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?
Greeks that measure how a first-order Greek changes: Gamma (Delta vs spot), Vanna (Delta vs volatility), Charm (Delta vs time) and Vomma (Vega vs volatility) are the main ones.
What are Vanna and Charm used for?
Vanna (Delta's sensitivity to volatility) and Charm (Delta's decay over time) drive the hedging flows of options dealers, especially into large expiries — a widely watched market-structure effect.
Do retail traders need the higher-order Greeks?
Rarely for execution, but understanding them explains market behaviour — why Delta drifts overnight (Charm) or why a Vega hedge is unstable (Vomma). They are education more than daily tools for most retail traders.
Published 22 April 2026. Educational content only — not investment advice.