Consider a two-period binomial market model for an underlying asset with price process S, at each time t. Branching from t to t + 1 results in St+1 = ust in case of an upward price move, and St+1=dSt in case of a downward price move. You are asked to input values So = 2, u = 2, d = 1/2, r = 0.1, and 8 = 0 to price a European put option with strike price 3. a. Write down the evolution of the underlying stock and the payoff of the option along the tree. b. Determine the structure of the replicating portfolio at times 0 and 1 in every node. c. Determine the price of the option at time 0. d. Explain how the price computed at point (c) would change if the option were of American type.