FEDERATED GNMA TRUST
N-30D, 1999-09-30
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SEMI-ANNUAL REPORT

President's Message

Dear Investor:

I am pleased to present the Semi-Annual Report to Shareholders for Federated
GNMA Trust. The report covers the six-month period from February 1, 1999 through
July 31, 1999, and includes the fund's investment review, portfolio holdings,
and financial statements.

In pursuit of monthly income, the fund's portfolio invests primarily in a
portfolio of Government National Mortgage Association securities. Dividends paid
by the fund during the six-month period totaled $0.34 per share for
Institutional Shares and $0.33 per share for Institutional Service Shares. The
net asset value for both share classes decreased by $0.52 to end the reporting
period at $10.86. Total returns for Institutional Shares and Institutional
Service Shares were (1.65%) 1 and (1.73%)1 respectively. The fund's net assets
totaled $974 million on the last day of the reporting period.

Thank you for selecting Federated GNMA Trust as a prudent, professionally
managed way to pursue investment income. Your questions and comments are always
welcome.

Sincerely,

[Graphic]

Glen R. Johnson

President

September 15, 1999

1 Performance quoted represents past performance and is not indicative of future
results. Investment return and principal value will fluctuate, so that an
investor's shares, when redeemed, may be worth more or less than their original
cost.

Investment Review

Federated GNMA Trust invests in securities backed by the full faith and credit
of the U.S. government. While the fund invests primarily in mortgage-backed
securities ("MBS") issued or guaranteed by the Government National Mortgage
Association (GNMA), the fund may also invest in U.S. Treasury securities.

Improving overseas economies, a fading "flight-to-quality" bid for U.S. Treasury
securities, strong U.S. economic growth and concern over potential inflation
combined to raise yields significantly over the semi-annual reporting period.
Two-year and ten-year Treasuries closed the reporting period yielding 5.62% and
5.90%, respectively, increases of 98 and 116 basis points, respectively.

As overseas economies and financial markets stabilized after the events of 1998,
investor demand for Treasury securities declined and attention returned to
economic fundamentals, which indicated continued strong U.S. consumer demand.
While the domestic economy continued to display a remarkable blend of robust
growth and subdued inflation, concern over potential inflationary pressures was
a contributing factor behind Federal Reserve Board (the "Fed") action. On June
30, 1999, the Fed increased the federal funds target rate by 25 basis points to
5.00%.

While impressive productivity growth, highly competitive markets and low import
prices continued to hold inflation at bay, a possible inflationary flare-up due
to a 30-year low in the unemployment rate and rising commodity prices had the
Fed on alert. Commodity prices, most notably oil, rose substantially over the
reporting period. The Fed's action served dual purposes-to remove a portion of
1998's easings deemed no longer necessary to aid financial markets and to act as
a preemptive strike against inflation.

For MBS, yield movements significantly altered sector risk and improved the
outlook. Concern over mortgage prepayments declined precipitously as mortgage
rates climbed approximately 100 basis points to nearly 8.00%. Current rates are
the highest of the past two years, resulting in reduced refinance risk. Evidence
of the diminished risk can be seen in the Mortgage Bankers Refinance Index,
which declined nearly 70.00% during the reporting period.

While the prepayment picture showed marked improvement, the effect of rising
interest rates negatively impacted GNMA MBS prices which declined over the
reporting period. Premium coupon GNMAs outperformed relative to lower coupons as
current and discount mortgages experienced greater duration extension versus
premiums as rates increased. Mortgage spreads, which initially tightened over
the first two and one-half months of the reporting period, ended the reporting
period wider. The par-priced GNMA current coupon spread was 164 basis points as
of July 31, 1999, an increase of 18 basis points.

Given historically attractive spreads, declining refinance applications and
prepayments, we are positive on the GNMA MBS sector. While the near term
contains uncertainties given Y2K-driven concerns over accelerated debt issuance
schedules (corporate and asset-backed securities) and liquidity, the mortgage
market offers attractive valuations and the expectation of declining production,
a combination of factors that should offer investors a solid investment
opportunity.

