Final answer:
The bond carrying amount after the second interest payment on December 31, 2018, is $24,137.50, determined by adding the amortized discount for two periods to the discounted issuance price of Waller Sales' bonds.
Step-by-step explanation:
To determine the carrying amount of Waller Sales' bonds on December 31, 2018, we must first calculate the semiannual interest payment, the total bond discount, and the amount of discount amortized each period using the straight-line method.
The semiannual interest payment is calculated as follows: $30,000 (face value) × 11% (stated interest rate) × 1/2 (since interest is paid semiannually) = $1,650.
The total bond discount at issuance is the difference between the face value and the issuance price: $30,000 - $23,300 = $6,700.
The discount amortized each period over the life of the bonds using the straight-line method is: $6,700 (total discount) ÷ 16 (total number of semiannual periods over 8 years) = $418.75.
After the second interest payment, two periods of discount will have been amortized. Therefore, the carrying amount is calculated as: $23,300 (issuance price) + 2 × $418.75 (amortized discount for two periods) = $24,137.50.
So, after the second interest payment on December 31, 2018, the bond carrying amount would be $24,137.50.