Consider a European call option on a non-dividend-paying stock. The current stock price is $53, the option strike price is $50, the risk-free interest rate is 10% per annum, the volatility is 36% per annum, and the time to maturity is three months. A. In a risk-neutral world, what is the probability that a European call option will be exercised? (Hint: Look at Slide 15 of Lecture 12 where we discuss the interpretation of the Black-Scholes formula) B. What should be the value of a derivative that pays off $15 if the stock price in 3 months exceeds $50?