UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549


                                   FORM N-CSR

                   CERTIFIED SHAREHOLDER REPORT OF REGISTERED
                         MANAGEMENT INVESTMENT COMPANIES

Investment Company Act file number 811-21102

                THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
               (Exact name of registrant as specified in charter)

                   ONE LIBERTY PLAZA, 165 BROADWAY, 36TH FLOOR
                          NEW YORK, NEW YORK 10006-1404
               (Address of principal executive offices) (Zip code)

                           CLIFFORD E. LAI, PRESIDENT
                THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
                   ONE LIBERTY PLAZA, 165 BROADWAY, 36TH FLOOR
                         NEW YORK, NEW YORK, 10006-1404
                     (Name and address of agent for service)

Registrant's telephone number, including area code:    1 (800) Hyperion


Date of fiscal year end: November 30



Date of reporting period:  May 31, 2004







Item 1. Reports to Shareholders.


                                [GRAPHIC OMITTED]


                                  May 31, 2004


                                                              [GRAPHIC OMITTED]














-------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Report of the Investment Advisor
For the Six Months Ended May 31, 2004
-------------------------------------------------------------------------------

Dear Shareholder:

We welcome this opportunity to provide you with  information  about The Hyperion
Strategic  Mortgage Income Fund, Inc. (the "Fund"),  for the semi-annual  period
ended May 31, 2004.  The Fund is a closed-end  bond fund whose shares are traded
on the New York Stock Exchange ("NYSE") under the symbol "HSM."

Description of the Fund

The Fund is a diversified  closed-end  management investment company. The Fund's
primary  investment  objective  is to provide a high level of current  income by
investing  primarily  in  mortgage-backed  securities  that offer an  attractive
combination  of  credit  quality,  yield  and  maturity.  The  Fund's  secondary
investment  objective is to provide  capital  appreciation.  Under normal market
conditions,  the  Fund  will  invest  at  least  80%  of  its  total  assets  in
investment-grade   Mortgage-Backed  Securities  ("MBS")  including  Agency  MBS,
Non-Agency  Residential  MBS  ("RMBS"),  Asset-Backed  Securities  ("ABS"),  and
Commercial  MBS  ("CMBS"),  and may invest up to 20% of its total assets in U.S.
Government securities, cash or other short-term instruments.

Performance

With the Federal Reserve  Board's recent  decisive  change in posture  regarding
interest rates, the market prices of most fixed income bond funds dropped.  Over
the past six months,  despite  keeping  the  duration  of the  portfolio  at the
shorter end of its target, the Fund's return, based on market price, was (5.25)%
for the six-month period ended May 31, 2004. The Fund's negative  return,  based
on market price, resulted from the elimination of the premium between the market
price of the Fund's  shares and the shares'  net asset value and the  subsequent
opening of a discount  between the shares' market price and net asset value.  At
the beginning of the period,  the Fund's shares traded at a premium of 1.8% over
net asset  value and at the end of the  period  the  Fund's  shares  traded at a
discount  of 7.3%  below net asset  value.  Based on the NYSE  closing  price of
$13.28 on May 31, 2004, the Fund had a yield of 9.76%.

As of May 31, 2004, the Fund,  inclusive of the effect of leverage,  was managed
with an average duration (duration measures a bond portfolio's price sensitivity
to interest rate changes) of 3.9 years, as measured on a net asset basis.

Market Environment

The economy is clearly  performing  well, such that the market's  consensus view
has changed and most  economists  believe  that the Federal  Reserve  Board will
raise  interest  rates  several  times in 2004 in 25 or 50 bps  increments.  The
catalyst for this change in monetary  policy has been the strong  rebound in the
employment reports,  which shows the pace of job growth increasing over the last
several months.

Interestingly,  while the fixed income market is anticipating a 2.0% increase in
the federal funds rate within about a year, those same "forward" indicators view
the yield on the 10-year  Treasury as being only about 50 bps higher in the same
time frame.  So the  consensus in the market is that rates will be higher in the
future,  and that interest rates will rise more on shorter  maturity assets than
longer maturity assets. We are in agreement with both of these outlooks.

But while the outlook is for higher  interest  rates,  there are some  headwinds
that could slow and maybe even arrest the trend.  Higher oil  prices,  a slowing
Chinese  economy,  and the potential for domestic  terrorism could act to dampen
the pace of economic growth. Currently, we do not believe that these threats are
significant enough to deter rising interest rates.







-------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Report of the Investment Advisor
For the Six Months Ended May 31, 2004
-------------------------------------------------------------------------------

Portfolio Strategy

The yield  spreads  for  mortgage-related  issues  narrowed  during the  period,
particularly  in the ABS sector.  With the recent increase in interest rates, we
look for this trend to continue as the supply of ABS and MBS diminishes.

The Fund's allocation changed modestly over the period. On balance, the paydowns
were reinvested into RMBS and mortgage-related ABS, in such a way as to maintain
those  exposures  from an asset  allocation  point of view.  The CMBS  portfolio
declined  slightly,  mostly due to their market value changes as interest  rates
increased.  On a  relative-value  basis,  CMBS yield  spreads  relative to other
securities in the market appear overvalued;  therefore we are cautious in adding
to this sector.

The Fund continues to be managed very conservatively from a credit risk point of
view. The AAA-rated exposure increased from 51% to 54% of total assets, versus a
longer-term target of 40% of total assets. With the credit environment improving
along with the  strengthening  economy,  we expect to increase the allocation to
lower rated issues over the next few months.

We remain fully leveraged to take advantage of the steepness in the yield curve,
with much of the  leverage  being  offset by floating  rate  assets.  The Fund's
duration  has been running  between 3.5 to 4.0 years,  and we expect to maintain
this duration range until longer-term interest rates appear attractive.

Conclusion

We  remain  committed  to the  Fund and its  shareholders.  As  always,  we will
continue to actively seek out investment  opportunities in the market and act on
them in a timely  fashion in an effort to  achieve  the  Fund's  objectives.  We
welcome  your  questions  and  comments,   and  encourage  you  to  contact  our
Shareholder Services Representatives at 1-800-HYPERION.

We appreciate the opportunity to serve your investment needs.

Sincerely,


/s/ Clifford E. Lai


CLIFFORD E. LAI
President,
The Hyperion Strategic Mortgage Income Fund, Inc.
President and Chief Executive Officer,
Hyperion Capital Management, Inc.



/s/ John H. Dolan



JOHN H. DOLAN
Vice President,
The Hyperion Strategic Mortgage Income Fund, Inc.
Chief Investment Officer,
Hyperion Capital Management, Inc.






                                                                                                      
-----------------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Portfolio of Investments -- (Unaudited)
May 31, 2004                                                                                       Principal
                                                                           Interest                 Amount           Value
                                                                             Rate     Maturity      (000s)         (Note 2)
-----------------------------------------------------------------------------------------------------------------------------

U.S. GOVERNMENT & AGENCY OBLIGATIONS -- 59.1%
U.S. Government Agency Pass -Through Certificates -- 59.1%
  Federal Home Loan Mortgage Corporation
    Pool C68878.......................................................       7.00%    06/01/32 $      721#  $        759,302
    Pool C69047.......................................................       7.00     06/01/32      1,630          1,712,552
    Pool G01466.......................................................       9.50     12/01/22      2,274@         2,549,668
    Pool 555538.......................................................      10.00     03/01/21      1,998@         2,218,151
                                                                                                            ----------------
                                                                                                                   7,239,673
  Federal National Mortgage Association
    Pool 694391.......................................................       5.50     03/01/33      5,226@         5,184,591
    Pool 753914.......................................................       5.50     12/01/33     20,331@        20,171,077
    Pool 761836.......................................................       6.00     06/01/33      8,261@         8,404,890
    Pool 754355.......................................................       6.00     12/01/33     10,344@        10,521,545
    Pool 763643.......................................................       6.00     01/01/34      9,751@         9,918,738
    Pool 323982.......................................................       6.50     10/01/06        883            907,849
    Pool 641575.......................................................       7.00     04/01/32        781            823,117
    Pool 645399.......................................................       7.00     05/01/32      3,918@         4,119,453
    Pool 645466.......................................................       7.00     05/01/32      3,939@         4,141,701
    Pool 626299.......................................................       7.00     06/01/32      1,160          1,220,076
    Pool 635095.......................................................       7.00     06/01/32      1,587          1,668,429
    Pool 650131.......................................................       7.00     07/01/32      2,190          2,307,816
    Pool 636449.......................................................       8.50     04/01/32      6,455@         6,961,004
    Pool 458132.......................................................       9.71     03/15/31      2,000          2,262,188
                                                                                                            ----------------
                                                                                                                  78,612,474
                                                                                                            ----------------
Total U.S. Government Agency Pass -Through Certificates
         (Cost-- $86,446,356).........................................                                            85,852,147
                                                                                                            ----------------
Total U.S. Government & Agency Obligations
         (Cost-- $86,446,356).........................................                                            85,852,147
                                                                                                            ----------------

ASSET-BACKED SECURITIES -- 22.3%
Housing Related Asset-Backed Securities -- 22.3%
  Argent Securities, Inc.
    Series 2004-W3, Class M5*(a)......................................       3.40+    02/25/34      1,200            880,313
  Asset Backed Funding Corp.
    Series 2003-OPT1, Class M4(a).....................................       3.90+    07/25/32      3,000          3,083,793
  Equity One ABS, Inc.
    Series 2003-4, Class B2...........................................       5.85+    11/25/33      1,000          1,013,463
  First Franklin Mortgage Loan Asset Backed Certificates
    Series 2004-FFH2C, Class B1*(a)...................................       0.00+    06/25/34      1,250          1,044,727
    Series 2004-FF4, Class M2(a)......................................       2.35+    06/25/34      2,000          2,000,000
    Series 2003-FF4, Class M4(a)......................................       4.00+    10/25/33      3,000          3,097,947
    Series 2003-FF1, Class M4(a)......................................       4.10+    03/25/33      2,000          2,042,976
    Series 2003-FFH1, Class M4(a).....................................       4.60+    09/25/33      4,740          4,946,564
    Series 2004-FFH1, Class B*(a).....................................       4.60+    03/25/34      1,550          1,324,976
    Series 2004-FF2, Class B*(a)......................................       4.60+    03/25/34        900            786,112
                                                                                                            ----------------
                                                                                                                  15,243,302
  Green Tree Financial Corp.                                                                                ----------------
    Series 1997-6, Class B1...........................................       7.17     01/15/29      5,000          1,000,000
  Long Beach Mortgage Loan Trust
    Series 2002-5, Class M3(a)........................................       4.35+    11/25/32      2,500          2,549,345
    Series 2004-1, Class M9(a)........................................       4.60+    02/25/34      4,500          4,596,192
                                                                                                            ----------------
                                                                                                                   7,145,537
                                                                                                            ----------------
---------
See notes to financial statements.







