- A 10-year bond was issued on January 1, Year 1, at a discount. Just before the final interest payment on December 31, Year 10, the carrying value of the bond payable will be:
Answer: Less than the face value of the bond.
The carrying value of a discount bond increases over its life through amortization of the discount. Just before the final interest payment, there is still a small amount of unamortized discount remaining, so the carrying value is still less than the face value. The carrying value equals the face value only after the final interest payment and discount amortization, at the moment of maturity.
- Which of the following is the most likely explanation for the increase in carrying value?
Answer: The bonds were issued at a discount, and the discount is being amortized.
The carrying value of a bond increases over time only when it is issued at a discount. The amortization of the discount increases the carrying value each period, moving it from the initial issue price toward the face value at maturity. Amortization of a premium causes the carrying value to decrease.
- A company issues bonds at a premium. Which of the following statements accurately describes the relationship between total interest expense and total cash interest payments over the life of the bonds?
Answer: Total interest expense will be less than the total cash interest paid.
The total interest expense over the life of a bond is the total cash paid plus any discount or minus any premium. For a premium bond, the company received more cash at issuance than it will pay back at maturity. This difference (the premium) is a reduction of the total interest cost. Therefore, Total Interest Expense = Total Cash Paid - Bond Premium.
- 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:
Answer: A debit to Premium on Bonds Payable.
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 is the carrying amount of the bonds payable on June 30, Year 1, after the first interest payment?
Answer: $439,573
First, calculate interest expense and cash interest paid. Interest Expense = Carrying Amount × Market Rate = $437,689 × (10%/2) = $21,884. Cash Interest Paid = Face Value × Stated Rate = $500,000 × (8%/2) = $20,000. The discount amortization is the difference: $21,884 - $20,000 = $1,884. For a discount bond, the amortization increases the carrying amount. New Carrying Amount = $437,689 + $1,884 = $439,573.
- What amount of interest expense should the corporation report for the year ended December 31, Year 1?
Answer: $52,165
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.
- For a bond issued at a premium, the periodic interest expense recognized under the effective interest method is:
Answer: Less than the cash interest paid for that period.
When a bond is issued at a premium, the stated interest rate is higher than the market interest rate. The cash interest paid is based on the higher stated rate, while the interest expense is based on the lower market rate applied to the carrying value. Therefore, interest expense is always less than the cash interest paid, and the difference is the premium amortization.
- What is the amount of interest expense the company should report for the first six months ending June 30, Year 1?
Answer: $21,884
Under the effective interest method, interest expense is calculated by multiplying the bond's carrying amount at the beginning of the period by the effective (market) interest rate for that period. The semi-annual market rate is 10% / 2 = 5%. The initial carrying amount is the issue price of $437,689. Therefore, interest expense for the first six months is $437,689 × 5% = $21,884.
- 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?
Answer: $1,928,000
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 is the carrying amount of the bonds payable on December 31, Year 1, after the first interest payment?
Answer: $1,035,464
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.
- Which of the following statements is true regarding the effective interest method of amortizing a bond premium or discount?
Answer: It applies a constant interest rate to the carrying amount of the debt at the beginning of the period.
The defining characteristic of the effective interest method is that it calculates interest expense by applying a constant effective interest rate (the market rate at issuance) to the carrying amount of the bond, which changes each period. This results in a changing amount of interest expense and amortization each period.
- What is the carrying amount of the bonds on December 31, Year 1?
Answer: $531,312
First, calculate the carrying value at June 30, Y1. Interest Expense = $533,980 × 3.5% = $18,689. Cash Paid = $500,000 × 4% = $20,000. Amortization = $1,311. CV at June 30 = $533,980 - $1,311 = $532,669. Next, calculate for Dec 31, Y1. Interest Expense = $532,669 × 3.5% = $18,643. Cash Paid = $20,000. Amortization = $1,357. CV at Dec 31 = $532,669 - $1,357 = $531,312.
- When a bond is issued at a premium and the effective interest method is used, how do the carrying amount of the bond and the periodic interest expense change over the life of the bond?
Answer: Carrying amount decreases; Interest expense decreases.
For a premium bond, the carrying amount starts above face value and decreases towards face value at maturity. Interest expense is calculated as the carrying amount multiplied by the constant effective market rate. As the carrying amount decreases each period, the calculated interest expense also decreases each period.
