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29 June, 08:52

A vehicle is purchased for $18,000, with a down payment of $6,098. The balance in financed for three years at an annual rate of 7%. Find the monthly car payment.

$367.50

$834.12

$188.29

$555.79

+1
Answers (1)
  1. 29 June, 09:57
    0
    The Present value of an annuity is given by PV = P (1 - (1 + r/t) ^-nt) / (r/t)

    where: P is the monthly payment, r is the annual rate = 7% = 0.07, t is the number of periods in one year = 12 and n is the number of years = 3.

    18,000 - 6,098 = P (1 - (1 + 0.07/12) ^ - (3 x 12)) / (0.07/12)

    11,902 = P (1 - (1 + 0.07/12) ^-36) / (0.07/12)

    P = 0.07 (11,902) / 12 (1 - (1 + 0.07/12) ^-36) = 367.50

    Therefore, monthly payment = $367.50
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