Prepare an amortization schedule for a five-year loan of $47,000. The interest rate is 7% per year, and the loan calls for equal annual payments. (Do not round intermediate calculations. Enter all amounts as positive value. Round the final answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)
Year | Beginning Balance |
Total Payment |
Interest Payment |
Principal Payment |
Ending Balance |
1 | $ | $ | $ | $ | $ |
2 | |||||
3 | |||||
4 | |||||
5 | |||||
How much interest is paid in the third year? (Do not round intermediate calculations. Round the final answer to 2 decimal places.)
Interest paid $
How much total interest is paid over the life of the loan? (Do not round intermediate calculations. Round the final answer to 2 decimal places.)
Total interest $
Solution 1:
Annual payment amount = $47,000 / Cumulative PV factor at 7% for 5 periods
= $47,000 / 4.100197 = $11,462.86
Year | Beginning Balance | Total Payment | Interest Payment | Principal Payment | Ending Balance |
1 | $47,000.00 | $11,462.86 | $3,290.00 | $8,172.86 | $38,827.14 |
2 | $38,827.14 | $11,462.86 | $2,717.90 | $8,744.96 | $30,082.18 |
3 | $30,082.18 | $11,462.86 | $2,105.75 | $9,357.11 | $20,725.07 |
4 | $20,725.07 | $11,462.86 | $1,450.76 | $10,012.10 | $10,712.97 |
5 | $10,712.97 | $11,462.86 | $749.89 | $10,712.97 | $0.00 |
Total | $10,314.30 |
Solution 2:
interest is paid in the third year = $2,105.75
Solution 3:
Total interest is paid over the life of the loan = $10,314.30
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