KEMPER HORIZON FUND
NSAR-B, 1996-09-26
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<PAGE>      PAGE  1
000 B000000 07/31/96
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 3127811121
002 A000000 120 SOUTH LASALLE STREET
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60603
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000  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 ZURICH KEMPER INVESTMENTS, INC.
008 B00AA01 A
008 C00AA01 801-6634
008 D01AA01 CHICAGO
008 D02AA01 IL
008 D03AA01 60603
008 A00AA02 DREMAN VALUE ADVISORS, INC.
008 B00AA02 S
008 C00AA02 801-35060
008 D01AA02 JERSEY CITY
008 D02AA02 NJ
008 D03AA02 07302
010 A00AA01 KEMPER DISTRIBUTORS, INC.
<PAGE>      PAGE  2
010 B00AA01 8-47765
010 C01AA01 CHICAGO
010 C02AA01 IL
010 C03AA01 60603
011 A00AA01 KEMPER DISTRIBUTORS, INC.
011 B00AA01 8-47765
011 C01AA01 CHICAGO
011 C02AA01 IL
011 C03AA01 60603
012 A00AA01 KEMPER SERVICE COMPANY
012 B00AA01 84-1713
012 C01AA01 KANSAS CITY
012 C02AA01 MO
012 C03AA01 64105
013 A00AA01 ERNST & YOUNG LLP
013 B01AA01 CHICAGO
013 B02AA01 IL
013 B03AA01 60606
014 A00AA01 KEMPER DISTRIBUTORS, INC.
014 B00AA01 8-47765
014 A00AA02 GRUNTAL SECURITIES, INC.
014 B00AA02 8-31022
014 A00AA03 THE GMS GROUP, INC.
014 B00AA03 8-23936
015 A00AA01 INVESTORS FIDUCIARY TRUST COMPANY
015 B00AA01 C
015 C01AA01 KANSAS CITY
015 C02AA01 MO
015 C03AA01 64105
015 E01AA01 X
015 A00AA02 CHASE MANHATTAN BANK, N.A.
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   55
019 C00AA00 KEMPERFNDS
020 A000001 TIEDEMANN INTERNATIONAL RESEARCH, INC.
020 B000001 13-3506065
020 C000001     35
020 A000002 BRIDGE TRADING COMPANY
020 B000002 43-1450530
<PAGE>      PAGE  3
020 C000002      9
020 A000003 SALOMON BROTHERS INC.
020 B000003 13-3082694
020 C000003      5
020 A000004 NOMURA SECURITIES INTERNATIONAL, INC.
020 B000004 13-2642206
020 C000004      4
020 A000005 STANDARD & POOR'S SECURITIES, INC.
020 B000005 13-2671951
020 C000005      4
020 A000006 DUNLEVY & CO., INC.
020 B000006 13-2919975
020 C000006      3
020 A000007 SMITH BARNEY SHEARSON
020 B000007 13-1912900
020 C000007      3
020 A000008 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
020 B000008 13-5674085
020 C000008      3
020 A000009 WERTHEIM SCHRODER & CO. INCORPORATED
020 B000009 13-2697272
020 C000009      2
020 A000010 COUNTY NATWEST GOVERNMENT SECURITIES, INC.
020 B000010 UNKNOWN
020 C000010      2
021  000000       92
022 A000001 FIRST CHICAGO NBD CORP.
022 B000001 36-0899825
022 C000001     13524
022 D000001      8249
022 A000002 BEAR STEARNS & CO. INC.
022 B000002 13-3299429
022 C000002      8495
022 D000002         0
022 A000003 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000003 13-5674085
022 C000003      5672
022 D000003      2596
022 A000004 CS FIRST BOSTON, INC.
022 B000004 13-5659485
022 C000004      4625
022 D000004         0
022 A000005 DONALDSON, LUFKIN & JENRETTE SECURITIES CORP.
022 B000005 13-2741729
022 C000005      2677
022 D000005      1780
022 A000006 SALOMON BROTHERS INC.
022 B000006 13-3082694
022 C000006      3784
022 D000006       141
022 A000007 TROSTER SINGER
<PAGE>      PAGE  4
022 B000007 UNKNOWN
022 C000007      2287
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022 A000008 GOLDMAN, SACHS & COMPANY
022 B000008 13-5108880
022 C000008      1443
022 D000008       104
022 A000009 PAINWEBBER INCORPORATED
022 B000009 13-2638166
022 C000009       878
022 D000009         0
022 A000010 LEHMAN BROTHERS INCORPORATED
022 B000010 13-2518466
022 C000010       662
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<PAGE>      PAGE  5
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<PAGE>      PAGE  6
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080 A00AA00 ICI MUTUAL INSURANCE COMPANY
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<PAGE>      PAGE  7
086 F010000      0
086 F020000      0
025 A000101 FIRST CHICAGO NBD CORP.
025 B000101 36-0899825
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<PAGE>      PAGE  8
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070 I020100 N
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070 J020100 N
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<PAGE>      PAGE  9
070 P020100 N
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070 Q020100 N
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<PAGE>      PAGE  10
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025 A000201 FIRST CHICAGO NBD CORP.
025 B000201 36-0899825
025 C000201 E
025 D000201      50
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<PAGE>      PAGE  11
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<PAGE>      PAGE  12
070 F020200 N
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070 G020200 N
070 H010200 Y
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070 L020200 Y
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071 B000200      4181
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<PAGE>      PAGE  13
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<PAGE>      PAGE  14
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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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SIGNATURE   JEROME L DUFFY                               
TITLE       TREASURER           
 


<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 JANUARY 31, 1996 SEMI-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> 10
   <NAME> KEMPER HORIZON 20+ COMBINED
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                          972,000
<INVESTMENTS-AT-VALUE>                         999,000
<RECEIVABLES>                                  231,000
<ASSETS-OTHER>                                 158,000
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               1,388,000
<PAYABLE-FOR-SECURITIES>                       364,000
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        1,000
<TOTAL-LIABILITIES>                            365,000
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       996,000
<SHARES-COMMON-STOCK>                                0
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (1,000)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        27,000