The fund's net total returns for Institutional Shares and Institutional Service
Shares for the semi-annual period ending July 31, 1999, were (1.65%) 1 and
(1.73%),1 respectively, compared to (0.79%) for the Lehman Brothers GNMA Index.2

1 Performance quoted represents past performance and is not indicative of future
results. Investment return and principal value will fluctuate, so that an
investor's shares, when redeemed, may be worth more or less than their original
cost.

2 The Lehman Brothers GNMA Index is a total comprehensive GNMA index comprised
of 30-year GNMA pass-throughs, 15-year GNMA pass-throughs and GNMA GPMS. This
index is unmanaged and investments cannot be made in an index.

Shareholder Meeting Results

A Special Meeting of Shareholders of Federated GNMA Trust was held on June 21,
1999. On April 23, 1999, the record date for shareholders voting at the meeting,
there were 90,729,760 total outstanding shares. The following items were
considered by shareholders and the results of their voting were as follows:

AGENDA ITEM 1

Election of Trustees: 1

<TABLE>

<CAPTION>

                                                 WITHHELD
                                                 AUTHORITY

                                    FOR          TO VOTE

<S>                                 <C>          <C>
Thomas G. Bigley                    62,563,279   230,089
Nicholas P. Constantakis            62,587,861   205,507
John F. Cunningham                  62,603,712   189,656
J. Christopher Donahue              62,597,735   195,633
Charles F. Mansfield, Jr.           62,598,754   194,614
John E. Murray, Jr., J.D., S.J.D.   62,608,839   184,529
John S. Walsh                       62,609,347   184,021

</TABLE>

1 The following Trustees continued their terms as Trustees: John F.
Donahue, John T. Conroy, Jr., Lawrence D. Ellis, M.D., Peter E. Madden and
Marjorie P. Smuts.

AGENDA ITEM 2

To ratify the selection of Deloitte & Touche LLP as the fund's independent
auditors.

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
62,208,836   116,154        468,377

</TABLE>

AGENDA ITEM 3

To make changes to the fund's fundamental investment policies:

(a) To amend the fund's fundamental investment policy regarding diversification:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
57,480,067   1,881,674      3,431,627

</TABLE>

(b) To amend the fund's fundamental investment policy regarding borrowing money
and issuing senior securities:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
57,508,810   1,976,187      3,308,371

</TABLE>

(c) To amend the fund's fundamental investment policy regarding investing in
real estate:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
57,655,865   1,828,672      3,308,831

</TABLE>

(d) To amend the fund's fundamental investment policy regarding investing in
commodities:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
57,392,580   2,113,047      3,287,741

</TABLE>

(e) To amend the fund's fundamental investment policy regarding underwriting
securities:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
57,401,655   2,029,864      3,361,849

</TABLE>

(f) To amend the fund's fundamental investment policy regarding lending assets:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
57,252,394   2,249,793      3,291,181

</TABLE>

(g) To amend, and to make non-fundamental, the fund's fundamental investment
policy on buying securities on margin:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
57,286,842   2,144,908      3,361,618

</TABLE>

(h) To amend, and to make non-fundamental, the fund's fundamental investment
policy on assets:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
57,002,467   2,408,664      3,382,237

</TABLE>

AGENDA ITEM 4

To eliminate the fund's fundamental investment policy regarding selling
securities short:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
56,960,462   2,401,504      3,431,402

</TABLE>

AGENDA ITEM 5

To approve amendments and a restatement to the fund's Declaration of Trust:

(a) To require the approval by a majority of the outstanding voting shares in
the event of the sale or conveyance of the assets of the fund to another trust
or corporation:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
59,149,471   845,347        2,798,550

</TABLE>

(b) To permit the Board of Trustees to liquidate assets of the fund without
seeking shareholder approval:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
53,870,944   6,118,570      2,803,854

</TABLE>

(c) To permit the Board of Trustees to change the name of the fund without
seeking shareholder approval:

<TABLE>

<CAPTION>

             ABSTENTIONS    WITHHELD
             AND BROKER     AUTHORITY

FOR          NON-VOTES      TO VOTE
<S>          <C>            <C>
54,508,469   5,431,665      2,853,234

</TABLE>

Portfolio of Investments

JULY 31, 1999 (UNAUDITED)

