(b) A judge who is designated a deputy or assistant administrative judge within the city of New York and a judge who is designated an administrative judge for a judicial district or county outside the city of New York shall receive, in addition to his or her judicial salary, the sum of four thousand eight hundred dollars annually as compensation for his or her services as an administrative judge; except that the presiding judge of an appellate term shall receive, in addition to all other compensation, the sum of three thousand dollars annually as compensation for his or her services as an administrative judge.