Charge the market rate against the beginning carrying value, period by period.
$93,537
$4,677
$677
The ties interest expense to the market rate and whatever carrying value is actually outstanding — as the discount amortizes and carrying value rises toward par, interest expense rises with it.
Cash interest stays fixed at $4,000 every period; only the expense and the amortization move. This is the method most textbooks treat as the more accurate one.