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A company has a $20 million portfolio with a beta of 1.2. It would like to use futures contracts on the S&P 500 to hedge

A company has a $20 million portfolio with a beta of 1.2. It would like to use futures contracts on the S&P 500 to hedge its risk. The index futures price is currently 1080, and each contract is for delivery of $250 times the index. What is the hedge that minimizes risk and what should the company do if it wants to reduce the beta of the portfolio to 0.6?

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To hedge the risk, 74 contracts need to be shorted and; to reduce the beta to 0.6, a long position in 37 contracts is required.

To hedge the risk, 74 contracts need to be shorted and; to reduce the beta to 0.6, a short position in 37 contracts is required.

To hedge the risk, 89 contracts need to be shorted and; to reduce the beta to 0.6, a long position in 44 contracts is required.

To hedge the risk, 89 contracts need to be shorted and; to reduce the beta to 0.6, a short position in 44 contracts is required.

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