Determining the present value of bond at issuance

On December 31, 2018, when the market interest rate is 12%, Benson Realty issues

$600,000 of 9.25%, 10-year bonds payable. The bonds pay interest semi annually.

Determine the present value of the bonds at issuance.

Short Answer

Expert verified

The present value of the bond as issuance is $505,493

Step by step solution

01

Definition of cash flow

The cash flow the inflow and outflow of the cash and other items which are equivalent to the cash during a period.

02

Present value of the bonds at issuance

Present value of principal:

Present Value= Future Value× PV factor of i=6%, n=20=$600,000× 0.312=$187,200 

Present value of interest:

Present Value= Amount of each cash flow  × Annuity  PV factor of i=6%, n=20=$27,750× 11.470=$318,293 

Present value at issuance:

Present Value= Present  Value  of  Principal+ Present  Value  of Interest= $187,200+ $318,293= $505,493

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Most popular questions from this chapter

Journalizing liability transactions and reporting them on the balance

sheet

The following transactions of Johnson Pharmacies occurred during 2018 and 2019:

2018

Mar. 1 Borrowed \(450,000 from Coconut Creek Bank. The 15-year, 5% note requires

payments due annually, on March 1. Each payment consists of \)30,000 principal

plus one year’s interest.

Dec. 1 Mortgaged the warehouse for \(250,000 cash with Saputo Bank. The mortgage

requires monthly payments of \)8,000. The interest rate on the note is 12% and

accrues monthly. The first payment is due on January 1, 2019.

31 Recorded interest accrued on the Saputo Bank note.

31 Recorded interest accrued on the Coconut Creek Bank note.

2019

Jan. 1 Paid Saputo Bank monthly mortgage payment.

Feb. 1 Paid Saputo Bank monthly mortgage payment.

Mar. 1 Paid Saputo Bank monthly mortgage payment.

1 Paid first installment on note due to Coconut Creek Bank.

Requirements

1. Journalize the transactions in the Johnson Pharmacies general journal. Round to

the nearest dollar. Explanations are not required.

2. Prepare the liabilities section of the balance sheet for Johnson Pharmacies on

March 1, 2019 after all the journal entries are recorded.

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.

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, 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.

Computing the debt to equity ratio

Jackson Corporation has the following amounts as of December 31, 2018.

Total assets $ 55,250

Total liabilities 22,750

Total equity 32,500

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

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