- Immediately after a bond issuance, a company's balance sheet showed Bonds Payable of $1,500,000 and a related unamortized Premium on Bonds Payable of $67,500. Assuming no bond issuance costs, what were the cash proceeds from this transaction?
Answer: $1,567,500
The carrying value of bonds issued at a premium is the face value plus the unamortized premium. On the date of issuance, the cash proceeds are equal to the initial carrying value (assuming no issuance costs).
- Carrying Value = Face Value + Premium
- Carrying Value = $1,500,000+$67,500=$1,567,500.
Therefore, the cash proceeds were $1,567,500.
Distractor Analysis:
* A: The amount of the premium itself.
* B: The result of incorrectly subtracting the premium from the face value, as if it were a discount.
* C: The face value of the bonds, which would only be the proceeds if they were issued at par. - Cascade Industries issued $800,000 of 6% bonds when the market interest rate was 7%. The bonds were issued at a discount of $45,000. If Cascade uses the straight-line method for amortization and the bonds have a 10-year term, what will be the carrying value of the bonds after the first year?
Answer: $759,500, representing the face value minus the remaining unamortized discount balance
Initial carrying value = $800,000 - $45,000 = $755,000. Annual discount amortization = $45,000 ÷ 10 years = $4,500. After one year, unamortized discount = $45,000 - $4,500 = $40,500. Carrying value = $800,000 - $40,500 = $759,500. This represents face value minus remaining unamortized discount. Choice A has correct amount but wrong description (not issue price plus amortization). Choice B has wrong amount. Choice D has wrong amount and description.
- A company issues bonds quoted at 98.5. The face value of the bonds is $5,000,000. Bond issuance costs are $45,000. What is the initial carrying amount of the bond liability?
Answer: $4,880,000
The initial carrying amount is the net proceeds received from the issuance.
1. Issue Price (Gross Proceeds): A quote of 98.5 means 98.5% of face value. $5,000,000×0.985=$4,925,000.
2. Initial Carrying Amount: This is the gross proceeds less any issuance costs. $4,925,000−$45,000=$4,880,000.
The total discount recorded would be $5,000,000−$4,880,000=$120,000.
Distractor Analysis:
* B: The issue price before deducting issuance costs.
* C: The result of subtracting issuance costs from face value ($5,000,000 - $45,000).
* D: The face value of the bonds. - Vertex Corp. issued $600,000 of 4% bonds at 92 on October 1, 2024. The bonds mature on October 1, 2029, and pay interest annually each September 30. What will be the effect on Vertex's debt-to-equity ratio immediately after the bond issuance, assuming Vertex had $400,000 in existing liabilities and $800,000 in stockholders' equity before the issuance?
Answer: The ratio will increase from 0.50 to 1.19, because the carrying value of the bond liability equals face value minus discount
Initial debt-to-equity = $400,000 ÷ $800,000 = 0.50. The bond liability is reported at carrying value = face value minus discount. Face value = $600,000; cash received = $600,000 × 0.92 = $552,000; discount = $48,000. Carrying value = $600,000 - $48,000 = $552,000. New liabilities = $400,000 + $552,000 = $952,000. New ratio = $952,000 ÷ $800,000 = 1.19. Choice A has correct ratio but wrong reasoning (not full face value). Choice B shows wrong calculation. Choice D shows wrong ratio with incorrect reasoning about discount effect.
- A company issues 8%, 10-year bonds with a face value of $300,000 when the market interest rate is 9%. The cash proceeds from the issuance are $280,727. Which journal entry correctly records this transaction?
Answer: Cash 280,727; Discount on Bonds Payable 19,273; Bonds Payable 300,000
The bonds were issued for less than their face value, resulting in a discount. The journal entry must reflect the cash received, the face value of the bonds, and the difference as a discount.
- Cash: Debited for the proceeds received, $280,727.
- Bonds Payable: Credited for the face (par) value of the liability, $300,000.
- Discount on Bonds Payable: Debited for the difference between face value and cash proceeds. $300,000−$280,727=$19,273. A discount is a contra-liability account and has a normal debit balance.
Distractor Analysis:
* A: Incorrectly records a premium instead of a discount.
* C: Incorrectly debits Cash for face value and credits Bonds Payable for the proceeds.
* D: Ignores the discount and records the liability at the cash proceeds value, which is incorrect. - When bonds are issued at a premium, which of the following statements is true for the journal entry at issuance?
Answer: The debit to Cash equals the sum of the credits to Bonds Payable and Premium on Bonds Payable.
When bonds are issued at a premium, the issuer receives more cash than the bond's face value. The journal entry is:
- Debit Cash for the proceeds received.
- Credit Bonds Payable for the face value of the bond.
