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13 October, 13:51

On January 1, Year 1 Residence Company issued bonds with a $50,000 face value. The bonds were issued at 96 offering a 4% discount. They had a 20 year term, a stated rate of interest of 7%, and an effective rate of interest of 7.389%. Assuming Residence uses the effective interest rate method, the carrying value of the bond liability on January 1, Year 1 is (round any necessary computations to the nearest whole dollar) (A) $3,499 (B) $3,500 (C) $3,547 (D) $3,600

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  1. 13 October, 15:02
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    caring value of bond liability is $48000

    interest expense = $3547

    annual coupon = 3500

    amount of bond discount amortization is $47

    Explanation:

    given data

    face value = $50,000

    bonds issue = 96

    discount = 4%

    time = 20 year

    interest = 7%

    effective rate of interest = 7.389%

    to find out

    compound annual coupon

    solution

    we have given face value and discount 4 %

    so issue price will be

    issue price = 96% of face value

    issue value = 96% * 50000 = $48000

    and

    interest expense is here by effective interest rate is

    interest expense = 7.389% of $48000

    interest expense = $3547

    and

    annual coupon is here

    annual coupon is 7% of face value

    annual coupon = 7% * 50000

    annual coupon = 3500

    and

    amount of bond discount amortization is 3547 - 3500 = $47
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