AMERICAN GENERAL FINANCE CORP
424B3, 1995-01-09
PERSONAL CREDIT INSTITUTIONS
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(713) 831-1933


                                                January 9, 1995



DELIVERY VIA EDGAR

Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, D.C.  20549-1004

      Re:         American General Finance Corporation ("Company")
                  Registration Statement No. 33-43534 
                  Pricing Supplement No. 81

Gentlemen:

      On  behalf  of the  Company,  an  indirect, wholly-owned  subsidiary  of
American  General  Corporation,  we  submit  herewith   for  filing  with  the
Securities  and Exchange Commission (the "Commission")  via EDGAR, pursuant to
Rule  424(b)(3)  of  the General  Rules  and  Regulations  promulgated by  the
Commission  under the Securities Act  of 1933, as  amended, Pricing Supplement
No. 81  dated January  5, 1995  to the  Company's Prospectus Supplement  dated
December 10,  1992  included as  a part  of  the above  captioned Registration
Statement.

      The Pricing  Supplement submitted herewith  has been marked  to indicate
(i)  that  it  is  being  filed  pursuant  to  Rule  424(b)(3)  and  (ii)  the
registration number to which it relates.

                                                Very truly yours,

                                                /s/ PAULA G. PAYNE

                                                Paula G. Payne
                                                Senior Counsel

Enclosures
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