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

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Most popular questions from this chapter

Analyzing and journalizing bond transactions

On January 1, 2018, Educators Credit Union (ECU) issued 8%, 20-year bonds payablewith face value of $1,000,000. These bonds pay interest on June 30 and December 31.The issue price of the bonds is 109.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.

What is the carrying amount of a bond?

Determining the present value of bonds payable and journalizingusing the effective-interest amortization methodBrad Nelson, Inc. issued \(600,000 of 7%, six-year bonds payable on January 1, 2018.

The market interest rate at the date of issuance was 6%, and the bonds pay interestsemiannually.

Learning Objectives 2, 3, 4

3. June 30, 2018, InterestExpense \)25,200

Learning Objectives 2, 3, 4

June 30, 2018, Interest Expense$37,750

C H A P T E R 1 2

Requirements

1. How much cash did the company receive upon issuance of the bonds payable?(Round to the nearest dollar.)

2. Prepare an amortization table for the bond using the effective-interest method,through the first two interest payments (Round to the nearest dollar.)

3. Journalize the issuance of the bonds on January 1, 2018, and the first and secondpayments of the semiannual interest amount and amortization of the bonds onJune 30, 2018, and December 31, 2018. Explanations are not required.

What is an amortization schedule?

Weaver Corporation includes the following selected accounts in its general ledger on December 31, 2018:

Notes Payable (long-term) \( 75,000 Interest Payable (due next year) \) 720

Bonds Payable (long-term) 195,000 Sales Tax Payable 480

Accounts Payable 20,400 Premium on Bonds Payable 5,850

Salaries Payable 1,680 Estimated Warranty Payable 1,080

Prepare the liabilities section of Weaver Corporation’s balance sheet at December 31, 2018.

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