                                                                                                     
---------------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Portfolio of Investments -- (Unaudited)
May 31, 2004                                                                                     Principal
                                                                           Interest               Amount           Value
                                                                             Rate     Maturity    (000s)         (Note 2)
-----------------------------------------------------------------------------------------------------------------------------
ASSET-BACKED SECURITIES (continued)
  Structured Asset Investment Loan Trust
    Series 2003-BC8, Class M2(a)........................................     2.85+%   08/25/33 $    3,000   $      3,048,198
    Series 2004-2, Class B*(a)..........................................     4.10+    03/25/34      1,074            923,713
                                                                                                            ----------------
                                                                                                                   3,971,911
Total Housing Related Asset-Backed Securities                                                               ----------------
         (Cost-- $32,041,251)...........................................                                          32,338,319
                                                                                                            ----------------
Total Asset-Backed Securities
         (Cost-- $32,041,251)...........................................                                          32,338,319
                                                                                                            ----------------

-----------------------------------------------------------------------------------------------------------------------------

COMMERCIAL MORTGAGE BACKED SECURITIES -- 26.7%
  Bear Stearns Commercial Mortgage Securities
    Series 1999-C1, Class G*.............................................    5.64     02/14/31      2,390          1,555,664
    Series 1999-C1, Class D..............................................    6.53     02/14/31      2,500          2,654,350
    Series 2000-WF1, Class E.............................................    8.14+    02/15/32      2,000          2,257,560
                                                                                                            ----------------
                                                                                                                   6,467,574
  GE Capital Commercial Mortgage Corp.                                                                      ----------------
    Series 2002-2A, Class G*.............................................    6.04     08/11/36      3,000          3,086,262
    Series 2000-1, Class G*..............................................    6.13     01/15/33      1,000            714,800
    Series 2002-2A, Class H*.............................................    6.31     08/11/36      2,000          2,042,780
    Series 2000-1, Class E...............................................    7.44+    01/15/33      1,000          1,060,260
                                                                                                            ----------------
                                                                                                                   6,904,102
  Government Lease Trust                                                                                    ----------------
    Series 1999-C1A, Class B3*...........................................    4.00     05/18/11      2,500          2,225,565
  JP Morgan Chase Commercial Mortgage Securities
    Series 2003-LN1, Class G*............................................    5.65+    10/15/37      1,600          1,559,045
  JP Morgan Commercial Mortgage Finance Corp.
    Series 1999-C7, Class F*.............................................    6.00     10/15/35      2,000          1,867,830
  Morgan Stanley Capital I
    Series 1999-WF1, Class E.............................................    7.19+    11/15/31      5,500          6,076,625
    Series 1999-FNV1, Class E............................................    7.71+    03/15/31      2,000          2,199,200
                                                                                                            ----------------
                                                                                                                   8,275,825
  Morgan Stanley Dean Witter Capital I                                                                      ----------------
    Series 2001-TOP1, Class A4...........................................    6.66     02/15/33      4,500          4,943,147
  Nationslink Funding Corp.
    Series 1998-2, Class E...............................................    7.11     08/20/30      4,000          4,354,588
  UBS 400 Atlantic Street Mortgage Trust
    Series 2002-C1A, Class B3*...........................................    7.19     01/11/22      2,000          2,164,620
                                                                                                            ----------------
Total Commercial Mortgage Backed Securities
         (Cost-- $38,769,806)............................................                                         38,762,296
                                                                                                            ----------------
NON-AGENCY RESIDENTIAL MORTGAGE BACKED SECURITIES-- 42.8%
Subordinated Collateralized Mortgage Obligations-- 42.8%
  ABN AMRO Mortgage Corp.
    Series 2002-7, Class B2..............................................    6.20+    09/25/32      1,058          1,072,050
  Banc of America Alternative Loan Trust
    Series 2004-3, Class 30B4............................................    5.50     04/25/34      1,015            783,819
    Series 2004-3, Class 30B5............................................    5.50     04/25/34        711            385,947
                                                                                                            ----------------
                                                                                                                   1,169,766
                                                                                                            ----------------
---------
See notes to financial statements.







                                                                                                    
-----------------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Portfolio of Investments -- (Unaudited)
May 31, 2004                                                                                    Principal
                                                                           Interest               Amount           Value
                                                                             Rate     Maturity    (000s)         (Note 2)
-----------------------------------------------------------------------------------------------------------------------------
NON-AGENCY RESIDENTIAL MORTGAGE BACKED SECURITIES (continued)
  Banc of America Mortgage Securities, Inc
    Series 2004-A, Class B4............................................      3.96+%   02/25/34 $    2,071   $      1,723,126
    Series 2002-H, Class B4............................................      4.70+    08/25/32        320            307,530
    Series 2002-H, Class B5............................................      4.70+    08/25/32        214            192,243
    Series 2002-H, Class B6............................................      4.70+    08/25/32        535            406,392
    Series 2002-I, Class B4............................................      4.74+    08/25/32        538            532,284
    Series 2002-10, Class 1B3..........................................      6.00     11/25/32      1,473          1,494,984
    Series 2002-8, Class 1B1...........................................      6.25     08/25/32      7,284          7,328,852
    Series 2002-8, Class 1B4*..........................................      6.25     08/25/32      1,079          1,072,316
    Series 2002-8, Class 1B5*..........................................      6.25     08/25/32        809            660,529
    Series 2002-8, Class 1B6*..........................................      6.25     08/25/32        810            485,844
    Series 2002-9, Class 1B3...........................................      6.25     10/25/32      1,766          1,785,325
    Series 2002-9, Class 1B4...........................................      6.25     10/25/32      1,178          1,145,741
                                                                                                            ----------------
                                                                                                                  17,135,166
  Banc of America Mortgage Securities, Inc.                                                                 ----------------
    Series 2003-10, Class 1B4..........................................      5.50     01/25/34        569            469,507
  Cendant Mortgage Corp.
    Series 2002-4, Class B1............................................      6.50     07/25/32      2,642          2,697,501
    Series 2002-4, Class B2............................................      6.50     07/25/32      1,057          1,050,242
    Series 2002-4, Class B3............................................      6.50     07/25/32        616            608,770
    Series 2002-4, Class B4............................................      6.50     07/25/32        352            332,495
    Series 2002-4, Class B5............................................      6.50     07/25/32        264            214,532
    Series 2002-4, Class B6*...........................................      6.50     07/25/32        352            211,371
                                                                                                            ----------------
                                                                                                                   5,114,911
  Citicorp Mortgage Securities, Inc.                                                                        ----------------
    Series 2002-8, Class B1............................................      6.07+    07/25/32      3,563          3,560,052
    Series 2002-8, Class B2............................................      6.07+    07/25/32      1,550          1,548,964
    Series 2002-8, Class B3............................................      6.07+    07/25/32        774            773,503
                                                                                                            ----------------
                                                                                                                   5,882,519
  G3 Mortgage Reinsurance Ltd.                                                                              ----------------
    Series 1, Class E*.................................................     21.10+    05/25/08      4,275          4,595,651
  Master Asset Securitization Trus
    Series 2002-3, Class B6............................................      6.25+    07/25/32        757            605,744
  Residential Finance Limited Partnership
    Series 2002-A, Class B5*...........................................      3.45+    10/10/34      1,963          1,991,676
    Series 2002-A, Class B7............................................      6.80+    10/10/34      1,976          2,015,655
                                                                                                            ----------------
                                                                                                                   4,007,331
  Residential Funding Mortgage Securities I, Inc.                                                           ----------------
    Series 2004-S1, Class B2...........................................      5.25     02/25/34        460            268,264
    Series 2003-S7, Class B3...........................................      5.50     05/25/33        326            202,562
    Series 2003-S7, Class B2...........................................      5.50     05/25/33        539            163,023
    Series 2002-S10, Class B1*.........................................      6.50     07/25/32        705            686,434
    Series 2002-S10, Class B2*.........................................      6.50     07/25/32        528            421,919
    Series 2002-S10, Class B3*.........................................      6.50     07/25/32        529            264,275
                                                                                                            ----------------
                                                                                                                   2,006,477
  Resix Finance Limited Credit-Linked Note                                                                  ----------------
    Series 2004-B, Class B8*...........................................      5.85+    02/10/36        816            816,000
    Series 2004-B, Class B9*...........................................      9.35+    02/10/36      1,250          1,250,000
    Series 2004-A, Class B10*..........................................     12.60+    02/10/36        499            510,930
                                                                                                            ----------------
                                                                                                                   2,576,930
                                                                                                            ----------------
---------
See notes to financial statements.







