HYPERION 1999 TERM TRUST INC
N-30D, 1998-08-04
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- ------------------------------------------------------------------------
HYPERION 1999 TERM TRUST, INC.
Report of the Investment Advisor
- ------------------------------------------------------------------------

July 20, 1998
Dear Shareholder:

We welcome this opportunity to provide you with information  about Hyperion 1999
Term Trust, Inc. (the "Trust") for its semi-annual period ended May 31, 1998 and
to share our outlook for the Trust's  fiscal year. The Trust's shares are traded
on the New York Stock Exchange ("NYSE") under the symbol "HTT".

Description Of The Trust

The Trust is a closed-end  investment company whose investment objectives are to
attempt to provide a high level of current income consistent with investing only
in securities of the highest  credit quality and to return $10.00 per share (the
initial  public  offering  price per share) to  investors  on or shortly  before
November 30, 1999.  There is no assurance that this investment  objective can be
met; you may recall in our last three shareholder letters we noted that it would
be extremely difficult for the Trust to return $10.00 per share on its scheduled
termination date.  Unfortunately,  it still remains extremely  difficult for the
Trust to achieve its $10.00 per share  objective.  The Trust continues to invest
in a  portfolio  primarily  of  mortgage-backed  securities  ("MBS")  issued  or
guaranteed by the U.S.  Government or one of its agencies or  instrumentalities,
or other MBS rated AAA by a nationally  recognized rating agency (e.g., Standard
& Poor's Corporation or Fitch IBCA, Inc.).



<PAGE>



Market Environment

Prices for fixed income  securities have increased over the last six months with
interest  rates  falling an average of 25 basis  points.  A  significant  factor
contributing  to the strong  performance  of the bond market are the current low
levels of inflation in the U.S.  economy.  The rise in the Consumer  Price Index
("CPI")  in 1997 was 2.2%  versus a 3.0% to 3.5%  range  throughout  most of the
1990s.  Although the CPI has increased  slightly this year, the Federal  Reserve
has  chosen  to keep  short  term  interest  rates  unchanged.  Asia's  economic
difficulties,  and lower global inflation,  continue to be key factors affecting
domestic fixed income market volatility and performance.  Japan, China and Korea
are all economies that impact U.S. fixed income  markets.  The weakness in these
economies is having an offsetting  influence on the strong domestic  economy and
its increased wage pressures, giving rise to the strong performance in the U.S.
fixed income markets.

Hyperion Capital Management, Inc. ("Hyperion") continues to be optimistic on the
bond  market.  Positive  fundamentals,  such  as  an  improving  fiscal  policy,
declining government deficits, and an expectation of prolonged economic problems
in Asia are some of the major factors in place supporting Hyperion's outlook for
lower bond yields.

As a result of the current low interest rate  environment,  prepayment  risk has
increased.  A combination  of efficient  computer  technology  and greater media
publicity  has  made  mortgage  refinancing  a  potentially  common  occurrence.
Recently,  homeowners  have been made more  aware of the best time to  refinance
through more  thorough and timely news reports,  advertising  and other forms of
media.  Powerful  search  engines on the Internet  and the  public's  increasing
comfort  with  this  new  informative  tool  provide  further   opportunity  for
homeowners  to  refinance  quicker,  cheaper  and  without  many of  yesterday's
refinancing hassles. In order to reduce exposure to prepayment risk,  Hyperion's
strategy has been to increase the  allocation  of securities in the portfolio to
those  that are  structured  to  deflect  prepayment  risk and whose  underlying
collateral is less prepayment sensitive.


Portfolio Strategy and Performance

In light of the current interest rate environment, Hyperion has actively managed
the Trust's assets to take advantage of lower interest rates,  while  minimizing
the impact that homeowner  refinancings might have on the Trust. The portfolio's
exposure to prepayment  insensitive  securities  was  increased;  primarily U.S.
Treasury  securities,  U.S. Agency and asset-backed  securities.  The Trust also
increased  its  exposure  to  mortgage  securities  that had a higher  degree of
prepayment  protection  because the underlying  mortgage interest rate was below
the  band of  economic  "refinancability",  or  simple  collateralized  mortgage
obligations("CMOs")  securities  with a higher than average degree of prepayment
protection.

The  Trust's  total  return  based on Net Asset  Value for the six month  period
ending  May 31,  1998 was  4.09%.  Total  return is based upon the change in Net
Asset Value of the Trust's shares and includes  reinvestment  of dividends.  The
current  monthly  dividend the Trust pays its shareholder is $0.03542 per share.
The current  yield of 6.07% on shares of the Trust is based on the NYSE  closing
price of $7.00 on May 29,  1998.  This yield was 55 basis points above the yield
on the 2-Year Treasury Note.

As of the  end of  July,  the  Trust,  inclusive  of  leverage,  had a  duration
(duration  measures  a bond  portfolio's  price  sensitivity  to  interest  rate
changes) of 3.3 years, with the core  (non-levered)  assets having a duration of
2.4 years.

During  the past six  months,  the Trust  has  continued  its  share  repurchase
program.  This repurchase program allows the Trust to purchase and retire shares
of the Trust in the open marketplace. Such transactions were made when the share
price of the Trust was  significantly  below the Trust's NAV. By purchasing  the
stock at a discount to the NAV and retiring the stock, the spread (between stock
purchase  price and the NAV) is  captured by the Trust and  benefits  all of the
Trust's remaining shareholders.  From December 1, 1997 through and including May
31,1998, the Trust has repurchased and retired 186,000 shares, capturing $0.0009
in  additional  NAV  per  share  or  $53,305  in an  actual  dollar  amount  for
shareholders.


