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.

GreekOrderMeasures
Gamma ΓSecond-orderRate of change of Delta for a ₹1 move in the underlying
Vanna Second-orderHow Delta changes with volatility (and Vega changes with price)
Charm Second-orderHow Delta changes with the passage of time (Delta decay)
Vomma Second-orderHow Vega changes with implied volatility (volatility convexity)
Color Third-orderHow Gamma changes with the passage of time (Gamma decay)
Speed Third-orderHow Gamma changes for a ₹1 move in the underlying
Zomma Third-orderHow Gamma changes when implied volatility changes
Veta Second-orderHow Vega changes with the passage of time (Vega decay)
Ultima Third-orderHow Vomma changes with implied volatility (third-order volatility sensitivity)
Lambda λFirst-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.

Last reviewed 7 July 2026. Educational content only — not investment advice.

Educational content only — not investment advice. See our Risk Disclosure and Methodology.