FRM Part I · FRM Exam Part I · Measuring Return, Volatility, and Correlation
During a market crisis, a risk manager observes that the correlation between two equity indices computed using only days with large absolute returns is much higher than the full-sample correlation. What is the most appropriate interpretation?
Correlation is unstable and tends to rise in stressed markets, so a single full-sample estimate can understate the loss of diversification in a crisis. Risk managers should consider stressed or conditional correlations rather than assuming constant dependence.
- ACorrelations are constant over time, so the full-sample figure is a biased estimate
- BCorrelation is unstable and tends to rise in stressed markets, so a single unconditional estimate may understate diversification loss in crisesCorrect
- CThe result shows the indices are independent in normal times and perfectly dependent in crises
- DThe higher correlation is entirely a sampling artifact and should be ignored
Explanation
Correlation is not stable; it often increases in stressed, high-volatility periods. Relying on the unconditional correlation can understate joint tail losses. Conditioning on large moves also introduces some bias, but the pattern of correlation breakdown is a recognized pitfall.
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