<TABLE>

<CAPTION>

PRINCIPAL

AMOUNT                                                        VALUE
<S>                  <C>                              <C>

                     LONG-TERM GOVERNMENT

                     OBLIGATIONS-99.5%

                     GOVERNMENT NATIONAL
                     MORTGAGE ASSOCIATION-99.5% 1

  $  43,832,671      6.000%, 11/15/2023 -
                     1/15/2029                        $   40,507,337
    301,024,315    2 6.500%, 10/15/2023 -
                     5/15/2029                           286,518,303
    319,476,486      7.000%, 6/15/2027 -
                     8/15/2029                           311,298,469
    211,270,990      7.500%, 12/15/2023 -
                     8/15/2029                           211,019,125
    105,548,909      8.000%, 7/15/2017 -
                     8/15/2029                           108,032,744
     11,155,213      8.500%, 10/15/2017                   11,744,319
                     TOTAL LONG-TERM GOVERNMENT

                     OBLIGATIONS

                     (IDENTIFIED COST $1,002,147,138)    969,120,297
                     REPURCHASE AGREEMENTS-15.6% 3

    143,334,000 4, 5 Credit Suisse First
                     Boston, Inc., 5.010%,
                     dated 7/20/1999, due

                     8/24/1999                           143,334,000

      8,785,000      Societe Generale, New
                     York, 5.060%, dated

                     7/30/1999, due 8/2/1999               8,785,000

                     TOTAL REPURCHASE
                     AGREEMENTS (AT AMORTIZED

                     COST)                               152,119,000

                     TOTAL INVESTMENTS
                     (IDENTIFIED COST

                     $1,154,266,138) 6                $1,121,239,297

</TABLE>

1 Because of monthly principal payments, the average lives of the Government
National Mortgage Association Modified Pass-Through securities, (based upon
Federal Housing Authority/Veterans Administration historical experience) are
less than the stated maturities.

2 All or a portion of this security is subject to a future dollar roll
transaction.

3 The repurchase agreements are fully collateralized by U.S. government and/or
agency obligations based on market prices at the date of the portfolio. The
investments in the repurchase agreements are through participation in joint
accounts with other Federated funds.

4 Although final maturity falls beyond seven days, a liquidity feature is
included in each transaction to permit termination of the repurchase agreement
within seven days if the creditworthiness of the issuer is downgraded.

5 Security held as collateral for future dollar roll transaction.

6 The cost of investments for federal tax purposes amounts to $1,154,266,138.
The net unrealized depreciation of investments on a federal tax basis amounts to
$33,026,841 which is comprised of $1,346,645 appreciation and $34,373,486
depreciation at July 31, 1999.

Note: The categories of investments are shown as a percentage of net assets
($974,149,998) at July 31, 1999.

See Notes which are an integral part of the Financial Statements

Statement of Assets and Liabilities

JULY 31, 1999 (UNAUDITED)

<TABLE>

<CAPTION>

<S>                             <C>               <C>
ASSETS:
Total investments in
securities, at value
(identified and tax cost
$1,154,266,138)                                   $ 1,121,239,297
Income receivable                                       4,892,570
Receivable for investments
sold                                                   44,124,229
Receivable for shares sold                                347,821
TOTAL ASSETS                                        1,170,603,917
LIABILITIES:

Payable for investments

purchased                       $  45,371,315
Payable for shares
redeemed                               99,657
Income distribution
payable                             4,927,972
Payable for dollar roll
transactions                      145,962,755
Accrued expenses                       92,220
TOTAL LIABILITIES                                     196,453,919
Net assets for 89,696,958
shares outstanding                                $   974,149,998
NET ASSETS CONSIST OF:

Paid in capital                                   $ 1,099,333,200
Net unrealized
depreciation of
investments                                           (33,026,841)
Accumulated net realized
loss on investments                                   (92,154,052)
Distributions in excess of
net investment income                                      (2,309)
TOTAL NET ASSETS                                  $   974,149,998
NET ASSET VALUE, OFFERING
PRICE AND REDEMPTION
PROCEEDS PER SHARE
INSTITUTIONAL SHARES:
$906,224,771 / 83,442,655
shares outstanding                                         $10.86
INSTITUTIONAL SERVICE
SHARES:
$67,925,227 / 6,254,303
shares outstanding                                         $10.86

