ACCEPTANCE INSURANCE COMPANIES INC
4, 2000-06-09
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*

     McCarthy                      Michael                  R.
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   (Last)                           (First)             (Middle)

     One Pacific Place, Ste 450
     1125 South 103rd Street
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                                    (Street)
     Omaha                              NE             68124

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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

     May/2000

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


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

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

     Chairman
________________________________________________________________________________
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                          5/8/2000       P               20,000      A      3.97     983,810        I         *
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Common Stock                          5/10/2000      P               28,000      A      4.00     983,810        I         *
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Common Stock                          5/11/2000      P               22,600      A      4.00     983,810        I         *
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Common Stock                          5/12/2000      P               35,000      A      4.12     983,810        I         *
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Common Stock                          5/15/2000      P               19,400      A      4.06     983,810        I         *
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Common Stock                          5/16/2000      P                  100      A      4.00     983,810        I         *
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Common Stock                          5/19/2000      P                2,500      A      4.06     983,810        I         *
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*    The reporting person disclaims beneficial ownership of these securities,
     and this report shall not be deemed an admission that the reporting person
     is the beneficial owner of such securities for purposes of Sec. 16 or any
     other purpose. This disclaimer applies with respect to shares owned by
     McCarthy Group, Inc. and McCarthy & Company which have been previously
     reported by reporting person as being beneficially owned.
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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.




<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)
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<S>                 <C>      <C>      <C>  <C>  <C>   <C>    <C>      <C>      <C>       <C>     <C>      <C>       <C>      <C>


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


/S/ Michael R. McCarthy                                    June 9, 2000
---------------------------------------------            -----------------------
      **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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