N.M. Stat. § 22-19-15
In authorizing any bonds pursuant to the School Revenue Bond Act, a local school board, in its authorization resolution, may provide for exchange of any bonds issued for refunding bonds of larger or smaller denominations. Refunding bonds in the changed denominations shall be exchanged for the original bonds in the same aggregate principal amounts so that there is no overlapping of interest paid. Refunding bonds in changed denominations shall bear interest at the same rates, mature on the same dates, be in the same form and be identical with the original bonds surrendered for exchange in all respects except as to denominations, serial numbers and a recital as to the exchange. Where any exchange of bonds is made pursuant to the School Revenue Bond Act, the bonds surrendered by the holders at the time of exchange shall be cancelled [canceled]. The exchange shall be made only at the request of the holder of the bond to be surrendered, and the local school board may require the holder of the bond to pay all expenses incurred in connection with the exchange, including those of authorization and issuance of the refunding bonds.
NMS § 22-19-15