DarcieMATHlin6217
02.02.2021 •
Business
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
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Ответ:
FV= $904,322.05
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
Ответ: