On Markovian solutions to Markov Chain BSDEs
We study (backward) stochastic differential equations with noise coming from a finite state Markov chain. We show that, for the solutions of these equations to be `Markovian', in the sense that they are deterministic functions of the state of the underlying chain, the integrand must be of a specific form. This allows us to connect these equations to coupled systems of ODEs, and hence to give fast numerical methods for the evaluation of Markov-Chain BSDEs.
Year of publication: |
2011-11
|
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Authors: | Cohen, Samuel N. ; Szpruch, Lukasz |
Institutions: | arXiv.org |
Saved in:
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