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Yields on short-term bonds tend to be more volatile than yields on long-term bonds. Suppose that you have estimated that the yield on 20-year bonds

Yields on short-term bonds tend to be more volatile than yields on long-term bonds. Suppose that you have estimated that the yield on 20-year bonds changes by 12 basis points for every 18.9-basis-point move in the yield on 5-year bonds. You hold a $4.5 million portfolio of 5-year maturity bonds with modified duration 4 years and desire to hedge your interest rate exposure with T-bond futures, which currently have modified duration 9 years and sell at Fo $75. How many futures contracts should you sell? (Do not round intermediate calculations. Round your final answer to the nearest whole number.)

answer is not 42 so do not post that please answer it correctly.

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