READING & BATES CORP
424B3, 1996-06-17
DRILLING OIL & GAS WELLS
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                                                               Rule 424(b)(3)
                                                                     33-62727

                    SUPPLEMENT NUMBER 3 DATED JUNE 17, 1996
                     TO PROSPECTUS DATED SEPTEMBER 26, 1995

                          READING & BATES CORPORATION

                                  Common Stock

        The Prospectus dated  September 26, 1995 is  hereby supplemented  by
  the  addition  of  the following  information  under the  caption "SELLING
  STOCKHOLDERS" therein.

        Set forth  below are  the  names of  each Selling  Stockholder,  the
  number of shares of Common Stock owned as of June 14, 1996 by each Selling
  Stockholder, the  number of  Shares which may  be offered  by each Selling
  Stockholder, the  number of shares of  Common Stock  to be  owned by  each
  Selling Stockholder  upon completion  of the  offering contemplated hereby
  and the percentage  of total shares of  Common Stock outstanding  owned by
  each  Selling Stockholder  upon  completion of  the  offering contemplated
  hereby. 

<TABLE>
<CAPTION>
                                                                  Percent
                                                                  of total
                                Number of         Number of        shares
                              shares which         shares       outstanding
                    Number   may be offered       owned if       owned upon
  Selling           shares     pursuant to       all shares      completion
  Stockholder      owned(1)  this Prospectus   are sold (1)(2)  of offering
  -----------     ---------  ---------------   ---------------  -----------
  <S>              <C>           <C>             <C>              <C>
  Greenwing
   Investments,
   Inc. (3)           25,220        25,220               0          *
  Greenwing
   Ltd. (3)          494,780       494,780               0          *
  John Hancock
   Mutual Life 
   Insurance
   Company(4)      3,909,924     1,594,756       2,315,168        3.72%
  Knights of
   Columbus           59,857        32,000          27,857          *
  Pan-American
   Life Insurance
   Company            69,259        40,000          29,259          *
  Chemical
   Investments,
   Inc. (3)        1,527,309     1,527,309               0          *
  WHR Management
   Company, L.P.(5)   30,000        30,000               0          *
  Workships
   Intermediaries,
   N.V. (3)          303,168       303,168               0          *
                   ---------     ---------       ---------        -----
      Total:       6,419,517     4,047,233       2,372,284        3.72%
                   =========     =========       =========        =====
  _______________________
  * Less than one percent  
<FN>
 (1)  Includes shares of Common Stock as  to which such Selling  Stockholder
      is  the  "beneficial owner"  as  defined  in Rule  13d-3    under  the
      Exchange Act,  except that  (i) shares  of Common  Stock which may  be
      deemed, pursuant to such  Rule, to be beneficially  owned by more than
      one Selling Stockholder are included only for the Selling  Stockholder
      which  may  currently offer  and  sell  such  Shares  pursuant to  the
      Registration Statements and (ii) securities,  if any, that may be held
      by a  Selling Stockholder or  its affiliates  in investment  accounts,
      trust   accounts,  custody   accounts   or  other   similar  fiduciary
      capacities are excluded from the above table.

 (2)  Assumes no other acquisition of shares of Common  Stock after the date
      of this Prospectus.  

 (3)  Based upon information contained  in a Schedule 13D,  as amended as of
      March 7,  1995,  which was  filed  by  BCL Investment  Partners,  L.P.
      ("BCL")  and the  other reporting  persons (the  "Reporting  Persons")
      named therein,  and upon  certain other information  available to  the
      Company,  effective November  14, 1994, the  partners of  BCL voted to 
      dissolve  BCL, and BCL  distributed to  its partners substantially all
      of  its assets, including  60,250 shares of  Common Stock  held by it.
      In  addition,  BCL conveyed  20,000  shares  of  Common  Stock of  the
      Company  to Greenwing  Investments, Inc. ("Greenwing"), to  be held in
      trust to satisfy  liabilities of BCL.   To the extent any such  shares
      remain after Greenwing  determines that  all liabilities  of BCL  have
      been  discharged or  provided  for,  such  remaining  shares  will  be
      distributed  to the  former partners  of  BCL  in proportion  to their
      ownership interests in BCL.  The  Schedule 13D states that as a result
      of such distribution and dissolution, BCL  no longer holds any  shares
      of Common  Stock  in  its name  and the  Reporting  Persons ceased  to
      constitute or  act as  a  group  with respect  to their  ownership  of
      shares of  Common  Stock.   Based  upon  the  Schedule 13D  and  other
      information available to  the Company,  the Company believes that  Dr.
      Macko  Laqueur   (a  director  of   the  Company)  controls   Workship
      Intermediaries, N.V.  and Paul B.  Loyd, Jr.,  the Company's  chairman
      and  chief executive  officer, controls  Greenwing Ltd.  ("Ltd.")  and
      Greenwing.   Chemical  Investment, Inc.  is an  indirect  wholly-owned
      subsidiary of Chemical Banking Corporation.   Mr. Arnold L. Chavkin (a
      director  of  the  Company)  is  president  of  the  Chemical  Banking
      Corporation affiliate which controls Chemical Investments, Inc.  

 (4)  Based upon information contained in  a Schedule 13G, as  amended as of
      February  7,  1996,  filed  by  John  Hancock  Mutual  Life  Insurance
      Company, and upon certain other information  available to the Company.
      The Schedule 13G indicates that Hancock has the sole power  to direct
      the disposition  of 3,097,924 of  such shares of Common  Stock and the
      sole power to vote  3,097,924 of such shares  of Common Stock and that
      Hancock's  indirect wholly-owned  subsidiary, John  Hancock  Advisors,
      Inc., has the sole power to  direct the disposition of 812,000 of such
      shares of  Common Stock  and the  sole power  to vote 812,000  of such
      shares of  Common Stock.   

 (5)  Based upon information contained in  a Schedule 13D, as  amended as of
      October  30,  1995, as  filed  by  WHR  Management  Company, L.P.,  as
      general  partner  of R&B  Investment  Partnership,  L.P.  and  Whitman
      Heffernan  &  Rhein  Workout  Fund,  L.P.  ,  and  upon  certain other
      information  available to  the Company.      Pursuant to  an agreement
      between  the Company  and R&B  Investment Partnership,  L.P.,  certain
      compensation  and  benefits (including  an award  of 90,000  shares of
      restricted  Common  Stock  to  Mr.  Rhein  under  the  Company's  1992
      Long-Term Incentive Plan) are  payable to WHR Management Company, L.P.
      Such restricted stock award shares are  included in the shares  listed
      for such firm  in the table above,  and Mr. Rhein disclaims beneficial
      ownership of such shares.   
</TABLE>


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