In: Accounting
On February 1, 2018, Cromley Motor Products issued 6% bonds,
dated February 1, with a face amount of $50 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 $50,000 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)
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.
Solution 1:
Computation of Bond Price | |||
Table values are based on: | |||
n= | 8 | ||
i= | 4% | ||
Cash flow | Table Value | Amount | Present Value |
Par (Maturity) Value | 0.730690 | $50,000,000 | $36,534,510 |
Interest (Annuity) | 6.732745 | $1,500,000 | $10,099,117 |
Price of bonds | $46,633,628 |
Solution 2a:
Bond Amortization schedule - Cromley Motors - Effective Interest Expense Method | ||||
Payment no | Cash payment | Effective interest | Discount Amortized | Outstanding balance |
$46,633,628 | ||||
1 | $1,500,000 | $1,865,345 | $365,345 | $46,998,973 |
2 | $1,500,000 | $1,879,959 | $379,959 | $47,378,932 |
3 | $1,500,000 | $1,895,157 | $395,157 | $47,774,089 |
4 | $1,500,000 | $1,910,964 | $410,964 | $48,185,052 |
5 | $1,500,000 | $1,927,402 | $427,402 | $48,612,454 |
6 | $1,500,000 | $1,944,498 | $444,498 | $49,056,953 |
7 | $1,500,000 | $1,962,278 | $462,278 | $49,519,231 |
8 | $1,500,000 | $1,980,769 | $480,769 | $50,000,000 |
Solution 2b:
Bond Amortization schedule - Barnwell - Effective Interest Revenue Method | ||||
Payment no | Cash payment | Effective interest | Discount Amortized | Outstanding balance |
$46,634 | ||||
1 | $1,500 | $1,865 | $365 | $46,999 |
2 | $1,500 | $1,880 | $380 | $47,379 |
3 | $1,500 | $1,895 | $395 | $47,775 |
4 | $1,500 | $1,911 | $411 | $48,185 |
5 | $1,500 | $1,927 | $427 | $48,613 |
6 | $1,500 | $1,945 | $445 | $49,057 |
7 | $1,500 | $1,962 | $462 | $49,520 |
8 | $1,500 | $1,981 | $481 | $50,001 |
Solution 3:
Journal Entries - Cromley | |||
Date | Particulars | Debit | Credit |
1-Feb-18 | Cash Dr | $46,633,628 | |
Discount on bond payable Dr | $3,366,372 | ||
To Bond Payable | $50,000,000 | ||
(To record issue of bond at discount) |
Journal Entries - Barnwell | |||
Date | Particulars | Debit | Credit |
1-Feb-18 | Investment in Bond Dr | $50,000 | |
To Cash | $46,634 | ||
To Discount on bond | $3,366 | ||
(To record investment in bond) |
Solution 4:
Journal Entries - Cromley | |||
Date | Particulars | Debit | Credit |
31-Jul-18 | Interest Expense Dr | $1,865,345 | |
To Cash | $1,500,000 | ||
To Discount on bond Payable | $365,345 | ||
(To record semiannual interest payment and discount amortization) | |||
31-Dec-18 | Interest Expense Dr ($46,998,973*8%*5/12) | $1,566,632 | |
To Interest Payable ($50,000,000*6%*5/12) | $1,250,000 | ||
To Discount on bond Payable | $316,632 | ||
(To record interest accrued and discount amortized) | |||
31-Jan-19 | Interest Expense Dr ($46,998,973*8%*1/12) | $313,327 | |
Interest payable Dr | $1,250,000 | ||
To Cash | $1,500,000 | ||
To Discount on bond Payable | $63,327 | ||
(To record semiannual interest payment and discount amortization) | |||
31-Jul-19 | Interest Expense Dr | $1,895,157 | |
To Cash | $1,500,000 | ||
To Discount on bond Payable | $395,157 | ||
(To record semiannual interest payment and discount amortization) | |||
31-Dec-19 | Interest Expense Dr ($47,774,089*8%*5/12) | $1,592,470 | |
To Interest Payable | $1,250,000 | ||
To Discount on bond Payable | $342,470 | ||
(To record interest accrued and discount amortized) | |||
31-Jan-20 | Interest Expense Dr ($47,774,089*8%*1/12) | $318,494 | |
Interest payable Dr | $1,250,000 | ||
To Cash | $1,500,000 | ||
To Discount on bond Payable | $68,494 | ||
(To record semiannual interest payment and discount amortization) |
Journal Entries - Barnwell | |||
Date | Particulars | Debit | Credit |
31-Jul-18 | Cash Dr | $1,500 | |
Discount on bond Dr | $365 | ||
To Interest revenue | $1,865 | ||
(To record semiannual interest revenue and discount amortization) | |||
31-Dec-18 | Interest receivables Dr ($50,000*6%*5/12) | $1,250 | |
Discount on bond Dr | $317 | ||
To Interest revenue ($46,999*8%*5/12) | $1,567 | ||
(To record interest accrued and discount amortized) | |||
31-Jan-19 | Cash Dr | $1,500 | |
Discount on bond Dr | $63 | ||
To Interest receivables | $1,250 | ||
To Interest revenue ($46,999*8%*1/12) | $313 | ||
(To record semiannual interest receipt and discount amortization) | |||
31-Jul-19 | Cash Dr | $1,500 | |
Discount on bond Dr | $395 | ||
To Interest revenue | $1,895 | ||
(To record semiannual interest revenue and discount amortization) | |||
31-Dec-19 | Interest receivables Dr | $1,250 | |
Discount on bond Dr | $342 | ||
To Interest revenue ($47,775*8%*5/12) | $1,592 | ||
(To record interest accrued and discount amortized) | |||
31-Jan-20 | Cash Dr | $1,500 | |
Discount on bond Dr | $69 | ||
To Interest receivables | $1,250 | ||
To Interest revenue ($47,775*8%*1/12) | $319.00 | ||
(To record semiannual interest receipt and discount amortization) |