Is there such a thing as daredevil insurance?

Okay, in theory I basically understand why people want to scale the highest mountain, dive the deepest sea. However, when they fail, who should be responsible for the rescue?

If there’s not daredevil insurance, I think there should be. Before you’re allowed to scale or dive, you should have to secure some kind of insurance that will pay the costs of your rescue if you fail. The rescue would still be done by publicly payed professionals, but someone should be responsible for reimbursing the public.

Of course, this could also open the door for private, contracted professional rescue services. In that case, the government might find it cheaper to contract those services rather than maintain a 24/7 crew at the ready.