Option Value Calculator
Calculate the theoretical value of a European call or put option using the Black-Scholes model.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Option Value Calculator
- Select Option Type – Choose Call (right to buy) or Put (right to sell) from the dropdown.
- Enter Spot Price (S) – Current market price of the underlying asset (must be positive).
- Enter Strike Price (K) – Price at which the option can be exercised (must be positive).
- Enter Time to Maturity (T) – Time in years until expiration (e.g., 0.5 for 6 months; must be positive).
- Enter Risk-Free Rate (r) – Annual risk-free interest rate as a percentage (e.g., 5 for 5%).
- Enter Volatility (σ) – Annualized volatility of the underlying asset as a percentage (e.g., 20 for 20%; must be positive).
- Click "Calculate Option Value" – The option's theoretical price (in dollars) will appear below, along with the Black-Scholes d1 and d2 values.
Note: All monetary inputs are in the same currency (e.g., USD). Ensure time is in years, and percentages are entered as whole numbers (not decimals).
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Frequently Asked Questions
The Black-Scholes model is a mathematical model for pricing European-style options. It calculates the theoretical value of a call or put option using inputs like spot price, strike price, time to maturity, risk-free rate, and volatility.
You need the current spot price of the underlying asset, the strike price, time to maturity in years, the annual risk-free interest rate (as a percentage), and the annual volatility of the asset (as a percentage).
A call option gives the holder the right to buy the underlying asset at the strike price, while a put option gives the right to sell. The Black-Scholes formula calculates the premium for each.
