Interactive tool
Option Greeks visualizer
Move the sliders to see how a European option's price and Greeks respond under Black–Scholes.
Price Option value
4.3252
Spot price 50 – 150
Delta ∂V/∂S
0.5494
Spot price 50 – 150
Gamma ∂²V/∂S²
0.0399
Spot price 50 – 150
Theta ∂V/∂t per day
-0.0260
Spot price 50 – 150
What to notice
Delta moves from 0 to 1 for calls (−1 to 0 for puts). Lower volatility or less time makes that transition sharper.
Gamma peaks near the strike. Shorten the expiry and watch the peak grow taller and narrower.
Theta is most negative at the money: that is the time decay you pay for owning Gamma.
See the formulas on the Black–Scholes cheat sheet, or practise derivatives problems.