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Some Properties of Reflected Backward Stochastic Differential Equations for a Finite State Markov Chain Model

Probability 2015-05-14 v1

Abstract

In this paper, we provide an estimate for the solutions of reflected backward stochastic differential equations (RBSDEs) driven by a Markov chain, derive a continuous dependence property for their solutions with respect to the parameters of the equations, and show similar properties for solutions of backward stochastic differential equations (BSDEs). We finally establish a comparison result for the solutions of RBSDEs driven by a Markov chain.

Keywords

Cite

@article{arxiv.1505.03228,
  title  = {Some Properties of Reflected Backward Stochastic Differential Equations for a Finite State Markov Chain Model},
  author = {Zhe Yang and Dimbinirina Ramarimbahoaka and Robert J. Elliott},
  journal= {arXiv preprint arXiv:1505.03228},
  year   = {2015}
}

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22 pages