FEDERATED GNMA TRUST
NSAR-A, 1994-09-29
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SIGNATURE   S. ELLIOTT COHAN                             
TITLE       ASST. GEN. COUNSEL  
 

WARNING: THE EDGAR SYSTEM ENCOUNTERED ERROR(S) WHILE PROCESSING THIS SCHEDULE.

<TABLE> <S> <C>

                                  Exhibit 17 under Form N-1A
                          Exhibit 27 under Item 601 Reg. S-K

FEDERATED GNMA TRUST
INSTITUTIONAL SHARES


<ARTICLE>                                             6


<PERIOD-TYPE>                                    6-MOS
<FISCAL-YEAR-END>                           JAN-31-1995
<PERIOD-END>                                JUL-31-1994
<INVESTMENTS-AT-COST>                     1,895,272,585
<INVESTMENTS-AT-VALUE>                    1,855,003,411
<RECEIVABLES>                                20,100,498
<ASSETS-OTHER>                                   16,735
<OTHER-ITEMS-ASSETS>                                  0
<TOTAL-ASSETS>                            1,875,120,644
<PAYABLE-FOR-SECURITIES>                     60,127,396
<SENIOR-LONG-TERM-DEBT>                               0
<OTHER-ITEMS-LIABILITIES>                    60,634,209
<TOTAL-LIABILITIES>                         120,761,605
<SENIOR-EQUITY>                                       0
<PAID-IN-CAPITAL-COMMON>                  1,941,110,831
<SHARES-COMMON-STOCK>                       149,392,209
<SHARES-COMMON-PRIOR>                       164,134,198
<ACCUMULATED-NII-CURRENT>                             0
<OVERDISTRIBUTION-NII>                                0
<ACCUMULATED-NET-GAINS>                   (146,482,618)
<OVERDISTRIBUTION-GAINS>                              0
<ACCUM-APPREC-OR-DEPREC>                   (40,269,174)
<NET-ASSETS>                              1,626,934,639
<DIVIDEND-INCOME>                                     0
<INTEREST-INCOME>                            71,863,089
<OTHER-INCOME>                                        0
<EXPENSES-NET>                                5,239,781
<NET-INVESTMENT-INCOME>                      66,623,308
<REALIZED-GAINS-CURRENT>                   (52,197,584)
<APPREC-INCREASE-CURRENT>                  (77,764,243)
<NET-CHANGE-FROM-OPS>                        63,338,519
<EQUALIZATION>                                        0
<DISTRIBUTIONS-OF-INCOME>                    61,987,517
<DISTRIBUTIONS-OF-GAINS>                              0
<DISTRIBUTIONS-OTHER>                                 0
<NUMBER-OF-SHARES-SOLD>                      20,223,605
<NUMBER-OF-SHARES-REDEEMED>                  36,208,758
<SHARES-REINVESTED>                           1,243,164
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<ACCUMULATED-NII-PRIOR>                 0
<ACCUMULATED-GAINS-PRIOR>                  (94,285,034)
<OVERDISTRIB-NII-PRIOR>                               0
<OVERDIST-NET-GAINS-PRIOR>                            0
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<INTEREST-EXPENSE>                              702,521
<GROSS-EXPENSE>                               5,372,442
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<PER-SHARE-NAV-BEGIN>                            11.640
<PER-SHARE-NII>                                    .400
<PER-SHARE-GAIN-APPREC>                          (.750)
<PER-SHARE-DIVIDEND>                               .400
<PER-SHARE-DISTRIBUTIONS>                           000
<RETURNS-OF-CAPITAL>                                000
<PER-SHARE-NAV-END>                              10.890
<EXPENSE-RATIO>                                      55
<AVG-DEBT-OUTSTANDING>                       30,763,792
<AVG-DEBT-PER-SHARE>                              0.184



</TABLE>
WARNING: THE EDGAR SYSTEM ENCOUNTERED ERROR(S) WHILE PROCESSING THIS SCHEDULE.

<TABLE> <S> <C>

                                  Exhibit 17 under Form N-1A
                          Exhibit 27 under Item 601 Reg. S-K

FEDERATED GNMA TRUST
INSTITUTIONAL SERVICE SHARES


<ARTICLE>                                             6


<PERIOD-TYPE>                                    6-MOS
<FISCAL-YEAR-END>                           JAN-31-1995
<PERIOD-END>                                JUL-31-1994
<INVESTMENTS-AT-COST>                     1,895,272,585
<INVESTMENTS-AT-VALUE>                    1,855,003,411
<RECEIVABLES>                                20,100,498
<ASSETS-OTHER>                                   16,735
<OTHER-ITEMS-ASSETS>                                  0
<TOTAL-ASSETS>                            1,875,120,644
<PAYABLE-FOR-SECURITIES>                     60,127,396
<SENIOR-LONG-TERM-DEBT>                               0
<OTHER-ITEMS-LIABILITIES>                    60,634,209
<TOTAL-LIABILITIES>                         120,761,605
<SENIOR-EQUITY>                                       0
<PAID-IN-CAPITAL-COMMON>                  1,941,110,831
<SHARES-COMMON-STOCK>                        11,700,457
<SHARES-COMMON-PRIOR>                        11,790,122
<ACCUMULATED-NII-CURRENT>                             0
<OVERDISTRIBUTION-NII>                                0
<ACCUMULATED-NET-GAINS>                   (146,482,618)
<OVERDISTRIBUTION-GAINS>                              0
<ACCUM-APPREC-OR-DEPREC>                   (40,269,174)
<NET-ASSETS>                                127,424,400
<DIVIDEND-INCOME>                                     0
<INTEREST-INCOME>                            71,863,089
<OTHER-INCOME>                                        0
<EXPENSES-NET>                                5,239,781
<NET-INVESTMENT-INCOME>                      66,623,308
<REALIZED-GAINS-CURRENT>                   (52,197,584)
<APPREC-INCREASE-CURRENT>                  (77,764,243)
<NET-CHANGE-FROM-OPS>                        63,338,519
<EQUALIZATION>                                        0
<DISTRIBUTIONS-OF-INCOME>                     4,635,791
<DISTRIBUTIONS-OF-GAINS>                              0
<DISTRIBUTIONS-OTHER>                                 0
<NUMBER-OF-SHARES-SOLD>                       1,908,017
<NUMBER-OF-SHARES-REDEEMED>                   2,275,052
<SHARES-REINVESTED>                             277,370
<NET-CHANGE-IN-ASSETS>                      293,375,261
<ACCUMULATED-NII-PRIOR>                               0
<ACCUMULATED-GAINS-PRIOR>                  (94,285,034)
<OVERDISTRIB-NII-PRIOR>                               0
<OVERDIST-NET-GAINS-PRIOR>                            0
<GROSS-ADVISORY-FEES>                         3,684,411
<INTEREST-EXPENSE>                              702,521
<GROSS-EXPENSE>                               5,372,442
<AVERAGE-NET-ASSETS>                      1,862,721,211
<PER-SHARE-NAV-BEGIN>                            11.640
<PER-SHARE-NII>                                    .390
<PER-SHARE-GAIN-APPREC>                          (.750)
<PER-SHARE-DIVIDEND>                               .390
<PER-SHARE-DISTRIBUTIONS>                           000
<RETURNS-OF-CAPITAL>                                000
<PER-SHARE-NAV-END>                              10.890
<EXPENSE-RATIO>                                      77
<AVG-DEBT-OUTSTANDING>                       30,763,792
<AVG-DEBT-PER-SHARE>                              0.184


</TABLE>


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