What is the Black-Scholes put option formula?

P = K x exp(-r x T) x N(-d2) - S x N(-d1), where d1 and d2 are the same as in the call formula. Alternatively: P = C - S + K x exp(-r x T) via put-call parity.

When is a put option in the money?

A put is in-the-money (ITM) when stock price S < strike price K. Intrinsic value = max(K - S, 0). Time value = Put price - intrinsic value. Deep ITM puts have high delta (close to -1).

Black-Scholes Put Option Price Calculator

Calculate European put option price using Black-Scholes model. Calculate put price directly or from call price via put-call parity.

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$ Finance Disclaimer: These calculators are for educational and illustrative purposes only. Results do not constitute financial advice. Consult a licensed financial advisor before making investment or borrowing decisions.

How It Works

Calculate European put option price using Black-Scholes model. Calculate put price directly or from call price via put-call parity

Each component has a specific meaning:

Black-Scholes model — The black-scholes model recorded for the scenario being assessed.

Note: Interpret the black-scholes put result against the thresholds and context described above.

How to Use

Enter the Black-Scholes model for the scenario you are assessing. Calculate European put option price using Black-Scholes model. Calculate put price directly or from call price via put-call parity. Use the black-scholes put result to inform your calculation.

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