Download or read book Some Topics in Risk Theory and Optimal Capital Allocation Problems written by Binbin Liu (Ph. D.) and published by . This book was released on 2012 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Some Topics in Risk Theory and Optimal Capital Allocation Problems written by Binbin Liu (Ph. D.) and published by . This book was released on 2012 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Applications of Comonotonicity in Risk Sharing and Optimal Allocation written by Yian Rong and published by . This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Applications of Comonotonicity in Risk-sharing and Optimal Allocation" by Yian, Rong, 戎軼安, 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: Over the past decades, researchers in economics, financial mathematics and actuarial science have introduced results to the concept of comonotonicity in their respective fields of interest. Comonotonicity is a very strong dependence structure and is very often mistaken as a dependence structure that is too extreme and unrealistic. However, the concept of comonotonicity is actually a useful tool for solving several research and practical problems in capital allocation, risk sharing and optimal allocation. The first topic of this thesis is focused on the application of comonotonicity in optimal capital allocation. The Enterprise Risk Management process of a financial institution usually contains a procedure to allocate the total risk capital of the company into its different business units. Dhaene et al. (2012) proposed a unifying capital allocation framework by considering some general deviation measures. This general framework is extended to a more general optimization problem of minimizing separable convex function with a linear constraint and box constraints. A new approach of solving this constrained minimization problem explicitly by the concept of comonotonicity is developed. Instead of the traditional Kuhn-Tucker theory, a method of expressing each convex function as the expected stop-loss of some suitable random variable is used to solve the optimization problem. Then, some results in convex analysis with infimum-convolution are derived using the result of this new approach. Next, Borch's theorem is revisited from the perspective of comonotonicity. The optimal solution to the Pareto optimal risk-sharing problem can be obtained by the Lagrangian method or variational arguments. Here, I propose a new method, which is based on a Breeden-Litzanbeger type integral representation formula for increasing convex functions. It enables the transform of the objective function into a sum of mixtures of stop-losses. Necessary conditions for the existence of optimal solution are then discussed. The explicit solution obtained allows us to show that the risk-sharing problem is indeed a "point-wise" problem, and hence the value function can be obtained immediately using the notion of supremum-convolution in convex analysis. In addition to the above classical risk-sharing and capital allocation problems, the problem of minimizing a separable convex objective subject to an ordering restriction is then studied. Best et al. (2000) proposed a pool adjacent violators algorithm to compute the optimal solution. Instead, we show that using the concept of comonotonicity and the technique of dynamic programming the solution can be derived in a recursive manner. By identifying the right-hand derivative of the convex functions with distribution functions of some suitable random variables, we rewrite the objective function into a sum of expected deviations. This transformation and the fact that the expected deviation is a convex function enable us to solve the minimizing problem. DOI: 10.5353/th_b5334876 Subjects: Investments - Mathematical models Risk management - Mathematical models

Download or read book The Handbook of Risk written by IMCA and published by John Wiley & Sons. This book was released on 2003-06-03 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ultimate source for risk management information Before entering into any investment, the risk of that venture must be identified and quantified. The Handbook of Risk provides in-depth coverage of risk from every possible angle and illuminates the subject by covering the quantitative and and behavioral issues faced by investment professionals on a day-to-day basis. This valuable reference offers a prescriptive and descriptive treatment of risk management for those looking to control, contain, and minimize the risk of their investments. The Handbook of Risk is also a perfect companion for professionals looking to complete IMCA certification courses. Ben Warwick (Denver, CO) is the "Market View" columnist for worldlyinvestor.com and Chief Investment Officer of Sovereign Wealth Management, Inc. He has written numerous books, including The WorldlyInvestorGuide to Beating the Market (Wiley: 0471215317), and Searching for Alpha (Wiley: 0471348228). IMCA (The Investment Management Consultants Association) is a professional association established in 1990 that represents the investment consulting profession in the United States and Canada. Over the years, financial professionals around the world have looked to the Wiley Finance series and its wide array of bestselling books for the knowledge, insights, and techniques that are essential to success in financial markets. As the pace of change in financial markets and instruments quickens, Wiley Finance continues to respond. With critically acclaimed books by leading thinkers on value investing, risk management, asset allocation, and many other critical subjects, the Wiley Finance series provides the financial community with information they want. Written to provide professionals and individuals with the most current thinking from the best minds in the industry, it is no wonder that the Wiley Finance series is the first and last stop for financial professionals looking to increase their financial expertise.

