(A) When ownership of personal property required to be titled by a state or federal agency, not including motor vehicles taxed pursuant to Article 21 of this chapter or units of manufactured housing, is transferred, the transferor’s property tax year for the property ends on the transfer date and a new property tax year begins for the transferee. When the actual transfer date is not the first day of the month, for purposes of this section, the transfer date is deemed to be the first day of the next month. The auditor shall prepare prorated tax bills for each partial tax year and the transferor and transferee are liable only for that tax attributable to their respective periods of ownership and the lien for payment of property taxes is enforceable only for the collection of the taxes due from the transferee.

(B) The provisions of this section apply only if the transferor files with the appropriate county auditor before the first penalty date for property taxes a form designed by the Department of Revenue, signed by the transferee in which the transferor assumes personal liability for his share of the taxes, and which provides that information necessary to prorate and bill the taxes. These prorated tax bills are due and payable as provided by law to the treasurer of the county where the tax would be due without regard to this section. The appropriate county auditor is the auditor of the county which is the situs of the property, or if the transferor is a resident individual, the auditor of the county of the transferor’s domicile.