BEAR STEARNS COMPANIES INC
424B3, 1996-06-24
SECURITY BROKERS, DEALERS & FLOTATION COMPANIES
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     PRICING SUPPLEMENT NO. 12                               Rule 424(b)(3)
     DATED:  June 19, 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
 $50,000,000                  [x]                  [x]

 Original Issue Date:         Fixed Rate Notes     Certificated Notes
 06/24/96                     [_]                  [_]

 Maturity Date: 06/24/97

 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: Daily

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

 [_]  LIBOR Telerate

 [_]  Prime Rate

 [_]  CMT Rate

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

 Index Maturity:  N/A

 Spread (plus or minus): +.20%

                         
- -------------------------
*    For the purpose of this Note, "Federal Funds Rate" means, with respect
     to any Interest Determination Date, the Federal Funds Open Rate which
     appears on Telerate Page 5 (or such other page as may replace such
     Telerate Page 5 for the purpose of displaying the Federal Funds Open
     Rate) or, if no such rate is available on the Calculation Date
     pertaining to such Interest Determination Date, the Federal Funds Rate
     will be the rate on such Interest Determination Date as published in


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     H.15(519) under the heading "Federal Funds (Effective)."  If neither
     of such rates is published by 3:00 P.M., New York City time, on the
     Calculation Date pertaining to such Interest Determination Date, the
     Federal Funds Rate for such Interest Determination Date will be
     calculated by the Calculation Agent and will be the arithmetic mean of
     the rates for the last transaction in overnight Federal Funds arranged
     by three leading brokers of federal funds transactions in the City of
     New York selected by the Calculation Agent as of 11:00 A.M., New York
     City time, on such Interest Determination Date; provided, however,
     that if the brokers selected as aforesaid by the Calculation Agent are
     not quoting as mentioned in this sentence, the rate of interest in
     effect for the applicable period will be the rate of interest in
     effect on such Interest Determination Date.

**   Daily on each Business Day.

***  09/24/96, 12/24/96, 03/24/97 and 06/24/97.

**** The Federal Funds Rate as of June 21, 1996 plus 20 basis points.

The Interest Determination Date with respect to this Note shall be the same
day as each Interest Reset Date.

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.




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