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Chapter 12: Q30E_2 (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 $95,864

Step by step solution

01

Definition Face value

Face value is the stated amount of the bond. Face value also known as the par value as this value is the value mentioned on the bond.

02

Calculation of the present value of bonds

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

PresentValue=FutureValue×PVfactorofi=6%,n=20=$86,000×0.31180=$26,815

Present value of interest:

PresentValue=Amountofcashflow×AnnuityPVfactor=$6,020×11.4699=$69,049

Present Value of bonds

PresentValue=PresentValueofprincipal+PresentValueofinterest=$26,815+$69,049=$95,864

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Most popular questions from this chapter

Determining the present value of bonds payable and journalizingusing the effective-interest amortization methodRelaxation, Inc. is authorized to issue 7%, 10-year bonds payable. On January 1, 2018,when the market interest rate is 12%, the company issues $300,000 of the bonds. Thebonds pay interest semiannually.

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.

How does compound interest differ from simple interest?

Schmidt Company issued $100,000, 4%, 10-year bonds payable at 98 on January 1, 2018.

6. Journalize the issuance of the bonds payable on January 1, 2018.

7. Journalize the payment of semiannual interest and amortization of the bond discount or premium (using the straight-line

amortization method) on July 1, 2018.

8. Assume the bonds payable was instead issued at 106. Journalize the issuance of the bonds payable and the payment of the

first semiannual interest and amortization of the bond discount or premium.

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.

What is a bond payable?
See all solutions

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