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How Does the Volatility of the Underlying Asset Affect an Option’s Premium (Vega)?

Higher volatility generally increases an option's premium because it increases the probability of the underlying asset moving significantly, thus increasing the chance the option will expire in-the-money. Vega is the option Greek that measures this sensitivity.

Higher Vega means the option's price is more sensitive to changes in volatility.

How Does the Distance between the Stop Price and Limit Price Affect Execution Probability?
What Is the Relationship between Option Delta and the Probability of an Option Expiring In-the-Money?
How Does the Block Reward Incentivize Miners?
How Does the Concept of “Skew” Affect the Interpretation of Delta as Probability?