BEAR STEARNS COMPANIES INC
424B3, 1995-10-18
SECURITY BROKERS, DEALERS & FLOTATION COMPANIES
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     PRICING SUPPLEMENT NO. 32                               Rule 424(b)(3)
     DATED:  October 16, 1995                             File No. 33-60065
     (To Prospectus dated July 28, 1995
     and Prospectus Supplement dated July 28, 1995)


                               $2,399,571,350
                      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
 $35,000,000                  [_]                 [x]

 Original Issue Date:         Fixed Rate Notes    Certificated Notes
 10/19/95                     [x]                 [_]

 Maturity Date: 04/21/97

 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:  6.01%

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

 Interest Rate Basis:                  Maximum Interest Rate:
 
 [_]  Commercial Paper Rate            Minimum Interest Rate: 

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

 [_]  LIBOR                            Interest Payment Date(s): 

 [_]  Prime Rate

 [_]  CMT Rate

 Initial Interest Rate:                Interest Payment Period: 
 
 Index Maturity:  

 Spread (plus or minus): 

                         
- -------------------------
The distribution of Notes will conform to the requirements set forth in the
applicable sections of Schedule E to the By-laws of the National
Association of Securities Dealers, Inc.


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