On December 31, 2018, when the market interest rate is 8%, Arnold Corporation issues $200,000 of 6%, 10 year-bonds payable. The bonds pay interest semiannually. Determine the present value of the bonds at issuance.

Short Answer

Expert verified

the present value of the bonds at issuance is $216,652.

Step by step solution

01

Definition of the bonds

A bond is a type of long-Term liability that the company issues to fulfill its money needs.

02

Present value of bonds

To find the pesent of the bonds, first of all, the present value of the principal is calculated

PresentValueofPrincipal=Value×PVfactorofi=4%,n=20=$200,00×0.67556=$135,112

Hence, the present value of the principal is $135,112

PresentValueofInterest=Value×SemiannualInterestRate×PVfactorPVA,i=4%,n=20=$200,000×3%×13.59=$81,540

Hence, the present value of the principal is $81,540

Now the present value of the bonds is calculated by adding the present value of principal and interest

PresentValueofBonds=PVofPrincipal+PVofInterest=$135,112+$81,540=$216,652

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

When a bond is issued, what is its present value?

Analyzing and journalizing bondtransactions

On January1, 2018, Doctors Credit Union (DCU) issued 7%, 20-year bondspayable with face value of $200,000. The bonds pay interest on June 30 andDecember 31.

Requirements

1. If the market interest rate is 5% when DCU issues its bonds, will the bonds bepriced at face value, at a premium, or at a discount? Explain.

2. If the market interest rate is 8% when DCU issues its bonds, will the bonds bepriced at face value, at a premium, or at a discount? Explain.

3. The issue price of the bonds is 93. Journalize the following bond transactions:

a. Issuance of the bonds on January 1, 2018.

b. Payment of interest and amortization on June 30, 2018.

c. Payment of interest and amortization on December 31, 2018.

d. Retirement of the bond at maturity on December 31, 2037, assuming the lastinterest payment has already been recorded.

Determine whether the following bonds payable will be issued at face value, at a premium, or at a discount:

3. A 10% bonds payable is issued when the market interest rate is 8%.

4. A 10% bonds payable is issued when the market interest rate is 10%.

5. A 10% bonds payable is issued when the market interest rate is 12%.

Analyzing alternative plans to raise money

SB Electronics is considering two plans for raising \(4,000,000 to expand operations.

Plan A is to issue 9% bonds payable, and plan B is to issue 500,000 shares of common

stock. Before any new financing, SB Electronics has net income of \)350,000 and

300,000 shares of common stock outstanding. Management believes the company can

use the new funds to earn additional income of $700,000 before interest and taxes.

The income tax rate is 30%. Analyze the SB Electronics situation to determine which

plan will result in higher earnings per share. Use Exhibit 12-6 as a guide.

In regard to a bond discount or premium, what is the straight-line amortization

method?

See all solutions

Recommended explanations on Business Studies Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free