First passage time law for some L\'evy processes with compound Poisson: Existence of a conditional density with incomplete observation
Probability
2014-11-25 v2
Abstract
We study the default risk in incomplete information. That means, we model the value of a firm by one L\'evy process which is the sum of brownian motion with drift and compound Poisson process. This L\'evy process can not be observed completely and we let an other process which representes the available information on the firm. We obtain an equation safisfied by the conditional density of the default time given the available information and closed form expression for the density.
Keywords
Cite
@article{arxiv.1402.2000,
title = {First passage time law for some L\'evy processes with compound Poisson: Existence of a conditional density with incomplete observation},
author = {Waly Ngom},
journal= {arXiv preprint arXiv:1402.2000},
year = {2014}
}
Comments
18 pages