</TABLE>

See Notes which are an integral part of the Financial Statements

Statement of Operations

SIX MONTHS ENDED JULY 31, 1999 (UNAUDITED)

<TABLE>

<CAPTION>

<S>                             <C>              <C>               <C>
INVESTMENT INCOME:
Interest (net of dollar
roll expense of $220,540)                                          $  33,885,564
EXPENSES:

Investment advisory fee                          $ 2,021,821
Administrative personnel
and services fee                                     381,113
Custodian fees                                        44,182
Transfer and dividend
disbursing agent fees and
expenses                                             158,748
Trustees' fees                                        10,580
Auditing fees                                         10,615
Legal fees                                             3,303
Portfolio accounting fees                             72,640
Distribution services fee-
Institutional Service
Shares                                                82,579
Shareholder services fee-
Institutional Shares                               1,181,062
Shareholder services fee-
Institutional Service
Shares                                                82,579
Share registration costs                              15,905
Printing and postage                                  15,198
Insurance premiums                                     2,217
Miscellaneous                                          5,054
TOTAL EXPENSES                                     4,087,596
WAIVERS:
Waiver of distribution
services fee-Institutional
Service Shares                  $  (80,267)
Waiver of shareholder
services fee-Institutional
Shares                            (755,880)
Waiver of shareholder
services fee-Institutional
Service Shares                      (2,312)
TOTAL WAIVERS                                       (838,459)
Net expenses                                                           3,249,137
Net investment income                                                 30,636,427
REALIZED AND UNREALIZED
GAIN (LOSS) ON
INVESTMENTS:
Net realized gain on
investments                                                            6,509,796
Net change in unrealized
appreciation of
investments                                                          (54,149,759)
Net realized and
unrealized loss on
investments                                                           (47,639,963)
Change in net assets
resulting from operations                                          $  (17,003,536)

</TABLE>

See Notes which are an integral part of the Financial Statements

Statement of Changes in Net Assets

<TABLE>

<CAPTION>

                                     SIX MONTHS                  YEAR
                                          ENDED                 ENDED

                                    (unaudited)           JANUARY 31,
                                  JULY 31, 1999                  1999

<S>                             <C>                   <C>
INCREASE (DECREASE) IN NET

ASSETS
OPERATIONS:

Net investment income           $    30,636,427       $    67,946,888
Net realized gain on
investments ($6,509,796
and $12,165,305,
respectively, as computed
for federal tax purposes)             6,509,796            12,243,870
Net change in unrealized
appreciation of
investments                         (54,149,759)          (11,968,147)
CHANGE IN NET ASSETS

RESULTING FROM OPERATIONS           (17,003,536)           68,222,611
DISTRIBUTIONS TO
SHAREHOLDERS:

Distributions from net
investment income

Institutional Shares                (28,677,151)          (64,170,667)
Institutional Service
Shares                               (1,954,105)           (3,776,221)
CHANGE IN NET ASSETS
RESULTING FROM

DISTRIBUTIONS

TO SHAREHOLDERS                     (30,631,256)          (67,946,888)
SHARE TRANSACTIONS:
Proceeds from sale of shares        138,201,035           239,681,334
Net asset value of shares
issued to shareholders in
payment of
distributions declared                7,969,131            22,096,774
Cost of shares redeemed            (179,874,377)         (355,657,998)
CHANGE IN NET ASSETS
RESULTING FROM SHARE

TRANSACTIONS                        (33,704,211)          (93,879,890)
Change in net assets                (81,339,003)          (93,604,167)
NET ASSETS:

Beginning of period               1,055,489,001         1,149,093,168
End of period                   $   974,149,998       $ 1,055,489,001

</TABLE>

See Notes which are an integral part of the Financial Statements

Financial Highlights-Institutional Shares

(FOR A SHARE OUTSTANDING THROUGHOUT EACH PERIOD)

