a. Complete an amortization schedule for a $11,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 10% compounded annually. Round all answers to the nearest cent. Beginning Repayment Ending Year Balance Payment Interest of Principal Balance 1 $ fill in the blank 2 $ fill in the blank 3 $ fill in the blank 4 $ fill in the blank 5 $ fill in the blank 6 2 $ fill in the blank 7 $ fill in the blank 8 $ fill in the blank 9 $ fill in the blank 10 $ fill in the blank 11 3 $ fill in the blank 12 $ fill in the blank 13 $ fill in the blank 14 $ fill in the blank 15 $ fill in the blank 16 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: fill in the blank 17% fill in the blank 18% Year 2: fill in the blank 19% fill in the blank 20% Year 3: fill in the blank 21% fill in the blank 22% c. Why do these percentages change over time? 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. 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. 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. 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. These percentages do not change over time; interest and principal are each a constant percentage of the total payment.

Corporate Fin Focused Approach

5th Edition

ISBN:9781285660516

Author:EHRHARDT

Publisher:EHRHARDT

Chapter4: Time Value Of Money

Section4.17: Amortized Loans

Problem 1ST

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a. Complete an amortization schedule for a $11,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 10% compounded annually. Round all answers to the nearest cent.

	Beginning			Repayment	Ending
Year	Balance	Payment	Interest	of Principal	Balance
1	$ fill in the blank 2	$ fill in the blank 3	$ fill in the blank 4	$ fill in the blank 5	$ fill in the blank 6
2	$ fill in the blank 7	$ fill in the blank 8	$ fill in the blank 9	$ fill in the blank 10	$ fill in the blank 11
3	$ fill in the blank 12	$ fill in the blank 13	$ fill in the blank 14	$ fill in the blank 15	$ fill in the blank 16

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:	fill in the blank 17%	fill in the blank 18%
Year 2:	fill in the blank 19%	fill in the blank 20%
Year 3:	fill in the blank 21%	fill in the blank 22%

c. Why do these percentages change over time?

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

a. Complete an amortization schedule for a $11,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 10% compounded annually. Round all answers to the nearest cent.
Ending
Balance
Year
1
2
3
$
$
$
Year 1:
Beginning
Balance
Year 2:
Year 3:
$
$
$
Payment
% Interest
% Principal
%
CA
%
%
c. Why do these percentages change over time?
%
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
$
$
$
Repayment
of Principal
$
$
$
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.

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