Question

In: Finance

1. Construct an amortization schedule for a $1,000, 8% annual rate loan with 3 equal payments....

1. Construct an amortization schedule for a $1,000, 8% annual rate loan with 3 equal payments. The first payment will be made at the end of the1st year. Find the required annual payments

A) $355.8

B) $367.2

C)$388.0

D)$390.7

2. Based on the information from Question 1, what’s the ending balance of the amortized loan at the end of the third year

A)$0

B)$349.7
C)$388.3

D)$692.0

3. Based on the information from Question 1 and 2, calculate the total amount of interests you should pay for the amortized loan in three years

A)$128.8

B)$145.4

C)$150.0

D)$164.1

Solutions

Expert Solution

1. C) $ 388.0

2. A) $ 0

3. D) $ 164.1

Working:

Step-1:Calculation of equal annual payment
Equal annual payment =-pmt(rate,nper,pv,fv)
= $       388.0
Where,
rate = 8%
nper = 3
pv = $       1,000
fv = 0
Step-2:Preparation of amortization schedule
Year end Beginning Loan Annual Payment Interest Expense Principal repayment Ending Loan
a b c=a*8% d=b-c e=a-d
1 $   1,000.0 $       388.0 $       80.0 $    308.0 $    692.0
2 $       692.0 $       388.0 $       55.4 $    332.7 $    359.3
3 $       359.3 $       388.0 $       28.7 $    359.3 0
Total $   1,164.1 $    164.1 $ 1,000.0

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