Answer:
$3,289.5
Explanation:
The computation of the amount of recorded interest expense for the first semiannual interest period is shown below:-
Amortization of premium = Premium amount ÷ Number of semi-annual periods
where
Premium amount = Par value - issue price
= $102,105 - $100,000
= $2,105
Number of semi-annual periods = 5 × 2
= 10 periods
Amortization of premium = $2,105 ÷ 10
= 210.5
Semi-annual interest expense = Face value × Coupon rate × (6 ÷ 12)
= $100,000 × 7% × (6 ÷ 12)
= $3,500
First semi-annual interest expense = $3,500 - 210.5
= $3,289.5