Suppose a bank 's assets have an average duration of years, and its liabilities have an average duration of 5 years. Since this bank has a positive duration gap, in market interest rates will decrease bank capital. Select one: O 2; an increase • 10: a decrease O 2; a decrease 10; an increase
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- Suppose SBD Bank has RSA of $150m and RSL of $140m. If interest rates rise by 1 percent on both RSAs and RSLs, what would be the expected annual change in net interest income (ΔNII) based on $GAP? Show your work.Suppose SBD Bank has RSA of $150m and RSL of $140m. If interest rates rise by 1 percent on both RSAs and RSLs, what would be the expected annual change in net interest income (ΔNII) based on $GAP? Show your work. ( How a commercial bank’s value would be affected by an increase in economic growth?If the interest rates go up by 1%, using the duration and convexity rule to determine the net worth of the bank and the equity to asset ratio
- The 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…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%*Using Matlab* The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(nt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?
- 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.Assume a firm makes a $ deposit into a short-term investment account. If this account is currently paying %, (yes, that's right, less than 1% !), what will the account balance be after 1 year?Optimizing economic agents use the real interest rate when thinking about the economic costs and returns of a loan. Suppose the average rate paid by banks on savings accounts is 0.65% at a time when inflation is around 1.45%. For the average saver, the real rate of interest on his or her savings is %. (Round your response to two decimal places and use a minus sign if necessary.) If banks expect that the rate of inflation in the coming year will be 4.45% and they want a real return of 5.5% on a certain category of loans, then the nominal rate they should charge borrowers on those loans is %. (Round your response to two decimal places. If the economy experiences an unexpectedly high rate of inflation, the group that would tend to benefit is O A. debtors (people or businesses who owe money) O B. creditors (people or institutions that are owed money) O C. both would benefit equally. O D. neither benefits.
- Based on the information above,(a) Do you agree that REC Bank’s net worth will increase when interest rate rises? Justify your answer with an appropriate analysis. (b) Evaluate the impact of reducing interest rate from 10 percent to 8 percent on the net worth of REC Bank.Assume that a bank has a total of $20million of small exposures of a certain type with one year probability of default at 5% and the recovery rate averages 30%. Estimate the 99% one-year credit VaR using Vasicek’s model if the copula correlation parameter is 0.3. What is the Credit VaR?Optimizing economic agents use the real interest rate when thinking about the economic costs and returns of a loan. Suppose the average rate paid by banks on savings accounts is 0.45% at a time when infialion is around 0 9% For the average saver, the real rate of interest on his or her savings is % (Round your response to two decimal places and use a minus sign if necessay.) Il banks expect that the rate of inflation in the coming year will be 3.9% and they want a real return of 8% on a certain category of loans, then the nominal rate they should charge borrowers on those loans is %. (Round your response to two decimal places) 11 the economy experiences an unexpectedly high rate of inflation, the group that would tend to benefit is O A. creditors (people or institutions that are owed money). O B. deblors (pcople or businesses who owe moncy). OC. both would benefit cgqually O D. neilher bencfits.