Download or read book Capital Allocation for Set Valued Risk Measures written by Francesca Centrone and published by . This book was released on 2019 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce the notion of set-valued Capital Allocation rule, and study Capital allocation principles for multivariate set-valued coherent and convex risk measures. We compare these rules with some of those mostly used for univariate (single-valued) risk measures.

Download or read book Risk Measures and Capital Allocation Principles for Risk Management written by Ying Wang and published by . This book was released on 2016 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk measures (or premium principles) and capital allocation principles play a signicant role in risk management. Regulators and companies in the financial markets usually adopt an appropriate risk measure, for example, Value-at-Risk (VaR) or Tail Value-at-Risk (TVaR), to determine the benchmarks. However, these risk measures are determined from the loss functions with constant weights, not random weight functions. This thesis proposes new approaches to determine risk measures from two perspectives. Firstly, we will generalize the definition of the tail subadditivity for distortion risk measures; we define the generalized GlueVaR (a linear combination of VaR and TVaRs) to approach any coherent distortion risk measure. Secondly, we will research the risk measures (or premium principles) and capital allocation principles based on the loss functions with random weight functions. The new reinsurance premium principles are derived similarly to the new risk measures. The two thresholds for the weight in the loss function can be employed by reinsurance companies as benchmarks when pricing the reinsurance products. The capital allocation principles derived based on the weighted loss functions are both mathematically and economically reasonable. Many of the risk measures and allocation principles, including the new risk measures, can be covered by this model. The results of this thesis have not only unified many of the risk measures and capital allocation principles, but also provided new and practical models.

Download or read book Risk Quantification and Allocation Methods for Practitioners written by Montserrat Guillén and published by Amsterdam University Press. This book was released on 2018-01-23 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk Quantification and Allocation Methods for Practitioners offers a practical approach to risk management in the financial industry. This in-depth study provides quantitative tools to better describe qualitative issues, as well as clear explanations of how to transform recent theoretical developments into computational practice, and key tools for dealing with the issues of risk measurement and capital allocation.

Download or read book Risk Measures and Capital Allocation written by and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This research first gives a review of risk measures and risk capital allocation, along with the important property of coherency, and the relationships between different coherent risk measures. Secondly, relative accuracy measures are used as model-based criteria to study whether or not bias adjustment by various bootstrap techniques could improve estimates of the expected shortfall (ES) as a risk measure. Thirdly, different tests for backtesting Value-at-Risk (VaR) and ES are investigated as data-based criteria of evaluating risk models. Fourthly, multivariate framework is developed for estimating (conditional) ES and ES risk contributions (ESC), as a principle of capital allocation. Finally, an empirical study of estimating ES and ESC with backtesting is carried out for historical data from Russell Indices.

Download or read book Risk Management and Shareholders Value in Banking written by Andrea Resti and published by Wiley. This book was released on 2016-06-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk Management and Shareholders' Value in Banking provides an integrated framework for risk measurement, capital management and value creation in banks covering interest rate risk; market risk; credit risk; operational risk; capital regulation; capital management; and value creation. Updated to include coverage of the most recent developments in banking regulation, including comprehensive coverage of the new Basel III regulatory framework the book is structured in six parts. Part I covers the measurement and management of the interest rate risk and liquidity risk on all assets and liabilities of a banking institution. This includes a discussion of gapping models, presented critically through numerical examples and solutions, internal transfer rates, gapping techniques, liquidity risk management. Part II presents portfolio models for market risks, including the “variance/covariance” approach, Monte Carlo / historical simulations, backtesting, alternative risk measures (e.g. expected shortfall) and volatility estimation techniques. Part III addresses credit risk measurement, first on a stand-alone basis, then at a portfolio level; it also includes chapters on scoring models, rating systems, recovery risk, counterparty risk for OTC derivatives, and practical applications of credit risk models. Part IV deals with operational risk before part V goes on to illustrate the main pieces of regulation on bank capital issued by the Basel Committee, the main focus being on Basel 2 (insofar it has not been changed by the latest regulatory wave) and Basel 3. Part VI presents the link between risk and capital in all its implications, and provides the reader with the technical models needed to allocate capital to risk-taking units, set risk-adjusted profitability targets, and optimize the amount and composition of bank capital. By bringing together the core aspects of risk management in banking - models and algorithms, regulation, process engineering and management, and strategic planning – the book provides a unique and consistent framework showing how financial risks can be understood, measured, managed and covered with capital. The book is accompanied by a website which includes a series of excel files with detailed explanations of all the numerical examples shown in the book, as well as solutions to the end of chapter exercises.

