Problem: Consider the following lottery: with Prob 13 it yields payoff $0, with Prob 16 it yields $4, with remaining probability it yields $9. Describe your answer and give examples.
Required:
(a) Calculate the expected payoff of this lottery.
(b) Suppose John's preference over monetary payoff the is represented by the utility function u(w) = 2w+100, where w is the amount of monetary payoff. What's the certainty equivalent of this lottery for John?
(c) Suppose John's wife Mary has utility function over monetary payoff v(w) =√w. what's the certainty equivalent of this lotteryfor Mary?