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Effective Interest Amortization On January 1, 2018, Ranier, Inc., issued \(\$ 300,000\) of ten percent, 15 -year bonds for \(\$ 351,876\), yielding an effective interest rate of eight percent. Semiannual interest is payable on June 30 and December 31 each year. The firm uses the effective interest method to amortize the premium. Required a. Prepare an amortization schedule showing the necessary information for the first two interest periods. Round amounts to the nearest dollar. b. Prepare the journal entry for the bond issuance on January 1, \(2018 .\) c. Prepare the journal entry to record the bond interest payment and premium amortization at June 30 . d. Prepare the journal entry to record the bond interest payment and premium amortization at December 31 .

Short Answer

Expert verified
The bond issuance entry debits cash, and the semiannual payments are \(15,000\) with effective interest of \(14,075\) for June and \(14,038\) for December.

Step by step solution

01

Bond Issuance Journal Entry

On January 1, 2018, when the bonds are issued, we need to record the bond issuance at the selling price of \(\\( 351,876\). This includes a premium of \(\\) 51,876\) over the face value. The journal entry will debit Cash for \(\\( 351,876\), credit Bonds Payable for \(\\) 300,000\), and credit Premium on Bonds Payable for \(\$ 51,876\).
02

Calculate Semiannual Interest Payment

The bond pays a semiannual interest: \( 10\% \) of \( \\( 300,000 \) annual interest is \( \\) 30,000 \). Therefore, semiannual interest payment is \( \frac{\\( 30,000}{2} = \\) 15,000 \).
03

Calculate Effective Interest

Using the effective interest rate of \(8\%\) with a semiannual rate of \(\frac{8\%}{2} = 4\%\), we calculate effective interest for the first period on the carrying amount (\(\\( 351,876\)) as: \(4\% \times \\) 351,876 = \$ 14,075\).
04

Premium Amortization Calculation

The premium amortized in the first period: \(\\( 15,000 \text{ (cash paid)} - \\) 14,075 \text{ (effective interest)} = \$ 925\).
05

Adjust Carrying Amount

After payment on June 30, the carrying amount is updated: \(\\( 351,876 - \\) 925 = \\( 350,951\). The effective interest on this new carrying amount for the next period is calculated as \(4\% \times \\) 350,951 = \$ 14,038\).
06

Journal Entry for June 30

The journal entry for June 30 includes: Debit Interest Expense \(\\( 14,075\), Debit Premium on Bonds Payable \(\\) 925\), Credit Cash \(\$ 15,000\).
07

Journal Entry for December 31

For December 31, with new effective interest \(\\( 14,038\): Debit Interest Expense \(\\) 14,038\), Debit Premium on Bonds Payable \(\\( 962\) (since \(\\) 15,000 - \\( 14,038\)), Credit Cash \(\\) 15,000\).
08

Amortization Schedule

Construct the amortization schedule:| Period | Cash Paid | Interest Expense | Premium Amortization | Carrying Amount ||--------|-----------|------------------|---------------------|----------------|| 1 | \\(15,000 | \\)14,075 | \\(925 | \\)350,951 || 2 | \\(15,000 | \\)14,038 | \\(962 | \\)349,989 |

