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For Students · Option Greeks

Option Greeks for a stock option

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a stock option live below — adjust the inputs and watch it respond, right in your browser.

Option Greeks (Black–Scholes)Live

delta, gamma, vega, theta

Controls

Presets

Spot price S

Strike K

Time to expiry (yr)

Volatility σ

Risk-free rate

The Greeks measure how an option's value reacts: delta to the underlying price, gamma to delta itself, vega to volatility, theta to the passage of time. Traders hedge by neutralizing them. Educational tool, not financial advice.

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Data Inspector

Call price$8.01

Delta0.580

Gamma0.0221

Vega (per 1% vol)0.276

Theta (per day)-0.024

Governing equation

Δ = N (d_{1}), d_{1} = \frac{ln ( 100/100 ) + ( 0.04 + 0.2 5 ^{2} /2 ) 0.5}{0.25 0.5} = 0.202 \Rightarrow Δ = 0.580

Reading this result: Near the money, gamma and vega peak: the option is most sensitive to both price swings and changes in volatility (vega 0.28 per 1% vol).

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Frequently asked questions

Is this good for students?: Yes — this version of "Option Greeks for a stock option" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.