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BSDE driven by a simple Lévy process with continuous coefficient

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  • El Otmani, Mohamed

Abstract

In this paper, we study the solution of a backward stochastic differential equation driven by a simple Lévy process. We show the existence of a (minimal) solution when the coefficient is continuous with linear growth, or left continuous increasing and bounded.

Suggested Citation

  • El Otmani, Mohamed, 2008. "BSDE driven by a simple Lévy process with continuous coefficient," Statistics & Probability Letters, Elsevier, vol. 78(11), pages 1259-1265, August.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:11:p:1259-1265
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    References listed on IDEAS

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    1. Lepeltier, J. P. & San Martin, J., 1997. "Backward stochastic differential equations with continuous coefficient," Statistics & Probability Letters, Elsevier, vol. 32(4), pages 425-430, April.
    2. Nualart, David & Schoutens, Wim, 2000. "Chaotic and predictable representations for Lévy processes," Stochastic Processes and their Applications, Elsevier, vol. 90(1), pages 109-122, November.
    3. N. El Karoui & S. Peng & M. C. Quenez, 1997. "Backward Stochastic Differential Equations in Finance," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 1-71, January.
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