<NET-ASSETS>                                 1,023,000
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                1,000
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,000)
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                       27,000
<NET-CHANGE-FROM-OPS>                           26,000
<EQUALIZATION>                                   1,000
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                         923,000
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                          (1,000)
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                (1,000)
<AVERAGE-NET-ASSETS>                           511,673
<PER-SHARE-NAV-BEGIN>                                0
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                                  0
<EXPENSE-RATIO>                                      0
<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 1996 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> 1000
       
<S>                             <C>
<PERIOD-TYPE>                    7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,497
<INVESTMENTS-AT-VALUE>                          18,936
<RECEIVABLES>                                      205
<ASSETS-OTHER>                                      67
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,208
<PAYABLE-FOR-SECURITIES>                           918
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           39
<TOTAL-LIABILITIES>                                957
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        18,784
<SHARES-COMMON-STOCK>                              831
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          134
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (106)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (561)
<NET-ASSETS>                                    18,251
<DIVIDEND-INCOME>                                   63
<INTEREST-INCOME>                                   88
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (92)
<NET-INVESTMENT-INCOME>                             59
<REALIZED-GAINS-CURRENT>                         (102)
<APPREC-INCREASE-CURRENT>                        (561)
<NET-CHANGE-FROM-OPS>                            (604)
<EQUALIZATION>                                      71
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            854
<NUMBER-OF-SHARES-REDEEMED>                       (26)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          18,151
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     95
<AVERAGE-NET-ASSETS>                             8,652
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .18
<PER-SHARE-GAIN-APPREC>                            .04
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.72
<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 1996 ANNUAL REPORT TO SHAREHOLDERS
AND IS QUAILIFED IN ITS ENTIRETY BY REFERNECE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 012
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,497
<INVESTMENTS-AT-VALUE>                          18,936
<RECEIVABLES>                                      205
<ASSETS-OTHER>                                      67
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,208
<PAYABLE-FOR-SECURITIES>                           918
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           39
<TOTAL-LIABILITIES>                                957
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        18,784
<SHARES-COMMON-STOCK>                              873
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          134
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (106)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (561)
<NET-ASSETS>                                    18,251
<DIVIDEND-INCOME>                                   63
<INTEREST-INCOME>                                   88
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (92)
<NET-INVESTMENT-INCOME>                             59
<REALIZED-GAINS-CURRENT>                         (102)
<APPREC-INCREASE-CURRENT>                        (561)
<NET-CHANGE-FROM-OPS>                            (604)
<EQUALIZATION>                                      71
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            888
<NUMBER-OF-SHARES-REDEEMED>                       (18)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          18,151
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     95
<AVERAGE-NET-ASSETS>                             8,652
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .11
<PER-SHARE-GAIN-APPREC>                            .04
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.65
<EXPENSE-RATIO>                                   2.26
<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 1996 ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERNECE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 013
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,497
<INVESTMENTS-AT-VALUE>                          18,936
<RECEIVABLES>                                      205
<ASSETS-OTHER>                                      67
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,208
<PAYABLE-FOR-SECURITIES>                           918
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           39
<TOTAL-LIABILITIES>                                957
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        18,784
<SHARES-COMMON-STOCK>                               82
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          134
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (106)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (561)
<NET-ASSETS>                                    18,251
<DIVIDEND-INCOME>                                   63
<INTEREST-INCOME>                                   88
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (92)
<NET-INVESTMENT-INCOME>                             59
<REALIZED-GAINS-CURRENT>                         (102)
<APPREC-INCREASE-CURRENT>                        (561)
<NET-CHANGE-FROM-OPS>                            (604)
