Funding of system on actuarial reserve basis. Use of funds.

(b) The board shall determine on an actuarial basis (1) a normal rate of contribution which the state shall be required to make into the retirement fund in order to meet the actuarial cost of current service and (2) the unfunded past service liability. In making such determination the board shall assume that the annual rate of interest earned by the funds of the system invested by the State Treasurer pursuant to section 10-183m equals the total assumed rate of return adopted by the board under the provisions of section 10-183nn . For the first eight years, the funding program for the actuarial reserve basis shall consist of the following percentages of the sum of normal cost and the amount required for a forty-year amortization of unfunded liabilities, provided, if in any such year the amount required to be paid by this section is less than the amount which would be required to fund the system on a terminal basis and to pay the annual cost of benefits payable under subsection (j) of section 10-183g or under other prior legislative adjustments to retirement benefits, the state shall pay the greater amount: