Suppose that there are two states and two securities with payoffs x1(1,1) and x2(2,0) the representative agent's utility function will be given by: u(c0,c1,c2)=ln(c0)+21ln(c1)+21ln(c2)wherec0,c1,c2>0. If endowment at date 0 and 1 is 1 and (1,2) respectively and given that the law of one price is satisfied in this security economy find: a) The price of portfolio h=[h1,h2] assuming that the price of h1 and h2 is p1 and p2 respectively. b) The asset span M c) Expression for c0,c1 and c2 d) State the representative agents utility function in terms of h1 and h2 e) Formulate the consumption portfolio choice problem for this age f) Find the marginal rate of substitution for each state given that the optimal portfolio; h1=0 and h2=0. Solve for the price of P1 and P2