Richard Risky bets some money on the result of a tennis game. If he wins his bet, he will get 200€ and if he looses his bet, he will go home with only 20€. The probability of winning his bet is ? and the probability of losing his bet is ?. His utility function is given by u(x) = x4/3 .
a) Is Richard Risky risk-averse?
b) Compute the certainty equivalent of his bet!
c) Calculate the Arrow-Pratt measure of absolute and relative risk aversion!
d) Compute Richard Risky's risk premium! Why is it difficult to model agents with
Richard's risk attitude in an economic context?