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Investing

Exact doubling time

The precise time to double from the compound growth equation.

The Formula

Years = ln(2) / ln(1 + rate)

The precise time to double from the compound growth equation.

SymbolMeaning
ln2Natural log of two

What Each Symbol Means

ln2number

Natural log of two

Constant approximately 0.693.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate the rule of 72 page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate The Rule Of 72, filed under Finance. Every number the guide produces comes from substituting into this one line.