The chart that follows  shows the  allocation  of the Trust's  holdings by asset
category on May 31, 1998.



                      HYPERION 1999 TERM TRUST, INC.
              PORTFOLIO OF INVESTMENTS AS OF MAY 31, 1998 *

                                PIE CHART

U.S. Government Agency Pass-Through Certificates                    25.4%
U.S. Government Agency Collateralized Mortgage Obligations          39.4%
U.S. Treasury Obligations                                           13.6%
Asset-Backed Securities                                              9.9%
Collateralized Mortgage Obligations                                 11.4%
Municipal Zero Coupon Securities                                     0.1%
Repurchase Agreement                                                 0.2%

*As a percentage of total investments.






Conclusion

We appreciate the  opportunity to serve your  investment  needs and we thank you
for your continued  support.  As always,  we welcome your questions and comments
and  encourage  you to  contact  our  Shareholder  Services  Representatives  at
1-800-HYPERION.



Sincerely,





KENNETH C. WEISS
Chairman,
Hyperion 1999 Term Trust, Inc.
President and Chief Executive Officer,
Hyperion Capital Management, Inc.




CLIFFORD E. LAI
President,
Hyperion 1999 Term Trust, Inc.
Managing Director and Chief Investment Officer,
Hyperion Capital Management, Inc.





<TABLE>
<S>                                        <C>              <C>                 <C>                      <C>


 ------------------------------------------------------------------------------------------------------------------------
 HYPERION 1999 TERM TRUST, INC.
 Portfolio of Investments
 May 31, 1998 (unaudited)                                                        Principal
                                            Interest                              Amount                   Value
                                              Rate             Maturity           (000s)                 (Note 2)
 ------------------------------------------------------------------------------------------------------------------------


 U.S. GOVERNMENT & AGENCY OBLIGATIONS - 111.9%
 U.S. Government Agency Pass-Through Certificates - 36.2%
 Federal Home Loan Mortgage Corporation             6.50%  06/01/08-05/01/09           $51,217              $ 51,688,833
                                                    8.00       08/01/24                  2,405                 2,512,617
                                                                                                   ----------------------
                                                                                                              54,201,450
                                                                                                   ----------------------

 Federal National Mortgage Association              6.00  11/01/01-08/01/02             35,115                35,089,010
                                                    6.50  08/01/02-10/01/10             36,616                36,886,722
                                                    7.00  06/01/01-06/01/11             32,079                32,585,358
                                                                                                   ----------------------
                                                                                                             104,561,090
                                                                                                   ----------------------

 Government National Mortgage Association           8.00  10/15/24-01/15/26              4,616                 4,805,670
                                                                                                   ----------------------

 Total U.S. Government Agency Pass-Through Certificates
         (Cost -  $ 159,669,575  )                                                                           163,568,210
                                                                                                   ----------------------

 U.S. Government Agency Collateralized Mortgage Obligations - 56.3%
 Federal Home Loan Mortgage Corporation
    Series 1684, Class D                            5.35       11/15/14                 17,692                17,659,624
    Series 1490, Class PE                           5.75       07/15/06                  6,265                 6,255,732
    Series 1634, Class PE                           5.75       06/15/18                  8,380                 8,347,795
    Series 1610, Class PE                           6.00       04/15/17                 35,016  @             35,041,278
    Series 1517, Class E                            6.00       04/15/18                  1,765                 1,766,347
    Series 1478, Class F                            6.50       05/15/06                  8,156                 8,247,585
    Series 1456, Class G                            6.50       12/15/18                 10,000                10,054,250
    Series 1722, Class PG                           6.50       12/15/19                 10,000                10,123,158
    Series 1453, Class S                            6.80+      01/15/00                  4,091                 4,130,022
    Series 55, Class D                              9.00       11/15/14                    140                   140,076
                                                                                                   ----------------------
                                                                                                             101,765,867
                                                                                                   ----------------------

 Federal National Mortgage Association
    Series 1994-30, Class E                         5.75       11/25/17                 28,000                27,878,620
    Series 1993-135, Class PZ                       5.85       08/25/03                 39,950  @             39,878,249
    Series 1994-50, Class PD                        5.85       09/25/17                 48,000  @             47,828,880
    Series 1996-53, Class PD                        6.50       06/18/10                 31,100  @             31,404,786
    Series 1997-24, Class PJ                        7.00       08/18/26                  5,351                 5,510,909
                                                                                                   ----------------------
                                                                                                             152,501,444
                                                                                                   ----------------------

 Total U.S. Government Agency Collateralized Mortgage Obligations

        ( Cost -  $ 249,548,551  )                                                                           254,267,311
                                                                                                   ----------------------

 U.S. Treasury Obligations - 19.4%
 U.S. Treasury Notes                                5.88       10/31/98                  8,000  @              8,012,504
                                                    5.88       11/15/99                  5,700  @              5,726,722
                                                    6.13       08/15/07                 13,500  @             13,938,763
                                                    6.25       05/31/00                  8,000  @              8,105,008
                                                    7.75       12/31/99                 25,000  @             25,820,325
                                                    7.75       01/31/00                 25,000  @             25,859,400
                                                                                                   ----------------------
 Total U.S. Treasury Obligations
        ( Cost -   $ 87,144,102  )                                                                            87,462,722
                                                                                                   ----------------------

