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What Is the Relationship between Implied Volatility and the Options Premium?

Implied volatility (IV) is a forward-looking measure representing the market's expectation of how volatile the underlying asset will be in the future. IV is the single largest factor driving the extrinsic value of an option.

As IV increases, the options premium rises because the likelihood of extreme price movements increases. Conversely, as IV decreases, the premium falls.

Define “Extrinsic Value” and How It Relates to Time Decay
What Is the Difference between ‘Intrinsic Value’ and ‘Extrinsic Value’ of an Option?
What Is the Difference between Intrinsic Value and Extrinsic (Time) Value of an Option?
How Does an Option’s Moneyness Affect Its Premium?