Bond Amortization and the Effective Interest Method for the CPA Exam

Bonds Payable: Foundation Concepts

Bonds are long-term debt instruments that companies issue to raise capital. When the stated (coupon) interest rate on a bond differs from the market (effective) interest rate at issuance, the bond is issued at either a premium or a discount. Understanding how to account for these differences is essential for the CPA FAR exam.

A bond is issued at a premium when the stated rate exceeds the market rate. Investors are willing to pay more than face value because the coupon payments exceed what the market demands. Conversely, a bond is issued at a discount when the stated rate is below the market rate, and investors pay less than face value to compensate for the below-market coupon.

Initial Recognition

At issuance, bonds payable are recorded at their proceeds, which equals the present value of all future cash flows (interest payments and principal repayment) discounted at the market rate of interest at the date of issuance. The difference between the face value and the proceeds represents the premium or discount.

For example, if a company issues a $1,000,000 bond with a 6% stated rate when the market rate is 5%, the bond will sell at a premium. The proceeds will exceed $1,000,000. The journal entry debits Cash for the proceeds, credits Bonds Payable for the face amount, and credits Premium on Bonds Payable for the difference.

The Effective Interest Method

ASC 835-30 requires the use of the effective interest method to amortize bond premiums and discounts (the straight-line method is permitted only when results are not materially different). Under the effective interest method:

1. Interest expense equals the carrying value of the bond at the beginning of the period multiplied by the market rate at issuance.
2. Cash paid equals the face value multiplied by the stated rate.
3. The difference between interest expense and cash paid is the amortization of the premium or discount.

Discount Amortization

When a bond is issued at a discount, interest expense exceeds the cash interest payment each period. The excess increases the carrying value of the bond. Over the life of the bond, the carrying value increases from the issue price to the face value at maturity. Each period, interest expense grows because it is calculated on an increasing carrying value.

Example: A $500,000 bond issued at $480,000 with a 4% stated rate and 5% market rate, paying interest annually. In Year 1, interest expense is $480,000 times 5%, which equals $24,000. Cash paid is $500,000 times 4%, which equals $20,000. Discount amortization is $4,000, increasing the carrying value to $484,000.

Premium Amortization

When a bond is issued at a premium, cash interest payments exceed interest expense each period. The excess reduces the carrying value of the bond. Over the life of the bond, the carrying value decreases from the issue price to the face value at maturity. Each period, interest expense decreases because it is calculated on a declining carrying value.

Journal Entries

Issuance at a Discount

Debit Cash (proceeds), Debit Discount on Bonds Payable (difference), Credit Bonds Payable (face value). Alternatively, some entities record bonds payable net of the discount.

Issuance at a Premium

Debit Cash (proceeds), Credit Bonds Payable (face value), Credit Premium on Bonds Payable (difference).

Interest Payment: Discount Bond

Debit Interest Expense (carrying value times market rate), Credit Discount on Bonds Payable (amortization amount), Credit Cash (face value times stated rate).

Interest Payment: Premium Bond

Debit Interest Expense (carrying value times market rate), Debit Premium on Bonds Payable (amortization amount), Credit Cash (face value times stated rate).

Bond Issuance Costs

Under ASC 835-30-45, bond issuance costs are presented as a direct deduction from the carrying amount of the bond, similar to a discount. These costs are amortized over the life of the bond using the effective interest method, which reduces the amount of proceeds and increases the effective interest rate.

Bonds Issued Between Interest Dates

When bonds are issued between interest payment dates, the buyer pays the issuer accrued interest from the last interest date to the issuance date. The issuer records this as a credit to Interest Payable (or Interest Expense). On the next interest payment date, the full coupon is paid, effectively reimbursing the buyer for the accrued interest paid at issuance.

Early Extinguishment of Debt

When a bond is retired before maturity, the issuer must recognize any difference between the reacquisition price (the amount paid to retire the bond) and the net carrying amount of the bond as a gain or loss. This gain or loss is reported in the income statement as a component of income from continuing operations.

Exam Preparation Tips

• Always identify whether a bond is issued at a premium or discount by comparing the stated rate to the market rate.
• Under the effective interest method, interest expense changes each period while cash interest remains constant.
• Practice building complete amortization schedules for both premium and discount bonds.
• Remember that bond issuance costs reduce the carrying amount, effectively increasing the interest rate over the bond's life.
• For early extinguishment, calculate the gain or loss as the difference between what you pay and the current carrying value.