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Currently you hold two stocks in your portfolio. The historical and future prices are as follows. Assume there are three possible states in the future, and they will occur with equal probability. Future Price Stock Purchase Price Current Price Bad Normal Good 35 42 35 45 50 B 50 20 5 20 30 (1) What are the expected returns of the two stocks from now to the future? Use the current price and future price in the expected return calculation. (2pts) (2) Suppose the utility derive from trading is U(x) = {200** -e-0.1x + 1 x > 0 x30 where x is the net profit (i.e., end of period price minus purchase price from a position. You view the two stocks in your portfolio separately. You will continue to hold a stock if the expected utility from holding the stock is higher than the current utility. Based on the information, would you continue to hold stock A and B? (8pts) (Note: when you calculate the expected utility, U = E[U(x)], where x = future price - purchase price. When you calculate the current utility, x = current price - purchase price.)