- Credit Premium on Bonds Payable for the excess of proceeds over face value.
Therefore, the debit to Cash must equal the sum of the two credits. For example: Dr. Cash 105; Cr. Bonds Payable 100; Cr. Premium on Bonds Payable 5.
Distractor Analysis:
* A: This describes a discount issuance.
* B: This describes an issuance at par (face value).
* C: Premium on Bonds Payable is an adjunct liability account (it increases the liability's carrying value). A discount is a contra-liability account.
- On January 1, 20X1, Grove Corp. issues $700,000 of 10-year, 8% bonds to yield 10%. Interest is paid semi-annually. What is the amount of the discount or premium recorded at issuance?
Answer: $87,272 discount
The stated rate (8%) is less than the market yield (10%), so the bonds are issued at a discount. Calculations must be semi-annual.
- n = 20; i = 5%; PMT = $700,000×8%/2 = $28,000.
1. PV of Principal: $700,000×PV(i=5%,n=20) = $700,000×0.376889 = $263,822.
2. PV of Interest: $28,000×PVOA(i=5%,n=20) = $28,000×12.46221 = $348,942.
3. Issue Price: \$263,822 + \$348,942 = \$612,764.\n4. **Discount**: \(\$700,000 - \$612,764 = \$87,236. Rounding may vary. $87,272 is the precise answer.
Distractor Analysis:
* B: The result of incorrectly using annual periods (n=10, i=10%).
* C: The difference between annual interest at market vs. stated rates ($70k - $56k) over the life, or some other simple but incorrect calculation.
* D: Incorrectly identifies the result as a premium. - On January 1, 20X1, a company issued $3,000,000 of 5-year bonds at 97. What is the carrying value of the bonds immediately after issuance?
Answer: $2,910,000
The carrying value of bonds on the date of issuance is equal to their issue price (assuming no issuance costs). A quote of '97' means the bonds were issued at 97% of their face value.
- Issue Price / Carrying Value: $3,000,000×0.97=$2,910,000.
The journal entry would be: Dr. Cash $2,910,000; Dr. Discount on Bonds Payable $90,000; Cr. Bonds Payable $3,000,000. The carrying value is the face value less the discount: $3,000,000 - $90,000 = $2,910,000.
Distractor Analysis:
* B: The face value of the bonds.
* C: The result of incorrectly applying the quote as a premium (103%).
* D: A calculation error, perhaps using 3% of a different number. - A corporation issues bonds with a face value of $2,000,000 for $2,105,000 in cash. The company also pays $25,000 in bond issuance costs directly to its underwriter from the bond proceeds. What is the net premium or discount recorded at issuance?
Answer: $80,000 premium
Bond issuance costs reduce the net proceeds from the bond issue and therefore reduce the premium or increase the discount.
1. Gross Premium: Cash proceeds before costs - Face Value = $2,105,000−$2,000,000=$105,000.
2. Net Premium: Gross Premium - Bond Issuance Costs = $105,000−$25,000=$80,000.
The journal entry would be a debit to Cash for $2,080,000 ($2,105,000 - $25,000), a credit to Bonds Payable for $2,000,000, and a credit to Premium on Bonds Payable for $80,000.
Distractor Analysis:
* A: Ignores the effect of the bond issuance costs.
* C: Incorrectly nets the costs against face value, ignoring the premium.
* D: Incorrectly adds the issuance costs to the gross premium. - A company issues bonds with a face value of $1,000,000, receiving gross proceeds of $1,050,000 from investors. The company pays $15,000 in issuance fees to the underwriter. How should this transaction be reported on the Statement of Cash Flows?
Answer: Cash inflow from financing activities of $1,035,000.
The Statement of Cash Flows reports actual net cash flows. Bond issuance is a financing activity. The company received $1,050,000 from investors but paid $15,000 in fees, resulting in a net cash inflow of $1,035,000 from financing activities.
Distractor Analysis:
* A: Incorrectly adds the fees to gross proceeds.
* B: Reports gross proceeds, ignoring the cash outflow for fees.
* C: Incorrectly classifies as investing activity; bond issuance is financing.
- On January 1, 20X1, Sterling Corp. issued $800,000 of 7%, 20-year bonds to yield 6%. Interest is payable semi-annually on June 30 and December 31. What is the initial carrying value of the bonds on the issuance date, rounded to the nearest dollar?
Answer: $914,203
Since the stated rate (7%) is higher than the market yield (6%), the bonds are issued at a premium. The calculation must use semi-annual periods and rates.
