On July 1, 2010, Kroger purchased 11-year, 8% bonds having maturity a value of $429,000. Interest is paid semi-annually on June 30 and December 31 and the bonds provide the bondholders a 6% yield. Kroger uses the effective-interest method to amortize discount or premium. At the time of acquisition, the bonds were classified as held-to-maturity. The fair value of the bonds on December 31, 2012 is $439,000. The fair value of the bonds as of December 31 of the immediately preceding year (prior measurement date) was $457,000.
What is the amount of net income recognized in the 2012 income statement solely as a result of these bonds? (Note: if the net amount results in a loss, enter a minus sign '-' prior to the amount. If the net amount results in income, enter the amount as a positive amount.)
Solution:
Computation of bond price | |||
Table values are based on: | |||
n= | 22 | ||
i= | 3% | ||
Cash flow | Table Value | Amount | Present Value |
Par (Maturity) Value | 0.52189 | $429,000 | $223,892 |
Interest (Annuity) | 15.93692 | $17,160 | $273,477 |
Purchase price of bonds | $497,369 |
Bond Amortization Schedule | |||||
Date | Interest received | Interest Revenue (3%) | Premium Amortized | Unamortized Premium | Carrying Value |
1-Jul-10 | $68,369 | $497,369 | |||
31-Dec-10 | $17,160 | $14,921 | $2,239 | $66,130 | $495,130 |
30-Jun-11 | $17,160 | $14,854 | $2,306 | $63,824 | $492,824 |
31-Dec-11 | $17,160 | $14,785 | $2,375 | $61,449 | $490,449 |
30-Jun-12 | $17,160 | $14,713 | $2,447 | $59,002 | $488,002 |
31-Dec-12 | $17,160 | $14,640 | $2,520 | $56,482 | $485,482 |
amount of net income recognized in the 2012 income statement solely as a result of these bonds = Interest revenue for 2012 = $14,713 + $14,640 = $29,353
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