Each person is liable to pay taxes and assessments on the real property that, as of December thirty-first of the year preceding the tax year, he owns in fee, for life, or as trustee, as recorded in the public records for deeds of the county in which the property is located, or on the real property that, as of December thirty-first of the year preceding the tax year, he has care of as guardian, executor, or committee or may have the care of as guardian, executor, trustee, or committee.