Answer to Question #182650 in Financial Math for PK NDINI

Question

Buhle wants to save R330 284,00 within the next four years. She makes equal monthly deposits at the end of each month starting after one month and her savings accumulate interest at 12,5% per annum, compounded monthly. The size of each of the monthly deposits is

Answer 1

$FV A=A×(\frac{(1+\frac{r}{m)}^{m×n}-1}{\frac{r}{m}})$

future value(Fv) = R330 284,00

Interest rate(r)=12.5%

m=12 (monthly compounding)

Time(n )= 4 years

let the size of monthly payment = A,

$330 284,00=A×\frac{(1+\frac{0.125}{12})^{12×4}-1}{\frac{0.125}{12}}$

$33028400=A×(\frac{1.0104167^{48}-1}{0.0104167})$

$33028400=A×61.87$

$A=\frac{330 284,00}{61.87}$

$533849$