Question
Suppose you buy a new Toyota for $25,000. You obtain a 4-year amortized loan with equal annual payment beginning one year from today (i.e. first
Suppose you buy a new Toyota for $25,000. You obtain a 4-year amortized loan with equal annual payment beginning one year from today (i.e. first payment made one year from today). The quoted interest rate for the loan is 10%, compounded annually
How much will your annual payments be?
Please complete the attached amortization schedule
| Year 1 | Year 2 | Year 3 | Year 4 |
Beginning Balance
| $25,000 |
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Interest Paid
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Total Payment
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Principal Paid
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Ending Balance
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| $0 |
Assume your car will lose 30% of its market value the first year and further lose $4,000 each year thereafter (i.e. by the end of the first year, your used car can will be sold for $25,000 (1-30%) = $17,500 on the used car market; and will be sold for $17,500-$4,000=$13,500 on the used car market by the end of year 2; and so on). How much will your used car be worth by the end of year 3 and year 4? Please fill the used car value in the market value schedule.
| Year 1 | Year 2 | Year 3 | Year 4 |
Ending Car Value
| $17,500 | $13,500 |
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With auto loans, it is common for buyers to trade in their cars after the outstanding principal on the car loan exceeds the re-sale value of the used car. After which loan payment will it be profitable for you to trade-in your car? Why? (hint: the car should be sold if it can be sold for more than the balance owed to the dealer)
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