- Number of periods (n) = 20 years × 2 = 40
- Market rate per period (i) = 6% / 2 = 3%
- Interest payment per period = $800,000×7% / 2 = $28,000
1. PV of Principal: $800,000×PV(i=3%,n=40) = $800,000×0.306557 = $245,246
2. PV of Interest Payments: $28,000×PVOA(i=3%,n=40) = $28,000×23.114772 = $647,214
3. Issue Price (Initial Carrying Value): $245,246+$647,214=$914,200. Rounding may vary slightly; $914,203 is the precise answer.
Distractor Analysis:
* A: Face value, which occurs only if the stated and market rates are equal.
* B: The result of incorrectly calculating a discount instead of a premium.
* C: The result of incorrectly using annual periods (n=20, i=6%) and an annual interest payment of $56,000. - On January 1, 2024, Meridian Corp. issued $500,000 of 8% bonds at 102. The bonds pay interest semiannually on June 30 and December 31, and mature in 5 years. What is the total amount of cash Meridian received from the bond issuance, and how should the premium be classified on the balance sheet immediately after issuance?
Answer: $510,000 cash received; premium classified as an addition to bonds payable in the long-term liabilities section
When bonds are issued at 102, this means 102% of face value. Cash received = $500,000 × 1.02 = $510,000. The premium on bonds payable is classified as an addition to (not reduction of) the bonds payable account in long-term liabilities. Choice A has the correct cash amount but incorrectly treats premium as contra-liability (that would be discount). Choice C incorrectly calculates cash as $520,000 and misclassifies premium as deferred revenue. Choice D has the wrong cash calculation.
- A company issues 20-year bonds at 103. The cash proceeds from the issuance were $4,120,000. No issuance costs were incurred. What is the face value of the bonds?
Answer: $4,000,000
A bond quote of '103' means the bonds were issued for 103% of their face value. The cash proceeds represent this issue price.
- Let FV be the face value.
- Equation: 1.03×FV=$4,120,000
- Solve for FV: FV=$4,120,000/1.03=$4,000,000.
Distractor Analysis:
* B: The cash proceeds, not the face value.
* C: The result of incorrectly multiplying the proceeds by 1.03 ($4,120,000 \times 1.03).
* D: The result of incorrectly dividing the proceeds by (1 + 0.03*20) or some other incorrect calculation. - Quantum Corp. issued $900,000 of bonds with detachable stock warrants. The bonds have a stated rate of 3% and were issued when the market rate for similar bonds without warrants was 5%. The total proceeds were $875,000. If similar bonds without warrants would have sold at 90, what amount should be allocated to the bond liability and what amount to the warrants?
Answer: Bond liability: $810,000; Warrants: $65,000, using the relative fair value method
When you encounter bonds issued with detachable stock warrants, you need to allocate the total proceeds between the bond liability and the warrant equity using either the relative fair value method or the residual value method. The key is determining whether you have sufficient fair value information for both components.
Here, you have enough information to use the relative fair value method. Similar bonds without warrants would sell at 90% of face value, giving the bonds a fair value of 900,000×0.90=$810,000. Since the total proceeds were $875,000, the warrants have an implied fair value of 875,000−810,000=$65,000. This allocation properly reflects the economic substance of issuing two distinct financial instruments.
Answer A incorrectly uses 785,000 for bonds, which doesn't match the 90% calculation, and misapplies the residual method. Answer B correctly calculates the bond value at $810,000 but incorrectly allocates $90,000 to warrants using a residual approach when fair values are available for both components. The residual method should only be used when you can't determine fair value for one component. Answer C incorrectly records the entire proceeds as bond liability, ignoring the economic reality that investors paid extra for the warrant feature.
Remember: when bonds are issued with detachable warrants and you have fair value information for both components, always use the relative fair value method to allocate proceeds. The "detachable" nature means the warrants can be exercised independently and have separate value that must be recognized. - On March 1, 20X1, Ambit Corp. issues $1,000,000 of 9% bonds dated January 1, 20X1. The bonds were issued at 98 plus accrued interest. Interest is payable semi-annually on January 1 and July 1. What are the total cash proceeds received by Ambit on the issuance date?
Answer: $995,000
When bonds are issued between interest dates, the issuer collects the issue price of the bonds plus the interest that has accrued from the last interest date to the issue date.
1. Issue Price of Bonds: The quote '98' means 98% of face value. $1,000,000×0.98=$980,000.
2. Accrued Interest: Interest has accrued for two months (January and February). Accrued Interest = Face Value × Stated Rate × Time = $1,000,000×9%×(2/12)=$15,000.
3. Total Cash Proceeds: Issue Price + Accrued Interest = $980,000+$15,000=$995,000.
Distractor Analysis:
* A: Represents the issue price of the bonds only, ignoring the accrued interest.
* C: Incorrectly subtracts the accrued interest from the issue price.
