The recapitalization of bailed-out insurer American International Group Inc closed on Friday, leaving the government with a 92 percent stake and plans to sell its shares quickly.

The recapitalization was intended to simplify AIG's $182 billion bailout by paying off the Federal Reserve and leaving the U.S. Treasury as AIG's majority owner. The Treasury said on Friday its cash investment in AIG is now $68 billion.

Treasury remains optimistic that taxpayers will get back every dollar of their investment in AIG, Treasury Secretary Tim Geithner said in a statement.

A person familiar with the situation told Reuters on Monday a large share sale was likely after mid-May, and other sources have said in the past that Treasury likely would dispose of the stake by 2012.

The Treasury spent all day Thursday meeting bankers in New York to find the right group to manage the stock sales. The CEOs of some of the world's largest financial institutions appeared in person to make their case for what could be one of the 10 largest share offers ever.

The government saved AIG from collapse in September 2008. Over the last year, the company has raised tens of billions of dollars through asset sales and IPOs of international units as it slimmed down and shifted focus.

(Reporting by Ben Berkowitz. Editing by Robert MacMillan)