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Bank As asset portfolio has an average duration of 3.5 years and its liability portfolio has an average duration of 2.5 years. The bank has

Bank As asset portfolio has an average duration of 3.5 years and its liability portfolio has an average duration of 2.5 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 $98,760. How many futures contracts will it need to hedge its risk? [Alert: no fraction]

Please show your work and Write your answers with two decimal points

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