Cointegrating Vector

A cointegrating vector is the set of coefficients that, when applied to a group of non-stationary time series, creates a stationary linear combination. These coefficients represent the weights assigned to each asset in a portfolio to neutralize the underlying stochastic trends.

In a crypto-derivatives trading strategy, the vector defines the exact ratio of long and short positions needed to create a market-neutral spread. If the assets are cointegrated, the cointegrating vector provides the equilibrium relationship that the prices are expected to return to over time.

Determining this vector accurately is vital for risk management and capital allocation. If the vector is miscalculated, the portfolio will remain exposed to the market factor it intended to hedge.

Quantitative analysts use methods like Johansen tests or Engle-Granger procedures to estimate these coefficients from historical data. Once identified, the vector is monitored to ensure the relationship remains intact.

Changes in market microstructure or liquidity can shift the vector, requiring traders to rebalance their positions.