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Performance

Risk of Ruin Calculator

The probability that a losing run takes out a defined share of the account.

Inputs it asks for
Risk per trade % value
Win rate % value
Reward : risk ratio value
Ruin threshold % value
Formula shown · assumptions disclosed

What it computes

The probability that a losing run takes out a defined share of the account. The page states the equation, the units it expects and the rounding it applies, so the result can be reproduced by hand.

Where it sits in the chain

A calculator gives you a number. This one feeds the next: account to risk, risk to position size, position size to the trade, and the trade to expectancy, drawdown and risk of ruin.

See the performance tools →
Inputs
Result
Expectancy 0.35R per trade
Estimated risk of ruin 0.0%
A simplified approximation, not the exact solution for a general return distribution. Treat it as directional, not precise.
Save this result to your dashboard. Save

The formula

e = 2p − 1 (edge)
u = capital ÷ risk per trade (units)
RoR = ((1 − e) ÷ (1 + e))^u

The exponent is the number of consecutive losses you could absorb. It is where position size enters, and it dominates the result.

Worked example

A 55% win rate at 1:1, risking 2% per trade — so 50 units of capital:

e = 2(0.55) − 1 = 0.10
RoR = (0.90 ÷ 1.10)^50 ≈ 0.005%
same strategy at 10% risk (10 units):
RoR = (0.90 ÷ 1.10)^10 ≈ 13.5%

The strategy did not change. Position size moved ruin from negligible to better than one in eight.

What it assumes

  • Trades are independent — they are not, and correlation raises ruin.
  • The win rate is known rather than estimated, which ignores the chance the true edge is lower.
  • The edge is stable. Every assumption fails in the same direction, so the figure is a floor.

Common questions

What is an acceptable risk of ruin?

Under 1% is the usual target, but the more useful reading is comparative: hold the strategy fixed, vary the risk percentage, and watch how fast the probability moves.

Should I use zero as the ruin level?

No. Use the level at which you would actually stop trading. Substituting a 30% drawdown for zero gives a much higher and much more honest number.

Does a positive edge make ruin impossible?

No. It makes ruin unlikely at small position sizes and quite likely at large ones. The edge sets the base; the position size sets the exponent, and the exponent dominates.

What to work out next

A calculator answers one question and raises the next. These are the ones this figure feeds into.

Kelly Criterion Calculator

The growth-optimal fraction, and the reason most traders size well below it.

Drawdown Calculator

Peak-to-trough decline, and the gain required to climb back out of it.

Position Size Calculator

Turn an account balance, a risk percentage and a stop distance into a size in lots, shares or contracts.

Risk of Ruin Calculator · rounding shown to the precision displayed

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Kelly Criterion Calculator

The growth-optimal fraction, and the reason most traders size well below it.

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Compounding Calculator

How a fixed monthly return compounds an account balance over time.

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Sharpe Ratio Calculator

Return per unit of volatility, and what the ratio does not tell you.

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Expectancy Calculator

Average outcome per trade from win rate and average win and loss. The number win rate hides.

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Quantify the trade, then keep the record.