What should I do about my neighbor and my tree?

A person bought the home directly behind me, and I have a fairly large tree in my yard. It blocks his view of the ocean, and he wants me to cut it down. I understand his problem, and I wouldn’t like it either, but this is a beautiful tree. I am trying to find a compromise. Any suggestions? Topping the tree would not be a possibility. He said he would do whatever he has to no matter what it cost him. I see no other solution than to cut my tree down.