Cointegration

A statistical property where two non-stationary time series share a long-run equilibrium relationship.

Quantitative Finance

Definition

Cointegration means two price series that individually wander randomly (non-stationary) maintain a stable spread over time. This is stronger than correlation—two series can be highly correlated without being cointegrated, and vice versa. The Engle-Granger or Johansen test identifies cointegrated pairs. Cointegration is the statistical foundation for pairs trading and spread strategies.

lightbulb Example

Gold futures and gold mining stock prices are cointegrated: both can trend up or down independently, but the ratio between them reverts to a stable mean. When the ratio deviates 2+ standard deviations, a pairs trade captures the reversion.

verified_user Key Points

  • Stronger relationship than correlation
  • Two non-stationary series with stationary spread
  • Foundation for pairs trading strategies
  • Engle-Granger and Johansen tests identify cointegrated pairs

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