Consider a 3-step binomial tree model (no dividends) with one-step risk-free return r = 0.1, initial stock price S(0) = $50, and parameters u = 0.2 and d = 0.2. (a) (3 points) Find the risk-neutral probability p and draw the stock price binomial tree. (c) (12 points) Determine the binomial pricing tree for the American put options and Amer- ican call options with strike price X = $54 and maturity N = 3. In which scenarios (i.e. at which nodes) should the options be exercised before maturity