N.M. Stat. § 58-3-1
Interest on accounts.
A. A state bank may maintain time and savings deposit accounts and pay interest
on balances therein at rates which need not be uniform. The director of the financial
institutions division may, by general regulation, fix maximum rates of interest.
B. Time or savings account deposits shall be repaid to depositors under regulations
adopted by the board of directors from time to time. These shall be available at the bank
for inspection by depositors upon request, and depositors shall be so informed.