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This announcement is not an offer to purchase or solicitation of offers to sell
Shares. The Offer is made only by the Offer to Purchase dated August 31, 2004,
and the related Letter of Transmittal. The Offer is not being made to, nor will
tenders be accepted from or on behalf of, holders of Shares in any jurisdiction
in which making or accepting the Offer would violate that jurisdiction's laws.



                       Hyperion Strategic Bond Fund, Inc.

                      Notice of Offer to Purchase for Cash
                  292,825 of its Issued and Outstanding Shares
                          at Net Asset Value Per Share

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



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          THE EXPIRATION DATE AND THE WITHDRAWAL DEADLINE FOR THE OFFER
   is 4:00 p.m., EASTERN TIME ON THURSDAY SEPTEMBER 30, 2004, UNLESS EXTENDED.
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     Hyperion  Strategic Bond Fund, Inc. (the "Fund") is offering to purchase up
to 292,825 of its issued and outstanding  shares of common stock par value $.001
per share (the "Shares") at a price equal to their net asset value ("NAV") as of
the close of business on the New York Stock  Exchange  on the  Expiration  Date,
September 30, 2004, unless extended,  upon the terms and conditions set forth in
the Offer to Purchase dated August 31, 2004 (the  "Offer").  The NAV on July 30,
was $6.83 per Share.

     The  purpose  of  the  Offer  is  to  provide   liquidity   to  the  Fund's
stockholders,  since the Fund's shares are not sold on a secondary  market.  The
Offer is not conditioned upon the tender of any minimum number of Shares.

     If more than 292,825  Shares are duly tendered  prior to the  expiration of
the Offer assuming no changes in the factors originally considered by the Fund's
Board of Directors  when it determined  to make the Offer,  the Fund will either
(1) extend its Offer  period,  if  necessary,  and increase the number of Shares
that the Fund is offering to  purchase  to an amount  which it believes  will be
sufficient  to  accommodate  the excess Shares  tendered,  as well as any Shares
tendered  during the extended Offer period,  or (2) purchase  292,825 Shares (or
such larger number of Shares sought), on a pro rata basis.

     Shares tendered pursuant to the Offer may be withdrawn at any time prior to
4:00 p.m.,  Eastern time on Thursday,  September  30, 2004,  unless the offer is
extended,  and, if not yet accepted for payment by the Fund,  Shares may also be
withdrawn after October 28, 2004.

     The information  required to be disclosed by paragraph (d)(1) of Rule 13e-4
under the Securities Exchange Act of 1934, as amended, is contained in the Offer
to Purchase and is incorporated herein by reference.

     The Offer to Purchase and the related  Letter of  Transmittal  for the Fund
contain important  information that should be read carefully before any decision
is made with respect to the Offer.

     Questions  and  requests  for  assistance  or for  copies  of the  Offer to
Purchase,  the  Fund's  Letter  of  Transmittal,  and  any  other  tender  offer
documents,  may be  directed to  Jennifer  Donovan at the address and  telephone
number  below.  Copies will be furnished  promptly at no expense to you and also
may be obtained by completing  and returning the coupon below to American  Stock
Transfer & Trust.

                                 1-800-HYPERION

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    Mail to: American Stock Transfer & Trust
             59 Maiden Lane
             New York, NY  10038

    Please send me Hyperion Strategic Bond Fund, Inc. Tender Offer materials

    Name__________________________Address__________________________________
    Business Phone _______________City  ___________________________________
    Home Phone ___________________ State_____________________Zip _________





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    August 31, 2004   Hyperion Capital Management, Inc.  [LOGO]
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