Survival Math12 min read

Risk of Ruin

How likely is your account to hit zero (or an unacceptable drawdown) before your edge plays out? Use these rules and tables to keep Ruin risk near 0%.

Key Takeaways

  • • Ruin risk explodes with oversized bets. Keep risk per trade at 0.5-2% for most systems.
  • • Higher R:R reduces Ruin dramatically even at modest win rates.
  • • Correlated trades stack risk. Limit simultaneous exposure to similar assets.
  • • Fractional Kelly (25-50%) balances growth and survival; full Kelly is too volatile for most.

What is Risk of Ruin?

Risk of Ruin (RoR) is the probability that a trading strategy eventually loses enough capital to make recovery practically impossible. You can define "ruin" as hitting $0 or a threshold like -50% or -30%.

Back-of-the-Envelope Approximation

For independent trades with win probability p and loss probability q = 1 - p, edge per trade e, and fixed fraction f of capital risked per trade, RoR drops as p, e increase and rises with f. A practical approach: keep f small and verify with Monte Carlo.

Key Factors That Drive Ruin

Positive

  • • Higher R:R (e.g., 2:1 vs 1:1)
  • • Higher win rate (p)
  • • Lower risk per trade (f)
  • • Low correlation between simultaneous trades

Negative

  • • Over-sizing (>2% per trade)
  • • High correlation (stacked exposure)
  • • Ignoring costs and slippage
  • • Regime shifts unaccounted for

Practical Rules to Lower Ruin

Sizing Rules

  • • Risk 0.5-1% per trade for high-volatility markets; 1-2% for calmer markets.
  • • Use fractional Kelly (25-50% of Kelly sizing) rather than full Kelly.
  • • Cap portfolio risk: total open risk <= 4-6% across correlated trades.

Validation Rules

  • • Require 100+ trades (preferably 200-500) before trusting estimates.
  • • Validate with walk-forward analysis (consistency > 0.70 is good).
  • • Monte Carlo 1,000+ runs; ensure 95% worst case is acceptable.

Quick Tables (Heuristics)

Suggested Risk Per Trade

Win RateR:RRisk Per Trade
40-50%2:10.5-1.0%
50-60%1.5:1 - 2:11.0-1.5%
60-70%1:1 - 1.5:11.5-2.0%
<40%>= 3:10.25-0.5%

Consecutive Loss Tolerance

Risk Per TradeLosses to -50%Losses to -30%
0.5%13969
1.0%6935
2.0%3518
5.0%147

Frequently Asked Questions

Is there a precise formula for Risk of Ruin?

Exact formulas exist for certain assumptions, but real trading violates independence, equal bet sizing, and constant edge. We recommend approximations plus Monte Carlo simulation to measure practical Ruin risk.

How does Kelly Criterion relate to Ruin?

Full Kelly maximizes growth rate but creates large drawdowns and high short-term Ruin risk. Fractional Kelly (25-50%) retains most growth while significantly lowering Ruin probability.

What counts as Ruin if I never hit $0?

Practical Ruin is hitting a drawdown where you stop trading or cannot recover (e.g., -50%). Define a threshold that would force you to stop, and size to keep the probability near 0%.

Related Guides

Lower Your Risk of Ruin

Backtest with proper sizing, run walk-forward validation, and simulate thousands of equity paths. Keep survival odds on your side.