Download or read book Quantitative Analysis of Extreme Risks and Extremal Dependence in Insurance and Finance written by Hengxin Cui and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we aim at a quantitative understanding of extreme risks and extremal depen- dence in insurance and finance. We use regularly varying distribution functions in extreme value theory (EVT) to model extreme risks, and apply various tools in multivariate extreme value theory (MEVT) to capture extremal dependence. We focus on developing asymptotics for certain risk measures. We start with a portfolio diversification problem. In finance, investors usually construct a mixed portfolio in order to diversify away the individual risks. However, this is not always the case when heavy-tailedness and tail dependence of large losses are considered. Chapter 3 applies the multivariate regular variation (MRV) model to study this problem in an asymptotic sense and provides an applicable portfolio optimization strategy. A practical performance test for our strategy is also provided in this Chapter. The mainstream of the literature on the limitation of portfolio diversification follows the assumption that risks have unbounded distribution support, i.e., no cap for potential loss. However, real-world firms usually have limited liability. Then a natural question arises whether the non-diversification effect strictly depends on the tail behaviour of the loss distribution. For risks with bounded support, will similar non-diversification results still exist? We answer this question in Chapter 4 and we argue that diversification is still possible to be inferior as long as the risks are truncated at sufficiently large threshold level. In Chapter 5, we consider the risk of a large credit portfolio of multiple obligors subject to possible default. Contrary to the Gaussian and t copulas that are widely used in practice, we assume a portfolio dependence structure of Archimedean copula type. Under this setting, we derive sharp asymptotics for portfolio credit risk that highlight the impact of extremal dependence among obligors. By utilizing these asymptotic results, we propose two different algorithms that are shown to be asymptotically optimal and can be applied to efficiently estimate portfolio credit risk via Monte Carlo simulation. In order to capture hierarchical dependence structure among the obligors in a large credit portfolio, we also extend our asymptotic analysis to the structure of nested Gumbel copulas and an efficient algorithm of bounded relative error is also developed for this more complex structure. Numerical results are provided at the end of the chapter to illustrate the performance of our algorithms, as well as their respective merits.
Download or read book Extreme Financial Risks written by Yannick Malevergne and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Clearly elucidates extreme financial risks associated with rare events such as financial crashes. The highlight of the book is the delineation of various copulas in conjunction with financial dependences among different assets of a portfolio. In particular, the insightful discussion on quadrant and orthant dependences casts new light on the connection between marginal models and financial dependence...brings a vivid portrayal of the subject." -- MATHEMATICAL REVIEWS
Download or read book Quantitative Analysis of Extreme Risks in Insurance and Finance written by Zhongyi Yuan and published by . This book was released on 2013 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a discrete-time risk model in which the insurer is allowed to invest a proportion of its wealth in a risky stock and keep the rest in a risk-free bond. Assume that the claim amounts within individual periods follow an autoregressive process with heavy-tailed innovations and that the log-returns of the stock follow another autoregressive process, independent of the former one. We derive an asymptotic formula for the finite-time ruin probability and propose a hybrid method, combining simulation with asymptotics, to compute this ruin probability more efficiently. As an application, we consider a portfolio optimization problem in which we determine the proportion invested in the risky stock that maximizes the expected terminal wealth subject to a constraint on the ruin probability.
Download or read book High Risk Scenarios and Extremes written by A. A. Balkema and published by European Mathematical Society. This book was released on 2007 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Quantitative Risk Management (QRM) has become a field of research of considerable importance to numerous areas of application, including insurance, banking, energy, medicine, reliability. Mainly motivated by examples from insurance and finance, the authors develop a theory for handling multivariate extremes. The approach borrows ideas from portfolio theory and aims at an intuitive approach in the spirit of the Peaks over Thresholds method. The point of view is geometric. It leads to a probabilistic description of what in QRM language may be referred to as a high risk scenario: the conditional behaviour of risk factors given that a large move on a linear combination [portfolio, say] has been observed. The theoretical models which describe such conditional extremal behaviour are characterized and their relation to the limit theory for coordinatewise maxima is explained." "The book is based on a graduate course on point processes and extremes. It could form the basis for an advanced course on multivariate extreme value theory or a course on mathematical issues underlying risk. Students in statistics and finance with a mathematical, quantitative background are the prime audience. Actuaries and risk managers involved in data based risk analysis will find the models discussed in the book stimulating. The text contains many indications for further research."--BOOK JACKET.
