Question

Derek will deposit $9,359.00 per year for 18.00 years into an account that earns 4.00%, The first deposit is made next year. He has $18,418.00 in his account today. How much will be in the account 49.00 years from today

Answer 1

FV= $904,322.05

Step-by-step explanation:

First, we will calculate the future value of the 18 deposits 19 years from now. Also the value of the $18,418 19 years from now.

FV= {A*[(1+i)^n-1]}/i

A= annual deposit= 9,359

n= 18

i= 0.04

FV= {9,359*[(1.04^18) - 1]} / 0.04

FV= $240,015.42

FV= PV*(1+i)^n

FV= 18,418*(1.04^19)

FV= $38,803.95

Total FV= 240,015.42 + 38,803.95= $278,819.37

Finally, the value of the account for the remaining 30 years:

FV= 278,819.37*(1.04^30)

FV= $904,322.05