Consider a stock index fund that has a current value of $1200. A dividend of $10 will b paid on the index at the end of the year. A futures contract for $1245 is also available o this stock index fund and the futures contract matures in one year. A. Assume that the futures contract is fairly priced so it is the equilibrium price. Using the spot-futures parity condition, F=S (1+r-d), where r is the risk-free interest rate, and d is the dividend yield, calculate the unknown risk-free interest rate. B. Suppose the futures contract is mispriced and it is selling for $ 1240. Construct an arbitrage strategy to exploit the mispricing and calculate the arbitrage profit. C. Show that the arbitrage profit you calculated above will equal the mispricing in the futures market