57. Mark Green is considering buying a new Honda Accord. The purchase price of the car is $21,000 but Mark has a trade-in worth $4500. Mark needs a loan to buy the car and knows that his local bank requires him to put down 10% of the purchase price after the value of the trade-in is considered. Mark also knows that bank will charge 8% for the loan and require monthly payments over the next 4 years. What is the size of Mark‟s monthly payments if he makes the minimum down payment on the car?

Note that , Mark's monthly payments will be approximately $335.89 if he makes the minimum down payment on the car.

Given

Loan amount - $14,850

Loan term - 48 months

Interest rate - 0.0067 per month(8   % annual rate divided by 12 months)

Using the formula for a fixed- rate loan,the monthly   payment (P) can be calculated as follows:

P =   (Loan Amount * Monthly Interest Rate) /(1 - (1 + Monthly Interest Rate)^(-Number of Months))

P = ($  14,850 * 0.0067) /(1 - (1 + 0.0067)^(-48))

computing we have

P = ($99.50) / (1 - (1.0067)^(-48))

P = ($99.50) / (1 - 0.7035)

P = ($99.50) / (0.2965)

P ≈ $335.89

Therefore, Mark's monthly payments will be approximately $335.89 if he makes the minimum down payment on the car.

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