PRICE T ROWE GNMA FUND
N-30D, 1997-01-10
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<PAGE>
 
Semiannual Report



                    GNMA

                    Fund



                    November 30, 1996


[ART OF LUCKY APPEARS HERE]


T. Rowe Price
<PAGE>
 
Report Highlights
- -----------------

 .    Bonds bounced back in the second half of 1996, erasing negative first half
     performance and producing strong returns for the last six months.

 .    A robust rate of economic growth in the second quarter triggered concerns
     that the Fed might tighten, but moderate growth during the summer calmed
     investors.

 .    Your fund's return was solid during the past six months (7.22%), exceeding
     that of the 12-month period (5.77%), a reflection of weak bond markets
     earlier in the year.

 .    Mortgage prepayments picked up in recent months when rates declined but
     were nowhere near the high levels of three years ago.

 .    We expect economic growth in 1997 to repeat this year's pattern and long-
     term Treasury yields to range between 6% and 7%. In that environment, GNMA
     securities should continue to provide attractive returns.
<PAGE>
 
Fellow Shareholders


The bond market and your fund rebounded during the second half of the year,
erasing the negative returns of the first half and producing strong six-month
returns and reasonable 12-month returns. When the economy slowed during the
summer, fears abated that the Fed would tighten monetary policy following robust
growth in the second quarter.

MARKET ENVIRONMENT

With inflation in the 2.5% to 3% range for several years, and the economy
producing strong job growth and full employment, concerns abounded that any
uptick in inflation beyond that range would be met with higher short-term rates
from the Fed. During the second quarter the economy registered an annualized
growth rate of 4.7%, well above the level considered compatible with moderate
inflation. As a result, long-term Treasury yields rose to more than 7%. However,
signs of accelerating inflation failed to materialize. With economic growth
slowing to around 2% in the third quarter, longer-term rates fell below 6.5% at
the end of November. The federal funds rate target, controlled by the Fed, has
remained at 5.25% for almost a year, and we see no compelling reason at this
time for the Fed to push it either higher or lower.

                           [LINE GRAPH APPEARS HERE]

                       Current Coupon GNMA        10-Year Treasury Note
  11/30/95                     7                          5.74 
  2/29                         6.86                       5.62
  5/31                         6.82                       5.6
  8/31                         7.22                       6.1
  11/30/96                     7.64                       6.4
                               7.99                       6.86
                               7.96                       6.79
                               7.81                       6.72
                               7.9                        6.8
                               8.04                       6.95
                               7.79                       6.71
                               7.44                       6.35
                               7.14                       6.05

The rise in interest rates during the first half drove mortgage prepayments down
to extremely low levels, but the more recent rate declines have led to higher
prepayments from both home sales and mortgage refinancings. However, prepayment
levels at the end of November remain-ed well below the levels of two to three
years ago. The market normally factors anticipated prepayments into the prices
of GNMAs; therefore, as rates began to decline in recent months, the mortgage-
backed securities market underperformed. Should rates decline further, we

1
<PAGE>

Prepayment Rates
                           [LINE GRAPH APPEARS HERE]

would not expect GNMAs to appreciate as much as securities with no early call or
prepayment exposure. In a stable rate environment, however, with yields around
current levels, GNMAs could perform well because of their higher coupon income
relative to Treasuries.

The more subdued prepayment level at this juncture compared with three years ago
indicates that a majority of homeowners have already refinanced their mortgages.
Further, the moderate level of new and existing home sales has served to crimp
prepayment activity because of relocations.

Performance Review

Your fund provided a solid return during the six months ended November 30 and a
respectable return over the past 12 months, with recent performance coming
almost equally from income and capital appreciation.

Returns exceeded the Lipper benchmark over the shorter period and lagged it
slightly over the year. The fund's exposure to lower-coupon GNMAs, which
underperformed higher coupons in the first half, hindered performance earlier
but helped it during the past six months. This exposure was represented both by
securities in the portfolio and in the form of forward contracts, reflected in
the Sector Diversification table following this letter.

Performance Comparison

 
Periods Ended 11/30/96               6 Months     12 Months
- -------------------------------------------------------------
GNMA Fund                            7.22%         5.77%
 .............................................................
Lipper GNMA Funds Average            6.71          5.87
 .............................................................


