On February 1, 2018, Cromley Motor Products issued 6% bonds, dated February 1, with a face amount of $75 million. The bonds mature on January 31, 2022 (4 years). The market yield for bonds of similar risk and maturity was 8%. Interest is paid semiannually on July 31 and January 31. Barnwell Industries acquired $75,000 of the bonds as a long-term investment. The fiscal years of both firms end December 31.
1. Determine the price of the bonds issued on
February 1, 2018.
2-a. Prepare amortization schedules that indicate
Cromley’s effective interest expense for each interest period
during the term to maturity.
2-b. Prepare amortization schedules that indicate
Barnwell’s effective interest revenue for each interest period
during the term to maturity.
3. Prepare the journal entries to record the
issuance of the bonds by Cromley and Barnwell’s investment on
February 1, 2018.
4. Prepare the journal entries by both firms to
record all subsequent events related to the bonds through January
31, 2020.
Answer :-
Year | PV factor @ 4% |
1 | 0.96154 |
2 | 0.92456 |
3 | 0.88900 |
4 | 0.85480 |
5 | 0.82193 |
6 | 0.79031 |
7 | 0.75992 |
8 | 0.73069 |
Total | 6.73274 |
Coupon rate per Period (6%/2) | 3.00% |
Face value of bond | 75,000,000 |
Market or Discounting rate per Period (8%/2) | 4.00% |
Interest paid (75000000*3%) | 2250000 |
PV of interest (2250000*6.73274) | $ 15,148,665 |
PV of Principal (75000000*0.73069) | $ 54,801,750 |
Present value of Bond | $ 69,950,415 |
Discount on Bond payable (75000000-69950415) | $ 5,049,585 |
Barnwell purchased = $ 75,000 ÷ 75,000,000 = 0.10% of the bonds issued | |
Price paid by Barnwell (69950415*0.1%) | $ 69,950 |
Interest payment received by Barnwell = 75000*3% = 2250 |
Answer 2
Fair value | |||||||
Interest payment (Credit Cash) = Face value of bond * Coupon rate | |||||||
Interest Expense (Debit Interest Expense) = book value of Bond for previous period * Market or Discounting rate | |||||||
Amortization of bond Discount (Credit Bond Discount) = Interest Expense - Interest payment | |||||||
Debit Balance in Bond Discount = Debit Balance in Bond Discount for previous period - Amortization of bond Discount | |||||||
Credit Balance in Bond Payable = Face value of bond | |||||||
Book value of Bond = Credit Balance in Bond Payable - Debit Balance in Bond Discount | |||||||
Bond Discount Amortization Table (Cromley) | |||||||
Period | Date | Interest payment | Interest Expense | Amortization of bond Discount | Debit Balance in Bond Discount | Credit Balance in Bond Payable | Book value of Bond |
0 | Feb 1, 2018 | 5049585 | 75,000,000 | 69950415 | |||
1 | July 31, 2018 | 2250000 | 2798017 | 548017 | 4501568 | 75000000 | 70498432 |
2 | Jan31, 2019 | 2250000 | 2819937 | 569937 | 3931631 | 75000000 | 71068369 |
3 | July 31, 2019 | 2250000 | 2842735 | 592735 | 3338896 | 75000000 | 71661104 |
4 | Jan31, 2020 | 2250000 | 2866444 | 616444 | 2722452 | 75000000 | 72277548 |
5 | 2250000 | 2891102 | 641102 | 2081350 | 75000000 | 72918650 | |
6 | 2250000 | 2916746 | 666746 | 1414604 | 75000000 | 73585396 | |
7 | 2250000 | 2943416 | 693416 | 721189 | 75000000 | 74278811 | |
8 | 2250000 | 2971189 | 721189 | 0 | 75000000 | 75000000 |
Discount Amortization Table (Barnwell) | |||||||
Period | Date | cash Interest Receipt | Interest Revenue | Amortization of Discount | Credit Balance in Bond Discount | Investment in Bonds (Debit) | Book value of Bond |
