Imagine that S&P 500 futures contracts are trading on the Chicago Mercantile Exchange. Assume that the each contract calls for delivery of 1,000 shares of stock in one year and that the dividend per share at the end of the year is $2. The T-bill rate is 6% per year. Assume that there are 365 days a year and the corresponding daily net interest rate is 1.06^(1/365)-1. Finally, assume that the investor discussed below is long one unit of the contract. a) If the S&P 500 index price $100 per share, what should be the futures price? b) If the S&P 500 index price drops by 20% the next day (as it did in the 1987 crash) what should be the new futures price? c) What is the change in the investor's margin account? d) The investor's initial margin account balance is $14,133.33. What is the net return for the investor's position?