KEMPER HORIZON FUND
NSAR-B, 1998-09-29
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<PAGE>      PAGE  1
000 B000000 07/31/98
000 C000000 0001001983
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0
000 J000000 A
001 A000000 KEMPER HORIZON FUND
001 B000000 811-7365
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  3
007 C010100  1
007 C020100 KEMPER HORIZON 20+ PORTFOLIO
007 C030100 N
007 C010200  2
007 C020200 KEMPER HORIZON 10+ PORTFOLIO
007 C030200 N
007 C010300  3
007 C020300 KEMPER HORIZON 5 PORTFOLIO
007 C030300 N
007 C010400  4
007 C010500  5
007 C010600  6
007 C010700  7
007 C010800  8
007 C010900  9
007 C011000 10
008 A00AA01 SCUDDER KEMPER INVESTMENTS, INC.
008 B00AA01 A
008 C00AA01 801-44899
008 D01AA01 NEW YORK
008 D02AA01 NY
008 D03AA01 10154
008 D04AA01 0100
010 A00AA01 KEMPER DISTRIBUTORS, INC.
010 B00AA01 8-47765
010 C01AA01 CHICAGO
010 C02AA01 IL
010 C03AA01 60606
<PAGE>      PAGE  2
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 KEMPER SERVICE COMPANY
012 B00AA01 84-1713
012 C01AA01 KANSAS CITY
012 C02AA01 MO
012 C03AA01 64105
013 A00AA01 ERNST & YOUNG LLP
013 B01AA01 CHICAGO
013 B02AA01 IL
013 B03AA01 60606
014 A00AA01 SCUDDER INVESTOR SERVICES, INC.
014 B00AA01 8-298
014 A00AA02 KEMPER DISTRIBUTORS, INC.
014 B00AA02 8-47765
014 A00AA03 GRUNTAL & CO., INC.
014 B00AA03 8-31022
014 A00AA04 THE GMS GROUP, L.L.C. (A GRUNTAL AFFILIATE)
014 B00AA04 8-23936
014 A00AA05 ZURICH CAPITAL MARKETS
014 B00AA05 8-49827
014 A00AA06 BANK HANDLOWY
014 B00AA06 8-24613
015 A00AA01 INVESTORS FIDUCIARY TRUST COMPANY
015 B00AA01 C
015 C01AA01 KANSAS CITY
015 C02AA01 MO
015 C03AA01 64105
015 E01AA01 X
015 A00AA02 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   71
019 C00AA00 KEMPERFNDS
020 A000001 GOLDMAN, SACHS, & CO.
<PAGE>      PAGE  3
020 B000001 13-5108880
020 C000001     25
020 A000002 TROSTER SINGER
020 B000002 13-5515160
020 C000002     21
020 A000003 BERNSTEIN (SANFORD C.) & CO., INC.
020 B000003 13-2625874
020 C000003     11
020 A000004 INSTINET CORPORATION
020 B000004 13-3443395
020 C000004      8
020 A000005 DUNLEVY & CO., INC.
020 B000005 13-2919975
020 C000005      6
020 A000006 TIEDEMANN INTERNATIONAL RESEARCH, INC.
020 B000006 13-3506065
020 C000006      6
020 A000007 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
020 B000007 13-2655998
020 C000007      6
020 A000008 SMITH BARNEY INC.
020 B000008 13-1912900
020 C000008      6
020 A000009 SALAMON BROTHERS INC.
020 B000009 13-3082694
020 C000009      5
020 A000010 LEHMAN BROTHERS INC.
020 B000010 13-2518466
020 C000010      5
021  000000      207
022 A000001 CS FIRST BOSTON CORPORATION
022 B000001 13-5659485
022 C000001     35581
022 D000001     15190
022 A000002 GOLDMAN, SACHS & CO.
022 B000002 13-5108880
022 C000002     34886
022 D000002      8758
022 A000003 FIRST CHICAGO NBD CORPORATION
022 B000003 36-0899825
022 C000003     29614
022 D000003     10517
022 A000004 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000004 13-5674085
022 C000004     26639
022 D000004     13141
022 A000005 LEHMAN BROTHERS INC.
022 B000005 13-2518466
022 C000005     27411
022 D000005      8878
022 A000006 TROSTER SINGER
<PAGE>      PAGE  4
022 B000006 13-5515160
022 C000006      6203
022 D000006       719
022 A000007 UBS SECURITIES INC.
022 B000007 13-2932996
022 C000007      6780
022 D000007         0
022 A000008 ALEX. BROWN & SONS INCORPORATED
022 B000008 52-1319768
022 C000008      3684
022 D000008      1356
022 A000009 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
022 B000009 13-2655998
022 C000009      1759
022 D000009      2227
022 A000010 DEUTSCHE BANK SECURITIES CORPORATION
022 B000010 13-2730828
022 C000010      3657
022 D000010         0
023 C000000     196524
023 D000000      77765
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<PAGE>      PAGE  5
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054 D00AA00 N
054 E00AA00 N
