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Question 5. Use the following to answer Questions 5.1-5.15

Bank of Business ($ million)

Assets

91 treasury bills 150 million 2 year commercial loans fixed rate, 9% p.a. 75 million 10 year corporate loans floating rate: LIBOR + 50 bp semi annual roll date 500 million 10 year floating rate mortgages quarterly roll dates 600 million Cash 5 million

Liabilities

1 year certificates of deposit 825 million 5 year bonds 70 million Demand deposits. 50 million Overnight borrowing 50 million 91 day commercial paper 270 million Equity 65 million

NOTES: Commercial paper is a pure discount instrument. The 5 year bonds pay 8.5% p.a. semi-annually with a yield of 7.5% p.a. and have a duration of 4.2 years. The 1 year Certificates of Deposit pay 2.75% p.a. annually. All securities will be rolled over at maturities. All values are market values.

5.1 What is the banks liability to asset ratio?

5.2 What is the maximum amount of loss in the banks lending activities before a bank run will occur?

5.3 What is the banks 91 day cumulative repricing dollar gap?

5.4 What is the impact on the banks net interest income if interest rates rise 5 basis points over the calendar quarter? 5.5 What is the 6 month cumulative repricing dollar gap?

5.6 What is the impact on the banks net interest income if interest rates fall 15 basis points over the next six months?

5.7 How can the bank eliminate its interest rate risk exposure over the next six months via direct refinancing which involves equal amount on both sides of the balance sheet? And what is the

dollar amount involved in each of the transactions?

5.8 What is the duration of the floating rate mortgages?

5.9 What is the duration of the 1 year Certificates of Deposit if they pay 2.75% p.a. interest, compounded annually?

5.10 What is the duration of the 2 year commercial loans if they are selling at par? (Assume annual coupon payments.)

5.11 What is the duration of the banks assets, D(subscript a)?

5.12 What is the duration of the banks liabilities, D(subscript L)?

5.13 What is the banks duration gap, D(subscript G)?

5.14 What is the impact on the banks equity values if interest rates decrease 50 basis points from 5%?

5.15. How is this bank exposed to (i.e. to falling or rising interest rate changes)? How can the bank use direct refinancing to restructure the maturities of its assets or/and liabilities that would modify the D (subscript)G and reduce its exposure to interest rate changes?

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