THE BEAR STEARNS COMPANIES INC. IncomeNotes(SM) With Maturities of Nine Months or More from Date of Issue Registration No. 333-109793 Filed Pursuant to Rule 424(b)(3) Pricing Supplement No. 21 (To Prospectus dated November 17, 2003, and Prospectus Supplement dated November 17, 2003) Trade Date: May 3, 2004 Issue Date: May 6, 2004 The date of this Pricing Supplement is May 3, 2004 Fixed Rate Notes --------------------------------------------------------------------------------------------------------------------------------- Interest Maturity Price to Discounts & Payment CUSIP# Interest Rate Date Public Commissions Reallowance Dealer Frequency --------------------------------------------------------------------------------------------------------------------------------- 07387EFA0 3.90% 5/15/2009 100.00% 1.00% 0.150% 99.25% Semi --------------------------------------------------------------------------------------------------------------------------------- 07387EFB8 5.71% 5/15/2019 100.00% 2.00% 0.350% 98.40% Semi --------------------------------------------------------------------------------------------------------------------------------- 07387EFC6 6.00% 5/15/2029 100.00% 2.50% 0.350% 98.00% Semi --------------------------------------------------------------------------------------------------------------------------------- Subject to Redemption --------------------- --------------------------------------------------------------------------------------------------------------------------------- First Interest Aggregate First Interest Payment Survivor's Principal Payment Date Amount Option Yes/No Date and Terms of Redemption Amount Net Proceeds --------------------------------------------------------------------------------------------------------------------------------- 11/15/2004 $20.48 Yes No N/A $ 598,000 $ 592,020 --------------------------------------------------------------------------------------------------------------------------------- 11/15/2004 $29.98 Yes Yes Commencing on 5/15/2007 and on the 15th of $1,314,000 $1,287,720 each month thereafter until Maturity, the Notes may be called in whole at par at the option of the Company on ten calendar days notice. --------------------------------------------------------------------------------------------------------------------------------- 11/15/2004 $31.50 Yes Yes Commencing on 5/15/2008 and on the 15th of $4,246,000 $4,139,850 each month thereafter until Maturity, the Notes may be called in whole at par at the option of the Company on ten calendar days notice. --------------------------------------------------------------------------------------------------------------------------------- *** The distribution of IncomeNotes will conform to the requirements set forth in Rule 2720 of the NASD Conduct Rules.