Straight Line Amortization of Bond Premium or Discount: 동영상 및 연습문제

When analyzing bonds, understanding the concepts of discounts and premiums is crucial, particularly in relation to interest rates. The relationship between the stated interest rate of a bond and the market interest rate determines whether a bond is sold at face value, a discount, or a premium. When the stated rate equals the market rate, the bond sells at its face value, also known as par value. However, if the stated rate is less than the market rate, the bond will sell at a discount, meaning its price is below face value. Conversely, if the stated rate exceeds the market rate, the bond sells at a premium, with its price above face value.

For example, consider a bond issued by ABC Company on January 1, 2018, with a face value of \$50,000 and a stated interest rate of 9%, while the market interest rate is 8%. Since the stated rate is higher than the market rate, this bond is issued at a premium, specifically at 108% of its face value. To calculate the cash received from the bond issuance, multiply the face value by the issue price: \$50,000 × 1.08 = \$54,000. This results in a premium of \$4,000, as the bond will only require repayment of the face value of \$50,000 at maturity.

The journal entry for this transaction reflects a debit to cash for \$54,000, a credit to bonds payable for \$50,000, and a credit to premium on bonds payable for \$4,000. This entry indicates an increase in liabilities, with bonds payable recorded at the principal amount and the premium recognized as an additional liability. The total cash inflow from the bond issuance is thus \$54,000, which includes the premium.

Moving forward, the amortization of the premium over the life of the bond is essential for accurately reflecting interest expense. The straight-line method of amortization divides the total premium by the number of interest periods, allowing for a consistent reduction of the premium on the financial statements. This method simplifies the accounting process and ensures that the interest expense recognized each period reflects the true cost of borrowing.

When accounting for bonds, understanding the amortization of bond premiums and discounts is crucial. The amortization process follows a specific formula, where the total bond premium or discount at issuance is divided by the total number of interest periods. This is important because the number of periods may differ from the number of years, especially if interest payments are made semiannually. For instance, if a bond has a life of 5 years with semiannual payments, the total interest periods would be 10.

In a practical example, consider a bond with a principal amount of \$50,000 and a stated interest rate of 9%. For semiannual interest payments, the cash interest paid every six months is calculated as follows:

Cash Interest = Principal × Stated Rate / 2

Substituting the values gives:

Cash Interest = \$50,000 × 0.09 / 2 = \$2,250

Next, to determine the amortization of the bond premium, the total bond premium (e.g., \$4,000) is divided by the total interest periods (10), resulting in:

Amortization per Period = Total Bond Premium / Total Interest Periods

Thus:

Interest Expense = Cash Interest - Amortization of Premium

In this case, the interest expense would be:

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When a company issues bonds, it records an issuance entry that reflects the cash received and the corresponding bonds payable. The relationship between the stated interest rate and the market interest rate determines whether the bonds are issued at a discount or a premium. In this example, ABC Company issued \$50,000 of 9% bonds on January 1, 2018, with a maturity of 5 years. The stated interest rate of 9% is lower than the market rate of 10%, indicating that the bonds will be sold at a discount.

The bonds were issued at 94% of their face value, which means the cash received is calculated as follows:

Cash Received = Face Value × Issue Price Percentage

Cash Received = \$50,000 × 0.94 = \$47,000

Although ABC Company receives \$47,000 in cash, it is obligated to repay the full face value of \$50,000 at maturity. The accounting entries for this transaction would be:

• Debit Cash: \$47,000
• Credit Bonds Payable: \$50,000
• Debit Discount on Bonds Payable: \$3,000

The discount on bonds payable, which amounts to \$3,000, is recorded as a debit. This discount reduces the carrying value of the bonds payable liability. Therefore, the net effect on the bonds payable account is:

Bonds Payable = Face Value - Discount

Bonds Payable = \$50,000 - \$3,000 = \$47,000

This accounting treatment reflects the lower cash received compared to the total liability, illustrating how the discount on bonds payable affects the financial statements. The next step involves calculating the interest expense associated with these bonds, which will be based on the effective interest rate method, considering the market rate at the time of issuance.

When calculating interest expense for bonds issued at a discount, the process involves understanding both the cash interest payment and the amortization of the discount. The cash interest payment is determined using the formula:

Cash Interest Payment = Principal × Stated Rate × (1/Number of Periods per Year)

For example, if a bond has a principal of \$50,000 and a stated interest rate of 9%, the semiannual cash interest payment would be:

Cash Interest Payment = \$50,000 × 0.09 × (1/2) = \$2,250

Next, the amortization of the discount is calculated by dividing the total discount by the total number of interest periods. If the total discount is \$3,000 and the bond has a term of 5 years with semiannual payments (resulting in 10 total periods), the amortization per period would be:

Amortization = Total Discount / Total Periods = \$3,000 / 10 = \$300

In the journal entry for recording the interest expense, the cash payment and the amortization of the discount are reflected. The entry would include a debit to interest expense, a credit to cash, and a credit to the discount on bonds payable. The interest expense is calculated as the sum of the cash interest payment and the amortization of the discount:

Interest Expense = Cash Interest Payment + Amortization = \$2,250 + \$300 = \$2,550

The journal entry would look like this:

• Debit Interest Expense: \$2,550
• Credit Cash: \$2,250
• Credit Discount on Bonds Payable: \$300

This entry reflects a decrease in cash and an increase in interest expense, which ultimately reduces equity. The discount on bonds payable is also reduced, which increases the liability closer to the bond's face value. This ensures that the accounting equation remains balanced, as both sides reflect the same total decrease.

Understanding this process is crucial for accurately reporting financial statements and managing bond liabilities effectively. Practicing similar problems will reinforce these concepts and enhance your proficiency in accounting for bonds issued at a discount.