An Introduction to Computational Risk Management of Equity-Linked Insurance

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Publisher : CRC Press
ISBN 13 : 1498742181
Total Pages : 382 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis An Introduction to Computational Risk Management of Equity-Linked Insurance by : Runhuan Feng

Download or read book An Introduction to Computational Risk Management of Equity-Linked Insurance written by Runhuan Feng and published by CRC Press. This book was released on 2018-06-13 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantitative modeling of complex systems of interacting risks is a fairly recent development in the financial and insurance industries. Over the past decades, there has been tremendous innovation and development in the actuarial field. In addition to undertaking mortality and longevity risks in traditional life and annuity products, insurers face unprecedented financial risks since the introduction of equity-linking insurance in 1960s. As the industry moves into the new territory of managing many intertwined financial and insurance risks, non-traditional problems and challenges arise, presenting great opportunities for technology development. Today's computational power and technology make it possible for the life insurance industry to develop highly sophisticated models, which were impossible just a decade ago. Nonetheless, as more industrial practices and regulations move towards dependence on stochastic models, the demand for computational power continues to grow. While the industry continues to rely heavily on hardware innovations, trying to make brute force methods faster and more palatable, we are approaching a crossroads about how to proceed. An Introduction to Computational Risk Management of Equity-Linked Insurance provides a resource for students and entry-level professionals to understand the fundamentals of industrial modeling practice, but also to give a glimpse of software methodologies for modeling and computational efficiency. Features Provides a comprehensive and self-contained introduction to quantitative risk management of equity-linked insurance with exercises and programming samples Includes a collection of mathematical formulations of risk management problems presenting opportunities and challenges to applied mathematicians Summarizes state-of-arts computational techniques for risk management professionals Bridges the gap between the latest developments in finance and actuarial literature and the practice of risk management for investment-combined life insurance Gives a comprehensive review of both Monte Carlo simulation methods and non-simulation numerical methods Runhuan Feng is an Associate Professor of Mathematics and the Director of Actuarial Science at the University of Illinois at Urbana-Champaign. He is a Fellow of the Society of Actuaries and a Chartered Enterprise Risk Analyst. He is a Helen Corley Petit Professorial Scholar and the State Farm Companies Foundation Scholar in Actuarial Science. Runhuan received a Ph.D. degree in Actuarial Science from the University of Waterloo, Canada. Prior to joining Illinois, he held a tenure-track position at the University of Wisconsin-Milwaukee, where he was named a Research Fellow. Runhuan received numerous grants and research contracts from the Actuarial Foundation and the Society of Actuaries in the past. He has published a series of papers on top-tier actuarial and applied probability journals on stochastic analytic approaches in risk theory and quantitative risk management of equity-linked insurance. Over the recent years, he has dedicated his efforts to developing computational methods for managing market innovations in areas of investment combined insurance and retirement planning.

An Introduction to Computational Risk Management of Equity-Linked Insurance

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Author :
Publisher : CRC Press
ISBN 13 : 1351647725
Total Pages : 334 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis An Introduction to Computational Risk Management of Equity-Linked Insurance by : Runhuan Feng

Download or read book An Introduction to Computational Risk Management of Equity-Linked Insurance written by Runhuan Feng and published by CRC Press. This book was released on 2018-06-13 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantitative modeling of complex systems of interacting risks is a fairly recent development in the financial and insurance industries. Over the past decades, there has been tremendous innovation and development in the actuarial field. In addition to undertaking mortality and longevity risks in traditional life and annuity products, insurers face unprecedented financial risks since the introduction of equity-linking insurance in 1960s. As the industry moves into the new territory of managing many intertwined financial and insurance risks, non-traditional problems and challenges arise, presenting great opportunities for technology development. Today's computational power and technology make it possible for the life insurance industry to develop highly sophisticated models, which were impossible just a decade ago. Nonetheless, as more industrial practices and regulations move towards dependence on stochastic models, the demand for computational power continues to grow. While the industry continues to rely heavily on hardware innovations, trying to make brute force methods faster and more palatable, we are approaching a crossroads about how to proceed. An Introduction to Computational Risk Management of Equity-Linked Insurance provides a resource for students and entry-level professionals to understand the fundamentals of industrial modeling practice, but also to give a glimpse of software methodologies for modeling and computational efficiency. Features Provides a comprehensive and self-contained introduction to quantitative risk management of equity-linked insurance with exercises and programming samples Includes a collection of mathematical formulations of risk management problems presenting opportunities and challenges to applied mathematicians Summarizes state-of-arts computational techniques for risk management professionals Bridges the gap between the latest developments in finance and actuarial literature and the practice of risk management for investment-combined life insurance Gives a comprehensive review of both Monte Carlo simulation methods and non-simulation numerical methods Runhuan Feng is an Associate Professor of Mathematics and the Director of Actuarial Science at the University of Illinois at Urbana-Champaign. He is a Fellow of the Society of Actuaries and a Chartered Enterprise Risk Analyst. He is a Helen Corley Petit Professorial Scholar and the State Farm Companies Foundation Scholar in Actuarial Science. Runhuan received a Ph.D. degree in Actuarial Science from the University of Waterloo, Canada. Prior to joining Illinois, he held a tenure-track position at the University of Wisconsin-Milwaukee, where he was named a Research Fellow. Runhuan received numerous grants and research contracts from the Actuarial Foundation and the Society of Actuaries in the past. He has published a series of papers on top-tier actuarial and applied probability journals on stochastic analytic approaches in risk theory and quantitative risk management of equity-linked insurance. Over the recent years, he has dedicated his efforts to developing computational methods for managing market innovations in areas of investment combined insurance and retirement planning.

