What Is Risk of Ruin?
Risk of ruin is the probability that your trading account will eventually go to zero given your strategy's edge and risk management parameters. Even profitable strategies can have a non-trivial risk of ruin if position sizes are too large relative to capital.
Risk of Ruin = ((1 − Edge) / (1 + Edge)) ^ Risk UnitsWhere Edge is your expected return per dollar risked and Risk Units is how many times you can risk your per-trade amount before the account hits zero (capital ÷ risk per trade). With a 0.2 edge and 2% risk per trade (50 risk units): ((1−0.2)/(1+0.2))^50 ≈ 0.0001% — negligible.
How Risk Per Trade Changes Everything
The same strategy with different risk levels produces dramatically different outcomes. A 0.2 edge strategy at 2% risk has negligible ruin probability; at 10% risk (10 risk units), RoR rises to ~1.73%. The difference is purely position sizing.
| Risk per Trade | Risk Units | Risk of Ruin (0.2 edge) |
|---|---|---|
| 1% | 100 | ~0% |
| 2% | 50 | ~0.0001% |
| 5% | 20 | 0.03% |
| 10% | 10 | 1.73% |
Edge vs Risk: The Trade-Off
A large edge can compensate for higher risk, but edge estimates are uncertain in real trading. Your actual win rate may be 5-10% lower than backtesting suggests. A 0.2 estimated edge that's actually 0.1 doubles the risk of ruin. Always assume your real edge is lower than your backtest suggests and size accordingly.