Max Drawdown Calculator
Find the largest peak-to-trough decline in a portfolio's equity curve.
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Formula
The largest percentage decline from a peak to a subsequent trough. Measures the worst-case loss experienced during a given period.
At any point t, the current drawdown is the decline from the running peak. The maximum of all D_t values gives the max drawdown.
Examples
- Equity curve: 10000, 10500, 11000, 9800, 10200, 10800, 11500
- Running peak reaches 11000 at index 2
- Trough at 9800 (index 3)
- Drawdown = (9800 − 11000) / 11000 = −10.91%
- Portfolio later recovers to 11500, setting a new peak
- Equity curve: 50000, 52000, 48000, 35000, 38000, 42000
- Peak at 52000 (index 1)
- Trough at 35000 (index 3)
- Drawdown = (35000 − 52000) / 52000 = −32.69%
- Partial recovery to 42000 but still below previous peak
- Equity curve: 1000, 1050, 1100, 1080, 1150, 1200, 1250
- Running peak at 1100 (index 2)
- Minor trough at 1080 (index 3)
- Drawdown = (1080 − 1100) / 1100 = −1.82%
- New highs resume immediately after
Key Concepts
What is Maximum Drawdown?
Maximum drawdown (MDD) measures the largest peak-to-trough decline in portfolio value before a new peak is reached. It represents the worst loss an investor would have experienced if they bought at the peak and sold at the trough. It's one of the most important risk metrics for evaluating any trading strategy.
Why Drawdown Matters More Than Returns
A strategy returning 100% annually sounds great until you learn it had a 70% max drawdown. Most investors can't psychologically or financially survive a 70% loss. Drawdown tells you how painful a strategy is to hold, not just how profitable it is on paper.
Drawdown Recovery Math
Drawdowns are asymmetric: a 50% loss requires a 100% gain to recover. A 33% loss needs a 50% gain. A 75% loss needs a 300% gain. This asymmetry is why limiting drawdowns is mathematically more important than maximizing gains.
Drawdown Duration
The drawdown duration measures how long it takes to recover from the trough to a new peak. A 20% drawdown that recovers in 2 weeks is very different from one that takes 6 months. Duration adds a time dimension to risk analysis.
Calmar Ratio
The Calmar ratio divides the annualized return by the max drawdown. A strategy returning 30% with a 15% max drawdown has a Calmar of 2.0. Higher Calmar ratios indicate better return per unit of drawdown risk. A Calmar above 1.0 is considered acceptable.
Drawdown in Crypto Markets
Crypto markets are notorious for large drawdowns — Bitcoin has experienced 80%+ drawdowns in multiple bear cycles. Even well-managed crypto strategies routinely see 20–40% drawdowns. Understanding your strategy's max drawdown helps set realistic expectations and proper position sizing.
How to Calculate and Use Maximum Drawdown
Maximum drawdown is calculated by tracking the running peak of a portfolio's equity curve and measuring the percentage decline from each peak to the subsequent trough. The largest such decline over the entire period is the max drawdown. It provides a single number that captures the worst-case loss scenario.
To use this calculator, paste your equity values as a time series — these can be daily portfolio balances, cumulative PnL, or any sequential value series. The calculator identifies the peak, trough, and their positions in the series, giving you a clear picture of when and how badly the strategy drew down.
Combining max drawdown with the Sharpe ratio gives a more complete risk picture: Sharpe measures volatility-adjusted returns (penalizing both up and down moves), while drawdown specifically captures the worst downside scenario. A strategy with a high Sharpe but a large max drawdown may have occasional catastrophic losses hidden by otherwise smooth returns.
Frequently Asked Questions
What's an acceptable max drawdown for crypto?
It depends on your risk tolerance and time horizon. For active trading strategies, drawdowns under 20% are generally considered good, 20–40% is common, and above 50% is a red flag. For long-term holding, even 50%+ drawdowns have historically been temporary in Bitcoin, but they can last months or years.
Should I use portfolio values or returns?
This calculator uses absolute equity values (e.g., portfolio balance over time). If you have returns instead, convert them to a cumulative equity curve first: start with your initial balance and multiply by (1 + return) for each period.
How is drawdown different from volatility?
Volatility measures the dispersion of returns (both up and down), while drawdown specifically captures the worst peak-to-trough loss. A strategy can have low volatility but a large drawdown if it experiences a single sustained losing streak. Drawdown is more directly relevant to the investor's experience.
Can I use this for individual coin analysis?
Yes. Paste the historical price series of any coin to see its max drawdown. For example, Bitcoin's price from $69,000 (Nov 2021) to $15,500 (Nov 2022) represents a max drawdown of approximately −77.5%.