BEAR STEARNS COMPANIES INC
424B3, 1998-05-05
SECURITY BROKERS, DEALERS & FLOTATION COMPANIES
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PRICING SUPPLEMENT NO. 80                                        Rule 424(b)(3)
DATED: May 4, 1998                                           File No. 333-43565
(To Prospectus dated January 21, 1998
and Prospectus Supplement dated January 21, 1998)


                                 $7,096,595,162
                         THE BEAR STEARNS COMPANIES INC.
                           MEDIUM-TERM NOTES, SERIES B
             WITH MINIMUM MATURITY OF NINE MONTHS FROM DATE OF ISSUE


Principal Amount:  $20,000,000  Floating Rate Notes [x]    Book Entry Notes [x]

Original Issue Date:            Fixed Rate Notes [_]      Certificated Notes [_]
May 7, 1998

Maturity Date:                  CUSIP#: 073928 BQ 5
May 7, 1999

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: Three Months

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

[x]           LIBOR Telerate

[_]           Prime Rate                    Interest Payment Period: Quarterly

[_]           CMT Rate


Initial Interest Rate: ***

Index Maturity:  Three Months

Spread (plus or minus): -0.06%
- -------------------------------

*        On the 7th of each August, November and February.

**       On the 7th of each August, November, February and May.

***      The three-month LIBOR rate on May 5, 1998 minus 6 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\SUP5058L.290



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