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For companies that the AP analyzed, revenue grew about 12 percent, according to data provider CapitalIQ. That helped lift earnings, as did companies’ ability to hold down costs. Companies could limit raises for rank-and-file workers because of the weak labor market.

The bigger profits helped push up the typical cash bonus given to a CEO by 39 percent in 2010, to $2 million, according to Equilar. Some companies, including Ford (CEO Alan Mulally) and JPMorgan Chase, didn’t grant bonuses in 2009 but paid big sums last year as business made a strong comeback from the recession.

Companies analyzed by AP granted their CEOs about $1.3 billion in stock in 2010, up about $300 million from the year before. They awarded stock options worth $702 million, or about $27 million more than the year before.

Those figures are based on formulas the companies use to estimate what the stock and options will eventually be worth when a CEO receives the stock or cashes in the options.