When Patey Pontoons issued 10% bonds on January 1, 2021, with a face amount of $640,000, the market yield for bonds of similar risk and maturity was 11%. The bonds mature December 31, 2024 (4 years). Interest is paid semiannually on June 30 and December 31. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: 1. Determine the price of the bonds at January 1, 2021. 2. Prepare the journal entry to record their issuance by Patey on January 1, 2021. 3. Prepare an amortization schedule that determines interest at the effective rate each period. 4. Prepare the journal entry to record interest on June 30, 2021. 5. What is the amount related to the bonds that Patey will report in its balance sheet at December 31, 2021? 6. What is the amount related to the bonds that Patey will report in its income statement for the year ended December 31, 2021? (Ignore income taxes.) 7. Prepare the appropriate journal entries at maturity on December 31, 2024.

Answer and Explanation:

According to the scenario, computation of the given data are as follow:-

1) Semiannually Rate of interest = 11% ÷ 2 = 5.50% = 0.055

Number of years (half yearly) = 4 × 2 = 8 years

PVIF Value = 1 ÷ (1 + Interest Rate)^Number of years

=1 ÷ (1 + 0.055)^8

= 1 ÷ 1.5347

= 0.65160

PVIFA Value = [1 -1 ÷ (1 + Interest Rate)^Number of years ÷  Interest Rate

= [1 - 1 ÷ (1 + 0.055)^8]  ÷ 0.055

= [1 - 0.65160] ÷ 0.055

= 6.33457

Particular  PV table valueMultiplyAmount  ($)PV value

Principle value  0.65160×640,000                          $417,024

Annually interest Value 6.33 ×     32,000                          $202,706

($640,000 × 6 ÷ 12 × 10%)  

Present Bond’s Price                                      $619,730

2).  

Journal Entry

On Jan.1,2021

Cash A/c        Dr.  $619,730

Discounts on bond payable A/c      Dr.  $20,270

 To Bond payable A/c        $640,000

(Being bond issued at discount is recorded)

3. The amortizable schedule is presented on the attachment below

4).

Journal Entry

June 30,2021

Interest expense A/c      Dr.  $34,085  

     To Cash A/c        $32,000

     To Discount on bond payable A/c    $2,085  

(Being interest expenses is recorded)  

5) On December 31,2021 Amount of bonds reported = $624,015

6). Interest expenses reported in income statement

= $34,085 + $34,200

= $68,285

7).

Journal Entry

On Dec. 31,2024

Interest expense A/c      Dr.  $35,032

   To Cash A/c        $32,000

   To Discount on bond payable A/c      $3,032

(Being interest expense is recorded)

On Dec.31,2024

Bond payable A/c      Dr.  $640,000

 To Cash A/c        $640,000

(Being interest expense is recorded)