Question

Emile bought a car for $27,000 three years ago. The loan had a 5 year term...

Emile bought a car for $27,000 three years ago. The loan had a 5 year term at 8% interest rate, and Emile has been making monthly payments for three years.

How much does he still owe on the car?

(Hint: first you will need to figure out the monthly payment on the 5 year loan.)

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Answer #1
Annual Interest rate 8%
Monthly interest rate (8/12) 0.67%
Loan amount 27000
Divide: Annuity PVF at 0.67% for 60 periods 49.31378
Monthly Instalment 547.5143
Loan tenure in months 60
Less: Loan repaid 36
Remaining tenure in months 24
Annuity factor at 0.67% for 24 periods 22.10965
Present value of Loan (547.51*22.10965) 12105.35
Loan outstanding after 3 years i.e. today: $ 12105.35
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