) Based on the table below, calculate the duration gap for the bank. (b) Estimate the change in equity in absolute and percentage terms if interest rates move from their current level of 4% up to 5.25%. Instrument Value Duration Cash 70 0 ARM Mortgages 300 0.15 Fixed Rate Mortgages 200 20 Investments in Securities 100 10 Total Assets 570 Deposits 400 0 Loans from other Banks 100 6 Equity 70 ? Total Liabilities and Equity 570

) Based on the table below, calculate the duration gap for the bank. (b) Estimate the change in equity in absolute and percentage terms if interest rates move from their current level of 4% up to 5.25%. Instrument Value Duration Cash 70 0 ARM Mortgages 300 0.15 Fixed Rate Mortgages 200 20 Investments in Securities 100 10 Total Assets 570 Deposits 400 0 Loans from other Banks 100 6 Equity 70 ? Total Liabilities and Equity 570

Entrepreneurial Finance

6th Edition

ISBN:9781337635653

Author:Leach

Publisher:Leach

Chapter7: Types And Costs Of Financial Capital

Section: Chapter Questions

Problem 1bM

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Use the balance sheet of a bank below to answer the following. The duration of asset is 1.5 years, the duration of liabilities 2 years. Assets Liabilities Required Reserves 8 m Money Market Deposits 50 m Excess Reserves 7 m 3-year CDs 60 m T-bills 85 m Capital 10 m Mortgages 15m Commercial paper 5m What happens to the value of liability if the interest rate goes down by 1%? up by 2% down by 2% O down by 1.36% O up by 1.36%
Use the following to answer questions 3-4: Use balance sheet available for an FI (all in market values). Consumer loans $150 m Liabilities $300 m Commercial Loans $250 m Equity $100 m Total Assets $400 m Total Liabilities & Equity $400 m The average duration of the loans is 8 years. The average duration of the liabilities is 2 years. 3. What is the duration gap of the bank's portfolio? A. 10 years B. 6.3 years C. 6.5 years D. 7.98 years E. 8.0 years 4. What is the change in the value of the FI's equity for a 1 percent increase in interest rates from the current rates of 0.07 (1.e., 7 percent)? Assume flat term structure, and parallel shifts in yield curves. Use the duration concept. A. $17.30987 m B. $19.51818 m C. -S 22.59093 m D. -$23.11114 m E. - $24.29906 m
Eagle Bank has the following interest-sensitive assets and interest-sensitive liabilities. Amount maturing in Amount maturing in 30 days (million) 570 330 116 Interest-sensitive assets Loans Securities 30 days (million) 810 63 Interest rate on interest-sensitive assets is 5% Interest rate on interest-sensitive liabilities is 3% Interest-sensitive liabilities Savings deposits Time deposits Money market The interest rate is expected to rise 1% (for both interest-sensitive assets and liabilities) 30 days later. Will Eagle Bank benefit from the interest rate rise? Explain your answer. Show your calculations.
4. Gap and Duration Analysis Take the following balance sheet, which of the assets and labilities are rate-sensitive? Which assets and liabilities are not? a. Assets Value Liabilities Value Checkable Deposits Savings Deposits Money Market Accounts 40 Long-Term Loans Long-Term Securities 75 26 100 Reserves 54 10 Variable Rate CDs 25 Short-Term Securities Variable-rate Loans 15 30 Long-Term CDs 25 b. What is the estimated rate of change of bank profit, in terms of next year's interest rate, conditional on this year's interest rate being 2%? c. Suppose that all the long-term securities that the bank holds mature in 4 years and their interest rate will be 5% in that year. What is the approximate market-value of these long-term securities in 4 years given this year's interest rate is 2%?
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Ee.19.
A)What is the amount of RSA, RSL and the income gap amount? B) Calculate the duration gap. C)What is the change in this bank’s net income if the interest rises by 1%, does it go up or does it go down? Show work D) What happens when the interest rises by 1% to this bank’s asset value, liability value and the net worth in dollar amounts? Show work.
Consider a bank with the following balance sheet (Shown in image):a) Calculate the equity (total asset – total liability) to asset ratio of the bank(Hint: equity to asset ratio = total equity/total asset) b) Calculate the duration and convexity of the both asset and liability sides; c) If the interest rates go up by 1%, using the duration and convexity rule to determine the networth of the bank and the equity to asset ratio; d) In c)’s scenario, to maintain the equity to asset ratio at 40% which is required by the regulation,the bank decides to raise cash (zero duration and zero convexity) from the equity holders.How much cash does the bank need to raise? e) Do you agree with the following statement? Explain why. “The information about a bond’s duration and convexity adjustment is sufficient to quantifyinterest rate risk exposure.”
Consider a bank with the following balance sheet (M means million): (Image Attached) Calculate the equity (total asset – total liability) to asset ratio of the bank (Hint: equity to asset ratio = total equity/total asset) and calculate the duration and convexity of the both asset and liability sides. Thank You in Advance
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You are analyzing how interest rates affect the equity value of a bank using a duration analysis. After examining the balance sheet of the bank, you noticed that the value of its total assets and liabilities are $400M and $360M, respectively. You also determined that the duration gap of the bank is equal to 4.0 years. Using a duration analysis, you would like to predict the response of the bank’s equity value (in percentage terms) to a 0.1 percent increase in the market interest rate. You decided to assume that a one percentage point change in the rate is approximately equal to a one percent change in the rate. Following this approach, determine the percentage response of the bank’s equity to this change in the market interest rate. Group of answer choices -0.4% -4.0% 0.4% -3.6% -0.1%
Use the following information to answer the question: First National Bank of Beverly Hills (Millions $) Interest rate Assets Amount of return Liab. & Equity Amount Interest Cost Securities %24 325 3.09% Liabilities $1,175 2.5% Loans 925 8.0% Equity Total 125 Non-eaming 50 0.0% S1,300 Total $1,300 First National Bank Industry Average Net interest margin (NIM) Return on Equity (ROE) 2096 4.00%% Tax rate 3496 Overhead Efficiency 0.65 Noninterest Expense Provisions for Loan Losses (PPL) S40 Average Loan Rate (ALR) $3 If the net noninterest income were to change to -$20, what would the average loan rate (ALR) have to be to generate a 20% ROE? Compared to the industry, does this ALR appear feasible? O 6.25%, feasible O 6.25%, not feasible O 8.70%, feasible O 8.70%, not feasible O 7.50%, feasible

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Instrument	Value	Duration

Cash	70	0
ARM Mortgages	300	0.15
Fixed Rate Mortgages	200	20
Investments in Securities	100	10

Total Assets	570


Deposits	400	0
Loans from other Banks	100	6
Equity	70	?

Total Liabilities and Equity	570