Filed Pursuant to Rule 424(b)(3)
                                    Registration Nos. 33-64179 and 333-49647

PRICING SUPPLEMENT NO. 10, dated October 14, 1998
(To Prospectus dated April 27, 1998 and Prospectus Supplement 
dated July 2, 1998)
(CUSIP No. 17120Q H95)

                                  $5,000,000,000
                          Chrysler Financial Corporation
                            Medium-Term Notes, Series S
                                 Fixed Rate Notes
                      Due 9 Months or More From Date of Issue


Principal Amount:     $125,000,000

Issue Price:          $125,000,000

Original Issue Date:  October 19, 1998

Stated Maturity:      October 19, 2000

Interest Rate:        5.25%

Interest Payment Dates: March 15 and September 15

Specified Currency:       U.S. Dollars
     (If other than U.S. Dollars, see attachment hereto)

Option to Receive Payments in Specified Currency:  [ ] Yes   [ ] No
     (Applicable only if Specified Currency is other than U.S. Dollars)

Authorized Denominations: 
     (Applicable only if Specified Currency is other than U.S. Dollars)

Redemption:    [X] The Notes cannot be redeemed prior to maturity.
               [ ] The Notes may be redeemed prior to maturity.

Initial Redemption Date:

The Redemption Price shall initially be      % of the principal amount of the
Notes to be redeemed and shall decline at each anniversary of the initial
Redemption Date by     % of the principal amount to be redeemed until the
Redemption Price is 100% of such principal amount.

Repayment:     [X] The Notes cannot be repaid prior to maturity.
               [ ] The Notes can be repaid prior to maturity at the option of
                   the holder of the Notes.

Optional Repayment Date(s):

Repayment Price:

Discount Notes:     [ ] Yes   [X] No

     Total Amount of OID:
     Yield to Maturity:
     Initial Accrual Period OID:

Agent's Discount or Commission:  0.175%
Agent's Capacity:   [X] Agent   [ ] Principal

Net proceeds to Company (if sale to Agent as principal): 

Agent:    [ ] Merrill Lynch & Co.  [ ] Salomon Smith Barney
          [X] J.P. Morgan & Co.    [ ] Other: