Volatility Smile Calibration
Volatility smile calibration is the process of adjusting the parameters of an option pricing model so that the implied volatility output matches the market prices of traded options across different strike prices. In options trading, the volatility smile describes the phenomenon where options with the same expiration but different strikes exhibit varying implied volatilities.
This occurs because the market anticipates different probabilities of extreme price moves than those assumed by simpler models like Black-Scholes. By calibrating the model to this smile, quantitative analysts ensure that their pricing engine correctly reflects the market's current fear or greed.
This practice is crucial for liquidity providers who must quote tight spreads without being exposed to adverse selection. It effectively aligns theoretical risk assessments with the actual cost of protection in the derivatives market.