In: Accounting
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.)
|
| 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 |