Question

In: Economics

Upon graduation, Jeffrey Feldhusen borrows $13,100 to finance a late model used car. The loan is...

Upon graduation, Jeffrey Feldhusen borrows $13,100 to finance a late model used car. The loan is made by a family member who wishes to have equal annual payments at 12 % over 4 years.


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How much are the annual payments? $

Carry all interim calculations to 5 decimal places and then round your final answer to the nearest dollar. The tolerance is ±5.
How many total dollars of interest does Jeffrey pay over the life of the loan? $   

Carry all interim calculations to 5 decimal places and then round your final answer to the nearest dollar. The tolerance is ±5.
How much of the second payment goes to pay interest? $

Carry all interim calculations to 5 decimal places and then round your final answer to the nearest dollar. The tolerance is ±5.
How much of the second payment goes to pay principal? $

Carry all interim calculations to 5 decimal places and then round your final answer to the nearest dollar. The tolerance is ±5.

Develop a table.

Year

Beginning Balance

Loan Payment

Interest Payment

Principal Payment

Ending Balance

1 $ $ $ $ $
2 $ $ $ $ $
3 $ $ $ $ $
4 $ $ $ $ $

Carry all interim calculations to 5 decimal places and then round your final answer to the nearest dollar. The tolerance is ±5.

Do your answers to Parts a, c, and d agree?

NoYes

Solutions

Expert Solution

Using Excel (All answers are from below table)

a. Annual loan repayment = 4313

b. Total interest paid = 4152

c. Total interest paid in second payment = 1243

d. Total principal paid in second payment = 3070

e.

Total cost 13100
Down Payment 0
Amount of loan 13100
interest rate 12%
time (yrs) 4
Yearly payment 4313
Total amount paid 17252
Total interest paid 4152
Year Beginning Balance Yearly Payment Yearly Interest Principle Amount Ending Balance
1 13100 4313 1572 2741 10359
2 10359 4313 1243 3070 7289
3 7289 4313 875 3438 3851
4 3851 4313 462 3851 0

YES, All answers agree

Showing formula in Excel

Total cost 13100
Down Payment 0
Amount of loan =B1-B2
interest rate 0.12
time (yrs) 4
Yearly payment =PMT(B4,B5,-B3)
Total amount paid =B7*B5
Total interest paid =B8-B3
Year Beginning Balance Yearly Payment Yearly Interest Principle Amount Ending Balance
1 =B3 =$B$7 =B12*($B$4) =C12-D12 =B12-E12
2 =F12 =$B$7 =B13*($B$4) =C13-D13 =B13-E13
3 =F13 =$B$7 =B14*($B$4) =C14-D14 =B14-E14
4 =F14 =$B$7 =B15*($B$4) =C15-D15 =B15-E15

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