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Glossary

Option Greeks

Delta, gamma, theta, vega and rho: measures of how an option's price responds to changes in price, time, volatility and rates.

On this page
  1. The five main Greeks
  2. Putting them together
  3. Caveats
  4. Related terms

The option Greeks are a set of sensitivities, each named after a Greek letter (vega is the exception), that estimate how an option's price will change when one input to its value changes and the others stay put. Together they turn a single premium into a map of risks: direction, the speed of that exposure, time decay, volatility and interest rates. Traders use them to size positions, to hedge and to understand why an option gained or lost value on a given day.

The five main Greeks

Greek Measures the change in option price per… Typical sign for a bought call / bought put
Delta $1 move in the underlying positive / negative
Gamma $1 move, applied to delta itself positive / positive
Theta one day passing negative / negative
Vega 1-point change in implied volatility positive / positive
Rho 1-point change in interest rates positive / negative

Putting them together

Caveats

Greeks come from a pricing model, usually Black-Scholes or a variant, fed with implied volatility. They are local estimates that hold for small changes; large moves, earnings events and approaching expiration can change them quickly. They also interact: an at-the-money option near expiry has high gamma and high theta at the same time. A position's total Greeks are the sum of each leg's Greeks times the number of contracts and the multiplier.

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