FEDERATED HIGH INCOME BOND FUND INC
24F-2NT, 1996-05-15
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                    U.S. SECURITIES AND EXCHANGE COMMISSION
                             Washington, DC  20549

                                   FORM 24F-2
                        ANNUAL NOTICE OF SECURITIES SOLD
                             PURSUANT TO RULE 24F-2

            Read instructions at end of Form before preparing Form.
                             Please print or type.


1.   Name and address of issuer:
               Federated High Income Bond Fund, Inc.
               Federated Investors
               Federated Investors Tower
               Pittsburgh, Pennsylvania 15222-3779


2.   Name of each series or class of funds for which this
notice is filed:
            Federated High Income Bond Fund, Inc.



3.   Investment Company Act File Number:
                                       811-2782
     Securities Act File Number:
                                         2-60103

4.   Last day of fiscal year for which this notice is filed:
                                   March 31, 1996


5.   Check box if this notice is being filed more than 180
     days after the close of the issuer's fiscal year for

     purposes of reporting securities sold after the close
     of the fiscal year but before termination of the
     issuer's 24f-2 declaration:

                                                  [   ]


6.   Date of termination of issuer's declaration under rule
     24f-2(a)(1), if applicable:



7.   Number and amount of securities of the same class or
     series which had been registered under the Securities
     Act of 1933 other than pursuant to rule 24f-2 in a
     prior fiscal year, but which remained unsold at the
     beginning of the fiscal year:
                                              0; $0


8.   Number and amount of securities registered during the
     fiscal year other than pursuant to rule 24f-2:
                                              0; $0


9.   Number and aggregate sale price of securities sold
     during the fiscal year (includes DRIP shares):
                            35,310,036; $396,361,527

10.  Number and aggregate sale price of securities sold
     during the fiscal year in reliance upon registration
     pursuant to rule 24f-2:
                                 35,310,036; $396,361,527


11.  Number and aggregate sale price of securities issued
     during the fiscal year in connection with dividend
     reinvestment plans, if applicable:


12.  Calculation of registration fees:

     (i)  Aggregate sale price of securities sold during the
          fiscal year in reliance on rule 24f-2 (from Item
          10):   $           396,361,527
     (ii) Aggregate price of shares issued in connection
          with dividend reimbursement plans
          (from Item 11, if applicable)      +
     (iii)Aggregate price of shares redeemed or repurchased
          during the fiscal year (if applicable)-
          104,989,711
     (iv) Aggregate price of shares redeemed or repurchased
          and previously applied as a reduction to filing
          fees pursuant to rule 24e-2 (if applicable) +  0
     (v)  Net aggregate price of securities sold and issued
          during the fiscal year in reliance on rule 24f-2
          [line (i), plus line (ii), less line (iii), plus
          line (iv)] (if applicable):        291,371,816
     (vi) Multiplier prescribed by Section 6(b) of the
          Securities Act of 1933 or other applicable law or
          regulation (see Instruction C.6):  x  1/2900
     (vii)Fee due [line (i) or line (v) multiplied by line

          (vi)]:      $    100,473

Instruction:Issuers should complete lines (ii), (iii), (iv),
          and (v) only if the form in being filed within 60
          days after the close of the issuer's fiscal year.
          See Instruction C.3.

13.  Check box if fees are being remitted to the
     Commission's lockbox depository as described in section
     3a of the Commission's Rules of Informal and Other
     Procedures
     (17 CFR 202.3a).
                                                  [  ]

     Date of mailing or wire transfer of filing fees to the
Commission's lockbox depository:
                                 May 15, 1996


                         SIGNATURES

This report has been signed below by the following persons
on behalf of the issuer and in the capacities and on the
dates indicated.

By (Signature and Title)*
                    Charles H. Field
                    Assistant Secretary

Date:                              May 15, 1996

 *  Please print the name and title of the signing officer
                    below the signature.




   FEDERATED ADMINISTRATIVE
             SERVICES

                                          FEDERATED INVESTORS TOWER
                                          PITTSBURGH, PA 15222-3779
                                          412-288-1900

                                          May 15, 1996


Federated High Income Bond Fund, Inc.
(formerly:  Liberty High Income Bond Fund, Inc.)
Federated Investors Tower
Pittsburgh, PA  15222-3779

Gentlemen:

     You have requested my opinion for use in conjunction with a Rule 24f-2
Notice for Federated High Income Bond Fund, Inc.  (formerly:  Liberty High
Income Bond Fund, Inc.) ("Corporation") to be filed in respect of shares of
the Corporation ("Shares") sold for the fiscal year ended March 31, 1996,
pursuant to the Corporation's registration statement filed with the
Securities and Exchange Commission ("SEC") under the Securities Act of 1933
(File No. 2-60103) ("Registration Statement").

     In its Registration Statement, the Corporation elected to register an
indefinite number of shares pursuant to the provisions of Investment Company
Act Rule 24f-2.

     As counsel I have participated in the preparation and filing of the
Corporation's amended Registration Statement under the Securities Act of
1933. Further, I have examined and am familiar with the provisions of the
Articles of Incorporation dated October 14, 1977, the Bylaws of the
Corporation and such other documents and records deemed relevant. I have also
reviewed questions of law and consulted with counsel thereon as deemed
necessary or appropriate by me for the purposes of this opinion.

     On the basis of the foregoing, it is my opinion the Shares sold for the
fiscal year ended March 31, 1996, registration of which the Rule 24f-2 Notice
makes definite in number, were legally issued, fully paid and non-assessable
by the Corporation.

     I hereby consent to the filing of this opinion as an exhibit to the Rule
24f-2 Notice referred to above, the Registration Statement of the Corporation
and to any application or registration statement filed under the securities
laws of any of the States of the United States.

     The foregoing opinion is limited to the Federal laws of the United
States and the laws of the State of Maryland, and I am expressing no  opinion
as to the effect of the laws of any other jurisdiction.


                                   Very truly yours,

                                   /s/ Charles H. Field
                                   Charles H. Field



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