Black-Scholes Options Price Calculator
Calculate the theoretical price of a European call or put option using the Black-Scholes model. Enter stock price, strike, volatility, risk-free rate, and time to expiration.
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$
%
Implied volatility as a percent (e.g., 25).
%
Annual risk-free rate as a percent (e.g., 5).
Days to expiration (e.g., 30 DTE).
%
Optional — dividend yield as a percent (e.g., 2).
Enter option parameters above and click Calculate price to see the Black-Scholes theoretical price.
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Black-Scholes Formulas
d1 = [ln(S/K) + (r - q + 0.5σ²)T] / (σ√T)
d2 = d1 - σ√T
Call = Se^(-qT)N(d1) - Ke^(-rT)N(d2)
Put = Ke^(-rT)N(-d2) - Se^(-qT)N(-d1)