 Total U.S. Government & Agency Obligations
        ( Cost -  $ 496,362,228  )                                                                           505,298,243
                                                                                                   ----------------------

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

 ASSET-BACKED SECURITIES - 14.1%
 Chase Manhattan Credit Card Master Trust
    Series 1996-4, Class A                          6.73+      02/15/03                $ 5,625               $ 5,669,522
                                                                                                   ----------------------
 FirstPlus Home Loan Owner
    Series 1998-2, Class A2                         6.23       06/10/10                 10,000                10,028,850
                                                                                                   ----------------------
 Green Tree Financial Corporation
    Series 1998-A, Class A1                         6.00       06/15/29                  8,762                 8,752,648
    Series 1998-B, Class A                          6.13       11/15/29                  4,424                 4,426,983
    Series 1996-5, Class A4                         7.15       07/15/27                  4,500                 4,620,623
                                                                                                   ----------------------
                                                                                                   ----------------------
                                                                                                              17,800,254
                                                                                                   ----------------------

 IMC Home Equity Loan Trust
    Series 1997-3, CTF Class                        7.14       09/20/23                  5,000                 5,144,625
                                                                                                   ----------------------
 MBNA Master Credit Card Trust
    Series 1996-M, CTF Class                        5.82+      04/15/09                  5,000                 5,001,175
                                                                                                   ----------------------
 The Money Store Home Equity Trust
    Series 1998-A, Class A                          6.36       07/15/07                  4,510                 4,513,359
                                                                                                   ----------------------
 Neiman Marcus Group Credit Card Master Trust
    Series 1995-1, CTF Class A                      7.60       06/15/03                 15,000                15,465,844
                                                                                                   ----------------------

 Total Asset-Backed Securities
        ( Cost -   $ 62,877,876  )                                                                            63,623,629
                                                                                                   ----------------------

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

 COLLATERALIZED MORTGAGE OBLIGATIONS - 16.3%
 Commercial Mortgage Acceptance Corporation
    Series 1996-C1, Class A                         7.10+      12/25/20                  6,232                 6,223,362
                                                                                                   ----------------------
 DLJ Mortgage Acceptance Corporation
    Series 1995-CF2, Class A1A                      6.65       12/17/27                  9,890                10,008,436
    Series 1993-MF10, Class A2                      7.20       07/15/03                  8,712                 9,028,066
                                                                                                   ----------------------
                                                                                                              19,036,502
                                                                                                   ----------------------
 First Boston Mortgage Securities Corporation
    Series 1993-M1, Class 1A                        6.75       09/25/06                 24,143                24,809,972
                                                                                                   ----------------------
 GMAC Commercial Mortgage Securities, Inc.
    Series 1997-C2, Class A3                        6.57       11/15/07                 16,000                16,356,720
                                                                                                   ----------------------
 Merrill Lynch Mortgage Investors, Inc.
    Series 1995-C1, Class A                         7.10+      05/25/15                  5,314                 5,451,806
                                                                                                   ----------------------
 Prudential Home Mortgage Securities Co., Inc.
    Series 1993-61, Class A5, PAC-2                 6.50       12/26/07                  1,863                 1,868,871
                                                                                                   ----------------------

 Total Collateralized Mortgage Obligations
        ( Cost -   $ 72,999,544  )                                                                            73,747,233
                                                                                                   ----------------------

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


 MUNICIPAL ZERO COUPON SECURITY - 0.2%
 Kansas
 Kansas City, Kansas, Utility System
    Revenue Bonds, AMBAC
        ( Cost -    $ 901,669    )               (a)          03/01/00                    985                   917,576
                                                                                                   ----------------------

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

 REPURCHASE AGREEMENT - 0.3%
 Dated 05/29/98, with State Street Bank and Trust Company;
    proceeds: $1,160,483; collateralized by $1,095,000
    U.S. Treasury Note, 6.500%,  due 11/15/26, value: $1,187,800
        ( Cost -   $ 1,160,000   )                  5.00       06/01/98                 $1,160                $1,160,000
                                                                                                   ----------------------

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

 TOTAL INVESTMENTS - 142.8%
        ( Cost -  $ 634,301,317  )                                                                           644,746,681
                                                                                                   ----------------------

 Liabilities in Excess of Other Assets - (42.8%)                                                            (193,182,533)
                                                                                                   ----------------------

 NET ASSETS - 100.0%                                                                                       $ 451,564,148
                                                                                                   ======================


 ------------------------------------------------------------------------------------------------------------------------
</TABLE>



      @   - Portion of or entire  principal  amount  delivered as collateral for
          reverse repurchase agreements (Note 5)
      + - Variable Rate Security: Coupon rate is rate in effect at May 31, 1998
    (a) - Zero Coupon Bond.  Interest rate represents yield to maturity.
  AMBAC - American Municipal Bond Assurance Corporation

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




- -------------------------------------------------------------------------------
HYPERION 1999 TERM TRUST, INC.
Statement of Assets and Liabilities
May 31, 1998 (unaudited)


- --------------------------------------------------------------------------------
<TABLE>
<S>                                                                   <C>

Assets:
Investments, at value (cost $634,301,317) (Note 2).......................$........644,746,681
Interest receivable.................................................................4,991,491
Prepaid expenses .....................................................................367,694
                                                                         ---------------------
              Total assets........................................................650,105,866
                                                                         ---------------------

