a. Complete an amortization schedule for a $49,000 loan to be repaid in equal in

Question

a. Complete an amortization schedule for a $49,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 7% compounded annually. If an amount is zero, enter "O". Do not round intermediate calculations. Round your answers to the nearest cent. Ending Beginning Balance Repayment Year Payment b. What percentage of the payment represents interest and what percentage represents principal for each of the three years? Do not round intermediate calculations. Round your answers to two decimal places. % Interest % Principal Year 1: Year 2: Year 3: Why do these percentages change over time? I. These percentages change over time because even though the total payment is constant the amount of interest paid each year is dedlining as the remaining or outstanding balance declines. II. 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. III. 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. IV. 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 V. These percentages do not change over time; interest and principal are each a constant percentage of the total payment. -Select-

Explanation / Answer

a) The annual installments = 49000*0.07*1.07^3/(1.07^3-1) = $ 18,671.53 Year Beginning balance Payment Interest Repayment of Principal Ending Balance 1 49000.00 18671.53 3430.00 15241.53 33758.47 2 33758.47 18671.53 2363.09 16308.44 17450.03 3 17450.03 18671.54 1221.50 17450.04 0.00 b) Year % Interest % Principal 1 18.37% 81.63% 2 12.66% 87.34% 3 6.54% 93.46% c) Option I

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