Download or read book Extreme Events in Finance written by Francois Longin and published by John Wiley & Sons. This book was released on 2016-09-30 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the growing importance of extreme value risk theory, methods, and applications in the financial sector Presenting a uniquely accessible guide, Extreme Events in Finance: A Handbook of Extreme Value Theory and Its Applications features a combination of the theory, methods, and applications of extreme value theory (EVT) in finance and a practical understanding of market behavior including both ordinary and extraordinary conditions. Beginning with a fascinating history of EVTs and financial modeling, the handbook introduces the historical implications that resulted in the applications and then clearly examines the fundamental results of EVT in finance. After dealing with these theoretical results, the handbook focuses on the EVT methods critical for data analysis. Finally, the handbook features the practical applications and techniques and how these can be implemented in financial markets. Extreme Events in Finance: A Handbook of Extreme Value Theory and Its Applications includes: Over 40 contributions from international experts in the areas of finance, statistics, economics, business, insurance, and risk management Topical discussions on univariate and multivariate case extremes as well as regulation in financial markets Extensive references in order to provide readers with resources for further study Discussions on using R packages to compute the value of risk and related quantities The book is a valuable reference for practitioners in financial markets such as financial institutions, investment funds, and corporate treasuries, financial engineers, quantitative analysts, regulators, risk managers, large-scale consultancy groups, and insurers. Extreme Events in Finance: A Handbook of Extreme Value Theory and Its Applications is also a useful textbook for postgraduate courses on the methodology of EVTs in finance.
Download or read book Extreme Value Analysis of Actuarial Risks written by Holger Drees and published by . This book was released on 2011 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: We give an overview of several aspects arising in the statistical analysis of extreme risks with actuarial applications in view. In particular it is demonstrated that empirical process theory is a very powerful tool, both for the asymptotic analysis of extreme value estimators and to devise tools for the validation of the underlying model assumptions. While the focus of the paper is on univariate tail risk analysis, the basic ideas of the analysis of the extremal dependence between different risks are also outlined. Here we emphasize some of the limitations of classical multivariate extreme value theory and sketch how a different model proposed by Ledford and Tawn can help to avoid pitfalls. Finally, these theoretical results are used to analyze a data set of large claim sizes from health insurance.
Download or read book Risk Ruin and Survival written by Ricardas Zitikis and published by MDPI. This book was released on 2020-04-02 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing techniques for assessing various risks and calculating probabilities of ruin and survival are exciting topics for mathematically-inclined academics. For practicing actuaries and financial engineers, the resulting insights have provided enormous opportunities but also created serious challenges to overcome, thus facilitating closer cooperation between industries and academic institutions. In this book, several renown researchers with extensive interdisciplinary research experiences share their thoughts that, in one way or another, contribute to the betterment of practice and theory of decision making under uncertainty. Behavioral, cultural, mathematical, and statistical aspects of risk assessment and modelling have been explored, and have been often illustrated using real and simulated data. Topics range from financial and insurance risks to security-type risks, from one-dimensional to multi- and even infinite-dimensional risks. The articles in the book were written with a broad audience in mind and should provide enjoyable reading for those with university level degrees and/or those who have studied for accreditation by various actuarial and financial societies.
Download or read book Extreme Value Modeling and Risk Analysis written by Dipak K. Dey and published by CRC Press. This book was released on 2016-01-06 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extreme Value Modeling and Risk Analysis: Methods and Applications presents a broad overview of statistical modeling of extreme events along with the most recent methodologies and various applications. The book brings together background material and advanced topics, eliminating the need to sort through the massive amount of literature on the subje
Download or read book Mathematical and Statistical Methods for Insurance and Finance written by Cira Perna and published by Springer Science & Business Media. This book was released on 2007-12-12 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction between mathematicians and statisticians reveals to be an effective approach to the analysis of insurance and financial problems, in particular in an operative perspective. The Maf2006 conference, held at the University of Salerno in 2006, had precisely this purpose and the collection published here gathers some of the papers presented at the conference and successively worked out to this aim. They cover a wide variety of subjects in insurance and financial fields.
