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Loss recovery maths

Internalise the asymmetry between a loss and the gain needed to undo it, which is the arithmetic behind every risk rule on this site.

About 1 min to an answer Free, no sign-up Runs in your browserRuns on your device
Read the lesson: Position sizing →
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Runs entirely in your browserRuns entirely on your device — nothing you type is sent anywhere. Educational only, and not investment advice.

How to use this calculator

Each step names a control you will find on screen above.

  1. Your position falls by

    Drag it from small to severe and watch the required recovery on the right.

  2. Note where the curve turns

    Up to about 20% the relationship feels roughly fair. Past 50% it goes vertical, and past 70% it becomes something most portfolios never come back from.

  3. Convert it into years

    At a 12% annual return, a 900% recovery takes about twenty years. That is the real cost of a 90% loss — two decades, not a percentage.

Worked example: The full curve

Drag the slider through each level and read the recovery required.

What to enter

Your position falls by
10% through 90%

What it shows you

−10%
+11.1% to recover
−20%
+25%
−33%
+50%
−50%
+100%
−70%
+233%
−90%
+900%

≈ 20 years at 12% a year

Where this is taught

A calculator gives you a number. These explain what the number means and when it misleads you.

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