Volatility surface
Quantitative Finance glossary · Derivatives Pricing & Volatility Surfaces
Definition
The 2D surface of implied volatilities as a function of strike and maturity; reveals the market's deviation from the Black-Scholes flat-vol assumption.
Volatility surface in plain English
A volatility surface is just the full map of option 'fear pricing' laid out in two directions at once: how expensive insurance is at each price level (the strike) AND at each time horizon (weeks vs. months out). Picture a landscape where one axis is 'how far from today's price' and the other is 'how far into the future,' and the height is how jumpy the market expects things to be. The simple textbook model assumes this whole landscape is flat — one volatility everywhere — but the real surface has hills and slopes, and those bumps are exactly where the market disagrees with the textbook. Traders study its shape to see where fear and demand are concentrated.
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