medium · FRM Part 2 Market Risk
An analyst is using a Cornish-Fisher expansion to adjust a 99% VaR estimate. The sample shows a mean of 0, standard deviation of 1, negative skewness, and positive excess kurtosis.
How will the Cornish-Fisher quantile (q_CF) compare to the standard normal quantile (z = -2.326)?
- q_CF will remain exactly -2.326 because the mean and variance are unchanged.
- q_CF will be more negative than -2.326, increasing the VaR estimate.
- q_CF will move toward zero because positive kurtosis offsets negative skewness.
- q_CF will be less negative than -2.326, reflecting a 'diversification benefit' from skewness.
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