Download or read book Optimal Capital Allocation Using RAROC and EVA written by Neal M. Stoughton and published by . This book was released on 1999 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Calibrating Your Intuition written by Paul H. Kupiec and published by International Monetary Fund. This book was released on 2002-05 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Value-at-Risk (VaR) models often are used to estimate the equity investment that is required to limit the default rate on funding debt. Typical VaR "buffer stock" capital calculations produce biased estimates. To ensure accuracy, VaR must be modified by: (1) measuring loss relative to initial market value; and (2) augmenting VaR to account for the interest income required by investors. While this issue has been identified in the market risk setting, it has yet to be recognized in the credit risk literature. Credit VaR techniques, as typically described, are not an appropriate basis for setting equity capital allocations.

Download or read book To Split or Not to Split written by Andreas Tsanakas and published by . This book was released on 2014 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex risk measures were introduced by Deprez and Gerber (1985). Here the problem of allocating risk capital to subportfolios is addressed, when aggregate capital is calculated by a convex risk measure. The Aumann-Shapley value is proposed as an appropriate allocation mechanism. Distortion-exponential measures are discussed extensively and explicit capital allocation formulas are obtained for the case that the risk measure belongs to this family. Finally the implications of capital allocation with a convex risk measure for the stability of portfolios are discussed.

Download or read book Value at Risk and Bank Capital Management written by Francesco Saita and published by Academic Press. This book was released on 2007 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bank capital management is a major concern for banking and finance today due to Basel II, a set of regulatory guidelines aimed at promoting greater consistency in the way bands and banking regulators approach risk management across national borders. The combination of discussions about sophisticated and cutting-edge risk measurement techniques and practical bank decision-making about capital management and allocation make this book unique.

Download or read book Handbook Of The Fundamentals Of Financial Decision Making In 2 Parts written by Leonard C Maclean and published by World Scientific. This book was released on 2013-05-10 with total page 941 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook in two parts covers key topics of the theory of financial decision making. Some of the papers discuss real applications or case studies as well. There are a number of new papers that have never been published before especially in Part II.Part I is concerned with Decision Making Under Uncertainty. This includes subsections on Arbitrage, Utility Theory, Risk Aversion and Static Portfolio Theory, and Stochastic Dominance. Part II is concerned with Dynamic Modeling that is the transition for static decision making to multiperiod decision making. The analysis starts with Risk Measures and then discusses Dynamic Portfolio Theory, Tactical Asset Allocation and Asset-Liability Management Using Utility and Goal Based Consumption-Investment Decision Models.A comprehensive set of problems both computational and review and mind expanding with many unsolved problems are in an accompanying problems book. The handbook plus the book of problems form a very strong set of materials for PhD and Masters courses both as the main or as supplementary text in finance theory, financial decision making and portfolio theory. For researchers, it is a valuable resource being an up to date treatment of topics in the classic books on these topics by Johnathan Ingersoll in 1988, and William Ziemba and Raymond Vickson in 1975 (updated 2nd edition published in 2006).

Download or read book Economic Capital Allocation Using Risk Measures and Game Theory written by Luca Festini and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multi moment Asset Allocation and Pricing Models written by Emmanuel Jurczenko and published by John Wiley & Sons. This book was released on 2006-10-02 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: While mainstream financial theories and applications assume that asset returns are normally distributed and individual preferences are quadratic, the overwhelming empirical evidence shows otherwise. Indeed, most of the asset returns exhibit “fat-tails” distributions and investors exhibit asymmetric preferences. These empirical findings lead to the development of a new area of research dedicated to the introduction of higher order moments in portfolio theory and asset pricing models. Multi-moment asset pricing is a revolutionary new way of modeling time series in finance which allows various degrees of long-term memory to be generated. It allows risk and prices of risk to vary through time enabling the accurate valuation of long-lived assets. This book presents the state-of-the art in multi-moment asset allocation and pricing models and provides many new developments in a single volume, collecting in a unified framework theoretical results and applications previously scattered throughout the financial literature. The topics covered in this comprehensive volume include: four-moment individual risk preferences, mathematics of the multi-moment efficient frontier, coherent asymmetric risks measures, hedge funds asset allocation under higher moments, time-varying specifications of (co)moments and multi-moment asset pricing models with homogeneous and heterogeneous agents. Written by leading academics, Multi-moment Asset Allocation and Pricing Models offers a unique opportunity to explore the latest findings in this new field of research.

