N.Y. Public Officers Law § 38: Terms of officers chosen to fill vacancies

§ 38. Terms of officers chosen to fill vacancies. If an appointment of

a person to fill a vacancy in an appointive office be made by the

officer, or by the officers, body or board of officers, authorized to

make appointment to the office for the full term, the person so

appointed to such vacancy shall hold office for the balance of the

unexpired term. The term of office of an officer appointed to fill a

vacancy in an elective office, shall be until the commencement of the

political year next succeeding the first annual election after the

happening of the vacancy, if the office be made elective by the

constitution, or at which the vacancy can be filled by election, if the

office be otherwise made elective.