This paper addresses the problem of providing absolute delay variation guarantees in passive optical networks and their optical coding enhanced counterparts. We analyze the components of frame delay variation in these settings and propose a dynamic bandwidth allocation algorithm that provides the optical line terminal with mechanisms to ensure that frame delay variation never breaches a predefined value. Furthermore, we provide simulation results and analyses to show that the proposed algorithm does not breach delay variation bounds. We also provide a lower bound analysis for providing absolute delay variation guarantees for both scenarios and show the duality between absolute delay and delay variation guarantees.