How do I simulate a Black-Scholes option?

Open this page and use the live Dividend Discount Model tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a Black-Scholes option from your own measurements.

Use case · powered by Dividend Discount Model

Dividend Discount Model for a Black-Scholes option

Simulate a Black-Scholes option live in your browser. This runs the real Dividend Discount Model solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Dividend Discount (Gordon)Live

valuing a dividend stock

Controls

Presets

Next dividend D₁ ($)

Dividend growth g (%)

Required return r (%)

The Gordon growth model prices a stock as P = D₁/(r − g): next year's dividend divided by the gap between your required return and the dividend growth rate. As growth nears the discount rate the value shoots up — which is why the model is so sensitive. Educational tool, not financial advice.

▶ Run in Python

Data Inspector

Fair value$40.00

Implied dividend yield5.00%

Governing equation

P = \frac{D _{1}}{r - g} = \frac{2.00}{0.0900 - 0.0400} = $40.00

Reading this result: Fair value P = D₁/(r − g) = $40.00 rests on a 5.00-point gap; note the 5.0% yield plus 4% growth recovers your 9% required return.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Dividend Discount Model tool models a Black-Scholes option with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

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Other ways to simulate a Black-Scholes option

Black-Scholes for a Black-Scholes option Option Payoff for a Black-Scholes option Monte Carlo (GBM) for a Black-Scholes option Efficient Frontier for a Black-Scholes option Value at Risk for a Black-Scholes option Bond Pricing for a Black-Scholes option

Frequently asked questions

How do I simulate a Black-Scholes option?: Open this page and use the live Dividend Discount Model tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a Black-Scholes option from your own measurements.