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Answer: If the confidence level for both banks is increased, the level of economic capital needed for Bank ABC and for Bank XYZ will both increase.
The correct answer is A. Economic capital is an amount of capital that a financial institution holds to protect itself against unexpected losses. It is calculated based on the institution's risk profile, which includes factors such as credit risk, market risk, and operational risk. In this case, the economic capital needed for credit risk is being evaluated. The confidence level is a measure of the probability that the economic capital will be sufficient to cover the unexpected losses. A higher confidence level means that the institution wants to be more certain that it will have enough capital to cover losses, which requires holding more economic capital. Conversely, a lower confidence level means that the institution is willing to accept a higher risk of not having enough capital, so it can hold less economic capital. Since Bank ABC has a lower average pairwise default correlation between its credit assets compared to Bank XYZ, it has a lower risk of simultaneous defaults and therefore requires less economic capital to cover its credit risk. However, the economic capital needed for both banks will still be affected by the confidence level. If the confidence level for both banks is increased, the level of economic capital needed for both Bank ABC and Bank XYZ will increase. This is because a higher confidence level implies a higher capital multiplier is applied to the unexpected loss (UL), which increases the amount of economic capital required. Option B is incorrect because decreasing the confidence level would result in a lower capital multiplier and thus a lower level of economic capital needed for both banks. Option C is incorrect because it contradicts the explanation for option B. A higher confidence level would not decrease the economic capital needed for Bank ABC. Option D is incorrect because even if the confidence level is kept unchanged, the level of economic capital needed for Bank XYZ will be higher than that for Bank ABC due to its higher asset correlation and volatility of UL. In summary, the correct statement is that if the confidence level for both banks is increased, the level of economic capital needed for both Bank ABC and Bank XYZ will increase.
Author: LeetQuiz Editorial Team
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A credit risk analyst at a credit assessment firm is evaluating the economic capital for credit risk for two competing regional banks, Bank ABC and Bank XYZ. Both banks have the same credit asset exposure, duration of credit exposure, credit ratings, and expected losses. It is known that the average pairwise default correlation among the credit assets of Bank ABC is lower than that of Bank XYZ. Additionally, both banks maintain an identical predetermined confidence level for risk tolerance. Which of the following statements would be correct in this context?
A
If the confidence level for both banks is increased, the level of economic capital needed for Bank ABC and for Bank XYZ will both increase.
B
If the confidence level for both banks is decreased, the level of economic capital needed will increase for Bank ABC but will decrease for Bank XYZ.
C
If the confidence level for both banks is increased, the level of economic capital needed will decrease for Bank ABC but will increase for Bank XYZ.
D
If the confidence level for both banks is kept unchanged, the level of economic capital needed for Bank ABC and for Bank XYZ will be equal.