Concept guide

Options Gamma

Gamma measures how much delta changes when the underlying moves by one dollar.

Concept

Formula

gamma is approximately the change in delta divided by the change in underlying price

What gamma measures

Delta is the option's sensitivity to price; gamma is the sensitivity of delta. High gamma means delta can swing quickly, so the position's behaviour changes fast as the stock moves.

Gamma is largest for at-the-money options and grows as expiration approaches, which is why short-dated positions feel abrupt.

Why gamma matters for risk

Long options are long gamma and benefit from movement; short options are short gamma and are hurt by large moves, especially near expiration. Short-dated short-gamma positions can lose value very quickly.

  • Short gamma near expiration magnifies pin and gap risk.
  • Long gamma can be offset by time decay (theta).
  • Position size matters more as gamma rises.

FAQ

Is high gamma good or bad?
It depends on direction of exposure: long gamma benefits from movement, short gamma is hurt by it.
When is gamma highest?
At the money, and it rises as expiration approaches.

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