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Using the framework of factor models, we establish the general expression of the coefficient of tail dependence between the market and a stock (i.e., the probability that the stock incurs a large loss, assuming that the market has also…

Statistical Mechanics · Physics 2008-12-10 Y. Malevergne , D. Sornette

Recently, the concept of tail dependence has been discussed in financial applications related to market or credit risk. The multivariate extreme value theory is a proper tool to measure and model dependence, for example, of large loss…

Applications · Statistics 2011-09-27 Marta Ferreira

This book chapter illustrates how to apply extreme value statistics to financial time series data. Such data often exhibits strong serial dependence, which complicates assessment of tail risks. We discuss the two main approches to tail risk…

Risk Management · Quantitative Finance 2024-09-30 Anna Kiriliouk , Chen Zhou

Tail dependence refers to clustering of extreme events. In the context of financial risk management, the clustering of high-severity risks has a devastating effect on the well-being of firms and is thus of pivotal importance in risk…

Applications · Statistics 2016-07-19 Edward Furman , Alexey Kuznetsov , Jianxi Su , Ricardas Zitikis

For a risk vector $V$, whose components are shared among agents by some random mechanism, we obtain asymptotic lower and upper bounds for the individual agents' exposure risk and the aggregated risk in the market. Risk is measured by…

Risk Management · Quantitative Finance 2016-04-12 Oliver Kley , Claudia Kluppelberg

This paper proposes a new measure of tail risk spillover. The empirical application provides evidence of significant volatility and tail risk spillovers from the financial sector to many real economy sectors in the U.S. economy in the…

Risk Management · Quantitative Finance 2022-02-07 Wan-Chien Chiua , Juan Ignacio Peña , Chih-Wei Wang

Measures of tail dependence between random variables aim to numerically quantify the degree of association between their extreme realizations. Existing tail dependence coefficients (TDCs) are based on an asymptotic analysis of relevant…

Applications · Statistics 2021-06-11 Davide Lauria , Svetlozar T. Rachev , A. Alexandre Trindade

We propose a set of dependence measures that are non-linear, local, invariant to a wide range of transformations on the marginals, can show tail and risk asymmetries, are always well-defined, are easy to estimate and can be used on any…

Statistical Finance · Quantitative Finance 2023-09-04 Aleksy Leeuwenkamp , Wentao Hu

Assessing dependence within co-movements of financial instruments has been of much interest in risk management. Typically, indices of tail dependence are used to quantify the strength of such dependence, although many of the indices…

Methodology · Statistics 2022-09-21 Ning Sun , Chen Yang , Ričardas Zitikis

Tracking the build-up of financial vulnerabilities is a key component of financial stability policy. Due to the complexity of the financial system, this task is daunting, and there have been several proposals on how to manage this goal. One…

Statistical Finance · Quantitative Finance 2024-12-19 Katalin Varga , Tibor Szendrei

While environmental, social, and governance (ESG) trading activity has been a distinctive feature of financial markets, the debate if ESG scores can also convey information regarding a company's riskiness remains open. Regulatory…

Risk Management · Quantitative Finance 2021-11-10 Karoline Bax , Özge Sahin , Claudia Czado , Sandra Paterlini

Analysing dependent risks is an important task for insurance companies. A dependency is reflected in the fact that information about one random variable provides information about the likely distribution of values of another random…

Applications · Statistics 2021-03-22 Sen Hu , Adrian O'Hagan

In risk management, tail risks are of crucial importance. The quality of a tail model, which is determined by data from an unknown distribution, depends critically on the subset of data used to model the tail. Based on a suitably weighted…

Methodology · Statistics 2021-01-19 Ingo Hoffmann , Christoph J. Börner

In this paper, we study dependence uncertainty and the resulting effects on tail risk measures, which play a fundamental role in modern risk management. We introduce the notion of a regular dependence measure, defined on multi-marginal…

Risk Management · Quantitative Finance 2024-06-28 Corrado De Vecchi , Max Nendel , Jan Streicher

Due to globalization and relaxed market regulation, we have assisted to an increasing of extremal dependence in international markets. As a consequence, several measures of tail dependence have been stated in literature in recent years,…

Statistics Theory · Mathematics 2011-08-10 Helena Ferreira , Marta Ferreira

This paper introduces a novel measure to quantify the directional dependence of extreme events between two variables. The proposed approach is designed to capture asymmetric tail dependence by studying conditional tail expectations of…

Methodology · Statistics 2026-04-06 Matthieu Garcin , Maxime L. D. Nicolas

We introduce a new stochastic order for the tail dependence between random variables. We then study different measures of tail dependence which are monotone in the proposed order, thereby extending various known tail dependence coefficients…

Risk Management · Quantitative Finance 2022-08-23 Karl Friedrich Siburg , Christopher Strothmann , Gregor Weiß

In this paper we consider a multivariate model-based approach to measure the dynamic evolution of tail risk interdependence among US banks, financial services and insurance sectors. To deeply investigate the risk contribution of insurers we…

Risk Management · Quantitative Finance 2014-04-17 M. Bernardi , L. Petrella

We propose a novel probabilistic model to facilitate the learning of multivariate tail dependence of multiple financial assets. Our method allows one to construct from known random vectors, e.g., standard normal, sophisticated joint…

Risk Management · Quantitative Finance 2020-01-14 Xing Yan , Qi Wu , Wen Zhang

Tail Gini functional is a measure of tail risk variability for systemic risks, and has many applications in banking, finance and insurance. Meanwhile, there is growing attention on aymptotic independent pairs in quantitative risk…

Methodology · Statistics 2023-09-13 Zhaowen Wang , Liujun Chen , Deyuan Li
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