Ms. Fogg is planning a trip where she plans to spend $10,000. Her utility is a function of money actually spend on the trip, U(Y) = In(Y).
a) If there is a 25% chance she will lose $1,000 on the trip, what is her expected utility?
b) Suppose Ms Fogg can insure her $1,000 at an actuarially fair premium of $250. Show that her utility is higher if she purchases the insurance.
c) What is the maximum amount that Ms. Fogg is willing to pay to insure the $1,000?