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Suppose you want to hedge a $400 million bond portfolio with a duration of 8.4 years using 10-year Treasury note futures with a duration of

Suppose you want to hedge a $400 million bond portfolio with a duration of 8.4 years using 10-year Treasury note futures with a duration of 6.2 years, a futures price of 102, and 85 days to expiration. The multiplier on Treasury note futures is $100,000. How many contracts do you buy or sell?

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