                                                                                                   
-----------------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Portfolio of Investments -- (Unaudited)
May 31, 2004                                                                                    Principal
                                                                           Interest               Amount           Value
                                                                             Rate     Maturity    (000s)         (Note 2)
-----------------------------------------------------------------------------------------------------------------------------
NON-AGENCY RESIDENTIAL MORTGAGE BACKED SECURITIES (continued)
Structured Asset Mortgage Investments, Inc.
    Series 2002-AR1, Class B4...........................................     4.29+%...03/25/32 $    1,097   $        998,593
  Washington Mutual Mortgage Securities Corp.
    Series 2002-AR12, Class B4..........................................     4.72+    10/25/32      1,397          1,333,308
    Series 2002-AR12, Class B5..........................................     4.72+    10/25/32      1,048            952,650
    Series 2002-AR12, Class B6..........................................     4.72+    10/25/32      1,748          1,188,589
    Series 2002-AR10, Class B4*.........................................     5.01+    10/25/32      1,662          1,598,409
    Series 2002-AR10, Class B5*.........................................     5.01+    10/25/32      1,246          1,142,103
    Series 2002-AR10, Class B6*.........................................     5.01+    10/25/32      2,080          1,414,415
    Series 2002-AR11, Class B5..........................................     5.16+    10/25/32        954            869,316
    Series 2002-AR11, Class B6..........................................     5.16+    10/25/32      1,590          1,049,950
                                                                                                            ----------------
                                                                                                                   9,548,740
                                                                                                            ----------------
  Wells Fargo Mortgage Backed Securities Trust
    Series 2002, Class B5...............................................     6.00     06/25/32        367            313,521
    Series 2002-15, Class B1............................................     6.50     08/25/32      5,112          5,127,887
    Series 2002-15, Class B4............................................     6.50     08/25/32        590            588,684
    Series 2002-15, Class B5............................................     6.50     08/25/32        786            783,603
    Series 2002-15, Class B6............................................     6.50     08/25/32        590            245,209
                                                                                                            ----------------
                                                                                                                   7,058,904
                                                                                                            ----------------
Total Subordinated Collateralized Mortgage Obligations
         (Cost-- $59,228,734)...........................................                                          62,242,289
                                                                                                            ----------------
Total Non-Agency Residential Mortgage Backed Securities
         (Cost-- $59,228,734)...........................................                                          62,242,289
                                                                                                            ----------------

-----------------------------------------------------------------------------------------------------------------------------

SHORT TERM INVESTMENTS -- 0.7%
Short Term Investments -- 0.7%
  Federal National Mortgage Association Discount Notes(b)
    (Cost-- $1,000,000)................................................      0.84     06/01/04      1,000          1,000,000
                                                                                                            ----------------
Total Investments -- 151.6%
         (Cost-- $217,486,147).........................................                                          220,195,051
Liabilities in Excess of Other Assets-- (51.6)%........................                                         (74,954,760)
                                                                                                             ----------------
NET ASSETS-- 100.0%....................................................                                          145,240,291
                                                                                                              ==============
SECURITIES SOLD SHORT
U.S. Government Agency Pass -Through Certificates
  Federal National Mortgage Association TBA
    (Proceeds-- $4,967,641)............................................      6.00          TBA      4,900   $      4,978,106
                                                                                                            ----------------

@       -- Portion or entire principal amount delivered as collateral for reverse repurchase agreements (Note 5).
+       -- Variable Rate Security: Interest rate is the rate in effect May 31, 2004.
*       -- Security exempt from registration under Rule 144A of the Securities Act of 1933. These securities may only
           be resold in transactions exempt from registration, normally to qualified institutional buyers.
#       -- Portion or entire principal amount is held as collateral for open futures contracts (Note 7).
(a)     -- Security is a "step up" bond where coupon increases or steps up at a predetermined date. At that date these
           coupons increase to LIBOR plus a predetermined margin.
(b)     -- Zero Coupon Note-- Interest rate represents current yield to maturity.
TBA     -- Settlement is on a delayed delivery or when-issued basis with a
           final maturity to be announced (TBA) in the future.


----------
See notes to financial statements.







                                                                                                       
------------------------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Statement of Assets and Liabilities -- (Unaudited)
May 31, 2004
------------------------------------------------------------------------------------------------------------------------------------


Assets:
  Investments in securities, at market (cost $217,486,147) (Note 2).............................   $    220,195,051
  Cash..........................................................................................            804,986
  Receivable for investments sold...............................................................          4,978,257
  Interest receivable...........................................................................          1,087,676
  Principal paydowns receivable.................................................................            275,922
  Unrealized appreciation on swap contracts (Note 7)............................................             42,138
  Receivable for variation margin...............................................................              5,250
  Prepaid expenses and other assets.............................................................             90,063
                                                                                                   ----------------
      Total assets..............................................................................        227,479,343
                                                                                                   ----------------
Liabilities:
  Reverse repurchase agreements (Note 5)........................................................         66,101,000
  Interest payable for reverse repurchase agreements (Note 5)...................................             24,733
  Payable for investments purchased.............................................................         10,921,071
  Securities sold short, at value (proceeds $4,967,641) (Note 2)................................          4,978,106
  Interest payable for securities sold short....................................................             10,617
  Investment advisory fee payable (Note 3)......................................................             78,945
  Administration fee payable (Note 3)...........................................................             24,290
  Directors' fees payable.......................................................................             11,300
  Accrued expenses and other liabilities........................................................             88,990
                                                                                                   ----------------
      Total liabilities.........................................................................         82,239,052
                                                                                                   ----------------
Net Assets (equivalent to $14.32 per share based on 10,142,600 shares issued and outstanding)...   $    145,240,291
                                                                                                   ================

Composition of Net Assets:
  Capital stock, at par value ($.01) (Note 6)...................................................   $        101,426
  Additional paid-in capital (Note 6)...........................................................        144,128,441
  Accumulated undistributed net investment income...............................................            799,405
  Accumulated net realized loss.................................................................         (2,596,938)
  Net unrealized appreciation...................................................................          2,807,957
                                                                                                   ----------------
  Net assets applicable to capital stock outstanding............................................   $    145,240,291
                                                                                                   ================



----------
See notes to financial statements.







                                                                                                     
------------------------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Statement of Operations -- (Unaudited)
For the Six Months Ended May 31, 2004
------------------------------------------------------------------------------------------------------------------------------------

Investment Income (Note 2):
  Interest........................................................................................   $   7,050,178
                                                                                                     -------------

Expenses:
  Investment advisory fee (Note 3)................................................................         480,214
  Administration fee (Note 3).....................................................................         147,758
  Insurance.......................................................................................          78,025
  Auditing and tax services.......................................................................          46,508
  Reports to shareholders.........................................................................          45,263
  Custodian.......................................................................................          38,292
  Directors' fees.................................................................................          29,738
  Legal...........................................................................................          21,733
  Registration fees...............................................................................          17,482
  Transfer agency.................................................................................          15,147
  Miscellaneous...................................................................................          11,999
                                                                                                     -------------
      Total operating expenses....................................................................         932,159
         Interest expense on reverse repurchase agreements (Note 5)...............................         317,736
                                                                                                     -------------
      Total expenses..............................................................................       1,249,895
                                                                                                     -------------
  Net investment income...........................................................................       5,800,283
                                                                                                     -------------

Realized and Unrealized Gain (Loss) on Investments (Notes 2 and 7):
Net realized gain (loss) on:
  Investment transactions.........................................................................         712,013
  Short sales.....................................................................................           5,219
  Futures transactions............................................................................         189,185
  Swap contracts (loss)...........................................................................        (471,777)
                                                                                                     -------------
Net realized gain on investment transactions, short sales, futures transactions
and swap contracts 434,640 Net change in unrealized appreciation/depreciation
on:
  Investments.....................................................................................        (910,489)
  Short sales.....................................................................................         (10,465)
  Futures.........................................................................................         145,549
  Swap contracts..................................................................................         152,630
                                                                                                     -------------
Net change in unrealized appreciation/depreciation on investments, short sales, futures and swap
..contracts........................................................................................        (622,775)
                                                                                                     -------------
Net realized and unrealized loss on investments, short sales, futures and swap contracts..........        (188,135)
                                                                                                     -------------
Net increase in net assets resulting from operations..............................................   $   5,612,148
                                                                                                     =============










----------
See notes to financial statements.






                                                                                               
---------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Statements of Changes in Net Assets
                                                                               For the Six Months
                                                                                      Ended           For the Year
                                                                                  May 31, 2004            Ended
                                                                                   (Unaudited)     November 30, 2003*
----------------------------------------------------------------------------------------------------------------------
Increase (Decrease) in Net Assets Resulting from
  Operations:
  Net investment income.......................................................   $     5,800,283    $    12,393,550
  Net realized gain(loss) on investment transactions, short sales, futures....           434,640             93,417
  Net change in unrealized appreciation/depreciation on investments, short....          (622,775)         3,869,837
                                                                                 ---------------    ---------------
  Net increase in net assets resulting from operations........................         5,612,148         16,356,804
                                                                                 ---------------    ---------------

Dividends to Shareholders (Note 2):
  Net investment income.......................................................       (6,571,961)       (13,140,962)
                                                                                 ---------------    ---------------

Capital Stock Transactions (Note 6):
  Net asset value of shares issued through dividend reinvestment (1,380 and....           20,259             42,722
                                                                                 ---------------    ---------------

  Net increase from capital stock transactions................................            20,259             42,722
                                                                                 ---------------    ---------------
      Total increase (decrease) in net assets.................................          (939,554)         3,258,564

Net Assets:
  Beginning of period.........................................................       146,179,845        142,921,281
                                                                                 ---------------    ---------------
  End of period (including undistributed net investment income of $799,405       $   145,240,291    $   146,179,845
                                                                                 ===============    ===============


----------

*   Certain amounts have been reclassified to conform to current year presentation. See Note 2-- Swap Agreements.














----------
See notes to financial statements.








                                                                                                     
------------------------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Statement of Cash Flows -- (Unaudited)
For the Six Months Ended May 31, 2004
------------------------------------------------------------------------------------------------------------------------------------

Increase (Decrease) in Cash:
Cash flows provided by (used for) operating activities:
  Interest received (including net accretion of $158,119)................................     $           6,263,671
  Interest expense paid..................................................................                  (295,076)
  Operating expenses paid................................................................                (1,041,492)
  Sales of short-term portfolio investments, net.........................................                   300,000
  Purchases of long-term portfolio investments...........................................              (132,713,396)
  Proceeds from disposition of long-term portfolio investments and principal paydowns....                76,825,831
  Proceeds from securities sold short....................................................                 4,983,476
  Net cash provided by futures transactions..............................................                   274,484
                                                                                              ---------------------
      Net cash used for operating activities.............................................               (45,402,502)
                                                                                              ---------------------
Cash flows provided by (used for) financing activities:
  Net cash provided by reverse repurchase agreements.....................................                52,613,000
  Cash dividends paid....................................................................                (6,551,702)
                                                                                              ---------------------
      Net cash provided by financing activities..........................................                46,061,298
                                                                                              ---------------------
Net increase in cash.....................................................................                   658,796
Cash at beginning of period..............................................................                   146,190
                                                                                              ---------------------
Cash at end of period....................................................................     $             804,986
                                                                                              =====================
Reconciliation of Net Increase in Net Assets Resulting from Operations to Net Cash
  Provided by Operating Activities:

Net increase in net assets resulting from operations.....................................     $           5,612,148
                                                                                              ---------------------
  Increase in investments, at cost.......................................................                (9,458,777)
  Net realized gain on investments.......................................................                   712,013
  Net accretion on investments...........................................................                  (158,119)
  Decrease in net unrealized appreciation/depreciation on investments and swaps..........                   768,324
  Increase in interest receivable........................................................                  (175,711)
  Increase in variation margin receivable................................................                   (60,250)
  Increase in other assets...............................................................                (5,117,183)
  Decrease in payables and other liabilities.............................................               (37,524,947)
                                                                                              ---------------------
      Total adjustments..................................................................               (51,014,650)
                                                                                              ---------------------
Net cash used for operating activities...................................................     $         (45,402,502)
                                                                                              =====================

Noncash financing activities not included herein consist of reinvestment of dividends and distributions of $20,259.







