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Complete an amortization schedule for a $32,000 loan to be repaid in equal installments at the end of each of the next three years. The
Complete an amortization schedule for a $32,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 12% compounded annually. Round all answers to the nearest cent.
Beginning | Repayment | Ending | |||
Year | Balance | Payment | Interest | of Principal | Balance |
1 | $ fill in the blank 2 | $ fill in the blank 3 | $ fill in the blank 4 | $ fill in the blank 5 | $ fill in the blank 6 |
2 | $ fill in the blank 7 | $ fill in the blank 8 | $ fill in the blank 9 | $ fill in the blank 10 | $ fill in the blank 11 |
3 | $ fill in the blank 12 | $ fill in the blank 13 | $ fill in the blank 14 | $ fill in the blank 15 | $ fill in the blank 16 |
b. What percentage of the payment represents interest and what percentage represents principal for each of the three years? Round all answers to two decimal places.
% Interest | % Principal | |
Year 1: | fill in the blank 17% | fill in the blank 18% |
Year 2: | fill in the blank 19% | fill in the blank 20% |
Year 3: | fill in the blank 21% | fill in the blank 22% |
c. Why do these percentages change over time?
- These percentages change over time because even though the total payment is constant the amount of interest paid each year is declining as the remaining or outstanding balance declines.
- These percentages change over time because even though the total payment is constant the amount of interest paid each year is increasing as the remaining or outstanding balance declines.
- These percentages change over time because even though the total payment is constant the amount of interest paid each year is declining as the remaining or outstanding balance increases.
- These percentages change over time because even though the total payment is constant the amount of interest paid each year is increasing as the remaining or outstanding balance increases.
- These percentages do not change over time; interest and principal are each a constant percentage of the total payment.
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