Investment Guarantees

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Publisher : John Wiley & Sons
ISBN 13 : 0471392901
Total Pages : 309 pages
Book Rating : 4.4/5 (713 download)

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Book Synopsis Investment Guarantees by : Mary Hardy

Download or read book Investment Guarantees written by Mary Hardy and published by John Wiley & Sons. This book was released on 2003-03-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to investment guarantees in equity-linked life insurance Due to the convergence of financial and insurance markets, new forms of investment guarantees are emerging which require financial service professionals to become savvier in modeling and risk management. With chapters that discuss stock return models, dynamic hedging, risk measures, Markov Chain Monte Carlo estimation, and much more, this one-stop reference contains the valuable insights and proven techniques that will allow readers to better understand the theory and practice of investment guarantees and equity-linked insurance policies. Mary Hardy, PhD (Waterloo, Ontario, Canada), is an Associate Professor and Associate Chair of Actuarial Science at the University of Waterloo and is a Fellow of the Institute of Actuaries and an Associate of the Society of Actuaries, where she is a frequent speaker. Her research covers topics in life insurance solvency and risk management, with particular emphasis on equity-linked insurance. Hardy is an Associate Editor of the North American Actuarial Journal and the ASTIN Bulletin and is a Deputy Editor of the British Actuarial Journal.

Decentralized Insurance

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Publisher : Springer Nature
ISBN 13 : 3031295595
Total Pages : 279 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Decentralized Insurance by : Runhuan Feng

Download or read book Decentralized Insurance written by Runhuan Feng and published by Springer Nature. This book was released on 2023-05-21 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers an introduction to the technical foundation of decentralized insurance models, for advanced undergraduate students, graduate students and practitioners. The book is self-contained and anyone with a basic knowledge of probability and statistics should be able to follow through the entire book. It adopts a minimalist approach to describe the essential elements and first principles so that readers can get a gist of these models without being overwhelmed with too much technicality. It can be used as a reference for business model designs. The inclusion of exercises and practical examples makes the book suitable for advanced courses on decentralized insurance and risk sharing. There is a mix of industry practices and academic models presented in this book. The exposition starts with an overview of historic and current business practices and preliminaries on the mathematics and economics of risk and insurance. A bird's-eye view of traditional insurance is provided as a benchmark for various topics to be used in contrast with decentralized insurance. The book then continues with decentralized insurance practices around the world, including online mutual aid originated in China, takaful from the Islamic world, peer-to-peer insurance in the West, catastrophe risk pooling for Carribean countries, etc. Theories of aggregate risk pooling and peer-to-peer risk exchanges are provided for readers to appreciate the mathematical foundation of risk sharing. A unified framework of decentralized insurance is presented to show a structured approach to the economic design of decentralized business models. The book ends with a technical review of blockchain and decentralized finance (DeFi) insurance applications.

Proceedings of the Forum "Math-for-Industry" 2018

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Publisher : Springer Nature
ISBN 13 : 9811655766
Total Pages : 191 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Proceedings of the Forum "Math-for-Industry" 2018 by : Jin Cheng

Download or read book Proceedings of the Forum "Math-for-Industry" 2018 written by Jin Cheng and published by Springer Nature. This book was released on 2022-01-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes selected technical papers presented at the Forum “Math-for-Industry” 2018. The papers written by eminent researchers and academics working in the area of industrial mathematics from the viewpoint of financial mathematics, machine learning, neural networks, inverse problems, stochastic modelling, etc., discuss how the ingenuity of science, technology, engineering and mathematics are and will be expected to be utilized. This volume focuses on the role that mathematics-for-industry can play in interdisciplinary research to develop new methods. The contents are useful for researchers both in academia and industry working in interdisciplinary sectors.

Modeling Fixed Income Securities and Interest Rate Options

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Publisher : CRC Press
ISBN 13 : 0429780214
Total Pages : 385 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Modeling Fixed Income Securities and Interest Rate Options by : Robert Jarrow

Download or read book Modeling Fixed Income Securities and Interest Rate Options written by Robert Jarrow and published by CRC Press. This book was released on 2019-09-17 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling Fixed Income Securities and Interest Rate Options, Third Edition presents the basics of fixed-income securities in a way that, unlike competitive texts, requires a minimum of prerequisites. While other books focus heavily on institutional details of the bond market, all of which could easily be learned "on the job," the third edition of this classic textbook is more focused with presenting a coherent theoretical framework for understanding all basic models. The author’s unified approach—the Heath Jarrow Morton model—under which all other models are presented as special cases, enhances understanding of the material. The author’s pricing model is widely used in today’s securities industry. This new edition offers many updates to align with advances in the research and requires a minimum of prerequisites while presenting the basics of fixed-income securities. Highlights of the Third Edition Chapters 1-16 completely updated to align with advances in research Thoroughly eliminates out-of-date material while advancing the presentation Includes an ample amount of exercises and examples throughout the text which illustrate key concepts .

