Alfa issued bonds with an even value of $60 million and a nominal interest rate of 7%. Bonuses pay interest every six months on January 1 and July 1. They aired on July 1, 2019 and lasted for 15 years on that date. At the date of issue the market interest rate (yield) was 8.5%.
A.Prepare the jornal entry to record the issuance of the bonds on July 1, 2019.
B. Prepare the jornal entrance for July 1, 2020.
C. If five years (10 semesters) are missing for the bonds to expire, the company withdraws them in the amount of $62 million, calculate the profit or loss in the withdrawal of the bonds.
Coupon rate per period (7%/2) | 3.50% |
Face value of bond | $ 60,000,000 |
Market rate per period (8.50%/2) | 4.25% |
Interest paid (60000000*3.5%) | $ 2,100,000 |
Interest paid on | Semi annually |
Number of period (15*2) | 30 |
Amount | Multiply: PV factor | Present value | |
Face value | $ 60,000,000 | 0.28689 | $ 17,213,400 |
Interest paid | $ 2,100,000 | 16.77902 | $ 35,235,942 |
Issue price of bonds (Total of above) | $ 52,449,342 | ||
Less: face value of Bond | $ 60,000,000 | ||
Discount on Bond payable | $ 7,550,658 |
Market rate per period used for PV factor. | ||
Market rate per period | 4.25% | |
Period | PV factor | PVA factor |
1 | 0.95923 | 0.95923 |
2 | 0.92013 | 1.87936 |
3 | 0.88262 | 2.76198 |
4 | 0.84663 | 3.60861 |
5 | 0.81212 | 4.42073 |
6 | 0.77901 | 5.19974 |
7 | 0.74725 | 5.94699 |
8 | 0.71679 | 6.66378 |
9 | 0.68757 | 7.35135 |
10 | 0.65954 | 8.01089 |
11 | 0.63265 | 8.64354 |
12 | 0.60686 | 9.25039 |
13 | 0.58212 | 9.83251 |
14 | 0.55839 | 10.39090 |
15 | 0.53562 | 10.92652 |
16 | 0.51379 | 11.44031 |
17 | 0.49284 | 11.93315 |
18 | 0.47275 | 12.40590 |
19 | 0.45348 | 12.85938 |
20 | 0.43499 | 13.29437 |
21 | 0.41726 | 13.71162 |
22 | 0.40025 | 14.11187 |
23 | 0.38393 | 14.49580 |
24 | 0.36828 | 14.86407 |
25 | 0.35326 | 15.21734 |
26 | 0.33886 | 15.55620 |
27 | 0.32505 | 15.88124 |
28 | 0.31180 | 16.19304 |
29 | 0.29908 | 16.49213 |
30 | 0.28689 | 16.77902 |
ANswer is calculated using effectivce interest method
Face value of bond | 60,000,000 |
Less: Unamortized bond discount | 3,605,130 |
Carrying value of bond | 56,394,870 |
Less: Redemption value of bond | 62,000,000 |
Gain (Loss) on retirement of bond | (5,605,130) |
Journal entries | |||
Date | Account title | Debit | Credit |
July 1, 2019 | Cash | 52,449,342 | |
Discount on Bond payable | 7,550,658 | ||
Bond payable | 60,000,000 | ||
(To record issued of bond payable at Discount.) | |||
Jan 1, 2019 | Interest expense | 2,229,097 | |
Discount on Bond payable | 129,097 | ||
Cash | 2,100,000 | ||
(To record interest expense and amortization of bond discount.) | |||
July 1, 2020 | Interest expense | 2,234,584 | |
Discount on Bond payable | 134,584 | ||
Cash | 2,100,000 | ||
(To record interest expense and amortization of bond discount.) | |||
Jun 30, 2029 | Bond payable | 60,000,000 | |
Loss on retirement of bond payable | 5,605,130 | ||
Discount on Bond payable | 3,605,130 | ||
Cash | 62,000,000 | ||
(To record early retirement of bond payable.) |
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