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Γ
Second-order greekMeasures price risk

Gamma (Γ)

The acceleration of your P&L — how quickly your directional exposure itself changes.

What Gamma measures

The rate of change of Delta for a ₹1 change in the underlying.

A gamma of 5 means your position delta increases by about 5 for every ₹1 the underlying rises (and falls by 5 for every ₹1 it drops).

Overview

Gamma is a second-order greek: it measures how much Delta changes when the underlying moves by ₹1. If Delta is speed, Gamma is acceleration.

High gamma means your directional exposure shifts rapidly — a small move in the underlying can swing you from mildly to strongly long or short. Gamma is largest for at-the-money options and grows explosively as expiry approaches.

Option buyers are always long gamma (their position curves in their favour); option sellers are short gamma (the position curves against them). This is the mathematical reason selling options “feels safe until it suddenly doesn’t”.

A plain-language example

1

You are long a NIFTY 24,000 call with delta +50 and gamma +5.

2

NIFTY rises ₹1: your delta becomes about +55, so the next ₹1 up earns you more than the last — profits accelerate.

3

NIFTY falls ₹1 instead: your delta drops to about +45, so each further point down costs you less — losses decelerate. That favourable curvature is what “long gamma” buys you.

Always ≥ 0 for a long option · Peaks at-the-money · Rises sharply into expiry · Near zero for deep ITM/OTM.

Buyers vs sellers

If you buy the option

Buying options (calls or puts) is long gamma — convexity works for you.

If you sell the option

Selling options is short gamma — convexity works against you.

What moves Gamma

When…Effect on Gamma
Option near-the-moneyGamma is highest — delta is most unstable here
Approaching expiryATM gamma spikes; delta can flip 0↔1 in a single move
Deep ITM or OTMGamma fades to ~0 — delta is already pinned at ±1 or 0
Rising implied volatilitySpreads gamma across a wider range, lowering the ATM peak

Gamma at a glance

At-the-money
Maximum
Deep ITM / OTM
≈ 0
Far from expiry
Low & smooth
Expiry day (ATM)
Extreme (“gamma risk”)

How traders use it

  • Long-gamma positions profit from movement and choppiness; short-gamma positions profit from stillness but must be actively managed.
  • “Gamma scalping” = holding long gamma and repeatedly re-hedging delta to harvest the convexity as the market oscillates.
  • Sellers watch expiry-day gamma closely: an ATM short option can turn a calm P&L into a fast loss on a single sharp move.

Watch out for

  • Short-gamma income (from theta) looks steady right up until a large move — the risk is hidden in the tails, not the average day.
  • Gamma is highest exactly when you have least time to react (expiry day), so position sizing matters more than usual.

See Gamma on a live position

Open the Strategy Builder, add a leg, and hover the Gamma row in the Greeks tab to watch it update in real time.

Educational content only — not investment advice. All values are illustrative and do not reflect live quotes. Options carry significant risk; consult a registered adviser before trading.