A bank wants to use direct refinancing to manage its duration gap, D_G. Currently, for its assets, loans = $22 million and cash = $6 million. Equity = $4 million. Average D_A = 2.75 years, and average D_L = 4 years.

a) Should the bank buy loans with cash or sell existing loans for cash to reduce its interest risk?

b) What is the duration of the bank's existing loans?

c) How much cash will be used to eliminate the bank's interest rate exposure, if the loan available on the market has a duration of 7.6 years?