,184) 
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                       (1,177)
<NET-ASSETS>                                   253,580
<DIVIDEND-INCOME>                                  101
<INTEREST-INCOME>                               12,694
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (805)
<NET-INVESTMENT-INCOME>                         11,990
<REALIZED-GAINS-CURRENT>                          (22)
<APPREC-INCREASE-CURRENT>                        (898)
<NET-CHANGE-FROM-OPS>                           11,070
<EQUALIZATION>                                 (3,301)
<DISTRIBUTIONS-OF-INCOME>                     (24,806)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         44,753
<NUMBER-OF-SHARES-REDEEMED>                   (54,582)
<SHARES-REINVESTED>                             21,456
<NET-CHANGE-IN-ASSETS>                         (3,797)
<ACCUMULATED-NII-PRIOR>                         21,194
<ACCUMULATED-GAINS-PRIOR>                     (22,162)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              745
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    805
<AVERAGE-NET-ASSETS>                           250,244
<PER-SHARE-NAV-BEGIN>                            1.259
<PER-SHARE-NII>                                    .06
<PER-SHARE-GAIN-APPREC>                         (.005)
<PER-SHARE-DIVIDEND>                             (.14)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.174
<EXPENSE-RATIO>                                    .65
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 04
   <NAME> GROWTH PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                          390,598
<INVESTMENTS-AT-VALUE>                         449,091
<RECEIVABLES>                                    7,018
<ASSETS-OTHER>                                     384
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 456,493
<PAYABLE-FOR-SECURITIES>                         4,720
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          266
<TOTAL-LIABILITIES>                              4,986
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       345,391
<SHARES-COMMON-STOCK>                          147,416
<SHARES-COMMON-PRIOR>                          127,086
<ACCUMULATED-NII-CURRENT>                        4,199
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         43,361
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        58,556
<NET-ASSETS>                                   451,507
<DIVIDEND-INCOME>                                2,306
<INTEREST-INCOME>                                1,635
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,384)
<NET-INVESTMENT-INCOME>                          2,557
<REALIZED-GAINS-CURRENT>                        44,333
<APPREC-INCREASE-CURRENT>                      (3,880)
<NET-CHANGE-FROM-OPS>                           43,010
<EQUALIZATION>                                     472
<DISTRIBUTIONS-OF-INCOME>                      (5,021)
<DISTRIBUTIONS-OF-GAINS>                      (58,998)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         14,881
<NUMBER-OF-SHARES-REDEEMED>                   (16,747)
<SHARES-REINVESTED>                             22,196
<NET-CHANGE-IN-ASSETS>                          36,974
<ACCUMULATED-NII-PRIOR>                          6,191
<ACCUMULATED-GAINS-PRIOR>                       58,026
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            1,300
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,384
<AVERAGE-NET-ASSETS>                           434,729
<PER-SHARE-NAV-BEGIN>                            3.262
<PER-SHARE-NII>                                   .019
<PER-SHARE-GAIN-APPREC>                           .292
<PER-SHARE-DIVIDEND>                             (.04)
<PER-SHARE-DISTRIBUTIONS>                        (.47)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              3.063
<EXPENSE-RATIO>                                    .64
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 05
   <NAME> GOVERNMENT SECURITIES PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                           97,260
<INVESTMENTS-AT-VALUE>                          96,685
<RECEIVABLES>                                    6,457
<ASSETS-OTHER>                                     788
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 103,930
<PAYABLE-FOR-SECURITIES>                        16,510
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           76
<TOTAL-LIABILITIES>                             16,586
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        79,109
<SHARES-COMMON-STOCK>                           75,731
<SHARES-COMMON-PRIOR>                           74,992
<ACCUMULATED-NII-CURRENT>                       12,950
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (4,140)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (575)
<NET-ASSETS>                                    87,344
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                3,390
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (301)
<NET-INVESTMENT-INCOME>                          3,089
<REALIZED-GAINS-CURRENT>                           337
<APPREC-INCREASE-CURRENT>                      (5,241)
<NET-CHANGE-FROM-OPS>                          (1,815)
<EQUALIZATION>                                   (118)
<DISTRIBUTIONS-OF-INCOME>                      (6,507)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          5,932
<NUMBER-OF-SHARES-REDEEMED>                   (10,850)
<SHARES-REINVESTED>                              5,657
<NET-CHANGE-IN-ASSETS>                         (7,841)
<ACCUMULATED-NII-PRIOR>                         16,486
<ACCUMULATED-GAINS-PRIOR>                      (4,477)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              250
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    301
<AVERAGE-NET-ASSETS>                            90,991
<PER-SHARE-NAV-BEGIN>                            1.269
<PER-SHARE-NII>                                   .041
<PER-SHARE-GAIN-APPREC>                         (.067)
<PER-SHARE-DIVIDEND>                             (.09)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.153
<EXPENSE-RATIO>                                    .66
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 06
   <NAME> INTERNATIONAL PORTFOLIO
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                          137,325
<INVESTMENTS-AT-VALUE>                         158,640
<RECEIVABLES>                                    4,391
