# Loan Amortization Calculator

## Calculates a table of the loan amortization using the principal-and-interest and principal equal repayments.

 Equal repayment of principal-and-interest principal Interest rate % (r) annually monthly Loan term years (n) Repayment frequency (k) annually semiannually quarterly monthly Principal (P)
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 $\normal Loan\ amortization\\[10]1.\ equal\ repayment\ of\\\hspace{80} principal-and-interest\\(1)\ PMT=P\times{\large\frac{\large\frac{r}{k}}{1-(1+{\large\frac{r}{k}})^{-nk}}}\hspace{20}if\ r\neq 0\\\hspace{25}PMT=P\times{\large\frac{1}{nk}}\hspace{90}if\ r=0\\(2)\ FV_j=P\times(1+{\large\frac{r}{k}})^j-PMT\times\frac{(1+{\large\frac{r}{k}})^j-1}{r/k}\\\hspace{120} j:\ number\ of\ periods\\\vspace{20}\\2.\ equal\ repayment\ of\ principal\\(1)\ \ PMT_j=P\times{\large\frac{1+(nk-j+1)r}{nk}}\\(2)\ FV_j=P\times(1-{\large\frac{j}{nk}})\\\hspace{120} j:\ number\ of\ periods\\$

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