13. (10 points) Consider a three-period (+=0.1.2) binomial structure for a stock, with initial stock price So = 100. Over each of the next two periods, the price is expected to go up by 5% or down by 5%. Each period is three months. The risk-free interest rate is 4% per annum, with discrete compounding. The stock pays no dividend. a) Taking the stock as underlying asset, what is the value of a 6-month European call option with strike price of 102? (3 points) b) Replicate the call option above, using the stock and the risk-free bond. (3 points) c) What is the value of an American put option with strike price 99? (4 points) 13. (10 points) Consider a three-period (+=0.1.2) binomial structure for a stock, with initial stock price So = 100. Over each of the next two periods, the price is expected to go up by 5% or down by 5%. Each period is three months. The risk-free interest rate is 4% per annum, with discrete compounding. The stock pays no dividend. a) Taking the stock as underlying asset, what is the value of a 6-month European call option with strike price of 102? (3 points) b) Replicate the call option above, using the stock and the risk-free bond. (3 points) c) What is the value of an American put option with strike price 99? (4 points)