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 163,031
<PAYABLE-FOR-SECURITIES>                         1,647
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        2,931
<TOTAL-LIABILITIES>                              4,578
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       126,792
<SHARES-COMMON-STOCK>                          106,206
<SHARES-COMMON-PRIOR>                           98,119
<ACCUMULATED-NII-CURRENT>                        1,737
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          7,913
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        22,011
<NET-ASSETS>                                   158,453
<DIVIDEND-INCOME>                                1,922
<INTEREST-INCOME>                                  138
<OTHER-INCOME>                                   (233)
<EXPENSES-NET>                                   (708)
<NET-INVESTMENT-INCOME>                          1,119
<REALIZED-GAINS-CURRENT>                         8,070
<APPREC-INCREASE-CURRENT>                        6,203
<NET-CHANGE-FROM-OPS>                           15,392
<EQUALIZATION>                                     115
<DISTRIBUTIONS-OF-INCOME>                      (2,089)
<DISTRIBUTIONS-OF-GAINS>                       (1,044)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         20,085
<NUMBER-OF-SHARES-REDEEMED>                   (14,153)
<SHARES-REINVESTED>                              2,155
<NET-CHANGE-IN-ASSETS>                          23,972
<ACCUMULATED-NII-PRIOR>                          2,592
<ACCUMULATED-GAINS-PRIOR>                          887
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              558
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    708
<AVERAGE-NET-ASSETS>                           148,557
<PER-SHARE-NAV-BEGIN>                            1.371
<PER-SHARE-NII>                                   .010
<PER-SHARE-GAIN-APPREC>                           .141
<PER-SHARE-DIVIDEND>                            (.020)
<PER-SHARE-DISTRIBUTIONS>                       (.010)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.492
<EXPENSE-RATIO>                                    .95
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH
FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 07
   <NAME> SMALL CAP GROWTH PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                           43,015
<INVESTMENTS-AT-VALUE>                          52,544
<RECEIVABLES>                                    1,775
<ASSETS-OTHER>                                     751
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  55,070
<PAYABLE-FOR-SECURITIES>                         2,058
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           49
<TOTAL-LIABILITIES>                              2,107
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        42,070
<SHARES-COMMON-STOCK>                           34,921
<SHARES-COMMON-PRIOR>                           26,283
<ACCUMULATED-NII-CURRENT>                          334 
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           1030
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         9,529
<NET-ASSETS>                                    52,963
<DIVIDEND-INCOME>                                   38
<INTEREST-INCOME>                                  170
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (175)
<NET-INVESTMENT-INCOME>                             33
<REALIZED-GAINS-CURRENT>                         1,190
<APPREC-INCREASE-CURRENT>                        4,866
<NET-CHANGE-FROM-OPS>                            6,089
<EQUALIZATION>                                      77
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                       (1,209)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         13,927
<NUMBER-OF-SHARES-REDEEMED>                    (6,129)
<SHARES-REINVESTED>                               840
<NET-CHANGE-IN-ASSETS>                          17,590
<ACCUMULATED-NII-PRIOR>                            224
<ACCUMULATED-GAINS-PRIOR>                        1,049
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              145
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    175
<AVERAGE-NET-ASSETS>                            44,682
<PER-SHARE-NAV-BEGIN>                            1.346
<PER-SHARE-NII>                                   .041
<PER-SHARE-GAIN-APPREC>                            .17
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                        (.04)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.517
<EXPENSE-RATIO>                                    .78
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996 SEMI-ANNUAL
REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH
FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 08
   <NAME> INVESTMENT GRADE BOND PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   2-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             MAY-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                              379
<INVESTMENTS-AT-VALUE>                             379
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                      61
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                     440
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                           437
<SHARES-COMMON-STOCK>                              437
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            3
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                       440
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    2
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              2
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                2
<EQUALIZATION>                                       1
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            345
<NUMBER-OF-SHARES-REDEEMED>                        (8)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                             340
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                               240
<PER-SHARE-NAV-BEGIN>                            1.000
<PER-SHARE-NII>                                   .006
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.006
<EXPENSE-RATIO>                                    .74
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996 SEMI-ANNUAL
REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH
FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 09
