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 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%2Fa96f1961-a186-445d-a268-b7eeb8988ffe%2Fc01b67f1-54cc-4328-b838-45bcce47c765%2F3ez0wak_processed.jpeg&w=3840&q=75)
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- ???6. 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, what is the effect on the net worth of the bank? Make sure to show your workA 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)?
- Hy expert give me solution this questionUbu Bank has the following assets and liabilities : Asset X has a maturity of 3 years and a market value of $600,000 and asset Y has a maturity of 9 years and a market value of $500,000. Liability A has a maturity of 2 years and a market value of $700,000 and liability B has a maturity of 8 years and a market value of $700,000. What is the maturity gap of the bank ? Round your final answer to 2 decimal places. E.g. if the final answer is -3.59 years, type -3.59 in the answer box. If the final answer is 3.59 years, type 3.59 in the box .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.
- Suppose the Royal Bank of Pullman has the following assets: cash = 100 (with modified duration of 0) and a 10-year loan worth $900 (with modified duration of 9). Its liabilities are a CD worth $800 (with a modified duration of 2). If interest rates rise by 1% the bank's equity will fall by ________ %. A. 9 B. 5.6 C. 2 D. 6.5Use 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 has an interest rate spread of 150 basis points on $30 million in earning assets funded by interest-bearing liabilities. However, the interest rate on its assets is fixed and the interest rate on its liabilities is variable. If all interest rates go up 50 basis points, the bank's new pretax net interest income will be __________. a. $600,000 b. $450,000 c. $300,000 d. $250,000 e. $175,000 Clear my choice
- 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 has DA = 2.4 years and DL= 0.9 years. The bank has total equity of $82 million and total assets of $850 million. Interest rates are at 6 percent. If interest rates increase 1%, the predicted dollar change in equity value will equal $10,171,698 -$10,171,698 O $12,724,528 -$12,724,528 $4,928,756In 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 $21
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