(a) The Teachers’ Retirement Fund shall continue in existence and shall be the fund into which the following deposits shall be made, which shall constitute the assets of the fund: (1) Any employee contribution amount paid to the Retirement Board pursuant to subchapter II of Chapter 20 of Title 38, or pursuant to § 38-2061.02; (2) Any asset transferred to the fund under subsection (b) of this section; (3) Any amount appropriated by the District government for the fund in accordance with § 1-905.02; and (4) Any return on investment of assets of the fund. (b) After June 30, 1997, annuities and other retirement and disability benefits (including refunds and lump-sum payments) for the benefits of covered teachers shall become assets of the fund.