An introduction to rating triggers for collateral-inclusive XVA in an ICTMC framework
Risk Management
2022-07-11 v1 Computational Finance
Abstract
In this paper, we model the rating process of an entity as a piecewise homogeneous continuous time Markov chain. We focus specifically on calibrating the model to both historical data (rating transition matrices) and market data (CDS quotes), relying on a simple change of measure to switch from the historical probability to the risk-neutral one. We overcome some of the imperfections of the data by proposing a novel calibration procedure, which leads to an improvement of the entire scheme. We apply our model to compute bilateral credit and debit valuation adjustments of a netting set under a CSA with thresholds depending on ratings of the two parties.
Keywords
Cite
@article{arxiv.2207.03883,
title = {An introduction to rating triggers for collateral-inclusive XVA in an ICTMC framework},
author = {Kevin Kamm},
journal= {arXiv preprint arXiv:2207.03883},
year = {2022}
}