TRADING • SURVIVAL • MONTE CARLO

Risk of Ruin Calculator

Estimate how often a strategy reaches a defined loss threshold and how drawdown changes as risk per trade increases.

ESTIMATED RISK OF RUIN—

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Survival probability—
95% simulation interval—
Win rate 95% CI—
Chance of ending above start—
Median ending capital—
Median max drawdown—
Chance of 10% drawdown—
Chance of 20% drawdown—
Chance of 30% drawdown—
Chance of 15% drawdown—
5th percentile ending—
25th percentile ending—
75th percentile ending—
95th percentile ending—
Expectancy per trade—
Median trade reaching ruin—
Median longest loss streak—

Sample equity paths

A small sample from the same reproducible simulation set. The dashed line is the configured ruin threshold.

Risk per trade comparison

Same strategy assumptions, four risk levels. This is often more useful than reading one probability in isolation.

Losing streak distribution

Probability that the longest losing streak reaches at least each length, across all simulation paths.

What this result means

Risk of ruin is conditional on the assumptions and the chosen definition of ruin.

MODELCompounding risk model

Each trade risks the selected percentage of current equity. Wins and losses are modeled as average R-multiples, so position size adapts as equity changes.

RUINA configurable capital-loss threshold

Here, “ruin” means equity reaches the chosen percentage loss from starting capital. It is not a universal mathematical definition and it is not bankruptcy probability.

UNCERTAINTYWin rate estimated from a sample

When a sample size is provided, each path draws its own win rate from a Beta(wins+1, losses+1) distribution, so small samples spread wider than large ones.

How the simulation works

Independent trade outcomes with constant win probability and average R outcomes.

ExpectancyE[R] = Win rate × Avg win R − Loss rate × Avg loss R
RiskRisk amount = Current equity × Risk per trade
WinEquity += Risk amount × Avg win R
LossEquity −= Risk amount × Avg loss R

The model assumes independent trades and stable win rate / R-multiples. Real strategies may have regime changes, serial correlation, slippage, gaps, variable sizing and execution effects.

RISK WORKFLOW

Move from one trade to strategy survival.

Position Size controls one trade. Risk of Ruin asks what repeated exposure could do across a long sequence.

Important:Monte Carlo does not predict future performance. It shows how the assumptions behave across many randomized sequences. Informational tool only — not financial advice.

Method, example and limitations

Model: each path uses a reproducible random sequence of independent wins and losses. Position risk compounds from current equity and the path stops at the first configured ruin-threshold breach.

Win-rate uncertainty: when a sample size is provided, the win rate is no longer a fixed parameter. Each path first draws its own win rate from a Beta(wins+1, losses+1) distribution, where wins ≈ win rate × sample size. A 54% win rate estimated from 40 trades spreads much wider than one estimated from 4,000 trades. The confidence interval uses the normal approximation p ± z·sqrt(p(1−p)/n) with z = 1.96 for 95% and z = 1.64 for 90%.

The 95% interval describes Monte Carlo sampling uncertainty, not uncertainty about the strategy assumptions. Ending-above-start probability, drawdown and losing streaks help prevent a low ruin estimate from being read as low operational risk. With a sample size, the result is a conditional estimate — it conditions on the observed sample of trades, not a forecast of future performance.

Reviewed August 24, 2026. This model does not capture serial correlation, changing regimes or full return distributions.

References: CFA Institute — Backtesting & Simulation · NIST — binomial confidence intervals.

How to interpret risk of ruin

Risk of ruin asks a strategy-level question: how often could repeated trading reach a predefined loss threshold? Enter starting capital, win rate, average win and loss, risk per trade and number of trades. The Monte Carlo engine reshuffles many possible sequences and reports ruin probability, survival probability and drawdown behavior.

The result is conditional on the assumptions. It is not a forecast of future returns. Its main value is comparing how survival changes when risk per trade or other assumptions change.

When you provide a sample size, the win rate is treated as an estimate: the calculator shows a 95% confidence interval and, inside the simulation, each path draws its own win rate from a Beta distribution. The result is then conditional on that sample — an estimate, not a forecast.

Frequently asked questions

What does “ruin” mean in this calculator?

Ruin means reaching the loss threshold you configure. It does not have to mean the account falls to zero.

Why use Monte Carlo for trading risk?

Two strategies with identical averages can experience very different sequences of wins and losses. Monte Carlo helps show the range of possible paths.

What usually has the strongest effect on risk of ruin?

Risk per trade is one of the most direct levers because larger repeated losses increase drawdown depth and reduce the capital available for later trades.

Why does the win rate need a sample size?

A win rate estimated from few trades is less reliable. When a sample size is provided, the Monte Carlo draws each path's win rate from a Beta distribution, so that uncertainty is reflected in the results instead of being ignored.

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