All property, both real and personal, acquired or owned by a metropolitan housing authority and used for the purposes of exercising the powers set forth in sections 3735.27 to 3735.50 of the Revised Code, shall be public property used exclusively for a public purpose within the meaning of Section 2 of Article XII, Ohio Constitution, and shall be exempt from all taxation. All accounting and other transactions of the authority shall be subject to audit by the auditor of state.