054 F00AA00 N
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054 J00AA00 Y
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054 L00AA00 N
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<PAGE>      PAGE  6
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077 A000000 Y
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077 Q010000 Y
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078  000000 N
080 A00AA00 ICI MUTUAL INSURANCE COMPANY
080 C00AA00    60000
081 A00AA00 Y
081 B00AA00 109
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082 B00AA00       50
083 A00AA00 N
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084 A00AA00 N
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085 B00AA00 N
025 A000101 MERRILL LYNCH & CO.
025 B000101 13-5674085
025 C000101 E
025 D000101     546
025 A000102 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
025 B000102 13-2655998
025 C000102 E
025 D000102     696
025 A000103 UBS
025 B000103 13-2932996
025 C000103 E
025 D000103     851
025 D000104       0
025 D000105       0
025 D000106       0
025 D000107       0
<PAGE>      PAGE  7
025 D000108       0
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030 B000100  5.75
030 C000100  0.00
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033  000100      0
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<PAGE>      PAGE  8
044  000100   1256
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055 B000100 N
056  000100 Y
057  000100 N
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066 C000100 Y
066 D000100 N
066 E000100 N
066 F000100 N
066 G000100 N
067  000100 N
068 A000100 N
068 B000100 N
069  000100 N
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070 B010100 Y
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070 F020100 Y
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070 G020100 N
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070 H020100 N
070 I010100 N
070 I020100 N
070 J010100 Y
070 J020100 N
070 K010100 N
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070 M010100 Y
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070 O010100 N
070 O020100 N
070 P010100 N
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
<PAGE>      PAGE  9
070 R020100 N
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<PAGE>      PAGE  10
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025 A000201 MERRILL LYNCH & CO.
025 B000201 13-5674085
025 C000201 E
025 D000201     302
025 A000202 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
025 B000202 13-2655998
025 C000202 E
025 D000202     366
025 A000203 UBS
025 B000203 13-2932996
025 C000203 E
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<PAGE>      PAGE  11
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030 C000200  0.00
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032  000200    300
033  000200      0
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035  000200     50
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044  000200   1072
055 A000200 Y
055 B000200 N
056  000200 Y
057  000200 N
066 A000200 Y
066 B000200 N
066 C000200 N
066 D000200 N
066 E000200 Y
066 F000200 N
<PAGE>      PAGE  12
066 G000200 N
067  000200 Y
068 A000200 N
068 B000200 N
069  000200 N
070 A010200 Y
070 A020200 Y
070 B010200 Y
070 B020200 N
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070 C020200 N
070 D010200 Y
070 D020200 N
070 E010200 Y
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070 H010200 Y
070 H020200 N
070 I010200 N
070 I020200 N
070 J010200 Y
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070 K010200 N
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070 L010200 Y
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<PAGE>      PAGE  13
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<PAGE>      PAGE  14
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025 A000301 MERRILL LYNCH & CO.
