BEAR STEARNS COMPANIES INC
424B3, 1996-08-13
SECURITY BROKERS, DEALERS & FLOTATION COMPANIES
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     PRICING SUPPLEMENT NO. 43                               Rule 424(b)(3)
     DATED: August 9, 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
 $25,000,000                  [x]                  [x]

 Original Issue Date:         Fixed Rate Notes     Certificated Notes
 08/14/96                     [_]                  [_]

 Maturity Date: 08/14/98

 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: ***

 Index Maturity:  One month

 Spread (plus or minus): +0.15%
                        
- -------------------------

  *  09/11/96, 10/09/96, 11/13/96, 12/11/96, 01/08/97, 02/12/97, 03/12/97,
     04/09/97, 05/14/97, 06/11/97, 07/09/97, 08/13/97, 09/10/97, 10/08/97,
     11/12/97, 12/10/97, 01/14/98, 02/11/98, 03/11/98, 04/15/98, 05/13/98,
     06/10/98, 07/08/98 and 08/12/98.

 **  09/11/96, 10/09/96, 11/13/96, 12/11/96, 01/08/97, 02/12/97, 03/12/97,
     04/09/97, 05/14/97, 06/11/97, 07/09/97, 08/13/97, 09/10/97, 10/08/97,
     11/12/97, 12/10/97, 01/14/98, 02/11/98, 03/11/98, 04/15/98, 05/13/98,
     06/10/98, 07/08/98, 08/12/98 and 08/14/98.

***  One month LIBOR as of August 12, 1996 plus 15 basis points.

     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\FFF6036U.13M


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