Trading risk · Guide
How to Calculate Stock Drawdown and Recovery
Learn how to calculate stock drawdown, maximum drawdown, and the percentage gain required to recover from a loss, with formulas, examples, and practical portfolio applications.
A stock falls 30%.
How much does it need to rise to get back to where it started?
Not 30%.
It needs to rise about:
42.9%
That surprises many investors because percentage losses and percentage gains are measured from different starting points.
A 30% decline from $100 takes the stock to:
$70
To get from $70 back to $100:
($100 − $70) ÷ $70 × 100 = 42.86%
This asymmetry is the foundation of drawdown math.
The deeper the loss, the larger the recovery gain required.
That makes drawdown one of the most important concepts in portfolio risk.
What Is a Drawdown?
A drawdown measures the decline from a previous peak.
The basic formula is:
Drawdown % = (Current value − Peak value) ÷ Peak value × 100
Because the current value is below the peak, the result is negative.
Example:
Peak price: $100 Current price: $80
Then:
Drawdown = ($80 − $100) ÷ $100 × 100 = -20%
The stock is in a 20% drawdown from its prior peak.
You can also express the same result as a positive loss magnitude:
Drawdown magnitude = (Peak − Current) ÷ Peak × 100
which gives:
20%
Both conventions are common.
The important thing is to stay consistent.
What Is Maximum Drawdown?
Maximum drawdown, often abbreviated MDD, measures the largest peak-to-trough decline over a period.
Suppose a stock moves like this:
$100 → $120 → $95 → $130 → $80 → $110
There are multiple declines.
From $120 to $95:
($95 − $120) ÷ $120 = -20.83%
From $130 to $80:
($80 − $130) ÷ $130 = -38.46%
So the maximum drawdown is:
-38.46%
The key rule is:
Measure from each new peak to the lowest trough that follows before a new higher peak is made.
Maximum drawdown is useful because it shows the worst historical capital loss an investor would have experienced during the period.
Drawdown Formula
For a single peak and current value:
Drawdown % = (Current − Peak) ÷ Peak × 100
Or:
Drawdown % = -(Peak − Current) ÷ Peak × 100
Example:
Peak: $250 Current: $175
Then:
Drawdown = ($175 − $250) ÷ $250 × 100 = -30%
The position is 30% below its peak.
How Much Does a Stock Need to Gain to Recover?
The recovery formula is:
Required gain % = (Peak − Current) ÷ Current × 100
Using the previous example:
Peak: $250 Current: $175
Required gain:
($250 − $175) ÷ $175 × 100 = 42.86%
So a 30% drawdown requires a 42.86% gain to recover.
Why a 30% Loss Needs a 42.9% Gain
The denominator changes.
The loss is measured from the old, larger value:
$100 → $70
Loss:
$30 ÷ $100 = 30%
The recovery is measured from the new, smaller value:
$70 → $100
Gain:
$30 ÷ $70 ≈ 42.86%
The dollar amount is the same:
$30
The percentage is different because the starting base is different.
This becomes more extreme as the drawdown deepens.
Recovery Gain by Drawdown Size
| Drawdown | Value After Loss From $100 | Gain Needed to Recover |
|---|---|---|
| 5% | $95 | 5.26% |
| 10% | $90 | 11.11% |
| 20% | $80 | 25.00% |
| 30% | $70 | 42.86% |
| 40% | $60 | 66.67% |
| 50% | $50 | 100.00% |
| 60% | $40 | 150.00% |
| 70% | $30 | 233.33% |
| 80% | $20 | 400.00% |
| 90% | $10 | 900.00% |
The relationship is nonlinear.
A 50% loss requires a 100% gain.
An 80% loss requires a 400% gain.
A 90% loss requires a 900% gain.
This is why avoiding very deep drawdowns matters so much.
A General Recovery Formula
If drawdown is expressed as a decimal:
d
then the required recovery gain is:
Recovery gain = d ÷ (1 − d)
Example:
Drawdown: 30% = 0.30
Then:
0.30 ÷ (1 − 0.30) = 0.30 ÷ 0.70 = 0.4286
or:
42.86%
This formula is useful when building calculators or spreadsheets.
