Consider these data for the S\&P 500 future's contract maturing in, exactly one year. The S\&P 500 index is at 4,290, and the contract price is F0=4,292. Required: a. If the current interest rate is 2.5%, and the average dividend rate of the stocks in the index is 1.9%, what fraction of the proceeds of stock short sales would need to be available to you to earn arbitrage profits? Note: Enter your answer in numbers and not in percentage. E.g., enter 0.12 and not 12%. Do not round intermediate calculations. Round your answer to 4 decimal places. b. Suppose now that you in fact have access to 90% of the proceeds from a short sale. What is the lower bound on the futures price that rules out arbitrage opportunities? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. By how much does the actual futures price fall below the no-arbitrage bound? Note: Round your intermediate calculations and final answer to 2 decimal places