ACCEPTANCE INSURANCE COMPANIES INC
4, 1999-01-11
FIRE, MARINE & CASUALTY INSURANCE
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                     U.S. SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                     FORM 4

                  STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP

    Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934,
       Section 17(a) of the Public Utility Holding Company Act of 1935 or
               Section 30(f) of the Investment Company Act of 1940

[_]  Check box if no longer  subject of Section 16. Form 4 or Form 5 obligations
     may continue. See Instruction 1(b).

________________________________________________________________________________
1.   Name and Address of Reporting Person*

Nelson                             John                     P.
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   (Last)                           (First)             (Middle)

222 South 15th Street, Suite 600 North
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                                    (Street)

Omaha                                   NE             68102
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   (City)                           (State)              (Zip)


________________________________________________________________________________
2.   Issuer Name and Ticker or Trading Symbol


Acceptance Insurance Companies Inc.  (AIF)
________________________________________________________________________________
3.   IRS Identification Number of Reporting Person, if an Entity (Voluntary)



________________________________________________________________________________
4.   Statement for Month/Year

December 1998

________________________________________________________________________________
5.   If Amendment, Date of Original (Month/Year)


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6.   Relationship of Reporting Person to Issuer
     (Check all applicable)

     [_]  Director                             [_]  10% Owner
     [x]  Officer (give title below)           [_]  Other (specify below)

President/COO
_________________________________________________________________________
7.   Individual or Joint/Group Filing (Check applicable line)

     [x]  Form filed by one Reporting Person
     [_]  Form filed by more than one Reporting Person
________________________________________________________________________________

<PAGE>
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           Table I -- Non-Derivative Securities Acquired, Disposed of,
                             or Beneficially Owned
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<TABLE>
<CAPTION>
                                                                                                                6.
                                                                 4.                              5.             Owner-
                                                                 Securities Acquired (A) or      Amount of      ship
                                                    3.           Disposed of (D)                 Securities     Form:     7.
                                                    Transaction  (Instr. 3, 4 and 5)             Beneficially   Direct    Nature of
                                      2.            Code         ------------------------------- Owned at End   (D) or    Indirect
1.                                    Transaction   (Instr. 8)                   (A)             of Month       Indirect  Beneficial
Title of Security                     Date          ------------     Amount      or     Price    (Instr. 3      (I)       Ownership
(Instr. 3)                            (mm/dd/yy)     Code     V                  (D)             and 4)         (Instr.4) (Instr. 4)
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<S>                                   <C>            <C>      <C>    <C>         <C>    <C>      <C>            <C>       <C>

Common Stock                           12/30/98       J               (1) 18,032  A                   226        I         Trustee 
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Common Stock                           12/30/98       J               (1) 18,032  D                61,600        I         LLC 
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Common Stock                           12/30/98       J               (2)    184  A               240,148        D            
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Common Stock                           12/30/98       J               (2)    184  D                61,600        I         LLC
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Common Stock                           12/30/98       J               (3)    184  A                 3,884        I         Spouse   
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Common Stock                           12/30/98       J               (3)    184  D                61,600        I         LLC
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Common Stock                           12/30/98       J               (4) 17,806  A               240,148        D              
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Common Stock                           12/30/98       J               (4) 17,806  D                   226        I         Trustee
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(1) Transfer of shares from Nelson Ventures, LLC to John P. Nelson, Trustee of the John P. Nelson Irrevocable 
    Qualified Annuity Trust dated March 9, 1998.
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(2) Transfer of shares from Nelson Ventures, LLC to John P. Nelson.
- ------------------------------------------------------------------------------------------------------------------------------------
(3) Transfer of shares from Nelson Ventures, LLC to Anne E. Nelson.
- ------------------------------------------------------------------------------------------------------------------------------------
(4) Transfer shares from John P. Nelson, Trustee of John P. Nelson Irrevocable Qualified Annuity Trust dated March 9, 1998 
    to John P. Nelson. 
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====================================================================================================================================
</TABLE>
*    If the Form is filed by more than one Reporting Person, see Instruction
     4(b)(v).

Reminder: Report on a separate line for each class of securities beneficially
          owned directly or indirectly.

                            
                                                                        
(Form 4-07/98)

<PAGE>


FORM 4 (continued)

Table II -- Derivative Securities Acquired, Disposed of, or Beneficially Owned
         (e.g., puts, calls, warrants, options, convertible securities)

================================================================================
<TABLE>
<CAPTION>
                                                                                                                    10.     
                                                                                                          9.        Owner-  
                                                                                                          Number    ship    
                                                                                                          of        Form
                    2.                                                                                    Deriv-    of     
                    Conver-                    5.                              7.                         ative     Deriv-   11.    
                    sion                       Number of                       Title and Amount           Secur-    ative    Nature 
                    or                         Derivative    6.                of Underlying     8.       ities     Secur-   of     
                    Exer-             4.       Securities    Date              Securities        Price    Bene-     ity:     In-    
                    cise     3.       Trans-   Acquired (A)  Exercisable and   (Instr. 3 and 4)  of       ficially  Direct   direct 
                    Price    Trans-   action   or Disposed   Expiration Date   ----------------  Deriv-   Owned     (D) or   Bene-  
1.                  of       action   Code     of(D)         (Month/Day/Year)            Amount  ative    at End    In-      ficial 
Title of            Deriv-   Date     (Instr.  (Instr. 3,    ----------------            or      Secur-   of        direct   Owner- 
Derivative          ative    (Month/  8)       4 and 5)      Date     Expira-            Number  ity      Month     (I)      ship   
Security            Secur-   Day/     ------   ------------  Exer-    tion               of      (Instr.  (Instr.   (Instr.  (Instr.
(Instr. 3)          ity      Year)    Code V    (A)   (D)    cisable  Date     Title     Shares  5)       4)        4)       4)
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                 <C>      <C>      <C>  <C>  <C>   <C>    <C>      <C>      <C>       <C>     <C>      <C>       <C>      <C>


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====================================================================================================================================
</TABLE>
Explanation of Responses:


/s/ JOHN P. NELSON                                           January 11, 1999
- ---------------------------------------------            -----------------------
      **Signature of Reporting Person                             Date


**     Intentional misstatements or omissions of facts constitute Federal 
       Criminal Violations.

       See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).




                                                                         



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