Consider two investor types, A and B; and two states that are equally likely. Suppose that there are two assets in the economy, one AD security for each state. Today, the endowments are wA(0);wB (0) = (4;4); and tomorrow the endowments are (w(1);w(2))A = (1;3) and (w(1);w(2))B = (5;1): The two agents have the following preferences: 2 X Ui =ci(0) k=1 p(k)lnci(k) where ci (k) is investor type i0s state-contingent consumption in period one. (a) Find each individual s demand for the AD securities and the associated consumption vectors: (c(1); c(2))A and (c(1);c(2))B : (b) What is are the equilibrium AD prices? What are the individuals expected utility in equilibrium