Question

On January 1, a company issued a $50,000 face value, 8% five-year bond for $46,139 that will yield 10%. Interest is payable on June 30 and December 31. What is the bond carrying amount on December 31 of the current year?
A. $47,106
B. $46,768

C. $46,139

D. $46,446

Answer 1

Answer: B. 46,768

Explanation: Completing an amortization table would allow us find for the present year the bond carrying amount.

The face amount of the bond multiplied by the coupon rate gives the interest payment. This payment adjusted for the number of installments paid per year is $2,000 which is given by:

50,000 × (8/2)% interest (half the year).

Interest expense is calculated as the effective rate of 5% multiplied by the beginning of the year's carrying value. The difference between the interest payment and interest expense give the amortization of discount.

Carrying Value: 46,139 (A) Value at 1/1/X1

Cash: 2 ,000 &n bsp; (50,000 x .04) (B) Never Changes

Expense: 2,30 6.95 (46,139 x .05) (C)

(B - C) -306.95 (D)

(A - D) 46,445.95 (Carrying Value at 6/30/X1)

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Carrying Value: 46,445.95 (A) Carrying Value at 6/30/X1

Cash: 2,000.0 0 (50,000 x .04) (B) Never Changes

Expense: 2,322.30 (46,445.95 x .05) (C)

(B - C): -322.30 (D)

(A - D): 46,768.25 (Carrying Value at 12/31/X1