Homework Answers
It is worth note that to eliminate the interest risk, the duration gap of assets and liabilities must be zero.
Duration gap = Duration of Assets - [ Duration of Liabilities * Liability/Assets ]
Computation of New duration of liabilities so that Duration gap must be ZERO
We can move as follows,
0 = 5 - DURL(90/100)
DURL (90/100) = 5
DURL = (5*100)/90
DURL = 5.56
ASSETS :A=$100m Liabilities: L=$90m E= $10m a. Assume that the average duration of assets is 5...
ASSETS :A=$100m Liabilities: L=$90m E= $10m a. Assume that the average duration of assets is 5 while the average duration of liabilities is 3 years. You are the liability manager of the bank and your boss is unhappy about the interest rate risk. How should you change the duration of the liability side to eliminate all interest rate risk? Provide your answer by calculating the new liability duration with two decimals. b. Assume that the average duration of assets is...
QUESTION 6 You are assessing the interest rate risk of following balance sheet. Assets Liabilities A-...
QUESTION 6 You are assessing the interest rate risk of following balance sheet. Assets Liabilities A- $100 m L- $90 m E $10 m Assume that the average duration of assets is 5 years, while the average duration of liabilities is 3 years. What would happen to the banks' equity if, interest rates were decreasing from 10% to 9%? Calculate the change in millions of dollars, e.g. "1" for $1 mlion. For increases just write the number, for decreases add...
Suppose you are the manager of a bank whose $100 billion of assets have an average...
Suppose you are the manager of a bank whose $100 billion of assets have an average duration of four years and whose $90 billion of liabilities have an average duration of six years. Conduct a duration analysis for the bank, and show what will happen to the net worth of the bank if interest rates rise by 2 percentage points. What actions could you take to reduce the bank's interest-rate risk?
A bank has total liabilities of $120 billion and total assets of $150 billion. The average...
A bank has total liabilities of $120 billion and total assets of $150 billion. The average duration of its liabilities is 3.9 years and the average duration of its assets is 8.2 years. If interest rate increases by 11%, what is the total change in net worth (in billions of $) of the bank? Round your answer to at least 2 decimal places. Insert a positive number to represent an increase in net worth and a negative number for a...
Market Value Market Value Duration (Years) Assets Rate Rate Liabilities Duration and (Years) Equity Time Deposits...
Market Value Market Value Duration (Years) Assets Rate Rate Liabilities Duration and (Years) Equity Time Deposits 2.50 CDs 5.00 Equity 4% 6% 1.25 3.00 Cash Loans T-Bonds Total $ $ $ $ 150 675 175 1,000 10% 5% $ $ $ 500 400 100 1,000 Use the following bank information for questions a) – e). a) What is the weighted average duration of assets? b) What is the bank's duration gap? c) What is the bank's weighted average cost of...
3. Hedge Row Bank has the following balance sheet (in millions): $ 189 $210 Liabilities Assets...
3.
Hedge Row Bank has the following balance sheet (in millions): $ 189 $210 Liabilities Assets Equity 21 $ 210 $210 Total Total The duration of the assets is 7 years and the duration of the liabilities is 5 years. The bank is expecting interest rates to fall from 10 percent to 9 percent over the next year. a. What is the duration gap for Hedge Row Bank? (Round your answer to 2 decimal places. (e.g., 32.16)) b. What is...
Hedge Row Bank has the following balance sheet (in millions): Assets $135 $150 Liabilities Equity $150...
Hedge Row Bank has the following balance sheet (in millions): Assets $135 $150 Liabilities Equity $150 Total 15 Total Sise The duration of the assets is 6 years and the duration of the liabilities is 4 years. The bank is expecting interest rates to fall from 10 percent to 9 percent over the next year. a. What is the duration gap for Hedge Row Bank? (Round your answer to 1 decimal place. (e.g.. 32.1)) b. What is the expected change...
Hedge Row Bank has the following balance sheet (in millions Assets $150 Liabilities _Equity $150 Total...
Hedge Row Bank has the following balance sheet (in millions Assets $150 Liabilities _Equity $150 Total Total The duration of the assets is 6 years and the duration of the liabilities is 4 years. The bank is expecting interest rates to fall from 10 percent to 9 percent over the next year. a. What is the duration gap for Hedge Row Bank? (Round your answer to 1 decimal place. (e.g. 32.1)) b. What is the expected change in net worth...