2
<PAGE>
 
STRATEGY

Against the backdrop of fairly high interest rate volatility during the past 12
months, we reduced fund exposure to long-term Treasuries from 12% to zero, then
lifted it back to 5% by the end of November. We replaced this position initially
with higher-coupon mortgage securities, then bought lower-coupon mortgages and
long-term Treasuries when slower growth seemed evident and interest rates
peaked.

Our investment decisions continued to emphasize protection of principal and a
relatively high level of income. Therefore, we responded to the volatility in
rates by maintaining our core holdings and making peripheral changes according
to our interest rate outlook. This basic strategy involved holding onto our
older, higher-coupon mortgage-backed securities for their coupon income, and
directing new investments to lower-coupon mortgages when rates fell.

The new mortgage positions were made in the forward market, in anticipation of
coupon and principal payments. When the level of income is not sufficient to
take delivery of securities in a particular month, the forward positions can be
rolled out to future months without a negative impact on income, since lower
futures prices make up for lost coupon income.

OUTLOOK

We expect 1997 to repeat this year's economic pattern, with low unemployment,
barely rising inflation, and moderate growth overall, but varying from quarter
to quarter. Through most of this year, the bond market's response to the
economic climate assisted the Federal Reserve in keeping the economy on its
moderate growth track, which is appropriate at this phase of the business cycle.
Until either growth or inflation deviates from its current path, we expect long-
term Treasury yields to move in a range between 6% and 7%.

The recent drop in rates following the November elections reflected an
expectation by the electorate of progress toward a balanced budget. Fed Chairman
Alan Greenspan has stated that a measure of fiscal restraint in Washington could
lead to lower short-term rates, and prospects of a balanced budget in the not-
too-distant future should increase the likelihood of subdued inflation over the
long term.



Our investment decisions continued to emphasize protection of principal and a
relatively high level of income.



3
<PAGE>
 
Barring a surge in prepayments because of significantly lower rates, which we do
not expect, GNMA securities and your fund should continue to provide attractive
returns in this type of environment.

Thank you for investing with T. Rowe Price.



Respectfully submitted,



/s/ Peter Van Dyke
Peter Van Dyke
President and Chairman of the Investment Advisory Committee

December 20, 1996


4
<PAGE>
 
T. Rowe Price GNMA Fund
- --------------------------------------------------------------------------------

Portfolio Highlights
- --------------------------------------------------------------------------------

<TABLE> 
<CAPTION> 
 
Key statistics

                                                      5/31/96        11/30/96
- --------------------------------------------------------------------------------
<S>                                                   <C>             <C> 
Price Per Share                                       $ 9.19          $ 9.52
 ................................................................................

Dividends Per Share
 ................................................................................
    For 6 months                                        0.33            0.32
 ................................................................................
    For 12 months                                       0.67            0.66
 ................................................................................

Dividend Yield *
 ................................................................................
    For 6 months                                       7.04%            7.05%
 ................................................................................
    For 12 months                                      7.26             7.17
 ................................................................................

Weighted Average Maturity (years) **                    7.9              9.3
 ................................................................................
Weighted Average Effective Duration (years)             5.4              5.0
 ................................................................................
Weighted Average Quality ***                            AAA              AAA
 ................................................................................
</TABLE> 
*    Dividends earned and reinvested for the periods indicated are annualized
     and divided by the average daily net asset values per share for the same
     period.
**   Based on prepayment-adjusted life of GNMA securities.
***  Based on T. Rowe Price research.


SECTOR DIVERSIFICATION

<TABLE> 
<CAPTION> 
                                                Percent of              Percent of
                                                Net Assets              Net Assets
                                                 5/31/96                 11/30/96
- ------------------------------------------------------------------------------------
<S>                                               <C>                       <C> 
GNMA Securities                                   103%                      104%
 ....................................................................................
U.S. Treasury Obligations                           6                         5
 ....................................................................................
Other Government Agency Securities                  1                         1
 ....................................................................................
Other Assets Less Liabilities                     -10                       -10
- ------------------------------------------------------------------------------------
Total                                             100%                      100%
</TABLE>


5
<PAGE>
 
T. Rowe Price GNMA Fund
- --------------------------------------------------------------------------------



Performance Comparison
- --------------------------------------------------------------------------------

This chart shows the value of a hypothetical $10,000 investment in the fund over
the past 10 fiscal year periods or since inception (for funds lacking 10-year
records). The result is compared with a broad-based average or index. The index
return does not reflect expenses, which have been deducted from the fund's
return.

