About the Options Greeks Calculator

The Greeks describe how an option's price moves when each input changes by one unit. Delta (N(d₁) for a call) says the option behaves like that many shares of stock; Gamma says how fast Delta itself changes; Vega is the sensitivity to a 1% move in implied volatility; Theta is the daily time decay; and Rho is the interest-rate sensitivity. Together they tell a trader exactly what risk an options position carries.

Reading the risk

An at-the-money call typically shows Delta ≈ 0.5 — half a share of exposure — with Gamma peaking right at the strike. Theta is the quiet tax on every option position: at-the-money options decay fastest, which is why sellers love them and buyers dread the final weeks. Vega explains why options prices spike before earnings — the market prices in a volatility jump. This calculator evaluates all five Greeks from the Black-Scholes formula for any call or put.