(a) At such time as a public depository joins the collateral pool, the state treasurer is empowered to assume responsibility as successor pledgee of any and all collateral pledged on or after July 1, 1992, to individual public depositors by that public depository. The state treasurer is further empowered to assume responsibility as successor pledgee of any and all collateral pledged prior to July 1, 1992, to individual public depositors by such public depository, upon the written consent of the public depositors.
(b) Upon assuming responsibility as successor pledgee as provided in subsection (a), the state treasurer is empowered to sign such documents on behalf of individual public depositors as may be required by a trustee custodian.