025 B000301 13-5674085
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025 B000302 13-2655998
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025 A000303 UBS
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<PAGE>      PAGE  15
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<PAGE>      PAGE  16
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<PAGE>      PAGE  17
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<PAGE>      PAGE  18
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SIGNATURE   PHILLIP J. COLLORA                           
TITLE       SECRETARY           
 


<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 011
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS A
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           94,000
<INVESTMENTS-AT-VALUE>                         109,261
<RECEIVABLES>                                    1,213
<ASSETS-OTHER>                                     119
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 110,593
<PAYABLE-FOR-SECURITIES>                            47
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          470
<TOTAL-LIABILITIES>                                517
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        95,215
<SHARES-COMMON-STOCK>                            3,656
<SHARES-COMMON-PRIOR>                            1,994
<ACCUMULATED-NII-CURRENT>                            1
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (401)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        15,261
<NET-ASSETS>                                   110,076
<DIVIDEND-INCOME>                                  863
<INTEREST-INCOME>                                1,267
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (2,082)
<NET-INVESTMENT-INCOME>                             48
<REALIZED-GAINS-CURRENT>                           679
<APPREC-INCREASE-CURRENT>                        6,055
<NET-CHANGE-FROM-OPS>                            6,782
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (116)   
<DISTRIBUTIONS-OF-GAINS>                       (1,368)   
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          2,172
<NUMBER-OF-SHARES-REDEEMED>                      (630)
<SHARES-REINVESTED>                                120
<NET-CHANGE-IN-ASSETS>                          47,403
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,082
<AVERAGE-NET-ASSETS>                            84,650
<PER-SHARE-NAV-BEGIN>                            12.89
<PER-SHARE-NII>                                    .04
<PER-SHARE-GAIN-APPREC>                           1.07
<PER-SHARE-DIVIDEND>                             (.04)
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              13.48
<EXPENSE-RATIO>                                   2.00
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 012
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS B
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           94,000
<INVESTMENTS-AT-VALUE>                         109,261
<RECEIVABLES>                                    1,213
<ASSETS-OTHER>                                     119
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 110,593
<PAYABLE-FOR-SECURITIES>                            47
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          470
<TOTAL-LIABILITIES>                                517
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        95,215
<SHARES-COMMON-STOCK>                            3,784
<SHARES-COMMON-PRIOR>                            2,515
<ACCUMULATED-NII-CURRENT>                            1 
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (401)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        15,261
<NET-ASSETS>                                   110,076
<DIVIDEND-INCOME>                                  863
<INTEREST-INCOME>                                1,267
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (2,082)
<NET-INVESTMENT-INCOME>                             48
<REALIZED-GAINS-CURRENT>                           679
<APPREC-INCREASE-CURRENT>                        6,055
<NET-CHANGE-FROM-OPS>                            6,782
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                       (1,362)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,757
<NUMBER-OF-SHARES-REDEEMED>                      (598)
<SHARES-REINVESTED>                                110
<NET-CHANGE-IN-ASSETS>                          47,403
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,082
<AVERAGE-NET-ASSETS>                            84,650
<PER-SHARE-NAV-BEGIN>                            12.79
<PER-SHARE-NII>                                  (.03)
<PER-SHARE-GAIN-APPREC>                           1.00
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              13.28
<EXPENSE-RATIO>                                   2.79
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 013
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS C
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           94,000
<INVESTMENTS-AT-VALUE>                         109,261
<RECEIVABLES>                                    1,213
<ASSETS-OTHER>                                     119
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 110,593
<PAYABLE-FOR-SECURITIES>                            47
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          470
<TOTAL-LIABILITIES>                                517
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        95,215
<SHARES-COMMON-STOCK>                              700
<SHARES-COMMON-PRIOR>                              308
