Filtration-Consistent Dynamic Operator with a Floor and Associated Reflected Backward Stochastic Differential Equations

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/108975This paper introduces the notion of a filtration-consistent dynamic operator with a floor, by suitably formulating four axioms. It is shown that under some suitable conditions, a filtration-consistent dynamic operator with a continuous upper-bounded floor is necessarily represented by the solution of a backward stochastic differential equation reflected upwards on the floor.25 pagesProbability60H10; 60H30Filtration-Consistent Dynamic Operator with a Floor and Associated Reflected Backward Stochastic Differential Equationstext