Option Greeks Calculator
Price options using the Black-Scholes model and compute the Greeks — delta, gamma, theta, vega, and rho. Understand how option prices respond to changes in the underlying, volatility, time, and interest rates.
What are Option Greeks?
Greeks measure the sensitivity of an option's price to various factors. Delta tracks how much the option moves per $1 change in the stock price. Gamma measures how delta itself changes. Theta quantifies time decay — how much value the option loses each day. Vega captures exposure to implied volatility changes. And Rho reflects sensitivity to interest rate shifts. Together, they give traders a complete risk profile of any options position.
How the Black-Scholes model works: Developed by Fischer Black and Myron Scholes in 1973, the model computes the fair price of a European option given the underlying price, strike, time to expiration, volatility, risk-free rate, and dividend yield. While the model makes simplifying assumptions (constant volatility, no transaction costs), it remains the foundation of modern options pricing and the starting point for understanding how options behave.
Option Greeks Calculator — Black-Scholes Pricing, Delta, Gamma, Theta, Vega, Rho
Free Black-Scholes option pricing calculator with Greeks: delta, gamma, theta, vega, rho. Visualize IV sensitivity and moneyness. Save scenarios and export CSV.
Greeks
Delta of 0.5484 means the option moves ~$0.55 for each $1 move in the underlying.
IV Sensitivity — Option Price vs Underlying Price
Delta vs Underlying Price (Moneyness)
Pricing Parameters
| Parameter | Value |
|---|---|
| d1 | 0.0860 |
| d2 | 0.0000 |
| N(d1) | 0.5484 |
| N(d2) | 0.5000 |
| Time (years) | 0.0822 |
| Annual Volatility | 30% |