b) Consider the following bank balance sheet and the associated interest rates.(8marks) Assets Amount Rate Liabilities & Equity Amount Rate Cash $100 1 yr. Time deposit $620 5% 3yr commer. Loan 700 12% 3 yr. CD 300 7% 6yr Treasury bond 200 8% Total liabilities 920 Equity 80 Total 1.000 Total 1,000 Calculate the duration for: i. Commercial loan ii. Treasury bond iii. Certificate of deposit iv. Time deposit v. Calculate the weighted average durations of assets and liabilities. vi. Determine the expected economic net interest income. vii. What is the bank's duration GAP? c) Suppose that all interest rates increase immediately by 1 percent after the bank contracts for its assets and liabilities. (10marks) Calculate: i. The durations of assets and liabilities. ii. The expected economic net interest income. iii. The bank's duration GAP. iv. Market value of the commercial loan, Treasury bond, time deposit and certificate of deposit (round-off values to zero decimals) v. The change in the market value of assets, liabilities and equity.