The Average Duration of the Loans Is 10 Years

The average duration of the loans is 10 years. The average duration of the deposits is 3 years. What is the number of T-bond futures contracts necessary to hedge the balance sheet if the duration of the deliverable bonds is 9 years and the current price of the futures contract is $96 per $100 face value?

A) 1,630 contracts.
B) 1,475 contracts.
C) 1,900 contracts.
D) 2,078 contracts.
E) 3,225 contracts.