Black-Scholes Calculator

Estimate theoretical European call and put values with volatility, rates, and time to expiration.

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About Black-Scholes

The Black-Scholes model estimates the fair value of European-style options using five main inputs: stock price, strike price, time, interest rate, and volatility. It assumes lognormal returns, continuous markets, and no early exercise. Even with those simplifications, it remains a standard benchmark for traders.

Use this calculator to compare market price versus theoretical value, test sensitivity to volatility, and understand how moneyness and time affect premium. If a stock does not pay dividends, set dividend yield to zero.

Educational only. Theoretical prices can differ from live markets because of liquidity, skew, early exercise, assignment risk, and discrete dividends.

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