                       [GRAPH OF GNMA FUND APPEARS HERE]


       Salomon GNMA Index      Lipper GNMA Funds Average       GNMA Funds
11/86        10,000                     10,000                     10,000
11/87        10,288                     10,119                     10,070
11/88        11,390                     11,031                     10,803
11/89        13,011                     12,402                     12,166
11/90        14,282                     13,440                     13,252
11/91        16,417                     15,255                     15,044
11/92        17,900                     16,473                     16,267
11/93        19,175                     17,587                     17,396
11/94        18,865                     17,123                     17,002
11/95        22,010                     19,855                     19,974
11/96        23,646                     21,114                     21,127


Average Annual Compound Total Return
- --------------------------------------------------------------------------------

This table shows how the fund would have performed each year if its actual (or
cumulative) returns for the periods shown had been earned at a constant rate.


Periods Ended 11/30/96            1 Year      3 Years     5 Years     10 Years
- --------------------------------------------------------------------------------
GNMA Fund                          5.77%       6.69%       7.03%        7.77%
 ................................................................................

Investment return and principal value represent past performance and will vary.
Shares may be worth more or less at redemption than at original purchase.



      6
<PAGE>
 
T. Rowe Price GNMA Fund
- --------------------------------------------------------------------------------
Unaudited                                                      November 30, 1996


Financial Highlights              For a share outstanding throughout each period
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
 
                                    6 Months           Year                  3 Months++          Year
                                       Ended          Ended                       Ended         Ended
                                    11/30/96        5/31/96       5/31/95       5/31/94       2/28/94       2/28/93       2/29/92
<S>                                <C>           <C>            <C>           <C>           <C>           <C>           <C>
NET ASSET VALUE
Beginning of period                 $   9.19       $   9.51      $   9.14      $   9.60      $   9.92      $   9.79      $   9.47
                          ........................................................................................................
Investment activities
  Net investment income                 0.32           0.67          0.68          0.17          0.68          0.75          0.80
  Net realized and
  unrealized gain (loss)                0.33          (0.32)         0.37         (0.46)        (0.32)         0.13          0.32
                          ........................................................................................................
  Total from
  investment activities                 0.65           0.35          1.05         (0.29)         0.36          0.88          1.12
                          ........................................................................................................
Distributions
  Net investment income                (0.32)         (0.67)        (0.66)        (0.17)        (0.68)        (0.75)        (0.80)
  Tax return of capital                    -              -         (0.02)            -             -             -             -
                          ........................................................................................................
  Total distributions                  (0.32)         (0.67)        (0.68)        (0.17)        (0.68)        (0.75)        (0.80)
                          ........................................................................................................
NET ASSET VALUE
End of period                       $   9.52       $   9.19      $   9.51      $   9.14      $   9.60      $   9.92      $   9.79
                          ========================================================================================================

Ratios/Supplemental Data
Total return                            7.22%          3.72%        12.11%       (3.03)%         3.71%         9.36%        12.28%
 .................................................................................................................................. 
Ratio of expenses to
average net assets                      0.75%+         0.74%         0.76%         0.76%+        0.77%         0.79%         0.86%
 .................................................................................................................................. 
Ratio of net investment
income to average
net assets                              6.95%+         7.04%         7.50%         7.24%+        6.93%         7.65%         8.25%
 .................................................................................................................................. 
Portfolio turnover rate                133.2%+        113.6%        121.3%        151.8%+        92.5%         94.2%         66.0%
 .................................................................................................................................. 
Net assets, end of period
(in thousands)                      $941,505       $903,796      $810,467      $802,304      $883,391      $913,722      $715,249
 .................................................................................................................................. 
</TABLE>

+   Annualized.
++  The fund's fiscal year-end was changed to May 31.


The accompanying notes are an integral part of these financial statements.

           7
<PAGE>
 
T. Rowe Price GNMA Fund
- --------------------------------------------------------------------------------
Unaudited                                                      November 30, 1996


Statement of Net Assets                                      Par       Value
- --------------------------------------------------------------------------------
                                                               In thousands