Liabilities:
Reverse repurchase agreements (Note 5)............................................198,043,250
Interest payable for reverse repurchase agreements (Note 5)...........................285,357
Bank overdraft.................................................................       137,590
Accrued expenses and other liabilities ................................................75,521
                                                                         ---------------------
            Total liabilities.....................................................198,541,718
                                                                         ---------------------

Net Assets (equivalent to $7.36 per share based on 61,358,339 shares
outstanding).................                                            $        451,564,148
                                                                         =====================

Composition of Net Assets:
Capital stock, at par (Note 6)........... ...............................$............613,583
Additional paid-in capital (Note 6)...............................................580,123,157
Undistributed net investment income................................................13,799,989
Accumulated net realized losses..................................................(153,417,945)
Net unrealized appreciation........................................................10,445,364
                                                                         ---------------------
                                                                           ===================
Net assets applicable to capital stock outstanding.......................$........451,564,148
                                                                           ===================
</TABLE>

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


<TABLE>
<S>                                                                        <C>

- -----------------------------------------------------------------------------------------------
Hyperion 1999 Term Trust, Inc.
Statement of Operations
For the Six Months Ended May 31, 1998 (unaudited)


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

Investment Income (Note 2):
          Interest...........................................................$......21,554,796
                                                                             ------------------

Expenses:
          Investment advisory fee (Note 3)...........................................1,124,022
          Administration fee (Note 3)..................................................313,395
          Insurance....................................................................111,460
          Custodian.....................................................................57,584
          Reports to shareholders.......................................................40,598
          Transfer agency...............................................................29,683
          Accounting and tax services...................................................28,800
          Registration..................................................................26,827
          Legal..........................................................................7,424
          Directors' fees...............................................................23,505
          Miscellaneous.................................................................23,128
                                                                             ------------------
                   Total operating expenses..........................................1,786,426
          Interest expense (Note 5)..................................................6,133,670
                                                                             ------------------
                   Total expenses....................................................7,920,096
                                                                             ------------------
          Net investment income.....................................................13,634,700
                                                                             ------------------

Realized   and Unrealized Gains (Losses) on Investments,  Futures and Short Sale
           Transactions (Notes 2 and 4):
Net realized gains (losses) on:
          Investment and short sale transactions ....................................6,315,656
          Futures transactions........................................................(139,017)
                                                                               ----------------
                                                                                     6,176,639
                                                                               ----------------

Net change in unrealized appreciation on investments..........................      (2,225,306)
                                                                               ----------------

Net realized and unrealized gain on investments, futures and
short sale transactions.............................................                 3,951,333
                                                                             ------------------
Net increase in net assets resulting from operations.........................$......17,586,033.
                                                                             ==================
- ----------
See notes to financial statements.


</TABLE>

<TABLE>
<S>                                                                           <C>                                  <C>


- -----------------------------------------------------------------------------------------------------------------------------------
Hyperion 1999 Term Trust, Inc.
Statements of Changes in Net Assets                                                       For the Six Months
                                                                                             Ended                   For the Year
                                                                                            May 31,                      Ended
                                                                                              1998                   November 30,
                                                                                          (unaudited)                    1997
- -----------------------------------------------------------------------------------------------------------------------------------



Increase in Net Assets Resulting from Operations:
      Net investment income...................................................$...........13,634,700......$..........29,200,850
      Net realized gain on investment, written options, futures and short
          sale transactions................................................................6,176,639..................1,236,567
          and short sales................................................................(2,225,306)                (1,692,419)
                                                                              -----------------------   ------------------------
      Net increase in net assets resulting from operations................................17,586,033.................28,744,998
                                                                              -----------------------   ------------------------

Dividends to Shareholders:
      Net investment income..............................................................(13,052,887)........       (27,436,642)
                                                                              -----------------------   ------------------------

Capital Stock Transactions (Note 6):
      Cost of Trust shares repurchased and retired........................................(1,315,955)................(8,477,023)
                                                                              -----------------------   ------------------------

                Total increase/(decrease) in net assets....................................3,217,191.................(7,168,667)

Net Assets:
      Beginning of period................................................................448,346,957................455,515,624
                                                                              -----------------------   ------------------------
      End of period (including undistributed net investment income
           of $13,799,989 and $13,218,176, respectively)......................$..........451,564,148      $         448,346,957
                                                                              =======================   ========================
- ----------
See notes to financial statements.




</TABLE>

<TABLE>
<S>                                                                             <C>


- -------------------------------------------------------------------------------
HYPERION 1999 TERM TRUST, INC.
Statement of Cash Flows
For the Six Months Ended May 31, 1998 (unaudited)


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

Increase (Decrease) in Cash:

Cash flows provided by operating activities:
    Interest received (excluding net amortization of $ 1,099,970).................$.........21,239,406
    Interest expense paid...................................................................(6,349,726)
    Operating expenses paid.................................................................(2,392,683)
    Proceeds from sale of short-term portfolio investments, including options,
    net......................                                                                   650,242
    Purchases and short covers of long-term portfolio investments.........................(210,343,550)
    Proceeds from disposition of long-term portfolio investments, short sales
          and principal paydowns...........................................................224,683,134
   Net cash used for futures transactions............................................         (139,017)
                                                                                    -------------------
   Net cash provided by operating activities................................................27,347,806
                                                                                    -------------------

Cash flows used for financing activities:
    Net cash used for reverse repurchase agreements........................................(13,117,126)
    Cash dividends paid....................................................................(13,052,887)
    Cash used to repurchase and retire Trust shares...................................      (1,315,955)
                                                                                    -------------------
    Net cash used for financing activities.................................................(27,485,968)
                                                                                    -------------------

