Problem 4 (24 points) Use the following data for answering all problem sub-parts: A put option will mature in 6 months. The standard deviation of the underlying stock returns is 30% per year. The exercise price of the put option is $40 and the stock price is also $60. The risk-free interest rate is 3% per year. A. Using the Black-Scholes option pricing formula, calculate the price of the put option. (15 points) 1 Problem 4 (continued) B. Using put-call parity calculate the price of the corresponding call option that has the same exercise price and maturity date as that of the put option. (9 points)