<TABLE>
<CAPTION>
 
 
U.S. GOVERNMENT MORTGAGE-BACKED SECURITIES  104.4%

  U.S. Government Guaranteed Obligations  104.4%
  Federal Housing Authority, PLC, 9.95%, 10/1/32        $  4,966    $  5,227
  Government National Mortgage Assn.
     I
<S>                                                     <C>         <C>   
         6.00%, 12/15/23 - 6/15/26                        56,525      53,871
         ..................................................................... 
         6.50%, 6/15/23 - 5/15/26                         46,370      45,398
         ..................................................................... 
         7.00%, 4/15/17 - 3/15/26                        121,942     121,751
         ..................................................................... 
         7.50%, 3/15/07 - 3/15/26                         99,149     101,341
         .....................................................................  
         8.00%, 3/15/14 - 9/15/25                        175,215     182,483
         .....................................................................  
         8.50%, 12/15/04 - 6/15/26                        46,732      49,456
         .....................................................................  
         9.00%, 4/15/16 - 9/15/24                         67,039      72,131
         .....................................................................  
         9.50%, 6/15/09 - 5/15/25                         20,993      22,825
         .....................................................................  
         10.00%, 10/15/15 - 7/15/24                        9,537      10,519
         .....................................................................  
         10.50%, 1/15/13 - 11/15/21                        5,090       5,663
         .....................................................................  
         11.00%, 2/15/10 - 6/15/19                         1,127       1,275
         .....................................................................  
         11.50%, 4/15/10 - 7/15/20                         4,611       5,311
         .....................................................................  
         12.00%, 5/15/11 - 10/15/15                        6,147       7,214
         .....................................................................  
         12.50%, 4/15/10 - 7/15/15                         2,317       2,753
         .....................................................................  
         13.00%, 1/15/11 - 8/15/15                         1,090       1,307
         .....................................................................  
         13.50%, 5/15/10 - 1/15/15                         1,602       1,947

     II

         6.50%, 3/20/26                                    8,877       8,602
         .....................................................................  
         8.00%, 10/20/24 - 9/20/26                        21,471      22,061
         .....................................................................  
         8.50%, 4/20/16 - 2/20/23                         23,384      24,315
         .....................................................................  
         10.00%, 9/20/16 - 5/20/25                         2,376       2,591
         .....................................................................  
         11.00%, 2/20/14 - 9/20/20                         2,238       2,552
         .....................................................................  
         11.50%, 12/20/13 - 7/20/20                        1,630       1,886
         .....................................................................  
         12.50%, 10/20/13 - 1/20/16                          219         258
         .....................................................................  
         13.00%, 10/20/13 - 9/20/15                          837         999

     GPM, I                           

         8.75%, 6/15/17 - 6/15/22                          1,127       1,202
         .....................................................................  
         9.00%, 5/15/09 - 3/15/14                            439         469
         .....................................................................  
         9.25%, 5/15/16 - 8/15/21                          5,827       6,236
         .....................................................................  
         9.50%, 6/15/09 - 11/15/09                         2,483       2,705
         .....................................................................  
         9.75%, 4/15/16 - 8/15/21                          6,719       7,318
         .....................................................................  
         10.75%, 2/15/16 - 4/15/19                         1,457       1,648
         .....................................................................  
</TABLE>

         8
<PAGE>
 
T. Rowe Price GNMA Fund
- --------------------------------------------------------------------------------

<TABLE> 
<CAPTION> 

                                                                          Par        Value
- --------------------------------------------------------------------------------------------
                                                                            In thousands
  <S>                                                                <C>          <C>
  11.00%, 8/15/10 - 9/15/10                                          $    383     $    436
  ..........................................................................................
  12.00%, 10/15/10 - 2/15/13                                              456          535
  ..........................................................................................
  12.25%, 9/15/13 - 3/15/15                                               231          272
  ..........................................................................................
  12.50%, 4/15/10 - 10/15/12                                              570          672
  ..........................................................................................
  12.75%, 10/15/13 - 5/15/15                                              359          427
  ..........................................................................................
GPM, II
  9.75%, 12/20/20 - 7/20/21                                               368          398
  ..........................................................................................
  10.25%, 3/20/16 - 9/20/16                                                41           46
  ..........................................................................................
  11.00%, 9/20/13 - 1/20/14                                               137          155
  ..........................................................................................
  12.25%, 1/20/14 - 12/20/15                                              314          367
  ..........................................................................................
  12.75%, 10/20/13 - 7/20/15                                              266          315
  ..........................................................................................
Project Loan, I
  8.00%, 11/15/12                                                         480          493
  ..........................................................................................
  8.50%, 1/15/27                                                          395          413
  ..........................................................................................
  9.25%, 10/15/23 - 1/15/36                                            13,939       14,691
  ..........................................................................................
  10.75%, 3/15/26                                                       6,125        6,810
  ..........................................................................................
REMIC
  6.50%, 10/16/24                                                      33,000       30,515
  ..........................................................................................
  7.493%, 7/16/24                                                      13,450       13,942
  ..........................................................................................
  7.50%, 5/16/23                                                       25,444       26,048
  ..........................................................................................
  Interest Only, 8.00%, 6/16/23 **                                     11,972        1,746
  ..........................................................................................
TBA, I
  6.00%, 9/15/23                                                       10,000        9,500
  ..........................................................................................
  6.50%, 1/15/24                                                       40,000       38,912
  ..........................................................................................
  7.00%, 7/15/20                                                       30,000       29,844
  ..........................................................................................
  8.00%, 7/15/20                                                       10,000       10,315
  ..........................................................................................
  8.50%, 7/15/20                                                       17,000       17,772
  ..........................................................................................
U. S. Department of Veteran Affairs, REMIC, 9.54%, 3/15/25              4,266        4,744
 ............................................................................................
Total U.S. Government Mortgage-Backed Securities (Cost $952,140)                   982,682
                                                                                 ...........

