Premium on Bonds: Videos & Practice Problems

When discussing bonds payable, it's essential to understand the concept of premiums and how they relate to the stated and market interest rates. A premium occurs when the stated interest rate on a bond is higher than the market interest rate. For instance, if a bond offers a stated rate of 12% while similar bonds in the market offer only 10%, investors will find the bond more attractive, leading to its sale at a premium.

In contrast, when the stated rate is lower than the market rate, such as a bond with an 8% stated rate compared to a 10% market rate, the bond will sell at a discount. In this case, investors are less inclined to purchase the bond, resulting in a lower selling price than its face value.

To illustrate the premium scenario, consider a bond issued by ABC Company with a face value of \$50,000 and a stated interest rate of 9%, maturing in 5 years. If the market interest rate is 8%, the bond will be sold at a premium, specifically at 108% of its face value. This means the bond will sell for:

\[\text{Cash Received} = \text{Face Value} \times 1.08 = 50,000 \times 1.08 = 54,000\]

In this journal entry, the cash received of \$54,000 is recorded as a debit. The bonds payable account, however, will only reflect the face value of \$50,000 as a credit. To balance the entry, the difference of \$4,000, which represents the premium on bonds payable, is also credited. This premium account increases the overall liability associated with the bonds, leading to a total liability of:

\[\text{Total Liability} = \text{Bonds Payable} + \text{Premium} = 50,000 + 4,000 = 54,000\]

On the balance sheet, the bonds payable will show as \$50,000, with an additional note indicating the premium of \$4,000, resulting in a total carrying value of \$54,000. This structure ensures that the accounting equation remains balanced, with the cash received accurately reflecting the total liability incurred by the company.

In summary, understanding the dynamics of premiums and discounts in bond issuance is crucial for accurate financial reporting and analysis. The bonds payable account always reflects the face value, while any premium or discount adjusts the carrying value of the bond, impacting the overall financial statements.

When accounting for interest expense related to bonds, it's essential to understand the timing and method of interest payments. In this case, the bond pays interest semiannually, meaning interest is paid twice a year. The first interest payment occurs on July 1, 2018, six months after the bond was issued on January 1, 2018. Since no interest is paid on the issuance date, the first payment reflects the interest accrued over the first six months.

The bond was issued at a premium of \$4,000, which increases the bond's value. To account for this premium, the straight-line method of amortization is used, which simplifies the process compared to the effective interest method. Under the straight-line method, the total premium is divided by the total number of interest payments. For a five-year bond with semiannual payments, there are 10 total interest payments. Thus, the premium amortization per payment is calculated as:

Amortization per payment = Total Premium / Total Payments = \$4,000 / 10 = \$400.

Next, the cash interest payment is calculated based on the bond's principal amount and the annual interest rate. The bond has a principal of \$50,000 and an annual interest rate of 9%. Since the payment is for six months, the cash interest is calculated as:

Cash Interest = Principal × Annual Rate × (1/2) = \$50,000 × 0.09 × (1/2) = \$2,250.

In the journal entry, the cash account is credited by the cash interest amount of \$2,250. The premium on bonds payable account, which initially has a credit balance, is debited by the amortization amount of \$400, reducing the premium balance. After this entry, the premium on bonds payable will have a remaining balance of:

Remaining Premium = Initial Premium - Amortization = \$4,000 - \$400 = \$3,600.

The carrying value of the bonds payable on the balance sheet is calculated by adding the remaining premium to the principal amount:

Carrying Value = Principal + Remaining Premium = \$50,000 + \$3,600 = \$53,600.

To complete the journal entry, the interest expense is recorded. The interest expense is the difference between the cash interest paid and the premium amortization:

Interest Expense = Cash Interest - Amortization = \$2,250 - \$400 = \$1,850.

This entry reflects a decrease in cash of \$2,250, a decrease in liabilities due to the amortization of the premium, and a decrease in equity as a result of the interest expense. The final journal entry balances, showing that the cash outflow equals the decrease in liabilities and equity.

In summary, the process of recording interest expense involves calculating cash interest, amortizing any premium or discount, and recognizing the resulting interest expense, which ultimately impacts the financial statements by affecting cash, liabilities, and equity.

As time progresses, it's essential to accurately record interest expenses, particularly at the end of the year. On December 31, even though cash payment for interest is not made until January 1, an accrual must be recorded to reflect the interest expense incurred over the past six months. This involves recognizing an interest payable liability, as cash has not yet been disbursed.

The calculation for the interest payable is based on the bond's face value and the interest rate. For instance, if the bond has a face value of \$50,000 with a 9% annual interest rate, the semiannual interest payable would be calculated as follows:

Interest Payable = Face Value × Interest Rate / 2 = \(50,000 × 0.09 / 2 = \)2,250.

In the journal entry, the interest payable is credited, reflecting the liability until it is settled. The premium amortization, which reduces the premium on bonds payable, is calculated by dividing the total premium by the number of periods. If the premium was \$4,000 and there are 10 periods, the amortization per period is:

Premium Amortization = Total Premium / Number of Periods = \(4,000 / 10 = \)400.

The journal entry would include a debit to the premium on bonds payable for \$400, reducing the premium balance, and a debit to interest expense for the remaining amount, which is the difference between the interest payable and the premium amortization:

Interest Expense = Interest Payable - Premium Amortization = \(2,250 - \)400 = \$1,850.

Thus, the journal entry would look like this:

Debit: Interest Expense $1,850
Debit: Premium on Bonds Payable $400
Credit: Interest Payable $2,250

After this entry, the premium on bonds payable decreases with each interest payment, reflecting a gradual reduction in the liability associated with the bond. Initially, if the premium started at \$4,000, after two interest payments, it would be reduced by \$800, leaving a balance of \$3,200.

It's important to note that interest expense impacts equity negatively, as it is classified as an expense. Conversely, the premium on bonds payable reduces liabilities, while the interest payable increases liabilities until it is settled. This careful tracking ensures that the accounting equation remains balanced, reflecting the company's financial position accurately.

On the following day, January 1, the interest payable would be settled by debiting the interest payable account and crediting cash for the amount due, effectively clearing the liability from the books.

In the context of bond financing, understanding the repayment of principal at maturity is crucial. After a period of making interest payments, the focus shifts to the final settlement of the bond's principal amount. Initially, the bond was issued at a premium, which means the premium account started with a credit balance of \$4,000. Throughout the bond's life, interest expense journal entries were made, reducing this premium by \$400 each time, totaling ten entries. This process effectively amortized the entire premium, leaving no balance in the premium account.

At maturity, the only remaining liability is the bonds payable, which reflects the principal amount of \$50,000. To settle this liability, a journal entry is made: the bonds payable account is debited for \$50,000, and cash is credited for the same amount. This transaction signifies the payment of the principal, resulting in a decrease in both cash and the bonds payable liability by \$50,000.

It's important to note that the amortization of the premium can be a challenging concept for students. When dealing with a premium, it is essential to remember that it increases the liability, thus carrying a credit balance. To eliminate this premium, debits are applied over the interest expense period. Conversely, when bonds are issued at a discount, the opposite occurs: the discount decreases the liability and is debited to reflect this reduction.

To reinforce understanding, students are encouraged to compare the processes of amortizing premiums and discounts on bonds payable. This comparison will highlight the similarities and differences in handling these two scenarios, enhancing comprehension of bond accounting principles.