Black-Scholes Calculator
Enter the spot price, strike, risk-free rate, volatility and time to expiry to price a European call and put with the Black-Scholes model.
- Free
- No sign-up
Enter all five inputs to price the option.
Worked example
With these example inputs:
- Spot price$100
- Strike price$100
- Risk-free rate5%
- Volatility20%
- Time to expiry (years)1
Call option value: $10.45
- Put option value$5.57
- d₁0.35
- d₂0.15
Frequently asked questions
What does the Black-Scholes model do?
It estimates the fair value of a European option from five inputs: spot price, strike, risk-free rate, volatility and time. Here, $100 spot and strike at 5% and 20% vol over a year prices a call near $10.45.
What are its assumptions?
Black-Scholes assumes constant volatility and interest, no dividends, and European exercise. Real markets break these, so treat the output as a model estimate, not a market price.