N.M. Stat. § 21-3-5
[Election of officers; bond of secretary-treasurer.]
Each of such boards shall annually elect one member thereof as president and
another member as secretary and treasurer, and such officers shall hold their offices
until their successors shall be elected and qualified. The secretary and treasurer shall
execute his bond to the state of New Mexico for not less than twenty thousand dollars
[($20,000)], with at least two freehold sureties, residents of the state, which shall be
conditioned for the faithful performance of the duties of such secretary and treasurer,
and shall be approved by the governor and filed in the office of the secretary of state.