basic

Black–Scholes Option Pricing (Call & Put) Calculator

European call/put prices from the Black–Scholes model.

Calculates European call/put prices: C = S·N(d₁) − K·e^(−rT)·N(d₂); P = K·e^(−rT)·N(−d₂) − S·N(−d₁), using a rational approximation for the normal CDF.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

$
$
%
years
%

Results

Enter values and click Calculate to see results.
Was this helpful?

How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

d₁ = [ln(S/K) + (r + σ²/2)T] / (σ√T)

In depth

Calculates European call/put prices: C = S·N(d₁) − K·e^(−rT)·N(d₂); P = K·e^(−rT)·N(−d₂) − S·N(−d₁), using a rational approximation for the normal CDF.