Question

Chandler has arranged to buy his Dad’s 2017 BMW for $39,000 at a 7.5% annual interest...

Chandler has arranged to buy his Dad’s 2017 BMW for $39,000 at a 7.5% annual interest rate. The terms require him to amortize the loan with 7 equal end-of-year payments. How much interest would Chandler be paying in Year 2?

A). $2,073.71

B). $2,332.92

C). $2,462.53

D).$2,592.13

E). $2,980.95

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Answer #1

Instalment = Loan / PVAF(r%, n)

= $ 39,000 / PVAF( 7.5% , 7 )

= $ 39,000 / 5.2966

= $ 7363.21

Looan AMortization Table:

Year Opening Bal Instalment Int Principal repay Clsoing Bal
1 $ 39,000.00 $ 7,363.21 $ 2,925.00 $ 4,438.21 $ 34,561.79
2 $ 34,561.79 $ 7,363.21 $ 2,592.13 $ 4,771.08 $ 29,790.71
3 $ 29,790.71 $ 7,363.21 $ 2,234.30 $ 5,128.91 $ 24,661.81
4 $ 24,661.81 $ 7,363.21 $ 1,849.64 $ 5,513.57 $ 19,148.23
5 $ 19,148.23 $ 7,363.21 $ 1,436.12 $ 5,927.09 $ 13,221.14
6 $ 13,221.14 $ 7,363.21 $    991.59 $ 6,371.62 $   6,849.52
7 $   6,849.52 $ 7,363.21 $    513.71 $ 6,849.50 $               -  

Int Paid in Year 2 is 2592.13

OPtion D is correct

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