In: Accounting
Sheffield Corp. issued $6,498,000 of 8% bonds on October 1, 2020, due on October 1, 2025. The interest is to be paid twice a year on April 1 and October 1. The bonds were sold to yield 9% effective annual interest. Sheffield Corp. closes its books annually on December 31. Complete the following amortization schedule for the dates indicated. Use the effective-interest method. (Round answers to 0 decimal places, e.g. 5,275.)
Date Cash Interest Expense Bond Discount Carrying Amount of Bonds October 1, 2020 $
April 1, 2021
October 1, 2021
SHOW LIST OF ACCOUNTS
Prepare the adjusting entry for December 31, 2021. Use the effective-interest method. (Credit account titles are automatically indented when the amount is entered. Do not indent manually.) Date Account Titles and Explanation Debit Credit Dec. 31 SHOW LIST OF ACCOUNTS
Compute the interest expense to be reported in the income statement for the year ended December 31, 2021. Interest expense $
1- | ||||||
price of bond | (coupon payment*PVAF at 4.5% for 10 semiannual period)+(face value*PVF at 4.5% at 10th semiannual period) | (259920*7.91281)+(6498000*0.6439) | 6240889.735 | |||
coupon payment | 6498000*4% | 259920 | ||||
Face value | 6498000 | |||||
PVAF at 4.5% for 10 semiannual period | 1-(1+r)^-n / r r=4.5% n = 10 | 1-(1.045)^-10 / 4.5% | .356072/4.5% | 7.912818 | ||
PVF at 4.5% at 10 th semiannual period | 1/(1+r)^n | 1/(1.045)^10 | 0.6439277 | |||
2-A | ||||||
Amortization schdeule - effective interest method | ||||||
Period | cash paid - face value*coupon rate*1/2 coupon rate =125 | Interest expense = carrying value of bonds*market rate of interest*1/2 market rate of interest | Discount amortized = Interest expense-cash paid as Interest | balance in discount to be amortized | carrying vaue of bond = beginning balance-discount to be amortized | Face value |
Oct 1 2020 | 257110.3 | 6240890 | 6498000 | |||
April 1 2021 | 259920 | 280840.0381 | 20920.03808 | 236190.2 | 6261810 | 6498000 |
Oct 1 2021 | 259920 | 281781.4398 | 21861.4398 | 214328.8 | 6283671 | 6498000 |
April 1 2022 | 259920 | 282765.2046 | 22845.20459 | 191483.6 | 6306516 | 6498000 |
Oct 1 2022 | 259920 | 283793.2388 | 23873.2388 | 167610.3 | 6330390 | 6498000 |
April 1 2023 | 259920 | 284867.5345 | 24947.53454 | 142662.8 | 6355337 | 6498000 |
Oct 1 2023 | 259920 | 285990.1736 | 26070.1736 | 116592.6 | 6381407 | 6498000 |
April 1 2024 | 259920 | 287163.3314 | 27243.33141 | 89349.3 | 6408651 | 6498000 |
Oct 1 2024 | 259920 | 288389.2813 | 28469.28132 | 60880.02 | 6437120 | 6498000 |
April 1 2025 | 259920 | 289670.399 | 29750.39898 | 31129.62 | 6466870 | 6498000 |
Oct 1 2025 | 259920 | 291009.1669 | 31129.62369 | 0 | 6498000 | 6498000 |
Journal Entries | ||||||
date | explanation | debit | credit | |||
dec 31 2020 | Interest expense | 140420 | ||||
discount on bonds payable | 10460.01904 | 140420 | ||||
Interest payable | 129960 | |||||
April 1 2021 | Interest expense | 140420.019 | ||||
Interest payable | 129960 | |||||
discount on bonds payable | 10460.01904 | |||||
cash | 259920 | |||||
oct 1 2021 | Interest expense | 281781.4398 | ||||
discount on bonds payable | 21861.4398 | |||||
cash | 259920 | |||||
Dec 31 2021 | Interest expense | 141382.6023 | ||||
discount on bonds payable | 11422.60229 | |||||
Interest payable | 129960 | |||||
Interest expense to be reported into income statement in 2021 | 140420.019+281781.4398+141382.6023 | 563584 |