Net decrease in cash..........................................................................(138,162)
Cash at beginning of year..........................................................................572
                                                                                    -------------------
Cash at end of year...............................................................$...........(137,590)
                                                                                    ===================

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..............................$.........17,586,033..
                                                                                    -------------------
    Increase in investments................................................................(17,537,089)
    Decrease in net unrealized appreciation on investments...................................2,225,306
    Increase in interest receivable............................................................(24,209)
    Decrease in other assets................................................................25,562,481
    Decrease in other liabilities.................................................            (464,716)
                                                                                    -------------------
          Total adjustments..................................................................9,761,773
                                                                                    -------------------

Net cash used for operating activities............................................$.........27,347,806
                                                                                    ===================

See notes to financial statements.

</TABLE>

<TABLE>
<S>                                              <C>                <C>               <C>              <C>                <C>




- ---------------------------------------------------------------             -------------------------------------------------------
Hyperion 1999 Term Trust, Inc.                      For the Six
Financial Highlights                               Months Ended      For the Year       For the Year    For the Year   For the Year
                                                      May 31,           Ended              Ended          Ended          Ended
                                                        1998           November 30,      November 30,    November 30,   November 30,
                                                      (unaudited)          1997               1996          1995            1994
- -----------------------------------------------------------------------------------------------------------------------------------

Per Share Operating Performance:
Net asset value, beginning of the period........... $            7.28  $         7.25  $        7.61   $           7.72  $     7.02
                                                    ---------------    ------------    -----------     --------------   ------------
Net investment income..................................          0.22            0.47           0.52               0.51        0.68
Net realized and unrealized gain (loss)
on investment, written option, futures
and short sale transactions...                                   0.07           (0.01)         (0.40)             (0.10)       0.58
                                                    ---------------    ------------    -----------     --------------   ------------
Net increase in net asset value resulting from
     operations............                                      0.29            0.46           0.12               0.41        1.26
                                                    ---------------    ------------    -----------     --------------   ------------
Net effect of shares repurchased........                         -               0.01           -                  -              -
Dividends from net investment income.....                       (0.21)          (0.44)         (0.48)             (0.52)     (0.56)
                                                    ---------------    ------------    -----------     --------------   ------------
Net asset value, end of period...............       $            7.36  $         7.28  $        7.25   $           7.61 $      7.72
                                                    ===============    ============    ===========     ==============   ============
Market price, end of period..........               $            7.000 $         6.875 $        6.50   $           6.50 $     6.875
                                                    ===============    ============    ===========     ==============   ============

Total Investment Return +........                              4.91(1)       12.90%         7.53%          1.91%         10.29%

Ratios to Average Net Assets/Supplementary Data:
Net assets, end of period (000s)...................       $451,564        $448,347       $455,516           $480,080       $487,264
Operating expenses.................                        0.79%(2)           0.81%          0.83%              0.96%          0.83%
Interest expense.................................          2.73%(2)           2.27%          2.27%              2.50%          1.69%
Total expenses.......................                      3.52%(2)           2.98%          3.10%              3.46%          2.52%
Net investment income..............................        6.06%(2)           6.57%          7.05%              6.55%          9.07%
Portfolio turnover rate............................            21%             50%           135%               473%           745%
- ----------------
+    Total investment  return is computed based upon the New York Stock Exchange
     market price of the Trust's  shares and excludes the effects of sales loads
     or
     brokerage commissions.
(1) Not Annualized.
(2) Annualized.

</TABLE>



- --------------------------------------------------------------------------------
HYPERION 1999 TERM TRUST, INC.
Notes to Financial Statements
May 31, 1998 (unaudited)
- --------------------------------------------------------------------------------


1.  The Trust:

Hyperion 1999 Term Trust, Inc. (the "Trust"),  which was incorporated  under the
laws of the State of Maryland on November  22,  1991,  is  registered  under the
Investment  Company  Act of 1940 (the "1940 Act") as a  diversified,  closed-end
management investment company. The Trust expects to distribute substantially all
of its net assets on or shortly  before  November  30,  1999 and  thereafter  to
terminate.

The Trust's investment  objectives are to provide a high level of current income
consistent  with  investing only in securities of the highest credit quality and
to return at least  $10.00  per share (the  initial  public  offering  price per
share) to  investors  on or  shortly  before  November  30,  1999.  The  Advisor
presently intends to manage the portfolio for the remaining term of the Trust in
a manner  that  attempts  to achieve  the  Trust's  objectives,  but there is no
assurance  that these  investment  objectives  can be  achieved;  indeed,  under
current  market  conditions  it will be  extremely  difficult  for the  Trust to
achieve its objective to return  $10.00 per share by its  scheduled  termination
date, November 30, 1999.

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,  Trust
securities  are valued based upon the current bid price for long  positions  and
the  current ask price for short  positions.  The Trust  values  mortgage-backed
securities ("MBS") and other debt securities for which market quotations are not
readily  available at their fair value as  determined  in good faith,  utilizing
procedures  approved  by the Board of  Directors  of the Trust,  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 Trust 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.

Options  Written  or  Purchased:  The Trust may write or  purchase  options as a
method of hedging potential declines in similar underlying securities.  When the
Trust writes or purchases an option,  an amount equal to the premium received or
paid by the Trust 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 Trust 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,  is also  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 Trust has realized a gain or
a loss on the investment transaction.

