What is the Black-Scholes Calculator?
The black-scholes calculator is a free online tool that helps you work out black-scholes quickly and accurately. It uses the standard formula Black-Scholes-Merton option pricing for European options and shows the result instantly as you type, along with a full breakdown so you can see exactly how the answer was reached.
How to use this calculator
- Enter spot and strike prices.
- Enter time, risk-free rate and volatility.
- See call and put values.
Formula used
Black-Scholes-Merton option pricing for European optionsExplanation of each input
- Spot price โ the spot price used in the calculation.
- Strike price โ the strike price used in the calculation.
- Time to expiry (years) โ the time to expiry used in the calculation.
- Risk-free rate (%) โ the risk-free rate used in the calculation.
- Volatility (%) โ the volatility used in the calculation.
Understanding your result
- Call price โ the calculated call price.
- Put price โ the calculated put price.
Step-by-step calculation
For the example values S=100,K=100,T=1,r=6%,vol=20%:
- Apply the formula:
Black-Scholes-Merton option pricing for European options - Substitute the values: BSM
- Result: Call and put fair values
Worked example
| Inputs | S=100,K=100,T=1,r=6%,vol=20% |
|---|---|
| Working | BSM |
| Result | Call and put fair values |
Benefits and practical uses
This calculator saves you time and reduces errors when you need black-scholes. It is useful for students, professionals and anyone who wants a fast, reliable answer without manual calculation. Results update instantly, work in your browser and can be copied or shared in one click.
Assumptions and limitations
- European options; no dividends; constant volatility and rate.
Frequently asked questions
Does this work for American options?
No - the model prices European options that exercise only at expiry.
Disclaimer: This calculator provides estimates for general information only and is not financial advice. Returns are illustrative and not guaranteed; consult a qualified financial adviser before making decisions.