An individual has utility function U=bin(C) where b is a parameter, C is consumption. The individual is choosing consumption over two periods and her subjective discount factor () is 0.9. Her consumption this period is 10 and for next period E(1/CH+1) is 1/11 and the covariance of 1/C++1 with the asset pay-off is -0.5/b. She can buy an asset today at price P with an expected pay-off next period (E(X + 1)) of 11. (a) What is the price of the asset in terms of b if she is maximising utility?(7 marks) (b) Suppose that b varies with the growth of consumption. Examine what are the implication of this for the risk premium on the asset 6 marks) (c) Discuss the results of b changing with arowth rates of consumption in the context of time-varvina expected returns on risk assets (12 marks)