Correlation

A statistical measure of how two assets move in relation to each other, ranging from -1.0 to +1.0.

Portfolio Management

Definition

Correlation measures the direction and strength of the linear relationship between two assets' returns. +1.0 means perfect co-movement, -1.0 means perfect inverse movement, 0 means no linear relationship. Lower correlations between portfolio holdings enhance diversification benefits. Importantly, correlations are not constant—they tend to increase during market crises when diversification is needed most.

functions Formula

ρ = Cov(X,Y) / (σx × σy)

lightbulb Example

US stocks and bonds have historical correlation of ~0.0 to -0.3, providing good diversification. US and international stocks correlate at ~0.7-0.8—helpful but limited diversification. During 2008, most correlations spiked toward 1.0.

verified_user Key Points

  • Ranges from -1.0 (inverse) to +1.0 (same direction)
  • Lower correlation = better diversification
  • Correlations increase during market crises
  • Not constant—must be monitored over time

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