----------
See notes to financial statements.







                                                                                               
------------------------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Financial Highlights
                                                                       For the
                                                                     Six Months      For the Year    For the Period
                                                                        Ended            Ended           Ended
                                                                    May 31, 2004*    November 30,     November 30,
                                                                     (Unaudited)         2003*           2002*@
---------------------------------------------------------------------------------------------------------------------
Per Share Operating Performance:
Net asset value, beginning of period......................       $        14.41     $       14.10  $        14.25**
                                                                 --------------     -------------  --------------
Net investment income.....................................                 0.57              1.22            0.37
Net realized and unrealized gain (loss) on investments,
  short sales, futures transactions and swap contracts....                (0.01)             0.39           (0.17)
                                                                 --------------     -------------  --------------
Net increase in net asset value resulting from operations.                 0.56              1.61            0.20
                                                                 --------------     -------------  --------------
Dividends from net investment income......................                (0.65)            (1.30)          (0.32)
Offering costs charged to additional paid-in-capital......                  --                --            (0.03)
                                                                 -------------      ------------   --------------
Net asset value, end of period............................       $        14.32     $       14.41  $        14.10
                                                                 ==============     =============  ==============
Market price, end of period...............................       $      13.2800     $     14.6700  $      13.6800
                                                                 ==============     =============  ==============
Total Investment Return+..................................             (5.25)%(1)         17.55%         (6.66)%(1)
Ratios to Average Net Assets/Supplementary Data:
Net assets, end of period (000's).........................       $     145,240      $     146,180  $     142,921
Operating expenses........................................              1.26%(2)           1.28%          1.23%(2)
Interest expense..........................................              0.43%(2)           0.51%          0.99%(2)
  Total expenses..........................................              1.69%(2)           1.79%          2.22%(2)
Net expenses..............................................              1.69%(2)           1.79%          2.19%(2)
Net investment income.....................................              7.85%(2)           8.54%          7.48%(2)
Portfolio turnover rate...................................                38%(1)             78%            70%(1)
----------

+         Total investment return is calculated assuming a purchase of common stock at the current market price on the
          first day and a sale at the current market price on the last day of the period reported. For the period ended
          November 30, 2002, total investment return is based on a beginning period price of $15.00 (initial offering price).
          Total investment return for subsequent periods is computed based upon the New York Stock Exchange market price
          of the Fund's shares. Dividends and distributions, if any, are assumed for purposes of this calculation, to be
          reinvested at the prices obtained under the Fund's dividend reinvestment plan. Total investment return does not
          reflect brokerage commissions and is not annualized.
(1)       Not Annualized
(2)       Annualized
@         Commenced operations on July 26, 2002
*         As a result of recent  changes  in  generally  accepted  accounting  principles,  the Fund has  reclassified
          periodic  payments made under  interest rate swap  agreements,  previously  included  within net  investment
          income,  to components of realized and unrealized gain (loss) in the statement of operations.  The effect of
          this  reclassification  was to reduce the  interest  expense and total  expense  ratios and increase the net
          investment  income  ratio by 0.08% and increase  net  investment  income per share by $0.01 and decrease net
          realized and unrealized gains (losses) on investments,  short sales, futures transactions and swap contracts
          per share by $0.01 for the six months ended May 31, 2004. For consistency,  similar  reclassifications  have
          been made to prior year amounts,  resulting in a reduction to the interest  expense and total expense ratios
          and an increase to the net  investment  income ratio of 0.36% and an increase to net  investment  income per
          share and a decrease to net realized and unrealized  gains  (losses) on  investments,  short sales,  futures
          transactions  and swap contracts per share by $0.05 for the fiscal year ended November 30, 2003, a reduction
          to the interest expense,  total and net expense ratios and an increase to the net investment income ratio of
          0.10% and an  increase  to net  investment  income per share of $0.01 and a  decrease  to net  realized  and
          unrealized gains (losses) on investments,  short sales, futures transactions and swap contracts per share by
          $0.01 for the period ended November 30, 2002.
**        Initial public offering of $15.00 per share less underwriting discount of $0.75 per share.

----------
See notes to financial statements.



-------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Notes to Financial Statements -- (Unaudited)
May 31, 2004
-------------------------------------------------------------------------------

1.  The Fund

The Hyperion  Strategic  Mortgage  Income Fund,  Inc.  (the  "Fund"),  which was
incorporated  under  the  laws of the  State of  Maryland  on May 17,  2002,  is
registered  under  the  Investment  Company  Act of 1940 (the  "1940  Act") as a
diversified,  closed-end  management  investment  company.  The  Fund  commenced
operations on July 26, 2002.  Prior to July 26, 2002, the Fund had no operations
other than the sale of 7,018 shares for $100,000 to Hyperion Capital Management,
Inc. (the "Advisor").

The Fund's investment  objective is to provide a high level of current income by
investing  primarily in  mortgage-backed  securities.  No assurance can be given
that the Fund's investment objective will be achieved.

2.  Significant Accounting Policies

The preparation of financial  statements in conformity  with generally  accepted
accounting principles requires management to make estimates and assumptions that
affect  the  reported  amounts  of assets  and  liabilities  and  disclosure  of
contingent  assets and  liabilities at the date of the financial  statements and
the  reported  amounts of revenues  and expenses  during the  reporting  period.
Actual results could differ from those estimates.

Valuation  of  Investments:  Where  market  quotations  are  readily  available,
securities held by the Fund are valued based upon the current bid price,  except
preferred stocks, which are valued based upon the closing price.  Securities may
be valued by independent  pricing  services that have been approved by the Board
of Directors.  The prices provided by a pricing service take into account broker
dealer market price quotations for institutional  size trading in similar groups
of  securities,   security   quality,   maturity,   coupon  and  other  security
characteristics as well as any developments  related to the specific securities.
The Fund values mortgage-backed securities ("MBS") and other debt securities for
which market  quotations  are not readily  available  (approximately  22% of the
investments in securities  held by the Fund at May 31, 2004) at their fair value
as  determined  in good  faith,  utilizing  procedures  approved by the Board of
Directors of the Fund, on the basis of  information  provided by dealers in such
securities.  Some of the general  factors which may be considered in determining
fair value include the fundamental  analytic data relating to the investment and
an evaluation of the forces which influence the market in which these securities
are  purchased  and  sold.  Determination  of  fair  value  involves  subjective
judgment, as the actual market value of a particular security can be established
only by negotiations between the parties in a sales transaction. Debt securities
having a  remaining  maturity  of sixty  days or less  when  purchased  and debt
securities  originally  purchased  with  maturities  in excess of sixty days but
which  currently  have  maturities of sixty days or less are valued at amortized
cost.

The  ability  of  issuers  of debt  securities  held by the  Fund to meet  their
obligations may be affected by economic  developments in a specific  industry or
region.  The values of MBS can be significantly  affected by changes in interest
rates or in the financial condition of an issuer or market.

Options Written or Purchased: The Fund may write or purchase options as a method
of hedging potential  declines in similar underlying  securities.  When the Fund
writes or purchases an option,  an amount equal to the premium  received or paid
by the Fund is recorded as a liability or an asset and is subsequently  adjusted
to the  current  market  value of the  option  written  or  purchased.  Premiums
received or paid from writing or purchasing options which expire unexercised are
treated by the Fund on the  expiration  date as  realized  gains or losses.  The
difference  between the  premium and the amount paid or received on  effecting a
closing purchase or sale transaction,  including brokerage commissions,  also is
treated as a realized gain or loss. If an option is exercised,  the premium paid
or received is added to the  proceeds  from the sale or cost of the  purchase in
determining  whether  the Fund has  realized a gain or a loss on the  investment
transaction.







-------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Notes to Financial Statements -- (Unaudited)
May 31, 2004
-------------------------------------------------------------------------------

The  Fund,  as  writer  of an  option,  may have no  control  over  whether  the
underlying  securities  may be sold  (call) or  purchased  (put) and as a result
bears the  market  risk of an  unfavorable  change in the price of the  security
underlying the written option.

The Fund purchases or writes options to hedge against  adverse market  movements
or fluctuations in value caused by changes in interest rates. The Fund bears the
risk in  purchasing an option,  to the extent of the premium paid,  that it will
expire without being exercised. If this occurs, the option expires worthless and
the  premium  paid for the option is  recognized  as a realized  loss.  The risk
associated with writing call options is that the Fund may forego the opportunity
for a profit if the market value of the  underlying  position  increases and the
option is exercised.  The Fund will only write call options on positions held in
its  portfolio.  The risk in  writing a put  option is that the Fund may incur a
loss if the market value of the underlying  position decreases and the option is
exercised.  In addition, the Fund bears the risk of not being able to enter into
a closing transaction for written options as a result of an illiquid market.

Short Sales:  The Fund may make short sales of securities as a method of hedging
potential  declines in similar  securities owned. The Fund may have to pay a fee
to borrow the particular securities and may be obligated to pay to the lender an
amount  equal to any  payments  received on such  borrowed  securities.  A gain,
limited  to the  amount at which the Fund sold the  security  short,  or a loss,
unlimited as to dollar amount,  will be realized upon the termination of a short
sale if the  market  price  is less or  greater  than  the  proceeds  originally
received.

