number of contracts?

Mage Bank has $300 million worth of assets with a duration of 13 years and liabilities worth $273 million with a duration of six ears. In the interest of hedging interest rate risk, Village Bank is contemplating a macrohedge with interest rate T-bond utures contracts now selling for 103-21 (31nds). The T-bond underlying the futures contract has a duration of nine years. If the spot and futures interest rates move together, how many futures contracts must Village Bank sell to fully hedge the balance sheet? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to the nearest whole number.) Number of contracts