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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- Hy expert give me solution this questionSuppose 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 choiceA 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%?Consider a bank with the following balance sheet Assets Liabilities Required reserves Excess reserves T-bills Commercial loans $ 9 million Checkable deposits $ million Bank capital $ 44 million $ 52 million $ 100 million $ 10 million The bank makes a loan commitment for $15 million to a commercial customer. Before the commitment, the bank's capital ratio equals%. (Round your response to two decimal places.)
- Suppose a bank has $1,000 in deposits and $100 in reserves. If the desired reserve ratio is 5 percent, how much can this bank increase its loans? O a. $50 O b. $80 O c. $0 O d. $400 O e. $100Suppose a bank has the following Balance Sheet Assets Liabilities RSA = 120 RSL = 90 FRL = X FRA = 110 (Fixed rate liabilities can be found if needed by determining what number it must be to balance the balance sheet.) Suppose all the Assets and Liabilities were set last year when the interest rate was 10, if the interest rate has changed by 2% since that time what is the current cost from all of the bank's liabilities? Your Answer:2. Consider the case that a bank borrows funds at 7% for 2 years and lends them at 9% per annum. At the end of year 1, this bank can be viewed as: a) “short-funded” and exposed to reinvestment risk b) “long-funded” and exposed to refinancing riskc) “short-funded” and exposed to refinancing risk d) “long-funded” and exposed to reinvestment risk
- Need answers for D. 1, D. 2, and D. 3The 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 $ moreThe value of a bank account collecting interest which is continuously compounded is modeled by the equation: A = Pet where: A is the value of the account at time t P, or the principal, is the value of the initial investment t is time (measured in years) r is the interest rate (written as a decimal) 1. Suppose that $5000 is put into an account with an interest rate of 8% compounded continuously. a) How much will the account be worth after 3 years (exact value) ? b) How much will the account be worth after 3 years (rounded to the nearest cent) ? c) How many years will it take for the value of the account to double? In an exponential model for population growth, the size of a population at time t is rt described by the equation: N(t) = Net where: N is the initial population or the population at t=0 r is the percentage growth rate t = time and can be measured in different units depending on the problem. Note: You don't have to use e and r. It is often possible to find an equivalent form…