ARCH COAL INC
5, 1999-01-26
BITUMINOUS COAL & LIGNITE SURFACE MINING
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                     U.S. SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                     FORM 5

               ANNUAL 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

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

[_]  Form 3 Holdings Reported

[_]  Form 4 Transactions Reported

________________________________________________________________________________
1.   Name and Address of Reporting Person*

Charpie                            Robert                   A.
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   (Last)                            (First)              (Middle)

55 Williams Street, Suite 240
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                                    (Street)

Wellesley                               MA                  02182
- --------------------------------------------------------------------------------
   (City)                            (State)                (Zip)
________________________________________________________________________________
2.   Issuer Name and Ticker or Trading Symbol

Arch Coal, Inc. (ACI)
________________________________________________________________________________
3.   IRS Identification Number of Reporting Person, if an Entity (Voluntary)

________________________________________________________________________________
4.   Statement for Month/Year

12/31/98
________________________________________________________________________________
5.   If Amendment, Date of Original (Month/Year)

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

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

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


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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.


                                                                          (Over)
(Form 5-07/98)

<PAGE>


FORM 5 (continued)

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

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


- ------------------------------------------------------------------------------------------------------------------------------------
Phantom Stock     1 for 1   3/16/98     A     33.669          (1)      (1) Common Stock  33.669 $26.313   33.669(2)   (D)
- ------------------------------------------------------------------------------------------------------------------------------------
Phantom Stock     1 for 1   3/31/98     A    500              (1)      (1) Common Stock 500     $27.00   500(2)       (D)
- ------------------------------------------------------------------------------------------------------------------------------------

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====================================================================================================================================
Explanation of Responses:
1.  Pursuant to the reporting person's election, phantom units were settled in cash upon the January 2 following the termination of
    such person's service as a director. 
2.  Totals exclude previously reported Arch Coal, Inc. phantom stock units, including those acquired with the same price 
    but on different acquisition dates.

/s/ Miriam Rogers Singer                                         1/26/99
- ---------------------------------------------            -----------------------
      **Signature of Reporting Person                             Date
    Miriam Rogers Singer for Robert A. Charpie
**   Intentional misstatements or omissions of facts constitute Federal Criminal
     Violations.

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

Note:  File three copies of this form, one of which must be manually signed.
       If space provided is insufficient, see Instruction 6 for procedure.


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