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 $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 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.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. 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 million
- 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%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 millionAn 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%Suppose that some commercial bank has $100M in deposits and $20M in capital. Assuming a 10% minimum reserve ratio, what is the maximum amount of loans and securities this bank can own? (exclude inter-bank loans as a possibility for this question)
- 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
