How do I simulate a compound-growth plan?

Open this page and use the live Monte Carlo (GBM) 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 compound-growth plan from your own measurements.

Use case · powered by Monte Carlo (GBM)

Monte Carlo (GBM) for a compound-growth plan

Simulate a compound-growth plan live in your browser. This runs the real Monte Carlo (GBM) 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

Monte Carlo Price SimulationLive

geometric Brownian motion

Controls

Presets

Initial price S₀

Expected return μ

Volatility σ

Horizon (years)

Geometric Brownian motion models a price with constant drift and random volatility — the assumption behind Black-Scholes. Running hundreds of simulated paths reveals the full distribution of outcomes, not just an average. Educational tool, not investment advice.

▶ Run in Python

Data Inspector

Median outcome$0

5th percentile$0

95th percentile$0

Governing equation

S_{t + Δ t} = S_{t} e^{(0.07 - \frac{0. 2 ^{2}}{2}) Δ t + 0.2 Δ t Z}, \tilde{S}_{1} \approx $0

Reading this result: Median outcome is about $0, just under the drift-only $107 — GBM compounds in log-space, so volatility always pulls the typical path below the average.

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

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About this simulation

The full Monte Carlo (GBM) tool models a compound-growth plan 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.

More you can do with Monte Carlo (GBM)

Monte Carlo (GBM) for a stock option Monte Carlo (GBM) for a retirement fund Monte Carlo (GBM) for a mortgage Monte Carlo (GBM) for a bond ladder Monte Carlo (GBM) for a crypto portfolio Monte Carlo (GBM) for an index fund Monte Carlo (GBM) for a savings plan Monte Carlo (GBM) for a startup valuation

Other ways to simulate a compound-growth plan

Black-Scholes for a compound-growth plan Option Payoff for a compound-growth plan Efficient Frontier for a compound-growth plan Value at Risk for a compound-growth plan Bond Pricing for a compound-growth plan Compound Interest for a compound-growth plan

Frequently asked questions

How do I simulate a compound-growth plan?: Open this page and use the live Monte Carlo (GBM) 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 compound-growth plan from your own measurements.