Calculate the theoretical price for the S&P500 index futures maturing in December 2016. Assume that the dividend yield on the index is 1.5% per year continuously compounded. Use the above quotes to determine whether there is an arbitrage opportunity. If there is an opportunity, show how the arbitrage would be made, using a payoff table. Assume that the futures contract expires at the end of the month, and use a T-bill rate of 0.45% per year continuously compounded. What are the potential problems with the arbitrage? Calculate the theoretical price for the S&P500 index futures maturing in December 2016. Assume that the dividend yield on the index is 1.5% per year continuously compounded. Use the above quotes to determine whether there is an arbitrage opportunity. If there is an opportunity, show how the arbitrage would be made, using a payoff table. Assume that the futures contract expires at the end of the month, and use a T-bill rate of 0.45% per year continuously compounded. What are the potential problems with the arbitrage