medium · FRM Part 1 Foundations of Risk Management
A firm reports that the realized number of 99% one-day VaR exceptions over the past year was almost exactly the expected count, and management cites this as evidence the VaR model is sound. A reviewer counters that the exception count alone can mask a serious model deficiency.
Which deficiency would a correct-count backtest most plausibly fail to detect, and why does it matter most?
- Clustering of the exceptions in a short window, which signals the model fails to capture volatility dynamics and conditional coverage, leaving the firm exposed to runs of breaches even though the unconditional frequency looks correct.
- Systematic overstatement of VaR on calm trading days, which a count test misses entirely because holding excess capital above the true risk level is never penalized and the firm would simply carry a needlessly prudent buffer.
- An error embedded in the mean return assumption used to build the model, which a count test misses because VaR at the 99% confidence level is driven overwhelmingly by the mean rather than by the shape of the underlying distribution's tail.
- Use of a shorter 250-day historical estimation window instead of a longer 500-day window, which a count test misses because window length mainly affects the smoothness of the VaR series over time, not the actual number of exceptions recorded.
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