Financial  Futures  Contracts:  A futures  contract is an agreement  between two
parties to buy and sell a financial instrument for a set price on a future date.
Initial margin deposits are made upon entering into futures contracts and can be
either  cash or  securities.  During the period the  futures  contract  is open,
changes in the value of the  contract  are  recognized  as  unrealized  gains or
losses by  "marking-to-market"  on a daily basis to reflect the market  value of
the contract at the end of each day's  trading.  Variation  margin  payments are
made or  received,  depending  upon  whether  unrealized  gains  or  losses  are
incurred.  When the contract is closed, the Fund records a realized gain or loss
equal to the  difference  between  the  proceeds  from (or cost of) the  closing
transaction and the Fund's basis in the contract.

The Fund invests in financial futures contracts to hedge against fluctuations in
the  value of  portfolio  securities  caused by  changes  in  prevailing  market
interest  rates.  Should  interest  rates  move  unexpectedly,  the Fund may not
achieve the  anticipated  benefits of the  financial  futures  contracts and may
realize a loss. The use of futures  transactions  involves the risk of imperfect
correlation in movements in the price of futures  contracts,  interest rates and
the  underlying  hedged  assets.  The Fund is at risk that it may not be able to
close out a transaction because of an illiquid market.

Swap agreements: The Fund may enter into interest rate swap agreements to manage
its  exposure to  interest  rates.  Interest  rate swap  agreements  involve the
exchange by the Fund with another party of their  respective  commitments to pay
or receive interest,  e.g., an exchange of floating rate payments for fixed rate
payments with respect to a notional  amount of principal.  The Fund will usually
enter into interest rate swaps on a net basis, i.e., the two payment streams are
netted out, with the Fund receiving or paying,  as the case may be, only the net
amount of the two  payments.  Swaps are marked to market  based upon  quotations
from market  makers and the change,  if any,  along with an accrual for periodic
payments due or owed is recorded as unrealized  gain or loss in the Statement of
Operations.  Net  payments  of interest on  interest  rate swap  agreements  are
included as part of realized gain/loss in the Statement of Operations.  Entering
into these  agreements  involves,  to varying  degrees,  elements  of credit and
market risk in excess of the amounts  recognized  on the Statement of Assets and
Liabilities.  Such risks  involve the  possibility  that there will be no liquid
market for these agreements, that the counterparty to the agreements may default
on its  obligation  to perform or that there may be  unfavorable  changes in the
fluctuation  of  interest  rates.  See Note 7 for a  summary  of all  open  swap
agreements as of May 31, 2004.







-------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Notes to Financial Statements -- (Unaudited)
May 31, 2004
-------------------------------------------------------------------------------

As a result of a recent FASB Emerging Issues Task Force consensus and subsequent
related SEC staff guidance,  the Fund has  reclassified  periodic  payments made
under interest rate swap agreements,  previously  included within net investment
income, to components of realized and unrealized gain (loss) in the Statement of
Operations. For consistency, similar reclassifications have been made to amounts
appearing in the previous year's  Statement of Changes in Net Assets and the per
share  amounts in prior year  financial  highlights.  Prior year expense and net
investment  income  ratios in the financial  highlights  have also been modified
accordingly.  This reclassification increased net investment income by $112,592,
increased net realized loss on swap  contracts by $53,965 and reduced net change
in unrealized gain on swap contracts by $58,627 for the six months ended May 31,
2004,  and increased net investment  income by $522,260,  increased net realized
loss on swap contracts by $154,861 and increased  change in net unrealized  loss
on swap  contracts  by  $367,399  for the year ended  November  30,  2003.  Such
reclassifications  had no effect on the Fund's net asset value,  either in total
or per share,  or its total  increase in net assets from  operations  during any
period.

When-Issued Purchases and Forward Commitments:  The Fund may purchase securities
on a  "when-issued"  basis and may  purchase  or sell  securities  on a "forward
commitment"  basis in order to hedge  against  anticipated  changes in  interest
rates and prices and secure a favorable rate of return.  When such  transactions
are negotiated, the price, which is generally expressed in yield terms, is fixed
at the time the  commitment is made, but delivery and payment for the securities
take place at a later  date,  which can be a month or more after the date of the
transaction. At the time the Fund makes the commitment to purchase securities on
a when-issued or forward  commitment  basis it will record the  transaction  and
thereafter  reflect the value of such  securities in  determining  its net asset
value.  At the time the Fund  enters  into a  transaction  on a  when-issued  or
forward  commitment  basis, the Advisor will identify  collateral  consisting of
cash or liquid  securities  equal to the  value of the  when-issued  or  forward
commitment  securities  and will  monitor the adequacy of such  collateral  on a
daily  basis.  On the delivery  date,  the Fund will meet its  obligations  from
securities  that are then  maturing  or sales of the  securities  identified  as
collateral  by the Advisor  and/or from then  available  cash flow.  When-issued
securities and forward  commitments may be sold prior to the settlement date. If
the Fund  disposes of the right to acquire a when-issued  security  prior to its
acquisition  or  disposes  of its right to deliver or receive  against a forward
commitment,  it can  incur a gain or loss due to  market  fluctuation.  There is
always a risk that the  securities  may not be  delivered  and that the Fund may
incur a loss.  Settlements in the ordinary course are not treated by the Fund as
when-issued or forward commitment transactions and, accordingly, are not subject
to the foregoing  limitations  even though some of the risks described above may
be present in such transactions.

Securities  Transactions  and Investment  Income:  Securities  transactions  are
recorded  on  the  trade  date.   Realized  gains  and  losses  from  securities
transactions  are calculated on the identified  cost basis.  Interest  income is
recorded on the accrual basis. Discounts and premiums on securities are accreted
and amortized, respectively, using the effective yield to maturity method.

Taxes:  It is the Fund's  intention to continue to meet the  requirements of the
Internal  Revenue Code  applicable  to  regulated  investment  companies  and to
distribute  substantially  all  of  its  taxable  income  to  its  shareholders.
Therefore, no federal income or excise tax provision is required.

Dividends and  Distributions:  The Fund declares and pays dividends monthly from
net  investment  income.  Distributions  of realized  capital gains in excess of
capital loss  carryforwards  are  distributed at least  annually.  Dividends and
distributions  are  recorded  on  the  ex-dividend  date.   Dividends  from  net
investment  income  and  distributions   from  realized  gains  from  investment
transactions  have  been  determined  in  accordance  with  Federal  income  tax
regulations  and may  differ  from net  investment  income  and  realized  gains
recorded by the Fund for financial reporting purposes. These differences,  which
could be temporary or permanent  in nature,  may result in  reclassification  of
distributions; however, net investment income, net realized gains and net assets
are not affected.







-------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Notes to Financial Statements -- (Unaudited)
May 31, 2004
-------------------------------------------------------------------------------

Cash Flow Information:  The Fund invests in securities and distributes dividends
and distributions  which are paid in cash or are reinvested at the discretion of
shareholders.  These  activities are reported in the Statement of Changes in Net
Assets.  Additional  information on cash receipts and cash payments is presented
in the Statement of Cash Flows. Cash, as used in the Statement of Cash Flows, is
the amount  reported as "Cash" in the Statement of Assets and  Liabilities,  and
does not include short-term investments.

Accounting  practices  that do not affect  reporting  activities on a cash basis
include  carrying  investments  at value and accreting  discounts and amortizing
premiums on debt obligations.

Repurchase Agreements: The Fund, through its custodian, receives delivery of the
underlying  collateral,  the market  value of which at the time of  purchase  is
required  to be in an  amount  at least  equal to the  resale  price,  including
accrued  interest.  The Advisor is responsible for determining that the value of
these  underlying  securities is sufficient at all times. If the seller defaults
and the value of the collateral declines or if bankruptcy  proceedings  commence
with respect to the seller of the security, realization of the collateral by the
Fund may be delayed or limited.

3.  Investment Advisory Agreements and Affiliated Transactions

The Fund has entered into an Investment Advisory Agreement with the Advisor. The
Advisor is responsible  for the management of the Fund's  portfolio and provides
the  necessary  personnel,  facilities,  equipment  and certain  other  services
necessary to the  operations  of the Fund.  For such  services,  the Fund pays a
monthly fee at an annual rate of 0.65% of the Fund's  average weekly net assets.
During the six  months  ended May 31,  2004,  the  Advisor  earned  $480,214  in
investment advisory fees.

The Advisor had entered into a  Sub-Advisory  Agreement with Lend Lease Hyperion
Capital  Advisors,  LLC ("Lend Lease  Hyperion").  Lend Lease Hyperion was owned
equally by Lend Lease Real Estate  Investments,  Inc.  ("LLREI") and the Advisor
and  was  formed  for  the  purpose  of  managing   portfolios   of   commercial
mortgage-backed  securities  ("CMBS").  On  August  12,  2003,  GMAC  Commercial
Mortgage   Corporation   purchased  the  assets  of  LLREI.  As  a  result,  the
Sub-Advisory Agreement terminated  automatically by its terms due to a change of
control of Lend Lease  Hyperion.  In addition,  Lend Lease Hyperion  changed its
name to Hyperion/GMAC  Capital  Advisors,  LLC  ("Hyperion/GMAC").  At a special
meeting held on April 15, 2003, the Board of Directors,  in anticipation of Lend
Lease Hyperion's  change of control and the resulting  automatic  termination of
the Sub-Advisory Agreement,  approved (1) an Interim Sub-Advisory Agreement (the
"Interim  Agreement") with Hyperion/GMAC  effective when the Lend Lease Hyperion
change of control was completed,  and (2) a new Sub-Advisory Agreement (the "New
Sub-Advisory Agreement") with Hyperion/GMAC. The Interim Agreement terminated on
December 9, 2003,  the date on which the Fund's  stockholders  approved  the New
Sub-Advisory  Agreement.  Under  the  terms of the New  Sub-Advisory  Agreement,
Hyperion/GMAC  is to assist in managing  the Fund's  investments  in CMBS and to
provide such investment  research and advice  regarding CMBS as may be necessary
for the  operation  of the  Fund.  The  same  fee paid  under  the  Sub-Advisory
Agreement was paid by the Advisor,  out of its advisory  fee, to Hyperion/  GMAC
under the Interim  Agreement  and will  continue to be paid by the Advisor under
the new  Sub-Advisory  Agreement.  The monthly fee is equally to a percentage of
the portion of the Fund's  average  weekly net assets that are invested in CMBS.
The fee is  determined by the credit rating of the CMBS at the time of purchase,
and ranges from 1.00% for unrated CMBS to 0.13% for AAA/Aaa rated CMBS.

