The mayor, finance officer, city clerk, or other officer of a code city who is authorized or required by law, charter, or ordinance to execute bonds of the city or any subdivision or district thereof may designate one or more bonded persons to affix such officer’s signature to any bond or bonds requiring his or her signature. If the signature of one of these officers is affixed to a bond during his or her continuance in office by a proxy designated by him or her whose authority has not been revoked, the bond shall be as binding upon the city and all concerned as though the officer had signed the bond in person. This chapter shall apply to all bonds, whether they constitute obligations of the city as a whole or of any local improvement or other district or subdivision thereof, whether they call for payment from the general funds of the city or from a local, special or other fund, and whether negotiable or otherwise.