In: Finance
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
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 | |||||||||||