Option Greeks, explained for Indian traders
The Greeks measure how an option's price reacts to movement, time, volatility and interest rates. Master them and you stop guessing why a position made or lost money. Each guide has a plain-English explanation, an original diagram, the formula, a Nifty worked example and a detailed FAQ.
What are the option Greeks? The option Greeks are a set of risk measures showing how an option's price changes with the underlying price (Delta), the rate of that change (Gamma), the passage of time (Theta), implied volatility (Vega) and interest rates (Rho), plus second-order cross-effects (Vanna, Charm, Vomma).
Core Greeks
Start here. The five sensitivities every options trader must know.
Delta Δ
First-orderDelta measures how much an option's price is expected to change when the underlying moves by ₹1 — and doubles as a rough probability of the option finishing in-the-money.
Gamma Γ
Second-orderGamma measures how fast Delta changes when the underlying moves — it is the acceleration behind an option's directional exposure, and it peaks for at-the-money options close to expiry.
Theta Θ
First-orderTheta measures how much value an option loses each day purely from the passage of time — the daily 'rent' an option buyer pays and an option seller collects.
Vega ν
First-orderVega measures how much an option's price changes when implied volatility moves by one percentage point — it is your exposure to the market's expectation of future movement, not to the movement itself.
Rho ρ
First-orderRho measures how much an option's price changes when interest rates move by one percentage point — the least influential Greek for short-dated Indian options, but meaningful for long-dated positions.
Advanced & higher-order Greeks
The second- and third-order Greeks that describe how the core Greeks themselves move — the tools of volatility desks.
Vanna —
Second-orderVanna measures how an option's Delta shifts when implied volatility changes — equivalently, how Vega shifts when the underlying moves — a cross-Greek that matters most for skew-sensitive and Delta-hedged positions.
Charm —
Second-orderCharm measures how much an option's Delta changes as one day passes — the 'Delta decay' that quietly re-shapes your directional exposure over time, especially near expiry.
Vomma —
Second-orderVomma measures how much an option's Vega changes when implied volatility moves — the convexity of your volatility exposure, which makes long-Vega positions gain Vega as volatility rises.
Color —
Third-orderColor measures how much an option's Gamma changes as one day passes — the 'Gamma decay' that reshapes how fast your Delta will move, and it turns explosive for at-the-money options in the final days before a Nifty weekly expiry.
Speed —
Third-orderSpeed measures how much an option's Gamma changes when the underlying moves by ₹1 — the third derivative of price with respect to spot, which tells you how quickly your acceleration (Gamma) itself shifts as Nifty travels.
Ultima —
Third-orderUltima measures how much an option's Vomma changes when implied volatility moves — the third-order volatility Greek that captures the curvature of volatility convexity itself, mattering most for out-of-the-money wings in violent volatility regimes.
Lambda λ
First-order (elasticity)Lambda (also called Omega or elasticity) measures the percentage change in an option's price for a 1% change in the underlying — it is the true leverage of an option, telling you how many times harder your money works than buying the index outright.
Zomma —
Third-orderZomma measures how much an option's Gamma changes when implied volatility moves — it tells you whether your directional acceleration will be sharper or flatter after India VIX shifts, and matters most to Gamma-hedged books in volatile markets.
Veta —
Second-orderVeta measures how much an option's Vega decays as one day passes — it tells you how quickly your volatility exposure fades over time, which is why long-dated positions carry volatility risk that weeklies simply do not.
How the Greeks fit together
Think of Delta as speed and Gamma as acceleration; Theta as the clock draining value; Vega as your exposure to the market's fear gauge (India VIX); and Rho as the quiet background rate effect. The second-order Greeks — Vanna, Charm and Vomma — describe how the first-order Greeks themselves shift as volatility and time change. Together they turn options from a black box into a set of measurable, manageable risks.