Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Hobbyists & Makers · Backtester

Backtester for a pension

Built for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker. Simulate a pension live below — adjust the inputs and watch it respond, right in your browser.

Monte Carlo

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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.

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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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Value At Risk

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Value at Risk (VaR)Live

parametric VaR & expected shortfall

Controls

Presets

Portfolio value ($)

Annual volatility

Annual return

Horizon (days)

Value at Risk estimates the loss a portfolio will not exceed over a horizon at a confidence level. Parametric VaR assumes normally distributed returns and scales volatility by √time. Expected shortfall (CVaR) is the average loss in the tail beyond VaR. Educational tool, not investment advice.

▶ Run in Python

Data Inspector

VaR (95%)$20,446

Expected shortfall$25,708

Horizon vol1.26%

Governing equation

VaR_{95%} = z σ - μ = 1.64 \times 0.0126 - 0.0003 = 0.0204

Reading this result: At 95% confidence the loss should not exceed 2.0% of the portfolio over 1 day; the average loss in the worse tail beyond that (expected shortfall) is steeper still.

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

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Frequently asked questions

Is this good for hobbyists & makers?: Yes — this version of "Backtester for a pension" is framed for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.