INVESTORS FUND SERIES
NSAR-B, 1998-03-02
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<PAGE>      PAGE  1
000 B000000 12/31/97
000 C000000 0000810573
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0
000 J000000 A
001 A000000 INVESTORS FUND SERIES
001 B000000 811-5002
001 C000000 3125377000
002 A000000 222 SOUTH RIVERSIDE PLAZA
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60606
002 D020000 5808
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000 16
007 C010100  1
007 C020100 KEMPER MONEY MARKET PORTFOLIO
007 C030100 N
007 C010200  2
007 C020200 KEMPER TOTAL RETURN PORTFOLIO
007 C030200 N
007 C010300  3
007 C020300 KEMPER HIGH YIELD PORTFOLIO
007 C030300 N
007 C010400  4
007 C020400 KEMPER GROWTH PORTFOLIO
007 C030400 N
007 C010500  5
007 C020500 KEMPER GOVERNMENT SECURITIES PORTFOLIO
007 C030500 N
007 C010600  6
007 C020600 KEMPER INTERNATIONAL PORTFOLIO
007 C030600 N
007 C010700  7
007 C020700 KEMPER SMALL CAP GROWTH PORTFOLIO
007 C030700 N
007 C010800  8
007 C020800 KEMPER INVESTMENT GRADE BOND PORTFOLIO
007 C030800 N
007 C010900  9
007 C020900 KEMPER VALUE PORTFOLIO
007 C030900 N
007 C011000 10
<PAGE>      PAGE  2
007 C021000 KEMPER SMALL CAP VALUE PORTFOLIO
007 C031000 N
007 C011100 11
007 C021100 KEMPER VALUE+GROWTH PORTFOLIO
007 C031100 N
007 C011200 12
007 C021200 KEMPER HORIZON 20+ PORTFOLIO
007 C031200 N
007 C011300 13
007 C021300 KEMPER HORIZON 10+ PORTFOLIO
007 C031300 N
007 C011400 14
007 C021400 KEMPER HORIZON 5 PORTFOLIO
007 C031400 N
007 C011500 15
007 C021500 KEMPER BLUE CHIP PORTFOLIO
007 C031500 N
007 C011600 16
007 C021600 KEMPER GLOBAL PORTFOLIO
007 C031600 N
007 C011700 17
007 C011800 18
007 C011900 19
007 C012000 20
008 A00AA01 SCUDDER KEMPER INVESTMENTS, INC.
008 B00AA01 A
008 C00AA01 801-6634
008 D01AA01 CHICAGO
008 D02AA01 IL
008 D03AA01 60606
008 D04AA01 5808
010 A00AA01  KEMPER DISTRIBUTORS, INC.
010 B00AA01 8-47765
010 C01AA01 CHICAGO
010 C02AA01 IL
010 C03AA01 60606
010 C04AA01 5808
011 A00AA01  KEMPER DISTRIBUTORS, INC.
011 B00AA01 8-47765
011 C01AA01 CHICAGO
011 C02AA01 IL
011 C03AA01 60606
011 C04AA01 5808
012 A00AA01 INVESTORS FIDUCIARY TRUST COMPANY
012 B00AA01 85-05488
012 C01AA01 KANSAS CITY
012 C02AA01 MO
012 C03AA01 64105
013 A00AA01 ERNST & YOUNG LLP
013 B01AA01 CHICAGO
013 B02AA01 IL
<PAGE>      PAGE  3
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
015 B00AA02 C
015 C01AA02 BROOKLYN
015 C02AA02 NY
015 C03AA02 11245
015 E04AA02 X
015 A00AA03 STATE STREET BANK AND TRUST COMPANY
015 B00AA03 S
015 C01AA03 BOSTON
015 C02AA03 MA
015 C03AA03 02110
015 E01AA03 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00   16
019 C00AA00 KINVESTRFD
020 A000001 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
020 B000001 13-5674085
020 C000001    273
020 A000002 SALOMON BROTHERS INC.
020 B000002 13-3082694
020 C000002    271
020 A000003 SMITH BARNEY INC.
020 B000003 13-1912900
020 C000003    248
020 A000004 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
020 B000004 13-2655998
020 C000004    168
020 A000005 ALEX BROWN & SONS INCORPORATED
020 B000005 52-1319768
020 C000005    167
020 A000006 DONALDSON, LUFKIN & JENRETTE SECURITIES CORP.
020 B000006 58-1574040
020 C000006    148
020 A000007 WERTHEIM SCHRODER & CO. INCORPORATED
020 B000007 13-2697272
020 C000007    146
020 A000008 LEHMAN BROTHERS INC.
<PAGE>      PAGE  4
020 B000008 13-2518466
020 C000008    146
020 A000009 PAINEWEBBER INC.
020 B000009 13-2638166
020 C000009    127
020 A000010 BEAR, STEARNS & CO. INC.
020 B000010 13-3299429
020 C000010    117
021  000000     4629
022 A000001 GOLDMAN, SACHS & CO.
022 B000001 13-5108880
022 C000001   3805136
022 D000001    284867
022 A000002 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000002 13-5674085
022 C000002   1371172
022 D000002    182746
022 A000003 LEHMAN BROTHERS INC.
022 B000003 13-2518466
022 C000003    763196
022 D000003    167444
022 A000004 CS FIRST BOSTON CORPORATION
022 B000004 13-5659485
022 C000004    535610
022 D000004     80175
022 A000005 MORGAN STANLEY & CO. INCORPORATED
022 B000005 13-2655998
022 C000005    210942
022 D000005     95996
022 A000006 BEAR STEARNS & CO. INC.
022 B000006 13-3299429
022 C000006    151263
022 D000006    147969
022 A000007 FIRST CHICAGO NBD CORPORATION
022 B000007 13-0899825
022 C000007    217056
022 D000007     53602
022 A000008 SALOMON BROTHERS INC.
022 B000008 13-3082694
022 C000008     80675
022 D000008     72854
022 A000009 DONALDSON, LUFKIN & JENRETTE SECURITIES CORP.
022 B000009 13-2741729
022 C000009     65348
022 D000009     56265
022 A000010 UBS SECURITIES INC.
022 B000010 13-2932996
022 C000010     51355
022 D000010     40057
023 C000000    7975563
023 D000000    1667462
<PAGE>      PAGE  5
026 A000000 N
026 B000000 Y
026 C000000 Y
026 D000000 Y
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 N
027  000000 Y
029  00AA00 N
030 A00AA00      0
030 B00AA00  0.00
030 C00AA00  0.00
031 A00AA00      0
031 B00AA00      0
032  00AA00      0
033  00AA00      0
034  00AA00 N
035  00AA00      0
036 B00AA00      0
037  00AA00 N
038  00AA00      0
039  00AA00 N
040  00AA00 N
042 A00AA00   0
042 B00AA00   0
042 C00AA00   0
042 D00AA00   0
042 E00AA00   0
042 F00AA00   0
042 G00AA00   0
042 H00AA00   0
043  00AA00      0
044  00AA00      0
049  00AA00 N
050  00AA00 N
051  00AA00 N
052  00AA00 N
053 A00AA00 N
054 A00AA00 Y
054 B00AA00 Y
054 C00AA00 N
054 D00AA00 N
054 E00AA00 N
054 F00AA00 N
054 G00AA00 N
054 H00AA00 Y
054 I00AA00 N
054 J00AA00 Y
054 K00AA00 N
<PAGE>      PAGE  6
054 L00AA00 N
054 M00AA00 Y
054 N00AA00 N
054 O00AA00 N
058 A00AA00 N
059  00AA00 Y
060 A00AA00 Y
060 B00AA00 Y
061  00AA00      500
077 A000000 Y
077 B000000 Y
077 C000000 N
077 D000000 N
077 E000000 N
077 F000000 N
077 G000000 N
077 H000000 N
077 I000000 N
077 J000000 N
077 K000000 N
077 L000000 N
077 M000000 N
077 N000000 N
077 O000000 Y
077 P000000 N
077 Q010000 Y
077 Q020000 N
077 Q030000 N
078  000000 N
080 A00AA00 ICI MUTUAL INSURANCE COMPANY
080 C00AA00    60000
081 A00AA00 Y
081 B00AA00  88
082 A00AA00 Y
082 B00AA00       50
083 A00AA00 N
083 B00AA00        0
084 A00AA00 N
084 B00AA00        0
085 A00AA00 Y
085 B00AA00 N
024  000100 Y
025 A000101 BEAR STEARNS COS., INC.
025 B000101 13-3299429
025 C000101 D
025 D000101    2000
025 A000102 GOLDMAN SACHS GROUP, L.P.
025 B000102 13-5108880
025 C000102 D
025 D000102    2000
025 A000103 LEHMAN BROTHERS HOLDINGS INC.
<PAGE>      PAGE  7
025 B000103 13-2518466
025 C000103 D
025 D000103    2000
025 A000104 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
025 B000104 13-5674085
025 C000104 D
025 D000104    2000
025 A000105 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
025 B000105 13-2655998
025 C000105 D
025 D000105    2000
025 D000106       0
025 D000107       0
025 D000108       0
028 A010100     21718
028 A020100       383
028 A030100         0
028 A040100     27200
028 B010100     42963
028 B020100       404
028 B030100         0
028 B040100      5690
028 C010100      6855
028 C020100       509
028 C030100         0
028 C040100     15889
028 D010100     26949
028 D020100       455
028 D030100         0
028 D040100     31128
028 E010100      7301
028 E020100       492
028 E030100         0
028 E040100     14957
028 F010100      7207
028 F020100       429
028 F030100         0
028 F040100     13774
028 G010100    112993
028 G020100      2672
028 G030100         0
028 G040100    108638
028 H000100         0
045  000100 Y
046  000100 N
047  000100 Y
048  000100  0.500
048 A010100        0
048 A020100 0.000
048 B010100        0
048 B020100 0.000
<PAGE>      PAGE  8
048 C010100        0
048 C020100 0.000
048 D010100        0
048 D020100 0.000
048 E010100        0
048 E020100 0.000
048 F010100        0
048 F020100 0.000
048 G010100        0
048 G020100 0.000
048 H010100        0
048 H020100 0.000
048 I010100        0
048 I020100 0.000
048 J010100        0
048 J020100 0.000
048 K010100        0
048 K020100 0.000
055 A000100 Y
055 B000100 N
056  000100 Y
057  000100 N
062 A000100 Y
062 B000100   0.0
062 C000100   0.0
062 D000100   0.0
062 E000100   0.0
062 F000100  11.0
062 G000100   0.0
062 H000100   0.0
062 I000100  88.0
062 J000100   0.0
062 K000100   0.0
062 L000100   0.0
062 M000100   0.0
062 N000100   0.0
062 O000100   0.0
062 P000100   0.0
062 Q000100   0.0
062 R000100   0.0
063 A000100  35
063 B000100  0.0
064 A000100 N
064 B000100 N
066 A000100 N
067  000100 N
068 A000100 N
068 B000100 N
069  000100 N
070 A010100 Y
070 A020100 Y
<PAGE>      PAGE  9
070 B010100 N
070 B020100 N
070 C010100 N
070 C020100 N
070 D010100 N
070 D020100 N
070 E010100 N
070 E020100 N
070 F010100 N
070 F020100 N
070 G010100 N
070 G020100 N
070 H010100 N
070 H020100 N
070 I010100 N
070 I020100 N
070 J010100 Y
070 J020100 N
070 K010100 N
070 K020100 N
070 L010100 Y
070 L020100 Y
070 M010100 N
070 M020100 N
070 N010100 N
070 N020100 N
070 O010100 N
070 O020100 N
070 P010100 N
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100         0
071 B000100         0
071 C000100         0
071 D000100    0
072 A000100 12
072 B000100     5678
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072 D000100        0
072 E000100        0
072 F000100      497
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072 I000100        0
072 J000100       22
072 K000100        0
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072 M000100       13
<PAGE>      PAGE  10
072 N000100        0
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072 P000100        0
072 Q000100        0
072 R000100        7
072 S000100        2
072 T000100        0
072 U000100        0
072 V000100        0
072 W000100        1
072 X000100      552
072 Y000100        0
072 Z000100     5126
072AA000100        0
072BB000100        0
072CC010100        0
072CC020100        0
072DD010100     5126
072DD020100        0
072EE000100        0
073 A010100   0.0500
073 A020100   0.0000
073 B000100   0.0000
073 C000100   0.0000
074 A000100     2577
074 B000100        0
074 C000100    99159
074 D000100        0
074 E000100        0
074 F000100        0
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100        0
074 K000100        0
074 L000100      204
074 M000100        0
074 N000100   101940
074 O000100        0
074 P000100       41
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100     1756
074 S000100        0
074 T000100   100143
074 U010100   100143
074 U020100        0
074 V010100     1.00
074 V020100     0.00
<PAGE>      PAGE  11
074 W000100   0.9999
074 X000100        8
074 Y000100        0
075 A000100    99774
075 B000100        0
076  000100     0.00
024  000200 Y
025 A000201 LEHMAN BROTHERS HOLDINGS, INC.
025 B000201 13-2518466
025 C000201 E
025 D000201    1296
025 A000202 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
025 B000202 13-2655998
025 C000202 E
025 D000202    7686
025 A000203 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
025 B000203 13-2655998
025 C000203 D
025 D000203     764
025 D000204       0
025 D000205       0
025 D000206       0
025 D000207       0
025 D000208       0
028 A010200      5156
028 A020200         0
028 A030200         0
028 A040200      9283
028 B010200      3977
028 B020200         0
028 B030200         0
028 B040200     11335
028 C010200      4667
028 C020200         0
028 C030200         0
028 C040200      6619
028 D010200      4898
028 D020200         0
028 D030200         0
028 D040200      7744
028 E010200     10635
028 E020200         0
028 E030200         0
028 E040200      5435
028 F010200      4938
028 F020200         0
028 F030200         0
028 F040200      6018
028 G010200     34271
028 G020200         0
028 G030200         0
<PAGE>      PAGE  12
028 G040200     46434
028 H000200         0
045  000200 Y
046  000200 N
047  000200 Y
048  000200  0.550
048 A010200        0
048 A020200 0.000
048 B010200        0
048 B020200 0.000
048 C010200        0
048 C020200 0.000
048 D010200        0
048 D020200 0.000
048 E010200        0
048 E020200 0.000
048 F010200        0
048 F020200 0.000
048 G010200        0
048 G020200 0.000
048 H010200        0
048 H020200 0.000
048 I010200        0
048 I020200 0.000
048 J010200        0
048 J020200 0.000
048 K010200        0
048 K020200 0.000
055 A000200 Y
055 B000200 N
056  000200 Y
057  000200 N
062 A000200 N
062 B000200   0.0
062 C000200   0.0
062 D000200   0.0
062 E000200   0.0
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062 O000200   0.0
062 P000200   0.0
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062 R000200   0.0
066 A000200 Y
<PAGE>      PAGE  13
066 B000200 N
066 C000200 N
066 D000200 N
066 E000200 N
066 F000200 N
066 G000200 Y
067  000200 Y
068 A000200 N
068 B000200 N
069  000200 N
070 A010200 Y
070 A020200 Y
070 B010200 Y
070 B020200 N
070 C010200 N
070 C020200 N
070 D010200 Y
070 D020200 N
070 E010200 Y
070 E020200 N
070 F010200 Y
070 F020200 N
070 G010200 Y
070 G020200 N
070 H010200 Y
070 H020200 N
070 I010200 N
070 I020200 N
070 J010200 Y
070 J020200 N
070 K010200 N
070 K020200 N
070 L010200 Y
070 L020200 Y
070 M010200 Y
070 M020200 N
070 N010200 Y
070 N020200 N
070 O010200 N
070 O020200 N
070 P010200 N
070 P020200 N
070 Q010200 N
070 Q020200 N
070 R010200 N
070 R020200 N
071 A000200    870178
071 B000200    928761
071 C000200    716128
071 D000200  122
072 A000200 12
<PAGE>      PAGE  14
072 B000200    21441
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<PAGE>      PAGE  15
074 P000200      359
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045  000300 Y
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<PAGE>      PAGE  16
048  000300  0.600
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048 B010300        0
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048 C010300        0
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048 D010300        0
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048 E010300        0
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048 G010300        0
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048 H010300        0
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048 I010300        0
048 I020300 0.000
048 J010300        0
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048 K010300        0
048 K020300 0.000
055 A000300 Y
055 B000300 N
056  000300 Y
057  000300 N
062 A000300 Y
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062 C000300   0.0
062 D000300   0.0
062 E000300   0.0
062 F000300   0.0
062 G000300   0.0
062 H000300   0.0
062 I000300   9.6
062 J000300   0.0
062 K000300   0.0
062 L000300   0.0
062 M000300   0.4
062 N000300   0.0
062 O000300   0.0
062 P000300  87.1
062 Q000300   0.0
062 R000300   1.2
063 A000300   0
063 B000300  8.3
064 A000300 N
064 B000300 Y
065  000300 N
066 A000300 N
<PAGE>      PAGE  17
067  000300 N
068 A000300 N
068 B000300 N
069  000300 N
070 A010300 Y
070 A020300 Y
070 B010300 N
070 B020300 N
070 C010300 Y
070 C020300 N
070 D010300 Y
070 D020300 N
070 E010300 Y
070 E020300 Y
070 F010300 Y
070 F020300 N
070 G010300 Y
070 G020300 N
070 H010300 Y
070 H020300 N
070 I010300 N
070 I020300 N
070 J010300 Y
070 J020300 Y
070 K010300 N
070 K020300 N
070 L010300 Y
070 L020300 Y
070 M010300 Y
070 M020300 Y
070 N010300 Y
070 N020300 N
070 O010300 N
070 O020300 N
070 P010300 N
070 P020300 N
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070 Q020300 N
070 R010300 N
070 R020300 N
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<PAGE>      PAGE  18
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<PAGE>      PAGE  19
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<PAGE>      PAGE  20
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<PAGE>      PAGE  22
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<PAGE>      PAGE  23
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<PAGE>      PAGE  25
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<PAGE>      PAGE  27
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<PAGE>      PAGE  29
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<PAGE>      PAGE  30
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<PAGE>      PAGE  31
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<PAGE>      PAGE  33
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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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<PAGE>      PAGE  41
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<PAGE>      PAGE  43
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<PAGE>      PAGE  47
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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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<PAGE>      PAGE  52
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<PAGE>      PAGE  54
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<PAGE>      PAGE  55
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074 O001200      439
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<PAGE>      PAGE  56
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025 B001301 13-3299429
025 C001301 E
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025 A001302 MERRILL LYNCH & CO.
025 B001302 13-5674085
025 C001302 E
025 D001302      80
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025 B001303 13-2655998
025 C001303 E
025 D001303      59
025 A001304 FIRST CHICAGO NBD CORP.
025 B001304 36-0899825
025 C001304 E
025 D001304      42
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025 D001306       0
025 D001307       0
025 D001308       0
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028 C031300         0
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028 D031300         0
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028 F011300      2094
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028 F031300         0
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<PAGE>      PAGE  57
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048 J011300        0
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062 N001300   0.0
062 O001300   0.0
062 P001300   0.0
062 Q001300   0.0
062 R001300   0.0
<PAGE>      PAGE  58
063 A001300   0
063 B001300  0.0
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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
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070 A021300 Y
070 B011300 Y
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070 D011300 Y
070 D021300 N
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070 E021300 N
070 F011300 Y
070 F021300 N
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070 G021300 N
070 H011300 Y
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070 I011300 N
070 I021300 N
070 J011300 Y
070 J021300 N
070 K011300 N
070 K021300 N
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070 L021300 Y
070 M011300 Y
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070 O021300 N
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070 P021300 N
070 Q011300 N
070 Q021300 N
070 R011300 N
070 R021300 N
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<PAGE>      PAGE  59
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<PAGE>      PAGE  60
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025 A001403 MERRILL LYNCH & CO.
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025 A001404 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
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<PAGE>      PAGE  61
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<PAGE>      PAGE  62
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066 D001400 N
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066 F001400 Y
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070 F021400 Y
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070 I011400 N
070 I021400 N
070 J011400 Y
070 J021400 N
070 K011400 N
070 K021400 N
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<PAGE>      PAGE  63
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<PAGE>      PAGE  64
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024  001500 Y
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025 B001501 36-0899825
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025 D001501     334
025 A001502 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
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025 D001504       0
025 D001505       0
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<PAGE>      PAGE  65
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<PAGE>      PAGE  66
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<PAGE>      PAGE  67
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<PAGE>      PAGE  68
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<PAGE>      PAGE  69
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<PAGE>      PAGE  70
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<PAGE>      PAGE  71
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<PAGE>      PAGE  72
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SIGNATURE   PHILIP J. COLLORA                            
TITLE       SECRETARY           
 


