On January 1, 2021, Bishop Company issued 6% bonds dated January 1, 2021, with a face amount of $33 million. The bonds mature in 2033 (10 years). For bonds of similar risk and maturity, the market yield is 8%. Interest is paid semiannually on June 30 and December 31. Required:
a. Determine the price of the bonds at January 1, 2021.
b. Prepare the journal entry to record the bond issuance by Bishop on January 1, 2021.
c. Prepare the journal entry to record interest on June 30, 2021, using the effective interest method.
d. Prepare the journal entry to record interest on December 31, 2021, using the effective interest method.

a. Determine the price of the bonds at January 1, 2021.

market price:

PV of face value = $33,000,000 / 1.04²⁰ = $15,060,769

PV of coupon payments = $990,000 x 13.590 (PV annuity factor, 4%, 20 periods) = $13,454,100

market price = $28,514,869

b. Prepare the journal entry to record the bond issuance by Bishop on January 1, 2021.

Dr Cash 28,514,869

Dr Discount on bonds payable 4,485,131

    Cr Bonds payable 33,000,000

c. Prepare the journal entry to record interest on June 30, 2021, using the effective interest method.

amortization of bond discount = ($28,514,869 x 4%) - $990,000 = $150,595

Dr Interest expense 1,140,595

    Cr Cash 990,000

    Cr Discount on bonds payable 150,595

d. Prepare the journal entry to record interest on December 31, 2021, using the effective interest method.

amortization of bond discount = ($28,665,464 x 4%) - $990,000 = $156,619

Dr Interest expense 1,146,619

    Cr Cash 990,000

    Cr Discount on bonds payable 156,619

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