Drawdown vs Loss From Your Purchase Price
These are not always the same thing.
Suppose a stock:
Peak: $120 Your purchase price: $100 Current price: $80
The stock's drawdown from peak is:
($80 − $120) ÷ $120 = -33.33%
Your personal unrealized loss is:
($80 − $100) ÷ $100 = -20%
Those numbers answer different questions.
Drawdown From Peak
Measures how far the asset has fallen from its previous high.
Loss From Cost Basis
Measures how far the asset has fallen from your own purchase price.
Do not use them interchangeably.
Drawdown vs Average Cost
Suppose you average down.
You originally bought:
10 shares at $100
Then buy:
10 more shares at $70
New average cost:
$85
If the stock remains at:
$70
your loss relative to average cost is:
($70 − $85) ÷ $85 ≈ -17.65%
The stock's drawdown from a previous market peak may be much larger.
This is why:
Market drawdown
and:
Your position drawdown
should be tracked separately.
For average-cost mechanics, see How to Calculate Average Cost After Buying More Shares.
Portfolio Drawdown
The same math applies to an entire portfolio.
Suppose your portfolio reaches:
$200,000
and later falls to:
$170,000
Drawdown:
($170,000 − $200,000) ÷ $200,000 × 100 = -15%
To recover:
($200,000 − $170,000) ÷ $170,000 × 100 ≈ 17.65%
This is why portfolio risk management often focuses more on limiting large drawdowns than maximizing every possible upside move.
Why Large Drawdowns Are Hard to Recover From
The mathematics is only one part of the problem.
Large drawdowns also create practical difficulties.
1. More Return Is Required
A 50% loss requires a 100% gain.
2. Recovery Can Take Years
Even a strong asset can spend a long time below its prior peak.
3. Investor Behavior Often Worsens
Large losses can lead to:
- panic selling;
- oversized averaging down;
- abandoning a strategy at the worst time;
- chasing risk to recover faster.
4. Capital Is Tied Up
Money trapped in a long recovery period cannot easily be reallocated without realizing a loss.
5. Deep Drawdowns Can Change the Thesis
Sometimes the decline reflects a real deterioration in:
- revenue;
- margins;
- balance sheet;
- competitive position;
- industry structure.
A drawdown is not automatically a buying opportunity.
Recovery Time Matters as Much as Recovery Percentage
Two investments can both recover to their prior peak.
But the path matters.
Investment A
Drawdown: -30% Recovery time: 3 months
Investment B
Drawdown: -30% Recovery time: 4 years
The maximum drawdown is the same.
The investor experience is not.
A useful drawdown analysis can therefore track:
Depth + Duration
Depth answers:
How much was lost from peak to trough?
Duration answers:
How long did the investment remain below its prior peak?
What Is Drawdown Duration?
Drawdown duration measures the time between a previous peak and full recovery to that peak.
Suppose:
Peak: January 1 Trough: March 1 Recovery to prior peak: August 1
Then:
Peak-to-recovery duration: 7 months
You can also separately track:
Peak-to-trough duration
and:
Trough-to-recovery duration
This helps distinguish fast crashes from slow declines.
Example: Fast Crash, Fast Recovery
Suppose:
January: $100 February: $70 April: $100
Drawdown:
-30%
Recovery gain from trough:
+42.86%
Total drawdown duration:
About 3 months
Example: Same Drawdown, Slow Recovery
Now suppose:
January 2022: $100 June 2022: $70 January 2025: $100
Same maximum drawdown:
-30%
Same required recovery gain:
+42.86%
But the capital spent years underwater.
The practical risk was much larger.
Why Drawdown Matters More Than Volatility for Some Investors
Volatility measures how much prices fluctuate.
Drawdown measures actual loss from a prior peak.
A stock can be highly volatile but repeatedly recover quickly.
Another stock can decline slowly for years with lower day-to-day volatility.
