Certainly! For the first semiannual interest payment on December 31, 2025, we also need to consider the amortization of the bond premium. Here are the calculations and the subsequent journal entry:
Calculate the Semiannual Interest Payment:
-
Face Value of Bonds: $72,000
-
Stated Interest Rate: 15%
-
Semiannual Interest Payment:
\[
\text{Semiannual Interest} = \text{Face Value} \times \left( \frac{\text{Stated Rate}}{2} \right)
\]
\[
= 72,000 \times 0.075 = 5,400
\]
Amortization of the Premium:
Since there is a premium of $3,600 over the life of the bond (10 years or 20 periods), the semiannual amortization will be:
\[
\text{Amortization of Premium} = \frac{3,600}{20} = 180
\]
The Journal Entry for December 31, 2025:
Now we can record the semiannual interest payment and the amortization of the premium.
Debit: Interest Expense $5,220
Debit: Premium on Bonds Payable $180
Credit: Cash $5,400
Explanation:
-
Interest Expense: This is the cash interest paid minus the amortization of the premium:
\[
\text{Interest Expense} = \text{Semiannual Interest} - \text{Amortization of Premium} = 5,400 - 180 = 5,220
\]
-
Premium on Bonds Payable: This reflects the amortization of the bond premium.
-
Cash: The total cash payment for interest is $5,400.
This entry accurately reflects the interest payment and the impact of the bond premium on interest expense. Let me know if you need any further assistance!