<ACCUMULATED-NII-CURRENT>                            1 
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (401)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        15,261
<NET-ASSETS>                                   110,076
<DIVIDEND-INCOME>                                  863
<INTEREST-INCOME>                                1,267
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (2,082)
<NET-INVESTMENT-INCOME>                             48
<REALIZED-GAINS-CURRENT>                           679
<APPREC-INCREASE-CURRENT>                        6,055
<NET-CHANGE-FROM-OPS>                            6,782
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                         (181)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            460
<NUMBER-OF-SHARES-REDEEMED>                       (82)
<SHARES-REINVESTED>                                 14
<NET-CHANGE-IN-ASSETS>                          47,403
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,082
<AVERAGE-NET-ASSETS>                            84,650
<PER-SHARE-NAV-BEGIN>                            12.80
<PER-SHARE-NII>                                  (.05)
<PER-SHARE-GAIN-APPREC>                           1.02
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              13.29
<EXPENSE-RATIO>                                   3.03
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 014
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS I
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           94,000
<INVESTMENTS-AT-VALUE>                         109,261
<RECEIVABLES>                                    1,213
<ASSETS-OTHER>                                     119
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 110,593
<PAYABLE-FOR-SECURITIES>                            47
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          470
<TOTAL-LIABILITIES>                                517
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        95,215
<SHARES-COMMON-STOCK>                               91
<SHARES-COMMON-PRIOR>                               67
<ACCUMULATED-NII-CURRENT>                            1 
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (401)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        15,261
<NET-ASSETS>                                   110,076
<DIVIDEND-INCOME>                                  863
<INTEREST-INCOME>                                1,267
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (2,082)
<NET-INVESTMENT-INCOME>                             48
<REALIZED-GAINS-CURRENT>                           679
<APPREC-INCREASE-CURRENT>                        6,055
<NET-CHANGE-FROM-OPS>                            6,782
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                          (8)
<DISTRIBUTIONS-OF-GAINS>                          (33)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            111
<NUMBER-OF-SHARES-REDEEMED>                       (90)
<SHARES-REINVESTED>                                 3
<NET-CHANGE-IN-ASSETS>                          47,403
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,082
<AVERAGE-NET-ASSETS>                            84,650
<PER-SHARE-NAV-BEGIN>                            12.96
<PER-SHARE-NII>                                    .17
<PER-SHARE-GAIN-APPREC>                           1.09
<PER-SHARE-DIVIDEND>                             (.12)
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              13.62
<EXPENSE-RATIO>                                    .85
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 021
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS A
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           97,593
<INVESTMENTS-AT-VALUE>                         110,188
<RECEIVABLES>                                    1,374
<ASSETS-OTHER>                                     489
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 112,051
<PAYABLE-FOR-SECURITIES>                            35
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          329
<TOTAL-LIABILITIES>                                364
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        98,201
<SHARES-COMMON-STOCK>                            4,653
<SHARES-COMMON-PRIOR>                            2,288
<ACCUMULATED-NII-CURRENT>                          132
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            759
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        12,595
<NET-ASSETS>                                   111,687
<DIVIDEND-INCOME>                                  660
<INTEREST-INCOME>                                2,539
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,646)
<NET-INVESTMENT-INCOME>                          1,553
<REALIZED-GAINS-CURRENT>                         1,335
<APPREC-INCREASE-CURRENT>                        5,063
<NET-CHANGE-FROM-OPS>                            7,951
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (753)
<DISTRIBUTIONS-OF-GAINS>                       (1,098)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          2,925
<NUMBER-OF-SHARES-REDEEMED>                      (717)
<SHARES-REINVESTED>                                157
<NET-CHANGE-IN-ASSETS>                          48,287
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,646
<AVERAGE-NET-ASSETS>                            84,981
<PER-SHARE-NAV-BEGIN>                            12.01
<PER-SHARE-NII>                                    .24
<PER-SHARE-GAIN-APPREC>                            .87
<PER-SHARE-DIVIDEND>                             (.22)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.49
