N.M. Stat. § 39-5-21
When any real estate shall be sold under a writ of execution issued out of the district court upon any money judgment against a defendant or defendants, the defendants or any one defendant, where there shall be more than one defendant, the heirs, personal representatives or assigns of said defendant or defendants may redeem the property within nine months after the sale thereof, by paying to the purchaser, his personal representatives or assigns, the amount paid with interest thereon at the rate of ten per centum per annum from the date of sale, together with any and all taxes, penalties and interest thereon paid by the purchaser, together with ten per centum interest per annum upon the amount so paid for taxes, interest and penalties from the date of payment, or by making deposit of like amount in cash in the office of the clerk of the district court out of which such writ of execution was issued, at any time within nine months from the date of sale.
NMS § 39-5-21