Use the following data for answering all problem sub-parts: A call option will mature in 6 months. The standard deviation of the underlying stock returns is 50% per year. The exercise price of the call option is $50 and the stock price is also $50. The risk-free interest rate is 3% per year. A. Using the Black-Scholes option pricing formula, calculate the price of the call option. (15 points) Problem 4 (continued) B. Using put-call parity calculate the price of the corresponding put option that has the same exercise price and maturity date as that of the call option (9 points)