a. Complete an amortization schedule for a $39,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 11% 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? I. 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. 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 increases. V. These percentages do not change over time; interest and principal are each a constant percentage of the total payment. vAmortization schedule Loan amount to be repaid (PV) $39,000.00 Interest rate (r) 11.00% Length of loan (in years) 3 a. Setting up amortization table Formula Calculation of loan payment #N/A Repayment of Year Beginning Balance Payment Interest Principal Remaining Balance b. Calculating % of Payment Representing Interest and Principal for Each Year Payment % Payment % Representing Representing Check: Total = Year Interest Principal 100% Formulas Repayment of Year Beginning Balance Payment Interest Principal Remaining Balance #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A WON #N/A #N/A #N/A #N/A #N/A b. Calculating % of Payment Representing Interest and Principal for Each Year Payment % Payment % Representing Representing Check: Total = Year Interest Principal 100% #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A