The precise formula for calculating the exact doubling time for an investment earning a compounded interest rate of r% per period is as follows:
"T=\\frac{ln2}{ln(1+\\frac{r}{100})}\u2248\\frac{72}{r}"
where: T=Time to double;
ln=Natural log function;
r=interest rate per period
≈Approximately equal to
"9=\\frac{72}{r}"
"r=\\frac{72}{9}=8%"
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