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Suppose you want to hedge a $550 million bond portfolio with a duration of 5.2 years using 10 -year Treasury note futures with a duration

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Suppose you want to hedge a $550 million bond portfolio with a duration of 5.2 years using 10 -year Treasury note futures with a duration of 6.7 years, a futures price of 108, and 9 months 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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