In: Accounting
Chapter 10 Question 4:
Ellis issues 9.0%, five-year bonds dated January 1, 2017, with a
$550,000 par value. The bonds pay interest on June 30 and December
31 and are issued at a price of $572,325. The annual market rate is
8% on the issue date. (Table B.1, Table B.2, Table B.3, and Table
B.4) (Use appropriate factor(s) from the tables
provided.)
Chapter 10 Question 4:
Required:
1. Compute the total bond interest expense over
the bonds' life.
2. Prepare an effective interest amortization
table for the bonds’ life.
3. Prepare the journal entries to record the first
two interest payments.
4. Use the market rate at issuance to compute the
present value of the remaining cash flows for these bonds as of
December 31, 2019.
Compute the total bond interest expense over the bonds' life.
|
Prepare an effective interest amortization table for the bonds’ life.
Prepare the journal entries to record the first two interest payments. Journal entry worksheet Record the first interest payment on June 30, 2017. Note: Enter debits before credits.
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1) | |||||
Total bond interest expense over life of bonds: | |||||
Amount repaid: | |||||
10 Payments of $24,750 * | $247,500.00 | ||||
Par value at maturity | $550,000.00 | ||||
Total repaid | $797,500.00 | ||||
Less amount borrowed | -$572,325.00 | ||||
Total bond interest expense | $225,175.00 | ||||
* $550,000 x 9%/2 | $24,750.00 | ||||
2) | |||||
Prepare an effective interest amortization table for the bonds’ life. | |||||
A | B | C | D | E | F |
Semiannual Period-End | Cash Interest Paid = 4.5% x $550,000 | Bond Interest Expense = 8%/2 x Previous Carrying value | Premium Amortization (Difference Cash interest - Bond interest Exp.(C- B) | Unamortized Premium | Carrying Value = Previous G +D |
01/01/2017 | $22,325.00 | $572,325.00 | |||
06/30/2017 | $24,750.00 | $22,893.00 | -$1,857.00 | $20,468.00 | $570,468.00 |
12/31/2017 | $24,750.00 | $22,818.72 | -$1,931.28 | $18,536.72 | $568,536.72 |
06/30/2018 | $24,750.00 | $22,741.47 | -$2,008.53 | $16,528.19 | $566,528.19 |
12/31/2018 | $24,750.00 | $22,661.13 | -$2,088.87 | $14,439.32 | $564,439.32 |
06/30/2019 | $24,750.00 | $22,577.57 | -$2,172.43 | $12,266.89 | $562,266.89 |
12/31/2019 | $24,750.00 | $22,490.68 | -$2,259.32 | $10,007.56 | $560,007.56 |
06/30/2020 | $24,750.00 | $22,400.30 | -$2,349.70 | $7,657.87 | $557,657.87 |
12/31/2020 | $24,750.00 | $22,306.31 | -$2,443.69 | $5,214.18 | $555,214.18 |
06/30/2021 | $24,750.00 | $22,208.57 | -$2,541.43 | $2,672.75 | $552,672.75 |
12/31/2021 | $24,750.00 | $22,077.25 | -$2,672.75 | -$0.00 | $550,000.00 |
Total | $247,500.00 | $225,175.00 | -$22,325.00 | ||
3)Prepare the journal entries to record the first two interest payments. | |||||
Journal entry worksheet | |||||
Record the first interest payment on June 30, 2017. | |||||
Date | General Journal | Debit | Credit | ||
Jun 30, 2017 | Bond interest expense | $22,893.00 | |||
Premium on bonds payable | $1,857.00 | ||||
Cash | $24,750.00 | ||||
Date | General Journal | Debit | Credit | ||
Dec 31, 2017 | Bond interest expense | $22,818.72 | |||
Premium on bonds payable | 1931.28 | ||||
Cash | $24,750.00 | ||||
4)Use the market rate at issuance to compute the present value of the remaining cash flows for these bonds as of December 31, 2019. (Round table values to 4 decimal places, and use rounded values in all calculations.) | |||||
Table values are based on: | |||||
n = | 4 | ||||
i = | 4.00% | ||||
Cash Flow | Table Value | Amount | Present Value | ||
Par (maturity) value | 0.85480 | $550,000.00 | $470,140.00 | ||
Interest (annuity) | 3.6299 | $24,750.00 | $89,840.02 | ||
Price of bonds | $560,007.56 | approx |