In: Finance
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?
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