Accounting for Bonds
On May 1, 2020, Merrill Corp issued $1 million ten-year bonds. The bonds pay 10% interest semi-annually on October 31 and April 30. The bonds were issued to yield 12%. Merrill Corp has a fiscal year that ends December 31 each year. Fields Corporation uses the effective-interest method to calculate its interest expense each period.
Required:
PV of ordinary annuity
Period |
4% |
5% |
6% |
8% |
10% |
12% |
10 |
8.11090 |
7.72173 |
7.36009 |
6.71008 |
6.14457 |
5.65002 |
20 |
13.59033 |
12.46221 |
11.46992 |
9.81815 |
8.51356 |
4.86958 |
PV of $1
Period |
4% |
5% |
6% |
8% |
10% |
12% |
10 |
0.67556 |
0.61391 |
0.55839 |
0.46319 |
0.38554 |
0.32197 |
20 |
0.45639 |
0.37689 |
0.31180 |
0.21455 |
0.14864 |
0.10367 |
Solution
Merrill Corp
Computation of the issue price of bonds and the journal entry –
Issue price of bonds = present value of bonds + present value of interest payments
Present value of bond = face value x (P/F, r, N)
Effective rate of interest, r = 12% x 6/12 = 6%
Period, N = 10 years x 2 semi-annual periods = 20
Face value = $1,000,000
Present value of bonds = 1,000,000 x (P/F, 6%, 20)
= 1,000,000 x 0.31180 = $311,800
Present value of interest payments –
Semi-annual interest payment = 1,000,000 x 10% x 6/12 = $50,000
Present value of interest payments = 50,000 x (P/A, 6%, 20)
= 50,000 x 11.46992 = $573,496
Issue price of bonds = $311,800 + 573,496 = $885,296
Since, the issue price is less than the face value, the bond is said to have been issued at discount.
Discount on Bonds Payable = 1,000,000 – 885,296 = $114,704
Journal entry –
Computations –
Interest expense = carrying value of bond x effective market rate
Cash payment = face value x interest rate x semi-annual period
Discount Amortization = interest expense – cash payment
Carrying value of bond = beg. Balance + discount amortization
Oct 31, 2020 –
Interest expense = 885,296 x 6% = 53,118
Cash payment = 1,000,000 x 10% x 6/12 = $50,000
Discount Amortization = 53,118 – 50,000 = $3,118
Carrying value of bond = 884,296 + 3,118 = $888,414
April 30, 2021 –
Interest expense = 888,414 x 6% = $53,305
Cash payment = $50,000
Discount amortization = 53,305 – 50,000 = $3,305
Carrying Value of Bond = 888,414 + 3,305 = $891,719
Journal entries on Dec 31, 2020 and April 30, 2021 –
Computations –
The next interest payment date is on April 30. However, on Dec 31, the company recognizes the interest accrued as follows,
Dec 31, 2020
Interest expense = 888,414 x 6% x 2/6 = 17,768
Interest payable = 1,000,000 x 10% x 6/12 x 2/6 = 16,667
Discount on bonds payable = 17,768 – 16,667 = 1,101
April 30, 2021
Interest expense = 888,414 x 6% x 4/6 = 35,537
Since, the accrued interest is paid, cash $50,000
Discount on bonds payable = 35,537 + 16,667 – 50,000 = 2,204
Retirement of bond on May 1, 2021 –
Journal entry for bond retirement –
Computations -
Carrying value of bond = 891,719
Cash payment = 97% x 1,000,000 = 970,000
Unamortized discount = 114,704 – (3,118 +3,305) = 108,281
Loss on retirement = 970,000 + 108,281 – 891,719 = 186,562
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