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 12.5 basis points for every 31.25-basis-point move in the yield on 5-year bonds.

You hold a $1.8 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 F0 = $80.

How many futures contracts should you sell? (Do not round intermediate calculations. Round your final answer to the nearest whole number.)