   <NAME> VALUE PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   2-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             MAY-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                            3,437
<INVESTMENTS-AT-VALUE>                           3,451
<RECEIVABLES>                                        6
<ASSETS-OTHER>                                      70
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   3,527
<PAYABLE-FOR-SECURITIES>                           326
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            2
<TOTAL-LIABILITIES>                                328
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         3,177
<SHARES-COMMON-STOCK>                            3,143
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                           11
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            (3)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                            14
<NET-ASSETS>                                     3,199
<DIVIDEND-INCOME>                                   10
<INTEREST-INCOME>                                    4
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                     (3)
<NET-INVESTMENT-INCOME>                             11
<REALIZED-GAINS-CURRENT>                           (3)
<APPREC-INCREASE-CURRENT>                           14
<NET-CHANGE-FROM-OPS>                               22
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          3,053
<NUMBER-OF-SHARES-REDEEMED>                       (10)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                           3,099
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                2
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      3
<AVERAGE-NET-ASSETS>                             1,610
<PER-SHARE-NAV-BEGIN>                            1.000
<PER-SHARE-NII>                                   .004
<PER-SHARE-GAIN-APPREC>                           .014
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.018
<EXPENSE-RATIO>                                    .90
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 10
   <NAME> SMALL CAP VALUE PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   2-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             MAY-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                            3,969
<INVESTMENTS-AT-VALUE>                           3,828
<RECEIVABLES>                                       56
<ASSETS-OTHER>                                      24
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   3,908
<PAYABLE-FOR-SECURITIES>                            16
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            2
<TOTAL-LIABILITIES>                                 18
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         4,110
<SHARES-COMMON-STOCK>                            4,185
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                           24
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (103) 
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (141)
<NET-ASSETS>                                     3,890
<DIVIDEND-INCOME>                                   21
<INTEREST-INCOME>                                    6
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                     (3)
<NET-INVESTMENT-INCOME>                             24
<REALIZED-GAINS-CURRENT>                         (103)
<APPREC-INCREASE-CURRENT>                        (141)
<NET-CHANGE-FROM-OPS>                            (220)
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          4,095
<NUMBER-OF-SHARES-REDEEMED>                       (10)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                           3,790
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                3
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      3
<AVERAGE-NET-ASSETS>                             2,135
<PER-SHARE-NAV-BEGIN>                            1.000
<PER-SHARE-NII>                                   .006
<PER-SHARE-GAIN-APPREC>                         (.076)
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               .930
<EXPENSE-RATIO>                                    .85
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 11
   <NAME> VALUE+GROWTH PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   2-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             MAY-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                            1,751
<INVESTMENTS-AT-VALUE>                           1,726
<RECEIVABLES>                                        1
<ASSETS-OTHER>                                      44
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   1,771
<PAYABLE-FOR-SECURITIES>                           127
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            1
<TOTAL-LIABILITIES>                                128
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         1,664
<SHARES-COMMON-STOCK>                            1,620
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            4
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                          (25)
<NET-ASSETS>                                     1,643
<DIVIDEND-INCOME>                                    3
<INTEREST-INCOME>                                    1
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                     (2)
<NET-INVESTMENT-INCOME>                              2
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                         (25)
<NET-CHANGE-FROM-OPS>                             (23)
<EQUALIZATION>                                       2
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,604
<NUMBER-OF-SHARES-REDEEMED>                       (84)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                           1,543
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                1
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      2
<AVERAGE-NET-ASSETS>                               913
<PER-SHARE-NAV-BEGIN>                            1.000
<PER-SHARE-NII>                                   .003
<PER-SHARE-GAIN-APPREC>                           .012
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.015
<EXPENSE-RATIO>                                    .89
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 12
