IBM CREDIT CORP
424B3, 1999-01-25
FINANCE LESSORS
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                                        RULE 424(b)(3)
                                        REGISTRATION NO. 333-42755


                        PRICING SUPPLEMENT NO. 55
                    TO PROSPECTUS DATED January 9, 1998
                     (As Supplemented January 12, 1998)

                          
                         IBM CREDIT CORPORATION
                           MEDIUM-TERM NOTES
                           (Fixed Rate Note)
           (Due from 9 months to 30 years from date of issue)


Designation:  Fixed Rate               Original Issue Date:
  Medium Term Notes Due                  February 2, 1999
  February 2, 2004          


Principal Amount:  $25,000,000         Maturity Date:
                                         February 2, 2004


Issue Price (as a percentage of        Regular Record Dates:
Principal Amount):  100.00%            Fifteenth calendar day,
                                       whether or not a
                                       Business Day, prior to
                                       the corresponding    
                                       Interest Payment Date.  


Interest Rate: 5.50%                   Interest Payment Dates:
                                       Each February 2nd and August 2nd 
                                       commencing August 2nd, 1999 and
Redemption Provisions: Note is         ending on the Maturity date. 
redeemable at the option of
Company on each Interest Payment
Date occurring on or after
February 2nd, 2001.

Commission or Discount (as             Denominations: $1,000 and              
a percentage of Principal              integral multiples  of $1,000           
Amount): 0.00%                         in excess of such amount.


CUSIP:  449 22L 7M2                                                          


Form:[X] Book-Entry
     [ ] Certificated

<PAGE>

INTRODUCTION

     This is a Pricing Supplement.  It describes the Fixed Rate Notes
being issued under the Medium Note Program of IBM Credit Corporation.
This document adds to, or 'supplements' the description of the Notes
referred to in the accompanying Prospectus Supplement and Prospectus.
It does so by providing specific information about the Notes issued in
this particular transaction.  This Pricing Supplement also amends the 
Prospectus Supplement and Prospectus to the extent that the description
of the Notes in this Pricing Supplement is different from the terms 
which are set forth in the Prospectus Supplement and Prospectus.


INTEREST

     Interest on the Notes will be calculated based on a year of 360 days 
consisting of 12 months of 30 days each.

     If any payment of principal or interest is due on a day that is 
not a Business Day, that payment may be made on the next day which is
a Business Day. No additional interest will accrue as a result of the
delay in payment. For purposes of this offering, the term "Business Day"
means each day on which commercial banks and foreign exchange markets
settle payments in The City of New York. We have capitalized a number
of terms in this document.  If you do not see a definition for those 
terms in this document, those terms will have the meanings which we have 
already given to them in the Prospectus Supplement and the Prospectus.


REDEMPTION

     The Notes are redeemable by the Company on each Interest Payment
Date occurring on or after February 2, 2001 in whole but not in part,
on at least 30 days notice at a redemption price of 100% of the principal
amount thereof, plus accrued interest theron to the date of redemption.


PLAN OF DISTRIBUTION

     The Notes will be sold to Salomon Smith Barney Inc. at the Issue Price 
set forth at the top of this Pricing Supplement.  Salomon Smith Barney 
Inc., in turn, will resell the Notes to investors at varying prices, which 
prices may be subject to prevailing market conditions at the time of
resale.


Dated:  January 20, 1999

<PAGE>




















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