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Risk management for traders · Lesson 2 of 4

The maths of drawdown

7 min

Losses and recoveries are not symmetrical

If an account falls by a fraction L, it needs a gain of L ÷ (1 − L) to get back to where it was.

DrawdownGain needed to recover
Five percentAbout five point three percent
Ten percentAbout eleven point one percent
Twenty percentTwenty-five percent
Thirty percentAbout forty-three percent
Fifty percentOne hundred percent

The larger the drawdown, the harder recovery becomes, and not in a straight line. That is why a trader's most important job is avoiding large drawdowns, not chasing large profits.

Losing streaks

Even a good strategy has losing streaks. At a fixed risk of one percent of the current balance:

  • Five losses in a row: a drawdown of about four point nine percent
  • Ten losses in a row: a drawdown of about nine point six percent

At five percent risk, ten losses in a row create a drawdown of about forty percent, which needs a gain of about sixty-seven percent to recover.

The practical lesson

Before each month begins, write down the drawdown you will accept, for example six percent. If you reach it, stop trading until the end of the month and review your journal. Investors and prop evaluators measure exactly this discipline.

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