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Position Math

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Monte Carlo Equity Curve Simulator

Stress-test a trading assumption by simulating thousands of possible equity paths from the same win rate, payoff ratio and fixed fractional risk.

A Monte Carlo equity simulator runs many seeded trade paths from your starting equity, win rate, reward-to-risk, fixed percentage risk and ruin threshold, then summarizes final-equity percentiles, profit frequency, ruin frequency and drawdown as a reproducible model estimate.

Strategy assumptions

Each trade risks a fixed equity fraction. Win: equity += risk × equity × R. Loss: equity -= risk × equity.

Monte Carlo readout

Median final equity
5 / 25 / 75 / 95 percentiles
Final equity above start
Path hits ruin threshold
Median / worst max drawdown
Worst / best final equity
This is a seeded model estimate from your assumptions.

Equity paths and terminal distribution

Sample paths

Final equity distribution

Charts are rendered with the local Position Math ECharts asset. No market data or account data is requested.

How it works

What this calculator does

It generates many possible trade sequences from your inputs, using a deterministic seed so the same inputs reproduce the same result. Each path starts at your account equity, risks the same percentage of current equity on every trade, and records final equity plus maximum drawdown.

The model

For each trade, the engine draws one seeded random number. If it is below your win rate, equity increases by risk fraction × equity × R. Otherwise equity decreases by risk fraction × equity. A path is marked as hitting ruin if equity falls to or below your ruin threshold.

The simulator then sorts all final equity values and reports the 5th, 25th, median, 75th and 95th percentiles, plus the share of paths ending above starting equity, the share hitting ruin, median max drawdown and worst max drawdown.

Worked example

With a $10,000 start, 50% win rate, 1R payoff, 1% risk and 100 trades, the median final equity sits slightly below the start in the seeded reference case. That is volatility drag: a 1% loss followed by a 1% gain does not fully recover the account when risk is a fraction of current equity.

What it deliberately does not do

It does not infer your win rate, model changing position size rules, include fees, or forecast future market behavior. The output is a model estimate from your assumptions, useful for sizing conversations and strategy review, not investment or trading advice.

Frequently asked questions

What is a Monte Carlo equity curve simulator?
It is a model that generates many possible trade paths from your win rate, reward-to-risk and risk-per-trade assumptions, then summarizes final equity and drawdown outcomes.
Why is the seed fixed?
The fixed seed makes the result reproducible. Same inputs and same seed produce the same percentiles, sample paths and terminal distribution.
Is the profit frequency a forecast?
No. It is the share of modeled paths that ended above starting equity under the inputs you typed. Real trading can differ because costs, execution and market regimes change.
Why can a fair 50% win rate at 1R show less than 50% profitable paths?
Because this model risks a percentage of current equity. A percentage loss and a same-sized percentage gain do not cancel perfectly, so volatility drag can pull the profitable share below 50%.
How many simulations should I run?
The default 5,000 paths is a practical browser-side estimate. More paths smooth the percentiles but take longer to recalculate.

Related calculators

Funded-account checks

Use these three pages as a simple path: understand the rules, stress a scenario, then track consistency before a payout.

Information tool only. Every result is deterministic arithmetic (for the simulator, a probability estimate) from the numbers you enter. The calculators run in your browser with no account connection and nothing stored; the pairs scanner uses delayed, cached market data (daily figures, refreshed once a day), not a live feed. This is not investment, trading, tax, or financial advice — verify against your own broker or prop firm before acting.
Disclosure. Some outbound links may be affiliate or partner links; they never change how a tool computes.
Position Math · updated 2026-07-04 · all calculators
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Information tool only — not investment, trading, tax, or financial advice. All computation runs in your browser.