The multiplier for a futures contract on a stock market index is $50. The maturity of the contract is 2 year, the current level of the index is 1,800, and the risk-free interest rate is 1% per quarter. The dividend yield on the index is .5% per quarter. Suppose that after 6 months, the stock index is at 1,830. a. Find the cash flow from the mark-to-market proceeds on the contract. Assume that the parity condition always holds exactly. (10 marks) b. Find the holding-period return if the initial margin on the contract is $5,000