Download or read book Asset Allocation written by William Kinlaw and published by John Wiley & Sons. This book was released on 2021-07-26 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover a masterful exploration of the fallacies and challenges of asset allocation In Asset Allocation: From Theory to Practice and Beyond—the newly and substantially revised Second Edition of A Practitioner’s Guide to Asset Allocation—accomplished finance professionals William Kinlaw, Mark P. Kritzman, and David Turkington deliver a robust and insightful exploration of the core tenets of asset allocation. Drawing on their experience working with hundreds of the world’s largest and most sophisticated investors, the authors review foundational concepts, debunk fallacies, and address cutting-edge themes like factor investing and scenario analysis. The new edition also includes references to related topics at the end of each chapter and a summary of key takeaways to help readers rapidly locate material of interest. The book also incorporates discussions of: The characteristics that define an asset class, including stability, investability, and similarity The fundamentals of asset allocation, including definitions of expected return, portfolio risk, and diversification Advanced topics like factor investing, asymmetric diversification, fat tails, long-term investing, and enhanced scenario analysis as well as tools to address challenges such as liquidity, rebalancing, constraints, and within-horizon risk. Perfect for client-facing practitioners as well as scholars who seek to understand practical techniques, Asset Allocation: From Theory to Practice and Beyond is a must-read resource from an author team of distinguished finance experts and a forward by Nobel prize winner Harry Markowitz.

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 Investment Theory and Risk Management Website written by Steven Peterson and published by John Wiley & Sons. This book was released on 2012-05-08 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique perspective on applied investment theory and risk management from the Senior Risk Officer of a major pension fund Investment Theory and Risk Management is a practical guide to today's investment environment. The book's sophisticated quantitative methods are examined by an author who uses these methods at the Virginia Retirement System and teaches them at the Virginia Commonwealth University. In addition to showing how investment performance can be evaluated, using Jensen's Alpha, Sharpe's Ratio, and DDM, he delves into four types of optimal portfolios (one that is fully invested, one with targeted returns, another with no short sales, and one with capped investment allocations). In addition, the book provides valuable insights on risk, and topics such as anomalies, factor models, and active portfolio management. Other chapters focus on private equity, structured credit, optimal rebalancing, data problems, and Monte Carlo simulation. Contains investment theory and risk management spreadsheet models based on the author's own real-world experience with stock, bonds, and alternative assets Offers a down-to-earth guide that can be used on a daily basis for making common financial decisions with a new level of quantitative sophistication and rigor Written by the Director of Research and Senior Risk Officer for the Virginia Retirement System and an Associate Professor at Virginia Commonwealth University's School of Business Investment Theory and Risk Management empowers both the technical and non-technical reader with the essential knowledge necessary to understand and manage risks in any corporate or economic environment.

Download or read book The Known the Unknown and the Unknowable in Financial Risk Management written by Francis X. Diebold and published by Princeton University Press. This book was released on 2010-05-09 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear understanding of what we know, don't know, and can't know should guide any reasonable approach to managing financial risk, yet the most widely used measure in finance today--Value at Risk, or VaR--reduces these risks to a single number, creating a false sense of security among risk managers, executives, and regulators. This book introduces a more realistic and holistic framework called KuU --the K nown, the u nknown, and the U nknowable--that enables one to conceptualize the different kinds of financial risks and design effective strategies for managing them. Bringing together contributions by leaders in finance and economics, this book pushes toward robustifying policies, portfolios, contracts, and organizations to a wide variety of KuU risks. Along the way, the strengths and limitations of "quantitative" risk management are revealed. In addition to the editors, the contributors are Ashok Bardhan, Dan Borge, Charles N. Bralver, Riccardo Colacito, Robert H. Edelstein, Robert F. Engle, Charles A. E. Goodhart, Clive W. J. Granger, Paul R. Kleindorfer, Donald L. Kohn, Howard Kunreuther, Andrew Kuritzkes, Robert H. Litzenberger, Benoit B. Mandelbrot, David M. Modest, Alex Muermann, Mark V. Pauly, Til Schuermann, Kenneth E. Scott, Nassim Nicholas Taleb, and Richard J. Zeckhauser. Introduces a new risk-management paradigm Features contributions by leaders in finance and economics Demonstrates how "killer risks" are often more economic than statistical, and crucially linked to incentives Shows how to invest and design policies amid financial uncertainty

