Trading Risk of Ruin & Losing Streak Calculator
Estimate how win rate, average reward-to-risk and fractional risk interact across a series of trades. Calculate exact losing-streak probabilities, compounded drawdown, recovery requirements and a reproducible Monte Carlo estimate of reaching a chosen loss threshold.
Probability results depend entirely on the assumptions entered. The model does not predict future trades and assumes constant statistics; losing-streak probabilities additionally assume independent trade outcomes.
Strategy Statistics
Expectancy Per Trade
+0.250R
Positive mathematical expectancy under entered assumptions
Break-Even Win Rate
40.00%
Click Run Simulation to estimate the threshold-hit probability.
For trade payoff geometry, use the Risk Reward Calculator. For position sizing from account risk, the Lot Size Calculator. For prop-firm rule checks, the Consistency Calculator.
Exact Calculations vs Simulation Estimates
EXACT CALCULATIONS
- Expectancy from entered averages
- Break-even win rate
- Compounded drawdown from consecutive losses
- Required recovery gain
- Exact losing-streak probability under independent Bernoulli assumptions
SIMULATION ESTIMATES
- Threshold-hit probability
- Ending-balance distribution
- Maximum-drawdown distribution
- Longest-losing-streak distribution
This transparency is important. The losing-streak probability is exact under the independent Bernoulli model. The threshold-hit probability is a finite-horizon Monte Carlo estimate.
How to Use the Risk of Ruin Calculator
Mode 1 — Risk of Ruin: Enter your strategy statistics and click Run Simulation. The calculator runs a seeded Monte Carlo simulation across thousands of trading paths and reports the estimated threshold-hit probability, ending-balance distribution, and drawdown/streak distribution.
Mode 2 — Losing Streak: Enter your win rate, number of trades and target streak length. The calculator returns the exact probability of experiencing at least one run of that many consecutive losses, using dynamic programming. A table shows probabilities for streaks of 2 through 10 losses.
Mode 3 — Drawdown & Recovery: Enter your starting balance, risk per trade, average loss and number of consecutive losses. The calculator shows the compounded drawdown, ending balance, recovery gain required, losses needed to reach a target drawdown, and a trade-by-trade table.
Mode 4 — Risk Comparison: See how the same strategy behaves under different risk-per-trade settings (0.25% through 5%). The table shows 5-loss and 10-loss drawdowns, losses to threshold, and optional simulation estimates.
What Is Risk of Ruin in Trading?
Risk of ruin is the probability that a trading strategy will reach a defined loss threshold over a given number of trades. It depends on position-sizing method, win probability, payoff distribution, trade dependence, ruin definition and time horizon.
This calculator uses fixed-fractional position sizing (risk as a percentage of current equity), binary win/loss outcomes based on entered average R values, a finite trade horizon, and a seeded Monte Carlo simulation. There is no single universal risk-of-ruin formula applicable to all trading systems.
The result is a model estimate, not a forecast. It describes what would happen under the stated assumptions — it does not predict actual future trades.
How This Calculator Estimates Risk of Ruin
The Risk of Ruin mode uses a finite-horizon Monte Carlo simulation. Each simulated path starts at the entered starting balance and processes the entered number of trades. For each trade, a random number determines whether it is a win or loss based on the entered win rate.
A win multiplies equity by (1 + risk × avgWinR); a loss multiplies by (1 − risk × avgLossR). The simulation tracks whether the equity hits the threshold, the ending balance, the maximum peak-to-trough drawdown, and the longest losing streak.
Across thousands of paths, the threshold-hit probability is the fraction of paths that hit the threshold. The simulation uses a seeded PRNG (Mulberry32) for reproducibility — the same seed and inputs always produce the same result.
The simulation assumes independent trades with constant statistics. Real trades can be correlated, and market regime changes can produce more clustered outcomes than the model assumes.
Risk of Ruin vs Drawdown
Drawdown measures how far an account has fallen from a peak (or from the starting balance). It is a measure of what has happened or what a sequence of losses would produce.
Risk of ruin estimates the probability of reaching a specified loss threshold over a number of trades. It is a forward-looking probability estimate under the model assumptions.
They are related but distinct concepts. A strategy can have a high risk of ruin (probability of hitting a threshold) even if its current drawdown is small — because the probability is about what might happen over many future trades.
Probability of Consecutive Losing Trades
What is the probability of 5 losses in a row? The answer depends on two things: your loss probability and the number of trades you will make.
At a 50% win rate, the probability of five specific consecutive trades all being losses is 0.5^5 = 3.125%. But the probability of seeing at least one five-loss streak somewhere across 100 trades is much higher — because there are many overlapping opportunities for a streak to occur.
The Losing Streak mode uses dynamic programming to compute the exact probability under the independent Bernoulli model. It does not use the naive formula 1 − (1 − q^k)^N, which is an approximation that overstates the probability for small N.
This probability is exact only under the independent-trades assumption. Real trades can be correlated — market regime changes may produce more clustered losses than the model assumes.
