MRPNL

Risk of Ruin

The statistical probability that a trader will lose enough capital to be forced out of trading entirely, given their edge and risk per trade.

Card view

Formula

Risk of Ruin ≈ ((1 − Edge) / (1 + Edge))^N  [simplified; Edge = Win Rate − Loss Rate]

Risk of ruin answers: "Given my win rate, R:R, and position sizing, what are the odds I eventually go broke?" It is the ultimate constraint on risk parameters — even a positive-expectancy system can have a non-zero risk of ruin if position sizes are too large.

Risk of ruin falls rapidly as position size decreases, and rises sharply as risk per trade increases. A system risking 1% per trade with positive expectancy typically has a near-zero risk of ruin; the same system at 10% per trade may have meaningful ruin probability.

#risk#math#survival

Related Terms

Risk Management

Black Swan

An extreme, unpredictable, high-impact event that falls outside the range of normal expectations and is rationalised as predictable only in hindsight.

Intermediate
Risk Management

Capital Preservation

The principle of protecting trading capital above all else — because you cannot trade without capital, survival is the first objective.

Beginner
Risk Management

Drawdown

The peak-to-trough decline in account equity from a high point to the subsequent low before a new high is reached.

Beginner
Risk Management

Expectancy

The average dollar amount you expect to make per dollar risked, calculated from your win rate and average win/loss sizes.

Intermediate
Risk Management

Kelly Criterion

A formula that calculates the theoretically optimal fraction of capital to risk per trade to maximise long-run account growth without ruin.

Advanced
Risk Management

Maximum Drawdown

The largest peak-to-trough equity decline recorded over a strategy's full history — the worst-case loss an investor would have experienced.

Intermediate
Risk Management

Risk Per Trade

The percentage or dollar amount of your account you are willing to lose on a single trade. Typically 0.5–2% for most traders.

Beginner
Risk Management

Risk Tolerance

The maximum level of financial loss and psychological discomfort a trader can absorb without deviating from their strategy.

Beginner
Risk Management

Win Rate

The percentage of trades that close at a profit. High win rate does not guarantee profitability without a favourable risk-reward ratio.

Beginner