A Filtering Model on Default Risk A filtering model on default risk
Access this Article
Search this Article
In this paper, we present a filtering model on a default risk related to mathematical finance. We regard as the time when a default occurs the first hitting time at zero of a one dimensional process which starts at some positive number and is not directly observed. We discuss the conditional law of the hitting time under imperfect information. We use the reference measure change technique and a new formula on a kind of conditional expectation to obtain a so-called hazard rate process. It is also discussed what the relation between the hazard rate process and the conditional law of the hitting time is like.
- Journal of mathematical sciences, the University of Tokyo
Journal of mathematical sciences, the University of Tokyo 8(1), 107-142, 2001
Graduate School of Mathematical Sciences, The University of Tokyo