OptionLab

Black-Scholes Calculator

Enter an option's inputs to get its theoretical value and Greeks, computed with the Black-Scholes model — the same model used throughout OptionLab.

Theoretical Call Price
2.49
Δ Delta
0.5400
per $1 in spot
Γ Gamma
0.0692
per $1 in spot
Θ Theta
-0.0450
per day
V Vega
0.1138
per 1% volatility
ρ Rho
0.0423
per 1% rate

How It Works

The Black-Scholes model prices a European-style option from five inputs: the underlying's spot price, the option's strike price, the time remaining until expiration, an assumed volatility, and the risk-free interest rate. From those, it derives a theoretical option price along with Delta, Gamma, Theta, Vega and Rho — how sensitive that price is to changes in the underlying, in time, and in volatility.

From a Single Option to a Full Strategy

This same pricing model is what powers every multi-leg strategy's theoretical valuation across OptionLab. To see it applied to a full position — payoff graph, breakevens, and max profit/loss across several legs — explore OptionLab's strategies.

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