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Explanation:
While Vasicek's model itself focuses on individual default probabilities (PD), the Basel II IRB framework builds upon this by incorporating credit correlation (ρ) to account for the interconnectedness of defaults within a portfolio. A higher credit correlation (ρ) signifies that defaults across borrowers in the portfolio are more likely to happen together. This increased chance of multiple loan defaults occurring simultaneously necessitates a larger capital buffer to absorb these potential losses. The Basel II framework uses the credit correlation factor (ρ) alongside PD, LGD, and EAD to calculate regulatory capital requirements. A higher ρ would lead to a higher capital requirement calculated under Basel II IRB.
A is incorrect. A higher ρ indicates less diversified risk and thus would result in higher, not lower, capital requirements.
B is incorrect. A higher ρ actually increases capital requirements because it indicates a higher probability of simultaneous defaults, not better management or understanding of default risks.
C is incorrect. A lower ρ would typically decrease capital requirements because it indicates lower default correlation among borrowers, thus reducing the likelihood of simultaneous defaults, not increasing unpredictability.
Things to Remember
Correlation measures the degree to which two variables move in relation to each other. Correlations range from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 suggests no correlation.
High correlation (near 1) implies that assets tend to move in the same direction, while
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Q.6038 A financial institution is assessing the capital it must hold for a portfolio of commercial loans as part of its compliance with Basel II. The institution decides to apply Vasicek's model, which utilizes the probability of default (PD), losses given default (LGD), exposure at default (EAD), and credit correlation (ρ) to calculate the required capital. How does the credit correlation parameter (ρ) specifically influence the capital requirements derived from Vasicek's model?
A
A higher ρ leads to lower capital requirements since it indicates more diversified default risk across the portfolio.
B
A higher ρ is assumed to reduce capital requirements, as it implies a better understanding and management of default risk within the portfolio.
C
A lower ρ is viewed as increasing capital requirements because it suggests a greater unpredictability in the default patterns, necessitating larger capital reserves.
D
A higher ρ increases capital requirements as it indicates a heightened likelihood of simultaneous defaults within the portfolio.