14-8

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 10 basis points for every 22.5-basis-point move in the yield on 5 -year bonds. You hold a $2.4 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 f=$80. How many futures contracts should you sell? (Do not round Intermedlate calculatlons. Round your flnal answer to the nearest whole number.)