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keisanHigh-precision calculations for everyday life and work

Compound Interest Calculation (Years Elapsed)

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Calculates the number of years elapsed using compound interest.
Annual Interest Rate
%
Principal
(PV)
Total Principal and Interest
(FV)
Compound Interest Period
Years Elapsed (n)
Compound Interest Formula
r: Nominal interest rate, R: Effective interest rate, k: Number of interest accrual periods per year
\(\normalsize (1)\ n={\large\frac{\log({\large\frac{FV}{PV}})}{k\times \log(1+{\large\frac{r}{k})}}}\\ (2)\ n={\large\frac{\log({\large\frac{FV}{PV}})}{\log(1+R)}}\\ \)


Calculation details and rounding rules may vary by financial institution.
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