In: Finance
Suppose that you just turned 25 years old and decide to put $5,750 into investments at the end of each year until age 60 (35 years from now). You have no savings. Your EAR is 4.7%. How much will you have by age 60?
Given that,
Annual investment PMT = $5750
time period of investment = 35 years
interest rate earned r = 4.7%
So, account value after 35 years can be calculated using FV formula of annuity:
FV = PMT*((1+r)^t - 1)/r = 5750*((1+0.047)^35 - 1)/0.047 = $488185.13
So, amount avaliable at the age of 60 is $488185.13