Suppose that the S&P500 Index' Spot and Forward Prices are given as follows: Spot 45-day Forward 75-day Forward 3327.30 3333.46 3337.57 (a) A 45-day European Call option, to buy 1 unit of S&P500 for $3250, costs $65. The rate at which you can borrow or lend money is 1.5% a year. Are there any arbitrage opportunities? Justify your answer by suggesting a strategy to take advantage of it, there is an arbitrage opportunity. (b) For what values of the 45-day Call option price there will be NO ARBITRAGE opportunities in part (a)? (c) [This part is independent of parts (a) and (b)] A 75-day European Put option, to sell 1 unit of S&P500 for $3300, costs $51. The rate at which you can borrow or lend is 1.5% a year. Are there any arbitrage opportunities? Justify your answer by suggesting a strategy to take advantage of it, if there is an arbitrage opportunity. Suppose that the S&P500 Index' Spot and Forward Prices are given as follows: Spot 45-day Forward 75-day Forward 3327.30 3333.46 3337.57 (a) A 45-day European Call option, to buy 1 unit of S&P500 for $3250, costs $65. The rate at which you can borrow or lend money is 1.5% a year. Are there any arbitrage opportunities? Justify your answer by suggesting a strategy to take advantage of it, there is an arbitrage opportunity. (b) For what values of the 45-day Call option price there will be NO ARBITRAGE opportunities in part (a)? (c) [This part is independent of parts (a) and (b)] A 75-day European Put option, to sell 1 unit of S&P500 for $3300, costs $51. The rate at which you can borrow or lend is 1.5% a year. Are there any arbitrage opportunities? Justify your answer by suggesting a strategy to take advantage of it, if there is an arbitrage opportunity