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Loss and recovery calculator

See the gain it would take to make back a loss, and how long a steady yearly return would take to get there.

Example rate, not a forecast.

The result

After a 20% loss, the investment would need a gain of 25.00% to get back to where it started.

At 7% a year, that would take about 3.3 years.

How it is worked out

G = L ÷ (1 − L); T = ln[1 ÷ (1 − L)] ÷ ln(1 + r)

G
the gain needed, as a decimal
L
the loss as a decimal (20% is 0.2)
T
the years to recover
r
the yearly rate as a decimal
ln
the natural logarithm

A loss is a share of a larger amount than the gain that follows it, so the gain needed is always bigger than the loss.

Illustration, not a forecast. Not investment advice.