On 1 January 2013, Ouyang Inc issues $1,000,000 face value, 10-year bonds with annual interest rate of 5% to be paid each 31 December. The market interest rate is 4%. Using the effective interest rate method of amortization, Ouyang Inc should record when it closes its annual book on Dec 31, 2015 (Round your number to integers):
Choices:
a carrying amount of 1,081,109 on Dec 31, 2015
an interest expense of 42,974 on Dec 31, 2015
a cash disbursement of 43,244 on Dec 31, 2015
a carrying amount of 1,060,021 on Dec 31, 2015
an amortization of discount of 7,307 on Dec 31, 2015
Answer :
Correct option : a carrying amount of 1,060,021 on Dec 31, 2015
Calculation :
Calculation of carrying value :
Amount | PV factor 4% | Present value | ||
Cash interest | 50,000 | 8.11090 | 405545 | |
Principal | 1,000,000 | 0.67556 | 675564 | |
Total |
1,081,109 |
Calculation of interest expense on carrying value :
Interest expense 4%: | Amount | Calculation | ||
December 31, 2013 | 43244 | 1081109*4% | ||
December 31, 2014 | 42974 | 1074353*4% | ||
December 31, 2015 | 42693 | 1067327*4% |
Period | Cash interest | Interest expense 4% | Premium amortized | Carrying value |
January 01, 2013 | 1081109 | |||
December 31, 2013 | 50000 | 43244 | 6756 | 1074353 |
December 31, 2014 | 50000 | 42974 | 7026 | 1067327 |
December 31, 2015 | 50000 | 42693 | 7307 | 1060021 |
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