BEAR STEARNS COMPANIES INC
424B3, 1994-08-24
SECURITY BROKERS, DEALERS & FLOTATION COMPANIES
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PRICING SUPPLEMENT NO. 34                                    Rule 424(b)(3)
DATED:  August 23, 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
 $70,000,000                  [x]                 [x]

 Original Issue Date:         Fixed Rate Notes    Certificated Notes
 8/25/94                      [_]                 [_]

 Maturity Date: 8/23/95

 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                            Interest Payment Date(s): ***

 [_]   Prime Rate                      Interest Payment Period: Monthly

 Initial Interest Rate: 4.9125%

 Index Maturity:  One Month

 Spread (plus or minus):  +.10%
                        
- -------------------------
*  For purposes of this Note, LIBOR will be determined by the Calculation
   Agent in accordance with the following provisions:

   (i) With respect to an Interest Determination Date, LIBOR will be
determined on the basis of the offered rate for deposits in U.S. dollars
having the Index Maturity specified above, commencing on the second London
Banking Day immediately following such Interest Determination Date, which
appears on Telerate page 3750 (or such other page as may replace such
Telerate page 3750 for the purpose of displaying London interbank rates of
major banks), as of 11:00 A.M., London time, on such Interest Determination
Date.  If no such rate appears on Telerate page 3750 (or such other page),
LIBOR for such Interest Determination Date will be determined as if the
parties had specified the rate described in (ii) below.





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