BEAR STEARNS COMPANIES INC
424B3, 1997-03-17
SECURITY BROKERS, DEALERS & FLOTATION COMPANIES
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     PRICING SUPPLEMENT NO. 32                               Rule 424(b)(3)
     DATED: March 14, 1997                               File No. 333-17985
     (To Prospectus dated January 22, 1997
     and Prospectus Supplement dated January 22, 1997)


                                 $5,434,620,162
                         THE BEAR STEARNS COMPANIES INC.
                           MEDIUM-TERM NOTES, SERIES B
             WITH MINIMUM MATURITY OF NINE MONTHS FROM DATE OF ISSUE

      Principal Amount:            Floating Rate Notes  Book Entry Notes
      $10,000,000                  [x]                  [x]

      Original Issue Date:         Fixed Rate Notes     Certificated Notes
      March 17, 1997               [_]                  [_]


      Maturity Date: 
      March 17, 1998

      Option to Extend Maturity:   No  [x]

                                   Yes [_]   Final Maturity Date:

                                           Optional           Optional
                         Redemption        Repayment          Repayment
      Redeemable On      Price(s)          Date(s)            Price(s)
      -------------      --------          -------            --------

      N/A                N/A               N/A                N/A

     Applicable Only to Fixed Rate Notes:
     -----------------------------------

     Interest Rate:  

     Applicable Only to Floating Rate Notes:
     --------------------------------------

      Interest Rate Basis:                  Maximum Interest Rate: N/A

      [_]  Commercial Paper Rate            Minimum Interest Rate: N/A

      [_]  Federal Funds Rate               Interest Reset Date(s): *

      [_]  Treasury Rate                    Interest Reset Period: Monthly

      [_]  LIBOR Reuters                    Interest Payment Date(s): **

      [x]  LIBOR Telerate

      [_]  Prime Rate                       Interest Payment Period: Monthly

      [_]  CMT Rate

      Initial Interest Rate: 5.44875%

      Index Maturity:  One Month

      Spread (plus or minus): -0.02%
     --------------------------

     *    4/17/97, 5/19/97, 6/17/97, 7/17/97, 8/18/97, 9/17/97, 10/17/97,
          11/17/97, 12/17/97, 1/20/98 and 2/17/98.

     **   4/17/97, 5/19/97, 6/17/97, 7/17/97, 8/18/97, 9/17/97,  10/17/97,
     11/17/97, 12/17/97, 1/20/98, 2/17/98 and 3/17/98.

     The distribution of Notes will conform to the requirements set forth
     in Rule 2720 of the NASD Conduct Rules.


     NYFS04...:\25\22625\0122\1824\GGG3177K.020


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