On January 1, Year 1, assume Smart Touch Learning issued 10-year, $100,000 bonds at 95% with an interest rate of 6% paid semi-annually. Using the straight-line amortization method, what is the amount of interest expense recorded each interest period?
Answer is (b) $ 3,250
Interest expense would comprise of two parts as under:
1. Interest Payable
Bond Amount = $ 100,000
Interest Rate = 6%
Semiannual interest rate = 6% / 2 = 3%
Interest Payable = $ 100,000 X 3% = $ 3,000
2. Amortization of Discount
Total Discount = $ 5,000 (100,000 bonds issued at 95% which emans discount is 5% i.e. $ 100,000 X 5%)
Life of Bond = 10 years
No. of half years in Bond Life = 10 years X 2 = 20 half years
Per half year discount = $ 5,000 / 20 half years = $ 250
Total Interest Expense = Interest Payable + Discount amortized on Bond = $ 3,000 + $ 250 = $ 3,250
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