One July 1, 2015, Clayton Company issued $2,000,000 of zero-interest bonds. The bonds were scheduled to mature on December 31, 2023 and were priced to earn investors a 14% effective yield. Interest accrues semi-annually. What is the amount of interest expense Clayton will recognize for the calendar year 2016? Please Explain.
Solution:
Face value of bonds = $2,000,000
Period to bond maturity = 8.5 years
Nos of semiannual period = 8.5*2 = 17
Effective yield = 14%, 7% semiannual
Issue price of bond = $2,000,000 * PV factor at 7% for 17th period
= $2,000,000 * 0.31657
= $633,149
Bond Amortization schedule (Partial) | ||
Date | Interest expense | Carrying Value |
1-Jul-15 | $633,149 | |
31-Dec-15 | $44,320 | $677,469 |
30-Jun-16 | $47,423 | $724,892 |
31-Dec-16 | $50,742 | $775,635 |
Amount of interest expense Clayton will recognize for the calendar year 2016 = $47,423 + $50,742 = $98,165
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