U.S. GOVERNMENT OBLIGATIONS  5.4%

U.S. Treasury Obligations  5.4%
U.S. Treasury Bonds
  6.50%, 11/15/26                                                      26,000       26,475
  ..........................................................................................
  6.75%, 8/15/26                                                       23,200       24,201
  ..........................................................................................
Total U.S. Government Obligations (Cost $ 49,410)                                   50,676
                                                                                 ...........

</TABLE>

9
<PAGE>
 
T. Rowe Price GNMA Fund
- --------------------------------------------------------------------------------

<TABLE> 
<CAPTION>

                                                                            Par          Value
- --------------------------------------------------------------------------------------------------
                                                                                  In thousands
  
<S>                                                                     <C>         <C> 
    REPURCHASE AGREEMENTS  0.4%

    Investments in Repurchase Agreements through a joint account,
            5.51%, 12/2/96                                              $   3,989   $     3,989     
    ..............................................................................................
    Total Repurchase Agreements (Cost $3,989)                                             3,989
                                                                                    ..............

Total Investments in Securities
110.2% of Net Assets (Cost $1,005,539)                                              $ 1,037,347

Other Assets Less Liabilities                                                           (95,842)
                                                                                    ..............

NET ASSETS                                                                          $   941,505   

Net Assets Consist of:
Accumulated net investment income - net of distributions                            $    (5,340)  
Accumulated net realized gain/loss - net of distributions                               (28,577)
Net unrealized gain (loss)                                                               31,808
Paid-in-capital applicable to 98,927,914 no par value shares of
beneficial interest outstanding; unlimited number of shares authorized                  943,614
                                                                                    ..............

NET ASSETS                                                                          $   941,505  

NET ASSET VALUE PER SHARE                                                           $      9.52

</TABLE>

     **  For Interest Only securities, par represents notional principal, on
         which the fund receives interest
    GPM  Graduated Payment Mortgage
    PLC  Permanent Loan Certificate
  REMIC  Real Estate Mortgage Investment Conduit
    TBA  To be announced security was purchased on a forward commitment basis;
         the aggregate liability for securities purchased under such agreements
         totaled $105,908,000 at 11/30/96.


The accompanying notes are an integral part of these financial statements.

10
<PAGE>
 
T. Rowe Price GNMA Fund
- --------------------------------------------------------------------------------
Unaudited


Statement Of Operations
- --------------------------------------------------------------------------------
In thousands
 
<TABLE> 
<CAPTION> 
 
                                                                     6 Months
                                                                        Ended
                                                                     11/30/96
<S>                                                              <C> 
  Investment Income
  Interest income                                                $     35,214
                                                                 ..............
  Expenses
    Investment management                                               2,190
    Shareholder servicing                                                 914
    Custody and accounting                                                251
    Prospectus and shareholder reports                                     39
    Registration                                                           28
    Legal and audit                                                        14
    Trustees                                                                6
    Miscellaneous                                                           7
                                                                 ..............
    Total expenses                                                      3,449
                                                                 ..............
  Net investment income                                                31,765
                                                                 ..............
  Realized and Unrealized Gain (Loss)
  Net realized gain (loss) on securities                               (1,838)
  Change in net unrealized gain or loss on securities                  33,832
                                                                 ..............
  Net realized and unrealized gain (loss)                              31,994
                                                                 ..............
  INCREASE (DECREASE) IN NET                           
  ASSETS FROM OPERATIONS                                         $     63,759
                                                                 --------------
</TABLE>

  The accompanying notes are an integral part of these financial statements.

