Suppose that a stock price is currently 39 dollars, and it is known that at the end of each of the next two three-month periods, the price will be either 18 percent higher or 18 percent lower than at the beginning of the period. Find the value of a European put option on the stock that expires 6 months from now, and has a strike price of 44 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 5 percent.
Answer = dollars.