The 12.4% average annual total return in Cooperman's main fund has far outpaced the market. : Billionaire Leon Cooperman, the founder, chairman and CEO of hedge fund Omega Advisors, has built up a stellar track record as a stock picker by posting a 12.4% average annual total return since inception for his flagship fund, versus 9.5% for the S&P 500 Index (SPX) over the same period.