Alaska Stat. § 15.20.450
The application must include a deposit in cash, by certified check, or by bond with a surety approved by the director. The amount of the deposit is $1,000 for each precinct, $2,000 for each house district, and $15,000 for the entire state. If the recount includes an office for which candidates received a tie vote, or the difference between the number of votes cast was 20 or less or was less than .5 percent of the total number of votes cast for the two candidates for the contested office, or a question or proposition for which there was a tie vote on the issue, or the difference between the number of votes cast in favor of or opposed to the issue was 20 or less or was less than .5 percent of the total votes cast in favor of or opposed to the issue, the application need not include a deposit, and the state shall bear the cost of the recount. If, on the recount, a candidate other than the candidate who received the original election certificate is declared elected, or if the vote on recount is determined to be four percent or more in excess of the vote reported by the state review for the candidate applying for the recount or in favor of or opposed to the question or proposition as stated in the application, the entire deposit shall be refunded. If the entire deposit is not refunded, the director shall refund any money remaining after the cost of the recount has been paid from the deposit.
AS 15.20.450