In: Advanced Math
Jules owns a Van Gogh masterpiece worth $5 million. There is a 1% chance the painting will get stolen, leaving Jules with nothing.
(a) What is the expected value of this gamble?
(b) What is the minimum insurance premium an insurance company would charge to fully insure the painting against theft?
(c) Jules's certainty equivalent for this risky situation is $4,900,000. What is the maximum insurance premium he'd be willing to pay for full insurance?