Answer:
$3,565,174.18
Explanation:
Firstly, we need to calculate discount on the bond
Discount = $80,000,000 - $59,249,660
= $20,750,340
Since interest is paid semi-annually,
= 15 × 2
= 30 periods
Finding the amortized discount per period, we have;
= $20,750,340 ÷ 30
= $691,678
Therefore, interest expense on June 31;
Interest expense = Interest paid + discount amortized per period
= $80,000,000 × 0.05 × 6/22 + $691,678
= $1,090,909.09 + $691,678
= $1,782,587.09
Interest expense on December 31;
= $80,000 × 0.05 × 6/12 + $691,678
= $1,090,909.09 + $691,678
=$1,782,587.09
Total expense on December 31 = Interest expense on June 30 + Interest expense on December 31
= $1,782,587.09 + $1,782,587.09
= $3,565,174.18