Question

you need to have $32000 in 7 years. you can earn an annual interest rate of 3 percent for the first 4 years, and 3.6 percent for the next 3 years. How much do you have to deposit today?

Answer 1

Answer:

$22,569.48 is amount i must have to deposit today

Explanation:

FV = Future Value , PV = Present Value , r = rate of interest , n= no of period

PV = FV / (1 + r )n

PV = 32000 / (1 + 3%)^4*(1+3.6%)^3

PV= $32,000/ (1 + 0.03)^4*(1+0.036%)^3

PV= $32,000/ (1.03)^4*(1.036%)^3

PV= $32,000/ (1.03)^4*(1.036)^3

PV= $32,000/ 1.12550881 * 1.111934656

PV= $32,000/ 1.251492251

PV = $22,569.47514

PV = $22,569.48

$22,569.48 is amount i must have to deposit today