- What is the total amount of interest expense that will be recognized over the 10-year life of the bonds?
Answer: $680,000
Total interest expense over the life of a bond is the sum of all cash interest payments plus the bond discount. Total cash payments = Face Value × Stated Rate × Term = $1,000,000 × 6% × 10 = $600,000. The bond discount is Face Value - Issue Price = $1,000,000 - $920,000 = $80,000. Total Interest Expense = $600,000 + $80,000 = $680,000.
- What is the amount of interest expense the company should report for the second six-month period ending December 31, Year 1?
Answer: $14,927
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.
- Vortex Corp. issued $800,000 of 10-year, 7% bonds at 104.5 on April 1, Year 1. Interest is payable semiannually on April 1 and October 1. The company's fiscal year ends December 31. Using straight-line amortization, what amounts should be reported for bonds payable and accrued interest payable on the December 31, Year 2 balance sheet?
Answer: Bonds payable: $830,600; Accrued interest: $14,000
Issue price: $800,000 × 1.045 = $836,000. Premium: $36,000. Straight-line amortization over 10 years (20 periods): $36,000 ÷ 20 = $1,800 per period. From April 1, Year 1 to December 31, Year 2 = 21 months = 3.5 semiannual periods. However, only complete periods count for amortization: 3 full periods by October 1, Year 2. Carrying amount at December 31, Year 2: $836,000 - (3 × $1,800) = $830,600. Accrued interest from October 1 to December 31 (3 months): $800,000 × 7% × 3/12 = $14,000. Choice B incorrectly includes partial period amortization. Choices C and D use 6 months of accrued interest instead of 3 months.
- A not-for-profit organization issued $750,000 of 7% bonds payable at a premium of $15,000 on January 1, 20X1. Interest is paid semiannually each June 30 and December 31, and the bonds mature in 10 years. The organization uses the straight-line method under U.S. GAAP. What is the effect of bond premium amortization on interest expense for the six-month period ended June 30, 20X1?
Answer: Interest expense decreases by $750 because premium amortization reduces interest expense.
This question tests the effect of bond premium amortization on interest expense with semiannual payments. The key facts are: $750,000 bonds with $15,000 premium, 7% stated rate, semiannual payments, 10-year term (20 periods), and straight-line method. Under straight-line, semiannual premium amortization is $15,000 ÷ 20 periods = $750, which reduces interest expense for each six-month period. ASC 835-30 requires premium amortization to reduce interest expense, bringing the effective rate below the stated rate. Option A incorrectly states premium amortization increases interest expense. Option C incorrectly doubles the amortization amount and suggests recording a full year at interim. Option D incorrectly states premium amortization doesn't affect interest expense. When applying professional judgment to bonds with frequent payment schedules, ensure the amortization period count matches the payment frequency (semiannual = 2 per year) and that premium amortization consistently reduces reported interest expense each period.
- What is the total amount of interest expense that will be recognized over the 5-year life of the bonds?
Answer: $179,000
Total interest expense over the life of a bond is the sum of all cash interest payments minus the bond premium. Total cash payments = Face Value × Stated Rate × Term = $500,000 × 8% × 5 = $200,000. The bond premium is Issue Price - Face Value = $521,000 - $500,000 = $21,000. Total Interest Expense = $200,000 - $21,000 = $179,000.
- What is the amount of interest expense the company should report for the second six-month period ending December 31, Year 1?
Answer: $6,467
First, calculate the carrying amount after the first payment. Initial CV = $217,060. Interest expense for period 1 = $217,060 × (6%/2) = $6,512. Cash paid = $200,000 × (8%/2) = $8,000. Amortization = $8,000 - $6,512 = $1,488. CV at June 30 = $217,060 - $1,488 = $215,572. Interest expense for period 2 is based on this new carrying amount: $215,572 × (6%/2) = $6,467.
- A company issues bonds and incurs $10,000 in bond issuance costs. How should these costs be accounted for under U.S. GAAP?
Answer: Recorded as a direct reduction to the carrying amount of the bonds.
Under U.S. GAAP, bond issuance costs are not treated as a separate asset. Instead, they are netted against the bond proceeds. This means they are recorded as a direct reduction to the carrying amount of the bond liability, effectively increasing a discount or decreasing a premium. These costs are then amortized as an adjustment to interest expense over the life of the bond.
