There is one period. Assume a representative agent with utility function U(ct) = 1 - exp(nct). In parts b) through h) assume the following: • n = .01. • Consumption at t = 0 is Co = 25. • At t = 1 one of two states 0₁ and 2 eventuate with probability #₁ = .5, and 72 = .5, respectively. • There are two complex securities s¹ and s². s¹ has a payoff of 23 in 0₁ and 27 in 02. • s² has a payoff of 21 in 0₁ and 31 in 02. Answer the following: (a) Derive an expression for the stochastic discount factor mt+1? (b) What are the prices q¹ and q² of complex securities s¹ and s² at t = 0?
