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Capital remaining to be repaid after n periods formula

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 Description of the Capital remaining to be repaid after n periods formula

Formula for the calculation of the capital remaining to be repaid on a loan after n periods

  Formula

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

 Symbols

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