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Provide an Example of a Scenario That Would Increase Basis Risk.

An example is a sudden, unexpected regulatory announcement affecting only the spot market of a cryptocurrency, but not the derivatives exchange. If the spot price drops sharply due to the news while the futures contract price on a foreign exchange lags in reaction, the basis (difference) widens significantly, increasing basis risk for a hedger.

What Is ‘Basis Risk’ in Perpetual Futures?
Can Regulatory Uncertainty Increase Basis Risk in the Crypto Derivatives Market?
What Is Basis Risk When Using Crypto Futures for Hedging?
How Does Basis Risk Affect the Effectiveness of a Futures Hedge?