<EXPENSE-RATIO>                                   1.48
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 022
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS B
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           97,593
<INVESTMENTS-AT-VALUE>                         110,188
<RECEIVABLES>                                    1,374
<ASSETS-OTHER>                                     489
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 112,051
<PAYABLE-FOR-SECURITIES>                            35
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          329
<TOTAL-LIABILITIES>                                364
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        98,201
<SHARES-COMMON-STOCK>                            3,408
<SHARES-COMMON-PRIOR>                            2,466
<ACCUMULATED-NII-CURRENT>                          132
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            759
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        12,595
<NET-ASSETS>                                   111,687
<DIVIDEND-INCOME>                                  660
<INTEREST-INCOME>                                2,539
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,646)
<NET-INVESTMENT-INCOME>                          1,553
<REALIZED-GAINS-CURRENT>                         1,335
<APPREC-INCREASE-CURRENT>                        5,063
<NET-CHANGE-FROM-OPS>                            7,951
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (355)
<DISTRIBUTIONS-OF-GAINS>                       (1,115)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,763
<NUMBER-OF-SHARES-REDEEMED>                      (945)
<SHARES-REINVESTED>                                124
<NET-CHANGE-IN-ASSETS>                          48,287
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,646
<AVERAGE-NET-ASSETS>                            84,981
<PER-SHARE-NAV-BEGIN>                            12.00
<PER-SHARE-NII>                                    .15
<PER-SHARE-GAIN-APPREC>                            .86
<PER-SHARE-DIVIDEND>                             (.12)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.48
<EXPENSE-RATIO>                                   2.36
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 023
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS C
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           97,593
<INVESTMENTS-AT-VALUE>                         110,188
<RECEIVABLES>                                    1,374
<ASSETS-OTHER>                                     489
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 112,051
<PAYABLE-FOR-SECURITIES>                            35
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          329
<TOTAL-LIABILITIES>                                364
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        98,201
<SHARES-COMMON-STOCK>                              860
<SHARES-COMMON-PRIOR>                              494
<ACCUMULATED-NII-CURRENT>                          132
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            759
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        12,595
<NET-ASSETS>                                   111,687
<DIVIDEND-INCOME>                                  660
<INTEREST-INCOME>                                2,539
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,646)
<NET-INVESTMENT-INCOME>                          1,553
<REALIZED-GAINS-CURRENT>                         1,335
<APPREC-INCREASE-CURRENT>                        5,063
<NET-CHANGE-FROM-OPS>                            7,951
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (100)
<DISTRIBUTIONS-OF-GAINS>                         (250)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            505
<NUMBER-OF-SHARES-REDEEMED>                      (168)
<SHARES-REINVESTED>                                 29
<NET-CHANGE-IN-ASSETS>                          48,287
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,646
<AVERAGE-NET-ASSETS>                            84,981
<PER-SHARE-NAV-BEGIN>                            11.98
<PER-SHARE-NII>                                    .14
<PER-SHARE-GAIN-APPREC>                            .87
<PER-SHARE-DIVIDEND>                             (.14)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.44
<EXPENSE-RATIO>                                   2.39
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 024
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS I
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           97,593
<INVESTMENTS-AT-VALUE>                         110,188
<RECEIVABLES>                                    1,374
<ASSETS-OTHER>                                     489
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 112,051
<PAYABLE-FOR-SECURITIES>                            33
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          329
<TOTAL-LIABILITIES>                                364
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        98,201
<SHARES-COMMON-STOCK>                               29
<SHARES-COMMON-PRIOR>                               33
<ACCUMULATED-NII-CURRENT>                          132
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            759
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        12,595
<NET-ASSETS>                                   111,687
<DIVIDEND-INCOME>                                  660
<INTEREST-INCOME>                                2,539
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,646)
<NET-INVESTMENT-INCOME>                          1,553
<REALIZED-GAINS-CURRENT>                         1,335
