The common stock of the Pat plc. corporation has been trading in a narrow range around 145 per share for months, and you believe it is going to stay in that range for the next 12 months. The price of a 12-month European put option with an exercise price of 145 is 8.19. i) If the risk-free interest rate is 9% per year, what must be the price of a 12-month call option on Pat plc. stock at an exercise price of 145 if it is at the money? (The stock pays no dividends). ii) What would be a straddle strategy using a European put and a European call to exploit your conviction about the stock prices future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money?