Problem 1.4. Let S be the price in $ of a stock at a fixed time T in future. For positive integer n, let Cn be the price of a binary call option that will pay $1 at time T if S >n and 0 if S n. Suppose these prices are available for all integer values of n. That is, C1, P1, C2, P2, C3, P3, ... are available. (a) Write an expression for the state price for the state that S lies between n and n +1 (nn and 0 if S n. Suppose these prices are available for all integer values of n. That is, C1, P1, C2, P2, C3, P3, ... are available. (a) Write an expression for the state price for the state that S lies between n and n +1 (n<.><.>