Amortize Bond Discounts And Premiums
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CPA Financial Accounting and Reporting (FAR) › Amortize Bond Discounts And Premiums
A for-profit company issued $800,000 of 9% bonds payable at a premium of $24,000 on January 1, 20X1. Interest is paid annually each December 31, and the bonds mature in 6 years. The company uses the straight-line method under U.S. GAAP. Which statement correctly describes the amortization of the bond premium during 20X1?
Premium amortization decreases interest expense and increases the carrying amount of the bonds.
Premium amortization increases interest expense and decreases the carrying amount of the bonds.
Premium amortization is reported as a financing cash inflow and does not affect interest expense.
Premium amortization decreases interest expense and decreases the carrying amount of the bonds.
Explanation
This question tests the conceptual understanding of bond premium amortization effects under U.S. GAAP. The key facts are: bonds issued at a premium, straight-line amortization method, and the need to understand both income statement and balance sheet impacts. Premium amortization reduces interest expense below the stated rate (making the effective rate closer to the market rate) and decreases the carrying amount of bonds toward face value at maturity. ASC 835-30 requires systematic amortization of premiums to adjust interest expense to reflect the effective borrowing rate. Option A incorrectly states that premium amortization increases interest expense. Option C incorrectly states that premium amortization increases the carrying amount when it actually decreases it toward face value. Option D incorrectly treats premium amortization as a cash flow item when it's a non-cash adjustment. Professional judgment requires understanding that premium amortization serves to align reported interest expense with economic reality, reducing the stated rate to approximate the market rate at issuance while systematically reducing the liability to its maturity value.
A governmental entity (governmental activities) issued $2,000,000 of 7% bonds payable at 96 on January 1, 20X1. Interest is paid annually each December 31, and the bonds mature in 10 years. The government uses the straight-line method to amortize the bond discount for government-wide financial statements under U.S. GAAP. What is the carrying amount of the bonds at December 31, 20X1, after recording the first year’s interest and discount amortization?
$1,936,000
$1,920,000
$1,960,000
$1,928,000
Explanation
This question tests the carrying amount of bonds after discount amortization for governmental entities using straight-line method. The key facts are: $2,000,000 bonds issued at 96 creating a $80,000 discount, 10-year term with annual payments, and straight-line amortization for government-wide statements. The annual discount amortization is $80,000 ÷ 10 years = $8,000, increasing the carrying amount from $1,920,000 to $1,928,000 at December 31, 20X1. GASB standards permit straight-line amortization for governmental activities when preparing government-wide financial statements. Option A ($1,920,000) incorrectly shows no amortization. Option C ($1,936,000) incorrectly amortizes $16,000 (perhaps doubling the amount). Option D ($1,960,000) incorrectly amortizes $40,000 (perhaps using 2 years or wrong calculation). When applying professional judgment to governmental bond accounting, remember that government-wide statements follow accrual accounting similar to GAAP, requiring systematic amortization of discounts and premiums over the bond term.
What amount of interest expense should the corporation report for the year ended December 31, Year 1?
$52,165
$60,000
$51,340
$50,000
Explanation
Interest expense under the effective interest method is the carrying amount of the bonds at the beginning of the period multiplied by the market interest rate. The initial carrying amount is $1,043,299 and the market rate is 5%. Interest expense for Year 1 is calculated as: $1,043,299 × 5% = $52,165.
What is the carrying amount of the bonds payable on December 31, Year 1, after the first interest payment?
$1,051,134
$1,035,464
$983,299
$1,043,299
Explanation
First, calculate interest expense and cash interest paid. Interest Expense = Carrying Amount × Market Rate = $1,043,299 × 5% = $52,165. Cash Interest Paid = Face Value × Stated Rate = $1,000,000 × 6% = $60,000. The premium amortization is the difference: $60,000 - $52,165 = $7,835. For a premium bond, the amortization decreases the carrying amount. New Carrying Amount = $1,043,299 - $7,835 = $1,035,464.
When a bond is issued at a discount and the effective interest method is used for amortization, which of the following statements correctly describes the effect over the life of the bond?
The carrying amount of the bond increases, and the periodic interest expense decreases.
The carrying amount of the bond decreases, and the periodic interest expense decreases.
The carrying amount of the bond decreases, and the periodic interest expense increases.
The carrying amount of the bond increases, and the periodic interest expense increases.
Explanation
For a discount bond, the carrying amount starts below face value and increases towards face value at maturity. Since interest expense is calculated as the carrying amount multiplied by the constant effective market rate, as the carrying amount increases each period, the calculated interest expense also increases each period.
What is the amount of interest expense the company should report for the second six-month period ending December 31, Year 1?
$16,000
$14,000
$14,891
$14,927
Explanation
First, calculate the carrying amount after the first payment. Initial CV = $372,277. Interest expense for period 1 = $372,277 × (8%/2) = $14,891. Cash paid = $400,000 × (7%/2) = $14,000. Amortization = $14,891 - $14,000 = $891. CV at June 30 = $372,277 + $891 = $373,168. Interest expense for period 2 is based on this new carrying amount: $373,168 × (8%/2) = $14,927.
A company issues bonds at a discount. When using the effective interest method, the journal entry to record an interest payment and amortization of the discount will include:
A credit to Discount on Bonds Payable.
A debit to Interest Expense for an amount greater than the credit to Cash.
A debit to Interest Expense for an amount less than the credit to Cash.
A debit to Interest Expense equal to the credit to Cash.
Explanation
For a discount bond, interest expense (CV x market rate) is greater than the cash interest paid (face value x stated rate). The journal entry is: Debit Interest Expense (the larger amount), Credit Cash (the smaller amount), and Credit Discount on Bonds Payable for the difference (the amortization). Therefore, the debit to Interest Expense is greater than the credit to Cash.
A corporation issued bonds at a premium. The journal entry to record the first semi-annual interest payment using the effective interest method will include:
A credit to Premium on Bonds Payable.
A debit to Interest Expense that is greater than the cash paid.
A debit to Premium on Bonds Payable.
A credit to Interest Revenue.
Explanation
For a premium bond, interest expense (CV x market rate) is less than the cash interest paid (face value x stated rate). The journal entry is: Debit Interest Expense (the smaller amount), Debit Premium on Bonds Payable for the amortization, and Credit Cash (the larger amount). Therefore, the entry includes a debit to Premium on Bonds Payable.
What amount of interest expense should the company report for Year 1?
$21,000
$1,500
$19,500
$22,500
Explanation
Under the straight-line method, an equal amount of discount is amortized each period. The total discount is $300,000 (face value) - $285,000 (issue price) = $15,000. The annual amortization is $15,000 / 10 years = $1,500. The annual cash interest payment is $300,000 × 7% = $21,000. Total interest expense is the sum of cash interest and discount amortization: $21,000 + $1,500 = $22,500.
Over the entire life of a bond issued at a discount, the total interest expense recognized by the issuer will be:
Less than the total cash interest paid to bondholders.
Greater than the total cash interest paid to bondholders.
Equal to the total cash interest paid to bondholders.
Equal to the face value of the bonds.
Explanation
The total interest expense over the life of a bond is the total cash paid plus any discount or minus any premium. For a discount bond, the company received less cash at issuance than it will pay back at maturity. This difference (the discount) represents additional interest cost. Therefore, Total Interest Expense = Total Cash Paid + Bond Discount.