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Suppose you want to hedge a $420 million bond portfolio with a duration of 7.8 years using 10 -year Treasury note futures with a duration

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Suppose you want to hedge a $420 million bond portfolio with a duration of 7.8 years using 10 -year Treasury note futures with a duration of 5.7 years, a futures price of 103 , and 93 days to expiration. The multiplier on Treasury note futures is $100,000. How many contracts do you buy or sell? Note: Do not round intermediate calculations. Round your answer to the nearest whole number

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