Bank hedge – exposure

TR Bank has:

Assets of $150 million with a duration of 6.

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Liabilities of $135 million with a duration of 4.

Market interest rates are 10$.

 

TR Bank wishes to hedge its exposure with T bond futures.

The futures have a price of $95 per $100 face value with a market yield of 8.5295% and duration of 10.37 years. (Face value is $100000 per future.)

 

How should the bank hedge its exposure?