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An investment fund wants to reduce the market risk of its equity portfolio over the next six months. The portfolio is invested entirely in U.S.

An investment fund wants to reduce the market risk of its equity portfolio over the next six months. The portfolio is invested entirely in U.S. stocks, has a beta of 1.37 against the S&P 500 index, and has a current market value of $22,500,000. The fund’s target beta is 0.45. The current futures index level for the 6-month S&P 500 E-mini futures contract is 4,415 and the multiplier for the S&P 500 E-mini futures contract is $50. Recommend a cross-hedge using 6-month S&P 500 E-mini futures. Should you go long or short to hedge the fund’s stock portfolio? How many contracts should you use?

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