<APPREC-INCREASE-CURRENT>                        5,063
<NET-CHANGE-FROM-OPS>                            7,951
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                          (9)
<DISTRIBUTIONS-OF-GAINS>                          (14)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             33
<NUMBER-OF-SHARES-REDEEMED>                       (39)
<SHARES-REINVESTED>                                  2
<NET-CHANGE-IN-ASSETS>                          48,287
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,646
<AVERAGE-NET-ASSETS>                            84,981
<PER-SHARE-NAV-BEGIN>                            11.97
<PER-SHARE-NII>                                    .35
<PER-SHARE-GAIN-APPREC>                            .84
<PER-SHARE-DIVIDEND>                             (.29)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.46
<EXPENSE-RATIO>                                    .99
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 031
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS A
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           50,439
<INVESTMENTS-AT-VALUE>                          54,213
<RECEIVABLES>                                      842
<ASSETS-OTHER>                                     427
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  55,482
<PAYABLE-FOR-SECURITIES>                            16
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          131
<TOTAL-LIABILITIES>                                147
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        51,096
<SHARES-COMMON-STOCK>                            2,349
<SHARES-COMMON-PRIOR>                            1,070
<ACCUMULATED-NII-CURRENT>                          237
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            228
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         3,774
<NET-ASSETS>                                    55,335
<DIVIDEND-INCOME>                                  221
<INTEREST-INCOME>                                1,836
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (812)
<NET-INVESTMENT-INCOME>                          1,245
<REALIZED-GAINS-CURRENT>                           528
<APPREC-INCREASE-CURRENT>                        1,289
<NET-CHANGE-FROM-OPS>                            3,062
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (527)
<DISTRIBUTIONS-OF-GAINS>                         (358)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          2,059
<NUMBER-OF-SHARES-REDEEMED>                      (858)
<SHARES-REINVESTED>                                 78
<NET-CHANGE-IN-ASSETS>                          24,635
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              242
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    812
<AVERAGE-NET-ASSETS>                            41,640
<PER-SHARE-NAV-BEGIN>                            11.06
<PER-SHARE-NII>                                    .35
<PER-SHARE-GAIN-APPREC>                            .47
<PER-SHARE-DIVIDEND>                             (.35)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.26
<EXPENSE-RATIO>                                   1.64
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 032
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS B
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           50,439
<INVESTMENTS-AT-VALUE>                          54,213
<RECEIVABLES>                                      842
<ASSETS-OTHER>                                     427
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  55,482
<PAYABLE-FOR-SECURITIES>                            16
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          131
<TOTAL-LIABILITIES>                                147
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        51,096
<SHARES-COMMON-STOCK>                            2,099
<SHARES-COMMON-PRIOR>                            1,413
<ACCUMULATED-NII-CURRENT>                          237
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            228
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         3,774
<NET-ASSETS>                                    55,335
<DIVIDEND-INCOME>                                  221
<INTEREST-INCOME>                                1,836
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (812)
<NET-INVESTMENT-INCOME>                          1,245
<REALIZED-GAINS-CURRENT>                           528
<APPREC-INCREASE-CURRENT>                        1,289
<NET-CHANGE-FROM-OPS>                            3,062
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (484)
<DISTRIBUTIONS-OF-GAINS>                         (464)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,414
<NUMBER-OF-SHARES-REDEEMED>                      (812)
<SHARES-REINVESTED>                                 84
<NET-CHANGE-IN-ASSETS>                          24,635
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              242
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    812
<AVERAGE-NET-ASSETS>                            41,640
<PER-SHARE-NAV-BEGIN>                            11.06
<PER-SHARE-NII>                                    .30
<PER-SHARE-GAIN-APPREC>                            .47
<PER-SHARE-DIVIDEND>                             (.28)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.28
<EXPENSE-RATIO>                                   2.17
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND 
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 033
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS C
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           50,439
<INVESTMENTS-AT-VALUE>                          54,213
