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a. The multiplier for a futures contract on a stock market index is $250. The maturity of the contract is four months, and the current level of the index is 4,250. The risk-free interest rate is 0.6% per month and the dividend yield on the index is 0.2% per month.
i. What is the futures price now?
ii. Suppose that after one month, the stock index is at 4,290. Calculate the one-month holding-period return if the initial margin on the contract is $30,000.
b. Louis sells ten September futures contracts on orange juice. Each contract is for the delivery of 15,000 pounds. The current futures price is $1.383 per pound. The initial margin is $3,500 per contract and the maintenance margin is $2,600 per contract. What is the futures price per pound that would lead to a margin call?
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