The  Trust,  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 Trust purchases or writes options to hedge against adverse market  movements
or fluctuations  in value caused by changes in interest  rates.  The Trust 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 loss.  The risk
associated  with  writing  call  options  is  that  the  Trust  may  forego  the
opportunity  for a  profit  if  the  market  value  of the  underlying  position
increases and the option is exercised. The Trust will only write call options on
positions  held in its  portfolio.  The risk in writing a put option is that the
Trust may incur a loss if the market value of the underlying  position decreases
and the option is exercised.  In addition, the Trust 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 Trust may make short sales of securities as a method of hedging
potential  declines in similar  securities  owned.  When the Trust makes a short
sale, it must borrow the security sold short and deliver it to the broker-dealer
through which it made the short sale as collateral for its obligation to deliver
the security  upon  conclusion  of the sale.  The Trust may have to pay a fee to
borrow the  particular  securities and may be obligated to pay over any payments
received on such borrowed securities.  A gain, limited to the price at which the
Trust sold the security short, or a loss, unlimited as to dollar amount, will be
recognized  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 Trust records a realized gain or loss
equal to the  difference  between  the  proceeds  from (or cost of) the  closing
transaction and the Trust's basis in the contract.

The Trust  invests in financial  futures  contracts to adjust the  portfolio for
fluctuations  in value caused by changes in prevailing  market  interest  rates.
Should  interest  rates  move  unexpectedly,  the  Trust  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  Trust is at risk  that it may not be able to  close  out a
transaction because of an illiquid secondary market.

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 certain securities are
accreted and amortized using the effective yield to maturity method.

Taxes: It is the Trust'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 Trust declares and pays dividends monthly from
net investment income.  Distributions of net 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 Trust 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.

Cash Flow Information: The Trust 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  and  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 Trust, 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.   Hyperion  Capital  Management,   Inc.  (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 Trust may be delayed or limited.

3.  Investment Advisory and Administration Agreements:

The Trust has entered into an Investment  Advisory  Agreement  with the Advisor.
The Advisor is  responsible  for the  management  of the Trust's  portfolio  and
provides  the  necessary  personnel,  facilities,  equipment  and certain  other
services necessary to the operations of the Trust. For such services,  the Trust
pays a monthly fee at an annual rate of 0.50% of the Trust's  average weekly net
assets.

The Trust has entered into an  Administration  Agreement  with Hyperion  Capital
Management,  Inc. (the  "Administrator").  The  Administrator has entered into a
sub-administration   agreement  with  Investors  Capital  Services,   Inc.  (the
"Sub-Administrator").    The   Administrator   and   Sub-Adminstrator    perform
administrative  services  necessary  for the  operation of the Trust,  including
maintaining  certain books and records of the Trust,  and preparing  reports and
other  documents  required  by federal,  state,  and other  applicable  laws and
regulations,  and provides the Trust with administrative office facilities.  For
these services,  the Trust pays to the  administrator a monthly fee at an annual
rate of 0.17% of the first  $100  million  of the  Trust's  average  weekly  net
assets,  0.145% of the next $150  million  and 0.12% of any  amounts  above $250
million.  During the six months ended May 31, 1998, the  Administrator  received
$313,395 in  Administration  fees. The Administrator is responsible for any fees
due the Sub-Administrator.


Certain  officers and/or directors of the Trust are officers and/or directors of
the Advisor, Administrator and Sub-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, 1998 were $55,754,201 and $6,015,720,  respectively. Purchases and
sales of U.S. Government securities,  for the six months ended May 31, 1998 were
$102,690,910 and $128,419,214, respectively. For purposes of this footnote, U.S.
Government  securities  include  securities  issued  by the U.S.  Treasury,  the
Federal Home Loan Mortgage  Corporation  and the  Government  National  Mortgage
Association.


5.  Borrowings:

The Trust may enter into  reverse  repurchase  agreements  with the same parties
with whom it may enter into repurchase  agreements.  Under a reverse  repurchase
agreement,  the  Trust  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 Trust 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 Trust 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 Trust may decline
below  the  price of the  securities  the  Trust  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
Trust's  obligation to  repurchase  the  securities,  and the Trust's use of the
proceeds of the reverse  repurchase  agreement  may  effectively  be  restricted
pending such decision.

At May 31,  1998,  the Trust had the  following  reverse  repurchase  agreements
outstanding:



<TABLE>
<S>                                                                             <C>

                                                                                 Maturity in
                                                                                Zero to 30 days

                 Maturity Amount, Including Interest Payable                    $198,625,404
                 Market Value of Assets Sold Under
                   Agreements...............................                     193,173,641

                 Weighted Average Interest Rate.............                            5.57%
                 --------------------------------------------------
</TABLE>

- --------------------------------------------------------------------------
The average daily balance of reverse  repurchase  agreements  outstanding during
the six months  ended May 31,  1998,  was  $217,502,380  at a  weighted  average
interest  rate of 5.66%.  The maximum  amount of reverse  repurchase  agreements
outstanding at any time during the six months was  $234,500,375,  as of February
10, 1998, which was 33.2% of total assets.

6.  Capital Stock:

There are 75 million  shares of $.01 par value common stock  authorized.  Of the
61,358,339 shares outstanding at May 31, 1998, the Advisor owned 25,639 shares.

The Trust is continuing its stock repurchase program, whereby an amount of up to
15% of the original  outstanding  common  stock,  or  approximately  9.5 million
shares,  are  authorized for  repurchase.  The purchase price may not exceed the
then-current net asset value.

