Find the amount of each payment R for a t= 18 year loan with principal P = $18,000 and interest rate r = 9% compounded monthly. Round your final answer to two decimal places.

Respuesta :

The amount of each payment to 2 decimal places = $90406.80

Explanation:

t = 18 year

Principal = P = $18,000

r = 9% 0.09

Using compound interest formula:

[tex]FV\text{ = P(1 + }\frac{r}{n})^{nt}[/tex]

n = number of times it was compounded in a year.

since it is monthly, n = 12

[tex]\begin{gathered} FV\text{ =future value} \\ FV\text{ = 18000(1+ }\frac{0.09}{12})^{12\times18} \end{gathered}[/tex][tex]\begin{gathered} FV=18000(1+0.0075)^{216} \\ FV\text{ = }18000(1.0075)^{216} \\ FV\text{ = 18000}\times5.0226 \\ FV\text{ = 90406.8} \end{gathered}[/tex]

The amount of each payment to 2 decimal places = $90406.80