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Communicating a parametric normal loss result

A useful report distinguishes an assumed normal calculation from evidence about observed exposures.

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Name what was modeled

State the loss quantity, unit, horizon, exposure basis, input source and normal-law status. If the inputs are hypothetical, retain that label. A displayed quantile alone does not identify its distribution or estimator.

Give a precise original summary

For a declared same-horizon normal loss law with mean 0 and dispersion 10 units, 95% VaR is about 16.448536 and ES 20.627128 units. The selected tail probability is 5%; the normal law has unbounded support.

Make unresolved questions actionable

Reviewer follow-up
IssueRequired record
Mixed input unitsCorrect loss transformation and dispersion basis
Unknown shapeDistribution assumption or assessment evidence
Portfolio aggregationJoint law and exposure transformation
Horizon changeAdditive/dependence model or new loss record
Unexpected signMean and positive-loss convention

Keep the result in its stated context

An algebraically correct normal-model summary does not certify a regulatory implementation or establish the largest possible real-world loss. Preserve the specific missing evidence so another reviewer can assess the intended model use.

Further references