FRM Part I · FRM Exam Part I · Operational Risk
Which statement best describes why extreme value theory (EVT), such as the peaks-over-threshold method with a generalized Pareto distribution, is used in operational risk severity modeling?
EVT is used because operational losses have heavy tails and standard distributions fit the extreme losses poorly. The peaks-over-threshold method fits a generalized Pareto distribution to losses above a high threshold, concentrating on the tail that determines high-percentile capital.
- AIt models only the tail of losses above a high threshold, where body-fitting distributions often fit poorlyCorrect
- BIt removes the need to set any threshold in the data
- CIt guarantees that the aggregate loss distribution is normal
- DIt models loss frequency using a Poisson process only
Explanation
Peaks-over-threshold fits a generalized Pareto distribution to exceedances above a high threshold, focusing on the tail that drives high-percentile capital. It requires choosing a threshold, does not make aggregate losses normal, and addresses severity rather than frequency.
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