Suppose you take out a five-year car loan for $12000, paying an annual interest rate of 3%. You make monthly payments of $216 for this loan. mocars Getting started (month 0): Here is how the process works. When you buy the car, right at month 0, you owe the full $12000. Applying the 3% interest to this (3% is "3 per $100" or "0.03 per $1"), you would owe 0.03*$12000 = $360 for the year. Since this is a monthly loan, we divide this by 12 to find the interest payment of $30 for the month. You pay $216 for the month, so $30 of your payment goes toward interest (and is never seen again...), and (216-30) = $186 pays down your loan. (Month 1): You just paid down $186 off your loan, so you now owe $11814 for the car. Using a similar process, you would owe 0.03* $11814 = $354.42 for the year, so (dividing by 12), you owe $29.54 in interest for the month. This means that of your $216 monthly payment, $29.54 goes toward interest and $186.46 pays down your loan. The values from above are included in the table. Continue the process for the rest of the first year of the loan. Months Amount still owed Amount of monthly payment that goes Monthly interest paid toward paying off the loan (after paying 0 12000 1 11814 30 29.54 2 11627.54 3 4 5 6 7 8 9 10 11 12 interest) 186 186.46 What is the total amount paid in interest over this first year of the loan?
Suppose you take out a five-year car loan for $12000, paying an annual interest rate of 3%. You make monthly payments of $216 for this loan. mocars Getting started (month 0): Here is how the process works. When you buy the car, right at month 0, you owe the full $12000. Applying the 3% interest to this (3% is "3 per $100" or "0.03 per $1"), you would owe 0.03*$12000 = $360 for the year. Since this is a monthly loan, we divide this by 12 to find the interest payment of $30 for the month. You pay $216 for the month, so $30 of your payment goes toward interest (and is never seen again...), and (216-30) = $186 pays down your loan. (Month 1): You just paid down $186 off your loan, so you now owe $11814 for the car. Using a similar process, you would owe 0.03* $11814 = $354.42 for the year, so (dividing by 12), you owe $29.54 in interest for the month. This means that of your $216 monthly payment, $29.54 goes toward interest and $186.46 pays down your loan. The values from above are included in the table. Continue the process for the rest of the first year of the loan. Months Amount still owed Amount of monthly payment that goes Monthly interest paid toward paying off the loan (after paying 0 12000 1 11814 30 29.54 2 11627.54 3 4 5 6 7 8 9 10 11 12 interest) 186 186.46 What is the total amount paid in interest over this first year of the loan?
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
Related questions
Question
Transcribed Image Text:Suppose you take out a five-year car loan
for $12000, paying an annual interest rate
of 3%. You make monthly payments of $216
for this loan.
mocars
Getting started (month 0): Here is how the process works. When you buy the car, right at month 0, you owe
the full $12000. Applying the 3% interest to this (3% is "3 per $100" or "0.03 per $1"), you would owe
0.03*$12000 = $360 for the year. Since this is a monthly loan, we divide this by 12 to find the interest
payment of $30 for the month. You pay $216 for the month, so $30 of your payment goes toward interest
(and is never seen again...), and (216-30) = $186 pays down your loan.
(Month 1): You just paid down $186 off your loan, so you now owe $11814 for the car. Using a similar
process, you would owe 0.03* $11814 = $354.42 for the year, so (dividing by 12), you owe $29.54 in interest
for the month. This means that of your $216 monthly payment, $29.54 goes toward interest and $186.46
pays down your loan.
The values from above are included in the table. Continue the process for the rest of the first year of
the loan.
Months
Amount still owed
Amount of monthly
payment that goes
Monthly interest paid toward paying off the
loan (after paying
0
12000
1
11814
30
29.54
2
11627.54
3
4
5
6
7
8
9
10
11
12
interest)
186
186.46
What is the total amount paid in interest over this first year of the loan?
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