Consider a European put option on a stock, with a $64 strike and 1-year to expiration. The stock has a continuous dividend yield of 5%, and its current price is $10. Suppose the volatility of the stock is 25%. The continuously compounded risk-free interest rate is 6%. Use a one-period binomial tree to calculate the following: (a) The payoff for up movement. (b) The payoff for down movement. (c) The corresponding replicating portfolio: The number of shares. (d) The corresponding replicating portfolio: The lent/borrowed amount. (e) The option premium.