In: Accounting
Problem 14-5 Issuer and investor; effective interest; amortization schedule; adjusting entries [LO14-2]
On February 1, 2018, Cromley Motor Products issued 10% bonds,
dated February 1, with a face amount of $60 million. The bonds
mature on January 31, 2022 (4 years). The market yield for bonds of
similar risk and maturity was 12%. Interest is paid semiannually on
July 31 and January 31. Barnwell Industries acquired $60,000 of the
bonds as a long-term investment. The fiscal years of both firms end
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 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.
Requirement(1):Determine the price of the bonds issued on February 1, 2018:
Cash interest paid: 10% x $60,000,000 x 6/12 = $3,000,000
Present value of interest: Table , 8 payments @ 6% = 6.20979 x $3,000,000 = $18,629,370
Present value of $80 million: Table , 8 periods @ 6% = 0.62741x $60,000,000 = $37,644,600
Price of bonds: $56,273,970 ($18,629,370+ $37,644,600)
Barnwell purchased 60,000 ÷ 60,000,000 = 0.1% of the bonds.
Therefore, the price paid was 0.1% x $56,273,970 = $56,274
Requirement(2):Preparation of amortization schedules that indicates (a) Cromley’s effective interest expense and (b) Barnwell’s effective interest revenue for each interest period during the term to maturity:
Barnwell’s
Payment Number |
Cash Payment |
Effective Interest |
Discount Amortized |
Balance |
56,274 |
||||
1 |
3,000 |
3,376 |
376 |
56,650 |
2 |
3,000 |
3,399 |
399 |
57,049 |
3 |
3,000 |
3,423 |
423 |
57,472 |
4 |
3,000 |
3,448 |
448 |
57,921 |
5 |
3,000 |
3,475 |
475 |
58,396 |
6 |
3,000 |
3,504 |
504 |
58,900 |
7 |
3,000 |
3,534 |
534 |
59,434 |
8 |
3,000 |
3,566 |
566 |
60,000 |
Payment Number |
Cash Payment |
Cromley’s Effective Interest |
Discount Amortized |
Balance |
562,73,970 |
||||
1 |
30,00,000 |
33,76,438 |
3,76,438 |
566,50,408 |
2 |
30,00,000 |
33,99,024 |
3,99,024 |
570,49,433 |
3 |
30,00,000 |
34,22,966 |
4,22,966 |
574,72,399 |
4 |
30,00,000 |
34,48,344 |
4,48,344 |
579,20,743 |
5 |
30,00,000 |
34,75,245 |
4,75,245 |
583,95,987 |
6 |
30,00,000 |
35,03,759 |
5,03,759 |
588,99,746 |
7 |
30,00,000 |
35,33,985 |
5,33,985 |
594,33,731 |
8 |
30,00,000 |
35,66,269 |
5,66,269 |
600,00,000 |
Requirement(3):Prepare the journal entries to record (a) the issuance of the bonds by Cromley and (b) Barnwell’s investment on February 1, 2018.
Cromley:
Cash 56,273,970
Discount on B/P 3,726,030
Bonds Payable 60,000,000
Barnwell:
Investment in Bonds 60,000
Discount on bond investment 3,726
Cash 56,274
Requirement(4):Prepare the journal entries by both firms to record all subsequent events related to the bonds through January 31, 2020.
Cromley
Date |
Particulars |
Debit |
Credit |
31/07/2018 |
Interest Expense Discount on B/P Cash |
33,76,438 |
3,76,438 30,00,000 |
31/12/2018 |
Interest Expense (33,99,024*5/6) Discount on B/P (3,99,024*5/6) Interest Payable (30,00,000*5/6) |
28,32,520 |
3,32,520 25,00,000 |
31/01/2019 |
Interest Expense(33,99,024*1/6) Interest Payable Discount on B/P (3,99,024*1/6) Cash |
5,66,504 25,00,000 |
66,504 30,00,000 |
31/07/2019 |
Interest Expense Discount on B/P Cash |
34,22,966 |
4,22,966 30,00,000 |
31/12/2019 |
Interest Expense (34,48,344*5/6) Discount on B/P (4,48,344*5/6) Interest Payable (30,00,000*5/6) |
28,73,620 |
3,73,620 25,00,000 |
31/01/2020 |
Interest Expense(34,48,344*1/6) Interest Payable Discount on B/P (4,48,344*1/6) Cash |
5,74,724 25,00,000 |
74,724 30,00,000 |
Barnwell
Date |
Particulars |
Debit |
Credit |
31/07/2018 |
Cash Disc on Bond Invest Interest Revenue |
3,000 376 |
3,376 |
31/12/2018 |
Interest Receivable (3,000 x 5/6) Disc on Bond Invest (399 x 5/6) Interest Revenue (3,399 x 5/6) |
2,500 332.5 |
2835.5 |
31/01/2019 |
Cash Disc on Bond Invest (399 x 1/6) Interest Receivable Interest Revenue (3,399 x 1/6) |
3,000 66.5 |
2,500 566.5 |
31/07/2019 |
Cash Disc on Bond Invest Interest Revenue |
3,000 423 |
3,423 |
31/12/2019 |
Interest Receivable (3,000 x 5/6) Disc on Bond Invest (448 x 5/6) Interest Revenue (3,448 x 5/6) |
2,500 373.33 |
2873.33 |
31/01/2020 |
Cash Disc on Bond Invest (448 x 1/6) Interest Receivable Interest Revenue (3,448 x 1/6) |
3,000 74.67 |
2,500 574.67 |