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Derivatives & Optionsintermediate
THE GREEKS
BLACK-SCHOLES MODEL
DELTA
GAMMA
IMPLIED VOLATILITY

The Greeks

The collective name for the sensitivity measures — delta, gamma, theta, vega, rho — that describe how an option's price responds to changes in market variables.

Also called Option Greeks

The Greeks are the partial derivatives of an option's price with respect to each key input: underlying price (delta, gamma), time (theta), volatility (vega), and interest rates (rho).

Together they form a complete risk dashboard for an options position or portfolio. A risk manager checks net delta (directional exposure), net gamma (acceleration risk), net theta (daily decay), and net vega (volatility exposure) to understand P&L behaviour under different market scenarios.

Greeks interact: a short-gamma, long-theta position (selling short-dated options) collects decay but can suffer large losses if spot moves sharply.

Related terms