Implied Volatility Smile

The implied volatility smile is a graphical representation of how implied volatility varies across different strike prices for options with the same expiration. In many markets, this curve is shaped like a smile, indicating that both deep out-of-the-money and deep in-the-money options have higher implied volatility than at-the-money options.

This reflects the market's expectation that extreme price movements are more likely than what a normal distribution would predict. In cryptocurrency, the smile is often skewed due to the high demand for downside protection.

The shape of the smile is a critical input for option pricing models and risk management systems. It reveals the market's assessment of tail risk and the cost of hedging against market crashes.

Traders use the smile to identify mispriced options and to construct portfolios that are robust to various volatility scenarios.