<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 001
   <NAME> KEMPER MONEY MARKET PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                           99,159
<INVESTMENTS-AT-VALUE>                          99,159
<RECEIVABLES>                                      204
<ASSETS-OTHER>                                   2,577
<OTHER-ITEMS-ASSETS>                                 0
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<SENIOR-EQUITY>                                      0
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<SHARES-COMMON-STOCK>                          100,143
<SHARES-COMMON-PRIOR>                           70,601
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
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<OVERDISTRIBUTION-GAINS>                             0
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<NET-ASSETS>                                   100,143
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                5,678
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (552)
<NET-INVESTMENT-INCOME>                          5,126
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                            5,126
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (5,126)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                        279,361
<NUMBER-OF-SHARES-REDEEMED>                  (254,834)
<SHARES-REINVESTED>                              5,015
<NET-CHANGE-IN-ASSETS>                          29,542
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              497
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    552
<AVERAGE-NET-ASSETS>                            99,774
<PER-SHARE-NAV-BEGIN>                             1.00
<PER-SHARE-NII>                                    .05
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                             (.05)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               1.00
<EXPENSE-RATIO>                                    .55
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 002
   <NAME> KEMPER TOTAL RETURN PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                          708,931
<INVESTMENTS-AT-VALUE>                         787,904
<RECEIVABLES>                                   13,199
<ASSETS-OTHER>                                     770
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 801,873
<PAYABLE-FOR-SECURITIES>                        13,986
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          891
<TOTAL-LIABILITIES>                             14,877
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       573,376
<SHARES-COMMON-STOCK>                          278,859
<SHARES-COMMON-PRIOR>                          247,603
<ACCUMULATED-NII-CURRENT>                       24,294
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        110,353
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        78,973
<NET-ASSETS>                                   786,996
<DIVIDEND-INCOME>                                7,613
<INTEREST-INCOME>                               21,441
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (4,441)
<NET-INVESTMENT-INCOME>                         24,613
<REALIZED-GAINS-CURRENT>                       112,479
<APPREC-INCREASE-CURRENT>                      (3,457)
<NET-CHANGE-FROM-OPS>                          133,635
<EQUALIZATION>                                   (285)
<DISTRIBUTIONS-OF-INCOME>                     (21,303)
<DISTRIBUTIONS-OF-GAINS>                      (87,579)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         20,361
<NUMBER-OF-SHARES-REDEEMED>                   (35,664)
<SHARES-REINVESTED>                             46,559
<NET-CHANGE-IN-ASSETS>                          89,894
<ACCUMULATED-NII-PRIOR>                         21,298
<ACCUMULATED-GAINS-PRIOR>                       85,424
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            4,072
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  4,441
<AVERAGE-NET-ASSETS>                           738,048
<PER-SHARE-NAV-BEGIN>                            2.815
<PER-SHARE-NII>                                   .090
<PER-SHARE-GAIN-APPREC>                           .377
<PER-SHARE-DIVIDEND>                            (.090)
<PER-SHARE-DISTRIBUTIONS>                       (.370)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              2.822
<EXPENSE-RATIO>                                    .60
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 003
   <NAME> KEMPER HIGH YIELD PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                          372,411
<INVESTMENTS-AT-VALUE>                         384,800
<RECEIVABLES>                                    7,036
<ASSETS-OTHER>                                     837
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 392,673
<PAYABLE-FOR-SECURITIES>                           784
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          225
<TOTAL-LIABILITIES>                              1,009
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       374,467
<SHARES-COMMON-STOCK>                          302,191
<SHARES-COMMON-PRIOR>                          225,904
<ACCUMULATED-NII-CURRENT>                       24,028
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                       (19,220)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        12,389
<NET-ASSETS>                                   391,664
<DIVIDEND-INCOME>                                  155
<INTEREST-INCOME>                               32,534
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (2,152)
<NET-INVESTMENT-INCOME>                         30,537
<REALIZED-GAINS-CURRENT>                         2,226
<APPREC-INCREASE-CURRENT>                        3,576
<NET-CHANGE-FROM-OPS>                           36,339
<EQUALIZATION>                                     633
<DISTRIBUTIONS-OF-INCOME>                     (25,931)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                        153,373
<NUMBER-OF-SHARES-REDEEMED>                   (99,314)
<SHARES-REINVESTED>                             22,228
<NET-CHANGE-IN-ASSETS>                         102,349
<ACCUMULATED-NII-PRIOR>                         18,803
<ACCUMULATED-GAINS-PRIOR>                     (21,460)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            1,991
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,152
<AVERAGE-NET-ASSETS>                           329,578
<PER-SHARE-NAV-BEGIN>                            1.281
<PER-SHARE-NII>                                   .116
<PER-SHARE-GAIN-APPREC>                           .019
<PER-SHARE-DIVIDEND>                            (.120)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.296
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 004
   <NAME> KEMPER GROWTH PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                          514,828
<INVESTMENTS-AT-VALUE>                         553,908
<RECEIVABLES>                                   13,441
<ASSETS-OTHER>                                   1,134
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 568,483
<PAYABLE-FOR-SECURITIES>                         4,880
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          587
<TOTAL-LIABILITIES>                              5,467
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       427,851
<SHARES-COMMON-STOCK>                          187,617
<SHARES-COMMON-PRIOR>                          144,606
<ACCUMULATED-NII-CURRENT>                        5,320
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         90,779
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        39,066
<NET-ASSETS>                                   563,016
<DIVIDEND-INCOME>                                4,868
<INTEREST-INCOME>                                  724
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (3,388)
<NET-INVESTMENT-INCOME>                          2,204
<REALIZED-GAINS-CURRENT>                        91,317
<APPREC-INCREASE-CURRENT>                        6,100
<NET-CHANGE-FROM-OPS>                           99,621
<EQUALIZATION>                                   1,028
<DISTRIBUTIONS-OF-INCOME>                      (2,753)
<DISTRIBUTIONS-OF-GAINS>                     (111,508)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         17,325
<NUMBER-OF-SHARES-REDEEMED>                   (24,302)
<SHARES-REINVESTED>                             49,988
<NET-CHANGE-IN-ASSETS>                          75,533
<ACCUMULATED-NII-PRIOR>                          5,752
<ACCUMULATED-GAINS-PRIOR>                      110,059
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            3,142
<INTEREST-EXPENSE>                                   0                                 
<GROSS-EXPENSE>                                  3,388
<AVERAGE-NET-ASSETS>                           520,492
<PER-SHARE-NAV-BEGIN>                            3.371
<PER-SHARE-NII>                                   .012
<PER-SHARE-GAIN-APPREC>                           .448
<PER-SHARE-DIVIDEND>                            (.020)
<PER-SHARE-DISTRIBUTIONS>                       (.810)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              3.001
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 05
   <NAME> KEMPER GOVERNMENT SECURITIES PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                           89,195
<INVESTMENTS-AT-VALUE>                          91,593
<RECEIVABLES>                                      898
<ASSETS-OTHER>                                   1,421
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  93,912
<PAYABLE-FOR-SECURITIES>                         7,140
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           90
<TOTAL-LIABILITIES>                              7,230
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        75,198
<SHARES-COMMON-STOCK>                           71,799
<SHARES-COMMON-PRIOR>                           69,839
<ACCUMULATED-NII-CURRENT>                       14,263
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (5,177)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,398
<NET-ASSETS>                                    86,682
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                6,484
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (534)
<NET-INVESTMENT-INCOME>                          5,950
<REALIZED-GAINS-CURRENT>                         (181)
<APPREC-INCREASE-CURRENT>                        1,376
<NET-CHANGE-FROM-OPS>                            7,145
<EQUALIZATION>                                      17
<DISTRIBUTIONS-OF-INCOME>                      (6,694)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         17,121
<NUMBER-OF-SHARES-REDEEMED>                   (21,158)
<SHARES-REINVESTED>                              5,997
<NET-CHANGE-IN-ASSETS>                           2,368
<ACCUMULATED-NII-PRIOR>                         15,002
<ACCUMULATED-GAINS-PRIOR>                      (5,008)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              460
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    534
<AVERAGE-NET-ASSETS>                            83,906
<PER-SHARE-NAV-BEGIN>                            1.207
<PER-SHARE-NII>                                   .084
<PER-SHARE-GAIN-APPREC>                           .016
<PER-SHARE-DIVIDEND>                            (.100)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.207
<EXPENSE-RATIO>                                    .64
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY INFORMATION EXTRACTED FROM THE 1997 ANNUAL REPORT
TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 06
   <NAME> KEMPER INTERNATIONAL PORTFOLIO
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                          163,149
<INVESTMENTS-AT-VALUE>                         199,414
<RECEIVABLES>                                    1,061
<ASSETS-OTHER>                                      86
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 200,561
<PAYABLE-FOR-SECURITIES>                           118
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          397
<TOTAL-LIABILITIES>                                515
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       154,007
<SHARES-COMMON-STOCK>                          123,869
<SHARES-COMMON-PRIOR>                          104,504
<ACCUMULATED-NII-CURRENT>                        3,281
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          6,511
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        36,247
<NET-ASSETS>                                   200,046
<DIVIDEND-INCOME>                                2,432
<INTEREST-INCOME>                                  612
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,714)
<NET-INVESTMENT-INCOME>                          1,330
<REALIZED-GAINS-CURRENT>                         8,474
<APPREC-INCREASE-CURRENT>                        6,353
<NET-CHANGE-FROM-OPS>                           16,157
<EQUALIZATION>                                     101
<DISTRIBUTIONS-OF-INCOME>                      (2,135)
<DISTRIBUTIONS-OF-GAINS>                       (7,472)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         36,340
<NUMBER-OF-SHARES-REDEEMED>                   (23,422)
<SHARES-REINVESTED>                              6,447
<NET-CHANGE-IN-ASSETS>                          36,571
<ACCUMULATED-NII-PRIOR>                          2,739
<ACCUMULATED-GAINS-PRIOR>                        6,755
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            1,419
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,714
<AVERAGE-NET-ASSETS>                           187,271
<PER-SHARE-NAV-BEGIN>                            1.564
<PER-SHARE-NII>                                   .011
<PER-SHARE-GAIN-APPREC>                           .130
<PER-SHARE-DIVIDEND>                            (.020)
<PER-SHARE-DISTRIBUTIONS>                       (.070)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.615
<EXPENSE-RATIO>                                    .91
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 007
   <NAME> KEMPER SMALL CAP GROWTH PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                          124,874
<INVESTMENTS-AT-VALUE>                         135,629
<RECEIVABLES>                                      227
<ASSETS-OTHER>                                   2,562
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 138,418
<PAYABLE-FOR-SECURITIES>                           917
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           86
<TOTAL-LIABILITIES>                              1,003
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       101,213
<SHARES-COMMON-STOCK>                           69,790
<SHARES-COMMON-PRIOR>                           41,235
<ACCUMULATED-NII-CURRENT>                          644
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         24,803
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        10,755
<NET-ASSETS>                                   137,415
<DIVIDEND-INCOME>                                  357
<INTEREST-INCOME>                                  532
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (692)
<NET-INVESTMENT-INCOME>                            197
<REALIZED-GAINS-CURRENT>                        25,239
<APPREC-INCREASE-CURRENT>                        2,506
<NET-CHANGE-FROM-OPS>                           27,942
<EQUALIZATION>                                     100
<DISTRIBUTIONS-OF-INCOME>                        (445)
<DISTRIBUTIONS-OF-GAINS>                       (8,458)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         34,187
<NUMBER-OF-SHARES-REDEEMED>                   (11,990)
<SHARES-REINVESTED>                              6,358
<NET-CHANGE-IN-ASSETS>                          68,278
<ACCUMULATED-NII-PRIOR>                            444
<ACCUMULATED-GAINS-PRIOR>                        8,370
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              633
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    692
<AVERAGE-NET-ASSETS>                            97,257
<PER-SHARE-NAV-BEGIN>                            1.677
<PER-SHARE-NII>                                   .004
<PER-SHARE-GAIN-APPREC>                           .488
<PER-SHARE-DIVIDEND>                            (.010)
<PER-SHARE-DISTRIBUTIONS>                       (.190)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.969
<EXPENSE-RATIO>                                    .71
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 008
   <NAME> KEMPER INVESTMENT GRADE BOND PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                           14,891
<INVESTMENTS-AT-VALUE>                          15,044
<RECEIVABLES>                                      269
<ASSETS-OTHER>                                     205
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  15,518
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           14
<TOTAL-LIABILITIES>                                 14
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        14,003
<SHARES-COMMON-STOCK>                           13,863
<SHARES-COMMON-PRIOR>                            1,929
<ACCUMULATED-NII-CURRENT>                        1,207
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            141
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           153
<NET-ASSETS>                                    15,504
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  535
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (61)
<NET-INVESTMENT-INCOME>                            474
<REALIZED-GAINS-CURRENT>                           141
<APPREC-INCREASE-CURRENT>                          152