<TABLE>

<CAPTION>

                               SIX MONTHS

                                    ENDED

                              (unaudited)

                                 JULY 31,                           YEAR ENDED JANUARY 31,

                                     1999          1999           1998          1997            1996           1995
<S>                              <C>           <C>          <C>            <C>            <C>            <C>
NET ASSET VALUE, BEGINNING
OF PERIOD                          $11.38        $11.38         $11.13        $11.34          $10.61         $11.64
INCOME FROM
INVESTMENT OPERATIONS:

Net investment income                0.34          0.70           0.73          0.74            0.78           0.82
Net realized and
unrealized gain (loss) on
investments                         (0.52)            -           0.25         (0.21)           0.73          (1.03)
TOTAL FROM

INVESTMENT OPERATIONS               (0.18)         0.70           0.98          0.53            1.51          (0.21)
LESS DISTRIBUTIONS:
Distributions from net
investment income                   (0.34)        (0.70)         (0.73)        (0.74)          (0.77)         (0.82)
Distributions in excess of
net investment income 1                 -             -              -             -           (0.01)             -
TOTAL DISTRIBUTIONS                 (0.34)        (0.70)         (0.73)         (0.74)         (0.78)         (0.82)
NET ASSET VALUE, END OF

PERIOD                             $10.86        $11.38         $11.38         $11.13         $11.34         $10.61
TOTAL RETURN 2                      (1.65%)        6.30%          9.17%          4.97%         14.61%         (1.71%)

RATIOS TO AVERAGE NET ASSETS:

Expenses 3                           0.79% 4       0.77%          0.78%          0.80%          0.80%          0.56%
Net investment income 3              5.91% 4       5.97%          6.39%          6.54%          6.82%          7.51%
Expenses (after waivers)             0.63% 4       0.61%          0.60%          0.60%          0.60%          0.56%
Net investment income
(after waivers)                      6.07% 4       6.13%          6.57%          6.74%          7.02%          7.51%
SUPPLEMENTAL DATA:
Net assets, end of period

(000 omitted)                    $906,225      $991,334     $1,087,227     $1,199,733     $1,352,894     $1,442,074
Portfolio turnover                     55%          104%            74%            63%            43%           136%

</TABLE>

1 Distributions are determined in accordance with income tax regulations which
may differ from generally accepted accounting principles. These distributions
did not represent a return of capital for federal income tax purposes.

2 Based on net asset value, which does not reflect the sales charge or
contingent deferred sales charge, if applicable.

3 During the period, certain fees were voluntarily waived. If such voluntary
waivers had not occurred, the ratios would have been as indicated.

4 Computed on an annualized basis.

See Notes which are an integral part of the Financial Statements

Financial Highlights-Institutional Service Shares

(FOR A SHARE OUTSTANDING THROUGHOUT EACH PERIOD)

<TABLE>

<CAPTION>

                               SIX MONTHS

                                    ENDED

                              (unaudited)

                                 JULY 31,                     YEAR ENDED JANUARY 31,
                                     1999         1999        1998        1997         1996         1995
<S>                               <C>          <C>         <C>         <C>         <C>          <C>
NET ASSET VALUE, BEGINNING
OF PERIOD                          $11.38       $11.38      $11.13      $11.34       $10.61       $11.64

INCOME FROM
INVESTMENT OPERATIONS:

Net investment income                0.32         0.68        0.72        0.74         0.78         0.79
Net realized and
unrealized gain (loss) on
investments                         (0.51)           -        0.24       (0.23)        0.71        (1.03)
TOTAL FROM INVESTMENT

OPERATIONS                          (0.19)        0.68        0.96        0.51         1.49        (0.24)
LESS DISTRIBUTIONS:

Distributions from net

investment income                   (0.33)       (0.68)      (0.71)      (0.72)       (0.76)       (0.79)
NET ASSET VALUE, END OF

PERIOD                             $10.86       $11.38      $11.38      $11.13       $11.34       $10.61
TOTAL RETURN 1                      (1.73%)       6.11%       8.95%       4.76%       14.39%       (1.92%)

RATIOS TO AVERAGE NET ASSETS:

