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Compound Interest Calculation (Interest Rate)

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Calculates the nominal and effective annual interest rates using compound interest.
Principal
(PV)
Total Principal and Interest
(FV)
Number of Years Elapsed
(n)
Compounding Period
Nominal Annual Interest Rate %(r)
Effective Annual Interest Rate %(R)
Compound Interest Formula
 r: Nominal interest rate, R: Effective interest rate, k: Number of times interest accrues per year
\(\normalsize (1)\ r=k\times\{({\large\frac{FV}{PV}})^{\normalsize \frac{1}{nk}}-1\}\\ (2)\ R=({\large\frac{FV}{PV}})^{\normalsize\frac{1}{n}}-1\\ \)


Calculation details and rounding rules may vary by financial institution.
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Compound Interest Calculation (Interest Rate) | Keisan