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A company has a $20 million portfolio with a beta of 1.2. It would like to...

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. How many short futures contracts does the company need if it wants to reduce the beta of the portfolio to 0.6?

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suppose company needs to short x futures contracts Bp = 102 Pf = logo M = 250 B.T= 0.6 a = Value of portfolio (BT-Bp) Pf XM

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