Expenses 2                           1.04% 3      1.02%       1.03%       1.05%        1.05%        0.91%
Net investment income 2              5.66% 3      5.72%       6.14%       6.29%        6.57%        7.18%
Expenses (after waivers)             0.79% 3      0.77%       0.78%       0.80%        0.80%        0.77%
Net investment income
(after waivers)                      5.91% 3      5.97%       6.39%       6.54%        6.82%        7.32%
SUPPLEMENTAL DATA:
Net assets, end of period

(000 omitted)                     $67,925      $64,155     $61,866     $73,857     $123,614     $120,427
Portfolio turnover                     55%         104%         74%         63%          43%         136%

</TABLE>

1 Based on net asset value, which does not reflect the sales charge or
contingent deferred sales charge, if applicable.

2 During the period, certain fees were voluntarily waived. If such voluntary
waivers had not occurred, the ratios would have been as indicated.

3 Computed on an annualized basis.

See Notes which are an integral part of the Financial Statements

Notes to Financial Statements

JULY 31, 1999 (UNAUDITED)

ORGANIZATION

Federated GNMA Trust (the "Fund") is registered under the Investment Company Act
of 1940, as amended (the "Act"), as a diversified, open-end management
investment company. The Fund offers two classes of shares: Institutional Shares
and Institutional Service Shares. The Fund's objective is current income.

SIGNIFICANT ACCOUNTING POLICIES

The following is a summary of significant accounting policies consistently
followed by the Fund in the preparation of its financial statements. These
policies are in conformity with generally accepted accounting principles.

INVESTMENT VALUATIONS

U.S. government securities are generally valued at the mean of the latest bid
and asked price as furnished by an independent pricing service. Short- term
securities are valued at the prices provided by an independent pricing service.
However, short-term securities with remaining maturities of 60 days or less at
the time of purchase may be valued at amortized cost, which approximates fair
market value.

REPURCHASE AGREEMENTS

It is the policy of the Fund to require the custodian bank to take possession,
to have legally segregated in the Federal Reserve Book Entry System, or to have
segregated within the custodian bank's vault, all securities held as collateral
under repurchase agreement transactions. Additionally, procedures have been
established by the Fund to monitor, on a daily basis, the market value of each
repurchase agreement's collateral to ensure that the value of collateral at
least equals the repurchase price to be paid under the repurchase agreement
transaction.

The Fund will only enter into repurchase agreements with banks and other
recognized financial institutions, such as broker/dealers, which are deemed by
the Fund's adviser to be creditworthy pursuant to the guidelines and/or
standards reviewed or established by the Board of Trustees (the "Trustees").
Risks may arise from the potential inability of counterparties to honor the
terms of the repurchase agreement. Accordingly, the Fund could receive less than
the repurchase price on the sale of collateral securities.

INVESTMENT INCOME, EXPENSES AND DISTRIBUTIONS

Interest income and expenses are accrued daily. Bond premium and discount, if
applicable, are amortized as required by the Internal Revenue Code, as amended
(the "Code"). Distributions to shareholders are recorded on the ex- dividend
date.

FEDERAL TAXES

It is the Fund's policy to comply with the provisions of the Code applicable to
regulated investment companies and to distribute to shareholders each year
substantially all of its income. Accordingly, no provisions for federal tax are
necessary.

At January 31, 1999, the Fund, for federal tax purposes, had a capital loss
carryforward of $98,742,414, which will reduce the Fund's taxable income arising
from future net realized gain on investments, if any, to the extent permitted by
the Code, and thus will reduce the amount of the distributions to shareholders
which would otherwise be necessary to relieve the Fund of any liability for
federal tax. Pursuant to the Code, such capital loss carryforward will expire as
follows:

<TABLE>

<CAPTION>

EXPIRATION YEAR   EXPIRATION AMOUNT
<S>                    <C>
2001                   $  5,182,436
2003                     71,738,355
2004                     21,821,623

</TABLE>

WHEN-ISSUED AND DELAYED DELIVERY TRANSACTIONS

The Fund may engage in when-issued or delayed delivery transactions. The Fund
records when-issued securities on the trade date and maintains security
positions such that sufficient liquid assets will be available to make payment
for the securities purchased. Securities purchased on a when- issued or delayed
delivery basis are marked to market daily and begin earning interest on the
settlement date.

