But the company's reputation took a blow this summer when two Bear-run hedge funds collapsed due to bad bets on subprime-related investments.
Some analysts and investors have suggested Cayne might relinquish his role as CEO to Bear Stearns President Alan Schwartz while keeping his role as company chairman.
Bear Stearns Executives To Forgo Bonuses
The Wall Street Journal also reports that top executives at Bear Stearns, including Cayne, will forgo bonuses for this year in an acknowledgment of the difficult period facing the company.
According to the Journal, Bear Stearns just barely met a return-on-equity standard mandated by the current executive compensation plan.
was not available for comment. The company reports fiscal year-end results Thursday.