<NET-CHANGE-FROM-OPS>                              767
<EQUALIZATION>                                     713
<DISTRIBUTIONS-OF-INCOME>                         (41)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         13,271
<NUMBER-OF-SHARES-REDEEMED>                    (1,377)
<SHARES-REINVESTED>                                 40
<NET-CHANGE-IN-ASSETS>                          13,506
<ACCUMULATED-NII-PRIOR>                             59
<ACCUMULATED-GAINS-PRIOR>                            2
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               46
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     61
<AVERAGE-NET-ASSETS>                             7,661
<PER-SHARE-NAV-BEGIN>                            1.036
<PER-SHARE-NII>                                   .066
<PER-SHARE-GAIN-APPREC>                           .026
<PER-SHARE-DIVIDEND>                            (.010)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.118
<EXPENSE-RATIO>                                    .80
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 09
   <NAME> KEMPER VALUE PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                          149,666
<INVESTMENTS-AT-VALUE>                         164,658
<RECEIVABLES>                                      597
<ASSETS-OTHER>                                       1
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 165,256
<PAYABLE-FOR-SECURITIES>                         2,648
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          228
<TOTAL-LIABILITIES>                              2,876
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       139,101
<SHARES-COMMON-STOCK>                          107,003
<SHARES-COMMON-PRIOR>                           18,154
<ACCUMULATED-NII-CURRENT>                        4,042
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          4,245
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        14,992
<NET-ASSETS>                                   162,380
<DIVIDEND-INCOME>                                1,865
<INTEREST-INCOME>                                  703
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (650)
<NET-INVESTMENT-INCOME>                          1,918
<REALIZED-GAINS-CURRENT>                         4,262
<APPREC-INCREASE-CURRENT>                       13,595
<NET-CHANGE-FROM-OPS>                           19,775
<EQUALIZATION>                                   2,045
<DISTRIBUTIONS-OF-INCOME>                        (389)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                        100,098
<NUMBER-OF-SHARES-REDEEMED>                   (11,573)
<SHARES-REINVESTED>                                324
<NET-CHANGE-IN-ASSETS>                         141,075
<ACCUMULATED-NII-PRIOR>                            270
<ACCUMULATED-GAINS-PRIOR>                          181
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              604
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    650
<AVERAGE-NET-ASSETS>                            80,834
<PER-SHARE-NAV-BEGIN>                            1.174
<PER-SHARE-NII>                                   .031
<PER-SHARE-GAIN-APPREC>                           .323
<PER-SHARE-DIVIDEND>                            (.010)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.518
<EXPENSE-RATIO>                                    .80
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 10
   <NAME> KEMPER SMALL CAP VALUE PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                           69,524
<INVESTMENTS-AT-VALUE>                          75,583
<RECEIVABLES>                                      180
<ASSETS-OTHER>                                     517
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  76,280
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          172
<TOTAL-LIABILITIES>                                172
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        68,517
<SHARES-COMMON-STOCK>                           62,003
<SHARES-COMMON-PRIOR>                           13,064
<ACCUMULATED-NII-CURRENT>                          927
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            605
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         6,059
<NET-ASSETS>                                    76,108
<DIVIDEND-INCOME>                                  364
<INTEREST-INCOME>                                  464
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (344)
<NET-INVESTMENT-INCOME>                            484
<REALIZED-GAINS-CURRENT>                           759
<APPREC-INCREASE-CURRENT>                        5,315
<NET-CHANGE-FROM-OPS>                            6,558
<EQUALIZATION>                                     505
<DISTRIBUTIONS-OF-INCOME>                        (234)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         55,160
<NUMBER-OF-SHARES-REDEEMED>                    (6,460)
<SHARES-REINVESTED>                                239
<NET-CHANGE-IN-ASSETS>                          62,801
<ACCUMULATED-NII-PRIOR>                            172
<ACCUMULATED-GAINS-PRIOR>                        (154)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              307
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    344
<AVERAGE-NET-ASSETS>                            40,822
<PER-SHARE-NAV-BEGIN>                            1.019
<PER-SHARE-NII>                                   .012
<PER-SHARE-GAIN-APPREC>                           .206
<PER-SHARE-DIVIDEND>                            (.010)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.227
<EXPENSE-RATIO>                                    .84
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 011
   <NAME> KEMPER VALUE+GROWTH PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                           65,716
<INVESTMENTS-AT-VALUE>                          69,939
<RECEIVABLES>                                      235
<ASSETS-OTHER>                                     390
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  70,564
<PAYABLE-FOR-SECURITIES>                         1,353
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          117
<TOTAL-LIABILITIES>                              1,470
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        62,295
<SHARES-COMMON-STOCK>                           48,483
<SHARES-COMMON-PRIOR>                            8,896
<ACCUMULATED-NII-CURRENT>                          524
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          2,052
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         4,223
<NET-ASSETS>                                    69,094
<DIVIDEND-INCOME>                                  547
<INTEREST-INCOME>                                   69
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (289)
<NET-INVESTMENT-INCOME>                            327
<REALIZED-GAINS-CURRENT>                         2,051
<APPREC-INCREASE-CURRENT>                        3,585
<NET-CHANGE-FROM-OPS>                            5,963
<EQUALIZATION>                                     233
<DISTRIBUTIONS-OF-INCOME>                        (165)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         42,473
<NUMBER-OF-SHARES-REDEEMED>                    (3,047)
<SHARES-REINVESTED>                                161
<NET-CHANGE-IN-ASSETS>                          58,898
<ACCUMULATED-NII-PRIOR>                             69
<ACCUMULATED-GAINS-PRIOR>                           61
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              257
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    289
<AVERAGE-NET-ASSETS>                            34,243
<PER-SHARE-NAV-BEGIN>                            1.146
<PER-SHARE-NII>                                   .012
<PER-SHARE-GAIN-APPREC>                           .277
<PER-SHARE-DIVIDEND>                            (.010)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.425
<EXPENSE-RATIO>                                    .84
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 12
   <NAME> KEMPER HORIZON 20+ PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                           15,755
<INVESTMENTS-AT-VALUE>                          16,886
<RECEIVABLES>                                       65
<ASSETS-OTHER>                                     200
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  17,151
<PAYABLE-FOR-SECURITIES>                           439
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           53
<TOTAL-LIABILITIES>                                492
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        14,671
<SHARES-COMMON-STOCK>                           12,093
<SHARES-COMMON-PRIOR>                            3,258
<ACCUMULATED-NII-CURRENT>                          279
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            578
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         1,131
<NET-ASSETS>                                    16,659
<DIVIDEND-INCOME>                                  101
<INTEREST-INCOME>                                  134
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (87)
<NET-INVESTMENT-INCOME>                            148
<REALIZED-GAINS-CURRENT>                           578
<APPREC-INCREASE-CURRENT>                          885
<NET-CHANGE-FROM-OPS>                            1,611
<EQUALIZATION>                                     138
<DISTRIBUTIONS-OF-INCOME>                         (57)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          9,642
<NUMBER-OF-SHARES-REDEEMED>                      (858)
<SHARES-REINVESTED>                                 51
<NET-CHANGE-IN-ASSETS>                          12,900
<ACCUMULATED-NII-PRIOR>                             39
<ACCUMULATED-GAINS-PRIOR>                           11
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               56
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     87
<AVERAGE-NET-ASSETS>                             9,383
<PER-SHARE-NAV-BEGIN>                            1.154
<PER-SHARE-NII>                                   .020
<PER-SHARE-GAIN-APPREC>                           .214
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                       (.010)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.378
<EXPENSE-RATIO>                                    .93
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 13
   <NAME> KEMPER HORIZON 10+ PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                           21,117
<INVESTMENTS-AT-VALUE>                          22,276
<RECEIVABLES>                                      272
<ASSETS-OTHER>                                     100
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  22,648
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           95
<TOTAL-LIABILITIES>                                 95
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        20,138
<SHARES-COMMON-STOCK>                           17,502
<SHARES-COMMON-PRIOR>                            5,142
<ACCUMULATED-NII-CURRENT>                          737
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            519
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         1,159
<NET-ASSETS>                                    22,553
<DIVIDEND-INCOME>                                  107
<INTEREST-INCOME>                                  355
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (107)
<NET-INVESTMENT-INCOME>                            355
<REALIZED-GAINS-CURRENT>                           519
<APPREC-INCREASE-CURRENT>                          840
<NET-CHANGE-FROM-OPS>                            1,714
<EQUALIZATION>                                     358
<DISTRIBUTIONS-OF-INCOME>                         (76)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         13,389
<NUMBER-OF-SHARES-REDEEMED>                    (1,099)
<SHARES-REINVESTED>                                 70
<NET-CHANGE-IN-ASSETS>                          16,826
<ACCUMULATED-NII-PRIOR>                             94
<ACCUMULATED-GAINS-PRIOR>                            6
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               77
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    107
<AVERAGE-NET-ASSETS>                            12,800
<PER-SHARE-NAV-BEGIN>                            1.114
<PER-SHARE-NII>                                   .034
<PER-SHARE-GAIN-APPREC>                           .151
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                       (.010)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.289
<EXPENSE-RATIO>                                    .83
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 14
   <NAME> KEMPER HORIZON 5 PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                           13,533
<INVESTMENTS-AT-VALUE>                          14,002
<RECEIVABLES>                                      206
<ASSETS-OTHER>                                     211
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  14,419
<PAYABLE-FOR-SECURITIES>                           145
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           16
<TOTAL-LIABILITIES>                                161
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        12,920
<SHARES-COMMON-STOCK>                           11,652
<SHARES-COMMON-PRIOR>                            2,313
<ACCUMULATED-NII-CURRENT>                          655
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            214
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           469
<NET-ASSETS>                                    14,258
<DIVIDEND-INCOME>                                   41
<INTEREST-INCOME>                                  297
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (72)
<NET-INVESTMENT-INCOME>                            266
<REALIZED-GAINS-CURRENT>                           214
<APPREC-INCREASE-CURRENT>                          375
<NET-CHANGE-FROM-OPS>                              855
<EQUALIZATION>                                     376
<DISTRIBUTIONS-OF-INCOME>                         (43)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         10,209
<NUMBER-OF-SHARES-REDEEMED>                      (910)
<SHARES-REINVESTED>                                 40
<NET-CHANGE-IN-ASSETS>                          11,724
<ACCUMULATED-NII-PRIOR>                             54
<ACCUMULATED-GAINS-PRIOR>                            2
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               44
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     72
<AVERAGE-NET-ASSETS>                             7,366
<PER-SHARE-NAV-BEGIN>                            1.096
<PER-SHARE-NII>                                   .043
<PER-SHARE-GAIN-APPREC>                           .095
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                       (.010)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.224
<EXPENSE-RATIO>                                    .97
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
<SERIES>
   <NUMBER> 15
   <NAME> KEMPER BLUE CHIP PORTFOLIO
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   8-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             MAY-01-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                           19,791
<INVESTMENTS-AT-VALUE>                          20,327
<RECEIVABLES>                                       85
<ASSETS-OTHER>                                     635
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  21,047
<PAYABLE-FOR-SECURITIES>                         2,612
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           14
<TOTAL-LIABILITIES>                              2,626
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        17,745
<SHARES-COMMON-STOCK>                           16,515
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          274
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (134)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           536
<NET-ASSETS>                                    18,421
<DIVIDEND-INCOME>                                   63
<INTEREST-INCOME>                                   72
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (42)
<NET-INVESTMENT-INCOME>                             93
<REALIZED-GAINS-CURRENT>                         (134)
<APPREC-INCREASE-CURRENT>                          536
<NET-CHANGE-FROM-OPS>                              495
<EQUALIZATION>                                     181
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         17,303
<NUMBER-OF-SHARES-REDEEMED>                      (888)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          18,321
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               27
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     42
<AVERAGE-NET-ASSETS>                             7,003
<PER-SHARE-NAV-BEGIN>                            1.000
<PER-SHARE-NII>                                   .017
<PER-SHARE-GAIN-APPREC>                           .098
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              1.115
<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 1997
ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000810573
<NAME> INVESTORS FUND SERIES
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   <NUMBER> 16
   <NAME> KEMPER GLOBAL INCOME PORTFOLIO
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<PERIOD-START>                             MAY-01-1997
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<INVESTMENTS-AT-COST>                             2062
<INVESTMENTS-AT-VALUE>                            2002
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</TABLE>


