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Calculation of the capital repaid after n periods formula

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 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