What Is the ‘Volatility Smile’ and How Does It Relate to Options Pricing?

The volatility smile is a pattern observed in the options market where at-the-money options have lower implied volatility than both in-the-money and out-of-the-money options with the same expiration date. It suggests that the Black-Scholes assumption of constant volatility across all strike prices is incorrect.

It is crucial for pricing because it shows the market's perception of risk is not uniform across strike prices.

Why Is the Delta of a Deep OTM Option Often More Sensitive to Changes in Vega than an ATM Option?
How Does the Probability of Expiration ITM Relate to Moneyness?
Can an OTM Option Ever Have a Higher Time Value than an ITM Option?
How Does the Delta of an Option Relate to Its ITM, ATM, or OTM Status?
Do Different Strike Prices for the Same Expiration Date Have Different Implied Volatilities?
What Is the ‘Volatility Smile’ and How Does It Relate to Option Pricing?
Explain the Concept of “Volatility Smile” or “Volatility Skew” in Options Trading
Does an In-the-Money Option Have a Lower or Higher Theta than an Out-of-the-Money Option?

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