English

Reflected Advanced Backward Stochastic Differential Equations with Default

Optimization and Control 2018-03-21 v1

Abstract

We are interested on reflected advanced backward stochastic differential equations (RABSDE) with default. By the predictable representation property and for a Lipschitz driver, we show that the RABSDE with default has a unique solution in the enlarged filtration. A comparison theorem for such type of equations is proved. Finally, we give a connection between RABSDE and optimal stopping.

Keywords

Cite

@article{arxiv.1803.07444,
  title  = {Reflected Advanced Backward Stochastic Differential Equations with Default},
  author = {N. Agram and S. Labed and B. Mansouri and M. A. Saouli},
  journal= {arXiv preprint arXiv:1803.07444},
  year   = {2018}
}
R2 v1 2026-06-23T00:58:55.494Z