Answer:
$10,020
Explanation:
The computation of the large amount that should be deposited is shown below:
Future value of annuity is
= Annuity × [(1+rate)^time period-1] ÷ rate
= Annuity × [(1.045)^45-1] ÷ 0.045
= Annuity × 138.8499651
Future value = Present value (1 +interest rate)^number of years
where
= $15,000 × (1.045)^45
Now
The total future value: is
$1,500,000 = $15,000 × (1.045)^45 + Annuity × 138.8499651
$1,500,000 = ($15,000 ×7.24824843) + Annuity × 138.8499651
Annuity = ($1,500,000 - $108,723.7264) ÷ 138.8499651
= $10,020