                   REPORT OF INDEPENDENT AUDITORS


Board of Trustees
Kemper Funds


In  planning and performing our audit of the financial statements  of
each  of  the  Kemper Funds listed in Exhibit A attached hereto  (the
"Funds")  for  the period ended as of the date listed  in  Exhibit  A
attached   hereto  ("Report  Date"),  we  considered  their  internal
control, including control activities for safeguarding securities, in
order  to  determine  our  auditing procedures  for  the  purpose  of
expressing our opinion on the financial statements and to comply with
the  requirements  of  Form N-SAR, not to provide  assurance  on  the
internal control.

The  management  of  the Funds is responsible  for  establishing  and
maintaining   internal  control.  In fulfilling this  responsibility,
estimates  and  judgments by management are required  to  assess  the
expected benefits and related costs of controls.  Generally, controls
that  are  relevant to an audit pertain to the entity's objective  of
preparing financial statements for external purposes that are  fairly
presented   in   conformity   with  generally   accepted   accounting
principles.   Those  controls  include  the  safeguarding  of  assets
against unauthorized acquisition, use or disposition.

Because  of  inherent  limitations in  internal  control,  errors  or
irregularities  may occur and not be detected.  Also,  projection  of
any  evaluation of internal control to future periods is  subject  to
the  risk  that  it  may  become inadequate  because  of  changes  in
conditions or that the effectiveness of the design and operation  may
deteriorate.

Our  consideration  of  the internal control  would  not  necessarily
disclose  all matters in the internal control that might be  material
weaknesses  under standards established by the American Institute  of
Certified  Public Accountants. A material weakness is a condition  in
which  the design or operation of one or more of the internal control
components  does not reduce to a relatively low level the  risk  that
errors  or  irregularities  in amounts  that  would  be  material  in
relation to the financial statements being audited may occur and  not
be  detected within a timely period by employees in the normal course
of  performing their assigned functions. However, we noted no matters
involving the internal control and its operation, including  controls
for   safeguarding  securities,  that  we  consider  to  be  material
weaknesses as defined above as of Report Date.

This  report  is  intended  solely for the  information  and  use  of
management and the Securities and Exchange Commission.


                                        ERNST & YOUNG LLP


Chicago, Illinois
February 17, 1998


Kemper Funds                                      Exhibit A

December 31, 1997

Investors Fund Series
  Total Return Portfolio
  High Yield Portfolio
  Growth Portfolio
  Government Securities Portfolio
  Money Market Portfolio
  International Portfolio
  Small Cap Value Portfolio
  Investment Grade Bond Portfolio
  Value Portfolio
  Small Cap Value Portfolio
  Value + Growth Portfolio
  Horizon 20+ Portfolio
  Horizon 10+ Portfolio
  Horizon 5 Portfolio
  Blue Chip Portfolio
  Global Portfolio
Kemper Global Income Fund
Kemper Intermediate Government Trust
Kemper International Bond Fund



Exhibit 770
Investors Fund Series
Form N-SAR for the period ended 12/31/97
File No. 811-5002

Investors Fund Series-Kemper Small Cap Growth Portfolio

Offering Date: 4/16/97
Description of Security: DeCrane Aircraft Holdings Inc.
Total Amount of Underwriting: 2,797,423 Shares
Name of Fund: Investors Fund Series-Kemper Small Cap
Growth Portfolio
Amount Purchased: 45,800 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.8%
Amount Purchased 3% Limit (2): 0.7%
Purchased From: Wertheim Schroder & Co. Inc.
Underwriting syndicates members: Wertheim Schroder Co. Inc.,
Dillon, Read & Co., Inc., Bear, Stearns & Co., Inc., Alex.
Brown & Sons Inc., BT Securities Corp., Donaldson, Lufkin &
Jenrette Securities Corp., A.G. Edwards & Sons, Inc., Goldman,
Sachs & Co., Lazard Freres & Co. LLC, Lehman Brothers Inc.,
Merrill Lynch, Pierce, Fenner & Smith Inc., Oppenheimer & Co.,
Inc., Prudential Securities Inc., Smith Barney Inc., Arnhold &
S. Bleichroeder, Inc., Cowen & Co., Gabelli & Co., Inc.,
Janney Montgomery Scott Inc., C.L. King & Assoc., Inc., The
Ohio Co., Ragen Mackenzie Inc., The Robinson-Humphrey Co.,
Inc., Sanders Morris Mundy Inc., Scott & Stringfellow, Inc.,
Wheat, First Securities, Inc.



Offering Date: 06/24/97
Description of Security: Waterlink, Inc.
Total Amount of Underwriting: 4,500,000 Shares
Name of Fund: Investors Fund Series-Kemper Small Cap Growth
Portfolio
Amount Purchased: 36,800 Shares
Affiliate That Participated in Underwriting: Gruntal and Co.
Amount Purchased 4% Limit (1): 0.9%
Amount Purchased 3% Limit (2): 0.4%
Purchased From: Smith Barney Inc.
Underwriting syndicates members: Smith Barney Inc.,
Oppenheimer & Co., Inc., Sanders Morris Mundy Inc., Robert W.
Baird & Co. Inc., Bear, Stearns & Co. Inc., Alex. Brown & Sons
Inc., Cleary Gull Reiland & McDevitt Inc., Credit Suisse First
Boston Corp., Dain Bosworth Inc., Deutsche Morgan Grenfell
Inc., Donaldson, Lufkin & Jenrette Securities Corp., EVEREN
Securities, Inc., First Analysis Securities Corp., First of
Michigan Corp., Goldman, Sachs & Co., Hoefer & Arnett, Inc.,
Edward D. Jones & Co., LP, McDonald & Company Securities,
Inc., Merrill Lynch, Pierce, Fenner & Smith Inc., NatWest
Securities Ltd., The Ohio Co., PaineWebber Inc., Parker/Hunter
Inc., Ragen MacKenzie Inc., Rauscher Pierce Refsnes, Inc.,
Raymond James & Associates, Inc., The Robinson-Humphrey Co.,
Inc., Salomon Brothers Inc.


Offering Date: 7/2/97
Description of Security: Centennial Healthcare Corporation
Total Amount of Underwriting: 4,000,000 Shares
Name of Fund: Investors Fund Series-Kemper Small Cap
Growth Portfolio
Amount Purchased: 18,400 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 0.5%
Amount Purchased 3% Limit (2): 0.3%
Purchased From: Alex Brown & Sons Inc.
Underwriting syndicates members: Alex. Brown & Sons Inc.,
Donaldson, Lufkin & Jenrette Securities Corp., Morgan
Stanley, Dean Witter, Discover and Co., Equitable
Securities Corp., ABN AMRO Chicago Corp., Bear Stearns &
Co.,Inc., Credit Suisse First Boston Corp., Merrill Lynch,
Pierce, Fenner & Smith Inc., Oppenheimer & Co., Prudential
Securities Inc., Robertson, Stephens & Co. LLC, Salomon
Brothers Inc., J.C. Bradford & Co., Gerard Klauer Mattison
& Co.,Inc., J.J.B. Hilliard, W.L. Lyons, Inc.,
Interstate/Johnson Lane Corp., Janney Montgomery Scott
Inc., McDonald & Company Securities, Inc., Needham &
Company, Inc., Raymond James & Associates, Inc., The
Robinson-Humphrey Company, Inc., Sands Brothers & Co.,
Ltd., Stephens Inc.



Offering Date: 10/28/97
Description of Security: Casella Waste Systems, Inc.
Total Amount of Underwriting: 4,000,000 Shares
Name of Fund: Investors Fund Series-Kemper Small Cap
Growth Portfolio
Amount Purchased: 57,400 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.8%
Amount Purchased 3% Limit (2): 0.7%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Donaldson, Lufkin & Jenrette Securities Corp., Oppenheimer
& Co., Inc., BT Alex. Brown Inc., PaineWebber Inc., Smith
Barney Inc., Wasserstein Perella Securities, Inc., Moors &
Cabot, Inc., Advest, Inc., Robert W. Baird & Co. Inc.,
First Analysis Securities Corp., GS2 Securities, Inc.,
Interstate/Johnson Lane Corp., Raymond James & Associates,
Inc., Tucker Anthony Inc., Van Kasper & Co.



Offering Date: 10/29/97
Description of Security: Spieker Properties, Inc.
Total Amount of Underwriting: 10,000,000 Shares
Name of Fund: Investors Fund Series-Kemper Small Cap
Growth Portfolio
Amount Purchased: 25,000 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 0.3%
Amount Purchased 3% Limit (2): 0.7%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Donaldson, Lufkin & Jenrette Securities Corp., Merrill
Lynch, Pierce, Fenner & Smith Inc., Morgan Stanley, Dean
Witter, Discover and Co., NationsBanc Montgomery
Securities, Inc., Prudential Securities Inc., J.P. Morgan
Securities, Inc., Jefferies & Company, Inc., Edward D.
Jones & Co., Legg Mason Wood Walker Inc., Principal
Financial Securities, Inc., Raymond James & Associates,
Inc., BancAmerica Robertson Stephens, UBS Securities LLC



Offering Date: 11/03/97
Description of Security: AMF Bowling, Inc.
Total Amount of Underwriting: 13,500,000 Shares
Name of Fund: Investors Fund Series-Kemper Small Cap
Growth Portfolio
Amount Purchased: 16,300 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 0.1%
Amount Purchased 3% Limit (2): 0.2%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Morgan Stanley, Dean Witter, Discover and Co., Cowen &
Co., Schroder & Co. Inc., A.G. Edwards & Sons, Inc.,
Everen Securities, Inc., CIBC Oppenheimer Corp.,
PaineWebber Inc., Salomon Brothers Inc., Smith Barney
Inc., Wasserstein Perella Securities, Inc., Wheat First
Butcher Singer, Advest, Inc., Dain Bosworth Inc.,
Davenport & Company LLC, Interstate/Johnson Lane Corp.,
Jefferies & Company, Inc., Edward D. Jones & Co., McDonald
& Company Securities, Inc., Principal Financial
Securities, Inc., Raymond James & Associates, Inc., Roney
& Co., LLC, Scott & Stringfellow, Inc., Stephens Inc.,
Tucker Anthony Inc.



Offering Date: 11/19/97
Description of Security: Noble International, Ltd.
Total Amount of Underwriting: 3,300,000 Shares
Name of Fund: Investors Fund Series-Kemper Small Cap
Growth Portfolio
Amount Purchased: 32,400 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.2%
Amount Purchased 3% Limit (2): 0.2%
Purchased From: BlueStone Capital Partners, L.P.
Underwriting syndicates members: BlueStone Capital
Partners, L.P., Rodman & Renshaw, Inc., Allen & Company
Inc., Arnhold and S. Bleichroeder, Inc., C.E. Unterberg,
Towbin, Cleary Gull Reiland & McDevitt Inc., Cowen & Co.,
Dain Bosworth Inc., Everen Securities, Inc., Fahnestock &
Co. Inc., Ferris, Baker Watts, Inc., Gabelli & Company,
Inc., Gerard Klauer Mattison & Co., Inc., Janney
Montgomery Scott Inc., Jefferies & Company, Inc.,
Ladenburg Thalmann & Co., Inc., Mesirow Financial, Inc.,
Needham & Company, Inc., Pacific Crest Securities, Inc.,
Sanders Morris Mundy, Scott & Stringfellow, Inc., Stifel,
Nicolaus & Company, Inc., Van Kasper & Company, Oscar
Gruss & Son Inc., Trautman Kramer & Company, Inc., Value
Investing Partners, Inc., Werbel-Roth Securities Inc.



Investors Fund Series-Horizon 20+ Portfolio


Offering Date: 10/28/97
Description of Security: Casella Waste Systems, Inc.
Total Amount of Underwriting: 4,000,000 Shares
Name of Fund: Investors Fund Series-Horizon 20+ Portfolio
Amount Purchased: 600 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.8%
Amount Purchased 3% Limit (2): 0.1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Donaldson, Lufkin & Jenrette Securities Corp., Oppenheimer
& Co., Inc., BT Alex. Brown Inc., PaineWebber Inc., Smith
Barney Inc., Wasserstein Perella Securities, Inc., Moors &
Cabot, Inc., Advest, Inc., Robert W. Baird & Co. Inc.,
First Analysis Securities Corp., GS2 Securities, Inc.,
Interstate/Johnson Lane Corp., Raymond James & Associates,
Inc., Tucker Anthony Inc., Van Kasper & Co.

