TCW/DW CORE EQUITY TRUST
NSAR-B, 1996-05-30
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<PAGE>      PAGE  1
000 B000000 03/31/96
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000 E000000 NF
000 F000000 Y
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000 J000000 A
001 A000000 TCW/DW CORE EQUITY TRUST
001 B000000 811-6551
001 C000000 2123922550
002 A000000 TWO WORLD TRADE CENTER
002 B000000 NEW YORK
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008 A000001 TCW FUNDS MANAGEMENT, INC.
008 B000001 A
008 C000001 801-29075
008 D010001 LOS ANGELES
008 D020001 CA
008 D030001 90017
010 A000001 DEAN WITTER SERVICES COMPANY INC.
010 C010001 NEW YORK
010 C020001 NY
010 C030001 10048
<PAGE>      PAGE  3
011 A000001 DEAN WITTER DISTRIBUTORS INC.
011 B000001 8-45262
011 C010001 NEW YORK
011 C020001 NY
011 C030001 10048
012 A000001 DEAN WITTER TRUST COMPANY
012 B000001 84-1785
012 C010001 JERSEY CITY
012 C020001 NJ
012 C030001 07311
013 A000001 PRICE WATERHOUSE LLP
013 B010001 NEW YORK
013 B020001 NY
013 B030001 10026
014 A000001 DELETE
015 A000001 THE BANK OF NEW YORK
015 B000001 C
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015 C030001 10286
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020 A000001 AUTRANET INC.
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020 A000002 FIDELITY CAPITAL
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020 C000002    116
020 A000003 LEHMAN BROTHERS
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020 C000003     75
020 A000004 DEAN WITTER REYNOLDS INC.
020 B000004 94-1671384
020 C000004     63
020 A000005 GOLDMAN SACHS & CO.
020 B000005 13-5108880
020 C000005     63
020 A000006 CITATION GROUP CO
020 B000006 13-3081331
020 C000006     49
020 A000007 MORGAN STANLEY
020 B000007 13-2655998
020 C000007     44
020 A000008 DONALDSON LUFKIN JENRETTE
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020 C000008     40
020 A000009 NATWEST SECURITIES
020 B000009 13-3312778
<PAGE>      PAGE  4
020 C000009     40
020 A000010 BEAR STEARNS & CO.
020 B000010 13-3299429
020 C000010     39
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022 A000001 *BANK OF NEW YORK (THE)
022 B000001 13-5160382
022 C000001   1933856
022 D000001      7538
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022 D000003       464
022 A000004 *BANK OF AMERICA NT & SA
022 B000004 94-1687665
022 C000004     29806
022 D000004         0
022 A000005 *HSBC SECURITIES INC.
022 B000005 NA
022 C000005     17991
022 D000005         0
022 A000006 *MERRILL LYNCH PIERCE FENNER & SMITH INC.
022 B000006 13-5674085
022 C000006     14976
022 D000006      2372
022 A000007 *CS FIRST BOSTON CORPORATION
022 B000007 13-5659485
022 C000007       304
022 D000007     16438
022 A000008 *ZIONS FIRST NATIONAL BANK - CAPITAL MARKETS
022 B000008 87-0189025
022 C000008     14992
022 D000008         0
022 A000009 *MORGAN STANLEY & CO.
022 B000009 13-2655998
022 C000009      5781
022 D000009      2016
022 A000010 *SMITH BARNEY SHEARSON INC.
022 B000010 13-1912900
022 C000010      4991
022 D000010      2339
023 C000000    2101057
023 D000000      56552
024  000000 Y
025 A000001 MERRILL LYNCH & CO INC.
025 B000001 13-5674085
025 C000001 E
<PAGE>      PAGE  5
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<PAGE>      PAGE  6
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SIGNATURE   SHELDON CURTIS                               
TITLE       VICE PRESIDENT      
 


<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
ANNUAL REPORT FOR THE YEAR ENDED 03-31-96
TCW/DW CORE EQUITY TRUST
</LEGEND>
       
<S>                             <C>
<PERIOD-TYPE>                  12-MOS
<FISCAL-YEAR-END>                          MAR-31-1996
<PERIOD-END>                               MAR-31-1996
<INVESTMENTS-AT-COST>                      536,053,178
<INVESTMENTS-AT-VALUE>                     771,915,190
<RECEIVABLES>                                2,966,397
<ASSETS-OTHER>                                 100,549
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                             774,982,136
<PAYABLE-FOR-SECURITIES>                     6,250,222
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                    1,562,224
<TOTAL-LIABILITIES>                          7,812,446
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                   501,729,343
<SHARES-COMMON-STOCK>                       50,826,342
<SHARES-COMMON-PRIOR>                       57,586,091
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                     29,578,335
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                   235,862,012
<NET-ASSETS>                               767,169,690
<DIVIDEND-INCOME>                            7,854,434
<INTEREST-INCOME>                              496,938
<OTHER-INCOME>                                       0
<EXPENSES-NET>                              13,781,131
<NET-INVESTMENT-INCOME>                    (5,429,759)
<REALIZED-GAINS-CURRENT>                    68,877,185
<APPREC-INCREASE-CURRENT>                  100,384,305
<NET-CHANGE-FROM-OPS>                      163,831,731
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                      4,293,001
<NUMBER-OF-SHARES-REDEEMED>               (11,052,750)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                      69,819,232
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                 (39,298,850)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                        6,423,834
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                             13,781,131
<AVERAGE-NET-ASSETS>                       756,627,573
<PER-SHARE-NAV-BEGIN>                            12.11
<PER-SHARE-NII>                                  (.11)
<PER-SHARE-GAIN-APPREC>                           3.09
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              15.09
<EXPENSE-RATIO>                                   1.82
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        


</TABLE>


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