All Is Lost

The man is passed by two container ships, which do not see him, despite his use of signaling flares. He drifts out of the shipping lane with no food or water. On the eighth day, he writes a letter, puts it in a jar, and throws it in the ocean as a message in a bottle. Later that night, he sees a light in the distance. He tears pages from his journal along with charts to create a signal fire. The fire grows out of control and consumes his raft. He falls into the water and allows himself to sink. Underwater, he sees the hull of a boat with a search light approaching his burning raft. He swims towards the surface to grasp an outstretched hand.

Question: does he live or die in all is lost
Answer: no