Offering Date: 11/03/97
Description of Security: AMF Bowling, Inc.
Total Amount of Underwriting: 13,500,000 Shares
Name of Fund: Investors Fund Series-Horizon 20+ Portfolio
Amount Purchased: 100 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 0.1%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Morgan Stanley, Dean Witter, Discover and Co., Cowen &
Co., Schroder & Co. Inc., A.G. Edwards & Sons, Inc.,
Everen Securities, Inc., CIBC Oppenheimer Corp.,
PaineWebber Inc., Salomon Brothers Inc., Smith Barney
Inc., Wasserstein Perella Securities, Inc., Wheat First
Butcher Singer, Advest, Inc., Dain Bosworth Inc.,
Davenport & Company LLC, Interstate/Johnson Lane Corp.,
Jefferies & Company, Inc., Edward D. Jones & Co., McDonald
& Company Securities, Inc., Principal Financial
Securities, Inc., Raymond James & Associates, Inc., Roney
& Co., LLC, Scott & Stringfellow, Inc., Stephens Inc.,
Tucker Anthony Inc.



Offering Date: 11/19/97
Description of Security: Noble International, Ltd.
Total Amount of Underwriting: 3,300,000 Shares
Name of Fund: Investors Fund Series-Horizon 20+ Portfolio
Amount Purchased: 300 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.2%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: BlueStone Capital Partners, L.P.
Underwriting syndicates members: BlueStone Capital
Partners, L.P., Rodman & Renshaw, Inc., Allen & Company
Inc., Arnhold and S. Bleichroeder, Inc., C.E. Unterberg,
Towbin, Cleary Gull Reiland & McDevitt Inc., Cowen & Co.,
Dain Bosworth Inc., Everen Securities, Inc., Fahnestock &
Co. Inc., Ferris, Baker Watts, Inc., Gabelli & Company,
Inc., Gerard Klauer Mattison & Co., Inc., Janney
Montgomery Scott Inc., Jefferies & Company, Inc.,
Ladenburg Thalmann & Co., Inc., Mesirow Financial, Inc.,
Needham & Company, Inc., Pacific Crest Securities, Inc.,
Sanders Morris Mundy, Scott & Stringfellow, Inc., Stifel,
Nicolaus & Company, Inc., Van Kasper & Company, Oscar
Gruss & Son Inc., Trautman Kramer & Company, Inc., Value
Investing Partners, Inc., Werbel-Roth Securities Inc.



Investors Fund Series-Horizon 10+ Portfolio


Offering Date: 10/28/97
Description of Security: Casella Waste Systems, Inc.
Total Amount of Underwriting: 4,000,000 Shares
Name of Fund: Investors Fund Series-Horizon 10+ Portfolio
Amount Purchased: 700 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.8%
Amount Purchased 3% Limit (2): 0.1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Donaldson, Lufkin & Jenrette Securities Corp., Oppenheimer
& Co., Inc., BT Alex. Brown Inc., PaineWebber Inc., Smith
Barney Inc., Wasserstein Perella Securities, Inc., Moors &
Cabot, Inc., Advest, Inc., Robert W. Baird & Co. Inc.,
First Analysis Securities Corp., GS2 Securities, Inc.,
Interstate/Johnson Lane Corp., Raymond James & Associates,
Inc., Tucker Anthony Inc., Van Kasper & Co.


Offering Date: 11/03/97
Description of Security: AMF Bowling, Inc.
Total Amount of Underwriting: 13,500,000 Shares
Name of Fund: Investors Fund Series-Horizon 10+ Portfolio
Amount Purchased: 200 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 0.1%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Morgan Stanley, Dean Witter, Discover and Co., Cowen &
Co., Schroder & Co. Inc., A.G. Edwards & Sons, Inc.,
Everen Securities, Inc., CIBC Oppenheimer Corp.,
PaineWebber Inc., Salomon Brothers Inc., Smith Barney
Inc., Wasserstein Perella Securities, Inc., Wheat First
Butcher Singer, Advest, Inc., Dain Bosworth Inc.,
Davenport & Company LLC, Interstate/Johnson Lane Corp.,
Jefferies & Co., Inc., Edward D. Jones & Co., McDonald &
Company Securities, Inc., Principal Financial Securities,
Inc., Raymond James & Associates, Inc., Roney & Co., LLC,
Scott & Stringfellow, Inc., Stephens Inc., Tucker Anthony
Inc.






Offering Date: 11/19/97
Description of Security: Noble International, Ltd.
Total Amount of Underwriting: 3,300,000 Shares
Name of Fund: Investors Fund Series-Horizon 10+ Portfolio
Amount Purchased: 300 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.2%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: BlueStone Capital Partners, L.P.
Underwriting syndicates members: BlueStone Capital
Partners, L.P., Rodman & Renshaw, Inc., Allen & Company
Inc., Arnhold and S. Bleichroeder, Inc., C.E. Unterberg,
Towbin, Cleary Gull Reiland & McDevitt Inc., Cowen & Co.,
Dain Bosworth Inc., Everen Securities, Inc., Fahnestock &
Co. Inc., Ferris, Baker Watts, Inc., Gabelli & Company,
Inc., Gerard Klauer Mattison & Co., Inc., Janney
Montgomery Scott Inc., Jefferies & Company, Inc.,
Ladenburg Thalmann & Co., Inc., Mesirow Financial, Inc.,
Needham & Company, Inc., Pacific Crest Securities, Inc.,
Sanders Morris Mundy, Scott & Stringfellow, Inc., Stifel,
Nicolaus & Company, Inc., Van Kasper & Company, Oscar
Gruss & Son Inc., Trautman Kramer & Company, Inc., Value
Investing Partners, Inc., Werbel-Roth Securities Inc.



Investors Fund Series-Horizon 5+ Portfolio


Offering Date: 10/28/97
Description of Security: Casella Waste Systems, Inc.
Total Amount of Underwriting: 4,000,000 Shares
Name of Fund: Investors Fund Series-Horizon 5+ Portfolio
Amount Purchased: 400 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.8%
Amount Purchased 3% Limit (2): 0.1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Donaldson, Lufkin & Jenrette Securities Corp., Oppenheimer
& Co., Inc., BT. Alex Brown Inc., PaineWebber Inc., Smith
Barney Inc., Wasserstein Perella Securities, Inc., Moors &
Cabot, Inc., Advest, Inc., Robert W. Baird & Co. Inc.,
First Analysis Securities Corp., GS2 Securities, Inc.,
Interstate/Johnson Lane Corp., Raymond James & Associates,
Inc., Tucker Anthony Inc., Van Kasper & Co.


Offering Date: 11/03/97
Description of Security: AMF Bowling, Inc.
Total Amount of Underwriting: 13,500,000 Shares
Name of Fund: Investors Fund Series-Horizon 5+ Portfolio
Amount Purchased: 100 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 0.1%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Morgan Stanley, Dean Witter, Discover and Co., Cowen &
Co., Schroder & Co. Inc., A.G. Edwards & Sons, Inc.,
Everen Securities, Inc., CIBC Oppenheimer Corp.,
PaineWebber Inc., Salomon Brothers Inc., Smith Barney
Inc., Wasserstein Perella Securities, Inc., Wheat First
Butcher Singer, Advest, Inc., Dain Bosworth Inc.,
Davenport & Company LLC, Interstate/Johnson Lane Corp.,
Jefferies & Company, Inc., Edward D. Jones & Co., McDonald
& Company Securities, Inc., Principal Financial
Securities, Inc., Raymond James & Associates, Inc., Roney
& Co., LLC, Scott & Stringfellow, Inc., Stephens Inc.,
Tucker Anthony Inc.




Offering Date: 11/19/97
Description of Security: Noble International, Ltd.
Total Amount of Underwriting: 3,300,000 Shares
Name of Fund: Investors Fund Series-Horizon 5+ Portfolio
Amount Purchased: 200 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.2%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: BlueStone Capital Partners, L.P.
Underwriting syndicates members: BlueStone Capital
Partners, L.P., Rodman & Renshaw, Inc., Allen & Company
Inc., Arnhold and S. Bleichroeder, Inc., C.E. Unterberg,
Towbin, Cleary Gull Reiland & McDevitt Inc., Cowen & Co.,
Dain Bosworth Inc., Everen Securities, Inc., Fahnestock &
Co. Inc., Ferris, Baker Watts, Inc., Gabelli & Company,
Inc., Gerard Klauer Mattison & Co., Inc., Janney
Montgomery Scott Inc., Jefferies & Company, Inc.,
Ladenburg Thalmann & Co., Inc., Mesirow Financial, Inc.,
Needham & Company, Inc., Pacific Crest Securities, Inc.,
Sanders Morris Mundy, Scott & Stringfellow, Inc., Stifel,
Nicolaus & Company, Inc., Van Kasper & Company, Oscar
Gruss & Son Inc., Trautman Kramer & Company, Inc., Value
Investing Partners, Inc., Werbel-Roth Securities Inc.



Investors Fund Series-Blue Chip Portfolio


Offering Date: 9/25/97
Description of Security: Highwoods Properties Inc.
Total Amount of Underwriting: 7,500,000 Shares
Name of Fund: Investors Fund Series-Blue Chip Portfolio
Amount Purchased: 3,000 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.4%
Amount Purchased 3% Limit (2): 1.2%
Purchased From: Merrill Lynch, Pierce, Fenner & Smith
Inc.
Underwriting syndicates members: Merrill Lynch, Pierce,
Fenner & Smith Inc., Montgomery Securities, Morgan
Stanley & Co. Inc., Prudential Securities Inc., Scott &
Stringfellow, Inc., Smith Barney Inc., BT Alex Brown
Inc., Donaldson, Lufkin & Jenrette Securities Corp., A.G.
Edwards & Sons, Inc., Lazard Freres & Co. LLC, Legg Mason
Wood Walker, Inc., Oppenheimer & Co. Inc., PaineWebber
Inc., The Robinson-Humphrey Co., Inc., Salomon Brothers
Inc., Schroder & Co. Inc., Advest, Inc., Robert W. Baird
& Co. Inc., J.C. Bradford & Co., Craigie Inc., Dain
Bosworth Inc., Davenport & Co. LLC, Dominick & Dominick,
Inc., EVEREN Securities, Inc., Fahnestock & Co. Inc.,
First of Michigan Corp., Furman Selz LLC, J.J.B.
Hilliard, W.L. Lyons, Inc., Interstate/Johnson Lane
Corp., Janney Montgomery Scott Inc., Edward D. Jones &
Co., L.P., Marion Bass Securities Corp., McDonald & Co.
Securities, Inc., Morgan Keegan & Co., Inc., Piper
Jaffrey Inc., Principal Financial Securities, Inc., Ragen
MacKenzie Inc., Rauscher Pierce Refsnes, Inc., Raymond
James & Associates, Inc., Stephens Inc., Sterne, Agee &
Leach, Inc., Stifel, Nicolaus & Co., Inc., Sutro & Co.
Inc., Tucker Anthony Inc., Wheat, First Securities, Inc.






(1) The amount purchased may not be greater than 4% of
the total principal amount of an issue.  Percentage
applies to all Funds purchasing shares.

(2) The amount purchased may not be greater than 3% of
the Funds total assets.











          Exhibit 77Q1(e)(1)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                              Kemper Blue Chip Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Blue Chip Portfolio (the
          "Fund").  Series may be abolished and dissolved, and additional
          series established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust's Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund s
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,

                                          2














          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel

                                          3














          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund s
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services

                                          4














          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund s
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders'
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund's Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .65 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).   You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the

                                          5














          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.


                                          6














          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.


                                          7














          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.







                                          8














          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.


                                        Yours very truly,

                                        INVESTORS FUND SERIES, on behalf of
                                        Kemper Blue Chip Portfolio

                                        By:  /s/ John E. Neal
                                           ---------------------------- 
                                           Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.



                                        SCUDDER KEMPER INVESTMENTS, INC.
               
                                        By: /s/ Lynn S. Birdsong
                                           -----------------------------
                                           Vice President



























                                          9
















          Exhibit 77Q1(e)(10)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                            Kemper Money  Market Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Money Market Portfolio (the
          "Fund").  Series may be abolished and dissolved, and additional
          series established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust's Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund s
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,

                                          2














          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel

                                          3














          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services

                                          4














          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund s
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders 
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund's Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee.  For all services to be rendered, payments
          to be made and costs to be assumed by you as provided in sections
          2, 3, and 4 hereof, the Fund shall pay you in United States
          Dollars on the last day of each month the unpaid balance of a fee
          equal to the excess of (a) 1/12 of .50 of 1 percent of the
          average daily net assets as defined below of the Fund for such
          month; over (b) any compensation waived by you from time to time
          (as more fully described below). You shall be entitled to receive
          during any month such interim payments of your fee hereunder as
          you shall request, provided that no such payment shall exceed 75
          percent of the amount of your fee then accrued on the books of
          the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the

                                          5














          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.


                                          6














          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.


                                          7














          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.







                                          8














          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.


                                   Yours very truly,


                                   INVESTORS FUND SERIES, on behalf of
                                   Kemper Money Market Portfolio


                                   By:  /s/ John E. Neal
                                      --------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.




                                   SCUDDER KEMPER INVESTMENTS, INC.


                                   By:  /s/ Lynn S. Birdsong
                                      -------------------------------
                                      Vice President























                                          9
















          Exhibit 77Q1(e)(11)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                          Kemper Small Cap Growth Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Small Cap Growth Portfolio (the
          "Fund").  Series may be abolished and dissolved, and additional
          series established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust s Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund s
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,

                                          2














          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel

                                          3














          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services

                                          4














          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders'
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund's Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .65 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the

                                          5














          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.


                                          6














          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.


                                          7














          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.

          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.

                                          8
















                                   Your very truly,

                                   INVESTORS FUND SERIES, on behalf of
                                   Kemper Small Cap Growth


                                   By:  /s/ John E. Neal
                                      -------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.



                                   SCUDDER KEMPER INVESTMENTS, INC.


                                   By:  /s/ Lynn S. Birdsong
                                      -------------------------------
                                      Vice President






























                                          9
















          Exhibit 77Q1(e)(12)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                           Kemper Small Cap Value Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Small Cap Value Portfolio (the
          "Fund").  Series may be abolished and dissolved, and additional
          series established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust s Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund s
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,

                                          2














          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel

                                          3














          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services

                                          4














          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders 
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund s Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.  Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of  (a) 1/12 of .75 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the

                                          5














          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.


