Question

In: Finance

You are considering buying a new car. The sticker price is $85,000 and you have $25,000...

You are considering buying a new car. The sticker price is $85,000 and you have $25,000 to put toward a down payment. If you can negotiate a nominal annual interest rate of 6.5 percent and you wish to pay for the car over a 5 year period, what are your monthly car payments? DO NOT USE EXCEL

Solutions

Expert Solution

Monthly Car payment $ 1,173.98
Working;
# 1 Price $       85,000
Less down payment $       25,000
Loan amount $       60,000
# 2 Present value of annuity of 1 = (1-(1+i)^-n)/i Where,
= (1-(1+0.005417)^-60)/0.005417 i 6.5%/12 = 0.005417
= 51.1081902 n 5*12 = 60
# 3 Monthly Car payment = Loan amount / Present value of annuity of 1
= $       60,000 / 51.10819
= $   1,173.98

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