<RECEIVABLES>                                      842
<ASSETS-OTHER>                                     427
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  55,482
<PAYABLE-FOR-SECURITIES>                            16
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          131
<TOTAL-LIABILITIES>                                147
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        51,096
<SHARES-COMMON-STOCK>                              444
<SHARES-COMMON-PRIOR>                              281
<ACCUMULATED-NII-CURRENT>                          237
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            228
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         3,774
<NET-ASSETS>                                    55,335
<DIVIDEND-INCOME>                                  221
<INTEREST-INCOME>                                1,836
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (812)
<NET-INVESTMENT-INCOME>                          1,245
<REALIZED-GAINS-CURRENT>                           528
<APPREC-INCREASE-CURRENT>                        1,289
<NET-CHANGE-FROM-OPS>                            3,062
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (107)
<DISTRIBUTIONS-OF-GAINS>                          (95)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            242
<NUMBER-OF-SHARES-REDEEMED>                       (97)
<SHARES-REINVESTED>                                 18
<NET-CHANGE-IN-ASSETS>                          24,635
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              242
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    812
<AVERAGE-NET-ASSETS>                            41,640
<PER-SHARE-NAV-BEGIN>                            11.07
<PER-SHARE-NII>                                    .28
<PER-SHARE-GAIN-APPREC>                            .47
<PER-SHARE-DIVIDEND>                             (.28)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.27
<EXPENSE-RATIO>                                   2.18
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND 
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 034
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS I
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           50,439
<INVESTMENTS-AT-VALUE>                          54,213
<RECEIVABLES>                                      842
<ASSETS-OTHER>                                     427
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  55,482
<PAYABLE-FOR-SECURITIES>                            16
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          131
<TOTAL-LIABILITIES>                                147
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        51,096
<SHARES-COMMON-STOCK>                               19
<SHARES-COMMON-PRIOR>                               12
<ACCUMULATED-NII-CURRENT>                          237
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            228
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         3,774
<NET-ASSETS>                                    55,335
<DIVIDEND-INCOME>                                  221
<INTEREST-INCOME>                                1,836
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (812)
<NET-INVESTMENT-INCOME>                          1,245
<REALIZED-GAINS-CURRENT>                           528
<APPREC-INCREASE-CURRENT>                        1,289
<NET-CHANGE-FROM-OPS>                            3,062
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                          (6)
<DISTRIBUTIONS-OF-GAINS>                           (3)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              7
<NUMBER-OF-SHARES-REDEEMED>                        (1)
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          24,635
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              242
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    812
<AVERAGE-NET-ASSETS>                            41,640
<PER-SHARE-NAV-BEGIN>                            11.06
<PER-SHARE-NII>                                    .41
<PER-SHARE-GAIN-APPREC>                            .47
<PER-SHARE-DIVIDEND>                             (.39)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.28
<EXPENSE-RATIO>                                   1.03
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</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  fraud
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 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 specific  internal
control components does not reduce to a relatively low level the risk
that errors or fraud 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  the
board  of  trustees  and management and the Securities  and  Exchange
Commission.


                                        ERNST & YOUNG LLP

Chicago, Illinois
September 17, 1998


Kemper Funds                                      Exhibit A

July 31, 1998

Kemper Horizon Funds-
  Kemper Horizon 20+ Portfolio
  Kemper Horizon 10+ Portfolio
  Kemper Horizon 5 Portfolio

Kemper Target Equity Funds-
  Kemper Retirement Fund Series I
  Kemper Retirement Fund Series II
  Kemper Retirement Fund Series III
  Kemper Retirement Fund Series IV
  Kemper Retirement Fund Series V
  Kemper Retirement Fund Series VI
  Kemper Retirement Fund Series VII
  Kemper WorldWide 2004

Cash Equivalent Fund-
  Money Market Portfolio
  Government Securities Portfolio
  Tax Exempt Portfolio

Zurich Money Funds-
  Zurich Money Market Funds
  Zurich Government Money Fund
  Zurich Tax-Free Money Fund

Zurich Yieldwise Money Fund



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