DOLLAR ROLL TRANSACTIONS

The Fund enters into dollar roll transactions, with respect to mortgage
securities issued by GNMA in which the Fund sells mortgage securities to
financial institutions and simultaneously agrees to accept substantially similar
(same type, coupon and maturity) securities at a later date at an agreed upon
price. Dollar roll transactions involve "to be announced" securities and are
treated as short-term financing arrangements which will not exceed 12 months.
The Fund will use the proceeds generated from the transactions to invest in
short-term investments, which may enhance the Fund's current yield and total
return.

USE OF ESTIMATES

The preparation of financial statements in conformity with generally accepted
accounting principles requires management to make estimates and assumptions that
affect the amounts of assets, liabilities, expenses and revenues reported in the
financial statements. Actual results could differ from those estimated.

OTHER

Investment transactions are accounted for on the trade date.

SHARES OF BENEFICIAL INTEREST

The Declaration of Trust permits the Trustees to issue an unlimited number of
full and fractional shares of beneficial interest (without par value) for each
class of shares.

Transactions in shares were as follows:

<TABLE>

<CAPTION>

                                     SIX MONTHS ENDED                 YEAR ENDED
                                      JULY 31, 1999                JANUARY 31, 1999

INSTITUTIONAL SHARES:            SHARES          AMOUNT         SHARES          AMOUNT
<S>                           <C>           <C>              <C>            <C>
Shares sold                    10,976,407   $  122,836,201    19,361,451    $  219,785,865
Shares issued to
shareholders in payment of
distributions declared            625,442        6,999,953     1,742,970        19,791,254
Shares redeemed               (15,234,049)    (170,474,274)  (29,566,047)     (335,709,442)
NET CHANGE RESULTING FROM
INSTITUTIONAL SHARE

TRANSACTIONS                   (3,632,200)  $  (40,638,120)   (8,461,626)   $  (96,132,323)

<CAPTION>

                                     SIX MONTHS ENDED               YEAR ENDED
                                       JULY 31, 1999              JANUARY 31, 1999

INSTITUTIONAL SERVICE SHARES:     SHARES          AMOUNT      SHARES          AMOUNT
<S>                             <C>         <C>               <C>          <C>
Shares sold                     1,372,246   $   15,364,834     1,752,306    $   19,895,469
Shares issued to
shareholders in payment of
distributions declared             86,629          969,178       203,023        2,305,520
Shares redeemed                  (839,590)      (9,400,103)   (1,757,129)     (19,948,556)
NET CHANGE RESULTING FROM
INSTITUTIONAL SERVICE

SHARE TRANSACTIONS                619,285        6,933,909       198,200   $    2,252,433
NET CHANGE RESULTING FROM
SHARE TRANSACTIONS             (3,012,915)  $  (33,704,211)   (8,263,426)  $  (93,879,890)

</TABLE>

INVESTMENT ADVISORY FEE AND OTHER TRANSACTIONS WITH AFFILIATES

INVESTMENT ADVISORY FEE

Federated Investment Management Company, the Fund's investment adviser (the
"Adviser"), receives for its services an annual investment advisory fee equal to
0.40% of the Fund's average daily net assets.

ADMINISTRATIVE FEE

Federated Services Company ("FServ"), under the Administrative Services
Agreement, provides the Fund with administrative personnel and services. The fee
paid to FServ is based on the level of average aggregate daily net assets of all
funds advised by subsidiaries of Federated Investors, Inc. for the period. The
administrative fee received during the period of the Administrative Services
Agreement shall be at least $125,000 per portfolio and $30,000 per each
additional class of shares.

DISTRIBUTION SERVICES FEE

The Fund has adopted a Distribution Plan (the "Plan") pursuant to Rule 12b- 1
under the Act. Under the terms of the Plan, the Fund will compensate Federated
Securities Corp. ("FSC"), the principal distributor, from the net assets of the
Fund to finance activities intended to result in the sale of the Fund's
Institutional Service Shares. The Plan provides that the Fund may incur
distribution expenses up to 0.25% of the average daily net assets of the
Institutional Service Shares annually to compensate FSC. FSC may voluntarily
choose to waive any portion of its fee. FSC can modify or terminate this
voluntary waiver at any time at its sole discretion.

