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Breakdown is often developed in an amortization schedule. Interest is largest in the first period and declines over the life of the loan, while the principal repayment is smallest in the first period and increases thereafter.
Quantitative Problem: You need $11,000 to purchase a used car. Your wealthy uncle is willing to lend you the money as an amortized loan. He would like you to make annual payments for 4 years, with the first payment to be made one year from today. He requires a 7% annual return.
a. What will be your annual loan payments? Do not round intermediate calculations. Round your answer to the nearest cent.
b. How much of your first payment will be applied to interest and to principal repayment? Do not round intermediate calculations. Round your answers to the nearest cent.
Incorrect Check My Work Feedback: Review the definition for an amortized loan.
Review the definition for the PV of an ordinary annuity and its equation.
If using a financial calculator, be careful about the meaning of the negative sign and remember to include FV = 0 (or be sure to clear all registers before starting problem).