What Is the Relationship between Vega and the Volatility Smile/skew?
Vega is the sensitivity of the option price to the implied volatility level, while the volatility smile/skew describes how implied volatility varies across different strike prices. The smile/skew is a plot of the implied volatility used to calculate the option's Vega.
A trader must use the Vega corresponding to the specific strike price on the smile/skew to accurately determine the option's price sensitivity to volatility changes.