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Drawdowns and losing streaks

Why losses hurt more than gains help, and how long streaks get. · 5 min

A drawdown is the fall from a peak. Getting back takes a bigger percentage gain than the loss, because the gain applies to a smaller balance:

gain needed = 1 ÷ (1 − drawdown) − 1
Drawdown10%20%30%50%75%
Gain to recover11.1%25.0%42.9%100.0%300.0%

Losing streaks are longer than intuition suggests. A coin-flip system has better-than-even odds of losing six in a row somewhere in 100 trades. At 2% risk a streak of 10 costs 18.3%; at 5% it costs 40%. Risk per trade is the lever that keeps streaks survivable.

Losing streaks and drawdowns

Expect a worst streak of about 6.0 losses in a row

Losses in a rowChance in 100 tradesDrawdown at 2% riskGain needed to recover
3>99.9%5.9%6.2%
581.0%9.6%10.6%
731.8%13.2%15.2%
104.4%18.3%22.4%

A 50% win rate has better-than-even odds of six losses in a row somewhere in 100 trades. Size so that such a streak is survivable.