how much must be deposited at the beginning of every 2 months in an account that pays 7% compounded every 2 months,so that the account will contain 20000.00 at the end of 2 years?

Respuesta :

$17,415.08

1) Since in this question we have:

Present Value: ?

Future Value: $20000

rate: 7% compounded every two months

Period: 2 years

2) Let's plug that information in the formula for Compounded Interest, considering that 7% every two months is 0.07 for 6 months.

[tex]\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ 20,000=P(1+\frac{0.07}{6})^{6\cdot2} \\ 20,000=P(1+0.0116)^{12} \\ 20,000=P(1.0116)^{12} \\ 20,000=1.14843P \\ P\approx17415.08 \end{gathered}[/tex]

3) So rounding off to the nearest tenth the present value to be invested is $17,415.08