   <NAME> HORIZON 20+ PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   2-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             MAY-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                              583
<INVESTMENTS-AT-VALUE>                             576
<RECEIVABLES>                                        1
<ASSETS-OTHER>                                      54
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                     631
<PAYABLE-FOR-SECURITIES>                            47
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                 47
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                           588
<SHARES-COMMON-STOCK>                              576
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            2
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              1
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           (7)
<NET-ASSETS>                                       584
<DIVIDEND-INCOME>                                    2
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                     (1)
<NET-INVESTMENT-INCOME>                              1
<REALIZED-GAINS-CURRENT>                             1
<APPREC-INCREASE-CURRENT>                          (7)
<NET-CHANGE-FROM-OPS>                              (5)
<EQUALIZATION>                                       1
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            496
<NUMBER-OF-SHARES-REDEEMED>                       (20)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                             484
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                1
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      1
<AVERAGE-NET-ASSETS>                               294
<PER-SHARE-NAV-BEGIN>                            1.000
<PER-SHARE-NII>                                   .024
<PER-SHARE-GAIN-APPREC>                         (.011)
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.013
<EXPENSE-RATIO>                                    .74
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 13
   <NAME> HORIZON 10+ PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   2-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             MAY-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                            1,295
<INVESTMENTS-AT-VALUE>                           1,283
<RECEIVABLES>                                        1
<ASSETS-OTHER>                                      66
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   1,350
<PAYABLE-FOR-SECURITIES>                            38
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            1
<TOTAL-LIABILITIES>                                 39
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         1,317
<SHARES-COMMON-STOCK>                            1,298
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            6
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                          (12)
<NET-ASSETS>                                     1,311
<DIVIDEND-INCOME>                                    1
<INTEREST-INCOME>                                    3
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                     (1)
<NET-INVESTMENT-INCOME>                              3
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                         (12)
<NET-CHANGE-FROM-OPS>                              (9)
<EQUALIZATION>                                       3
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,201
<NUMBER-OF-SHARES-REDEEMED>                        (3)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                           1,211
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                1
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      1
<AVERAGE-NET-ASSETS>                               653
<PER-SHARE-NAV-BEGIN>                            1.000
<PER-SHARE-NII>                                   .019
<PER-SHARE-GAIN-APPREC>                         (.009)
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.010
<EXPENSE-RATIO>                                    .74
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS FINANCIAL INFORMATION EXTRACTED FROM THE 1996 SEMI-ANNUAL
REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH
FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> KEMPER INVESTORS FUND
<SERIES>
   <NUMBER> 14
   <NAME> HORIZON 5 PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   2-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             MAY-01-1996
<PERIOD-END>                               JUN-30-1996
<INVESTMENTS-AT-COST>                              703
<INVESTMENTS-AT-VALUE>                             699
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                      65
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                     764
<PAYABLE-FOR-SECURITIES>                            12
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                 12
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                           752
<SHARES-COMMON-STOCK>                              744
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            4
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           (4)
<NET-ASSETS>                                       752
<DIVIDEND-INCOME>                                    1
<INTEREST-INCOME>                                    2
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                     (1)
<NET-INVESTMENT-INCOME>                              2
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                          (4)
<NET-CHANGE-FROM-OPS>                              (2)
<EQUALIZATION>                                       2
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            697
<NUMBER-OF-SHARES-REDEEMED>                       (53)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                             652
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                1
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      1
<AVERAGE-NET-ASSETS>                               436
<PER-SHARE-NAV-BEGIN>                            1.000
<PER-SHARE-NII>                                   .015
<PER-SHARE-GAIN-APPREC>                         (.005)
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.010
<EXPENSE-RATIO>                                    .74
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>