                                          6














          7.  Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.  Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.


                                          7














          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.







                                          8














          f you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.


                                   Yours very truly,

                                   INVESTORS FUND SERIES, on behalf of
                                   Kemper Small Cap Value

                                   By:  /s/ John E. Neal
                                      --------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.



                                   SCUDDER KEMPER INVESTMENTS, INC.


                                   By:  /s/ Lynn S. Birdsong
                                      --------------------------------
                                      Vice President


























                                          9
















          Exhibit 77Q1(e)(13)
          Investors Fund Series
          Form N-SAR for the period ended 12/31/97
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                            Kemper Total Return Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Total Return Portfolio (the
          "Fund").  Series may be abolished and dissolved, and additional
          series established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust's Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund s
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,

                                          2














          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel

                                          3














          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services

                                          4














          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders'
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund s Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .55 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below). You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the

                                          5














          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.


                                          6














          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.


                                          7














          10.   Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.

          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.

                                          8
















                                   Yours very truly,


                                   INVESTORS FUND SERIES, on behalf of
                                   Kemper Total Return Portfolio


                                   By: /s/ John E. Neal
                                      --------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.




                                   SCUDDER KEMPER INVESTMENTS, INC.


                                   By:  /s/ Lynn S. Birdsong
                                      --------------------------------
                                      Vice President




























                                          9
















          Exhibit 77Q1(e)(14)
          Investors Fund Series
          Form N-SAR for the period ended 12/31/97
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                            Kemper Value+Growth Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Value+Growth Portfolio (the
          "Fund").  Series may be abolished and dissolved, and additional
          series established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust's Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund's
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,

                                          2














          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust s officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund s transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel

                                          3














          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund s operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services

                                          4














          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders 
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund's Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .75 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the

                                          5














          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund s expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.


                                          6














          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.


                                          7














          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.







                                          8














          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.

                                   Yours very truly,

                                   INVESTORS FUND SERIES,on behalf of
                                   Kemper Value+Growth Portfolio

                                   By:  /s/ John E. Neal
                                      -------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.


                                    SCUDDER KEMPER INVESTMENTS, INC.

                                    By:  /s/ Lynn S. Birdsong
                                       --------------------------------
                                       Vice President





























                                          9
















          Exhibit 77Q1(e)(15)
          Investors Fund Series
          Form N-SAR for the period ended 12/31/97
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                                Kemper Value Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Value Portfolio (the "Fund"). 
          Series may be abolished and dissolved, and additional series
          established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust's Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund s
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,

                                          2














          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel

                                          3














          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services

                                          4














          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders 
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund s Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .75 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the

                                          5














          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund s
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.


                                          6














          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.


                                          7














          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.

          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.

                                          8















                                  Yours very truly,


                                  INVESTORS FUND SERIES, on behalf of
                                  Kemper Value Portfolio


                                  By:  /s/ John E. Neal
                                     --------------------------------
                                     Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.



                                   SCUDDER KEMPER INVESTMENTS, INC.


                                   By:  /s/ Lynn S. Birdsong
                                      --------------------------------
                                      Vice President






























                                          9
















          Exhibit 77Q1(e)(16)
          Investors Fund Series
          Form N-SAR for the period ended 12/31/97
          File No. 811-5002

                                SUB-ADVISORY AGREEMENT

          AGREEMENT made this 31st day of December, 1997, by and between
          SCUDDER KEMPER INVESTMENTS, INC., a Delaware corporation (the
          "Adviser") and ZURICH INVESTMENT MANAGEMENT LIMITED, an English
          corporation (the "Sub-Adviser").

          WHEREAS, INVESTORS FUND SERIES, a Massachusetts business trust
          (the "Fund") is a management investment company registered under
          the Investment Company Act of 1940;

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

          WHEREAS, the Fund has retained the Adviser to render to it
          investment advisory and management services with regard to the
          series of the Fund known as the Kemper International Portfolio
          (the "initial series") pursuant to an Investment Management
          Agreement (the "Management Agreement"); and

          WHEREAS, the Adviser desires at this time to retain the Sub-
          Adviser to render investment advisory and management services
          with respect to that portion of the portfolio of the Fund's
          initial series allocated to the Sub-Adviser by the Adviser for
          management, including services related to foreign securities,
          foreign currency transactions and related investments, and the
          Sub-Adviser is willing to render such services;

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

          1.   The Adviser hereby employs the Sub-Adviser to manage the
          investment and reinvestment of the assets of the initial series
          of the Fund allocated by the Adviser in its sole discretion to
          the Sub-Adviser for management, including services related to
          foreign securities, foreign currency transactions and related
          investments, in accordance with the applicable investment
          objectives, policies and limitations and subject to the
          supervision of the Adviser and 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 the Sub-
          Adviser; and, in connection therewith, the Sub-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 Sub-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 and subject to satisfying the
          requirements of Section 28(e) of the Securities Exchange Act of
          1934, the Sub-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 Sub-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 Sub-Adviser's overall responsibilities with
          respect to the clients of the Sub-Adviser as to which the Sub-
          Adviser exercises investment discretion. The Adviser recognizes
          that all research services and research that the Sub-Adviser
          receives are available for all clients of the Sub-Adviser, and
          that the Fund and other clients of the Sub-Adviser 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 Sub-Adviser accepts such employment and agrees during such
          period to render such investment management services, to furnish
          related 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 Sub-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 or the Adviser in any
          way or otherwise be deemed an agent of the Fund or the Adviser.
          It is understood and agreed that the Sub-Adviser, by separate
          agreements with the Fund, may also serve the Fund in other
          capacities.

          The Sub-Adviser will keep the Fund and the Adviser informed of
          developments materially affecting the Fund and shall, on the Sub-
          Adviser s own initiative and as reasonably requested by the
          Adviser or the Fund, furnish to the Fund and the Adviser from
          time to time whatever information the Adviser reasonably believes
          appropriate for this purpose.  The Sub-Adviser agrees that, in
          the performance of the duties required of it by this Agreement,
          it will comply with the Investment Advisers Act of 1940 and the
          Investment Company Act of 1940, and all rules and regulations
          thereunder, and all applicable laws and regulations and with any
          applicable procedures adopted by the Fund's Board of Trustees and
          identified in writing to the Sub-Adviser.
















          The Sub-Adviser shall provide the Adviser with such investment
          portfolio accounting and shall maintain and provide such detailed
          records and reports as the Adviser may from time to time
          reasonably request, including without limitation, daily
          processing of investment transactions and cash positions,
          periodic valuations of investment portfolio positions as required
          by the Adviser, monthly reports of the investment portfolio and
          all investment transactions and the preparation of such reports
          and compilation of such data as may be required by the Adviser to
          comply with the obligations imposed upon it under Management
          Agreement.

          The Sub-Adviser shall provide adequate security with respect to
          all materials, records, documents and data relating to any of its
          responsibilities pursuant to this Agreement including any means
          for the effecting of securities transactions.

          The Sub-Adviser agrees that it will make available to the Adviser
          and the Fund promptly upon their request copies of all of its
          investment records and ledgers with respect to the Fund to assist
          the Adviser and the Fund in monitoring compliance with the
          Investment Company Act of 1940 and the Investment Advisers Act of
          1940, as well as other applicable laws. The Sub-Adviser will
          furnish the Fund's Board of Trustees such periodic and special
          reports with respect to the Fund s portfolio as the Adviser or
          the Board of Trustees may reasonably request.

          In compliance with the requirements of Rule 31a-3 under the
          Investment Company Act of 1940, the Sub-Adviser hereby agrees
          that any records that it maintains for the Fund are the property
          of the Fund and further agrees to surrender promptly to the Fund
          copies of any such records upon the Fund's request. The Sub-
          Adviser further agrees to preserve for the periods prescribed by
          Rule 31a-2 under the Investment Company Act of 1940 any records
          with respect to the Sub-Adviser's duties hereunder required to be
          maintained by Rule 31a-1 under such Act to the extent that the
          Sub-Adviser prepares and maintains such records pursuant to this
          Agreement and to preserve the records required by Rule 204-2
          under the Investment Advisers Act of 1940 for the period
          specified in that Rule.

          The Sub-Adviser agrees that it will immediately notify the
          Adviser and the Fund in the event that the Sub-Adviser: (i)
          becomes subject to a statutory disqualification that prevents the
          Sub-Adviser from serving as an investment adviser pursuant to
          this Agreement; or (ii) is or expects to become the subject of an
          administrative proceeding or enforcement action by the United
          States Securities and Exchange Commission, the Investment
          Management Regulatory Organization ("IMRO") or other regulatory
          authority.

          The Sub-Adviser represents that it is an investment adviser
          registered under the Investment Advisers Act of 1940 and other
          applicable laws and it is regulated by IMRO and will treat the














          Fund as a Non-Private Customer as defined by IMRO. The Sub-
          Adviser agrees to maintain the completeness and accuracy of its
          registration on Form ADV in accordance with all legal
          requirements relating to that Form. The Sub-Adviser acknowledges
          that it is an "investment adviser" to the Fund within the meaning
          of the Investment Company Act of 1940 and the Investment Advisers
          Act of 1940.

          The Sub-Adviser shall be responsible for maintaining an
          appropriate compliance program to ensure that the services
          provided by it under this Agreement are performed in a manner
          consistent with applicable laws and the terms of this Agreement.
          Furthermore, the Sub-Adviser shall maintain and enforce a Code of
          Ethics that is in form and substance satisfactory to the Adviser. 
          Sub-Adviser agrees to provide such reports and certifications
          regarding its compliance program as the Adviser or the Fund shall
          reasonably request from time to time.

          2.   In the event that there are, from time to time, one or more
          additional series of the Fund with respect to which the Adviser
          desires to retain the Sub-Adviser to render investment advisory
          and management services hereunder, the Adviser shall notify the
          Sub-Adviser in writing.  If the Sub-Adviser is willing to render
          such services, it shall notify the Adviser in writing whereupon
          such additional series shall become subject to this Agreement.

          3.   For the services and facilities described in Section 1, the
          Adviser will pay to the Sub-Adviser, at the end of each calendar
          month, a sub-advisory fee computed at an annual rate of .35% of
          that portion of the average daily net assets of the initial
          series of the Fund that is allocated by the Adviser to the Sub-
          Adviser for management.

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

          5.   The Sub-Adviser shall arrange, if desired by the Fund, for
          officers or employees of the Sub-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.

          6.   The net asset value for each series of the Fund subject to
          this Agreement shall be calculated as the Board of Trustees of
          the Fund may determine from time to time 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
          series shall be deemed to be the net asset value of such series
          as of the close of business on the last day on which such
          calculation was made for the purpose of the foregoing
          computations.

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

          8.   The Sub-Adviser shall not be liable for any error of
          judgment or of law or for any loss suffered by the Fund or the
          Adviser in connection with the matters to which this Agreement
          relates, except loss resulting from willful misfeasance, bad
          faith or gross negligence on the part of the Sub-Adviser in the
          performance of its obligations and duties or by reason of its
          reckless disregard of its obligations and duties under this
          Agreement.

          9.   This Agreement shall become effective with respect to the
          initial series of the Fund on the date hereof and shall remain in
          full force until April 1, 1998, unless sooner terminated as
          hereinafter provided. This Agreement shall continue in force from
          year to year thereafter with respect to each such series, but
          only as long as such continuance is specifically approved for
          each series 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 series, the Sub-Adviser may
          continue to serve in such capacity for such series 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 or in the event of the termination of the Management
          Agreement and may be terminated at any time with respect to any
          series subject to this Agreement without the payment of any
          penalty by the Adviser or by the Sub-Adviser on sixty (60) days'
          written notice to the other party. The Fund may effect
          termination with respect to any such series without payment of
          any penalty by action of the Board of Trustees or by vote of a
          majority of the outstanding voting securities of such series on
          sixty (60) days' written notice to the Adviser and the Sub-
          Adviser.

          This Agreement may be terminated with respect to any series at
          any time without the payment of any penalty by the Board of
          Trustees of the Fund, by vote of a majority of the outstanding
          voting securities of such series or by the Adviser in the event
          that it shall have been established by a court of competent














          jurisdiction that the Sub-Adviser or any officer or director of
          the Sub-Adviser has taken any action which results in a breach of
          the covenants of the Sub-Adviser set forth herein.

          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
          Sub-Adviser to receive payments on any unpaid balance of the
          compensation described in Section 3 earned prior to such
          termination.

          10.  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.

          11.  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.

          12.  This Agreement shall be construed in accordance with
          applicable federal law and the laws of the Commonwealth of
          Massachusetts.

          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 Adviser and the Sub-Adviser have caused
          this Agreement to be executed as of the day and year first above
          written.

                                   SCUDDER KEMPER INVESTMENTS, INC. 

                                   By:
                                      --------------------------------- 
                                   Title:
                                         ------------------------------ 

                                   ZURICH INVESTMENT MANAGEMENT LIMITED

                                   By:
                                      ---------------------------------
                                   Title:
                                        ------------------------------- 





















          Exhibit 77Q1(e)(3)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                        Kemper Government Securities Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Government Securities Portfolio
          (the "Fund").  Series may be abolished and dissolved, and
          additional series established, from time to time by action of the
          Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust s Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies















          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:

               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          1.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund's
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.



                                          2














          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,
          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          2.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other

                                          3














          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund s independent accountants, legal counsel
          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund s

                                          4














          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services
          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund s
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders 
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund s Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .55 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

                                          5














          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the
          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund s
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes

                                          6














          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.

          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules

                                          7














          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.

          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter

                                          8














          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.


                                   Yours very truly,


                                   INVESTORS FUND SERIES, on behalf of
                                   Kemper Government Securities Portfolio


                                   By:  /s/ John E. Neal
                                      -----------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.




                                   SCUDDER KEMPER INVESTMENTS, INC.


                                   By:  /s/ Lynn S. Birdsong
                                      ----------------------------------
                                      Vice President

























                                          9
















          Exhibit 77Q1(e)(3)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                        Kemper Government Securities Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Government Securities Portfolio
          (the "Fund").  Series may be abolished and dissolved, and
          additional series established, from time to time by action of the
          Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust s Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies















          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:

               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          1.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund's
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.



                                          2














          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,
          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          2.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other

                                          3














          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund s independent accountants, legal counsel
          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund s

                                          4














          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services
          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund s
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders 
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund s Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .55 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

                                          5














          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the
          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund s
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes

                                          6














          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.

          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules

                                          7














          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.

          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter

                                          8














          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.


