Answer:
$4,953
Explanation:
Given by the question, we have:
+) Present value of annuity = $17,400
+) Return on the investment = annual interest rate on the loan = 9.4%
The type of this annuity is annuity due.
We have the equation to calculate the present value of annuity due as following:
PV Annuity Due = P × [1 - (1 + r)^(-N)]/r × (1+r)
=> P = PV Annuity Due ÷ {[1 - (1 + r)^(-N)]/r × (1+r)}
In which:
+) P: Annual payment
+) r: annual interest rate = 9.4% = 0.094
+) N: Number of payments = 4 (As the loan is repaid in 4 payments)
+) PV Annuity Due = 17,400
=> P = 17,400 ÷ {[1 - (1 + 0.094)^(-4)]/0.094 × (1+0.094)} ≈ $4,953
