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You manage a $100 million portfolio, with beta 0.78 on the S&P500 index. You would like to use S&P500 index futures to change the portfolio

You manage a $100 million portfolio, with beta 0.78 on the S&P500 index. You would like to use S&P500 index futures to change the portfolio beta to 1.53. The index currently stands at 974, and each futures contract is on $250 times the index. How many futures contracts do you need to buy? (Use a negative number for a short position)

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