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Annual compound interest rate equivalent to a periodical compound interest rate formula

Description of the Annual compound interest rate equivalent to a periodical compound interest rate formula

Formula for the calculation of an annual compound interest rate which is equivalent to a periodical compound interest rate.

Formula

\[ r_{a}=\left (1 + r_{m}\right )^{m}-1 \ \]

Symbols

\(m\ \)       
Number of discount periods per year
\(r_{m}\ \)       
Periodic interest rate for a period of 1/m years