##### Mortgage calculator formula
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Mortgage calculator.
$\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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Formula to calculate mortgage payments | lovetoknow.