Indiana Code Title 36. Local Government § 36-7-18-7

Sec. 7. (a) The executive or fiscal body appointing the first commissioners of a housing authority shall fix their terms as follows:

After that, appointments to the authority are for a term of four (4) years, except that all vacancies shall be filled for the unexpired term.  A commissioner serves until the commissioner's successor is appointed and qualified.

(b) A certificate for the appointment or reappointment of a commissioner of a housing authority must be filed with the clerk of the fiscal body of the unit.  The certificate is conclusive evidence of the proper appointment of the commissioner.