Linear Credit Risk Models
Abstract
We introduce a novel class of credit risk models in which the drift of the survival process of a firm is a linear function of the factors. The prices of defaultable bonds and credit default swaps (CDS) are linear-rational in the factors. The price of a CDS option can be uniformly approximated by polynomials in the factors. Multi-name models can produce simultaneous defaults, generate positively as well as negatively correlated default intensities, and accommodate stochastic interest rates. A calibration study illustrates the versatility of these models by fitting CDS spread time series. A numerical analysis validates the efficiency of the option price approximation method.
Cite
@article{arxiv.1605.07419,
title = {Linear Credit Risk Models},
author = {Damien Ackerer and Damir Filipović},
journal= {arXiv preprint arXiv:1605.07419},
year = {2019}
}
Comments
forthcoming in Finance and Stochastics, 49 pages, 3 tables, 8 figures