As of May 31,  1998,  1,902,300  shares have been  repurchased  pursuant to this
program at a cost of  $12,812,926  and an average  discount of 6.6% from its net
asset value.  For the six months ended May 31,  1998,  186,000  shares have been
repurchased  at a cost of $1,315,955  and an average  discount of 4.30% from its
net asset value. For the year ended November 30, 1997, 1,265,500 shares had been
repurchased at a cost of $8,477,023, at an average discount of 6.23%. All shares
repurchased have been retired.

7.  Financial Instruments:

The Trust 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 and
futures  contracts  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 Trust 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.

There was no written option activity for the year ended May 31, 1998.

There were no open futures contracts at May 31, 1998.

8.  Litigation:

No litigation is currently  pending against the Trust. In 1993,  purported class
action  lawsuits were instituted  against the Trust and its directors,  officers
and  underwriters  by certain  shareholders  of the Trust in the  United  States
District Court,  Southern district of New York. The Advisor was later added as a
defendant.  The plaintiffs' second consolidated  amended complaint was dismissed
in July 1995 without leave to replead,  and the dismissal was upheld by the U.S.
Court of Appeals  for the Second  Circuit in  October  1996.  In June 1997,  the
United  States  Supreme  Court  denied  plaintiffs'   petition  for  a  writ  of
certiorari, and no further appeals are possible.


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

                        PROXY RESULTS (unaudited)

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

During the six months ended May 31, 1998, Hyperion 1999 Term Trust, Inc.
shareholders voted on the following proposals at a shareholders meeting
on April 21, 1998.  The description of each proposal and number of
shares voted are as follows:
<TABLE>
<S>                                         <C>                  <C>               <C>

- ------------------------------------------ --------------------- ----------------- -------------------
                                                                  Shares Voted      Shares Voted
                                                                       For        Without Authority
- ------------------------------------------ --------------------- ----------------- -------------------

1. To elect the members to the Trust's Board of Directors:
                                           Harry E. Petersen Jr.    45,673,281           979,825
                                           Leo M. Walsh Jr.         45,689,950           963,156

- ------------------------------------------ --------------------- ----------------- -------------------
</TABLE>



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

                     YEAR 2000 CHALLENGE (unaudited)

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


The Trust could be adversely  affected if computers used by the Trust's  service
providers do not properly process  information  dated January 1, 2000 and after.
The Trust's  service  providers are taking steps to address Year 2000 risks with
respect to computer systems on which the Trust depends.  At this time,  however,
there can be no  assurance  that  these  steps will be  sufficient  to avoid any
adverse impact on the Trust.



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

                        DIVIDEND REINVESTMENT PLAN

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

A Dividend  Reinvestment  Plan (the "Plan") is available to  shareholders of the
Trust  pursuant to which they may elect to have all dividends and  distributions
of capital gains automatically reinvested by State Street Bank and Trust Company
(the "Plan Agent") in Trust 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 Trust's  Custodian,  as Dividend  Disbursing
Agent.

The Plan Agent serves as agent for the shareholders in  administering  the Plan.
After the  Trust  declares  a  dividend  or  determines  to make a capital  gain
distribution,  payable in cash,  the  participants  in the Plan will receive the
equivalent  amount in Trust shares  valued at the market price  determined as of
the  time  of  purchase  (generally,   the  payment  date  of  the  dividend  or
distribution).  The Plan  Agent  will,  as agent for the  participants,  use the
amount otherwise payable as a dividend to participants to buy 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 increases, the average per share purchase price paid by the Plan Agent may
exceed  the  market  price  of the  shares  at the time  the  dividend  or other
distribution was declared. Share purchases under the Plan may have the effect of
increasing demand for the Trust's shares in the secondary market.

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 Trust.  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.

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 Trust,  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.

A brochure  describing the Plan is available  from the Plan Agent,  State Street
Bank and Trust Company, by calling 1-800-426-5523.

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.

<TABLE>
<S>                 <C>       <C>          <C>    <C>          <C>        <C>        <C>    <C>       <C>     <C>       <C>


- -------------------------------------------------------------------------------------------------------------------------
Hyperion 1999 Term Trust, Inc.
Selected Quarterly Financial Data
(unaudited)

- -------------------------------------------------------------------------------------------------------------------------
                                               Net realized and
                                               unrealized gains (losseNet increase
                                                on investment, writ(decrease) in net
                             Net investment    option, futures and assets resulting from  Dividends and
                                 income        sale transactions       operations         distributions     Share price
                             ----------------  ------------------  -------------------  ------------------  -------------
                     Total                 Per                   Per                   Per                Per
Quarter ended       income       Amount    share   Amount       share      Amount     share*   Amount    share    High    Low
- -------------------------------------------------------------------------------------------------------------------------

June 26, 1992**
 to August 31, 1992$ 8,539,531   7,129,13$  $0.11  (19,306,33$)   (0.30)  (12,177,195$  (0.19)  4,219,485   $0.07     10 3/8   $10

November 30, 1992   16,580,93  12,842,733    0.21  (22,483,352)   (0.36)   (9,640,619)  (0.15)  12,658,452   0.20     10 3/4 8 7/8

February 28, 1993   14,278,32  10,642,860    0.17  (31,400,517)   (0.50)  (20,757,657)  (0.33)  12,658,452   0.20     10     9

May 31, 1993        13,647,04  10,562,767    0.17   (5,780,313)   (0.09)    4,782,454    0.08   12,658,452   0.20     9 3/4  8 3/4