                                   Yours very truly,


                                   INVESTORS FUND SERIES, on behalf of
                                   Kemper Government Securities Portfolio


                                   By:  /s/ John E. Neal
                                      -----------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.




                                   SCUDDER KEMPER INVESTMENTS, INC.


                                   By:  /s/ Lynn S. Birdsong
                                      ----------------------------------
                                      Vice President

























                                          9
















          Exhibit 77Q1(e)(4)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                             Kemper Horizon 10+ Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Horizon 10+ Portfolio (the
          "Fund").  Series may be abolished and dissolved, and additional
          series established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust's Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund s
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,

                                          2














          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel

                                          3














          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services

                                          4














          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders 
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund's Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .60 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the

                                          5














          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.


                                          6














          7.  Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.  Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.


                                          7














          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.







                                          8














          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.


                                   Yours very truly,

                                   INVESTORS FUND SERIES, on behalf of
                                   Kemper Horizon 10+ Portfolio


                                   By:  /s/ John E. Neal
                                      --------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.



                                   SCUDDER KEMPER INVESTMENTS, INC.

           
                                   By:  /s/ Lynn S. Birdsong
                                      --------------------------------
                                      Vice President

























                                          9
















          Exhibit 77Q1(e)(5)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                             Kemper Horizon 20+ Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Horizon 20+ Portfolio (the
          "Fund").  Series may be abolished and dissolved, and additional
          series established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust s Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund's
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,

                                          2














          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust s officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel

                                          3














          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund s business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services

                                          4














          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders 
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund s Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .60 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund s net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the

                                          5














          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund s
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund s expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.


                                          6














          7.  Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.  Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.


                                          7














          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.







                                          8














          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.

                                   Yours very truly,

                                   INVESTORS FUND SERIES, on behalf of
                                   Kemper Horizon 20+ Portfolio

                                   By:  /s/ John E. Neal
                                      --------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.


               
                                   SCUDDER KEMPER INVESTMENTS, INC.


                                   By:  /s/ Lynn S. Birdsong
                                      --------------------------------
                                      Vice President  



























                                          9
















          Exhibit 77Q1(e)(6)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                              Kemper Horizon 5 Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust s shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Horizon 5 Portfolio (the
          "Fund").  Series may be abolished and dissolved, and additional
          series established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust s Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code")relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund s
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,
          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund














          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel
          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in














          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services
          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering














          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders 
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund s Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .60 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the
          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net














          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund s
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.

          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or














          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.
















          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.

          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.

                                        Yours very truly,

                                        INVESTORS FUND SERIES, on behalf of
                                        Kemper Horizon 5 Portfolio

                                        By:  /s/ John E. Neal
                                           --------------------------------
                                           Vice President


















          The foregoing Agreement is hereby accepted as of the date hereof.



                                        SCUDDER KEMPER INVESTMENTS, INC.
                 
                                        By:  /s/ Lynn S. Birdsong
                                           ------------------------------  
                                           Vice President





























































          Exhibit 77Q1(e)(7)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                             Kemper High Yield Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper High Yield Portfolio (the
          "Fund").  Series may be abolished and dissolved, and additional
          series established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust s Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund's
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,

                                          2














          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust s officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund s transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel

                                          3














          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund s
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services

                                          4














          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund s
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders 
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund s Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .60 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund s net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the

                                          5














          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund s
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.


                                          6














          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.


                                          7














          10.   Limitation of Liability for Claims. The Declaration, a copy
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.

          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.

                                          8
















                                   Your very truly,



                                   INVESTORS FUND SERIES, on behalf of
                                   Kemper High Yield Portfolio


                                   By:  /s/ John E. Neal
                                      -------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.




                                   SCUDDER KEMPER INVESTMENTS, INC.



                                   By:  /s/ Lynn S. Birdsong
                                      -------------------------------
                                      Vice President


























                                          9
















          Exhibit 77Q1(e)(8)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                        Kemper Investment Grade Bond Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds.  The Board
          of Trustees has authorized Kemper Investment Grade Bond Portfolio
          (the "Fund").  Series may be abolished and dissolved, and
          additional series established, from time to time by action of the
          Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.  Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust s Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies















          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:

               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund's
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.



                                          2














          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,
          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund s portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other

                                          3














          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund s independent accountants, legal counsel
          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust s Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund s custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's

                                          4














          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services
          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders'
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund's Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .60 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

                                          5














          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the
          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund s
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes

                                          6














          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.

          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust' Board of Trustees on 60 days'written notice to you, or
          by you on 60 days'written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules

                                          7














          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          10.   Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.

          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter

                                          8














          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.


                                   Yours very truly,

                                   INVESTORS FUND SERIES, on behalf of
                                   Kemper Investment Grade Bond Portfolio


                                   By:  /s/ John E. Neal
                                      -----------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.




                                   SCUDDER KEMPER INVESTMENTS, INC.



                                   By:  /s/ Lynn S. Birdsong
                                      ------------------------------------
                                      Vice President

























                                          9
















          Exhibit 77Q1(e)(9)
          Investors Fund Series 
          Form N-SAR for the period ended 12/31/97 
          File No. 811-5002

                           INVESTMENT MANAGEMENT AGREEMENT

                                Investors Fund Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                            Kemper International Portfolio

          Ladies and Gentlemen:

          INVESTORS FUND SERIES (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company. Pursuant to the Trust's Declaration of Trust,
          as amended from time-to-time (the "Declaration"), the Board of
          Trustees is authorized to issue the Trust's shares of beneficial
          interest (the "Shares"), in separate series, or funds. The Board
          of Trustees has authorized Kemper International Portfolio (the
          "Fund"). Series may be abolished and dissolved, and additional
          series established, from time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth. Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:

          1.   Delivery of Documents. The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust s Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended. Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust. The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:














               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services. As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees. In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder. The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients. In managing the Fund in accordance with the requirements
          set forth in this section 2, you shall be entitled to receive and
          act upon advice of counsel to the Trust. You shall also make
          available to the Trust promptly upon request all of the Fund's
          investment records and ledgers as are necessary to assist the
          Trust in complying with the requirements of the 1940 Act and
          other applicable laws. To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.

          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,

                                          2














          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement. You shall
          determine what portion of the Fund s portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services. In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund s transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel

                                          3














          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses. Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law. You shall provide at
          your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4. In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's
          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services

                                          4














          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders 
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund s Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses. You shall be required to pay such of the
          foregoing sales expenses as are not required to be paid by the
          principal underwriter pursuant to the underwriting agreement or
          are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee. For all services to be rendered, payments to
          be made and costs to be assumed by you as provided in sections 2,
          3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
          United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .75 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; over (b) any compensation waived by you from
          time to time (as more fully described below).  You shall be
          entitled to receive during any month such interim payments of
          your fee hereunder as you shall request, provided that no such
          payment shall exceed 75 percent of the amount of your fee then
          accrued on the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the

                                          5














          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time. The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement. If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services. You shall be contractually bound
          hereunder by the terms of any publicly announced waiver of your
          fee, or any limitation of the Fund's expenses, as if such waiver
          or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission. You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. If
          any occasion should arise in which you give any advice to clients
          of yours concerning the Shares of the Fund, you shall act solely
          as investment counsel for such clients and not in any way on
          behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others. In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust. Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable. The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.


                                          6














          7.   Limitation of Liability of Manager. As an inducement to your
          undertaking to render services pursuant to this Agreement, the
          Trust agrees that you shall not be liable under this Agreement
          for any error of judgment or mistake of law or for any loss
          suffered by the Fund in connection with the matters to which this
          Agreement relates, provided that nothing in this Agreement shall
          be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement. This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust. This Agreement
          shall terminate automatically in the event of its assignment.

          This Agreement may be terminated with respect to the Fund 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
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement. No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.


                                          7














          10.  Limitation of Liability for Claims. The Declaration, a copy 
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Investors Fund Series" refers to the
          Trustees under the Declaration collectively as Trustees and not
          as individuals or personally, and that no shareholder of the
          Fund, or Trustee, officer, employee or agent of the Trust, shall
          be subject to claims against or obligations of the Trust or of
          the Fund to any extent whatsoever, but that the Trust estate only
          shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust. You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous. The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect. This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.







                                          8














          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.


                                   Yours very truly,

                                   INVESTORS FUND SERIES, on behalf of
                                   Kemper International Portfolio



                                   By:  /s/ John E. Neal
                                      --------------------------------
                                      Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.



                                   SCUDDER KEMPER INVESTMENTS, INC.



                                   By:  /s/ Lynn S. Birdsong
                                      --------------------------------
                                      Vice President























                                          9









VPCHI01/#246388.1   February 25,1998
               INVESTMENT MANAGEMENT AGREEMENT

                    Investors Fund Series
                  222 South Riverside Plaza
                   Chicago, Illinois 60606

                                           December 31, 1997

Scudder Kemper Investments, Inc.
345 Park Avenue
New York, New York 10154

               Investment Management Agreement
               Kemper Global Income Portfolio

Ladies and Gentlemen:

INVESTORS FUND SERIES (the "Trust") has been established  as
a  Massachusetts business trust to engage in the business of
an  investment company. Pursuant to the Trust's  Declaration
of  Trust, as amended from time-to-time (the "Declaration"),
the  Board  of Trustees is authorized to issue  the  Trust's
shares  of  beneficial interest (the "Shares"), in  separate
series,  or  funds.   The Board of Trustees  has  authorized
Kemper Global Income Portfolio (the "Fund").  Series may  be
abolished  and dissolved, and additional series established,
from time to time by action of the Trustees.

The Trust, on behalf of the Fund, has selected you to act as
the  investment  manager of the Fund and to provide  certain
other services, as more fully set forth below, and you  have
indicated  that  you are willing to act as  such  investment
manager  and  to perform such services under the  terms  and
conditions hereinafter set forth. Accordingly, the Trust  on
behalf of the Fund agrees with you as follows:

I.         Delivery of Documents. The Trust engages  in  the
business of investing and reinvesting the assets of the Fund
in   the  manner  and  in  accordance  with  the  investment
objectives,  policies  and  restrictions  specified  in  the
currently   effective  Prospectus  (the  "Prospectus")   and
Statement of Additional Information (the "SAI") relating  to
the  Fund included in the Trust's Registration Statement  on
Form  N-1A, as amended from time to time, (the "Registration
Statement") filed by the Trust under the Investment  Company
Act of 1940, as amended, (the "1940 Act") and the Securities
Act of 1933, as amended. Copies of the documents referred to
in  the preceding sentence have been furnished to you by the
Trust. The Trust has also furnished you with copies properly
certified   or  authenticated  of  each  of  the   following
additional documents related to the Trust and the Fund:

A.             The Declaration, as amended to date.

A.             By-Laws of the Trust as in effect on the date
hereof (the "By- Laws").

A.              Resolutions of the Trustees of the Trust and
the  shareholders  of the Fund selecting you  as  investment
manager and approving the form of this Agreement.

A.              Establishment and Designation of  Series  of
Shares  of  Beneficial Interest relating  to  the  Fund,  as
applicable.

The  Trust  will furnish you from time to time with  copies,
properly certified or authenticated, of all amendments of or
supplements,  if  any,  to  the  foregoing,  including   the
Prospectus, the SAI and the Registration Statement.

I.         Portfolio Management Services. As manager of  the
assets  of the Fund, you shall provide continuing investment
management of the assets of the Fund in accordance with  the
investment objectives, policies and restrictions  set  forth
in  the Prospectus and SAI; the applicable provisions of the
1940  Act and the Internal Revenue Code of 1986, as amended,
(the "Code") relating to regulated investment companies  and
all   rules  and  regulations  thereunder;  and  all   other
applicable federal and state laws and regulations  of  which
you   have   knowledge;  subject  always  to  policies   and
instructions  adopted by the Trust's Board of  Trustees.  In
connection  therewith, you shall use reasonable  efforts  to
manage  the  Fund  so that it will qualify  as  a  regulated
investment  company  under Subchapter  M  of  the  Code  and
regulations  issued  thereunder. The  Fund  shall  have  the
benefit of the investment analysis and research, the  review
of   current   economic  conditions  and  trends   and   the
consideration  of  long-range  investment  policy  generally
available  to your investment advisory clients. In  managing
the  Fund  in accordance with the requirements set forth  in
this  section  2, you shall be entitled to receive  and  act
upon  advice  of counsel to the Trust. You shall  also  make
available  to  the Trust promptly upon request  all  of  the
Fund's  investment records and ledgers as are  necessary  to
assist  the Trust in complying with the requirements of  the
1940  Act  and other applicable laws. To the extent required
by  law, you shall furnish to regulatory authorities  having
the  requisite  authority  any  information  or  reports  in
connection  with  the  services provided  pursuant  to  this
Agreement  which  may  be requested in  order  to  ascertain
whether the operations of the Trust are being conducted in a
manner consistent with applicable laws and regulations.

You    shall    determine   the   securities,   instruments,
investments,  currencies,  repurchase  agreements,  futures,
options  and other contracts relating to investments  to  be
purchased, sold or entered into by the Fund and place orders
with   broker-dealers,  foreign  currency  dealers,  futures
commission   merchants   or   others   pursuant   to    your
determinations and all in accordance with Fund  policies  as
expressed in the Registration Statement. You shall determine
what  portion of the Fund's portfolio shall be  invested  in
securities and other assets and what portion, if any, should
be held uninvested.

You  shall furnish to the Trust's Board of Trustees periodic
reports on the investment performance of the Fund and on the
performance of your obligations pursuant to this  Agreement,
and you shall supply such additional reports and information
as   the  Trust's  officers  or  Board  of  Trustees   shall
reasonably request.

