Suppose you borrowed $13,230 at a rate of 15.0% and must repay it in 4 equal installments at the end of each of the next 4 years. How large would your payments be?
Group of answer choices
$4,083.69
$4,173.68
$3,905.87
$3,994.41
$3,818.07
Annual loan payment
Loan amount (P) = $13,230
Annual interest rate (r) = 15.00% per year
Loan period (n) = 4 Years
The Annual Loan Payment = [P x {r (1+r) n}] / (1+r) n – 1
= [$13,230 x {0.15 x (1 + 0.15)4}] / [(1 + 0.15)4 – 1]
= [$13,230 x {0.15 x 1.74900625}] / [1.74900625 – 1]
= [$13,230 x 0.262350938] / 0.74900625
= $3,470.90 / 0.74900625
= $4,634.01
The annual payment is $4,634.01, but the answer is not given in the choices
Therefore, the Annual payment for the Loan is $4,634.01
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