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4Grade 4: Risk Camp
Market Foundations + Forex Mechanics · Risk Management Math

Max consecutive losers in any system

Estimate the longest expected losing streak from a system's winrate and trade sample.

3 min read+25 XPLesson 63 of 110
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Market Foundations + Forex Mechanics

Risk Management Math

Lesson 63 of 11057%
Lesson 63 of 110Market Foundations + Forex MechanicsRisk Management Math

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Estimate the longest expected losing streak from a system's winrate and trade sample.

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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.

Wick points at a chalkboard with the streak formula and the answer of about 7 losses in a row for 100 trades at a 50% winrate, teaching that every system has a worst streak.Worst losing streaklog(N) ÷ log(1/loss%)100 trades, 50% win≈ 7 losses in a row
Wick saysAt a 50% winrate, 100 trades can bring a streak of about 7 losses in a row.

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.

Wick watches a scale where the 40% winrate side, with a streak of about 9 losses, sinks below the 50% side with about 7, showing that lower winrates bring longer streaks.50%winrateAbout 7 in a row40%winrateAbout 9 in a row?
Wick saysA lower winrate means a longer worst streak, so plan for it ahead of time.

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.

Wick compares a 1% risk card showing an 8.6% drop after nine losses with a 5% risk card showing a 37% drop that needs 59% to recover, teaching to size for streaks.1% risk9 losses in arow: down about8.6%5% risk9 losses in arow: down 37%,needs 59% back
Wick saysThe streak will come. Your size decides how much it hurts.

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.

0 / 3 answered

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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