BEAR STEARNS COMPANIES INC
424B3, 1997-10-02
SECURITY BROKERS, DEALERS & FLOTATION COMPANIES
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PRICING SUPPLEMENT NO. 42                                    Rule 424 (b)(3)
DATED: Ocotber 1, 1997                                    File No. 333-31277
(To Prospectus dated August 13, 1997
and Prospectus Supplement dated August 13, 1997)


                                 $5,180,520,162
                         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
$50,000,000              [x]                      [x]

Original Issue Date:     Fixed Rate Notes         Certificated Notes
10/06/97                 [_]                      [_]

Maturity Date: 01/08/2001

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 Reuters                  Interest Payment Date(s): **

[_]         LIBOR Telerate

[_]         Prime Rate

[x]         CMT Rate

Initial Interest Rate: ***                 Interest Payment Period: Quarterly

Index Maturity:  Two Years

Spread (plus or minus): +.20%
- ------------------------------------------

*        Quarterly on the 6th, commencing January 8, 1998.

**       Quarterly on the 6th, commencing January 8, 1998.

***      The CMT Rate on October 2, 1997, plus 20 basis points.

         The distribution of Notes will conform to the requirements set forth in
         Rule 2720 of the NASD Conduct Rules.

NYFS04...:\25\22625\0122\2041\HHH0027M.400


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