For an investor, the second experience may be more damaging.
That is why:
Volatility
and:
Drawdown
measure different kinds of risk.
Drawdown and Position Size
A large position makes a stock-level drawdown more damaging to the total portfolio.
Suppose:
Portfolio A
Stock weight: 5% Stock drawdown: -40%
Approximate portfolio impact:
5% × 40% = 2%
Portfolio B
Stock weight: 30% Stock drawdown: -40%
Approximate portfolio impact:
30% × 40% = 12%
Same stock.
Same decline.
Very different portfolio outcome.
This is why drawdown should be considered together with position size.
For position sizing, see How Many Shares Should I Buy?.
Drawdown and Concentration
A portfolio can suffer a large drawdown even if each individual holding looks reasonable.
For example, several technology stocks may all fall at the same time because they share the same:
- interest-rate exposure;
- AI spending cycle;
- semiconductor cycle;
- growth-factor exposure;
- market sentiment.
This is why portfolio concentration matters.
Multiple tickers do not always mean multiple independent risks.
Drawdown and Leverage
Leverage makes recovery math more dangerous.
Suppose an unlevered portfolio falls:
-20%
Recovery required:
+25%
A leveraged strategy may experience a much larger equity drawdown from the same underlying market move.
The deeper the equity drawdown, the more difficult recovery becomes.
Leverage can also create:
- margin calls;
- forced liquidation;
- financing costs.
So a theoretical recovery path may not remain available in practice.
A 50% Drawdown Is More Than “Halfway Down”
The arithmetic consequence is severe.
From:
$100 → $50
the portfolio has lost 50%.
To return:
$50 → $100
it must double.
That is:
+100%
A further decline from $50 to $40 may look like only another $10.
But from the original $100 peak:
$40
represents:
-60%
Now the required gain is:
+150%
Deep drawdowns accelerate the difficulty of recovery.
Why “It Is Down 70%, So It Cannot Fall Much More” Is Wrong
Suppose a stock falls:
$100 → $30
That is:
-70%
An investor may think most of the downside is already gone.
But if the stock falls from:
$30 → $15
that is another:
-50%
loss from the new starting point.
The stock is now:
-85%
from its original peak.
Percentage losses compound from the current level, not the original one.
There is no mathematical rule that says a deeply fallen stock cannot lose much more.
Drawdown Is Not a Buy Signal
A stock trading:
-50%
from its peak is not automatically cheap.
The peak may have been:
- overvalued;
- based on unrealistic growth expectations;
- supported by temporary margins;
- driven by speculation.
Or the business may have deteriorated.
The right question is not:
How far is it down?
It is:
What is the business worth now, and what changed since the peak?
Drawdown is a risk and path metric.
It is not a valuation model.
Drawdown After Earnings
Earnings can create sudden drawdowns.
Suppose:
Pre-earnings stock price: $100 Post-earnings open: $82
Immediate gap:
-18%
To recover from $82 to $100:
($100 − $82) ÷ $82 ≈ 21.95%
That is why a large earnings gap can materially change the recovery path even if the company remains fundamentally sound.
For understanding why a stock can fall despite a headline earnings beat, see Why Can a Stock Fall After Beating Earnings?.
A Practical Drawdown Review
When a stock or portfolio falls sharply, use this sequence.
1. Identify the Relevant Peak
Do you care about:
All-time high 52-week high Recent swing high Portfolio high-water mark
Use the peak relevant to the question.
2. Calculate Current Drawdown
(Current − Peak) ÷ Peak
3. Calculate Recovery Required
(Peak − Current) ÷ Current
4. Separate Market Drawdown From Your Cost Basis
Your personal loss may differ from the asset's drawdown.
5. Review Position Size
How much does this position contribute to portfolio drawdown?
6. Review the Thesis
Did the business change, or only the price?
7. Review Time Horizon
Can the position realistically recover within your investment horizon?
8. Compare With Historical Drawdowns
Is the current decline ordinary for this asset or unusually deep?
