Question

On January 1, 2017, Shay issues $700,000 of 10%, 15-year bonds at a price of 97¾. Six years later, on January 1, 2023, Shay retires 20% of these bonds by buying them on the open market at 104½. All interest is accounted for and paid through December 31, 2022, the day before the purchase. The straight-line method is used to amortize any bond discount.

1. How much does the company receive when it issues the bonds on January 1, 2017?

2. What is the amount of the discount on the bonds at January 1, 2017?

3. How much amortization of the discount is recorded on the bonds for the entire period from January 1, 2017, through December 31, 2022?

4. What is the carrying (book) value of the bonds as of the close of business on December 31, 2022? What is the carrying value of the 20% soon-to-be-retired bonds on this same date?

5. How much did the company pay on January 1, 2023, to purchase the bonds that it retired?

6. What is the amount of the recorded gain or loss from retiring the bonds?

7. Prepare the journal entry to record the bond retirement at January 1, 2023

Short answer

(1) Amount received equals $684,250.

(2) Discount on bonds payable equals $15,750.

(3) Total amortization equals $6,300.

(4) Carrying value of bonds equals $690,550 ,and carrying value of 20% bond equals $138,110 .

(5) Amount paid for retirement equals $146,300.

(6) Loss on retirement equals $8,190.

(7) Journal entry is recorded in Step 7.

Step-by-step solution

:Proceeds from bond

$\begin{array}{rcl}\mathbf{Proceeds}\mathbf{}\mathbf{from}\mathbf{}\mathbf{Bond}\mathbf{}\mathbf{issue}& \mathbf{=}& \mathbf{Par}\mathbf{}\mathbf{}\mathbf{Value}\mathbf{\times }\mathbf{Rate}\mathbf{}\mathbf{of}\mathbf{}\mathbf{issue}\\ & \mathbf{=}& \mathbf{\$}\mathbf{700}\mathbf{,}\mathbf{000}\mathbf{\times }\mathbf{97}\mathbf{.}\mathbf{75}\mathbf{\%}\\ & \mathbf{=}& \mathbf{\$}\mathbf{684}\mathbf{,}\mathbf{250}\\ & & \end{array}$

Bond Discount amount

$\begin{array}{rcl}\mathbf{Discount}\mathbf{}\mathbf{on}\mathbf{}\mathbf{Bond}\mathbf{}\mathbf{payable}& \mathbf{=}& \mathbf{Par}\mathbf{}\mathbf{value}-\mathbf{Issue}\mathbf{}\mathbf{Price}\\ & \mathbf{=}& \mathbf{\$}\mathbf{700}\mathbf{,}\mathbf{000}-\mathbf{\$}\mathbf{684}\mathbf{,}\mathbf{250}\\ & \mathbf{=}& \mathbf{\$}\mathbf{15}\mathbf{,}\mathbf{750}\\ & & \end{array}$

Amortization amount for 6 year

$\begin{array}{rcl}\mathbf{Amortization}\mathbf{}\mathbf{amount}& \mathbf{=}& \frac{\mathbf{Discount}\mathbf{}\mathbf{on}\mathbf{}\mathbf{bonds}\mathbf{}\mathbf{payable}}{\mathbf{Total}\mathbf{}\mathbf{bond}\mathbf{}\mathbf{period}}\mathbf{\times }\mathbf{Number}\mathbf{}\mathbf{of}\mathbf{}\mathbf{years}\mathbf{}\mathbf{till}\mathbf{}\mathbf{retirement}\\ & \mathbf{=}& \frac{\mathbf{\$}\mathbf{15}\mathbf{,}\mathbf{750}}{\mathbf{15}}\mathbf{\times }\mathbf{6}\mathbf{}\mathbf{}\\ & \mathbf{=}& \mathbf{\$}\mathbf{6}\mathbf{,}\mathbf{300}\\ & & \end{array}$

 :Carrying value of Bonds an December 31, 2022

$\begin{array}{rcl}\mathbf{Carrying}\mathbf{}\mathbf{value}\mathbf{}\mathbf{of}\mathbf{}\mathbf{Bond}\mathbf{}\mathbf{Payable}& \mathbf{=}& \mathbf{Bond}\mathbf{}\mathbf{Proceeds}\mathbf{+}\mathbf{Amortization}\mathbf{}\mathbf{amount}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}& \mathbf{=}& \mathbf{684}\mathbf{,}\mathbf{250}\mathbf{+}\mathbf{6}\mathbf{,}\mathbf{300}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}& \mathbf{=}& \mathbf{\$}\mathbf{690}\mathbf{,}\mathbf{550}\end{array}$

$\begin{array}{rcl}\mathbf{Carrying}\mathbf{}\mathbf{value}\mathbf{}\mathbf{of}\mathbf{}\mathbf{20}\mathbf{\%}\mathbf{}\mathbf{Bond}\mathbf{}\mathbf{Payable}& \mathbf{=}& \mathbf{Carrying}\mathbf{}\mathbf{value}\mathbf{}\mathbf{of}\mathbf{}\mathbf{Bond}\mathbf{}\mathbf{Payable}\mathbf{\times }\mathbf{Proportion}\\ & \mathbf{=}& \mathbf{\$}\mathbf{690}\mathbf{,}\mathbf{550}\mathbf{\times }\mathbf{20}\mathbf{\%}\\ & \mathbf{=}& \mathbf{\$}\mathbf{138}\mathbf{,}\mathbf{110}\\ & & \end{array}$

 Purchase Price of the Bonds

$\begin{array}{rcl}\mathbf{Bond}\mathbf{}\mathbf{Price}& \mathbf{=}& \mathbf{Par}\mathbf{}\mathbf{value}\mathbf{}\mathbf{of}\mathbf{}\mathbf{bond}\mathbf{\times }\mathbf{Ratio}\mathbf{}\mathbf{of}\mathbf{}\mathbf{}\mathbf{redemption}\mathbf{\times }\mathbf{Rate}\mathbf{}\mathbf{of}\mathbf{}\mathbf{redemption}\\ & \mathbf{=}& \mathbf{\$}\mathbf{700}\mathbf{,}\mathbf{000}\mathbf{\times }\mathbf{20}\mathbf{\%}\mathbf{\times }\mathbf{104}\mathbf{.}\mathbf{5}\mathbf{\%}\\ & \mathbf{=}& \mathbf{\$}\mathbf{146}\mathbf{,}\mathbf{300}\\ & & \end{array}$

 Gain/loss on retirement

$\begin{array}{rcl}\mathbf{Gain}\mathbf{/}\left(\mathbf{loss}\right)& \mathbf{=}& \mathbf{Carrying}\mathbf{}\mathbf{value}\mathbf{-}\mathbf{-}\mathbf{purchase}\mathbf{}\mathbf{price}\\ & \mathbf{=}& \mathbf{\$}\mathbf{138}\mathbf{,}\mathbf{110}-\mathbf{\$}\mathbf{146}\mathbf{,}\mathbf{300}\\ & \mathbf{=}& \mathbf{\$}\left(\mathbf{8}\mathbf{,}\mathbf{190}\right)\mathbf{-}\mathbf{-}\mathbf{Loss}\\ & & \end{array}$

 Journal entry for Bond retirement

Date	Account and explanation	Debit	Credit
2023 January 01	Bond Payable	$138,110
	Loss on Bond Retirement	$8,190
	Cash		$146,300
	(Record retirement of bonds before maturity).