1. 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:

1. Commercial loan
2. Treasury bond
3. Certificate of deposit
4. Time deposit

5. Calculate the weighted average durations of assets and liabilities.
6. Determine the expected economic net interest income.
7. What is the banks duration GAP?

2. Suppose that all interest rates increase immediately by 1 percent after the bank contracts for its assets and liabilities.(10marks) Calculate:

1. 1The durations of assets and liabilities.
2. The expected economic net interest income.
3. The banks duration GAP.
4. Market value of the commercial loan, Treasury bond, time deposit and certificate of deposit (round-off values to zero decimals)
5. The change in the market value of assets, liabilities and equity.