3. Black-Scholes Option Pricing Assume that a stock price follows a geometric Brownian motion with a drift of 15% and a volatility of 30%. The current stock price is $50. (a) What is the probability distribution of the log of the stock price in six months? (b) What is the probability that a European call option with an exercise price of $49 and six months to maturity will be exercised? (c) What is the price of the European call if the riskless rate is 5.5% continuously compounded?