The Fund has entered into an  Administration  Agreement  with  Hyperion  Capital
Management,  Inc.  (the  "Administrator").  The  Administrator  entered  into  a
sub-administration  agreement  with State  Street  Bank and Trust  Company  (the
"Sub-Administrator").    The   Administrator   and   Sub-Administrator   perform
administrative  services  necessary  for the  operation  of the Fund,  including
maintaining  certain  books and  records of the Fund and  preparing  reports and
other  documents  required  by federal,  state,  and other  applicable  laws and
regulations,  and providing the Fund with administrative office facilities.  For
these  services,  the Fund pays to the  Administrator a monthly fee at an annual
rate of 0.20% of the Fund's  average  weekly net  assets.  During the six months
ended May 31, 2004 the




-------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Notes to Financial Statements -- (Unaudited)
May 31, 2004
-------------------------------------------------------------------------------

Administrator  earned  $147,758 in  administration  fees. The  Administrator  is
responsible for any fees due the Sub-Administrator.

Certain  officers and/or  directors of the Fund are officers and/or directors of
the Advisor and /or Administrator.

4.  Purchases and Sales of Investments

Purchases  and  sales of  investments,  excluding  short-term  securities,  U.S.
Government  securities  and reverse  repurchase  agreements,  for the six months
ended May 31, 2004, were  $24,541,960 and $14,255,628,  respectively.  Purchases
and sales of U.S. Government securities,  for the six months ended May 31, 2004,
were $70,649,813 and $68,564,817,  respectively.  For purposes of this footnote,
U.S.  Government  securities may include securities issued by the U.S. Treasury,
Federal  Home Loan  Mortgage  Corporation,  and the  Federal  National  Mortgage
Association.

5.  Borrowings

The Fund may enter into reverse repurchase agreements with the same parties with
whom  it may  enter  into  repurchase  agreements.  Under a  reverse  repurchase
agreement, the Fund sells securities and agrees to repurchase them at a mutually
agreed upon date and price.  Under the 1940 Act, reverse  repurchase  agreements
will be  regarded  as a form of  borrowing  by the Fund  unless,  at the time it
enters into a reverse  repurchase  agreement,  it  establishes  and  maintains a
segregated account with its custodian  containing  securities from its portfolio
having a value not less than the repurchase price (including  accrued interest).
The Fund has  established and maintained such an account for each of its reverse
repurchase agreements.

Reverse  repurchase  agreements  involve  the risk that the market  value of the
securities  retained in lieu of sale by the Fund may decline  below the price of
the securities  the Fund has sold but is obligated to  repurchase.  In the event
the  buyer  of  securities  under  a  reverse  repurchase  agreement  files  for
bankruptcy  or becomes  insolvent,  such buyer or its  trustee or  receiver  may
receive  an  extension  of time to  determine  whether  to  enforce  the  Fund's
obligation to repurchase the  securities,  and the Fund's use of the proceeds of
the reverse  repurchase  agreement may  effectively  be restricted  pending such
decision.

At May 31,  2004  the  Fund  had the  following  reverse  repurchase  agreements
outstanding:



                                                                                                 
                                                                                                        Maturity
     Face Value                                   Description                                            Amount
  ----------------   -------------------------------------------------------------------             ------------
  $    2,302,000     Merrill Lynch, 1.11%, dated 05/13/04, maturity date06/23/04................   $    2,304,910
       1,678,000     Merrill Lynch, 1.11%, dated 05/13/04, maturity date 06/23/04...............        1,680,121
       9,532,000     Merrill Lynch 1.11%, dated 05/13/04, maturity date 06/23/04................        9,544,050
       3,096,000     Lehman Brothers 1.12%, dated 05/27/04, maturity date 06/08/04..............        3,097,156
       1,816,000     Lehman Brothers 1.12%, dated 05/27/04, maturity date 06/08/04..............        1,816,678
       4,954,000     Lehman Brothers 1.10%, dated 05/28/04, maturity date 06/15/04..............        4,956,725
       2,700,000     Morgan Stanley 1.08%, dated 05/21/04, maturity date 06/23/04...............        2,702,673
      19,600,000     Morgan Stanley 1.12%, dated 05/27/04, maturity date 06/02/04...............       19,603,659
       2,127,000     Morgan Stanley 1.09%, dated 05/27/04, maturity date 06/08/04...............        2,127,773
       8,124,000     Goldman Sachs 1.10%, dated 05/12/04, maturity date 06/23/04................        8,134,426
      10,172,000     Goldman Sachs 1.10%, dated 05/12/04, maturity date 06/23/04................       10,185,054
  --------------                                                                                   --------------
  $   66,101,000
  ==============
                        Maturity Amount, Including Interest Payable.............................  $   66,153,225
                                                                                                   --------------
                        Market Value of Assets Sold Under Agreements............................  $   68,370,744
                                                                                                   --------------
                        Weighted Average Interest Rate..........................................            1.11%
                                                                                                   --------------









-------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Notes to Financial Statements -- (Unaudited)
May 31, 2004
-------------------------------------------------------------------------------

The average daily balance of reverse  repurchase  agreements  outstanding during
the six months ended May 31, 2004, was  approximately  $57,502,781 at a weighted
average  interest  rate of  1.09%.  The  maximum  amount of  reverse  repurchase
agreements  outstanding  at any time  during the period  was  $75,036,958  as of
February 11, 2004, which was 33.62% of total assets.

6.  Capital Stock

There are 50 million shares of $0.01 par value common stock  authorized.  Of the
10,142,600 shares outstanding at May 31, 2004, the Advisor owned 7,018 shares.

In connection with the initial public offering of the Fund's Shares, the Advisor
made an  undertaking  to pay any  offering  costs in excess of $0.03 per  common
share. The Advisor has advised the Fund that such excess amounted to $482,964.

7.  Financial Instruments

The Fund regularly trades in financial  instruments with off-balance  sheet risk
in the normal course of its investing  activities to assist in managing exposure
to various market risks.  These financial  instruments  include written options,
futures  contracts and swap  agreements  and may involve,  to a varying  degree,
elements of risk in excess of the amounts  recognized  for  financial  statement
purposes. The notional or contractual amounts of these instruments represent the
investment the Fund has in particular classes of financial  instruments and does
not  necessarily   represent  the  amounts  potentially  subject  to  risk.  The
measurement of the risks  associated  with these  instruments is meaningful only
when all related and offsetting transactions are considered.  During the period,
the  Fund  had  segregated  sufficient  cash  and/or  securities  to  cover  any
commitments under these contracts.

There was no written option activity for the six months ended May 31, 2004.

As of May 31, 2004, the following swap agreements were outstanding:



                                                                                                  

                    Expiration                                                                        Net Unrealized
  Notional Amount      Date                                     Description                            Appreciation
  ---------------    --------- ------------------------------------------------------------------    ---------------
  $   10,000,000      01/23/06 Agreement with Goldman Sachs Capital Markets, LP, dated 01/21/04 to      $   42,138
                               pay semi-annually the notional amount multiplied by 2.005% and to
                               receive quarterly the notional amount multiplied by 3 month USD-
                               LIBOR-BBA.


                                                                                                        -------------
                                                                                                        $   42,138
                                                                                                       ==============

As of May 31, 2004, the following futures contract was outstanding:

Short:
                                                                                                      Net Unrealized
  Notional                                                             Cost at         Value at        Appreciation/
   Amount                 Type                  Expiration Date      Trade Date      May 31, 2004     (Depreciation)
------------     ----------------------        ------------------   ------------------------------------------------

$ 1,600,000      5 Yr. U.S. Treasury Note      June 2004            $ 1,820,380      $ 1,753,000         $ 67,380

8.  Federal Income Tax Information

Income and capital gain distributions are determined in accordance with federal income tax regulations, which may differ
from generally accepted accounting principles.







-------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Notes to Financial Statements -- (Unaudited)
May 31, 2004
-------------------------------------------------------------------------------

During the year ended November 30, 2003 the tax character of the $13,140,962 of
distributions paid was from ordinary income.

At May 31, 2004 the components of net assets (excluding paid-in-capital) on a
tax basis were as follows:



                                                                                   

        Undistributed Tax ordinary income..................................        $      741,058
                                                                                      --------------
          Accumulated capital loss.........................................        $   (2,529,558)
                                                                                      ==============
        Book basis unrealized appreciation/(depreciation)..................        $    2,807,957
        Plus: Cumulative timing differences................................        $       (9,033)
                                                                                      --------------
          Unrealized appreciation/(depreciation)...........................        $    2,798,924
                                                                                      ==============




The difference between book basis and tax basis  undistributed  income is due to
the differing treatment of investments in swap contracts. The difference between
book basis and tax basis  unrealized  appreciation/(depreciation)  is due to the
differing treatment of investments in swap contracts and the market-to-market of
futures. The difference between book basis and tax basis accumulated gain/(loss)
is due to the market-to-market of futures.

Federal Income Tax Basis: The federal income tax basis of the Fund's investments
at May 31, 2004 was  $217,486,147.  Net unrealized  appreciation  was $2,708,904
(gross unrealized  appreciation -- $4,672,611;  gross unrealized depreciation --
$1,963,707).  During  the six  months  ended  May 31,  2004,  the Fund  utilized
available capital loss carryforwards amounting to $168,218. At May 31, 2004, the
Fund had a capital loss  carryforward of $2,529,558,  which $746,090  expires in
2010 and $1,783,468  expires in 2011,  available to offset any future gains,  to
the extent provided by regulations.

Capital  Account  Reclassification:  For the six months ended May 31, 2004,  the
Fund's  undistributed  net  investment  income was increased by $411,971 with an
offsetting  decrease in accumulated net realized loss.  These  adjustments  were
primarily  the  result  of  current  year  paydown   reclassifications  and  the
reclassifications of payments related to swaps.

