Consider a binomial model with sigma = 0.2, delta = 0.04 and interest rate r of 5% a year, both compounded continuously. Using T = 1 maturity of one year, initial stock price S(0) = 100 and N = 4 periods, find the premium of the American Call C^A (K) for K = 100. At which states is early exercise rational? Suppose the stock moves are Up/Up/Down/Up. Compute the replicating portfolio along that scenario