Answer: $16,614.78
Step-by-step explanation:
As you are making a constant deposit every year beginning immediately, this is an Annuity due.
The value in 3 years will be:
= Amount deposited * (1 + i) * (( 1 + i) ^n - 1) / i
= 5,000 * (1 + 5.2%) * (( 1 + 5.2%)³ - 1) / 5.2%
= $16,614.78304
= $16,614.78