BEAR STEARNS COMPANIES INC
424B3, 1994-08-23
SECURITY BROKERS, DEALERS & FLOTATION COMPANIES
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PRICING SUPPLEMENT NO. 31                                    Rule 424(b)(3)
DATED:  August 19, 1994                                   File No. 33-52701
(To Prospectus dated April 8, 1994
and Prospectus Supplement dated April 8, 1994)


                               $2,873,608,750
                      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
 $15,000,000                  [x]                 [x]

 Original Issue Date:         Fixed Rate Notes    Certificated Notes
 8/26/94                      [_]                 [_]

 Maturity Date: 8/26/97

 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:  

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: Quarterly

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

 [_]  Prime Rate

 [x]  CMT Rate

 Initial Interest Rate: 5.65%          Interest Payment Period: Quarterly

 Index Maturity:  One Year

 Spread (plus or minus): -0-
                       
- -------------------------
*    11/28/94, 2/27/95, 5/26/95, 8/28/95, 11/27/95, 2/26/96, 5/28/96,
     8/26/96, 11/26/96, 2/26/97 and 5/27/97.

**   11/28/94, 2/27/95, 5/26/95, 8/28/95, 11/27/95, 2/26/96, 5/28/96,
     8/26/96, 11/26/96, 2/26/97, 5/27/97 and 8/26/97.

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




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