Question

You have decided to purchase a new car. The price of the new car is $30...

You have decided to purchase a new car. The price of the new car is $30 000. This balance can be financed by an auto dealer at 2.9% APR (annual percentage rate) with payments of 48 months. (APR is compounded monthly, no market value for the car by the end of 4 years period).

  1. Calculate how much would be the monthly payment.
  2. Draw the cash flow diagram (from your point of view).
  3. Assume that the APR is 8.9%, monthly payment is $663 and period is 48 months. What would be the car price in this condition?

NOTE: Do not use Excel, use the formulas of PW or FW or AW if required.

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Answer #1

a)

The monthly payment is calculated as follows:-

Present value of the loan 1-(1 + interest rate) -nt interest rate

$30,000 PMT = 1-(1 + 0.029)** 0.029

Monthly payment = $ 662.70

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b) The red bars represent the monthly payment and the blue bar represent the cash inflow in the form of loan .

| 350 2567 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 16 17 1 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 33 37 # 39 40 41 42

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c)

The car price is calculated as follows

$663 = Present value of the car 1-(1+0089) 0.089 12 12

Price of the car = $26,693.42

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