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A company has a $[a]million portfolio with a beta of [b]. It would like to use futures contracts on a stock index to hedge its

A company has a $[a]million portfolio with a beta of [b]. It would like to use futures contracts on a stock index to hedge its risk. The index futures is currently standing at [c], and each contract is for delivery of $250 times the index.

What should the company do if it wants to reduce the beta of the portfolio by 0.6?

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(A) To reduce the beta by 0.6, half of this position, or a short position in half of the contracts, is required.

(B) To reduce the beta by 0.6, double of this position, or a short position in double of the contracts, is required.

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