Question

James would like to deposit enough money in a savings account to have $8,000 at the end of year 3. Assuming the investment will earn 5% compounded annually, what amount should James deposit in the savings account today

Answer 1

$6910.70

Step-by-step explanation:

At the end of each year, the account balance will be 1.05 times the value at the beginning of the year. Thus, at the end of year 3, the value is 1.05^3 times the original value.

$8000 = (deposit)×1.05^3

deposit = $8000/1.05^3 ≈ $6910.70

James should deposit $6910.70 today.