How Much Drawdown Do Consecutive Losses Cause?
At fixed-fractional risk, repeated losses compound. Each loss reduces equity by the risk percentage multiplied by the average loss in R.
Example with 1% risk and 1R average loss: 10 losses leave 0.99^10 ≈ 90.44% of starting capital — a 9.56% drawdown.
Example with 2% risk: 0.98^10 ≈ 81.71% — a drawdown of about 18.29%.
The Drawdown & Recovery mode shows this step by step and also calculates how many consecutive losses are needed to reach a target drawdown.
Why Drawdown Recovery Is Asymmetric
Recovery gain = drawdown / (1 − drawdown). This means recovery grows faster than the drawdown itself.
A 10% loss needs an 11.11% gain. A 30% loss needs a 42.86% gain. A 50% loss needs a 100% gain — you must double what remains.
| Drawdown | Gain Required to Recover |
|---|---|
| 5% | 5.26% |
| 10% | 11.11% |
| 20% | 25% |
| 30% | 42.86% |
| 40% | 66.67% |
| 50% | 100% |
| 60% | 150% |
| 70% | 233.33% |
| 80% | 400% |
| 90% | 900% |
This is deterministic percentage mathematics — not a simulation.
How Risk Per Trade Changes Account Drawdown
At fixed-fractional risk, each loss reduces equity by a percentage of current equity. The same number of consecutive losses produces a larger drawdown at higher risk per trade.
With 1% risk, 10 consecutive 1R losses leave about 90.44% of starting capital. With 2% risk, the same 10 losses leave about 81.71%. With 5% risk, they leave about 59.87% — a 40.13% drawdown.
The Risk Comparison mode shows this relationship across multiple risk levels side by side. It does not recommend any risk level — it demonstrates the mathematical differences.
Why Win Rate Alone Is Not Enough
A high win rate does not guarantee low risk of ruin. A strategy that wins 70% of the time but has an average win of 0.5R and an average loss of 2R has a negative expectancy — 0.7 × 0.5 − 0.3 × 2 = −0.25R per trade.
Conversely, a strategy that wins only 35% of the time but has an average win of 3R and an average loss of 1R has a positive expectancy — 0.35 × 3 − 0.65 × 1 = +0.4R per trade.
Expectancy (which combines win rate with reward-to-risk) is more informative than win rate alone. The calculator displays the expectancy and break-even win rate from your entered assumptions.
Risk of Ruin vs Risk Reward and Expectancy
Risk of ruin, risk reward and expectancy answer different questions:
- Risk of Ruin (this page): "What is the estimated probability of hitting a loss threshold over N trades?"
- Risk Reward — Risk Reward Calculator: "How does the target distance compare with the stop distance on a single trade?"
- Lot Size — Lot Size Calculator: "What position size corresponds to my chosen account risk?"
- Consistency — Prop Firm Consistency Calculator: "Is my best-day profit concentration within a threshold?"
- Profit — XAUUSD Profit Calculator: "What P&L results from this entry, exit and size?"
For the broader risk-management framework, see our forex risk management for beginners guide. For collateral requirements, the Margin Calculator. For pip/increment value, the Pip Value Calculator.
Assumptions and Limitations
Independent trades: The exact streak probability and Monte Carlo simulator assume independent trade outcomes. Real trades can be correlated — market regime changes can produce more clustered wins and losses than the model assumes.
Constant statistics: The model assumes constant win rate, average win and average loss. Real strategy performance changes over time.
No costs: The model works in R multiples and does not separately model spread, commission, swap or slippage. Historical win rate and average R values are most useful when calculated from net completed trades.
Binary outcomes: Each trade is modeled as a win or loss at the average R values. Real trades have a distribution of outcomes, not a binary one.
Finite horizon: The simulation runs over a fixed number of trades. It does not model an infinite-horizon risk of ruin.
The result is a model estimate, not a forecast. It describes what would happen under the stated assumptions — it does not predict actual future trades.
Frequently Asked Questions
What is a risk of ruin calculator?
A risk of ruin calculator estimates the probability that a trading strategy will reach a defined loss threshold over a given number of trades. This calculator uses a finite-horizon Monte Carlo simulation for the threshold-hit estimate and exact dynamic programming for losing-streak probabilities. The results are model estimates, not forecasts.
How is risk of ruin calculated in forex trading?
Risk of ruin depends on position-sizing method, win probability, payoff distribution, trade dependence, ruin definition and time horizon. This calculator uses fixed-fractional position sizing, binary win/loss outcomes based on entered average R values, a finite trade horizon, and a seeded Monte Carlo simulation. There is no single universal risk-of-ruin formula applicable to all trading systems.
Is risk of ruin an exact probability?
No. The threshold-hit probability is a finite-horizon Monte Carlo simulation estimate, not an exact probability. The losing-streak probability is exact under the independent Bernoulli model, but real trades can be correlated. The calculator clearly separates exact deterministic calculations from simulation estimates.
What information do I need for a risk of ruin calculator?
You need your win rate (percentage of winning trades), average win in R multiples, average loss in R multiples, risk per trade as a percentage of equity, starting balance, trade horizon, and a loss threshold. For the simulation, you also choose the number of paths and a seed for reproducibility.
How does risk per trade affect risk of ruin?
Higher risk per trade increases the equity swing on each trade. This means consecutive losses compound faster, the drawdown from the same losing streak is larger, and the probability of hitting a given threshold within a fixed number of trades generally increases. The Risk Comparison mode demonstrates this relationship across multiple risk levels.
Can a profitable strategy still experience a large drawdown?
Yes. A strategy with positive mathematical expectancy can still experience significant losing streaks and drawdowns, especially over a large number of trades. Positive expectancy describes the average outcome per trade — it does not guarantee that every sequence of trades will be smooth. This is why risk management matters even for profitable strategies.
What is the probability of five losses in a row?
It depends on your loss probability and the number of trades. At a 50% win rate, the probability of five specific consecutive trades all being losses is 0.5^5 = 3.125%. But the probability of seeing at least one five-loss streak somewhere across 100 trades is much higher — use the Losing Streak mode for the exact figure under the independent-trades model.
What is the probability of ten losing trades in a row?
At a 50% win rate, the probability of ten specific consecutive losses is 0.5^10 ≈ 0.098%. But across 200 trades, the probability of at least one ten-loss streak is higher. The Losing Streak mode uses dynamic programming to compute the exact probability under the independent Bernoulli model.
How do I calculate drawdown from consecutive losses?
Under fixed-fractional risk, each loss reduces equity by the risk percentage multiplied by the average loss in R. After n consecutive losses, the ending balance is StartingBalance × (1 − r × L)^n, where r is the risk fraction and L is the average loss in R. The Drawdown & Recovery mode shows this step by step.
How much gain is needed to recover a 10% drawdown?
A 10% drawdown requires an 11.11% gain to recover. If you start with $10,000 and lose 10% ($1,000), you have $9,000. To return to $10,000, you need to gain $1,000 on a $9,000 base — that is 11.11%.
How much gain is needed to recover a 20% drawdown?
A 20% drawdown requires a 25% gain to recover. From $10,000, a 20% loss leaves $8,000. Returning to $10,000 means gaining $2,000 on an $8,000 base — that is 25%.
Why does a 50% drawdown need a 100% gain?
Because the gain is calculated on the reduced balance. A 50% loss from $10,000 leaves $5,000. Returning from $5,000 to $10,000 means doubling the remaining balance — a 100% gain. This asymmetry is why drawdown recovery becomes progressively harder as the drawdown deepens.
What is the difference between drawdown and risk of ruin?
Drawdown measures how far an account has fallen from a peak (or from the starting balance). Risk of ruin estimates the probability of reaching a specified loss threshold over a number of trades. Drawdown is a measure of what has happened; risk of ruin is a probability estimate of what might happen under the model assumptions.
Does win rate alone determine risk of ruin?
No. Win rate, average win, average loss, risk per trade, trade horizon and threshold definition all affect the result. A high win rate with a very small average win and large average loss can still have poor risk characteristics. Expectancy (which combines win rate with reward-to-risk) is more informative than win rate alone.
Does reward-to-risk affect risk of ruin?
Yes. The average win and average loss in R multiples determine the expectancy per trade and the equity multiplier on each outcome. A higher reward-to-risk ratio means each win contributes more, but if the win rate is low, the losing streaks may be longer. The simulation accounts for both.
Does this calculator work for Forex and XAUUSD?
Yes. The model works in R multiples and is instrument-agnostic. Enter your strategy statistics (win rate, average win/loss in R, risk per trade) regardless of whether you trade forex pairs or gold. The mathematical model does not depend on the instrument.
Can I use it for a prop-firm account?
The general risk model can illustrate how a strategy behaves around an entered drawdown threshold, but prop firms may use daily loss limits, static drawdown, trailing drawdown, intraday equity, end-of-day balance, and consistency rules. Therefore this tool does not certify prop-firm compliance. For consistency-rule checks, use the Prop Firm Consistency Calculator.
Does the calculator include commission or spread?
No. The model works in R multiples and does not separately model spread, commission, swap or slippage. Historical win rate and average R values are most useful when calculated from net completed trades — in that case, costs are already reflected in the R values.
What assumptions does the Monte Carlo simulation make?
The simulation assumes independent trades with constant win rate, average win, average loss and fractional risk. Real trading results can cluster (correlated outcomes), change over time (regime shifts), and include costs or execution differences. The result is a model estimate, not a forecast.
Risk Disclaimer
Trading forex, gold and CFDs involves significant risk and may not be suitable for everyone.
This calculator is provided for educational and informational purposes only and should not be considered financial advice, investment advice or a recommendation to buy or sell any financial instrument.
The simulation assumes independent trades with constant statistics. Real trading results can cluster, change over time and include costs or execution differences. The result is a model estimate, not a forecast.
Always perform your own analysis and use appropriate risk management.
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