5. Assume you live in a risk-neutral world. A stock has a spot price of 10 and pays a one-time special dividend of 1 in 6 months. The annual effective interest rate is 5% per year. [a] Calculate the prepaid forward price of the stock today [b] Suppose the stock price in one year can take on one of the three possibilities 12, 10, 8 with probabilities P1, P2, P3 respectively. You also observe that a 1-year European-style 10-strike call option on the stock is worth 0.5 today. Calculate the price of a 1-year European-style put option on the stock, with a strike price of 11.