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A fund manager has a portfolio worth $50 million with a beta of 1.22. The manager is concerned about the performance of the market over

A fund manager has a portfolio worth $50 million with a beta of 1.22. The manager is concerned about the performance of the market over the next three months and plans to use July futures contracts on the S&P 500 to hedge the risk. The current index level is 3,172, one contract is on 250 times the index. The current Dec futures price is 3,207. How many S&P index futures does the fund manager need to reduce the beat of his portfolio to 0.7 over the next three months? (round your answer to an integer. Be careful with the sign of your answer: a positive answer indicates number of long contracts, a negative answer indicates number of short contracts.)

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