Suppose you are attempting to value a 1-year expiration option on a stock with volatility (i.e., annualized standard deviation) of =0.41. What would be the appropriate values for u and d if your binomial model is set up using: a. 1 period of 1 year. b. 4 subperiods, each 3 months. c. 12 subperiods, each 1 month. Note: Do not round intermediate calculations. Round your answers to 4 decimal places. You are attempting to value a put option with an exercise price of $180 and one year to expiration. The underlying stock pays no dividends, its current price is $180, and you believe it has a 50% chance of increasing to $200 and a 50% chance of decreasing to $100. The risk-free rate of interest is 12%. Required: a. What will be the payoff to the put, Pu, if the stock goes up? b. What will be the payoff, Pd, if the stock price falls? c. What is the weighted average value of the pay off