(a) Each state employee who is a member of the state employees retirement system, part B, and who elected to become a part B member after having been a part A member, shall, upon payment to the state employees retirement system of a sum computed by the State Employees Retirement Commission to be the equivalent of the amount he would have had to his credit in the retirement system but for his election to join part B, upon retirement, be entitled to a retirement salary computed as if his membership in part A had been continuous until the time of his retirement, provided he shall, from the date of his election to make such payment, contribute the same percentage of his salary to the retirement system as is provided in section 5-161 for members of the state retirement system not covered under Social Security and shall pay his required employee’s Social Security contribution.

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(b) The sum to be paid to the retirement system by a state employee under subsection (a) of this section shall be without interest and may be made in accordance with a payment schedule as may be established by the State Employees Retirement Commission.