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Suppose you are managing an equity portfolio with a beta of 0.8 and $15M in assets. S&P 500 index futures with a multiplier of 250

Suppose you are managing an equity portfolio with a beta of 0.8 and $15M in assets. S&P 500 index futures with a multiplier of 250 (not the e-mini futures) are currently priced at 1,057, and the index is also 1,057. What position in index futures is necessary to increase the portfolio beta to 1.4?

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