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23 July, 10:35

On January 1, 2019, Kelly Corporation acquired bonds with a face value of $500,000 for $483,841.79, a price that yields a 10% effective annual interest rate. The bonds carry a 9% stated rate of interest, pay interest semiannually on June 30 and December 31, are due December 31, 2022, and are being held to maturity. Required: Prepare journal entries to record the purchase of the bonds and the first two interest receipts using the: 1. straight-line method of amortization 2. effective interest method of amortization

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  1. 23 July, 10:40
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    striaght-line method:

    interest expense 24.519,778 debit

    cash 22,500.00 credit

    discount on BP 2,019.78 credit

    --first payment - -

    interest expense 24.519,778 debit

    cash 22,500.00 credit

    discount on BP 2,019.78 credit

    --second payment--

    Effective-rate

    interest expense 24.192.09 debit

    cash 22,500.00 credit

    discount on BP 1,692.09 credit

    --first payment - -

    interest expense 24.276.69 debit

    cash 22,500.00 credit

    discount on BP 1,776.69 credit

    --second payment--

    Explanation:

    First, We sovle for the amount of the discount

    face value 500,000

    proceeds 483,841.79

    discount 16,158.21‬

    under straight line we divide this for the total payments of the loan:

    16,158.21 / 8 payments = 2.019,77625‬

    This will be added to the cash outlay to get interst expense:

    500,000 x 9% / 2 = 22,500

    Now, under effective rate:

    carrying value x market rate = interest expense

    and the difference with the cash outlay is amortization

    483,841.79 x 0.05 = 24,192.09

    cash outlay (22,500)

    amortization 1,692.09

    Then second payment:

    (483,841.79+1,692.09) = fair value = 485.533,88

    485.533,88 x 0.05 = 24.276.69

    cash outlay (22,500)

    amortization 1,776.69
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