Problem: Suppose that you purchase a European call option that has a strike price of 85 and a maturity of 6 months. The underlying stock is currently selling at 82 and the standard deviation on its return is 30%. Assume the risk-free-rate is 4%.
Required:
Question 1: Find the intrinsic price of the call option using the Black-Scholes-Merton model?
Question 2: If this is a put option, what is the intrinsic price based on the Black-Scholes-Merton model?