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Drawdown depth

Why losses hurt more than gains help, and how deep the holes get. · 5 min

Decide first

An account falls 50% from its peak. What gain takes it back to the peak?

A drawdown is the fall from a running peak to a later low. Getting back takes a bigger percentage gain than the loss, because the gain works on a smaller balance:

gain to recover = 1 ÷ (1 − drawdown) − 1
Drawdown10%20%30%50%75%
Gain to recover11.1%25%42.9%100%300%

Small drawdowns are cheap to recover; deep ones are not. Past 50% the recovery needs more than a doubling, which at +0.2R per trade and 1% risk takes about 367 trades for the median trader. That asymmetry is why sizing aims first at keeping drawdowns shallow, and only then at growth.

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.

Worked example: a compounded streak

  1. Risk 2% per trade, ten losses in a row.
  2. 0.98¹⁰ = 0.8171: the drawdown is 18.3%.
  3. Gain to recover: 1 ÷ 0.8171 − 1 = 22.4%.
  4. At +0.2R per trade and 2% risk the median account grows 0.36% per trade: about 57 trades to climb out.

Common mistake: adding percentages

Down 20%, up 20% is not break-even: 0.8 × 1.2 = 0.96, still 4% down. Percent gains and losses multiply. Always convert to the balance before reasoning about recovery.

Check yourself

  1. An equity path (start 100): 100 → 110 → 104.5 → 115 → 126.4 → 120.1 → 114.1. What is its maximum drawdown?
  2. The account is 20% below its peak. What gain gets it back?
  3. At 1% risk per trade, 6 straight losses. What is the drawdown, and the gain needed to recover?

Closing round

Play a bear-market round and read the max drawdown in the review. What gain would recover it?

Play the round in the simulator →

The simulator's markets are generated, not real prices; the round practises the arithmetic, it does not predict anything.

Further reading: Tharp, Trade Your Way to Financial Freedom. The lesson teaches the idea in its own words and exercises.