11
<PAGE>
 
T. Rowe Price GNMA Fund
- -------------------------------------------------------------------------------
Unaudited


Statement Of Changes In Net Assets
- -------------------------------------------------------------------------------
In thousands

<TABLE>
<CAPTION>
 
 
                                                                6 Months          Year
                                                                  Ended           Ended
                                                                11/30/96         5/31/96
<S>                                                          <C>             <C>  
  Increase (Decrease) in Net Assets
  Operations
    Net investment income                                     $   31,765     $    61,167
    Net realized gain (loss)                                      (1,838)         (5,065)
    Change in net unrealized gain or loss                         33,832         (27,261)
                                                              --------------------------
    Increase (decrease) in net assets from operations             63,759          28,841
                                                              --------------------------
  Distributions to shareholders
    Net investment income                                        (31,765)        (61,156)
  Capital share transactions*
    Shares sold                                                   65,623         245,262
    Distributions reinvested                                      17,662          43,549
    Shares redeemed                                              (77,570)       (163,167)
                                                              --------------------------
    Increase (decrease) in net assets from capital
    share transactions                                             5,715         125,644
                                                              --------------------------
  Net Assets
  Increase (decrease) during period                               37,709          93,329
  Beginning of period                                            903,796         810,467
                                                              --------------------------
  End of period                                                 $941,505       $ 903,796
                                                              --------------------------
* Share information
    Shares sold                                                    7,065          25,637
    Distributions reinvested                                       1,898           4,578
    Shares redeemed                                               (8,359)        (17,153)
                                                              --------------------------  
    Increase (decrease) in shares outstanding                        604          13,062
 
</TABLE>


  The accompanying notes are an integral part of these financial statements.




12
<PAGE>
 
T. Rowe Price GNMA Fund
- -------------------------------------------------------------------------------
Unaudited                                                     November 30, 1996


Notes to Financial Statements
- -------------------------------------------------------------------------------

NOTE 1 - SIGNIFICANT ACCOUNTING POLICIES

  T. Rowe Price GNMA Fund (the fund) is registered under the Investment Company
  Act of 1940 as a diversified, open-end management investment company and
  commenced operations on November 26, 1985.

  Valuation  Debt securities are generally traded in the over-the-counter
  market.  Investments in securities originally issued with maturities of one
  year or more are stated at fair value as furnished by dealers who make markets
  in such securities or by an independent pricing service, which considers yield
  or price of bonds of comparable quality, coupon, maturity, and type, as well
  as prices quoted by dealers who make markets in such securities.  Securities
  with original maturities of less than one year are stated at fair value, which
  is determined by using a matrix system that establishes a value for each
  security based on money market yields.

  Assets and liabilities for which the above valuation procedures are
  inappropriate or are deemed not to reflect fair value are stated at fair value
  as determined in good faith by or under the supervision of the officers of the
  fund, as authorized by the Board of Trustees.

  Premiums and Discounts  Premiums and discounts on mortgage-backed securities
  are recognized upon principal repayment as gain or loss for financial
  reporting purposes and as ordinary income for tax purposes.  Premiums and
  discounts on debt securities, other than mortgage-backed securities, are
  amortized for both financial reporting and tax purposes.

  Other Income and expenses are recorded on the accrual basis.  Investment
  transactions are accounted for on the trade date.  Realized gains and losses
  are reported on the identified cost basis.  Distributions to shareholders are
  recorded by the fund on the ex-dividend date.  Income and capital gain
  distributions are determined in accordance with federal income tax regulations
  and may differ from those determined in accordance with generally accepted
  accounting principles.

NOTE 2 - INVESTMENT TRANSACTIONS

  Consistent with its investment objective, the fund engages in the following
  practices to manage exposure to certain risks or enhance performance.  The
  investment objective, policies, program, and risk factors of the fund are
  described more fully in the fund's prospectus and Statement of Additional
  Information.


13
<PAGE>
 
T. Rowe Price GNMA Fund
- -------------------------------------------------------------------------------


  Repurchase Agreements  The fund, and other affiliated funds, may transfer
  uninvested cash into a joint account, the daily aggregate balance of which is
  invested in one or more overnight repurchase agreements collaterallized by
  U.S. government securities.  Collateral is in the possession of the fund's
  custodian and is evaluated daily by the fund to ensure that its market value
  exceeds the delivery value of the repurchase agreements at maturity.  All
  repurchase agreements purchased by the joint account satisfy the fund's
  criteria as to quality, yield, and liquidity.

