Question

A $104,000 selling price with $24,000 down at 8 1/2 % for 25 years results in a monthly payment of

Answer 1

`\bf \qquad \qquad \textit{Amortized Loan Value} \\\\ pymt=P\left[ \cfrac{(r)/(n)}{1-\left( 1+ (r)/(n)\right)^(-nt)} \right]`


`\bf \qquad \begin{cases} P= \begin{array}{llll} \textit{original amount deposited}\\ \end{array}\to & \begin{array}{rllll} 104000\\ -24000\\ ----\\ 80000 \end{array}\\ pymt=\textit{periodic payments}\\ r=rate\to 8(1)/(2)\%\to (8(1)/(2))/(100)\to &0.085\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{payments are monthly} \end{array}\to &12\\ t=years\to &25 \end{cases}`



`\bf pymt=80000\left[ \cfrac{(0.085)/(12)}{1-\left( 1+ (0.085)/(12)\right)^(-12\cdot 25)} \right]`