In: Accounting
On January 1, Vixen, Inc. purchased a new sleigh packing machine, costing $62,500, by signing a promissory note with 7-year, 4.75% terms with biannual payments. Show the entire amortization schedule and highlight the total, interest and principal payment for payment number 13. Also, specify what year/month this payment occurs.
please show on excel
Period | Date | Year | Installment | Interest expenses | Decrease in Balance | Ending Baance | ||||||
0 | January 1 | $ 62,500 | ||||||||||
1 | June 30 | 1 | $ 5,300 | $ 1,484 | $ 3,815 | $ 58,685 | ||||||
2 | December 31 | 1 | $ 5,300 | $ 1,394 | $ 3,906 | $ 54,778 | ||||||
3 | June 30 | 2 | $ 5,300 | $ 1,301 | $ 3,999 | $ 50,780 | ||||||
4 | December 31 | 2 | $ 5,300 | $ 1,206 | $ 4,094 | $ 46,686 | ||||||
5 | June 30 | 3 | $ 5,300 | $ 1,109 | $ 4,191 | $ 42,495 | ||||||
6 | December 31 | 3 | $ 5,300 | $ 1,009 | $ 4,291 | $ 38,204 | ||||||
7 | June 30 | 4 | $ 5,300 | $ 907 | $ 4,393 | $ 33,812 | ||||||
8 | December 31 | 4 | $ 5,300 | $ 803 | $ 4,497 | $ 29,315 | ||||||
9 | June 30 | 5 | $ 5,300 | $ 696 | $ 4,604 | $ 24,711 | ||||||
10 | December 31 | 5 | $ 5,300 | $ 587 | $ 4,713 | $ 19,998 | ||||||
11 | June 30 | 6 | $ 5,300 | $ 475 | $ 4,825 | $ 15,173 | ||||||
12 | December 31 | 6 | $ 5,300 | $ 360 | $ 4,939 | $ 10,234 | ||||||
13 | June 30 | 7 | $ 5,300 | $ 243 | $ 5,057 | $ 5,177 | ||||||
14 | December 31 | 7 | $ 5,300 | $ 123 | $ 5,177 | $ -0 | ||||||
Total | $ 74,198 | $ 11,698 | $ 62,500 | |||||||||
Working: | ||||||||||||
Semi annual payments | = | Cost/Cumulative discount factor | ||||||||||
= | $ 62,500 | / | 11.7928 | |||||||||
= | $ 5,300 | |||||||||||
Cumulative discount factor | = | (1-(1+i)^-n)/i | Where, | |||||||||
= | (1-(1+0.02375)^-14)/0.02375 | i | 4.75%/2 | = | 0.02375 | |||||||
= | 11.7928 | n | 7*2 | = | 14 | |||||||
Interest expenses | = | Beginning Balance * Interest rate * Time | ||||||||||
= | 62500*4.75%*6/12 | |||||||||||
= | $ 1,484 | |||||||||||