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Modern Portfolio Managers ( MPM ) hold a 8 . 0 million dollar portfolio of stocks with a beta of 1 . 3 measured with

Modern Portfolio Managers (MPM) hold a 8.0 million dollar portfolio of stocks with a beta of 1.3 measured with respect to the S&P 500 index. The current value of a futures contract on the index is 1087.8. The multiplier on the futures equals $250. If MPM wishes to increase its systematic risk in its portfolio to 2.1, how many contracts must it buy or sell?
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