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The Bradford Company issued 12% bonds, dated January 1, with a face amount of $87 million on January 1, 2021. The bonds mature on December 31, 2030 (10 years). For bonds of similar risk and maturity, the market yield is 14%. Interest is paid semiannually on June 30 and December 31. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) Required: 1. Determine the price of the bonds at January 1, 2021. 2. to 4. Prepare the journal entries to record their issuance by The Bradford Company on January 1, 2021, interest on June 30, 2021 and interest on December 31, 2021 (at the effective rate).

Sagot :

Answer:

1. $77,783,220

2. Jan-21

Dr Cash $ $77,783,220

Dr Discount On Bond $9,216,780

Cr Bond Payable $ $87,000,000

Explanation:

1. Calculation to Determine the price of the bonds at January 1, 2021.

First step is to calculate the Present Value Of Annual Interest

a Semi-annual Interest Amount $5,220,000

($87,000,000*12%/2)

b PV Annuity Factor for (20 Years,14%/2=7%) 10.5940

c Present Value Of Annual Interest (a*b) $ $55,300,680

($5,220,000*10.5940)

Second step is to calculate Present Value Of Redemption Amount

a Redemption Value $ $87,000,000

b PV Factor Of (20 Years,7%) 0.25842

c Present Value Of Redemption Amount (a*b) $ $22,482,540

($87,000,000*0.25842 )

Now let Determine the price of the bonds at January 1, 2021.

Intrinsic Value ( Price ) Of The Bond = ($55,300,680+$22,482,540)

Intrinsic Value ( Price ) Of The Bond =$77,783,220

Therefore the price of the bonds at January 1, 2021 is $77,783,220

2. Preparation of the journal entries to record their issuance by The Bradford Company on January 1, 2021,

Jan-21

Dr Cash $ $77,783,220

Dr Discount On Bond $9,216,780

($87,000,000-$77,783,220)

Cr Bond Payable $ $87,000,000

(Being to record issuance of bond)

3. Preparation of the journal entries to record their issuance by The Bradford Company on ion June 30, 2021

Jun-30

Dr Interest expenses $ 53,82,240

Discount On Bond payable $ 2,22,240

Cash $5,220,000

4.Preparation of the journal entries to record their issuance by The Bradford Company on

December 31, 2021

Dec-31 Interest expenses $ 53,97,797

Discount On Bond payable $ 2,37,797

Cash $5,220,000

( to record interest payment)