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The volatility smile is a graphical representation of the implied volatility of options across different strike prices for the same expiration date. It typically shows that implied volatility is not constant across all strike prices; instead, it often exhibits a "smile" shape, where options that are either deep in-the-money or out-of-the-money tend to have higher implied volatilities compared to at-the-money options.

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  1. Mathematical finance
  2. Applied mathematics
  3. Fields of mathematics
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