Explanation:
Vasicek's model, often known as the one-factor model, uses asset correlation to model default correlations. In Vasicek's framework, the default probability of each entity is influenced by a common systematic factor and an idiosyncratic factor. The systematic factor affects all entities in the portfolio, thus introducing correlation among defaults. The extent of default correlation is modeled using asset correlation, which estimates the likelihood of simultaneous defaults based on the common movements in asset values influenced by the market or economic factors.
A is incorrect as Vasicek's model traditionally uses a one-factor model, not multiple Gaussian copulas, to represent economic conditions affecting default probabilities.
B is incorrect as CreditMetrics does not use a single-factor model; instead, it employs a Gaussian copula approach, which can consider multiple factors and complex interdependencies between different credit entities.
D is incorrect because, while CreditMetrics uses a Gaussian copula to model default correlations, it does not specifically use sector-based risk adjustments but instead focuses on broader economic or market conditions affecting entities.
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Q.6044 Which of the following statements is correct about the modeling of default correlation in CreditMetrics and Vasicek’s model?
A
Vasicek's model calculates default correlation using multiple Gaussian copulas to reflect varying economic conditions across sectors.
B
CreditMetrics employs a single-factor model that simplifies the correlation of defaults to a common economic influence affecting all entities equally.
C
Vasicek's model uses a single systematic factor that represents overall economic conditions to model default correlations, affecting all entities in the portfolio.
D
CreditMetrics uses sector-based risk adjustments in addition to a Gaussian copula for modeling the default correlations specifically tied to individual industries.
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