Worked Example: Stock Drawdown
Suppose:
Previous high: $180 Current price: $126
Drawdown:
($126 − $180) ÷ $180 × 100 = -30%
Recovery required:
($180 − $126) ÷ $126 × 100 ≈ 42.86%
Now suppose your cost basis is:
$150
Your personal loss is:
($126 − $150) ÷ $150 × 100 = -16%
Your recovery to break even is:
($150 − $126) ÷ $126 × 100 ≈ 19.05%
So the stock needs:
+42.86%
to return to its old peak,
but only:
+19.05%
to return to your cost basis.
Those are different objectives.
Worked Example: Portfolio Drawdown
Suppose a portfolio goes:
$500,000 → $425,000
Drawdown:
($425,000 − $500,000) ÷ $500,000 = -15%
Recovery required:
($500,000 − $425,000) ÷ $425,000 ≈ 17.65%
Now suppose the portfolio later falls to:
$350,000
Drawdown becomes:
-30%
Recovery required becomes:
+42.86%
The deeper decline dramatically raises the return hurdle.
Drawdown Recovery Table
| Drawdown | Recovery Required |
|---|---|
| 5% | 5.26% |
| 10% | 11.11% |
| 15% | 17.65% |
| 20% | 25.00% |
| 25% | 33.33% |
| 30% | 42.86% |
| 35% | 53.85% |
| 40% | 66.67% |
| 50% | 100.00% |
| 60% | 150.00% |
| 70% | 233.33% |
| 80% | 400.00% |
| 90% | 900.00% |
This table is worth remembering.
The relationship becomes increasingly unforgiving as losses deepen.
Common Drawdown Mistakes
Mistake 1: Assuming Loss and Recovery Percentages Are Symmetric
They are not.
Mistake 2: Mixing Peak Drawdown With Cost-Basis Loss
They answer different questions.
Mistake 3: Ignoring Drawdown Duration
A fast recovery and a multi-year recovery are very different experiences.
Mistake 4: Treating a Large Drawdown as Proof of Cheapness
Price decline is not valuation.
Mistake 5: Ignoring Position Size
A 40% decline in a 2% position is very different from a 40% decline in a 30% position.
Mistake 6: Ignoring Correlation
Several positions can draw down together.
Mistake 7: Assuming a Deeply Fallen Stock Cannot Fall Much More
It can.
Mistake 8: Averaging Down Only to Improve the Displayed Cost Basis
A lower average cost does not erase the underlying loss or business risk.
Frequently Asked Questions
How do I calculate stock drawdown?
Use:
Drawdown % = (Current price − Peak price) ÷ Peak price × 100
What is maximum drawdown?
Maximum drawdown is the largest peak-to-trough decline over a chosen period.
How much does a stock need to gain after a 20% loss?
A 20% loss requires a 25% gain to recover.
How much does a stock need to gain after a 30% loss?
About 42.86%.
Why does a 50% loss require a 100% gain?
Because after a 50% loss, the remaining capital is only half the original amount. Doubling that amount is required to return to the starting value.
Is drawdown the same as my unrealized loss?
Not necessarily.
Drawdown is usually measured from a market peak. Your unrealized loss is measured from your own cost basis.
Is a stock down 70% less risky because it already fell so much?
No.
A stock at $30 can still fall to $15, which is another 50% loss from the new level.
Does a large drawdown mean a stock is cheap?
No.
Drawdown measures price decline, not intrinsic value.
Why should investors track portfolio drawdown?
It helps quantify how much capital has been lost from a previous high and how much return is required to recover.
The Key Idea
The core drawdown formula is:
Drawdown % = (Current − Peak) ÷ Peak
The recovery formula is:
Required gain % = (Peak − Current) ÷ Current
The deeper the drawdown, the more asymmetric the recovery becomes.
That is why:
Avoiding catastrophic losses
can matter just as much as:
Finding high-return opportunities
A 20% drawdown is recoverable with a 25% gain.
A 50% drawdown requires 100%.
An 80% drawdown requires 400%.
The math becomes increasingly unforgiving.
Keep learning