Please show your work

5. ABC Banks asset portfolio has an average duration of 4 years and its liability portfolio has an average duration of 3 years. The bank has $500 million in total assets and $400 million in liabilities. ABC Bank is thinking about hedging its risk by using a Treasury bond futures contract whose underlyings duration is 5 years and has a price of $97,650. How many futures contracts will it need to hedge its risk?