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 .