N.M. Stat. § 4-44-35
Deputy county officers; oaths; bonds.
Before assuming the duties of his office, each deputy county officer shall take and
subscribe the oath of office prescribed by the constitution for county officers. The board
of county commissioners may cause to be bonded the deputy or deputies of the various
county officials who are not otherwise required to be bonded. These bonds shall be in
amounts fixed by the board of county commissioners in a sum equal to twenty percent
of the public money handled during the preceding fiscal year and conditioned for the
faithful performance of his duties, but in no event shall the amount be greater than the
maximum prescribed by law for the appropriate elected officer. The bonds shall be
executed by corporate surety companies authorized to do business in this state and the
premiums shall be paid from the county general fund. Deputy county officers may be
individually bonded or included within the coverage under any schedule or blanket
corporate surety bond procured by the board of county commissioners.