          Exhibit 77Q1(e)
          Kemper Investors Fund 
          Form N-SAR for the period ended 06/30/96 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT


               AGREEMENT made this 4th day of January, 1996, by and between
          KEMPER INVESTORS FUND, a Massachusetts business trust (the
          "Fund"), and KEMPER FINANCIAL SERVICES, INC., a Delaware
          corporation (the "Adviser").

               WHEREAS, the Fund is an open-end management investment
          company registered under the Investment Company Act of 1940, the
          shares of beneficial interest ("Shares") of which are registered
          under the Securities Act of 1933;

               WHEREAS, the Fund is authorized to issue Shares in separate
          series or portfolios with each representing the interests in a
          separate portfolio of securities and other assets;

               WHEREAS, the Fund wants to retain the Adviser under this
          Agreement to render investment advisory and management services
          to the portfolios of the Fund known as the Money Market
          Portfolio, Total Return Portfolio, High Yield Portfolio, Equity
          Portfolio, Government Securities Portfolio, International
          Portfolio and Small Capitalization Equity Portfolio (the "Initial
          Portfolios"), together with any other Fund portfolios which may
          be established later and served by the Adviser hereunder, being
          herein referred to collectively as the "Portfolios" and
          individually referred to as a "Portfolio"; and

               WHEREAS, the Adviser is willing to render such investment
          advisory and management services for the Initial Portfolios;

               NOW THEREFORE, in consideration of the mutual covenants
          hereinafter contained, it is hereby agreed by and between the
          parties hereto as follows:

          1.   The Fund hereby employs the Adviser to act as the investment
          adviser for the Initial Portfolios and other Portfolios hereunder
          and to manage the investment and reinvestment of the assets of
          each such Portfolio in accordance with the applicable investment
          objectives and policies and limitations, and to administer the
          affairs of each such Portfolio to the extent requested by and
          subject to the supervision of the Board of Trustees of the Fund
          for the period and upon the terms herein set forth, and to place
          orders for the purchase or sale of portfolio securities for the
          Fund's account with brokers or dealers selected by it; and, in
          connection therewith, the Adviser is authorized as the agent of
          the Fund to give instructions to the Custodian of the Fund as to
          the deliveries of securities and payments of cash for the account
          of the Fund.  In connection with the selection of such brokers or












          dealers and the placing of such orders, the Adviser is directed
          to seek for the Fund best execution of orders.  Subject to such
          policies as the Board of Trustees of the Fund determines, the
          Adviser shall not be deemed to have acted unlawfully or to have
          breached any duty, created by this Agreement or otherwise, solely
          by reason of its having caused the Fund to pay a broker or dealer
          an amount of commission for effecting a securities transaction in
          excess of the amount of commission another broker or dealer would
          have charged for effecting that transaction, if the Adviser
          determined in good faith that such amount of commission was
          reasonable in relation to the value of the brokerage and research
          services provided by such broker or dealer viewed in terms of
          either that particular transaction or the Adviser's overall
          responsibilities with respect to the clients of the Adviser as to
          which the Adviser exercises investment discretion.  The Fund
          recognizes that all research services and research that the
          Adviser receives or generates are available for all clients, and
          that the Fund and other clients may benefit thereby.  The
          investment of funds shall be subject to all applicable
          restrictions of the Agreement and Declaration of Trust and By-
          Laws of the Fund as may from time to time be in force.

               The Adviser accepts such employment and agrees during such
          period to render such services, to furnish office facilities and
          equipment and clerical, bookkeeping and administrative services
          for the Fund, to permit any of its officers or employees to serve
          without compensation as trustees or officers of the Fund if
          elected to such positions and to assume the obligations herein
          set forth for the compensation herein provided.  The Adviser
          shall for all purposes herein provided be deemed to be an
          independent contractor and, unless otherwise expressly provided
          or authorized, shall have no authority to act for or represent
          the Fund in any way or otherwise be deemed an agent of the Fund. 
          It is understood and agreed that the Adviser, by separate
          agreements with the Fund, may also serve the Fund in other
          capacities.

          2.   In the event that the Fund establishes one or more
          portfolios other than the Initial Portfolios with respect to
          which it desires to retain the Adviser to render investment
          advisory and management services hereunder, it shall notify the
          Adviser in writing.  If the Adviser is willing to render such
          services, it shall notify the Fund in writing whereupon such
          portfolio or portfolios shall become a Portfolio or Portfolios
          hereunder.

          3.   For the services and facilities described in Section 1, the
          Fund will pay to the Adviser at the end of each calendar month,
          an investment management fee computed at an annual rate of the
          average daily net assets of each of the Portfolios, as specified
          below:


                                          2












          <TABLE>
          <CAPTION>

                    Portfolio                    Annual Rate
                    ---------                    -----------
                    <S>                          <C>
                    Money Market                 .50 of 1%
                    Total Return                 .55 of 1%
                    High Yield                   .60 of 1%
                    Equity                       .60 of 1%
                    Government Securities        .55 of 1%
                    International                .75 of 1%
                    Small Capitalization Equity  .65 of 1%

          </TABLE>        

               The fee as computed above shall be computed separately for,
          and charged as an expense of, each Portfolio based upon the
          average daily net assets of such Portfolio.  For the month and
          year in which this Agreement becomes effective or terminates,
          there shall be an appropriate proration on the basis of the
          number of days that the Agreement is in effect during the month
          and year, respectively.

