Answer:
Journal entry to record the bond retirement at Jan 1, 2023
Bond payable Dr $78,000
Loss on redemption Dr $5,265
Discount on bonds payable Cr $1,755
Cash. Cr 81,510
Explanation:
Bonds issued at 97%
$390,000 × 97%
= $378,300
Discount difference between cash proceeds and face value
= $390,000 -$378,300
= $11,700
If bonds are discounted using straight line,
$11,700 ÷ 20 year
= $585
At 2022, there is 5 amortization
= $585 × 5
= $2,925
Discount value
= $11,700 - $2,925
= $8,775
Carrying value
= $390,000 - $8,775
= $381,225
Therefore, $390,000 bonds payable × 20% × 104.5%
= $81,510
Carrying book value of 20%
$381,225 × 20%
= $76,245
Loss on redemption
= $81,510 - $76,245
= $5,265
Therefore,
20% of the face value
= $390,000 × 20%
= $78,000
20% of the discount
= $8,775 × 20%
= $1,755
Loss on redemption = $5,265
Cash disbursement = $81,510