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Drawdown Calculator

Peak-to-trough decline, and the gain required to climb back out of it.

Inputs it asks for
Peak equity value
Trough equity value
Expected annual return % value
Formula shown · assumptions disclosed

What it computes

Peak-to-trough decline, and the gain required to climb back out of it. The page states the equation, the units it expects and the rounding it applies, so the result can be reproduced by hand.

Where it sits in the chain

A calculator gives you a number. This one feeds the next: account to risk, risk to position size, position size to the trade, and the trade to expectancy, drawdown and risk of ruin.

See the performance tools →
Inputs
Result
Drawdown 24.00%
Lost $12,000
Gain needed to recover 31.58%
Years at that return 2.0
Recovery is asymmetric because the gain is computed on the smaller balance. Past about 30% the two numbers separate sharply.
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The formula

drawdown = (peak − trough) ÷ peak
recovery = drawdown ÷ (1 − drawdown)
years = ln(1 + recovery) ÷ ln(1 + annual return)

The gain needed always exceeds the loss taken, because it is computed on the smaller balance.

Worked example

A peak of $50,000 falling to $38,000, with a 15% annual return:

drawdown = 12,000 ÷ 50,000 = 24.00%
recovery = 0.24 ÷ 0.76 = 31.58%
years = ln(1.3158) ÷ ln(1.15) = 2.0

Two years of returns to get back to where you were — during which the capital compounds nothing.

What it assumes

  • The recovery estimate assumes the strategy performs at its average throughout, which a strategy in drawdown is demonstrably not doing.
  • It measures peak-to-trough on closed equity. Intraday drawdown is deeper.

Common questions

How much do I need to gain back after a 50% loss?

100%. The asymmetry grows fast: 20% needs 25%, 30% needs 42.9%, and 90% needs 900%.

What drawdown should I plan for?

Larger than your worst so far. Sizing off historical maximum drawdown fits the number to the sample and understates the tail.

What is the difference between maximum and current drawdown?

Current drawdown is measured from the most recent peak. Maximum is the deepest the account has ever been below a peak, and it is the figure to size against.

What to work out next

A calculator answers one question and raises the next. These are the ones this figure feeds into.

Risk of Ruin Calculator

The probability that a losing run takes out a defined share of the account.

Compounding Calculator

How a fixed monthly return compounds an account balance over time.

Position Size Calculator

Turn an account balance, a risk percentage and a stop distance into a size in lots, shares or contracts.

Drawdown Calculator · rounding shown to the precision displayed

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Risk of Ruin Calculator

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Compounding Calculator

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Sharpe Ratio Calculator

Return per unit of volatility, and what the ratio does not tell you.

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Quantify the trade, then keep the record.