BEAR STEARNS COMPANIES INC
424B3, 1996-08-01
SECURITY BROKERS, DEALERS & FLOTATION COMPANIES
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     PRICING SUPPLEMENT NO. 36                               Rule 424(b)(3)
     DATED:  July 31, 1996                               File No. 333-03685
     (To Prospectus dated May 23, 1996
     and Prospectus Supplement dated May 23, 1996)


                               $4,954,795,162
                      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
 $12,000,000                  [_]                 [x]

 Original Issue Date:         Fixed Rate Notes    Certificated Notes
 08/05/96                     [x]                 [_]

 Maturity Date: 08/05/97

 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:  6.11%

 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 Reuters                    Interest Payment Date(s): 

 [_]  LIBOR Telerate

 [_]  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.

     NYFS04...:\25\22625\0122\1773\FFF5286R.33D




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