12. Auerbach Inc. issued 6% bonds on October 1, 2016. The bonds have a maturity
ID: 2499989 • Letter: 1
Question
12.
Auerbach Inc. issued 6% bonds on October 1, 2016. The bonds have a maturity date of September 30, 2026 and a face value of $430 million. The bonds pay interest each March 31 and September 30, beginning March 31, 2017. The effective interest rate established by the market was 6%.
Assuming that Auerbach issued the bonds for $371,562,000, what would the company report for its net bond liability balance after its first interest payment on March 31, 2017, rounded up to the nearest thousand?
a) $356,699,000
b) $358,662,024
c) $386,424,000
d) $373,524,480
20.
On January 1, 2011, F Corp. issued 2,900 of its 10%, $1,000 bonds for $2,994,000. These bonds were to mature on January 1, 2021, but were callable at 101 any time after December 31, 2014. Interest was payable semiannually on July 1 and January 1. On July 1, 2016, F called all of the bonds and retired them. The bond premium was amortized on a straight-line basis. Before income taxes, F Corp.'s gain or loss in 2016 on this early extinguishment of debt was:
a) $76,000 gain
b) $22,700 gain
c) $29,000 loss
d) $13,300 gain
Auerbach Inc. issued 6% bonds on October 1, 2016. The bonds have a maturity date of September 30, 2026 and a face value of $430 million. The bonds pay interest each March 31 and September 30, beginning March 31, 2017. The effective interest rate established by the market was 6%.
Explanation / Answer
1.
The effective interest rate given in question is wrong. If the bonds are issued at discount then the effective interest rate should be more than the state rate. In that case only, the company need to issue the bonds at discount.
The issue price is the present value of coupon payments and redemption value discounted at effective interest rate. Solving the present values the effective rate comes to 8%.
Face value of bonds = $430 million
Issue price = $371,562,000
Discount on issue of bonds = $430,000,000 - $371,562,000 = $58,438,000
Effective interest = 0.08/2 = 0.04
Interest expense = $371,562,000 * 0.04 = $14,862,480
Interest payment = $430,000,000 * 0.03 = $12,900,000
Discount amortised = $14,862,480 - $12,900,000 = $1,962,480
Carrying value of bonds after first interest payment = $371,562,000 - $1,962,480 = $373,524,480
2.
Premium on issue of bonds = $2,994,000 - $2,900,000 = $94,000
Amortisation of premium per half year = $94,000 / 20 = $4,700
Premium already amortised = $4,700 * 11 = $51,700
Carrying amount of bonds on date of call = $2,994,000 - $51,700 = $2,942,300
Call price = $2,900,000 * 1.01 = $2,929,000
Gain on extinguishment of debts = $2,929,000 - $2,942,300 = $13,300 Gain
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