Yup, that works. Sometimes they'll offer incentives and expect to make more money via interest. But there's nothing wrong with paying it all down up front. Some loans have prepayment penalties, but it's not common. Check your agreement though to be sure.

$10k at 7.39% means you pay $10,000 × 7.39%/12 = $62 in interest in that first month, so $62 total if you pay it off by that first due date.