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Black-Scholes Option Calculator
Price European call and put options and get all the Greeks - delta, gamma, vega, theta, rho - from the Black-Scholes-Merton model. Free, instant, computed in your browser.
Calculator
How it works
The Black-Scholes-Merton model gives the fair value of a European option from six inputs: the underlying price, strike, time to expiry, volatility, the risk-free rate and dividend yield. The Greeks measure how that value changes - delta with the price, gamma with delta, vega with volatility, theta with time, and rho with rates.
C = S.e^(-qT).N(d1) - K.e^(-rT).N(d2)
d1 = [ln(S/K) + (r - q + sigma^2/2)T] / (sigma.sqrt(T)) , d2 = d1 - sigma.sqrt(T)
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This uses the same verified engine that powers the Quantora terminal. Open the terminal to run it on live market data, with charts and 95 other engines.
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