1. (30) If you long a 1-year forward contract on a security with a delivery price (K) of $55, (a) (10) What is your payoff at expiry if the security price at expiry (ST) is $50? What is your payoff at expiry if the security price at expiry is $60? (b) (5) Plot your payoff at expiry as a function of the security price at expiry. Use the security price as the x-axis and the payoff as the y-axis. (c) (5) If the current spot price is $50, there is not other costs or benefits in carrying the security to the future (except interest cost). What should be the current forward price (F) on the security with 1-year maturity? (d) (5) Based on your calculated forward price, what is the current value of your long position in the 1-year forward with a delivery price of $55? (e) (5) If the market quote for the forward price is $50, is there an arbitrage opportunity (The answer is yes)? How can you set up trades to exploit the opportunity while assuming that there is no transaction cost