In: Finance
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
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 | |||