On January 1 of this year, Ikuta Company issued a bond with a face value of $155,000 and a coupon rate of 7 percent. The bond matures in 3 years and pays interest every December 31. When the bond was issued, the annual market rate of interest was 8 percent. Ikuta uses the effective-interest amortization method.
1. Complete a bond amortization schedule for all three years of the bond's life.
2. What amounts will be reported on the income statement and balance sheet at the end of Year 1 and Year 2?
Solution 1:
Chart Values are based on: | |||||
n | 3 | years | |||
i= | 8.00% | Semi annual | |||
Cash Flow | Table Value | * | Amount | = | Present Value |
Principal | 0.793832 | * | $1,55,000 | = | $1,23,044 |
Interest (Annuity) [$155,000*7%] | 2.577097 | * | $10,850 | = | $27,962 |
Price of Bonds | $1,51,005 |
Bond Amortization Schedule | ||||
Date | Cash interest | Interest Expense | Discount amortized | Carrying value |
1-Jan-Year 1 | $1,51,005 | |||
31-dec-Year 1 | $10,850 | $12,080 | $1,230 | $1,52,236 |
31-dec-Year 2 | $10,850 | $12,179 | $1,329 | $1,53,565 |
31-dec-Year 3 | $10,850 | $12,285 | $1,435 | $1,55,000 |
Solution 2:
Year 1 | Year 2 | ||
Income statement | Interest expense | $12,080 | $12,179 |
Balance Sheet | Bonds Payable | $1,52,236 | $1,53,565 |
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