<EQUALIZATION>                                      71
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             86
<NUMBER-OF-SHARES-REDEEMED>                        (7)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          18,151
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     95
<AVERAGE-NET-ASSETS>                             8,652
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .13
<PER-SHARE-GAIN-APPREC>                            .04
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.67
<EXPENSE-RATIO>                                   2.23
<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 1996 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> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   4-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             APR-08-1996
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,497
<INVESTMENTS-AT-VALUE>                          18,936
<RECEIVABLES>                                      205
<ASSETS-OTHER>                                      67
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,208
<PAYABLE-FOR-SECURITIES>                           918
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           39
<TOTAL-LIABILITIES>                                957
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        18,784
<SHARES-COMMON-STOCK>                               98
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          134
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (106)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (561)
<NET-ASSETS>                                    18,251
<DIVIDEND-INCOME>                                   63
<INTEREST-INCOME>                                   88
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (92)
<NET-INVESTMENT-INCOME>                             59
<REALIZED-GAINS-CURRENT>                         (102)
<APPREC-INCREASE-CURRENT>                        (561)
<NET-CHANGE-FROM-OPS>                            (604)
<EQUALIZATION>                                      71
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            103
<NUMBER-OF-SHARES-REDEEMED>                        (5)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          18,151
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     95
<AVERAGE-NET-ASSETS>                             8,652
<PER-SHARE-NAV-BEGIN>                            10.03
<PER-SHARE-NII>                                    .07
<PER-SHARE-GAIN-APPREC>                          (.37)
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.73
<EXPENSE-RATIO>                                    .73
<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 JANUARY 31,1996 SEMI-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> 20
   <NAME> KEMPER HORIZON 10+ COMBINED
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                        1,301,000
<INVESTMENTS-AT-VALUE>                       1,342,000
<RECEIVABLES>                                  164,000
<ASSETS-OTHER>                                 193,000
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               1,699,000
<PAYABLE-FOR-SECURITIES>                       336,000
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        1,000
<TOTAL-LIABILITIES>                            337,000
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     1,321,000
<SHARES-COMMON-STOCK>                                0
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (2,000)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        41,000
<NET-ASSETS>                                 1,362,000
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                2,000
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (2,000)
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                       41,000
<NET-CHANGE-FROM-OPS>                           39,000
<EQUALIZATION>                                   2,000
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                       1,262,000
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                          (2,000)
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                (2,000)
<AVERAGE-NET-ASSETS>                           681,179
<PER-SHARE-NAV-BEGIN>                                0
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                                  0
<EXPENSE-RATIO>                                      0
<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 1996 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> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,347
<INVESTMENTS-AT-VALUE>                          18,958
<RECEIVABLES>                                      550
<ASSETS-OTHER>                                     164
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,672
<PAYABLE-FOR-SECURITIES>                           733
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           27
<TOTAL-LIABILITIES>                                760
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,258
<SHARES-COMMON-STOCK>                              973
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          135
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (92)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (389)
<NET-ASSETS>                                    18,912
<DIVIDEND-INCOME>                                   47
<INTEREST-INCOME>                                  152
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (95)
<NET-INVESTMENT-INCOME>                            104
<REALIZED-GAINS-CURRENT>                          (88)
<APPREC-INCREASE-CURRENT>                        (389)
<NET-CHANGE-FROM-OPS>                            (373)
<EQUALIZATION>                                      97
<DISTRIBUTIONS-OF-INCOME>                         (48)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            986
<NUMBER-OF-SHARES-REDEEMED>                       (21)
<SHARES-REINVESTED>                                  5
<NET-CHANGE-IN-ASSETS>                          18,812
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     97
