Bank of America Corp., the lender that’s divesting assets to raise capital, agreed to sell 80.8 million shares of HCA Holdings Inc. back to the health-care company for $1.5 billion. HCA’s stock jumped 12 percent to $20.84.

The agreement calls for a price of $18.61 a share, according to a statement from HCA, the largest US hospital operator.

Bank of America rose 28 cents, or 4 percent, to $7.33 in New York Stock Exchange composite trading.