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A portfolio manager (PM) asks you if there is a way for the portfolio to act like one with a beta of 0.9 over the

A portfolio manager (PM) asks you if there is a way for the portfolio to act like one with a beta of 0.9 over the next three months. You recall that stock index futures can be used. How many contracts would you buy or sell to synthetically reduce the beta on the $500 million portfolio to 0.9 if the beta of the futures contracts is 1.03? Assume that futures on the S&P 500 Index are priced at 412,500.

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