Find the amount of each payment to be made into a sinking fund earning 55​% compounded monthly to accumulate ​$42,000 over 77 years. Payments are made at the end of each period.

The payment size is $

Respuesta :

Answer:

[tex] $4.3643340396×10^{-14}[/tex]

Step-by-step explanation:

Formula of sinking fund  = [tex]P=\frac{A}{(1+\frac{r}{n})^{nt}-1}[/tex]

A = Accumulated amount = $42,000

t = time = 77 year

Since we are given that  fund earning 55​% compounded monthly to

n = no. of compounds = 12

Substitute the values in the formula :

[tex]P=\frac{42000 }{(1+\frac{55}{1200})^{77 \times 12}-1}[/tex]

[tex]P=\frac{42000 }{(1+\frac{55}{1200})^{924}-1}[/tex]

[tex]P=4.3643340396×10^{-14}[/tex]

Hence The payment size is[tex] $4.3643340396×10^{-14}[/tex]