Black-Scholes Calculator
Calculate European option prices, Greeks (Delta, Gamma, Theta, Vega, Rho), and sensitivity analysis using the Black-Scholes model.
Black-Scholes Option Pricer
Calculate European option prices, Greeks, and sensitivity analysis using the Black-Scholes model with continuous dividend yield support.
Parameters
Greeks
| Greek | Call | Put | Interpretation |
|---|---|---|---|
| Delta | 0.6701 | -0.3299 | Price change per $1 move in S |
| Gamma | 0.018762 | Delta change per $1 move in S | |
| Theta | -0.0178 | -0.0048 | Price change per day (time decay) |
| Vega | 0.3752 | Price change per 1% volatility move | |
| Rho | 0.5510 | -0.4002 | Price change per 1% rate move |
Call Price Sensitivity (S vs Sigma)
| S \ Sigma | 10.00% | 15.00% | 20.00% | 25.00% | 30.00% |
|---|---|---|---|---|---|
| $90.00 | 1.89 | 4.02 | 6.35 | 8.78 | 11.28 |
| $95.00 | 5.18 | 7.72 | 10.21 | 12.64 | 15.01 |
| $100.00 | 7.08 | 9.40 | 11.91 | 14.50 | 17.15 |
| $105.00 | 10.73 | 12.37 | 14.45 | 16.76 | 19.21 |
| $110.00 | 15.18 | 16.23 | 17.85 | 19.82 | 22.02 |
Put Price Sensitivity (S vs Sigma)
| S \ Sigma | 10.00% | 15.00% | 20.00% | 25.00% | 30.00% |
|---|---|---|---|---|---|
| $90.00 | 7.01 | 9.14 | 11.47 | 13.91 | 16.40 |
| $95.00 | 5.30 | 7.84 | 10.33 | 12.76 | 15.14 |
| $100.00 | 2.21 | 4.52 | 7.03 | 9.63 | 12.28 |
| $105.00 | 0.85 | 2.49 | 4.57 | 6.88 | 9.34 |
| $110.00 | 0.30 | 1.36 | 2.97 | 4.94 | 7.14 |
Frequently Asked Questions
What is Black-Scholes?
Mathematical model for pricing European options based on stock price, strike, time, risk-free rate, and volatility.
What are the Greeks?
Delta (per $1 stock move), Gamma (rate of Delta change), Theta (time decay/day), Vega (volatility sensitivity), Rho (rate sensitivity).
Put-call parity?
C - P = S*e^(-qT) - K*e^(-rT). Ensures no arbitrage between calls and puts with same strike and expiry.
Is the Black-Scholes Calculator free to use?
Yes, the Black-Scholes Calculator is 100% free with no registration, no hidden fees, and no usage limits. All processing happens locally in your browser, ensuring complete privacy.
Is my data safe with this tool?
Absolutely. The Black-Scholes Calculator processes everything client-side in your browser. No data is uploaded to or stored on any server. Your content remains private on your device at all times.
Does the Black-Scholes Calculator work on mobile devices?
Yes, the Black-Scholes Calculator is fully responsive and works on smartphones and tablets. You can use it on any device with a modern web browser -- no app download required.
Do I need to create an account to use this tool?
No account or registration is needed. Simply open the Black-Scholes Calculator in your browser and start using it immediately. There are no sign-up walls or usage restrictions.
How accurate are the calculations?
The Black-Scholes Calculator uses industry-standard formulas and algorithms to ensure accurate results. However, for critical financial or medical decisions, always consult a qualified professional.
How do I use the Black-Scholes Calculator?
Simply enter your input in the provided field, adjust any settings to your preference, and the tool will process it instantly. You can then copy the result to your clipboard or download it.
Which browsers are supported?
The Black-Scholes Calculator works in all modern browsers including Chrome, Firefox, Safari, Edge, and Opera. For the best experience, use the latest version of your preferred browser.
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About Black-Scholes Calculator
Black-Scholes Calculator is a free, browser-based tool in our Calculator Tools collection. Everything runs locally on your device — no uploads, no sign-up, and your data stays private.