0 | Feb 1, 2018 | 5050 | 75000 | 69950 | |||
1 | July 31, 2018 | 2250 | 2798 | 548 | 4502 | 75000 | 70498 |
2 | Jan31, 2019 | 2250 | 2820 | 570 | 3932 | 75000 | 71068 |
3 | July 31, 2019 | 2250 | 2843 | 593 | 3339 | 75000 | 71661 |
4 | Jan31, 2020 | 2250 | 2866 | 616 | 2722 | 75000 | 72278 |
5 | 2250 | 2891 | 641 | 2081 | 75000 | 72919 | |
6 | 2250 | 2917 | 667 | 1415 | 75000 | 73585 | |
7 | 2250 | 2943 | 693 | 721 | 75000 | 74279 | |
8 | 2250 | 2971 | 721 | 0 | 75000 | 75000 |
Answer 3 and 4
Cromley Motor | |||
Journal entries | |||
Date | General Journal | Debit | Credit |
Feb 1, 2018 | Cash | 69,950,415 | |
Discount on Bond payable | 5,049,585 | ||
Bond payable | 75,000,000 | ||
(To record issued of bond payable at Discount.) | |||
July 31, 2018 | Interest expense | 2,798,017 | |
Discount on Bond payable | 548,017 | ||
Cash | 2,250,000 | ||
(To record interest expense and amortization of bond Discount.) | |||
Dec 31, 2018 | Interest expense (2819937*5/6) | 2,349,948 | |
Discount on Bond payable (569937*5/6) | 474,948 | ||
Interest Payable (2250000*5/6) | 1,875,000 | ||
(To record accrued interest expense and amortization of bond Discount.) | |||
Jan31, 2019 | Interest expense (2819937*1/6) | 469,990 | |
Interest Payable | 1,875,000 | ||
Discount on Bond payable (569937*1/6) | 94,990 | ||
Cash | 2,250,000 | ||
(To record interest expense and amortization of bond Discount.) | |||
July 31, 2019 | Interest expense | 2,842,735 | |
Discount on Bond payable | 592,735 | ||
Cash | 2,250,000 | ||
(To record interest expense and amortization of bond Discount.) | |||
Dec 31, 2019 | Interest expense (2866444*5/6) | 2,388,703 | |
Discount on Bond payable (616444*5/6) | 513,703 | ||
Interest Payable (2250000*5/6) | 1,875,000 | ||
(To record accrued interest expense and amortization of bond Discount.) | |||
Jan31, 2020 | Interest expense (2866444*1/6) | 477,741 | |
Interest Payable | 1,875,000 | ||
Discount on Bond payable (616444*1/6) | 102,741 | ||
Cash | 2,250,000 | ||
(To record interest expense and amortization of bond Discount.) |
Barnwell | |||
Journal entries | |||
Date | General Journal | Debit | Credit |
Feb 1, 2018 | Investment in long term Bond | 75,000 | |
Discount - Investment in bond | 5,050 | ||
Cash | 69,950 | ||
(To record Cash Invested in long term Bond.) | |||
July 31, 2018 | Cash | 2,250 | |
Discount - Investment in bond | 548 | ||
Interest revenue | 2,798 | ||
(To Record Interest Revenue.) | |||
Dec 31, 2018 | Interest Receivable (2250*5/6) | 1,875 | |
Discount - Investment in bond (570*5/6) | 475 | ||
Interest revenue (2820*5/6) | 2,350 | ||
(To Record accrued Interest Revenue.) | |||
Jan31, 2019 | Cash | 2,250 | |
Discount - Investment in bond (570*1/6) | 95 | ||
Interest Receivable | 1,875 | ||
Interest revenue (2820*1/6) | 470 | ||
(To Record Interest Revenue.) | |||
July 31, 2019 | Cash | 2,250 | |
Discount - Investment in bond | 593 | ||
Interest revenue | 2,843 | ||
(To Record Interest Revenue.) | |||
Dec 31, 2019 | Interest Receivable (2250*5/6) | 1,875 | |
Discount - Investment in bond (616*5/6) | 513 | ||
Interest revenue (2866*5/6) | 2,388 | ||
(To Record accrued Interest Revenue.) | |||
Jan31, 2020 | Cash | 2,250 | |
Discount - Investment in bond (616*1/6) | 103 | ||
Interest Receivable | 1,875 | ||
Interest revenue (2866*1/6) | 478 | ||
(To Record Interest Revenue.) |
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