Maximum Drawdown Calculator

This maximum drawdown calculator measures the largest peak-to-trough decline for an investment, portfolio, strategy, fund, or index segment. It focuses on downside path risk: how far value fell from a high point to a later low. That makes it different from a volatility statistic, which summarizes typical variation, and different from a return calculator, which may hide a painful interim loss. Informational, not investment advice.

The calculator matches the calculation’s calculation method. It accepts a peak value, the lowest value after that peak, and an optional recovery CAGR. It rejects cases where the peak is zero or negative, the low is negative, the low is above the peak, or the recovery CAGR is negative. It reports the drawdown as a negative percentage, the dollar loss from peak, the gain needed to recover, and, when possible, an estimated recovery time.

How to use this calculator

Enter the peak value first. This is the high-water mark before the decline. It can be a portfolio balance, stock price, fund net asset value, index level, or strategy equity curve value. Next, enter the lowest value after peak. The order matters: the low must occur after the peak you selected.

If you want a time-to-recovery scenario, enter a recovery CAGR. This is the assumed annual compound growth rate after the trough. A zero recovery CAGR is allowed as an input, but it cannot produce a finite recovery time. A positive CAGR lets the calculator estimate how many years it would take for the trough value to compound back to the prior peak.

Use drawdown alongside return metrics. A strategy can have an attractive annualized rate of return but still be hard to hold if the maximum drawdown is severe. For total return context, use the holding period return calculator. For risk comparison, pair this page with the Value at Risk calculator and the compound interest calculator.

Formula

The peak-to-trough loss is calculated as:

$\text{maximum drawdown} = \frac{\text{lowest value after peak} - \text{peak value}}{\text{peak value}} \times 100$

The dollar loss is:

$\text{loss from peak} = \text{peak value} - \text{lowest value after peak}$

The gain needed to recover is:

$\text{gain needed} = \left(\frac{\text{peak value}}{\text{lowest value after peak}} - 1\right) \times 100$

When the recovery CAGR is positive and the low is above zero, recovery time is:

$\text{recovery years} = \frac{\ln\left(\frac{\text{peak value}}{\text{lowest value after peak}}\right)}{\ln\left(1 + \frac{\text{recovery CAGR}}{100}\right)}$

If the low is zero, the gain needed is infinite. If the recovery CAGR is zero, the recovery time is not finite.

Checking a maximum drawdown scenario

The default values are a $276.21 peak, a $222.83 later low, and a 15% recovery CAGR.

The dollar loss is:

$\text{loss from peak} = \$276.21 - \$222.83 = \$53.38$

The drawdown percentage is:

$\text{maximum drawdown} = \frac{\$222.83 - \$276.21}{\$276.21} \times 100$

$\text{maximum drawdown} = -19.325875\%$

Rounded like the calculator, the peak-to-trough loss is -19.33%. The gain needed to recover is:

$\text{gain needed} = \left(\frac{\$276.21}{\$222.83} - 1\right) \times 100 = 23.95548\%$

The calculator displays 23.96%. Finally, with a 15% recovery CAGR:

$\text{recovery years} = \frac{\ln\left(\frac{276.21}{222.83}\right)}{\ln\left(1 + \frac{15}{100}\right)} = 1.5366$

the inputs rounds that to about 1.54 years. The example shows why the recovery gain is larger than the drawdown magnitude: a 19.33% loss must be earned back from a smaller trough value.

How maximum drawdown is used

Maximum drawdown is a practical risk measure because investors experience losses through time, not just as a final return number. Two portfolios can both finish the year up 8%, but one might have dropped 5% at worst while the other fell 35% before recovering. The final return is the same; the experience and behavior risk are not. A drawdown number also helps document whether a strategy stayed inside its intended risk budget during a difficult market.

Portfolio managers use drawdown to compare strategies, size positions, evaluate stop-loss rules, and communicate downside expectations. Individual investors use it to ask whether they could emotionally and financially tolerate a similar decline. Institutions may compare a strategy’s drawdown with a benchmark or mandate limit.

Drawdown is also useful after a loss. The gain-needed line translates a decline into the required rebound. A 20% drawdown needs a 25% gain to recover. A 60% drawdown needs a 150% gain. That nonlinear relationship is why avoiding very large losses can matter as much as chasing high average returns.

Limitations and tips

• Use a low that occurred after the peak; otherwise the result is not a drawdown.
• Do not compare drawdowns measured over very different histories without noting the sample length.
• Maximum drawdown says nothing about how often losses occur or how volatile smaller moves are.
• A historical drawdown is not a worst-case guarantee; future losses can be larger.
• Recovery time assumes smooth compounding at the entered CAGR, while real recoveries are uneven.
• If the low is zero, recovery requires new capital or a restructuring; ordinary percentage recovery is not finite.

Sources

• Corporate Finance Institute, Maximum Drawdown — peak-to-trough drawdown definition.
• Wikipedia, Drawdown — reference definition of drawdown in finance.