Dynamic CoVaR Modeling

The popular systemic risk measure CoVaR (conditional Value-at-Risk) is widely used in economics and finance. Formally, it is defined as a large quantile of one variable (e.g., losses in the financial system) conditional on some other variable (e.g., losses in a bank's shares) being in distress....

Full description

Saved in:
Bibliographic Details
Main Authors: Dimitriadis, Timo (Author) , Hoga, Yannick (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 23 Feb 2024
Edition:Version v3
In: Arxiv
Year: 2024, Pages: 1-125
DOI:10.48550/arXiv.2206.14275
Online Access:Verlag, kostenfrei, Volltext: https://doi.org/10.48550/arXiv.2206.14275
Verlag, kostenfrei, Volltext: http://arxiv.org/abs/2206.14275
Get full text
Author Notes:Timo Dimitriadis, Yannick Hoga
Description
Summary:The popular systemic risk measure CoVaR (conditional Value-at-Risk) is widely used in economics and finance. Formally, it is defined as a large quantile of one variable (e.g., losses in the financial system) conditional on some other variable (e.g., losses in a bank's shares) being in distress. In this article, we propose joint dynamic forecasting models for the Value-at-Risk (VaR) and CoVaR. We also introduce a two-step M-estimator for the model parameters drawing on recently proposed bivariate scoring functions for the pair (VaR, CoVaR). We prove consistency and asymptotic normality of our parameter estimator and analyze its finite-sample properties in simulations. Finally, we apply a specific subclass of our dynamic forecasting models, which we call CoCAViaR models, to log-returns of large US banks. It is shown that our CoCAViaR models generate CoVaR predictions that are superior to forecasts issued from current benchmark models.
Item Description:Gesehen am 10.12.2024
Physical Description:Online Resource
DOI:10.48550/arXiv.2206.14275