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Theoretical option pricing

Black-Scholes options calculator for call and put prices with Greeks

Estimate a European-style option value and sensitivities from six transparent model inputs. Results update as you type and use no live market feed.

  • Call and put pricing
  • Five option Greeks
  • Dividend-adjusted model
Model inputs

Calculate theoretical option value and Greeks

Theoretical option price$4.19European-style Black-Scholes estimate
Theoretical price
$4.19
Delta
0.5420
Gamma
0.0404
Theta / day
-0.0495
Vega / vol point
0.1393
Rho / rate point
0.0617
Interpretation

Theoretical value is a model estimate, not a quote. American exercise, discrete dividends, liquidity, and jumps can produce different market prices.

How to use the Black-Scholes option price calculator

Enter the current underlying price, option strike, calendar days remaining, annualized implied volatility, continuously compounded risk-free rate, and dividend yield. The calculator converts days to years and estimates value with the standard Black-Scholes formula.

The model assumes lognormal prices, constant volatility and rates, continuous trading, and European exercise. American equity options, discrete dividends, volatility skew, jumps, liquidity, and early exercise can produce different market values. Use the estimate as a consistent benchmark rather than a quote.