Kindred Healthcare Inc., a provider of long-term medical care, made an unsolicited offer to buy rival Gentiva Health Services Inc. for about $533 million in a cash-and-stock deal.

Gentiva turned down the $14-a-share offer on May 13, as well as a bid last month of $13 a share, according to correspondence between the two companies published by Louisville, Kentucky-based Kindred today. Kindred valued the transaction at $1.6 billion including assumed debt.

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