Your neighbor's first name is "Loss" and his last name is "Aversion". Mr. Loss Aversion expresses his utility with the following function: u(x)= x 4 ,(x 0.4) where x is a possible payoff. Mr. "Aversion" coefficient of loss aversion is 2 . His reference point is $50, his a (coefficient of diminishing marginal sensitivity for gains) is 0.1 and his (coefficient of diminishing marginal sensitivity for losses) is 0.8. Please answer the following: (Show all work and round to the nearest 2 decimal points). a) What's Mr. "Aversion" utility if he wins $100 ? b) According to Prospect Theory, what is his utility (value) for winning the same amount of $100? c) Explain why there is a difference between the answers in part (a) and part (b) d) Suppose that Mr. Aversion lost $100. What's his utility according to the prospect theory model? e) Explain why the utility of gaining $100 (part b) is not symmetric to the utility of losing a $100 (part d). [hint: v(x) is not symmetric to v(x)]