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Which method is used to calculate Credit VaR through simulations?

  1. Using the Monte Carlo method with fixed probabilities

  2. Using a copula function to simulate joint defaults

  3. Using historical loss data exclusively

  4. Utilizing linear regression analysis for forecasts

The correct answer is: Using a copula function to simulate joint defaults

The correct choice is the use of a copula function to simulate joint defaults, which is a crucial method in calculating Credit Value at Risk (VaR) through simulations. Copula functions are used to model the dependency structure between different credit entities, thereby allowing analysts to simulate the joint behavior of defaults across a portfolio of different credit exposures. This joint simulation is essential as it captures the correlations and underlying risks among different borrowers, which can lead to systemic risk during periods of financial distress. In the context of Credit VaR, understanding how multiple entities might default simultaneously enhances the accuracy of risk assessments and enables financial institutions to better quantify potential losses within specific time frames. Other methods listed may have their own applicability within credit risk modeling but do not specifically align with the simulation of joint defaults in the context of Credit VaR calculation. For example, relying exclusively on historical loss data may not adequately represent future risks, especially in changing market conditions. Utilizing linear regression analysis for forecasts focuses on predicting losses based on previous relationships, but it does not consider the joint distribution of defaults among multiple credit exposures. Lastly, employing the Monte Carlo method with fixed probabilities would not effectively capture the dynamic nature of credit correlations since it ignores the nuances of varying dependencies among borrowers.