          4.   The services of the Adviser to the Fund under this Agreement
          are not to be deemed exclusive, and the Adviser shall be free to
          render similar services or other services to others so long as
          its services hereunder are not impaired thereby.

          5.   In addition to the fee of the Adviser, the Fund shall assume
          and pay any expenses for services rendered by a custodian for the
          safekeeping of the Fund's securities or other property, for
          keeping its books of account, for any other charges of the
          custodian, and for calculating the net asset value of the Fund as
          provided in the prospectus of the Fund.  The Adviser shall not be
          required to pay and the Fund shall assume and pay the charges and
          expenses of its operations, including compensation of the
          trustees (other than those affiliated with the Adviser), charges
          and expenses of independent auditors, of legal counsel, of any
          transfer or dividend disbursing agent, and of any registrar of
          the Fund, costs of acquiring and disposing of portfolio
          securities, interest, if any, on obligations incurred by the
          Fund, costs of share certificates and of reports, membership dues
          in the Investment Company Institute or any similar organization,
          costs of reports and notices to shareholders, other like
          miscellaneous expenses and all taxes and fees payable to federal,
          state or other governmental agencies on account of the
          registration of securities issued by the Fund, filing of trust
          documents or otherwise.  The Fund shall not pay or incur any
          obligation for any expenses for which the Fund intends to seek
          reimbursement from the Adviser as herein provided without first
          obtaining the written approval of the Adviser.  The Adviser shall

                                          3












          arrange, if desired by the Fund, for officers or employees of the
          Adviser to serve, without compensation from the Fund, as
          trustees, officers or agents of the Fund if duly elected or
          appointed to such positions and subject to their individual
          consent and to any limitations imposed by law.

               If expenses borne by the Fund for those Portfolios which the
          Adviser manages in any fiscal year (including the Adviser's fee,
          but excluding interest, taxes, fees incurred in acquiring and
          disposing of portfolio securities, distribution services fees,
          extraordinary expenses and any other expenses excludable under
          state securities law limitations) exceed any applicable
          limitation arising under state securities laws, the Adviser will
          reduce its fee or reimburse the Fund for any excess to the extent
          required by such state securities laws.  If for any month the
          expenses of the Fund properly chargeable to the income account
          shall exceed 1/12 of the percentage of average net assets
          allowable as expenses, the payment to the Adviser for that month
          shall be reduced and if necessary the Adviser shall make a refund
          payment to the Fund so that the total net expense will not exceed
          such percentage.  As of the end of the Fund's fiscal year,
          however, the foregoing computations and payments shall be
          readjusted so that the aggregate compensation payable to the
          Adviser for the year is equal to the percentage calculated in
          accordance with Section 3 hereof of the average net asset value
          as determined as described herein throughout the fiscal year,
          diminished to the extent necessary so that the total of the
          aforementioned expense items of the Fund shall not exceed the
          expense limitation.  The aggregate of repayments, if any, by the
          Adviser to the Fund for the year shall be the amount necessary to
          limit the said net expense to said percentage in accordance with
          the foregoing.

               The net asset value for each Portfolio shall be calculated
          in accordance with the provisions of the Fund's prospectus or as
          the trustees may determine in accordance with the provisions of
          the Investment Company Act of 1940.  On each day when net asset
          value is not calculated, the net asset value of a Portfolio shall
          be deemed to be the net asset value of such Portfolio as of the
          close of business on the last day on which such calculation was
          made for the purpose of the foregoing computations.

          6.   Subject to applicable statutes and regulations, it is
          understood that trustees, officers or agents of the Fund are or
          may be interested in the Adviser as officers, directors, agents,
          shareholders or otherwise, and that the officers, directors,
          shareholders and agents of the Adviser may be interested in the
          Fund otherwise than as a trustee, officer or agent.

          7.   The Adviser shall not be liable for any error of judgment or
          of law or for any loss suffered by the Fund in connection with
          the matters to which this Agreement relates, except loss

                                          4












          resulting from willful misfeasance, bad faith or gross negligence
          on the part of the Adviser in the performance of its obligations
          and duties or by reason of its reckless disregard of its
          obligations and duties under this Agreement.

