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You are considering the S&P 500 futures contract. on the 1st November 2010, the S&P was trading at 1127,17 when futures contracts maturing on 1st March 2011 were priced at 1119,70. The annualised interest rate is 1,25% and the annualised dividend yield is 2,16%
a) What is the theoretical value of the futures contract? Show all working.
b) Given the market price of S&P 500 contract, is arbitrage possible? Describe the transactions that should be undertaken and calculate the profit that would be made per contract of the S&P 500 futures. Show all steps.
c) If transaction costs are 1,5% (round trip) per futures, calculate the upper and lower bound of the futures price. Also, is arbitrage still possible once transaction costs are taken into account?
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