Answer the questions by building 5-period binomial model whose parameters should be calibrated to a Black-Scholes geometric Brownian motion model with: T=.25 years, S0=100, r=2%, =30% and a dividend yield of c=1%. Compute the fair value of an American call option with strike K=110 and maturity n=10 periods where the option is written on a futures contract that expires after 15 periods. What is the earliest time period in which you might want to exercise the American futures option ?