The assets of a bank consist of $300 million of loans to A-rated corporations with the principals being repayable at maturity. The Probability of Default for the corporation is estimated as 0.4% per year. The loan maturities are three years and the LGD is 45%. 1. What is the total risk-weighted assets for credit risk under the Basel II advanced IRB approach? 2. How much Tier 1 and Tier 2 capital is required?
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- Suppose that the assets of a bank consist of $200 million of retail loans (not mortgages). The PD is 1% and the LGD is 70%. What is the risk-weighted assets under the Basel II IRB approach? What are the Tier 1 and Tier 2 capital requirements?A 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%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 million
- Consider an FI with the following off-balance-sheet items: A two-year loan commitment with a face value of $120 million, a standby letter of credit with a face value of $20 million and trade-related letters of credit with a face value of $70 million. All counterparties have a credit rating of BBB. What is the total capital amount the FI needs to hold against these exposures? (Assume data obtained from 2020 FI records) Select one: A. $5.04 million B. $9.87 million C. $8.4 million D. $7.52 millionConsider an FI with the following off-balance-sheet items: A two-year loan commitment with a face value of $120 million, a standby letter of credit with a face value of $20 million and trade-related letters of credit with a face value of $70 million. All counterparties have a credit rating of BBB. Assuming a required capital ratio of 8%, what is the capital amount the FI needs to hold against these exposures? ANSWER MUST BE 7.52 millionWhich of the following statements is false? A. 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. 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 is a model for the joint distribution of changes in market variables and using historical data to estimate the model parameters.
- An employee at Azai Bank seeks to evaluate a transaction using the risk-adjusted return on capital (RAROC) model. The transaction entails extending a loan to an agro-based entity with the following details:- The risk-free rate of return is 7%- Loss given default (LGD) = 51%- Exposure at default (EAD) = ZMW 2.5 million- Probability of default (PD) = 40 basis points The bank's economic capital (EC) model assesses an EC charge for the firm, equivalent to 5% of EAD, amounting to ZMW 100,000. Assuming a RAROC hurdle rate of 15%, the transaction yields a net profit of ZMW 14,000 before other adjustments. Tasks:A. Calculate the bank’s risk-adjusted rate of return on the loan to the agricultural company. B. Additionally, consider the scenario where the bank could have extended a loan of the same amount, generating an identical net profit of ZMW 14,000 before adjustments to a pharmaceutical products manufacturing firm, with an EC of 2.5%. C. Determine which loan the bank should prioritize…A bank has an adjusted amount of $536 million in high-quality liquid assets, and $425 million in adjusted potential outflows, with an additional $75 million in adjusted derivative risk. What is the bank's LCR?A 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 = Bo - Bi Wealth-B2Credit Score + B3 Number of Bankruptcics Bo = 10, 109.5 %3D B1 = 0.10 %3D B2 = 0.20 %3D B3 = 0.60 %3D 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% O 12.90%
- a) A commercial bank is planning to give a loan of $3,000,000 to a firm. The bank expects to charge an up-front fee of 0.15% and a service fee of 0.04%. The loan has a maturity of 10 years. The cost of funds (and the RAROC benchmark) for the commercial bank is 12%. The commercial bank has estimated the risk premium on the loan to be approximately 0.20%, based on three years of historical data. The current market interest rate for loans in this sector is 12.15%. The 99th (extreme case) loss rate for borrowers of this type has historically run at 4%, and the dollar proportion of loans of this type that cannot be recaptured on default has historically been 85%. The 'bank's Return on Equity (ROE) ratio is 13%. Using the risk-adjusted return on capital (RAROC) model, should the commercial bank make the loan? Please show each step of your calculation.Suppose a bank enters a repurchase agreement in which it agrees to buy Treasury securities from a correspondent bank at a price of $31,950,000, with the promise to buy them back at a price of $32,000,000. a. Calculate the yield on the repo if it has a 5-day maturity. b. Calculate the yield on the repo if it has a 15-day maturity. (For all requirements, use 360 days in a year. Do not round intermediate calculations. Round your percentage answers to 5 decimal places. (e.g., 32.16161)) a. b. X Answer is complete but not entirely correct. Yield on the repo Yield on the repo 1.02857 % 0.34286 %Suppose a bank enters a repurchase agreement in which it agrees to buy Treasury securities from a correspondent bank at a price of $25,950,000, with the promise to buy them back at a price of $26,000,000. a. Calculate the yield on the repo if it has a 5-day maturity. b. Calculate the yield on the repo if it has a 15-day maturity. (For all requirements, use 360 days in a year. Do not round intermediate calculations. Round your percentage answers to 5 decimal places. (e.g., 32.16161)) Yield on the repo a. % b. Yield on the repo