<AVERAGE-NET-ASSETS>                             8,744
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .20
<PER-SHARE-GAIN-APPREC>                          (.04)
<PER-SHARE-DIVIDEND>                             (.06)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.60
<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 1996 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> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,347
<INVESTMENTS-AT-VALUE>                          18,958
<RECEIVABLES>                                      550
<ASSETS-OTHER>                                     164
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,672
<PAYABLE-FOR-SECURITIES>                           733
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           27
<TOTAL-LIABILITIES>                                760
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,258
<SHARES-COMMON-STOCK>                              898
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          135
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (92)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (389)
<NET-ASSETS>                                    18,912
<DIVIDEND-INCOME>                                   47
<INTEREST-INCOME>                                  152
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (95)
<NET-INVESTMENT-INCOME>                            104
<REALIZED-GAINS-CURRENT>                          (88)
<APPREC-INCREASE-CURRENT>                        (389)
<NET-CHANGE-FROM-OPS>                            (373)
<EQUALIZATION>                                      97
<DISTRIBUTIONS-OF-INCOME>                         (19)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            920
<NUMBER-OF-SHARES-REDEEMED>                       (27)
<SHARES-REINVESTED>                                  2
<NET-CHANGE-IN-ASSETS>                          18,812
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     97
<AVERAGE-NET-ASSETS>                             8,744
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .17
<PER-SHARE-GAIN-APPREC>                          (.04)
<PER-SHARE-DIVIDEND>                             (.03)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.60
<EXPENSE-RATIO>                                   2.26
<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 1996 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> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,347
<INVESTMENTS-AT-VALUE>                          18,958
<RECEIVABLES>                                      550
<ASSETS-OTHER>                                     164
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,672
<PAYABLE-FOR-SECURITIES>                           733
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           27
<TOTAL-LIABILITIES>                                760
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,258
<SHARES-COMMON-STOCK>                               89
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          135
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (92)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (389)
<NET-ASSETS>                                    18,912
<DIVIDEND-INCOME>                                   47
<INTEREST-INCOME>                                  152
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (95)
<NET-INVESTMENT-INCOME>                            104
<REALIZED-GAINS-CURRENT>                          (88)
<APPREC-INCREASE-CURRENT>                        (389)
<NET-CHANGE-FROM-OPS>                            (373)
<EQUALIZATION>                                      97
<DISTRIBUTIONS-OF-INCOME>                          (3)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             89
<NUMBER-OF-SHARES-REDEEMED>                        (4)
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          18,812
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     97
<AVERAGE-NET-ASSETS>                             8,744
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .17
<PER-SHARE-GAIN-APPREC>                          (.04)
<PER-SHARE-DIVIDEND>                             (.03)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.60
<EXPENSE-RATIO>                                   2.23
<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 1996 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> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   4-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             APR-08-1996
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,347
<INVESTMENTS-AT-VALUE>                          18,958
<RECEIVABLES>                                      550
<ASSETS-OTHER>                                     164
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,672
<PAYABLE-FOR-SECURITIES>                           733
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           27
<TOTAL-LIABILITIES>                                760
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,258
<SHARES-COMMON-STOCK>                               11
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          135
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (92)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (389)
<NET-ASSETS>                                    18,912
<DIVIDEND-INCOME>                                   47
<INTEREST-INCOME>                                  152
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (95)
<NET-INVESTMENT-INCOME>                            104
<REALIZED-GAINS-CURRENT>                          (88)
<APPREC-INCREASE-CURRENT>                        (389)
<NET-CHANGE-FROM-OPS>                            (373)
<EQUALIZATION>                                      97
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             12
<NUMBER-OF-SHARES-REDEEMED>                        (1)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          18,812
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     97
<AVERAGE-NET-ASSETS>                             8,744
<PER-SHARE-NAV-BEGIN>                             9.83