Download or read book Introduction to Risk Parity and Budgeting written by Thierry Roncalli and published by CRC Press. This book was released on 2016-04-19 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although portfolio management didn't change much during the 40 years after the seminal works of Markowitz and Sharpe, the development of risk budgeting techniques marked an important milestone in the deepening of the relationship between risk and asset management. Risk parity then became a popular financial model of investment after the global fina

Download or read book The ART of Risk Management written by Christopher L. Culp and published by John Wiley & Sons. This book was released on 2002-07-11 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn about today's hottest new risk management tools One of the hottest areas of finance today, alternative risk transfer, or ART, refers to the use of various insurance products to manage market, credit, operational, legal, environmental, and other forms of risk. As the capital and insurance markets continue to converge, the number and complexity of new risk-defraying insurance products available to corporations, brokerages, money managers and other financial professionals will continue to grow. Expert Christopher L. Culp uses case studies of recent ART transactions used by risk managers to put the field into perspective for financial professionals and to acquaint them with the various types of risk control products now available. In addition he explores, in-depth, the links between ART, derivatives and bank-arranged risk financing, and he explains the key differences between classic insurance products and financial guarantees, risk financing, bundled layering, and other ART forms.

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 Risk Management written by Walter V. "Bud" Haslett, Jr. and published by John Wiley & Sons. This book was released on 2010-09-28 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key readings in risk management from CFA Institute, the preeminent organization representing financial analysts Risk management may have been the single most important topic in finance over the past two decades. To appreciate its complexity, one must understand the art as well as the science behind it. Risk Management: Foundations for a Changing Financial World provides investment professionals with a solid framework for understanding the theory, philosophy, and development of the practice of risk management by Outlining the evolution of risk management and how the discipline has adapted to address the future of managing risk Covering the full range of risk management issues, including firm, portfolio, and credit risk management Examining the various aspects of measuring risk and the practical aspects of managing risk Including key writings from leading risk management practitioners and academics, such as Andrew Lo, Robert Merton, John Bogle, and Richard Bookstaber For financial analysts, money managers, and others in the finance industry, this book offers an in-depth understanding of the critical topics and issues in risk management that are most important to today’s investment professionals.

Download or read book Robust Portfolio Optimization and Management written by Frank J. Fabozzi and published by John Wiley & Sons. This book was released on 2007-04-27 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for Robust Portfolio Optimization and Management "In the half century since Harry Markowitz introduced his elegant theory for selecting portfolios, investors and scholars have extended and refined its application to a wide range of real-world problems, culminating in the contents of this masterful book. Fabozzi, Kolm, Pachamanova, and Focardi deserve high praise for producing a technically rigorous yet remarkably accessible guide to the latest advances in portfolio construction." --Mark Kritzman, President and CEO, Windham Capital Management, LLC "The topic of robust optimization (RO) has become 'hot' over the past several years, especially in real-world financial applications. This interest has been sparked, in part, by practitioners who implemented classical portfolio models for asset allocation without considering estimation and model robustness a part of their overall allocation methodology, and experienced poor performance. Anyone interested in these developments ought to own a copy of this book. The authors cover the recent developments of the RO area in an intuitive, easy-to-read manner, provide numerous examples, and discuss practical considerations. I highly recommend this book to finance professionals and students alike." --John M. Mulvey, Professor of Operations Research and Financial Engineering, Princeton University

