Assume a bank has $200 million of assets with a duration of 2.5 and $190 million of liabilities with a duration of 1.05. If interest rates increase from 5 percent to 6 percent, the net worth of the bank falls by: A) $1 million. B) $2.4 million. C) $3.6 million. D) $4.8 million.
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Assume a bank has $200 million of assets with a duration of 2.5 and $190 million of liabilities.....
![Assume a bank has $200 million of
assets with a duration of 2.5 and $190
million of liabilities with a duration of
1.05. If interest rates increase from 5
percent to 6 percent, the net worth of
the bank falls by:
A) $1 million.
B) $2.4 million.
C) $3.6 million.
D) $4.8 million.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02b08db1-2c8d-4ba1-af19-69fc7e19842d%2Fe938073a-5ac2-4537-9c7a-6c00bd9df90b%2Fv7xtbxs_processed.jpeg&w=3840&q=75)
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- A bank has earning assets of $100 million including $30 million of securities that pay an interest rate of 3%, and $70 million of loans that pay an interest rate of 6% financed by $100 million of deposits paying an interest rate of 3%. What is the bank's Net Interest Margin (NIM)?A bank has a net income after taxes of $4 million, assets of $200 million, and bank capital of $10 million. What is the bank's return on assets (ROA)? Write your answer as a percent rate.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.
- A bank has an average asset duration of 5 years and an average liability duration of 3 years.This bank has total assets of $500 million and total liabilities of $250 million. Currently,market interest rates are 10 percent. If interest rates fall by 2 percent (to 8 percent), what isthis bank's change in net worth?6A. Net worth will decrease by $31.81 million.B. Net worth will increase by $31.81 million.C. Net worth will increase by $27.27 million.D. Net worth will decrease by $27.27 million.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%A bank's duration gap is 1.92, and the current interest rate used to value all of the bank's assets and liabilities is 5.2%. What is the change in the bank's net worth (in % of TA) if the interest rate changes to 8%?
- A bank is earning 6% on its $150 million in earning assets and is paying 4.75% on its liabilities. The bank's Net Interest Margin is __________________. A. 6.00% B. 10.75% C. 4.75% D. 1.25%In the example below, we will use year-end assets. Bank A receives $70 in deposits at 5% and, together with 40 in equity, makes a loan of $90 at 7%. The remaining of assets is G-Bond. We will ignore taxes for the moment. Bank A Cash Reserves for Deposit ? Loan 7% $90 G-Bond 5% ? Deposits 5% $70 Equity $40 Total Assets $? Total Equity and Deposit $110 If Cash Reserves for deposit is at least 8% of the deposit under the Basel Accord, how much of the G-Bond Bank A should purchase? $17 $14 $16 $18 $20 $15 $19 $21In the example below, we will use year-end assets. Bank A receives $70 in deposits at 5% and, together with 40 in equity, makes a loan of $90 at 7%. The remaining of assets is G-Bond. We will ignore taxes for the moment. NIM=Profit/Interest revenue Bank A Loan 7% $90 G-Bond 5% ? Deposits 5% $70 Equity $40 Total Assets $? Total Equity and Deposit $110 The amount of G-bond is $50 $70 $20 $40 $80 $60 $30 $10
- (c) A bank has 100 in assets and 60 in liabilities. Suppose assets pay on average 6% and liabilities cost 2%. What is the expected rate of return on capital? A. 4% B. 12% C. 8% D. -4%Answer the following questions regarding the balance sheet given below. Assume £1 = $1.40. a) Is this bank net short or net long? b) What is the net interest income (NII) if the value of the £ appreciates to $1.65? c) What is the net interest margin (NIM) if the value of the £ depreciates to $1.15? Liabilities and Equity $800M in USD $200M in GBP Assets $300M in USD $700M in GBP Country US UK Deposit Rate 6% 8% Lending Rate 7% 9%The rates offered by a bank on deposits between $10,000 and $24,999 are shown in the following table: Term 180 to 269 days 270 to 364 days Rate. 3.15% 3.45% How much more will an investor earn from a $10,000 investment in a 364-day GIC than from two consecutive 182-day GICS? Assume that the interest rate on 180- to 269-day GICS will be the same on the renewal date as it is today. Remember that both the principal and the interest from the first 182-day GIC can be invested in the second 182-day GIC. (Use 365 days a year. Do not round the intermediate calculations. Round your final answer to 2 decimal places.) An investor will earn $ more
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