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Calculation of the capital repaid after n periods formula

Description of the Calculation of the capital repaid after n periods formula

Formula for the calculation of the capital repaid on a loan after \( n \) periods

Formula

\[ R = C\frac{\left(1+i \right)^n-1}{\left(1+i \right )^N-1} \ \]

Symbols

\(C\ \)       
Start capital
\(i\ \)       
Proportional periodic interest rate
\(N\ \)       
Total number of annuities (number of years times number of payments per year)
\(n\ \)       
Number of periods