<PER-SHARE-NII>                                    .09
<PER-SHARE-GAIN-APPREC>                          (.26)
<PER-SHARE-DIVIDEND>                             (.09)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.57
<EXPENSE-RATIO>                                    .73
<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 JANUARY, 31, 1996 SEMI-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> 30
   <NAME> KEMPER HORIZON 5 COMBINED
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                          632,000
<INVESTMENTS-AT-VALUE>                         648,000
<RECEIVABLES>                                   86,000
<ASSETS-OTHER>                                  70,000
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 804,000
<PAYABLE-FOR-SECURITIES>                        67,000
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        1,000
<TOTAL-LIABILITIES>                             68,000
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       719,000
<SHARES-COMMON-STOCK>                                0
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        16,000
<NET-ASSETS>                                   736,000
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                1,000
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,000)
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                       16,000
<NET-CHANGE-FROM-OPS>                           16,000
<EQUALIZATION>                                   1,000
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                         636,000
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                          (1,000)
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                (1,000)
<AVERAGE-NET-ASSETS>                           368,229
<PER-SHARE-NAV-BEGIN>                                0
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                                  0
<EXPENSE-RATIO>                                      0
<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 1996 ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERNECE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 031
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           10,665
<INVESTMENTS-AT-VALUE>                          10,509
<RECEIVABLES>                                      396
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  10,905
<PAYABLE-FOR-SECURITIES>                            36
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           38
<TOTAL-LIABILITIES>                                 74
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        10,955
<SHARES-COMMON-STOCK>                              461
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                           76
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (44)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (156)
<NET-ASSETS>                                    10,831
<DIVIDEND-INCOME>                                   18
<INTEREST-INCOME>                                  120
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (56)
<NET-INVESTMENT-INCOME>                             82
<REALIZED-GAINS-CURRENT>                          (42)
<APPREC-INCREASE-CURRENT>                        (156)
<NET-CHANGE-FROM-OPS>                            (116)
<EQUALIZATION>                                      46
<DISTRIBUTIONS-OF-INCOME>                         (28)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            509
<NUMBER-OF-SHARES-REDEEMED>                       (54)
<SHARES-REINVESTED>                                  3
<NET-CHANGE-IN-ASSETS>                          10,731
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               17
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     57
<AVERAGE-NET-ASSETS>                             5,062
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .25
<PER-SHARE-GAIN-APPREC>                          (.07)
<PER-SHARE-DIVIDEND>                             (.11)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.57
<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 1996 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERNECE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 032
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           10,665
<INVESTMENTS-AT-VALUE>                          10,509
<RECEIVABLES>                                      396
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  10,905
<PAYABLE-FOR-SECURITIES>                            36
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           38
<TOTAL-LIABILITIES>                                 74
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        10,955
<SHARES-COMMON-STOCK>                              596
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                           76
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (44)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (156)
<NET-ASSETS>                                    10,831
<DIVIDEND-INCOME>                                   18
<INTEREST-INCOME>                                  120
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (56)
<NET-INVESTMENT-INCOME>                             82
<REALIZED-GAINS-CURRENT>                          (42)
<APPREC-INCREASE-CURRENT>                        (156)
<NET-CHANGE-FROM-OPS>                            (116)
<EQUALIZATION>                                      46
<DISTRIBUTIONS-OF-INCOME>                         (23)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            611
<NUMBER-OF-SHARES-REDEEMED>                       (20)
<SHARES-REINVESTED>                                  2
<NET-CHANGE-IN-ASSETS>                          10,731
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               17
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     57
<AVERAGE-NET-ASSETS>                             5,062
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .21
<PER-SHARE-GAIN-APPREC>                          (.07)
<PER-SHARE-DIVIDEND>                             (.07)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.57
