Question

Murphy started putting $100/month into his 401(k) earning 6% APR when he was 22 years old. How much will be in his account when he retires at age 62, if interest is compounded monthly?

Answer 1

$199,149.08

Step-by-step explanation:

a = 100, i=0.06/12=0.005, n=40*12=480, FVA = Future value of annuity

FVA = A*[(1+i)^n - 1/ i]

FVA = 100 * [(1+0.005)^480 - 1 / 0.005]

FVA = 100 * [9.957454/ 0.005]

FVA = 100 * 1991.4908

FVA = $199,149.08

So, the amount that will be in his account when he retires at age 62 is $199,149.08.