Problem
A stock currently sells for $95. A call option on the stock has an exercise price of $95 and will expire in 9 months. The annual rate is 6% and the annual standard deviation (σ) of the stock's returns is 0.20. The annual dividend yield on the stock is 4%
i. What is the price of a European call option according to the Black-Scholes-Merton option pricing model?
ii. What is the price of an identical put option using BSM model?
iii. What is the probability that the call option will not be exercised?