SHAREHOLDER SERVICES FEE

Under the terms of a Shareholder Services Agreement with Federated Shareholder
Services Company ("FSSC"), the Fund will pay FSSC up to 0.25% of average daily
net assets of the Fund for the period. The fee paid to FSSC is used to finance
certain services for shareholders and to maintain shareholder accounts. FSSC may
voluntarily choose to waive any portion of its fee. FSSC can modify or terminate
this voluntary waiver at any time at its sole discretion.

TRANSFER AND DIVIDEND DISBURSING AGENT FEES AND EXPENSES

FServ, through its subsidiary FSSC, serves as transfer and dividend disbursing
agent for the Fund. The fee paid to FSSC is based on the size, type, and number
of accounts and transactions made by shareholders.

PORTFOLIO ACCOUNTING FEES

FServ maintains the Fund's accounting records for which it receives a fee. The
fee is based on the level of the Fund's average daily net assets for the period,
plus out-of-pocket expenses.

GENERAL

Certain of the Officers and Trustees of the Fund are Officers and Directors or
Trustees of the above companies.

INVESTMENT TRANSACTIONS

Purchases and sales of investments, excluding short-term securities, for the six
months ended July 31, 1999, were as follows:

<TABLE>

<CAPTION>

<S>         <C>
Purchases   $563,441,713
Sales       $553,205,154

</TABLE>

YEAR 2000

Similar to other financial organizations, the Fund could be adversely affected
if the computer systems used by the Fund's service providers do not properly
process and calculate date-related information and data from and after January
1, 2000. The Fund's Adviser and administrator are taking measures that they
believe are reasonably designed to address the Year 2000 issue with respect to
computer systems that they use and to obtain reasonable assurances that
comparable steps are being taken by each of the Fund's other service providers.
At this time, however, there can be no assurance that these steps will be
sufficient to avoid any adverse impact to the Fund.

Trustees

JOHN F. DONAHUE

THOMAS G. BIGLEY

JOHN T. CONROY, JR.

NICHOLAS P. CONSTANTAKIS

JOHN F. CUNNINGHAM

LAWRENCE D. ELLIS, M.D.

PETER E. MADDEN

JOHN E. MURRAY, JR., J.D., S.J.D.

MARJORIE P. SMUTS

Officers

JOHN F. DONAHUE

Chairman

GLEN R. JOHNSON

President

WILLIAM D. DAWSON, III

Chief Investment Officer

J. CHRISTOPHER DONAHUE

Executive Vice President

EDWARD C. GONZALES

Executive Vice President

JOHN W. MCGONIGLE

Executive Vice President and Secretary

RICHARD B. FISHER

Vice President

RICHARD J. THOMAS

Treasurer

C. GRANT ANDERSON

Assistant Secretary

Mutual funds are not bank deposits or obligations, are not guaranteed by any
bank, and are not insured or guaranteed by the U.S. government, the Federal
Deposit Insurance Corporation, the Federal Reserve Board, or any other
government agency. Investment in mutual funds involves investment risk,
including the possible loss of principal.

This report is authorized for distribution to prospective investors only when
preceded or accompanied by the fund's prospectus which contains facts concerning
its objective and policies, management fees, expenses, and other information.

 [Graphic]
 Federated

 World-Class Investment Manager

 SEMI-ANNUAL REPORT

Federated GNMA Trust

SEMI-ANNUAL REPORT TO SHAREHOLDERS

JULY 31, 1999

 [Graphic]
 Federated

 Federated GNMA Trust
 Federated Investors Funds
 5800 Corporate Drive
 Pittsburgh, PA 15237-7000

 1-800-341-7400

 WWW.FEDERATEDINVESTORS.COM

 Federated Securities Corp., Distributor

Cusip 314184102

Cusip 314184201

8083002 (9/99)

 [Graphic]



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