Question

The data on a loan has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

a. Complete an amortization schedule for a $22,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 8% 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?

1. 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.
2. 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.
3. 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.
4. 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.
5. These percentages do not change over time; interest and principal are each a constant percentage of the total payment.

_____IIIIIIIVV

a. Complete an amortization schedule for a $22,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 8% 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?

1. 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.
2. 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.
3. 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.
4. 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.
5. These percentages do not change over time; interest and principal are each a constant percentage of the total payment.

With a financial calculator, enter N = 3, I/YR = 8, PV = -22,000, and FV = 0, and solve for PMT = $8,536.74. Then go through the amortization procedure as described in your calculator manual to get the entries for the amortization table. Beginning Repayment Remaining Year Balance Payment Interest of Principal Balance 1 $22,000.00     $8,536.74     $1,760.00     $6,776.74     $15,223.26     2 15,223.26     8,536.74     1,217.86     7,318.88     7,904.39     3 7,904.39     8,536.74     632.35     7,904.39     0.00     $25,610.21     $3,610.21     $22,000.00     % Interest % Principal Year 1: 1,760.00/8,536.74 = 20.62% 6,776.74/8,536.74 = 79.38% Year 2: 1,217.86/8,536.74 = 14.27% 7,318.88/8,536.74 = 85.73% Year 3: 632.35/8,536.74 = 7.41% 7,904.39/8,536.74 = 92.59% These percentages change over time because, even though the total payment is constant, the amount of interest paid each year is declining as the balance declines.

Answer 1

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