The bank balance sheet below lists the categories of assets and liabilities, along with the total...
The bank balance sheet below lists the categories of assets and liabilities, along with the total amount of each category, and the amount in each category that is "interest rate sensitive" or repriced within one year. Calculate the existing Dollar Gap for the bank. Next, calculate the effect (change) on this bank's Net Interest Income if interest rates fall or decrease by 1 percentage point or 100 bp. "%" denotes either the current interest rate earned earned or paid on...
Wales Bank - Summary Balance Sheet, £m Interest Assets Yield Rates Liabilities Rate-sensitive 500 6.0% 600...
Wales Bank - Summary Balance Sheet, £m Interest Assets Yield Rates Liabilities Rate-sensitive 500 6.0% 600 2.0% Fixed-rate 350 9.0% 220 4.0% Non-earning/Non-paying 150 0.0% 100 0.0% Total 920 Equity 80 Total 1.000 1,000 [ii] The Monetary Policy Committee at the Bank of England has raised interest rates by 0.5%. To determine interest rate risk, use GAP analysis to show the effect of the rise in rates on the profitability of Wales Bank. [5 marks] Wales Bank -Summary Balance Sheet,...
QUESTION 6 You are assessing the interest rate risk of following balance sheet. Assets Liabilities A- $100 m L- $90 m E $10 m Assume that the average duration of assets is 5 years, while the average duration of liabilities is 3 years. What would happen to the banks' equity if, interest rates were decreasing from 10% to 9%? Calculate the change in millions of dollars, e.g. "1" for $1 mlion. For increases just write the number, for decreases add...
Suppose you are the manager of a bank whose $100 billion of assets have an average duration of four years and whose $90 billion of liabilities have an average duration of six years. Conduct a duration analysis for the bank, and show what will happen to the net worth of the bank if interest rates rise by 2 percentage points. What actions could you take to reduce the bank's interest-rate risk?
Market Value Market Value Duration (Years) Assets Rate Rate Liabilities Duration and (Years) Equity Time Deposits 2.50 CDs 5.00 Equity 4% 6% 1.25 3.00 Cash Loans T-Bonds Total $ $ $ $ 150 675 175 1,000 10% 5% $ $ $ 500 400 100 1,000 Use the following bank information for questions a) – e). a) What is the weighted average duration of assets? b) What is the bank's duration gap? c) What is the bank's weighted average cost of...
3.
Hedge Row Bank has the following balance sheet (in millions): $ 189 $210 Liabilities Assets Equity 21 $ 210 $210 Total Total The duration of the assets is 7 years and the duration of the liabilities is 5 years. The bank is expecting interest rates to fall from 10 percent to 9 percent over the next year. a. What is the duration gap for Hedge Row Bank? (Round your answer to 2 decimal places. (e.g., 32.16)) b. What is...
Hedge Row Bank has the following balance sheet (in millions): Assets $135 $150 Liabilities Equity $150 Total 15 Total Sise The duration of the assets is 6 years and the duration of the liabilities is 4 years. The bank is expecting interest rates to fall from 10 percent to 9 percent over the next year. a. What is the duration gap for Hedge Row Bank? (Round your answer to 1 decimal place. (e.g.. 32.1)) b. What is the expected change...
Hedge Row Bank has the following balance sheet (in millions Assets $150 Liabilities _Equity $150 Total Total The duration of the assets is 6 years and the duration of the liabilities is 4 years. The bank is expecting interest rates to fall from 10 percent to 9 percent over the next year. a. What is the duration gap for Hedge Row Bank? (Round your answer to 1 decimal place. (e.g. 32.1)) b. What is the expected change in net worth...
Wales Bank - Summary Balance Sheet, £m Interest Assets Yield Rates Liabilities Rate-sensitive 500 6.0% 600 2.0% Fixed-rate 350 9.0% 220 4.0% Non-earning/Non-paying 150 0.0% 100 0.0% Total 920 Equity 80 Total 1.000 1,000 [ii] The Monetary Policy Committee at the Bank of England has raised interest rates by 0.5%. To determine interest rate risk, use GAP analysis to show the effect of the rise in rates on the profitability of Wales Bank. [5 marks] Wales Bank -Summary Balance Sheet,...
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