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a. Complete an amortization schedule for a $23,000 loan to be repaid in equal installments at the end of each of the next three years.
a. Complete an amortization schedule for a $23,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 6% compounded annually. Round all answers to the nearest cent.
Beginning | Repayment | Ending | |||
Year | Balance | Payment | Interest | of Principal | Balance |
1 | $ | $ | $ | $ | $ |
2 | $ | $ | $ | $ | $ |
3 | $ | $ | $ | $ | $ |
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: | __% | __% |
Year 2: | __% | __% |
Year 3: | __% | __% |
c. Why do these percentages change over time? (Choose one option)
- 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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