PRICING SUPPLEMENT NO. 31A                                        Rule 424(b)(3)
DATED: March 28, 2001                                         File No. 333-52902
(To Prospectus dated January 11, 2001,
and Prospectus Supplement dated January 11, 2001)

                                 $9,015,893,162
                         THE BEAR STEARNS COMPANIES INC.
                           Medium-Term Notes, Series B

Principal Amount: $25,000,000  Floating Rate Notes [x]  Book Entry Notes [x]

Original Issue Date: 4/2/2001  Fixed Rate Notes [ ]     Certificated Notes [ ]

Maturity Date:  4/2/2002       CUSIP#: 073928TN3

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:

Interest Payment Dates:

Applicable Only to Floating Rate Notes:
--------------------------------------

Interest Rate Basis:                     Maximum Interest Rate:  N/A

[ ]   Commercial Paper Rate              Minimum Interest Rate:  N/A

[x]   Federal Funds Rate                 Interest Reset Date(s):  Daily

[ ]   Treasury Rate                      Interest Reset Period:  Daily

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

[ ]   LIBOR Telerate

[ ]   Prime Rate

[ ]   CMT Rate

Initial Interest Rate:  5.47%            Interest Payment Period: Quarterly

Index Maturity:  N/A

Spread (plus or minus):  + 0.18%

* On the 2nd of July, October, January and at Maturity.

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