Download or read book Financial Economics Risk and Information written by Marcelo Bianconi and published by World Scientific. This book was released on 2011-08-23 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial Economics, Risk and Information presents the fundamentals of finance in static and dynamic frameworks with focus on risk and information. The objective of this book is to introduce undergraduate and first-year graduate students to the methods and solutions of the main problems in finance theory relating to the economics of uncertainty and information. The main goal of the second edition is to make the materials more accessible to a wider audience of students and finance professionals. The focus is on developing a core body of theory that will provide the student with a solid intellectual foundation for more advanced topics and methods. The new edition has streamlined chapters and topics, with new sections on portfolio choice under alternative information structures. The starting point is the traditional mean-variance approach, followed by portfolio choice from first principles. The topics are extended to alternative market structures, alternative contractual arrangements and agency, dynamic stochastic general equilibrium in discrete and continuous time, attitudes towards risk and towards inter-temporal substitution in discrete and continuous time; and option pricing. In general, the book presents a balanced introduction to the use of stochastic methods in discrete and continuous time in the field of financial economics.

Download or read book The Professional Risk Managers Guide to Finance Theory and Application written by Professional Risk Managers' International Association (PRMIA) and published by McGraw Hill Professional. This book was released on 2007-12-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive reference brings together ten of the world's leading scholars and practitioners, who provide invaluable perspectives on all aspects of finance theory and how they are applied to the process of risk management. The book begins with an overview of risk and risk aversion, introducing utility functions and the mean-variance criterion. It then delivers a thorough introduction to portfolio mathematics, including discussion of the efficient frontier, portfolio theory, and portfolio diversification. Written to help you fortify your defenses against extreme, unanticipated outcomes, and to ensure that returns are an adequate reward for risks taken, The Professional Risk Managers' Guide to Finance Theory and Application covers key issues such as: The theory of capital allocation Capital structure, that is, debt versus equity financing The CAPM and multifactor models Interest rate models The term structure of interest rates No-arbitrage pricing of futures and forwards Risk-neutral valuation of options Offering a global view not found elsewhere, The Professional Risk Managers' Guide to Finance Theory and Application arms institutional investors, professional financial analysts and traders, auditors, corporate treasurers, regulators and actuaries with the practical tools to master any financial field.

Download or read book A Practitioner s Guide to Asset Allocation written by William Kinlaw and published by John Wiley & Sons. This book was released on 2017-05-22 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the formalization of asset allocation in 1952 with the publication of Portfolio Selection by Harry Markowitz, there have been great strides made to enhance the application of this groundbreaking theory. However, progress has been uneven. It has been punctuated with instances of misleading research, which has contributed to the stubborn persistence of certain fallacies about asset allocation. A Practitioner's Guide to Asset Allocation fills a void in the literature by offering a hands-on resource that describes the many important innovations that address key challenges to asset allocation and dispels common fallacies about asset allocation. The authors cover the fundamentals of asset allocation, including a discussion of the attributes that qualify a group of securities as an asset class and a detailed description of the conventional application of mean-variance analysis to asset allocation.. The authors review a number of common fallacies about asset allocation and dispel these misconceptions with logic or hard evidence. The fallacies debunked include such notions as: asset allocation determines more than 90% of investment performance; time diversifies risk; optimization is hypersensitive to estimation error; factors provide greater diversification than assets and are more effective at reducing noise; and that equally weighted portfolios perform more reliably out of sample than optimized portfolios. A Practitioner's Guide to Asset Allocation also explores the innovations that address key challenges to asset allocation and presents an alternative optimization procedure to address the idea that some investors have complex preferences and returns may not be elliptically distributed. Among the challenges highlighted, the authors explain how to overcome inefficiencies that result from constraints by expanding the optimization objective function to incorporate absolute and relative goals simultaneously. The text also explores the challenge of currency risk, describes how to use shadow assets and liabilities to unify liquidity with expected return and risk, and shows how to evaluate alternative asset mixes by assessing exposure to loss throughout the investment horizon based on regime-dependent risk. This practical text contains an illustrative example of asset allocation which is used to demonstrate the impact of the innovations described throughout the book. In addition, the book includes supplemental material that summarizes the key takeaways and includes information on relevant statistical and theoretical concepts, as well as a comprehensive glossary of terms.