<EXPENSE-RATIO>                                   2.26
<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 1996 ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERNECE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 033
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           10,665
<INVESTMENTS-AT-VALUE>                          10,509
<RECEIVABLES>                                      396
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  10,905
<PAYABLE-FOR-SECURITIES>                            36
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           38
<TOTAL-LIABILITIES>                                 74
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        10,955
<SHARES-COMMON-STOCK>                               64
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                           76
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (44)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (156)
<NET-ASSETS>                                    10,831
<DIVIDEND-INCOME>                                   18
<INTEREST-INCOME>                                  120
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (56)
<NET-INVESTMENT-INCOME>                             82
<REALIZED-GAINS-CURRENT>                          (42)
<APPREC-INCREASE-CURRENT>                        (156)
<NET-CHANGE-FROM-OPS>                            (116)
<EQUALIZATION>                                      46
<DISTRIBUTIONS-OF-INCOME>                          (3)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             64
<NUMBER-OF-SHARES-REDEEMED>                        (4) 
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          10,731
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               17
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     57
<AVERAGE-NET-ASSETS>                             5,062
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .21
<PER-SHARE-GAIN-APPREC>                          (.07)
<PER-SHARE-DIVIDEND>                             (.07)
<PER-SHARE-DISTRIBUTIONS>                         9.57
<RETURNS-OF-CAPITAL>                              2.23
<PER-SHARE-NAV-END>                                  0
<EXPENSE-RATIO>                                      0
<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 1996 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> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   4-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             APR-08-1996
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           10,665
<INVESTMENTS-AT-VALUE>                          10,509
<RECEIVABLES>                                      396
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  10,905
<PAYABLE-FOR-SECURITIES>                            36
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           38
<TOTAL-LIABILITIES>                                 74
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        10,955
<SHARES-COMMON-STOCK>                               11
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                           76
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (44)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (156)
<NET-ASSETS>                                    10,831
<DIVIDEND-INCOME>                                   18
<INTEREST-INCOME>                                  120
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (56)
<NET-INVESTMENT-INCOME>                             82
<REALIZED-GAINS-CURRENT>                          (42)
<APPREC-INCREASE-CURRENT>                        (156)
<NET-CHANGE-FROM-OPS>                            (116)
<EQUALIZATION>                                      46
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             10
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          10,731
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               17
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     57
<AVERAGE-NET-ASSETS>                             5,062
<PER-SHARE-NAV-BEGIN>                             9.69
<PER-SHARE-NII>                                    .08
<PER-SHARE-GAIN-APPREC>                          (.11)
<PER-SHARE-DIVIDEND>                             (.08)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.58
<EXPENSE-RATIO>                                    .73
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

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

The  management  of  the Funds is responsible  for  establishing  and
maintaining  an  internal  control  structure.   In  fulfilling  this
responsibility, estimates and judgments by management are required to
assess  the  expected benefits and related costs of internal  control
structure  policies  and procedures.  Two of  the  objectives  of  an
internal control structure are to provide management with reasonable,
but  not absolute, assurance that assets are safeguarded against loss
from  unauthorized  use  or  disposition and  that  transactions  are
executed  in accordance with management's authorization and  recorded
properly  to permit preparation of financial statements in conformity
with generally accepted accounting principles.

Because  of  inherent limitations in any internal control  structure,
errors  or  irregularities  may occur and  not  be  detected.   Also,
projection  of any evaluation of the structure 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  structure  would  not
necessarily  disclose all matters in the internal  control  structure
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  the
specific  internal control structure elements 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  structure, including procedures  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
August 29, 1996





Kemper Funds                                      Exhibit A

July 31, 1996



Kemper Horizon Fund
   Kemper Horizon 20+ Portfolio
   Kemper Horizon 10+ Portfolio
   Kemper Horizon 5 Portfolio









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