The fine print of trading and investing


Nobody Rebuilds From Zero: Risk Rules That Protect Trading Capital · Lesson III

Drawdown Limits and the Arithmetic of Getting Back to Even

Drawdown recovery math is lopsided: every loss needs a bigger gain to undo it, and the gap widens fast. Knowing the numbers is what makes a drawdown limit worth setting before you need one.

AI-assisted, reviewed by the The Margin Report human editor: John Todora → About 12 minutes Published

  1. IRisk Per Trade: Turning a Percentage Into Dollars and Shares
  2. IIPlacing a Stop Where the Trade Idea Is Wrong
  3. IIIDrawdown Limits and the Arithmetic of Getting Back to Even
  4. IVWriting a One-Page Risk Plan You Can Follow on a Bad Day

In this lesson you will learn to

  • Calculate the gain needed to recover from any percentage loss
  • Work out what a losing streak costs when each loss is a fixed share of the current balance
  • Set drawdown steps in dollars before trading, measured from the account's peak

What does a run of ten losing trades actually cost? The instinctive answer is ten times the risk per trade. The real loss is a little smaller than that, and the climb back is a lot bigger, by an amount that depends almost entirely on how much each trade was allowed to lose.

The way back is longer than the way down

Start with a single loss. Divide the loss by what remains.

Recovery gain = loss / (1 - loss)

The effect is small for small losses and grows fast.

Loss Gain needed to get back to even
10% 11.1%
20% 25%
30% 42.9%
50% 100%

A 10% loss needs 11.1%. That’s close enough to ignore. At 30% it needs 42.9%, a gap nobody can wave away. At 50% the account has to double, which can take a very long time, and the loss recovery calculator will run the formula for any loss you type in.

A losing streak, compounded

Now the streak. If every trade risks a fixed share of the current balance, each loss is taken from a slightly smaller account, so the losses shrink as they go, and the total is less than a simple multiplication would suggest.

At 1% a trade the streak costs under a tenth. At 3% it takes more than a quarter of the account, and the balance then needs a gain of over a third just to get back to where it stood before the first loss of the run, which is a long climb at any sensible trade size. Triple the risk and the climb back more than triples.

In dollars, on a hypothetical $20,000 account, the 1% streak leaves $18,088, a loss of $1,912. The 3% streak leaves $14,748. That is $5,252 gone, and earning it back means making $5,252 on a balance of $14,748, which is the 35.6% from the working above, taken one trade at a time from an account that now allows smaller positions than it did before the run began.

The picks and the entries could be identical; only the size differs.

Nothing about ten losses in a row is exotic. Even a method that wins more often than it loses will string losses together at some point, and nobody can say in advance when the run will come, how long it will last or whether the next trade ends it.

Measure from the peak

An account that grew from $20,000 to $25,000 and then fell to $22,000 is in a 12% drawdown, even though it is still up on the year. The maximum drawdown entry covers how the worst of those falls is tracked.

The peak moves up with new highs. It never moves down.

Set the steps before the losses

Decisions about cutting back are easier to make on a quiet evening than in the middle of a losing week, when every instinct pushes toward trading bigger to win it back. So decide the steps now, write them in dollars, and treat them as fixed.

A hypothetical set for a $20,000 peak might read like this:

  • At a 5% drawdown, $19,000, halve the risk per trade.
  • At a 10% drawdown, $18,000, stop opening new trades, go through the last month of the journal trade by trade, and restart at half size only once you can say what went wrong or have satisfied yourself that nothing did.
  • Go back to full size at a new peak.

The levels are examples. Yours depend on the account, the method and how often you trade, and the answer on choosing the drawdown at which to stop trading weighs the choice.

Prop firm evaluations turn the same idea into a hard rule. The firm sets a loss floor, sometimes fixed below the starting balance and sometimes trailing the peak, and crossing it ends the account. The static drawdown entry explains the fixed kind. Your own steps belong well above any such floor.

The strongest objection to cutting size is that it slows the recovery. That’s true. Half-size trades earn back half as much per win, so the climb takes longer. The trade-off is that a trader in a bad patch, whatever the cause, keeps taking losses at half the cost while the cause gets found, and a slower recovery from 10% beats a fast slide to 30%, which needs 42.9% to undo.

The last lesson collects this rule and the earlier ones into a single written plan short enough to follow on the day you least want to.

Check your understanding

Lesson quiz

  1. 1An account is down 20% from its peak. What gain brings it back to even?
    Show the answer

    B: 25%. Recovery gain = loss / (1 - loss) = 0.20 / 0.80 = 25%.

  2. 2Ten losses in a row, each 3% of the current balance, leave about what share of the account?
    Show the answer

    A: 73.7%. Each loss leaves 97% of the balance before it, so ten in a row leave 0.97^10 = 73.7%.

  3. 3After ten straight 3% losses the account holds 0.7374 of its starting value. What gain restores it?
    Show the answer

    C: 35.6%. The gain needed is 1 / 0.7374 - 1 = 0.356, or about 35.6%, larger than the 26.3% that was lost.

Readers also ask

Why does a loss need a bigger gain to recover?

The gain is earned on a smaller balance. Lose 20% of $10,000 and $8,000 is left; getting back to $10,000 means making $2,000 on $8,000, which is 25%. The deeper the loss, the smaller the base the recovery has to work from, so the gain required rises more steeply than the loss itself.

Should you stop trading after a big drawdown?

Many traders set a level at which they stop and review, such as a fixed percentage below the account's peak, and decide it before trading starts. The figure depends on the account and the strategy. A separate answer on picking a stop-trading level covers the choice in more detail.