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The spot price of the S&P 500 index is .The risk-free rate is and the dividend yield on the index is . The time to expiration is .

a. Determine the value of a futures contract.

b. If the price of the futures contract is ,

(i) Is there an arbitrage opportunity?

(ii) How would you take advantage of it and what is the profit?

c.Explain basis risk.

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