FRM Part II · FRM Exam Part II · Market-Driven Scenarios: An Approach for Plausible Scenario Construction
Two scenarios are applied to a portfolio. Scenario A shocks equities by -30% and implies a portfolio loss of 15% with a Mahalanobis distance (a measure of how unusual the joint move is relative to history) of 3.0. Scenario B shocks credit spreads and implies a loss of 12% with a Mahalanobis distance of 1.5. The risk manager must pick one scenario for a limit framework that targets severe but plausible events. Which conclusion is best supported?
Scenario A has a bigger loss but a much larger Mahalanobis distance, meaning it is a rarer, less plausible joint move. Scenario B is more plausible but less severe. Which to use depends on the plausibility level the limit framework targets, not on loss size alone.
- AScenario A is preferred because it has the larger loss regardless of plausibility
- BScenario B is more plausible but less severe, so the choice depends on the target plausibility level; A is the more extreme and less likely eventCorrect
- CBoth are equally plausible because their losses are within 3 percentage points
- DScenario B must be discarded because its distance is below 2
Explanation
A larger Mahalanobis distance means a more unusual, less likely joint move. A has the larger loss but is less plausible; B is more plausible but less severe. Selecting depends on the plausibility level the framework targets, and loss size alone does not settle it.
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