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Existence and uniqueness results for BSDEs with jumps: the whole nine yards

Author

Listed:
  • Antonis Papapantoleon
  • Dylan Possamai
  • Alexandros Saplaouras

Abstract

This paper is devoted to obtaining a wellposedness result for multidimensional BSDEs with possibly unbounded random time horizon and driven by a general martingale in a filtration only assumed to satisfy the usual hypotheses, i.e. the filtration may be stochastically discontinuous. We show that for stochastic Lipschitz generators and unbounded, possibly infinite, time horizon, these equations admit a unique solution in appropriately weighted spaces. Our result allows in particular to obtain a wellposedness result for BSDEs driven by discrete--time approximations of general martingales.

Suggested Citation

  • Antonis Papapantoleon & Dylan Possamai & Alexandros Saplaouras, 2016. "Existence and uniqueness results for BSDEs with jumps: the whole nine yards," Papers 1607.04214, arXiv.org, revised May 2018.
  • Handle: RePEc:arx:papers:1607.04214
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    References listed on IDEAS

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