N.M. Stat. § 56-8-3
Interest rate; no written contract.
The rate of interest, in the absence of a written contract fixing a different rate, shall
be not more than fifteen percent annually in the following cases:
A. on money due by contract;
B. on money received to the use of another and retained without the owner's
consent expressed or implied; and
C. on money due upon the settlement of matured accounts from the day the
balance is ascertained.