Explanation:
The Gaussian copula model is used effectively in this scenario to estimate the probability of simultaneous defaults, transforming individual default probabilities into a joint default scenario using a copula correlation parameter. In this case, the parameter is 0.25. Although the individual probabilities of default for Company A (10%) and Company B (15%) are relatively high, the Gaussian copula model, which utilizes a copula correlation of 0.25, typically indicates that the probability of simultaneous default remains low, largely due to the way this model handles joint probabilities.
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Q.6214 In evaluating the default correlation between two companies, Company A and Company B, a risk analyst utilizes the Gaussian copula model to understand the potential simultaneous default risks. Both companies are affected by similar macroeconomic factors and are considered to have a high interdependence in their financial operations. Assume the cumulative probability of default over 5 years for Company A is 10%, and for Company B it is 15%. The copula correlation parameter is estimated at 0.25. Given this information, which of the following statements is correct?
A
The Gaussian copula model cannot accurately model the default probability because it only transforms the margins to normality but does not handle the dependence structure adequately.
B
Due to the high interdependence and macroeconomic influences, the actual default correlation could be higher than indicated by the Gaussian copula model's estimation.
C
The Gaussian copula model suggests a low probability of simultaneous default despite individual default probabilities.
D
A Gaussian copula model is inappropriate for such assessments because it inherently underestimates the impact of macroeconomic factors on default correlations.
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