Max consecutive losers in any system
Estimate the longest expected losing streak from a system's winrate and trade sample.
Lesson path
Market Foundations + Forex Mechanics
Risk Management Math
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Estimate the longest expected losing streak from a system's winrate and trade sample.
Every system has a worst streak
Every trading system, no matter how good, will produce a streak of consecutive losers. The lower the winrate, the longer that streak gets. The math is unavoidable. A rough estimate of the longest losing run you can expect in a sample of N trades is: log(N) divided by log(1 divided by loss rate). Yes, it uses logs. We'll work an example so it stays usable.
Worked example. You run a system with a 50 percent winrate over 100 trades. Loss rate is 0.5, so log(1/0.5) is about 0.30 in base 10. log(100) is 2. Divide 2 by 0.30 and you get about 6.6, rounding to 7. So in 100 trades at 50 percent winrate, expect at least one streak of about 6 to 7 losers in a row.
Same math at a 40 percent winrate. Loss rate is 0.6, so log(1/0.6) is about 0.22. log(100) is 2. 2 divided by 0.22 is about 9.1. Expect a streak of around 9 losers in 100 trades. Lower winrate means longer worst-streak, which is one reason high-reward, low-winrate systems demand more emotional discipline than they look.
Practical implication. If you risk 1 percent per trade and a 9-loss streak hits, you are down about 8.6 percent on a compounding base. Annoying but survivable. If you risk 5 percent, the same streak is a 37 percent drawdown that needs about a 59 percent recovery. Same streak, very different damage. The fix is not avoiding streaks. They will come. The fix is sizing for them.
Recap: longest losing streak grows with sample size and shrinks with winrate. Plan sizing for streaks of 7 to 10 in any realistic year, then double it for safety.
Knowledge check
Answer before moving on.
1. System: 50% winrate over 100 trades. Roughly how long is the worst expected losing streak?
2. A 40% winrate system runs 100 trades. Compared to 50% winrate, the worst streak will be:
3. Why is sizing for a longer-than-expected streak important?
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