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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脳PVfactorofi=8%,n=20=$86,000脳0.21455=$18,452

Present value of interest:

PresentsValue=Amountofcashflow脳AnnuityPVfactor=$6,020脳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.

Analyzing and journalizing bond transactions

On January 1, 2018, Nurses Credit Union (NCU) issued 8%, 20-year bonds payablewith face value of $600,000. The bonds pay interest on June 30 and December 31.

Requirements

1. If the market interest rate is 7% when NCU 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 9% when NCU 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 92. 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 beenrecorded.

Reporting liabilities on the balance sheet and computing debt toequity ratio

The accounting records of Compass Wireless include the following as of December31, 2018:

Accounts Payable \( 74,000 Salaries Payable \) 7,500

Mortgages Payable (long-term) 80,000 Bonds Payable (current portion) 25,000

Interest Payable 21,000 Premium on Bonds Payable 13,000

Bonds Payable (long-term) 63,000 Unearned Revenue (short-term) 2,700

Total Stockholders鈥� Equity 145,000

Requirements

1. Report these liabilities on the Compass Wireless balance sheet, including headingsand totals for current liabilities and long-term liabilities.

2. Compute Compass Wireless鈥檚 debt to equity ratio at 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.

Analyzing and journalizing bond transactions

On January 1, 2018, Electricians Credit Union (ECU) issued 8%, 20-year bondspayable with face value of $400,000. The bonds pay interest on June 30 andDecember 31. The issue price of the bonds is 104.

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 last interestpayment has already been recorded.
See all solutions

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