          8.   This Agreement shall become effective with respect to the
          Initial Portfolios on the date hereof and shall remain in full
          force until April 1, 1996, unless sooner terminated as
          hereinafter provided.  This Agreement shall continue in force
          from year to year thereafter with respect to each Portfolio, but
          only as long as such continuance is specifically approved for
          each Portfolio at least annually in the manner required by the
          Investment Company Act of 1940 and the rules and regulations
          thereunder; provided, however, that if the continuation of this
          Agreement is not approved for a Portfolio, the Adviser may
          continue to serve in such capacity for such Portfolio in the
          manner and to the extent permitted by the Investment Company Act
          of 1940 and the rules and regulations thereunder.

               This Agreement shall automatically terminate in the event of
          its assignment and may be terminated at any time without the
          payment of any penalty by the Fund or by the Adviser on sixty
          (60) days written notice to the other party.  The Fund may effect
          termination with respect to any Portfolio by action of the Board
          of Trustees or by vote of a majority of the outstanding voting
          securities of such Portfolio.

               This Agreement may be terminated with respect to any
          Portfolio at any time without the payment of any penalty by the
          Board of Trustees or by vote of a majority of the outstanding
          voting securities of such Portfolio in the event that it shall
          have been established by a court of competent jurisdiction that
          the Adviser or any officer or director of the Adviser has taken
          any action which results in a breach of the covenants of the
          Adviser set forth herein.


















                                          5












               The terms "assignment" and "vote of a majority of the
          outstanding voting securities" shall have the meanings set forth
          in the Investment Company Act of 1940 and the rules and
          regulations thereunder.

               Termination of this Agreement shall not affect the right of
          the Adviser to receive payments on any unpaid balance of the
          compensation described in Section 3 earned prior to such
          termination.

          9.   If any provision of this Agreement shall be held or made
          invalid by a court decision, statute, rule or otherwise, the
          remainder shall not be thereby affected.

          10.  Any notice under this Agreement shall be in writing,
          addressed and delivered or mailed, postage prepaid, to the other
          party at such address as such other party may designate for the
          receipt of such notice.

          11.  All parties hereto are expressly put on notice of the Fund's
          Agreement and Declaration of Trust and all amendments thereto,
          all of which are on file with the Secretary of The Commonwealth
          of Massachusetts, and the limitation of shareholder and trustee
          liability contained therein.  This Agreement has been executed by
          and on behalf of the Fund by its representatives as such
          representatives and not individually, and the obligations of the
          Fund hereunder are not binding upon any of the trustees,
          officers, or shareholders of the Fund individually but are
          binding upon only the assets and property of the Fund.  With
          respect to any claim by the Adviser for recovery of that portion
          of the investment management fee (or any other liability of the
          Fund arising hereunder) allocated to a particular Portfolio,
          whether in accordance with the express terms hereof or otherwise,
          the Adviser shall have recourse solely against the assets of that
          Portfolio to satisfy such claim and shall have no recourse
          against the assets of any other Portfolio for such purpose.

          12.  This Agreement shall be construed in accordance with
          applicable federal law and (except as to Section 11 hereof which
          shall be construed in accordance with the laws of The
          Commonwealth of Massachusetts) the laws of the State of Illinois.












                                          6












          13.  This Agreement is the entire contract between the parties
          relating to the subject matter hereof and supersedes all prior
          agreements between the parties relating to the subject matter
          hereof.

               IN WITNESS WHEREOF, the Fund and the Adviser have caused
          this Agreement to be executed as of the day and year first above
          written.


                                      KEMPER INVESTORS FUND

                                      By:  /s/ John E. Peters
                                         -----------------------------

                                      Title:  Vice President
                                            --------------------------

          ATTEST:

          /s/ Philip J. Collora
          ---------------------------------

          Title:  Secretary
                ---------------------------


                                      KEMPER FINANCIAL SERVICES, INC.


                                      By:  /s/ Patrick H. Dudasik
                                         -----------------------------

                                      Title:  Senior Vice President
                                            --------------------------

          ATTEST:

          /s/ David F. Dierenfeldt
          ----------------------------------

          Title:  Assistant Secretary
                ----------------------------                    






          MRB|W:\FUNDS\NSAR.EXH\KINF-696.77Q|041196



                                          7


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