Question

In: Accounting

On January 1, 2021, Cullumber Ltd. issued bonds with a maturity value of $7,800,000 when the...

On January 1, 2021, Cullumber Ltd. issued bonds with a maturity value of $7,800,000 when the market rate of interest was 4%. The bonds have a coupon (contractual) interest rate of 5% and mature on January 1, 2031. Interest on the bonds is payable semi-annually on July 1 and January 1 of each year. The company’s year end is December 31.

Click here to view the factor table. Present Value of 1
Click here to view the factor table. Present Value of an Annuity of 1

Issue Price$


CULLUMBER LTD.
Bond Premium Amortization Table
Effective Interest Method—Semi-Annual Interest Payments
5% Bonds Issued at market rate of 4%
Date Interest Payment Interest Expense Premium Amortization Bond Amortized Cost
Jan. 1, 2021 $ $ $ $
July 1, 2021
Jan. 1, 2022
July 1, 2022
Jan. 1, 2023

Prepare all of the required journal entries related to the bonds that Cullumber Ltd. will record during 2021, including any adjusting journal entries at December 31, 2021.

Date

Account Titles and Explanation

Debit

Credit

Jan. 1

(To record issuance of bonds.)

July 1

(To record interest payment.)

Dec. 31

CULLUMBER LTD.
Balance Sheet (Partial)
                                                                      For the Year Ended December 31, 2021December 31, 2021For the Month Ended December 31, 2021
                                                                      Non-Current LiabilitiesCurrent LiabilitiesProperty, Plant and EquipmentShareholders' EquityCurrent Assets
$
                                                                      Current AssetsNon-Current LiabilitiesProperty, Plant and EquipmentShareholders' EquityCurrent Liabilities


Date

Account Titles and Explanation

Debit

Credit

Jan. 1

(To record interest payment.)

Date

Account Titles and Explanation

Debit

Credit

Jan. 1

(To record redemption of bonds.)

Date

Account Titles and Explanation

Debit

Credit

Jan. 1

(To record maturity of bond.)

What will be the total interest payment over the 10-year life of the bonds? What will be the total interest expense over the 10-year life of the bonds? (Round answers to 0 decimal places, e.g. 5,275.)
Interest Payment $
Interest Expense $

Solutions

Expert Solution

value of bond (coupon payment*PVAF at 2% for 20 semiannual period)+(face value*PVF at 2% at 20th semiannual period) (195000*16.351)+(7800000*.672971) 8437618.8
Coupon payment 7800000*5%*1/2 195000
face value 7800000
PVAF at 2% for 20 semiannual period 1-(1+r)^-n/r   r =2% n =20 1-(1.02)^-20 / 2% .32702/2% 16.351
PVF at 2% at 20th semiannual period 1/(1+r)^n r = 2% n =20 1/1.02^20 0.672971
date Interest payment Interest expense premium amortization Bond amortized cost
Jan 1 2021 8437619
July 1 2021 195000 168752.38 26247.624 8411371
Jan 1 2022 195000 168227.42 26772.57648 8384599
July 1 2022 195000 167691.97 27308.02801 8357291
Jan 1 2023 195000 167145.81 27854.18857 8329436
date explanation debit credit
Jan 1 2021 cash 8437618.8
premium on bonds payable 637618.8
bonds payable 7800000
July 1 2021 Interest expense 168752.38
premium on bonds payable 26247.624
cash 195000
dec 31 2021 Interest expense 168227.42
premium on bonds payable 26772.576
interest payable 195000
jan 1 2022 interest payable 195000
cash 195000
Balance Sheet
Current liabilities
interest payable 195000
Non current liabilities
Bonds payable 7800000 8384598.6
premium on bonds payable 584598.5995
total of liabilities 8579598.6
date explanation debit credit
Jan 1 2031 Bonds payable 7800000
bond holders 7800000
Jan 1 2031 bond holders 7800000
cash 7800000
Total interest paid Coupon payment*periods of coupon payment 195000*20 3900000
total Interest payment =interest payment-premium amortized 3900000-637618.8 3262381.2

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