B. 20 BP = 0.2% C. Basel I is increasing the amount of capital that banks are required to hold and the proportion of that capital that must be equity. D. Model-building approach
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Which of the following statements is false?
Basel II use the value at risk (VaR) with a one-year time horizon and a 99.9% confidence level for calculating capital for credit risk and operational risk.
20 BP = 0.2%
Basel I is increasing the amount of capital that banks are required to hold and the proportion of that capital that must be equity.
Model-building approach is a model for the joint distribution of changes in market variables and using historical data to estimate the model parameters.
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- The following question illustrates the APT. Imagine that there are only two pervasive macroeconomic factors. Investments X, Y, and Z have the following sensitivities to these two factors: Investments b1 b2 X 1.75 0.25 Y 1.00 2.00 Z 2.00 1.00 Assume that the expected risk premium is 4% on factor 1 and 8% on factor 2. Treasury bills offer zero risk premium. a. According to the APT, what is the risk premium on each of the three stocks? b. Suppose you buy $200 of X and $50 of Y and sell $150 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? c. Suppose you buy $80 of X and $60 of Y and sell $40 of Z. What is the sensitivity of your portfolio to…1. (Without loss of generality assume that the expected/maximal exposures mentioned here correspond to a single time point in future, T.) Bank A uses for economic capital (EC) a measure equal to: 1.4 * EPE. Bank B, instead, uses the weighted average: 70% * EPE + 30% * ME. How small (or, indeed, how big?) does the ME (maximal exposure) need to be, relative to the EPE, for Bank A to end up putting aside (for this specific EC aspect) more EC than Bank B?The following question illustrates the APT. Imagine that there are only two pervasive macroeconomic factors. Investments X, Y, and Z have the following sensitivities to these two factors: Investments b1 b2 X 1.75 0.25 Y 1.00 2.00 Z 2.00 1.00 Assume that the expected risk premium is 4% on factor 1 and 8% on factor 2. Treasury bills offer zero risk premium. Required 1.According to the APT, what is the risk premium on each of the three stocks? 2. Suppose you buy $200 of X and $50 of Y and sell $150 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? 3. Suppose you buy $80 of X and $60 of Y and sell $40 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? 4. Finally, suppose you buy $160 of X and $20 of Y and sell $80 of Z. What is your portfolio’s sensitivity now to each of the two factors? And what is the expected risk premium?
- H10. Assume that initially, the risk premium, ρ = 0 and that the domestic and foreign interest rates are given by R = .06, R* = .05. Suppose that the risk premium depends linearly on the difference between domestic government debt, B, and domestic assets of the central bank, A, i.e., ρ = ρ (B-A) Find the new domestic interest rate if a sterilized purchase of foreign assets adjusts A s.t. (a) B - A = -.01/ ρ0 (b) B - A = .03/ ρ0The following question illustrates the APT. Imagine that there are only two pervasive macroeconomic factors. Investments X, Y, and Z have the following sensitivities to these two factors: Investment b1 b2 X 1.75 0 Y −1.00 2.00 Z 2.00 1.00 We assume that the expected risk premium is 7.8% on factor 1 and 11.8% on factor 2. Treasury bills obviously offer zero risk premium. According to the APT, what is the risk premium on each of the three stocks? Suppose you buy $500 of X and $125 of Y and sell $375 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? Suppose you buy $200 of X and $150 of Y and sell $100 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? Finally, suppose you buy $400 of X and $50 of Y and sell $200 of Z. What is your portfolio's sensitivity now to each of the two factors? And what is the expected risk premium?Consider the following information about the various states of the economy and the returns of various investment alternatives for each scenario. Answer the questions that follow. Question 1 Fill in the parts in the above table that are empty. Using the data generated in the previous question (Question 1); Plot the Security Market Line (SML) 2. Superimpose the CAPM’s required return on the SML % Return on T-Bills, Stocks, and Market Index State of the Economy Probability T- Bills Phillips Pay- up Rubber- made Market Index Recession 0.2 7 -22 28 10 -13 Below Average 0.1 7 -2 14.7 -10 1 Average 0.3 7 20 0 7 15 Above Average 0.3 7 35 -10 45 29 Boom 0.1 7 50 -20 30 43 Mean Standard Deviation Coefficient of Variation Covariance with MP…
- Suppose that the assets of a bank consist of $100 million of loans of BBB-rated corporations. The PD for the corporations is estimated as 1%. The average maturity is five years and the LGD is 60%. What is the total risk-weighted assets for credit risk under the Basel II advanced IRB approach? Question 5Answer a. $178.1 million b. $13.2 million c. $165.4 million d. $100 millionIf a bank has a positive repricing gap (RSAs > RSLs), then: Does this bank have reinvestment or refinancing risk? If interest rates increase, net interest income will: A. Reinvestment risk, increase B. Reinvestment risk, decrease C. Refinancing risk, increase D. Refinancing risk, decreaseA financial institution uses a loan base rate of 4.35% and sets the credit risk premium at 6.68%. The institution charges a 1.5% loan origination fee and imposes 3.22% compensating balances. The required reserves for this institution are 10%. Additionally suppose your institution specifies the following linear probability model to estimate the probability of default: PD=80-8₁ Wealth - B₂Credit Score + B3 Number of Bankruptcies Bo= 10, 109.5 8₁0.10 B₂ = 0.20 B3 = 0.60 Use the information above to answer the question. What is the gross rate of return on the loan? O 9.31% O 11.03% O 12.53% 12.90%
- The estimated factor sensitivities of Alpha PLC to Fama-French factors and the risk premia associated with those factors are given in the table below: Factor Sensitivity Risk Premium (%) Market factor 1.20 4.5% Size factor -0.50 2.7% Value factor -0.15 4.3% Required: 1.Based on the Fama-French model, calculate the required return for Alpha PLC using these estimates. Assume that the Treasury bill rate is 4.7 percent. 2. Describe the expected style characteristics of Alpha PLC based on its factor sensitivities.Q (B) Which of the following statements about central bank objectives are true? A. Central banks can have several objectives, but their actions need to provide a “nominal anchor” for the economy B. All statements are true C. A strict inflation target is a way to provide a “nominal anchor” for the economy D. In principle, one of the goals of a central bank could be to slow down climate changeIf ABC Bank’s ALCO targets the market value of shareholders’ equity in its interest rate risk management, is the bank positioned to gain or lose if interest rates fall? If interest rates rise by 1% for all assets and liabilities, what is the approximate expected change in the bank’s economic value of equity? Provide a specific transaction that the bank could implement in order to immunize its interest rate risk exposure.