Use the following information (in US$ billions) in the table below to answer the following questions. Assets US$ Liabilities US$ T-Bills 100 Deposits 2,950 (Duration -0.6) (Duration -1.1) T-Notes 75 (Duration -0.95) Wholesale Funds (Duration - 0.05) 275 T-Bonds 185 Equity 365 (Duration - 5.5) Loans 3,230 (Duration - 8.4) a) Calculate the average duration of the assets. Show your calculations in full. (5 marks) b) Calculate the average duration of the liabilities. Show your calculations in full. (5 marks) c) If the yield curve were to shift upwards by 0.75%, what would be the impact on the bank's equity value? d) (5 marks) If the yield curve were to shift downwards by 0.45%, what would be the impact on the bank's equity value? (5 marks)