The average duration of the loans is 10 years. The average duration of the deposits is 3 years.

Consumer Loans $50m Deposits $235m

Commercial Loans $200m Equity $15m

Total assets $250m Total Liabilities and equity $250m

a)What is the leveraged-adjusted duration gap of the bank's portfolio?

b)What is the change in the value of the FI's equity for a 1 percent increase in interest rates from the current rates of 10 percent (i.e., R = +0.01, and 1 + R = 1.10)?

c)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?