  Securities Lending  To earn additional income, the fund lends its securities
  to approved brokers.  At November 30, 1996, the market value of securities on
  loan was $49,633,000, which was fully collateralized with cash.  Although the
  risk is mitigated by the collateral, the fund could experience a delay in
  recovering its securities and a possible loss of income or value if the
  borrower fails to return them.

  Other  Purchases and sales of U.S. government securities aggregated
  $685,280,000 and $642,188,000, respectively, for the six months ended November
  30, 1996.

NOTE 3 - FEDERAL INCOME TAXES

  No provision for federal income taxes is required since the fund intends to
  continue to qualify as a regulated investment company and distribute all of
  its taxable income.  The fund has unused realized capital loss carryforwards
  for federal income tax purposes of $18,542,000, of which $1,432,000 expires in
  1997, $1,304,000 in 1998, and $15,806,000 thereafter through 2003.  The fund
  intends to retain gains realized in future periods that may be offset by
  available capital loss carryforwards.

  At November 30, 1996, the aggregate cost of investments for federal income tax
  and financial reporting purposes was $1,005,539,000, and net unrealized gain
  aggregated $31,808,000, of which $35,061,000 related to appreciated
  investments and $3,253,000 to depreciated investments.

NOTE 4 - RELATED PARTY TRANSACTIONS

  The investment management agreement between the fund and T. Rowe Price
  Associates, Inc. (the manager) provides for an annual investment management
  fee, of which $366,000 was payable at November 30, 1996.  The fee is computed

     14

<PAGE>
 
T. Rowe Price GNMA Fund
- -------------------------------------------------------------------------------


  daily and paid monthly, and consists of an individual fund fee equal to 0.15%
  of average daily net assets and a group fee.  The group fee is based on the
  combined assets of certain mutual funds sponsored by the manager or Rowe
  Price-Fleming International, Inc. (the group).  The group fee rate ranges from
  0.48% for the first $1 billion of assets to 0.305% for assets in excess of $50
  billion.  At November 30, 1996, and for the six months then ended, the
  effective annual group fee rate was 0.33%.  The fund pays a pro-rata share of
  the group fee based on the ratio of its net assets to those of the group.

  In addition, the fund has entered into agreements with the manager and two
  wholly owned subsidiaries of the manager, pursuant to which the fund receives
  certain other services.  The manager computes the daily share price and
  maintains the financial records of the fund.  T. Rowe Price Services, Inc.
  (TRPS) is the fund's transfer and dividend disbursing agent and provides
  shareholder and administrative services to the fund.  T. Rowe Price Retirement
  Plan Services, Inc., provides subaccounting and recordkeeping services for
  certain retirement accounts invested in the fund.  Additionally, the fund is
  one of several T. Rowe Price mutual funds (the underlying funds) in which the
  T. Rowe Price Spectrum Income Fund (Spectrum) invests.  In accordance with an
  agreement among Spectrum, the underlying funds, the manager, and TRPS,
  expenses from the operation of Spectrum are borne by the underlying funds
  based on each underlying fund's proportionate share of assets owned by
  Spectrum.  The fund incurred expenses pursuant to these related party
  agreements totaling approximately $835,000 for the six months ended November
  30, 1996, of which $152,000 was payable at period-end.


     15
<PAGE>
 
T. Rowe Price GNMA Fund
- -------------------------------------------------------------------------------

           Investment Services And Information
 
       KNOWLEDGEABLE SERVICE REPRESENTATIVES
             
       By Phone 1-800-225-5132  Available Monday through Friday from
       8 a.m. to 10 p.m. ET and weekends from 8:30 a.m. to 5 p.m. ET.

       In Person  Available in T. Rowe Price Investor Centers.

       ACCOUNT SERVICES

       Checking  Available on most fixed income funds.

       Automatic Investing  From your bank account or paycheck.

       Automatic Withdrawal  Scheduled, automatic redemptions.

       Distribution Options  Reinvest all, some, or none of your distributions.

       Automated 24-Hour Services  Including Tele*Access(R) and
       T. Rowe Price OnLine.

