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



                      SECURITIES AND EXCHANGE COMMISSION
                           Washington, D.C.  20549



                                   FORM 8-K



                                CURRENT REPORT

                      Pursuant to Section 13 or 15(d) of
                     the Securities Exchange Act of 1934



                                March 4, 1997
Date of Report  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
                      (Date of earliest event reported)


                        CHRYSLER FINANCIAL CORPORATION
 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
            (Exact name of registrant as specified in its charter)


State of Michigan             1-5966 and 33-55789        38-0961430
 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(State or other jurisdiction   (Commission)          (IRS Employer
  of incorporation)               File No.)        Identification No.)


                27777 Franklin Rd., Southfield, Michigan 48034
               . . . . . . . . . . . . . . . . . . . . . . . . 
                   (Address of principal executive offices)

                                                               (810) 948-3067
Registrant's telephone number, including area code  . . . . . . . . . . . . .

This filing relates to Registration Statement No. 33-55789.



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Item 5.        Other Events.
               ------------

     Attached hereto as Exhibit 25.4 is the Form T-1 Statement of Eligibility
under the Trust Indenture Act of 1939, as amended, of The First National Bank
of Chicago,/(1)/  and, in  connection with the  proposed offering  of Premier
Auto Trust 1997-1,  Asset Backed Notes, Class  A-2, Class A-3, Class  A-4 and
Class B,  attached hereto as  Exhibit 99  are certain  materials prepared  by
Chrysler Financial Corporation that are required to be filed pursuant to  the
no-action letter dated May 20, 1994 issued by the staff of the Securities and
Exchange  Commission  (the  "Commission")   to  Kidder,  Peabody   Acceptance
Corporation-1, Kidder, Peabody & Co. Incorporated and Kidder Structured Asset
Corporation  and the no-action  letter dated February 15,  1995 issued by the
staff of the Commission to the Public Securities Association.


Item 7.        Financial Statements, Pro Forma Financial Information and
               ---------------------------------------------------------
               Exhibits.
               --------

     Listed  below  are   the  financial  statements,  pro   forma  financial
information and  exhibits,  if any,  filed as  a part  of this  Report.   The
exhibit numbers correspond with Item 601(b) of Regulation S-K.

     (a)  Financial statements of businesses acquired;

               None

     (b)  Pro forma financial information:

               None

     (c)  Exhibits:

               Exhibit 25.4

               Exhibit 99



_________________________

(1)  Certain exhibits  to Form T-1  are incorporated by reference  to Exhibit
     25.1 of the Registration Statement on Form S-3 of SunAmerica Inc., filed
     on October 25, 1996 (File No. 333-14201).




                                  SIGNATURES
                                  ----------

     Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant  has duly  caused this report  to be  signed on its  behalf by the
undersigned hereunto duly authorized.

                              CHRYSLER FINANCIAL CORPORATION



Date:  March 4, 1997          By: /s/ Byron C. Babbish 
                                  --------------------------
                                  Byron C. Babbish
                                  Assistant Secretary




                                EXHIBIT INDEX
                                -------------


Exhibit
  No.                       Description of Exhibit
- -------                    ----------------------

  25.4    Form T-1 Statement of Eligibility  under the Trust Indenture Act of
          1939, as amended, of The First National  Bank of Chicago.  (Certain
          exhibits to Form T-1 are  incorporated by reference to Exhibit 25.1
          of Registration Statement on Form  S-3 of SunAmerica Inc., filed on
          October 25, 1996 (File No. 333-14201).)

  99      Materials prepared by Chrysler Financial Corporation  in connection
          with Premier  Auto Trust  1997-1 pursuant  to the no-action  letter
          dated  May  20, 1994  issued  by the  staff  of the  Securities and
          Exchange   Commission    (the   "Commission")  to  Kidder,  Peabody
          Acceptance Corporation-1,  Kidder, Peabody  & Co.  Incorporated and
          Kidder  Structured Asset Corporation and the no-action letter dated
          February 15, 1995  issued by  the staff  of the  Commission to  the
          Public Securities Association.