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Drawdown recovery

Why does recovery need more than the loss rate?

Losses and recovery returns are not symmetric. Here is the math.

After a 50% loss, only half of the principal remains. To return to the original amount, the remaining half must double, so the required recovery return is 100%.

3 min read

Loss and recovery are asymmetric

If 1,000,000 falls by 50%, 500,000 remains. A 50% return from 500,000 only reaches 750,000.

To get back to 1,000,000, the remaining 500,000 must gain another 500,000. That is a 100% return from the reduced base.

Deeper losses require rapidly larger gains

A 10% loss needs about 11.11% to recover, while an 80% loss needs 400%.

The smaller the remaining base, the larger the required return becomes.

What recovery duration means

ReturnLab estimates how many days it would take for the remaining amount to recover if a constant daily return repeats.

This is a risk-management lens. It shows why avoiding deep drawdowns matters.