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Consider the futures contract written on the S&P 500 index and maturing in one year. The interest rate is 4%, and the future value of

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Consider the futures contract written on the S&P 500 index and maturing in one year. The interest rate is 4%, and the future value of dividends expected to be paid over the next year is $16. The current index level is 1,427. Assume that you can short sell the S&P index. a. Suppose the expected rate of return on the market is 8%. What is the expected level of the index in one year? (Round your answer to 2 decimal places.) Expected level of the index b. What is the theoretical no-arbitrage price for a 1-year futures contract on the S&P 500 stock index? (Round your answer to 2 decimal places.) Price c. Suppose the actual futures price is 1,440. Is there an arbitrage opportunity here? Yes No

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