9.  Subsequent Events

Dividend:  The Fund's Board of Directors  declared the following regular monthly
dividends:

                     Dividend       Record     Payable
                     Per Share       Date       Date
                    ----------     --------    ---------
                  $  0.1080        06/15/04    06/24/04



-------------------------------------------------------------------------------

                            PROXY RESULTS (Unaudited)

-------------------------------------------------------------------------------


During the six months ended May 31, 2004, The Hyperion Strategic Mortgage Income
Fund,  Inc.  shareholders  voted on the  following  proposals  at  shareholders'
meetings  on  December  9, 2003 and  April 13,  2004.  The  description  of each
proposal and number of shares voted are as follows:



                                                                                                
December 9, 2003 Meeting:
---------------------------------------------------------------------------------------------------------------------
                                                                             Shares Voted Shares Voted  Shares Voted
                                                                                  For        Against       Abstain
---------------------------------------------------------------------------------------------------------------------
 1.     Approval of New Investment Sub-Advisory Agreement:                     9,528,731     108,960       115,752

April 13, 2004 Meeting:
---------------------------------------------------------------------------------------------------------------------
                                                                             Shares Voted Shares Voted  Shares Voted
                                                                                  For        Against       Abstain
---------------------------------------------------------------------------------------------------------------------
 1.     To elect to the Fund's Board of Directors                              9,979,003        0           48,982
        Rodman L. Drake:

---------------------------------------------------------------------------------------------------------------------
                                                                             Shares Voted Shares Voted  Shares Voted
                                                                                  For        Against       Abstain
----------------------------------------------------------------------------------------------------------------------
 2.     To elect to the Fund's Board of Directors                              9,979,003        0           48,982
        Harry E. Petersen:

---------------------------------------------------------------------------------------------------------------------
                                                                             Shares Voted Shares Voted  Shares Voted
                                                                                  For        Against       Abstain
---------------------------------------------------------------------------------------------------------------------
 3.     To elect to the Fund's Board of Directors                              9,979,003        0           48,982
        Clifford E. Lai:

---------------------------------------------------------------------------------------------------------------------
                                                                             Shares Voted Shares Voted  Shares Voted
                                                                                  For        Against       Abstain
---------------------------------------------------------------------------------------------------------------------
 4.     To select PricewaterhouseCoopers LLP as the independent auditors:      9,924,233      23,482        80,270

---------------------------------------------------------------------------------------------------------------------








                                                                                                         
------------------------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Information Concerning Directors and Officers (Unaudited)

------------------------------------------------------------------------------------------------------------------------------------

The following tables provide information concerning the directors and officers  of The Hyperion Strategic Mortgage Income Fund,
Inc.(the "Fund").


                          Position(s) Held with                                                              Number of
                          Fund and Term of                                                                   Portfolios in Fund
Name, Address             Office and Length of       Principal Occupation(s) During Past 5 Years and         Complex Overseen
and Age                   Time Served                Other Directorships Held by Director                    by Director
----------------------------------------------------------------------------------------------------------------------

Disinterested Director
Class I to serve until 2006 Annual Meeting of Stockholders:

--------------------------
Robert F. Birch           Director, Member of The    Director  and/or Trustee of several  investment         5
   c/o One Liberty Plaza  Audit Committee, Member    companies    advised   by   Hyperion    Capital
   36th Floor             of Nominating and          Management,      Inc.      (the      "Advisor")
   New York, NY           Compensation Committee     (1989-Present);  Chairman  and  President,  New
   10006-1404             and Member of Executive    America High Income Fund (1992-Present);
                          Committee                  Chairman of the Board and Co-Founder,  The  China
                                                     Business  Group,  Inc.(1996-Present);  Director,
                                                     Brandywine Funds (3) (2001 to Present).


  Age 68                  Elected for Three-Year
                          Term

                          Director since June
                          2002

Disinterested Directors
Class II to serve until 2007 Annual Meeting of Stockholders:


Rodman L. Drake           Chairman                   Chairman (since  2003) and Director  and/or            3
 c/o One Liberty Plaza    Elected December 9,        Trustee of  several  investment companies  (3)
 36th Floor               2003                       advised by Hyperion  Capital  Management,  Inc.
 New York, NY                                        (the "Advisor")  (1989-  Present);  Co-Founder,
 10006-1404                                          Baringo Capital LLC (2002- Present);  Director,
                          Director, Member of the    Animal Medical Center (2002-Present);
                          Audit Committee,           Director,  Hotelevision,  Inc. (1999-Present);
Age 61                    Chairman of Nominating     Director, Parsons Brinckerhoff, Inc.
                          and Compensation           (1995-Present);   Director, Absolute  Quality
                          Committee                  Inc.(2000-Present); Trustee  of  Excelsior
                                                     Funds (33) (1994-Present); President,
                                                     Continuation Investments Group Inc.
                          Elected for Three-Year     (1997-2001).
                          Term

                          Director since June
                          2002

Harry E. Petersen, Jr.    Director, Member of the    Director and/or Trustee of several  investment         3
 c/o One Liberty Plaza    Audit Committee, Member    companies (3) advised  by  Hyperion   Capital
 36th Floor               of Nominating and          Management, Inc. (the "Advisor")
 New York, NY             Compensation Committee,    (1992-Present); Senior Consultant    to
 10006-1404               Member of Executive        Cornerstone Equity Advisors, Inc. (1998-2001).
                          Committee

Age 79
                          Elected for Three-Year
                          Term

                          Director since June
                          2002







                                                                                               
------------------------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Information Concerning Directors and Officers (Unaudited)

------------------------------------------------------------------------------------------------------------------------------------
                          Position(s) Held with                                                              Number of
                          Fund and Term of                                                                   Portfolios in Fund
Name, Address             Office and Length of       Principal Occupation(s) During Past 5 Years and         Complex Overseen
and Age                   Time Served                Other Directorships Held by Director                    by Director
----------------------------------------------------------------------------------------------------------------------

Disinterested Director
--------------------------
Class III to serve until 2005 Annual Meeting of Stockholders:

Leo M. Walsh, Jr.         Director, Chairman of      Director  and/or Trustee of several  investment         5
 c/o One Liberty Plaza    the Audit Committee,       companies  (3)  advised  by  Hyperion   Capital
 36th Floor               Member of Nominating       Management, Inc. (the "Advisor") (1989-Present);
 New York, NY             and Compensation           Financial Consultant for Medco Health Solutions,  Inc.
   10006-1404             Committee                  (formerly,  Merck-Medco Managed Care LLC) (1994-Present).
Age 71
                          Elected for Three-Year
                          Term

                          Director since June
                          2002

Interested Director
Class III to serve until 2005 Annual Meeting of Stockholders:

Clifford E. Lai(1)        Director,                  President  (November  1998-Present)  and  Chief         5
   c/o One Liberty Plaza                             Investment  Officer   (1993-2002)  of  Hyperion
   36th Floor             Elected until 2005         Capital   Management,   Inc.  (the  "Investment
   New York, NY           Since December 2003        Advisor");   Co-  Chairman  (2003-Present)  and
   10006-1404                                        Board    of    Managers    (1995-Present)    of
                                                     Hyperion-GMAC  Capital Advisors,  LLC (formerly
                          President                  Lend Lease  Hyperion  Capital  Advisors,  LLC);
                          Elected Annually           President  of  several   investment   companies
Age 51                    Since June 2002            advised by the Advisor (1995-Present).













----------
(1) Mr. Lai is an "interested person" as defined in the Investment Company Act
    of 1940, as amended, (the "1940 Act") because of affiliations with Hyperion
    Capital Management, Inc., the Fund's advisor. As a result of his service
    with the Advisor and certain affiliations with the Advisor as described
    below, the Fund considers Mr. Lai to be an "interested person" of the Fund
    within the meaning of Section 2(a)(19) of the 1940 Act.







                                                                          
----------------------------------------------------------------------------------------------------------------------------------
THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.
Information Concerning Directors and Officers (Unaudited)
----------------------------------------------------------------------------------------------------------------------------------

Officers of the Fund

                              Position(s)          Term of Office and     Principal Occupation(s)
Name, Address and Age         Held with Fund       Length of Time Served  During Past 5 Years
----------------------------------------------------------------------------------------------------------------------------------
----------------------------------------------------------------------------------------------------------------------------------

Clifford E. Lai               President            Elected Annually       Please see "Information Concerning Directors."
  c/o One Liberty Plaza                            Since June 2002
  36th Floor
  New York, NY
  10006-1404

  Age 51

John Dolan                    Vice President       Elected Annually       Chief  Investment   Strategist   (1998-Present) and Chief
 c/o One Liberty Plaza                             Since June 2002        Investment   Officer  (since  2002)of  Hyperion Capital
 36th Floor                                                               Management.
 New York, NY
 10006-1404
  New York, NY
  10006-1404

  Age 50

Patricia A. Sloan             Vice President       Elected Annually       Consultant of Ranieri & Co., Inc. (2000-Present).Formerly
  c/o One Liberty Plaza                            Since June 2002        Secretary,  Director  and/or Trustee of severalinvestment
  36th Floor                                                              companies  advised by  Hyperion  Capital  Management,Inc.
  New York, NY                                                            (1989-2002).
  10006-1404


  Age 60

Thomas F. Doodian             Treasurer            Elected Annually       Managing Director, Chief Operating Officer (1998-
  c/o One Liberty Plaza                            Since June 2002        Present) and Director of Finance and  Operations,Hyperion
  36th Floor                                                              Capital Management, Inc. (July 1995-Present);Treasurer of
  New York, NY                                                            several  investment  companies  advised by Hyperion
  10006-1404                                                              Capital Management, Inc. (February 1998-Present).



  Age 45

Joseph Tropeano               Secretary            Elected Annually       Director   and   Compliance   Officer,  Hyperion Capital
 c/o One Liberty Plaza                             Since June 2002        Management,Inc. (1993-Present); Secretary and Compliance
 36th Floor                                                               Officer  of  several   investment companies   advised  by
 New York, NY                                                             Hyperion   Capital   Management, Inc.  (1994-   Present);
 10006-1404                                                               Secretary and  Compliance  Officer,Hyperion- GMAC Capital
                                                                          Advisors, LLC (1995-Present).

  Age 42






The Fund's Statement of Additional Information includes additional information
about the directors and is available, without charge, upon request by calling
1-800-497-3746.








-------------------------------------------------------------------------------

                           DIVIDEND REINVESTMENT PLAN

-------------------------------------------------------------------------------

A Dividend  Reinvestment  Plan (the "Plan") is available to  shareholders of the
Fund pursuant to which they may elect to have all distributions of dividends and
capital  gains  automatically  reinvested  by  American  Stock  Transfer & Trust
Company (the "Plan Agent") in additional  Fund shares.  Shareholders  who do not
participate  in the Plan will  receive all  distributions  in cash paid by check
mailed  directly  to the  shareholder  of record  (or if the  shares are held in
street or other nominee name, then to the nominee) by the Fund's  Custodian,  as
Dividend Disbursing Agent.

