
Explanation:
Bootstrapping involves repeatedly sampling with replacement from the historical data or residuals to build an empirical distribution. To properly capture the confidence intervals for a GARCH VaR model, the GARCH parameters (e.g., variance equation weights) must ideally be re-estimated for every single generated bootstrap sample. Since GARCH estimation relies on iterative maximum likelihood procedures, repeating this for thousands of bootstrap samples is highly computationally intensive.
Option D is incorrect because bootstrapping is specifically used to avoid relying on the assumption of normally distributed residuals. Option C is incorrect because bootstrapping historical data actually incorporates the extreme events present in that data. Option A is not the primary significant challenge compared to computational intensity.
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Q.1 A bank is using bootstrap techniques to estimate the confidence intervals for its GARCH VaR model. Which of the following is a significant challenge associated with this approach?
A
The potential for biased VaR estimates due to the resampling process.
B
The computational intensity of re-estimating the GARCH model for each bootstrap sample
C
The difficulty in capturing the impact of extreme market events present in the historical data.
D
The reliance on the assumption of normally distributed standardized residuals.
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