Consider the following information on European options on stock MMM, illustrated in Table 2. Stock MMM does not pay any dividends. The interest rate is 10% a year. a) Using the put-call parity, complete the table above with the price of a European put option on stock MMM with strike price $50 and 3 months to maturity. (3 marks) b) If the put price is $4.6, do you find any arbitrage opportunity? If yes, explain how to take advantage of this arbitrage. Carefully describe the cash flows involved at all points in time. (8 marks) c) What should be the price of a European put option on stock MMM with strike price $50 and 6 months to maturity if the European call price for the same stock, same strike price and same maturity is $7.5 ? (4 marks) d) Explain briefly how the put-call parity is derived, using the no arbitrage condition