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Suppose a bank has an asset duration of 5 years and a liability duration of 2.5 years. The bank has $1,000 million in assets and

Suppose a bank has an asset duration of 5 years and a liability duration of 2.5 years. The bank has $1,000 million in assets and $750 million in liabilities. It is planning to trade in Treasury bond futures whose underlying's duration is 8.5 years and is currently selling at $99,000 for a $100,000 contract. How many futures contracts does the bank need to fully hedge itself against interest rate risk?

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