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Journal Entries
Journal entries are fundamental in recording financial transactions. When it comes to bonds, detailing the financial movements allows for transparent accounting. For example, when Ranier, Inc. issued its bonds, a few specific entries had to be recorded.
Upon bond issuance, the initial entry reflects the receipt of cash and notes any bond premium or discount. Here, when the bonds were issued at \( \\(351,876\), Ranier recorded a debit to Cash for this amount, indicating the cash inflow. Bonds Payable was credited \( \\)300,000\), the face value of the bonds. The excess cash received of \( \$51,876\) was credited to Premium on Bonds Payable, showing the additional amount over the face value that the issuer received.
Journal entries also track interest payments and amortization of any bond premium over time, carefully charting the financial progression of the bond’s life.
Bond Issuance
Bond issuance refers to the process by which a company, like Ranier, Inc., raises funds by offering bonds to investors. This issuance is critical because it determines how much money the company will have for its various operations and projects.
The terms of a bond issuance typically include the face value of the bonds, the interest rate, and the duration until maturity. In the case of Ranier, the bonds had a face value of \( \\(300,000\) and an interest rate of \10\%\, spanning 15 years. However, these bonds were issued at a premium, meaning they were sold for more than their face value \( \\)351,876\), due to the market perceiving them as more valuable.
Issuing bonds at a premium affects how much interest expense will be recorded and how the additional premium will be amortized over time, impacting the company's financial statements.
Interest Calculation
Interest calculation is crucial in managing bonds, as it determines the expense recognized in each period. There are different interest rates to consider: the contractual (stated) interest rate and the effective interest rate.
Ranier's bonds had a contractual rate of \10\%\, leading to a semiannual interest payment of \( \\(15,000\) \((\\)300,000 \times \frac{10\%}{2})\), which the company paid to bondholders biannually. However, the focus here is on effective interest, which reflects the true cost of debt at the market rate when the bonds were issued.
Using an effective interest rate of \8\%\ (or \4\%\ semiannually), this rate is applied to the carrying value of the bond to calculate interest expense over time, which starts at \( \\(14,075\) \((\\)351,876 \times 4\%)\) for the first period. This method showcases a more accurate picture of interest cost over the life of the bond.
Premium Amortization
Premium amortization is the systematic reduction of a bond’s premium over its life, according to a method like the effective interest method. This process brings down the premium, aligning the book value of the bond closer to its face value by maturity.
In Ranier's bonds, premium amortization is essential since they were sold at a premium of \( \\(51,876\). The difference between the semiannual interest payment (\\)15,000) and the effective interest expense (\\(14,075) is the premium amortization for the period \((\\)925)\), which decreases the carrying amount of the bond.
For subsequent periods, the carrying amount and the premium amortized differ based on the new interest calculations. Hence, after each period, both the carrying value and the interest expense change, allowing the remaining premium to be amortized more precisely, ensuring accurate financial representation over time.

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Most popular questions from this chapter

Jack Swanson gave a creditor a 90 -day, eight percent note payable for \(\$ 7,200\) on December 16. What adjusting entry should Swanson make on December 31 ?

Issue Price of a Bond Atlantic, Inc., plans to issue \(\$ 700,000\) of nine percent bonds that will pay interest semiannually and mature in ten years. Assume that the effective interest is eight percent per year compounded semiannually. Calculate the selling price of the bonds.

Adjusting Entries for Interest At December 31, 2017, Seattle Corporation had two notes payable outstanding (notes 1 and 2). At December 31,2018 , Seattle also had two notes payable outstanding (notes 3 and 4 ). These notes are described below. \begin{tabular}{lrrrr} & Date of Note & Principal Amount & Interest Rate & Number of Days \\ December 31,2017 & & & & \\ Note \(1 \ldots \ldots \ldots \ldots \ldots \ldots \ldots\) & \(11 / 25 / 2017\) & \(\$ 35,000\) & \(8 \%\) & 90 \\ Note \(2 \ldots \ldots \ldots \ldots \ldots \ldots\) & \(12 / 16 / 2017\) & 16,800 & 10 & 60 \\ December 31, 2018 & & & & \\ Note \(3 \ldots \ldots \ldots \ldots \ldots \ldots \ldots\) & \(12 / 11 / 2018\) & 15,400 & 9 & 120 \\ Note \(4 \ldots \ldots \ldots \ldots \ldots \ldots\) & \(12 / 7 / 2018\) & 20,000 & 12 & 90 \\ \hline \end{tabular} Required a. Prepare the adjusting entries for interest at December \(31,2017 .\) b. Assume that the adjusting entries were made at December 31,2017 , and that no adjusting entries were made during 2018 . Prepare the 2018 journal entries to record payment of the notes that were outstanding at December \(31,2017 .\) c. Prepare the adjusting entries for interest at December 31,2018 .

Bonds Payable Journal Entries; Straight-Line Interest Amortization On December 31, 2017, Tan Company issued \(\$ 400,000\) of ten-year, 12 percent bonds payable for \(\$ 449,849\), yielding an effective interest rate of ten percent. Interest is payable semiannually on June 30 and December 31 . Prepare journal entries to reflect (a) the issuance of the bonds, (b) the semiannual interest payment and premium amortization (straight-line interest method) on June 30,2018 , and (c) the semiannual interest payment and premium amortization on December 31,2018 . Round amounts to the nearest dollar.

Effective Interest Amortization On December 31, Casper, Inc., issued \(\$ 300,000\) of eight percent, ten-year bonds for \(\$ 262,613\), yielding an effective interest rate of ten percent. Semiannual interest is payable on June 30 and December 31 each year. The firm uses the effective interest method to amortize the discount. Required a. Prepare an amortization schedule showing the necessary information for the first two interest periods. Round amounts to the nearest dollar. b. Prepare the journal entry for the bond issuance on December 31 . c. Prepare the journal entry to record the bond interest payment and discount amortization at June 30 of the following year. d. Prepare the journal entry to record the bond interest payment and discount amortization at December 31 of the following year.

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