       DISCOUNT BROKERAGE*

       Individual Investments  Stocks, bonds, options, precious metals,
       and other securities at a savings over regular commission rates.

       INVESTMENT INFORMATION

       Combined Statement  Overview of your T. Rowe Price accounts.

       Shareholder Reports Fund managers' reviews of their strategies and
       results.
       
       The T. Rowe Price Report  Quarterly investment newsletter discussing
       markets and financial strategies.

       Performance Update  Quarterly review of all T. Rowe Price fund results.

       Insights Educational reports on investment strategies and financial
       markets.

       Investment Guides  Asset Mix Worksheet, College Planning Kit, Personal
       Strategy Planner, Retirees Financial Guide, and Retirement Planning Kit.


       *A division of T. Rowe Price Investment Services, Inc. Member NASD/SIPC.

          16
<PAGE>
 
  T. Rowe Price GNMA Fund
  -----------------------------------------------------------------------------

<TABLE> 
<CAPTION> 
  Mutual Funds

  STOCK FUNDS                     BOND FUNDS                          
  ............................    ..............................     ................................
  <S>                             <C>                                <C> 
  Domestic                        Domestic Taxable                   International/Global                
  Balanced                        Corporate Income                   Global Government Bond              
  Blue Chip Growth                GNMA                               Emerging Markets Bond               
  Capital Appreciation            High Yield                         International Bond                  
  Capital Opportunity             New Income                                                               
  Dividend Growth                 Short-Term Bond                    MONEY MARKET                          
  Equity Income                   Short-Term U.S. Government         ................................ 
  Equity Index                    Spectrum Income                    Taxable                                
  Financial Services              Summit GNMA                        Prime Reserve                          
  Growth & Income                 Summit Limited-Term Bond           Summit Cash Reserves                   
  Growth Stock                    U.S. Treasury Intermediate         U.S. Treasury Money                    
  Health Sciences                 U.S. Treasury Long-Term                                                    
  Mid-Cap Growth                                                     Tax-Free                                
  Mid-Cap Value                   Domestic Tax-free                  California Tax-Free Money               
  New America Growth              California Tax-Free Bond           New York Tax-Free Money                 
  New Era                         Florida Insured                    Summit Municipal                        
  New Horizons                    Intermediate Tax-Free              Money Market                            
  OTC                             Georgia Tax-Free Bond              Tax-Exempt Money                        
  Science & Technology            Maryland Short-Term                                                         
  Small-Cap Value                 Tax-Free Bond                      BLENDED ASSET                            
  Spectrum Growth                 Maryland Tax-Free Bond             ................................ 
  Value                           New Jersey Tax-Free Bond           Personal Strategy Income                  
                                  New York Tax-Free Bond             Personal Strategy Balanced                
  International/Global            Summit Municipal Income            Personal Strategy Growth                  
  Emerging Markets Stock          Summit Municipal Intermediate                                                 
  European Stock                  Tax-Free High Yield                T. ROWE PRICE NO-LOAD                      
  Global Stock                    Tax-Free Income                    VARIABLE ANNUITY                           
  International Discovery         Tax-Free Insured                   ................................
  International Stock             Intermediate Bond                  Equity Income Portfolio                     
  Japan                           Tax-Free Short-Intermediate        International Stock Portfolio               
  Latin America                   Virginia Short-Term                Limited-Term Bond Portfolio                 
  New Asia                        Tax-Free Bond                      New America Growth Portfolio                
  Spectrum International          Virginia Tax-Free Bond             Personal Strategy Balanced Portfolio        

</TABLE> 
     17
  
<PAGE>
 
  For yield, price, last transaction,
  current balance or to conduct
  transactions, 24 hours, 7 days
  a week, call Tele*Access(R):
  1-800-638-2587 toll free

  For assistance
  with your existing
  fund account, call:
  Shareholder Service Center
  1-800-225-5132 toll free
  625-6500 Baltimore area

  To open a Discount Brokerage
  account or obtain information,
  call:   1-800-638-5660 toll free

  Internet address:
  http://www.troweprice.com

  T. Rowe Price Associates
  100 East Pratt Street
  Baltimore, Maryland  21202

  This report is authorized for
  distribution only to shareholders
  and to others who have received
  a copy of the prospectus of the
  T. Rowe Price GNMA Fund.

  [LOGO OF T. ROWE PRICE APPEARS HERE]

  T. Rowe Price Investment Services, Inc., Distributor  RPRTGNMA  11/30/96


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