Skip to content

FRM Part II · FRM Exam Part II · Empirical Properties of Correlation: How Do Correlations Behave in the Real World?

A risk manager at a multi-asset fund notes that the equity-bond return correlation estimated over a calm five-year window is -0.30, but during the most recent market sell-off the realized correlation turned strongly positive. Which conclusion is most consistent with the empirical evidence on correlation behavior?

Correlations are unstable and can change regime during stress, so a calm-period equity-bond estimate can overstate the diversification benefit. Empirical evidence shows correlations vary over time and can move sharply, though not always to exactly +1, so risk models need stress-sensitive correlation assumptions.

  1. ACorrelations are constant over time, so the sell-off reading is sampling noise and should be ignored
  2. BCorrelations are unstable and can shift regime during stress, so a single historical estimate can overstate diversification benefitsCorrect
  3. CCorrelations between asset classes always converge to exactly +1 in a sell-off
  4. DCorrelation instability only affects fixed income portfolios and not equity portfolios

Explanation

Empirical studies show correlations vary over time and can change sign or level in stress periods. Relying on a calm-period estimate can overstate diversification. Correlations do not always go to exactly +1, and the instability is not limited to fixed income.

Did you get it right without looking?

One question tells you little. A timed set on Empirical Properties of Correlation: How Do Correlations Behave in the Real World? shows your real accuracy, how long you take and where you lose marks.

More Empirical Properties of Correlation: How Do Correlations Behave in the Real World? questions