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Progressive enlargement of ltrations and Backward SDEs with jumps
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kharroubi, Idris Lim, Thomas |
| Copyright Year | 2011 |
| Abstract | This work deals with backward stochastic dierential equation (BSDE) with random marked jumps, and their applications to default risk. We show that these BSDEs are linked with Brownian BSDEs through the decomposition of processes with respect to the progressive enlargement of ltrations. We prove that the equations have solutions if the associated Brownian BSDEs have solutions. We also provide a uniqueness theorem for BSDEs with jumps by giving a comparison theorem based on the comparison for Brownian BSDEs. We give in particular some results for quadratic BSDEs. As applications, we study the pricing and the hedging of a European option in a market with a single jump, and the utility maximization problem in an incomplete market with a nite number of jumps. |
| Starting Page | 683 |
| Ending Page | 724 |
| Page Count | 42 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10959-012-0428-1 |
| Volume Number | 27 |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-01103709/document |
| Alternate Webpage(s) | https://www.ceremade.dauphine.fr/~idris/Publications/KL12.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/1101.2815v2.pdf |
| Alternate Webpage(s) | http://hal.inria.fr/docs/00/70/36/79/PDF/Rev4-Progressive_enlargement_filtrations_BSDEs.pdf |
| Alternate Webpage(s) | http://www.maths.univ-evry.fr/prepubli/343.pdf |
| Alternate Webpage(s) | http://web4.ensiie.fr/~thomas.lim/KL10.pdf |
| Alternate Webpage(s) | https://www.maths.univ-evry.fr/prepubli/343.pdf |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00555787v1/document |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
