Whenever any state bank is closed and the federal deposit insurance corporation has paid or made available for payment the insured deposit liabilities of the closed institution, the corporation, regardless of whether it has become liquidating agent, shall be and become subrogated to all rights against the closed bank of the owners of the deposits in the same manner and to the same extent as subrogation of the corporation is provided for in subsection (1) of § 12B of the Federal Reserve Act, § 8 of the Banking Act of 1933, in the case of the closing of a national bank, and shall be generally subrogated to all rights of the depositors as provided by the laws of Tennessee; provided, that the rights of depositors and other creditors of the closed institution shall be determined in accordance with the applicable provisions of the laws of this state.