Question

In: Finance

Show work (excel if possible but show formulas you used in excel): If I buy a...

Show work (excel if possible but show formulas you used in excel):

If I buy a new car and pay $399 a month for 5 years and the maintenance costs are $50 the first year and increase by $200 a year for each year after that, how much money would I have to barrow today at a nominal interest rate of 9% to cover my monthly payment and my yearly maintenance bill?

Solutions

Expert Solution

Amount to borrow today =

$20,837.87

step 1: Value of monthly payments

Monthly payment 399
Number of months 60
Rate 9%
Present value of monthly payments $19,221.18

Step 2: PV of maintenance expenses assuming end of year payments.

Maintenance
Year Expense
1 50
2 250
3 450
4 650
5 850
PV of maintenance $1,616.69

WORKINGS


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