6. There is only one consumption good in the economy with two consumers and two states. Consumer 1's endowment is 81 : [Elma : [4,8] and consumer 2's endowment is 92 : [63%.831 : [810], where e: is consumer i's endowment of the consumption good in state a. Each consumer i's utility associated with consuming 3:: units of the consumption good in state a is Mimi) : 11137:. Assume that each consumer i is an expected utility maximizer and both consumers believe that each state will occur with equal probability. Trading occurs sequentially over two periods in a Rod-ire?\" economy. Consumers trade nancial assets in the forward markets. One unit of asset s (s = 1, 2) pays one dollar in state s and nothing in the other state. Let q... be the price of asset s in the forward markets Let p_.,. be the price of the consumption good in the spot market after state 3 is realized. (a) In Radner equilibriunn the prices satisfy P2 (12 P1 where k is a positive constant. Determine the value of k. (b) For any given spot market prices p1 and pg, derive the Radner equi librium