Consider a two-year American put option written on a stock S with the following data: 0 = 300, Strike price X = 270, t =0, 1, 2, risk-free rate = 2%, change of stock value in the up- state u = 1.5, change of stock value in the down state d = 0.7 (supposing there is no dividend payment during each period). i. Find the value of the put option at t = 0, using risk-neutral valuation. ii. Find the value of the put option at t = 0 if strike price X = 310