In: Accounting
1. R Company purchased $100,000 of 8% bonds on Jan 1, 2016
at a discount. They paid $92,278. The bonds mature Jan 1,
2021 and yield a 10% rate. The intent of management is to
hold
the bonds until maturity. Assuming that interest is payable July
1
and Jan 1 create an effective interest amortization table.
What is the amount of interest recognized in the period
ended
1/1/17?
Amortization table |
|||||
Period |
Cash payment |
Interest expense |
Discount on Bonds payable |
Carrying Value of Bond |
|
$ 7,722 |
$ 92,278 |
||||
Year 1 |
July 1 2016 |
$ 4,000 |
$ 4,614 |
$ 614 |
$ 92,892 |
Jan 1 2017 |
$ 4,000 |
$ 4,645 |
$ 645 |
$ 93,536 |
|
Year 2 |
July 1 2017 |
$ 4,000 |
$ 4,677 |
$ 677 |
$ 94,213 |
Jan 1 2018 |
$ 4,000 |
$ 4,711 |
$ 711 |
$ 94,924 |
|
Year 3 |
July 1 2018 |
$ 4,000 |
$ 4,746 |
$ 746 |
$ 95,670 |
Jan 1 2019 |
$ 4,000 |
$ 4,784 |
$ 784 |
$ 96,454 |
|
Year 4 |
July 1 2019 |
$ 4,000 |
$ 4,823 |
$ 823 |
$ 97,276 |
Jan 1 2020 |
$ 4,000 |
$ 4,864 |
$ 864 |
$ 98,140 |
|
Year 5 |
July 1 2020 |
$ 4,000 |
$ 4,907 |
$ 907 |
$ 99,047 |
Jan 1 2021 |
$ 4,000 |
$ 4,952 |
$ 952 |
$ 100,000 |
Interest to be recognized on January 1 2017 =$ 4645
Leave a comment in case of any query. I have rounded off calculations to whole number. If you need answer in 2 decimal places see the given below table.
Amortization table |
|||||
Period |
Cash payment |
Interest expense |
Premium on Bonds payable |
Carrying Value of Bond |
|
$ 7,722.00 |
$ 92,278.00 |
||||
Year 1 |
July 1 2016 |
$ 4,000.00 |
$ 4,613.90 |
$ 613.90 |
$ 92,891.90 |
Jan 1 2017 |
$ 4,000.00 |
$ 4,644.60 |
$ 644.60 |
$ 93,536.50 |
|
Year 2 |
July 1 2017 |
$ 4,000.00 |
$ 4,676.82 |
$ 676.82 |
$ 94,213.32 |
Jan 1 2018 |
$ 4,000.00 |
$ 4,710.67 |
$ 710.67 |
$ 94,923.99 |
|
Year 3 |
July 1 2018 |
$ 4,000.00 |
$ 4,746.20 |
$ 746.20 |
$ 95,670.19 |
Jan 1 2019 |
$ 4,000.00 |
$ 4,783.51 |
$ 783.51 |
$ 96,453.69 |
|
Year 4 |
July 1 2019 |
$ 4,000.00 |
$ 4,822.68 |
$ 822.68 |
$ 97,276.38 |
Jan 1 2020 |
$ 4,000.00 |
$ 4,863.82 |
$ 863.82 |
$ 98,140.20 |
|
Year 5 |
July 1 2020 |
$ 4,000.00 |
$ 4,907.01 |
$ 907.01 |
$ 99,047.21 |
Jan 1 2021 |
$ 4,000.00 |
$ 4,952.36 |
$ 952.36 |
$ 99,999.57 |
Ending Book value of bond on jan 1 2017 is $99,999.57 due to round off .