Question

Future Value of Multiple Annuities Assume that you contribute $150 per month to a retirement plan for 20 years. Then you are able to increase the contribution to $350 per month for another 20 years. Given an 8 percent interest rate, what is the value of your retirement plan after 40 years

Answer 1

$641,455.26

Step-by-step explanation:

Calculation to determine the value of your retirement plan after 40 years

First step is to determine FV Using financial calculator

N = 40*12 = 480

I = 8%/12 = .6667

PV = 0,

PMT = $150

CPT FV =$523,651.17

N = 20*12 = 240

I = 8%/12 = .6667

PV = 0

PMT = $200 ($350 - $150)

CPT FV =$117,804.08

Now let determine the value of your retirement plan after 40 years

Sum of FV =$523,651.17+$117,804.08

Sum of FV =$641,455.26

Therefore the value of your retirement plan after 40 years will be $641,455.26