Defaultable bonds with an infinite number of Levy factors
Computational Finance
2009-09-24 v1
Abstract
A market with defaultable bonds where the bond dynamics is in a Heath-Jarrow-Morton setting and the forward rates are driven by an infinite number of Levy factors is considered. The setting includes rating migrations driven by a Markov chain. All basic types of recovery are investigated. We formulate necessary and sufficient conditions (generalized HJM conditions) under which the market is arbitrage free. Connections with consistency conditions are discussed.
Keywords
Cite
@article{arxiv.0909.4089,
title = {Defaultable bonds with an infinite number of Levy factors},
author = {Jacek Jakubowski and Mariusz Nieweglowski},
journal= {arXiv preprint arXiv:0909.4089},
year = {2009}
}
Comments
24 pages