Black-Scholes Calculator

Price call and put options using the Black-Scholes model.

Option Parameters

European options only — no early exercise

Stock Price (S)

Strike Price (K)

Time to Expiry (years)

Risk-Free Rate (%)

Volatility σ (%)

Dividend Yield (%)

Enter your values above and tap Calculate to see the result.

Your Results

Call Option Price

Put Option Price

d₁ = d₂ =

The Greeks

Option Price vs Stock Price

Greeks Explained

Δ Delta: change in option price per 1 move in stock
Γ Gamma: rate of change of delta
Θ Theta: daily time decay ( per day)
ν Vega: price change per 1% move in volatility

Assumptions

• European options only
• Constant volatility (no smile)
• Continuous dividend yield
• Log-normal stock returns
• No transaction costs

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About This Calculator

Price call and put options using the Black-Scholes model.

Everything is worked out in your browser as you type, so your figures never leave your device.

Pro Tips

Results update as you type — change any field to see the effect immediately.

Check that every value uses the same unit before comparing results.

Use the copy button to paste the black-scholes figures into a note or spreadsheet.

Nothing is sent to a server, so you can use this with private figures.