The Plan Agent serves as agent for the shareholders in  administering  the Plan.
After  the Fund  declares  a  dividend  or  determines  to make a  capital  gain
distribution,  payable in cash,  if (1) the market price is lower than net asset
value,  the  participants in the Plan will receive the equivalent in Fund shares
valued at the market price determined as of the time of purchase (generally, the
payment date of the dividend or distribution); or if (2) the market price of the
shares  on the  payment  date of the  dividend  or  distribution  is equal to or
exceeds  their net asset value,  participants  will be issued Fund shares at the
higher of net asset value or 95% of the market  price.  This  discount  reflects
savings in underwriting and other costs that the Fund otherwise will be required
to incur to raise  additional  capital.  If net asset  value  exceeds the market
price of the Fund shares on the payment date or the Fund  declares a dividend or
other  distribution  payable  only in cash  (i.e.,  if the  Board  of  Directors
precludes reinvestment in Fund shares for that purpose), the Plan Agent will, as
agent for the  participants,  receive  the cash  payment  and use it to buy Fund
shares in the open market, on the New York Stock Exchange or elsewhere,  for the
participants'  accounts.  If, before the Plan Agent has completed its purchases,
the market price exceeds the net asset value of the Fund's  shares,  the average
per share  purchase  price paid by the Plan Agent may exceed the net asset value
of the Fund's shares,  resulting in the  acquisition of fewer shares than if the
dividend or  distribution  had been paid in shares issued by the Fund.  The Fund
will not issue shares under the Plan below net asset value.

Participants  in the Plan may withdraw from the Plan upon written  notice to the
Plan Agent.  When a participant  withdraws from the Plan or upon  termination of
the Plan by the Fund,  certificates  for  whole  shares  credited  to his or her
account  under the Plan will be issued and a cash  payment  will be made for any
fraction of a share credited to such account.

There is no charge to  participants  for  reinvesting  dividends or capital gain
distributions, except for certain brokerage commissions, as described below. The
Plan Agent's fees for handling the  reinvestment of dividends and  distributions
are paid by the Fund. There are no brokerage commissions charged with respect to
shares issued directly by the Fund.  However,  each  participant  will pay a pro
rata share of brokerage  commissions  incurred  with respect to the Plan Agent's
open market  purchases in  connection  with the  reinvestment  of dividends  and
distributions.

The  automatic  reinvestment  of dividends  and  distributions  will not relieve
participants  of any federal income tax that may be payable on such dividends or
distributions.

A brochure  describing  the Plan is  available  from the Plan Agent,  by calling
1-212-936-5100.

If you wish to  participate  in the Plan and your  shares are held in your name,
you may simply  complete and mail the enrollment  form in the brochure.  If your
shares are held in the name of your brokerage firm,  bank or other nominee,  you
should ask them  whether or how you can  participate  in the Plan.  Shareholders
whose shares are held in the name of a brokerage firm, bank or other nominee and
are  participating in the Plan may not be able to continue  participating in the
Plan if they transfer their shares to a different  brokerage firm, bank or other
nominee,  since such  shareholders  may  participate  only if  permitted  by the
brokerage firm, bank or other nominee to which their shares are transferred.







                                                                         

INVESTMENT ADVISOR AND ADMINISTRATOR                              TRANSFER AGENT

HYPERION CAPITAL MANAGEMENT, INC.                                 AMERICAN STOCK TRANSFER & TRUST
One Liberty Plaza                                                 COMPANY
165 Broadway, 36th Floor                                          Investor Relations Department
New York, New York 10006-1404                                     59 Maiden Lane
For General Information about the Trust:                          New York, NY 10038
(800) HYPERION                                                    For Shareholder Services:
                                                                  (800) 937-5449

SUB-ADVISOR                                                       INDEPENDENT AUDITORS

HYPERION GMAC CAPITAL ADVISORS, LLC                               PRICEWATERHOUSECOOPERS LLP
One Liberty Plaza                                                 1177 Avenue of the Americas
165 Broadway, 36th Floor                                          New York, New York 10036
New York, New York 10006-1404

SUB-ADMINISTRATOR                                                 LEGAL COUNSEL

STATE STREET BANK and TRUST COMPANY                               SULLIVAN & WORCESTER LLP
225 Franklin Street                                               1666 K Street, N.W.
Boston, Massachusetts 02116                                       Washington, D.C. 20006

CUSTODIAN AND FUND ACCOUNTING AGENT

STATE STREET BANK and TRUST COMPANY
225 Franklin Street
Boston, Massachusetts 02116



Notice  is hereby  given in  accordance  with  Section  23(c) of the  Investment
Company Act of 1940 that  periodically  the Fund may  purchase its shares in the
open market at prevailing market prices.

Quarterly Portfolio Schedule: No later than October 29, 2004, the Fund will file
its complete  schedule of portfolio  holdings with the  Securities  and Exchange
Commission  for the third quarter of 2004 on Form N-Q. The Fund will  thereafter
file Form N-Q for the first and third  quarters of each fiscal year on Form N-Q.
The  Fund's  Forms  N-Q  will  be  available  on  the  Securities  and  Exchange
Commission's website at http://www.sec.gov.  The Fund's Form N-Q may be reviewed
and copied at the Securities and Exchange  Commission's Public Reference Room in
Washington,  D.C. and information on the operation of the Public  Reference Room
may be obtained by calling 1-800-SEC-0330.  Once filed, the most recent Form N-Q
will be available without charge, upon request, by calling  1-800-HYPERION or on
the Fund's website at http://www.hyperioncapital.com.








-------------------------------------------------------------------------------
Officers & Directors

-------------------------------------------------------------------------------

       Rodman L. Drake*
       Chairman

       Robert F. Birch*
       Director

       Leo M. Walsh, Jr.*
       Director

       Harry E. Petersen, Jr.*
       Director

       Clifford E. Lai
       Director and President

       Patricia A. Sloan
       Vice President

       John Dolan
       Vice President

       Thomas F. Doodian
       Treasurer

       Joseph Tropeano
       Secretary

       ----------

       * Audit Committee Members





-------------------------------------------------

                               [GRAPHIC OMITTED]

The  financial  information  included  herein is taken from  records of the Fund
without audit by the Fund's independent auditors,  who do not express an opinion
thereon.

This report is for shareholder  information.  This is not a prospectus  intended
for use in the purchase or sale of Fund shares.

                         The Hyperion Strategic Mortgage
                                Income Fund, Inc.
                                One Liberty Plaza
                            165 Broadway, 36th Floor
                             New York, NY 10006-1404



Item 2. Code of Ethics.

     As of the end of the period  covered by this  report,  the  Registrant  had
adopted  a Code of  Ethics  for  Principal  Executive  and  Principal  Financial
Officers  (the  "Code").  There were no  amendments  to or waivers from the Code
during the period covered by this report. A copy of the  Registrant's  Code will
be provided  upon  request to any person  without  charge by  contacting  Joseph
Tropeano at  1-800-HYPERION  or by writing to Mr. Tropeano at One Liberty Plaza,
165 Broadway, 36th Floor, New York, NY 10006-1404.

Item 3. Audit Committee Financial Expert.

     The Registrant's  Board of Directors has determined that the Registrant has
at least one audit committee  financial  expert serving on its audit  committee,
and his name is Rodman L. Drake. Mr. Drake is independent.

Item 4. Principal Accountant Fees and Services.

         Not applicable.

Item 5. Audit Committee of Listed Registrants.

     The  Registrant  has  a  separately-designated   standing  Audit  Committee
established in accordance  with Section  3(a)(58)(A) of the Securities  Exchange
Act of 1934. The Registrant's Audit Committee members include Leo M. Walsh, Jr.,
Rodman L. Drake, Robert F. Birch and Harry E. Petersen, Jr.

Item 6. Schedule of Investments

         Not applicable.

Item 7. Disclosure of Proxy Voting Policies and Procedures for Closed-End
        Management Investment Companies.

     This Item is not  applicable  as the  Registrant  invested  exclusively  in
non-voting securities during the period covered by this report.

Item 8.

     Not applicable.

Item 9. Submission of Matters to a Vote of Security Holders.

     Not applicable.

Item 10. Controls and Procedures.

     (a) The Registrant's  principal  executive officer and principal  financial
officer have concluded that the Registrant's  Disclosure Controls and Procedures
are  effective,  based on  their  evaluation  of such  Disclosure  Controls  and
Procedures  as of a date  within 90 days of the  filing  of this  report on Form
N-CSR.

     (b) As of the date of filing this Form N-CSR,  the  Registrant's  principal
executive officer and principal financial officer are aware of no changes in the
Registrant's  internal control over financial reporting that occurred during the
Registrant's last fiscal half-year that has materially affected or is reasonably
likely to materially  affect the  Registrant's  internal  control over financial
reporting.

Item 11.  Exhibits.

(a)(1) None.

     (2) A separate  certification  for each  principal  executive  officer  and
principal financial officer of the Registrant as required by Rule 30a-2(a) under
the Investment Company Act of 1940 is attached as an exhibit to this Form N-CSR.

     (3) None.

     (b) A separate  certification  for each  principal  executive  officer  and
principal financial officer of the Registrant as required by Rule 30a-2(b) under
the Investment Company Act of 1940 is attached as an exhibit to this Form N-CSR.






                                   SIGNATURES


     Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, the Registrant has duly caused this report to be
signed on its behalf by the undersigned, thereunto duly authorized.

THE HYPERION STRATEGIC MORTGAGE INCOME FUND, INC.


By: /s/ Clifford E. Lai
        __________________
        Clifford E. Lai
        Principal Executive Officer

Date:  August 6, 2004

     Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment  Company  Act of  1940,  this  report  has been  signed  below by the
following  persons on behalf of the  Registrant and in the capacities and on the
dates indicated.

By: /s/ Clifford E. Lai
        ___________________
        Clifford E. Lai
        Principal Executive Officer

Date:  August 6, 2004

By: /s/ Thomas F. Doodian
        _____________________
        Thomas F. Doodian
        Treasurer and Principal Financial Officer

Date:  August 6, 2004