Answer:
$50,258.
Explanation:
According to the scenario, computation of the given data are as follow:-
We can calculate the deposit amount at the end of 15 years by using following formula:-
Deposit Amount per year(PMT) = $2,000
Interest rate = 7% = 0.07
Deposit year (n) = 15 years
Future value(FVIFA) = PMT × [{(1 + interest rate)^number of years - 1} ÷ interest rate]
= $2,000 × [{(1 + 0.07)^15 - 1} ÷ 0.07]
= $2,000 × [{2.7590315 - 1} ÷ 0.07]
= $2,000 × [1.7590315/0.07]
= $2,000 × 25.129022
= $50,258
According to the analysis total deposit at the end of the year is $50,258.