Answer:
Year Carrying value Interest Amortization year-end outstanding
1 71,500 5,005 12,433.18 59066.82
2 59,066.82 4,134.68 13,303.51 45763.31
3 45,763.31 3,203.43 14,234.75 31528.55
4 31,528.55 2,207.00 15,231. 19 16297.39
5 16,297.37 1, 140.82 16,297.37 0
Interest on the third year: $ 3.203.43
Explanation:
First step will be to calcualte the quota:
[tex]PV \div \frac{1-(1+r)^{-time} }{rate} = C\\[/tex]
PV 71,500
time 5
rate 0.07
[tex]71500 \div \frac{1-(1+0.07)^{-5} }{0.07} = C\\[/tex]
C $ 17,438.185
Now, we can build up the schedule:
The interest are the carrying value times 7% interest rate
The amortization is the quota less interest expense
And the year-end is the beginning less amortization