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What Is the Main Risk of Using Options to Hedge a Long-Term Position That Is Not Perfectly Correlated?

The main risk is basis risk. If the asset being hedged (e.g. a specific altcoin) is not perfectly correlated with the underlying asset of the option (e.g.

BTC), the hedge will be imperfect. The price of the hedged asset may move adversely while the option's value does not fully compensate, leading to unexpected losses.

How Does the Concept of ‘Basis Risk’ Affect an OTC Desk’s Hedging Strategy?
How Does the Concept of “Basis Risk” Relate to Derivative Hedging?
Explain the Concept of Basis Risk in Derivatives
What Is Basis Risk in the Context of Hedging with Futures?