August 31, 1993     11,325,31   8,412,983    0.13  (27,675,828)   (0.44)  (19,262,845)  (0.31)  11,861,350   0.19     8 7/8  7 1/2

November 30, 1993   18,307,26  15,895,853    0.25  (44,953,480)   (0.70)  (29,057,627)  (0.45)   9,356,249   0.15     8 1/4  6 3/8

February 28, 1994   14,880,60  12,231,574    0.19   12,367,705     0.20    24,599,279    0.39    8,299,440   0.13     7      6 1/4

May 31, 1994        15,469,46  12,626,698    0.20   17,800,528     0.28    30,427,226    0.48    8,296,179   0.13     7 3/8  6 3/4

August 31, 1994     7,142,378   9,904,737    0.16  (36,250,648)   (0.57)  (26,345,911)  (0.41)   9,082,485   0.15     7 1/4  6 1/2

November 30, 1994   17,379,62   8,190,924    0.13   42,523,788     0.67    50,714,712    0.80    9,472,210   0.15     7      6 3/8

February 28, 1995   12,898,23   9,029,349    0.14    6,995,260     0.11    16,024,609    0.25    8,940,494   0.14     7      6 1/2

May 31, 1995        12,240,73   7,744,298    0.12   14,747,914     0.24    22,492,212    0.36    8,677,288   0.14     7 3/8  6 5/8

August 31, 1995     12,848,38   8,727,012    0.14  (12,253,807)   (0.19)   (3,526,795)  (0.05)   7,888,401   0.12     7 1/2  6 3/4

November 30, 1995   11,433,97   6,825,146    0.11  (15,999,089)   (0.26)   (9,173,943)  (0.15)   7,493,924   0.12     7 1/8  6 1/2

February 29, 1996   12,730,20   8,716,948    0.14  (13,968,641)   (0.22)   (5,251,693)  (0.08)   7,493,976   0.12     6 7/8  6 3/8

May 31, 1996        12,153,47   8,523,188    0.13  (26,191,953)   (0.41)  (17,668,765)  (0.28)   7,493,890   0.12     6 5/8  6

August 31, 1996     10,994,97   7,631,546    0.12        9,748     0.00     7,641,294   (0.12)   7,493,949   0.12     6 1/2  6 1/8

November 30, 1996   10,505,72   7,350,161    0.13   15,350,953     0.23    22,701,114    0.36    7,489,268   0.12     6 5/8  6 1/4

February 28, 1997   10,831,59   7,618,503    0.12  (8,866,675)    (0.14)   (1,248,172)  (0.02)   7,430,297   0.12     6 5/8  6 3/8

May 31, 1997        10,465,87   7,325,626    0.12  (3,545,553)    (0.06)    3,780,073    0.06    6,863,056   0.11     6 1/2  6 3/8

August 31, 1997     10,378,73   7,001,939    0.11   7,787,460      0.12    14,789,399    0.23    6,574,399   0.11     6 13/166 1/2

November 30, 1997   10,770,77   7,254,782    0.12   4,168,916      0.07    11,423,698    0.19    6,568,890   0.10     6 7/8  6 11/16

February 28, 1998   11,078,60   7,043,407    0.11 (4,206,980)      (0.07)   2,836,427    0.04    6,533,033   0.11     7 1/16 6  7/8

May 31, 1998        10,476,19   6,591,293    0.11  8,158,313        0.13   14,749,606    0.24    6,519,854   0.11     7 1/8  6 15/16
</TABLE>


  *   Excludes net effect of shares repurchased.
**   Commencement of investment operations.

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

INVESTMENT ADVISOR AND ADMINISTRATOR         CUSTODIAN

HYPERION CAPITAL MANAGEMENT, INC.            STATE STREET BANK AND TRUST COMPANY
One Liberty Plaza                            225 Franklin Street
165 Broadway, 36th Floor                     Boston, Massachusetts  02116
New York, New York  10006-1404
For General Information about the Trust:     INDEPENDENT ACCOUNTANTS
(800) HYPERION
                                             PRICEWATERHOUSECOOPERS LLP
TRANSFER AGENT                               1177 Avenue of the Americas
                                             New York, New York  10036
BOSTON EQUISERVE, L.P.
Investor Relations Department                LEGAL COUNSEL
P.O. Box 8200
Boston, Massachusetts  02266-8200            SULLIVAN & WORCESTER LLP
For Shareholder Services:                    1025 Connecticut Avenue, N.W.
(800) 426-5523                               Washington, D.C.  20036

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



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

Kenneth C. Weiss
Chairman

Lewis S. Ranieri
Director

Rodman L. Drake*
Director

Leo M. Walsh, Jr.*                                        
Director                                                    

Harry E. Petersen, Jr.*
Director

Patricia A. Sloan
Director & Secretary

Garth Marston
Director Emeritus

Clifford E. Lai
President

Patricia A. Botta
Vice President

Thomas F. Doodian
Treasurer

* Audit Committee Members


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



- ------------------------------------
The accompanying  financial  statements as of May 31, 1998 were not audited and,
accordingly, no opinion is expressed on them.

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

                     Hyperion 1999 Term Trust, Inc.
                          One Liberty Plaza
                     165 Broadway, 36th Floor
                     New York, NY  10006-1404





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<NAME> HYPERION 1999 TERM TRUST, INC.
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   <NAME> HYPERION 1999 TERM TRUST, INC.
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