Engle-Granger Two-Step Method

The Engle-Granger Two-Step Method is a statistical procedure used to determine if a long-term equilibrium relationship exists between two or more non-stationary time series variables. In the context of financial derivatives and cryptocurrency, it is often employed to test for cointegration between assets, such as a spot price and its corresponding futures contract.

The first step involves estimating the long-run equilibrium relationship using ordinary least squares regression. If the residuals from this regression are found to be stationary, the variables are considered cointegrated.

The second step involves using these residuals in an error correction model to analyze short-term dynamics and the speed of adjustment back to the long-run equilibrium. This method is vital for identifying arbitrage opportunities where price deviations are temporary.

By understanding the cointegration, traders can develop mean-reversion strategies that account for the structural relationship between assets. It provides a rigorous framework for separating noise from meaningful price convergence.

This approach is fundamental for quantitative analysts modeling cross-exchange price parity.