Stocks & Portfolios

European Put-Call Parity

Infer a corresponding European put value from a matched call under a continuous-yield model.

Your numbers

Sample inputs are illustrative. Changing currency changes labels only.

Your result

Preparing the sample calculation…

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How to use this calculator

  1. Enter underlying spot price, strike, continuous risk-free rate (%), continuous dividend yield (%), years to expiry, observed call price.
  2. Choose a display currency, then select Calculate. Results also update after a brief pause while you edit.
  3. Read the result with the assumptions below. Export details or save a second scenario to compare your choices.

Formula and method

P=C−S×exp(−qT)+K×exp(−rT).

Assumptions and limitations

Same strike and expiry, frictionless markets; American exercise and discrete dividends require different treatment. Negative result signals inconsistent inputs.

Worked example

With underlying spot price = 100, strike = 100, continuous risk-free rate (%) = 0, continuous dividend yield (%) = 0, years to expiry = 1, observed call price = 10, parity-implied put price is approximately 10.

What the result means

Infer a corresponding European put value from a matched call under a continuous-yield model.

Common questions

How should I interpret parity-implied put price?

Infer a corresponding European put value from a matched call under a continuous-yield model.

What should I check before using this result?

Same strike and expiry, frictionless markets; American exercise and discrete dividends require different treatment. Negative result signals inconsistent inputs.

Methodology and transparency

Calculation specification reviewed on 2026-10-14. Mathematical implementation is tested against independent reference fixtures. This does not imply review by a licensed financial professional. Read the testing and precision policy.

Background reference: www.optionseducation.org — financial method. FinanceMath implements its own calculator.