Option Greeks for Professionals
The second- and third-order Greeks that matter once the basics are automatic — the tools of volatility desks and systematic hedgers.
Greeks for Professionals: Beyond the first-order Greeks, professionals track how the Greeks themselves move: Vanna (Delta vs volatility), Charm (Delta decay), Vomma (Vega convexity), plus third-order Greeks like Speed, Color, Zomma and Ultima. These drive dealer hedging flows, especially around expiry and volatility events.
| Greek | Order | Measures |
|---|---|---|
| Gamma Γ | Second-order | Rate of change of Delta for a ₹1 move in the underlying |
| Vanna — | Second-order | How Delta changes with volatility (and Vega changes with price) |
| Charm — | Second-order | How Delta changes with the passage of time (Delta decay) |
| Vomma — | Second-order | How Vega changes with implied volatility (volatility convexity) |
| Color — | Third-order | How Gamma changes with the passage of time (Gamma decay) |
| Speed — | Third-order | How Gamma changes for a ₹1 move in the underlying |
| Zomma — | Third-order | How Gamma changes when implied volatility changes |
| Veta — | Second-order | How Vega changes with the passage of time (Vega decay) |
| Ultima — | Third-order | How Vomma changes with implied volatility (third-order volatility sensitivity) |
| Lambda λ | First-order (elasticity) | The percentage change in an option's value for a 1% change in the underlying — option leverage |
These describe how the first-order Greeks shift as spot, time and volatility change — the curvature that Delta-hedged books must manage. Vanna and Charm in particular drive the well-known dealer flows into expiry. Explore them in the full Greeks guide and model exposure in the portfolio calculator.
Frequently asked questions
What are the second-order option Greeks?
What are Vanna and Charm used for?
Do retail traders need the higher-order Greeks?
Last reviewed 7 July 2026. Educational content only — not investment advice.