On July 1, 2023, Smith Company issued 600 of its 7%, $1,000 bonds. The bonds were issued to yield 12%. The bonds are dated July 1, 2023, and mature on July 1, 2033. Interest is payable semiannually on January 1 and July 1. Using the effective interest method, how much of the bond discount should be amortized for the 6 months ended December 31, 2023?
The correct answer is
$ 4677
Calculation
Firstly we have to calculate the issue price of the bond
= (interest payment * present value factor (6%,20)) + (face value * present value factor (6%,20))
= ((600000*7%/2)*((1-(1.06)^-20)/.06)) + (600000*(1/(1.06)^20))
= $427951
Discount amortized on december 31, 2013 = (issue price * market interest rate) - cash interest paid
= (427951*12%/2) - (600000*7%/2)
= $25677 -21000
= $ 4677
Thus the correct answer is $ 4677
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