Download or read book Risk Analysis in Finance and Insurance written by Alexander Melnikov and published by CRC Press. This book was released on 2004-06-02 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, financial and insurance risks were separate subjects most often analyzed using qualitative methods. The development of quantitative methods based on stochastic analysis is an important achievement of modern financial mathematics, one that can naturally be extended and applied in actuarial mathematics. Risk Analysis in Finance and Insurance offers the first comprehensive and accessible introduction to the ideas, methods, and probabilistic models that have transformed risk management into a quantitative science and led to unified methods for analyzing insurance and finance risks. The author's approach is based on a methodology for estimating the present value of future payments given current financial, insurance, and other information, which leads to proper, practical definitions of the price of a financial contract, the premium for an insurance policy, and the reserve of an insurance company. Self-contained and full of exercises and worked examples, Risk Analysis in Finance and Insurance serves equally well as a text for courses in financial and actuarial mathematics and as a valuable reference for financial analysts and actuaries. Ancillary electronic materials will be available for download from the publisher's Web site.
Download or read book Quantitative Risk Management written by Rudiger Frey and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Risk Analysis written by Ludger Rüschendorf and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author's particular interest in the area of risk measures is to combine this theory with the analysis of dependence properties. The present volume gives an introduction of basic concepts and methods in mathematical risk analysis, in particular of those parts of risk theory that are of special relevance to finance and insurance. Describing the influence of dependence in multivariate stochastic models on risk vectors is the main focus of the text that presents main ideas and methods as well as their relevance to practical applications. The first part introduces basic probabilistic tools and methods of distributional analysis, and describes their use to the modeling of dependence and to the derivation of risk bounds in these models. In the second, part risk measures with a particular focus on those in the financial and insurance context are presented. The final parts are then devoted to applications relevant to optimal risk allocation, optimal portfolio problems as well as to the optimization of insurance contracts. Good knowledge of basic probability and statistics as well as of basic general mathematics is a prerequisite for comfortably reading and working with the present volume, which is intended for graduate students, practitioners and researchers and can serve as a reference resource for the main concepts and techniques.
Download or read book Asymptotic Analysis of Dependent Risks and Extremes in Insurance and Finance written by Jiajun Liu and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Risk Revealed written by Paul Embrechts and published by Cambridge University Press. This book was released on 2024-04-30 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: A widely accessible treatment on risk that uses numerous examples to demonstrate the types of questions statistical modeling can answer.
Download or read book Encyclopedia of Quantitative Risk Analysis and Assessment written by and published by John Wiley & Sons. This book was released on 2008-09-02 with total page 2163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading the way in this field, the Encyclopedia of Quantitative Risk Analysis and Assessment is the first publication to offer a modern, comprehensive and in-depth resource to the huge variety of disciplines involved. A truly international work, its coverage ranges across risk issues pertinent to life scientists, engineers, policy makers, healthcare professionals, the finance industry, the military and practising statisticians. Drawing on the expertise of world-renowned authors and editors in this field this title provides up-to-date material on drug safety, investment theory, public policy applications, transportation safety, public perception of risk, epidemiological risk, national defence and security, critical infrastructure, and program management. This major publication is easily accessible for all those involved in the field of risk assessment and analysis. For ease-of-use it is available in print and online.
Download or read book IMF Staff Papers Volume 51 No 2 written by International Monetary Fund. Research Dept. and published by International Monetary Fund. This book was released on 2004-07-29 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second issue for 2004 contains 8 new papers, including notable contributions from: Nancy Brune, Geoffrey Garrett, and Bruce Kogut on the global spread of privatization; and Mark P. Taylor and Elena T. Branson on asymmetric arbitrage and default premiums in the U.S. and Russian markets. Other papers in the issue look at German wage structures, contagion in equity markets, export orientation and productivity in Sub-Saharan Africa, the role of higher vs. basic education in economic development, and issues related to capital account liberalization.
Download or read book Risk Analysis in Finance and Insurance written by Alexander Melnikov and published by Chapman and Hall/CRC. This book was released on 2004 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, financial and insurance risks were separate subjects most often analyzed using qualitative methods. The development of quantitative methods based on stochastic analysis is an important achievement of modern financial mathematics, one that can naturally be extended and applied in actuarial mathematics. Risk Analysis in Finance and Insurance offers the first comprehensive and accessible introduction to the ideas, methods, and probabilistic models that have transformed risk management into a quantitative science and led to unified methods for analyzing insurance and finance risks. The author's approach is based on a methodology for estimating the present value of future payments given current financial, insurance, and other information, which leads to proper, practical definitions of the price of a financial contract, the premium for an insurance policy, and the reserve of an insurance company. Self-contained and full of exercises and worked examples, Risk Analysis in Finance and Insurance serves equally well as a text for courses in financial and actuarial mathematics and as a valuable reference for financial analysts and actuaries. Ancillary electronic materials will be available for download from the publisher's Web site.