I.          Administrative  Services.  In  addition  to  the
portfolio management services specified above in section  2,
you  shall furnish at your expense for the use of  the  Fund
such office space and facilities in the United States as the
Fund  may require for its reasonable needs, and you (or  one
or  more of your affiliates designated by you) shall  render
to  the Trust administrative services on behalf of the  Fund
necessary  for  operating as an open end investment  company
and  not  provided by persons not parties to this  Agreement
including,  but  not limited to, preparing  reports  to  and
meeting  materials  for the Trust's Board  of  Trustees  and
reports  and  notices  to  Fund  shareholders;  supervising,
negotiating  contractual arrangements with,  to  the  extent
appropriate,  and monitoring the performance of,  accounting
agents,   custodians,  depositories,  transfer  agents   and
pricing    agents,    accountants,   attorneys,    printers,
underwriters,  brokers  and  dealers,  insurers  and   other
persons  in any capacity deemed to be necessary or desirable
to  Fund  operations; preparing and making filings with  the
Securities  and  Exchange Commission (the "SEC")  and  other
regulatory and self-regulatory organizations, including, but
not  limited to, preliminary and definitive proxy materials,
post-effective  amendments  to the  Registration  Statement,
semi-annual  reports on Form N-SAR and notices  pursuant  to
Rule 24f-2 under the 1940 Act; overseeing the tabulation  of
proxies  by  the  Fund's transfer agent;  assisting  in  the
preparation  and  filing of the Fund's  federal,  state  and
local  tax returns; preparing and filing the Fund's  federal
excise  tax  return pursuant to Section 4982  of  the  Code;
providing  assistance  with investor  and  public  relations
matters;  monitoring  the valuation of portfolio  securities
and  the  calculation  of net asset  value;  monitoring  the
registration of Shares of the Fund under applicable  federal
and  state  securities laws; maintaining or  causing  to  be
maintained  for the Fund all books, records and reports  and
any  other information required under the 1940 Act,  to  the
extent  that  such  books, records  and  reports  and  other
information  are not maintained by the Fund's  custodian  or
other  agents  of  the Fund; assisting in  establishing  the
accounting policies of the Fund; assisting in the resolution
of  accounting  issues that may arise with  respect  to  the
Fund's operations and consulting with the Fund's independent
accountants,  legal counsel and the Fund's other  agents  as
necessary   in   connection  therewith;   establishing   and
monitoring  the Fund's operating expense budgets;  reviewing
the  Fund's bills; processing the payment of bills that have
been approved by an authorized person; assisting the Fund in
determining   the  amount  of  dividends  and  distributions
available  to  be  paid  by the Fund  to  its  shareholders,
preparing and arranging for the printing of dividend notices
to  shareholders,  and providing the transfer  and  dividend
paying  agent, the custodian, and the accounting agent  with
such  information as is required for such parties to  effect
the  payment  of dividends and distributions; and  otherwise
assisting  the  Trust as it may reasonably  request  in  the
conduct of the Fund's business, subject to the direction and
control  of the Trust's Board of Trustees. Nothing  in  this
Agreement shall be deemed to shift to you or to diminish the
obligations of any agent of the Fund or any other person not
a  party  to  this Agreement which is obligated  to  provide
services to the Fund.

I.         Allocation  of  Charges and Expenses.  Except  as
otherwise specifically provided in this section 4, you shall
pay  the compensation and expenses of all Trustees, officers
and  executive employees of the Trust (including the  Fund's
share  of payroll taxes) who are affiliated persons of  you,
and  you shall make available, without expense to the  Fund,
the  services  of  such  of  your  directors,  officers  and
employees  as  may duly be elected officers  of  the  Trust,
subject  to  their individual consent to serve  and  to  any
limitations  imposed  by  law. You  shall  provide  at  your
expense  the  portfolio  management  services  described  in
section  2  hereof and the administrative services described
in section 3 hereof.

You  shall not be required to pay any expenses of  the  Fund
other  than  those specifically allocated  to  you  in  this
section   4.   In  particular,  but  without  limiting   the
generality  of the foregoing, you shall not be  responsible,
except to the extent of the reasonable compensation of  such
of  the  Fund's  Trustees  and officers  as  are  directors,
officers or employees of you whose services may be involved,
for   the  following  expenses  of  the  Fund:  organization
expenses of the Fund (including out of-pocket expenses,  but
not including your overhead or employee costs); fees payable
to  you and to any other Fund advisors or consultants; legal
expenses;  auditing and accounting expenses; maintenance  of
books and records which are required to be maintained by the
Fund's  custodian  or other agents of the Trust;  telephone,
telex, facsimile, postage and other communications expenses;
taxes   and  governmental  fees;  fees,  dues  and  expenses
incurred  by  the  Fund  in connection  with  membership  in
investment company trade organizations; fees and expenses of
the   Fund's  accounting  agent  for  which  the  Trust   is
responsible  pursuant to the terms of  the  Fund  Accounting
Services   Agreement,  custodians,  subcustodians,  transfer
agents,  dividend disbursing agents and registrars;  payment
for  portfolio  pricing  or valuation  services  to  pricing
agents, accountants, bankers and other specialists, if  any;
expenses  of  preparing share certificates  and,  except  as
provided  below  in  this  section  4,  other  expenses   in
connection with the issuance, offering, distribution,  sale,
redemption or repurchase of securities issued by  the  Fund;
expenses relating to investor and public relations; expenses
and fees of registering or qualifying Shares of the Fund for
sale;  interest  charges, bond premiums and other  insurance
expense;  freight, insurance and other charges in connection
with  the  shipment of the Fund's portfolio securities;  the
compensation and all expenses (specifically including travel
expenses  relating to Trust business) of Trustees,  officers
and employees of the Trust who are not affiliated persons of
you;  brokerage commissions or other costs of  acquiring  or
disposing of any portfolio securities of the Fund;  expenses
of  printing and distributing reports, notices and dividends
to   shareholders;   expenses  of   printing   and   mailing
Prospectuses  and SAIs of the Fund and supplements  thereto;
costs    of    stationery;    any    litigation    expenses;
indemnification of Trustees and officers of the  Trust;  and
costs of shareholders' and other meetings.

You  shall  not be required to pay expenses of any  activity
which is primarily intended to result in sales of Shares  of
the  Fund  if  and to the extent that (i) such expenses  are
required  to be borne by a principal underwriter which  acts
as  the  distributor  of the Fund's Shares  pursuant  to  an
underwriting  agreement which provides that the  underwriter
shall assume some or all of such expenses, or (ii) the Trust
on  behalf  of  the  Fund  shall  have  adopted  a  plan  in
conformity with Rule 12b-1 under the 1940 Act providing that
the  Fund (or some other party) shall assume some or all  of
such  expenses.  You shall be required to pay  such  of  the
foregoing sales expenses as are not required to be  paid  by
the  principal  underwriter  pursuant  to  the  underwriting
agreement  or are not permitted to be paid by the  Fund  (or
some other party) pursuant to such a plan.

I.         Management Fee. For all services to be  rendered,
payments  to  be  made and costs to be  assumed  by  you  as
provided in sections 2, 3, and 4 hereof, the Trust on behalf
of  the  Fund shall pay you in United States Dollars on  the
last day of each month the unpaid balance of a fee equal  to
the  excess  of (a) 1/12 of .75 of 1 percent of the  average
daily  net  assets  as defined below of the  Fund  for  such
month; over (b) any compensation waived by you from time  to
time  (as  more  fully  described  below).    You  shall  be
entitled  to receive during any month such interim  payments
of your fee hereunder as you shall request, provided that no
such  payment shall exceed 75 percent of the amount of  your
fee then accrued on the books of the Fund and unpaid.

The  "average daily net assets" of the Fund shall  mean  the
average of the values placed on the Fund's net assets as  of
4:00 p.m. (New York time) on each day on which the net asset
value  of  the  Fund  is  determined  consistent  with   the
provisions of Rule 22c-1 under the 1940 Act or, if the  Fund
lawfully determines the value of its net assets as  of  some
other  time on each business day, as of such time. The value
of  the  net  assets of the Fund shall always be  determined
pursuant to the applicable provisions of the Declaration and
the  Registration  Statement. If the  determination  of  net
asset value does not take place for any particular day, then
for  the  purposes of this section 5, the value of  the  net
assets of the Fund as last determined shall be deemed to  be
the value of its net assets as of 4:00 p.m. (New York time),
or  as of such other time as the value of the net assets  of
the Fund's portfolio may be lawfully determined on that day.
If  the  Fund determines the value of the net assets of  its
portfolio  more  than once on any day, then  the  last  such
determination thereof on that day shall be deemed to be  the
sole  determination thereof on that day for the purposes  of
this section 5.

You  may  waive all or a portion of your fees  provided  for
hereunder and such waiver shall be treated as a reduction in
purchase  price of your services. You shall be contractually
bound  hereunder  by  the  terms of any  publicly  announced
waiver  of  your  fee,  or  any  limitation  of  the  Fund's
expenses,  as  if such waiver or limitation were  fully  set
forth herein.

I.         Avoidance of Inconsistent Position; Services  Not
Exclusive.  In  connection  with  purchases  or   sales   of
portfolio  securities and other investments for the  account
of the Fund, neither you nor any of your directors, officers
or  employees shall act as a principal or agent  or  receive
any  commission.  You or your agent shall  arrange  for  the
placing of all orders for the purchase and sale of portfolio
securities and other investments for the Fund's account with
brokers  or dealers selected by you in accordance with  Fund
policies as expressed in the Registration Statement. If  any
occasion  should  arise  in which you  give  any  advice  to
clients  of  yours concerning the Shares of  the  Fund,  you
shall act solely as investment counsel for such clients  and
not in any way on behalf of the Fund.

Your services to the Fund pursuant to this Agreement are not
to  be deemed to be exclusive and it is understood that  you
may  render  investment advice, management and  services  to
others.  In  acting under this Agreement, you  shall  be  an
independent  contractor  and not  an  agent  of  the  Trust.
Whenever  the  Fund  and  one  or  more  other  accounts  or
investment companies advised by you have available funds for
investment,  investments suitable and appropriate  for  each
shall be allocated in accordance with procedures believed by
you to be equitable to each entity. Similarly, opportunities
to  sell  securities shall be allocated in a manner believed
by  you  to be equitable. The Fund recognizes that  in  some
cases  this procedure may adversely affect the size  of  the
position that may be acquired or disposed of for the Fund.

I.          Limitation  of  Liability  of  Manager.  As   an
inducement  to your undertaking to render services  pursuant
to  this Agreement, the Trust agrees that you shall  not  be
liable  under  this Agreement for any error of  judgment  or
mistake  of  law  or for any loss suffered by  the  Fund  in
connection with the matters to which this Agreement relates,
provided  that nothing in this Agreement shall be deemed  to
protect  or purport to protect you against any liability  to
the  Trust, the Fund or its shareholders to which you  would
otherwise  be subject by reason of willful misfeasance,  bad
faith or gross negligence in the performance of your duties,
or  by reason of your reckless disregard of your obligations
and duties hereunder.

I.         Duration and Termination of This Agreement.  This
Agreement  shall remain in force until April  1,  1998,  and
continue in force from year to year thereafter, but only  so
long  as such continuance is specifically approved at  least
annually  (a) by the vote of a majority of the Trustees  who
are  not parties to this Agreement or interested persons  of
any  party  to this Agreement, cast in person at  a  meeting
called  for the purpose of voting on such approval, and  (b)
by  the  Trustees of the Trust, or by the vote of a majority
of  the  outstanding  voting securities  of  the  Fund.  The
aforesaid requirement that continuance of this Agreement  be
"specifically approved at least annually" shall be construed
in  a manner consistent with the 1940 Act and the rules  and
regulations  thereunder  and any  applicable  SEC  exemptive
order therefrom.

This Agreement may be terminated with respect to the Fund at
any time, without the payment of any penalty, by the vote of
a  majority of the outstanding voting securities of the Fund
or  by  the  Trust's Board of Trustees on 60  days'  written
notice  to you, or by you on 60 days' written notice to  the
Trust.  This Agreement shall terminate automatically in  the
event of its assignment.

This Agreement may be terminated with respect to the Fund 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 the Fund in the event that it shall have  been
established by a court of competent jurisdiction that you or
any of your officers or directors has taken any action which
results in a breach of your covenants set forth herein.

I.         Amendment of this Agreement. No provision of this
Agreement  may be changed, waived, discharged or  terminated
orally, but only by an instrument in writing signed  by  the
party  against  whom  enforcement  of  the  change,  waiver,
discharge or termination is sought, and no amendment of this
Agreement  shall  be effective until approved  in  a  manner
consistent  with  the  1940 Act and  rules  and  regulations
thereunder and any applicable SEC exemptive order therefrom.

I.          Limitation   of  Liability   for   Claims.   The
Declaration,  a copy of which, together with all  amendments
thereto,  is on file in the Office of the Secretary  of  the
Commonwealth  of  Massachusetts,  provides  that  the   name
"Investors  Fund  Series" refers to the Trustees  under  the
Declaration  collectively as Trustees and not as individuals
or  personally,  and that no shareholder  of  the  Fund,  or
Trustee,  officer, employee or agent of the Trust, shall  be
subject to claims against or obligations of the Trust or  of
the Fund to any extent whatsoever, but that the Trust estate
only shall be liable.

You are hereby expressly put on notice of the limitation  of
liability as set forth in the Declaration and you agree that
the  obligations assumed by the Trust on behalf of the  Fund
pursuant to this Agreement shall be limited in all cases  to
the Fund and its assets, and you shall not seek satisfaction
of   any  such  obligation  from  the  shareholders  or  any
shareholder of the Fund or any other series of the Trust, or
from  any Trustee, officer, employee or agent of the  Trust.
You understand that the rights and obligations of each Fund,
or  series, under the Declaration are separate and  distinct
from those of any and all other series.

I.         Miscellaneous. The captions in this Agreement are
included  for convenience of reference only and  in  no  way
define  or  limit any of the provisions hereof or  otherwise
affect  their construction or effect. This Agreement may  be
executed simultaneously in two or more counterparts, each of
which shall be deemed an original, but all of which together
shall constitute one and the same instrument.

In  interpreting  the  provisions  of  this  Agreement,  the
definitions  contained  in Section  2(a)  of  the  1940  Act
(particularly   the  definitions  of  "affiliated   person,"
"assignment"   and  "majority  of  the  outstanding   voting
securities"),  as  from  time  to  time  amended,  shall  be
applied,  subject,  however, to such exemptions  as  may  be
granted by the SEC by any rule, regulation or order.

This  Agreement  shall be construed in accordance  with  the
laws  of  the  Commonwealth of Massachusetts, provided  that
nothing  herein shall be construed in a manner  inconsistent
with the 1940 Act, or in a manner which would cause the Fund
to  fail to comply with the requirements of Subchapter M  of
the Code.

This Agreement shall supersede all prior investment advisory
or  management agreements entered into between you  and  the
Trust on behalf of the Fund.

If  you  are in agreement with the foregoing, please execute
the  form  of acceptance on the accompanying counterpart  of
this  letter  and  return  such counterpart  to  the  Trust,
whereupon  this  letter  shall  become  a  binding  contract
effective as of the date of this Agreement.

                                   Yours very truly,

                                   INVESTORS FUND SERIES, on
behalf of
                                     Kemper  Global   Income
Portfolio

                                   By:
                                      Vice President


The  foregoing Agreement is hereby accepted as of  the  date
hereof.


                                         SCUDDER      KEMPER
INVESTMENTS, INC.

                                   By:
                                      President






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