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Chapter 12: Q30E_3 (page 662)

Determining the present value of bonds payable

Interest rates determine the present value of future amounts. (Round to the nearest

dollar.)

Requirements

1. Determine the present value of 10-year bonds payable with face value of $86,000

and stated interest rate of 14%, paid semiannually. The market rate of interest is

14% at issuance.

2. Same bonds payable as in Requirement 1, but the market interest rate is 16%.

3. Same bonds payable as in Requirement 1, but the market interest rate is 12%.

Short Answer

Expert verified

The present value of the bonds is $77,557

Step by step solution

01

Definition of interest rate

A interest rate is the rate at which company pays the sum of money to the bondholder for using the money provided by them.

02

Calculation of the present value of bonds

In this, we take n= 20 and i=7%

PresentsValue=FutureValue×PVfactorofi=8%,n=20=$86,000×0.21455=$18,452

Present value of interest:

PresentsValue=Amountofcashflow×AnnuityPVfactor=$6,020×9.8181=$59,105

Present Value of bonds

PresentsValue=PresentValueofprincipal+PresentValurofinterest=$18,452+$59,105=$77,557

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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.

Computing the debt to equity ratio

Ludwig Corporation has the following data as of December 31, 2018:

Total Current Liabilities \( 36,210 Total Stockholders’ Equity \) ?

Total Current Assets 58,200 Other Assets 36,800

Long-term Liabilities 139,630 Property, Plant, and Equipment, Net 206,440

Compute the debt to equity ratio at December 31, 2018.

Reporting liabilities

At December 31, MediStat Precision Instruments owes \(52,000 on Accounts

Payable, Salaries Payable of \)12,000, and Income Tax Payable of \(10,000. MediStat

also has \)300,000 of Bonds Payable that were issued at face value that require

payment of a \(35,000 installment next year and the remainder in later years. The

bonds payable require an annual interest payment of \)4,000, and MediStat still

owes this interest for the current year. Report MediStat’s liabilities on its classified

balance sheet on December 31, 2018.

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 the carrying amount of a bond?
See all solutions

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