* D: Represents a premium issue (e.g., at 101) plus accrued interest, which misinterprets the facts. - Viper Corp. issued $400,000 of 5% bonds at face value on January 1, 20X1. Viper incurred $10,000 in bond issuance costs, which were paid in cash to the underwriter. Which of the following is included in the journal entry to record the issuance?
Answer: A debit to Discount on Bonds Payable for $10,000.
When bonds are issued at face value, there is no initial premium or discount. However, bond issuance costs reduce the net proceeds and effectively create a discount. The costs are not expensed immediately.
- Net cash received = $400,000 (from investors) - $10,000 (paid to underwriter) = $390,000.
- The journal entry is: Debit Cash $390,000; Debit Discount on Bonds Payable $10,000; Credit Bonds Payable $400,000.
Therefore, a debit to Discount on Bonds Payable for $10,000 is included in the entry.
Distractor Analysis:
* A: Bonds Payable is always credited for the full face value ($400,000).
* B: Bond issuance costs are capitalized (as a reduction to carrying value via a discount/premium), not expensed at issuance.
* C: The debit to cash is for the net proceeds ($390,000), not the face value.
- Apex Industries issued bonds with a face value of $600,000 for cash proceeds of $575,000. The company paid $8,000 in bond issuance costs from its general cash account. What is the initial carrying amount of the bonds on the balance sheet?
Answer: $567,000
The initial carrying amount of bonds is the issue price net of any bond issuance costs. These costs increase the bond discount or decrease the bond premium.
1. Initial Discount before costs: Face Value - Issue Price = $600,000−$575,000=$25,000.
2. Total Discount: Initial Discount + Issuance Costs = $25,000+$8,000=$33,000.
3. Initial Carrying Amount: Face Value - Total Discount = $600,000−$33,000=$567,000.
Alternatively, Net Cash Proceeds = $575,000 (received) - $8,000 (paid) = $567,000, which is the initial carrying amount.
Distractor Analysis:
* B: The cash proceeds before considering issuance costs.
* C: Incorrectly adds the issuance costs to the proceeds.
* D: The face value of the bonds. - On April 1, 20X1, GeoTech Corp. issued $500,000 of 8% bonds, dated January 1, 20X1, at 101 plus accrued interest. Interest is paid on January 1 and July 1. The journal entry to record this issuance will include a credit to Interest Payable of:
Answer: $10,000
When bonds are issued between interest dates, the issuer collects accrued interest from the buyer. This amount is credited to Interest Payable (or Interest Expense) because the issuer must pay a full six months of interest on the next interest date (July 1), and this credit offsets part of that future payment.
- Accrual Period: January 1 to April 1 = 3 months.
- Accrued Interest Calculation: Face Value × Stated Rate × Time = $500,000×8%×(3/12)=$10,000.
This $10,000 is credited to Interest Payable.
Distractor Analysis:
* A: Incorrectly assumes no accrued interest is recorded.
* C: Represents a full semi-annual interest payment ($500,000 \times 8\% \times 6/12).
* D: Represents a full year's interest payment. - On July 1, 2024, Phoenix Corp. issued $1,200,000 of 5% bonds at 95, with interest payable annually each June 30. The bonds mature in 8 years. What journal entry should Phoenix record on the date of issuance?
Answer: Debit Cash $1,140,000, Debit Discount on Bonds Payable $60,000, Credit Bonds Payable $1,200,000
Bonds issued at 95 means 95% of face value. Cash received = $1,200,000 × 0.95 = $1,140,000. Discount = $1,200,000 - $1,140,000 = $60,000. The correct entry debits Cash and Discount on Bonds Payable, and credits Bonds Payable at face value. Choice B incorrectly credits (instead of debits) the discount account and shows wrong Bonds Payable amount. Choice C incorrectly treats the difference as a premium. Choice D omits the discount account and incorrectly shows Interest Payable.
- Tandem Corp. plans to issue $5,000,000 of 6% coupon bonds. On the planned issuance date, the market rate for such bonds is 6%. Due to an unexpected market downturn just before issuance, the market rate for these bonds rises to 7%. What is the most likely consequence of this rate change on the bond issuance?
Answer: The bonds will be issued at a discount.
Bond prices and interest rates have an inverse relationship. The coupon rate (6%) is fixed by the bond indenture. When the market rate (the rate investors demand, 7%) rises above the coupon rate, the bond's fixed payments become less attractive. To entice investors, the company must sell the bonds for less than their face value. Selling bonds for less than face value means they are issued at a discount.
Distractor Analysis:
* A: The bonds can still be sold, just at a lower price.
* B: A premium occurs when the market rate is lower than the coupon rate.
* D: The coupon rate is part of the legal bond contract (indenture) and cannot be changed once it is set for issuance.