Download or read book Uncertainty in Economic Theory written by Itzhak Gilboa and published by Taylor & Francis. This book was released on 2004-08-02 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together important papers, coupled with new introductions, in the massively influential area of uncertainty in economic theory. Seminal papers are available together for the first time in book format, with new introductions and under the steely editorship of Itzhak Gilboa - this book is a useful reference tool for economists all over the globe.

Download or read book Some Topics in Risk Theory and Optimal Capital Allocation Problems written by Binbin Liu and published by . This book was released on 2017-01-26 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Some Topics in Risk Theory and Optimal Capital Allocation Problems" by Binbin, Liu, 刘彬彬, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: In recent years, the Markov Regime-Switching model and the class of Archimedean copulas have been widely applied to a variety of finance-related fields. The Markov Regime-Switching model can reflect the reality that the underlying economy is changing over time. Archimedean copulas are one of the most popular classes of copulas because they have closed form expressions and have great flexibility in modeling different kinds of dependencies. In the thesis, we first consider a discrete-time risk process based on the compound binomial model with regime-switching. Some general recursive formulas of the expected penalty function have been obtained. The orderings of ruin probabilities are investigated. In particular, we show that if there exists a stochastic dominance relationship between random claims at different regimes, then we can order ruin probabilities under different initial regimes. Regarding capital allocation problems, which are important areas in finance and risk management, this thesis studies the problems of optimal allocation of policy limits and deductibles when the dependence structure among risks is modeled by an Archimedean copula. By employing the concept of arrangement increasing and stochastic dominance, useful qualitative results of the optimal allocations are obtained. Then we turn our attention to a new family of risk measures satisfying a set of proposed axioms, which includes the class of distortion risk measures with concave distortion functions. By minimizing the new risk measures, we consider the optimal allocation of policy limits and deductibles problems based on the assumption that for each risk there exists an indicator random variable which determines whether the risk occurs or not. Several sufficient conditions to order the optimal allocations are obtained using tools in stochastic dominance theory. DOI: 10.5353/th_b4819929 Subjects: Risk management - Mathematical models Investments - Mathematical models Portfolio management - Mathematical models

Download or read book Capital Allocation Rules and Acceptance Sets written by Gabriele Canna and published by . This book was released on 2020 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper introduces a new approach to face capital allocation problems from the perspective of acceptance sets, by defining the family of sub-acceptance sets. We study the relations between the notions of sub-acceptability and acceptability of a risky position as well as their impact on capital allocation rules; in this context, indeed, capital allocation rules are interpretable as tools for assessing the contribution of a sub-portfolio to a given portfolio in terms of acceptability instead of necessarily involving a risk measure. Furthermore, we investigate under which conditions on a capital allocation rule a representation of an acceptance set holds in terms of the capital allocation rule itself, thus extending to this setting the interpretation, classical in risk measures theory, of minimal amount required to hedge a risky position.

Download or read book Economic Capital Allocation Derived from Risk Measures written by Jan Dhaene and published by . This book was released on 2006 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: We examine properties of risk measures that can be considered to be in line with some quot;best practicequot; rules in insurance, based on solvency margins. We give ample motivation that all economic aspects related to an insurance portfolio should be considered in the definition of a risk measure. As a consequence, conditions arise for comparison as well as for addition of risk measures. We demonstrate that imposing properties that are generally valid for risk measures, in all possible dependency structures, based on the difference of the risk and the solvency margin, though providing opportunities to derive nice mathematical results, violates best practice rules. We show that so-called coherent risk measures lead to problems. In particular we consider an exponential risk measure related to a discrete ruin model, depending on the initial surplus, the desired ruin probability, and the risk distribution.

Download or read book Risk Measures and Capital Allocation written by Chun-Ju Wang and published by . This book was released on 2010 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keywords: risk measures, capital allocation, conherency, VaR, expected shortfall, backtesting.