Metamodeling for Variable Annuities

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Publisher : CRC Press
ISBN 13 : 1000651010
Total Pages : 196 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Metamodeling for Variable Annuities by : Guojun Gan

Download or read book Metamodeling for Variable Annuities written by Guojun Gan and published by CRC Press. This book was released on 2019-07-05 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical methods of metamodeling that can be used to speed up the valuation of large portfolios of variable annuities. It is suitable for advanced undergraduate students, graduate students, and practitioners. It is the goal of this book to describe the computational problems and present the metamodeling approaches in a way that can be accessible to advanced undergraduate students and practitioners. To that end, the book will not only describe the theory of these mathematical approaches, but also present the implementations.

Interest Rate Modeling

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Publisher : CRC Press
ISBN 13 : 1351227416
Total Pages : 494 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Interest Rate Modeling by : Lixin Wu

Download or read book Interest Rate Modeling written by Lixin Wu and published by CRC Press. This book was released on 2019-03-04 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing many results that are new, or which exist only in recent research articles, Interest Rate Modeling: Theory and Practice, 2nd Edition portrays the theory of interest rate modeling as a three-dimensional object of finance, mathematics, and computation. It introduces all models with financial-economical justifications, develops options along the martingale approach, and handles option evaluations with precise numerical methods. Features Presents a complete cycle of model construction and applications, showing readers how to build and use models Provides a systematic treatment of intriguing industrial issues, such as volatility and correlation adjustments Contains exercise sets and a number of examples, with many based on real market data Includes comments on cutting-edge research, such as volatility-smile, positive interest-rate models, and convexity adjustment New to the 2nd edition: volatility smile modeling; a new paradigm for inflation derivatives modeling; an extended market model for credit derivatives; a dual-curved model for the post-crisis interest-rate derivatives markets; and an elegant framework for the xVA.

Portfolio Rebalancing

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Publisher : CRC Press
ISBN 13 : 1351647008
Total Pages : 184 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Portfolio Rebalancing by : Edward E. Qian

Download or read book Portfolio Rebalancing written by Edward E. Qian and published by CRC Press. This book was released on 2018-12-07 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of Portfolio Rebalancing is to provide mathematical and empirical analysis of the effects of portfolio rebalancing on portfolio returns and risks. The mathematical analysis answers the question of when and why fixed-weight portfolios might outperform buy-and-hold portfolios based on volatilities and returns. The empirical analysis, aided by mathematical insights, will examine the effects of portfolio rebalancing in capital markets for asset allocation portfolios and portfolios of stocks, bonds, and commodities.

An Introduction to Financial Mathematics

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Publisher : CRC Press
ISBN 13 : 0429558961
Total Pages : 188 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis An Introduction to Financial Mathematics by : Hugo D. Junghenn

Download or read book An Introduction to Financial Mathematics written by Hugo D. Junghenn and published by CRC Press. This book was released on 2019-03-14 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Financial Mathematics: Option Valuation, Second Edition is a well-rounded primer to the mathematics and models used in the valuation of financial derivatives. The book consists of fifteen chapters, the first ten of which develop option valuation techniques in discrete time, the last five describing the theory in continuous time. The first half of the textbook develops basic finance and probability. The author then treats the binomial model as the primary example of discrete-time option valuation. The final part of the textbook examines the Black-Scholes model. The book is written to provide a straightforward account of the principles of option pricing and examines these principles in detail using standard discrete and stochastic calculus models. Additionally, the second edition has new exercises and examples, and includes many tables and graphs generated by over 30 MS Excel VBA modules available on the author’s webpage https://home.gwu.edu/~hdj/.

The Handbook of Insurance-Linked Securities

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Publisher : John Wiley & Sons
ISBN 13 : 0470685085
Total Pages : 612 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis The Handbook of Insurance-Linked Securities by : Pauline Barrieu

Download or read book The Handbook of Insurance-Linked Securities written by Pauline Barrieu and published by John Wiley & Sons. This book was released on 2010-06-15 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Luca Albertini and Pauline Barrieu are to be congratulated on this volume. Written in a period where structured projects in finance are having a difficult time, it is worthwhile to return to the cradle of securitisation: insurance. Spread out over three parts (life, non- life, and tax and regulatory issues) the 26 chapters, written mainly by practitioners, give an excellent overview of this challenging field of modern insurance. Methodology and examples nicely go hand in hand. The overall slant being towards actual analyses of concrete products. No doubt this book will become a milestone going forward for actuarial students, researchers, regulators and practitioners alike." —Paul Embrechts, Professor of Mathematics and Director of RiskLab, ETH Zurich The convergence of insurance with the capital markets has opened up an alternative channel for insurers to transfer risk, raise capital and optimize their regulatory reserves as well as offering institutions a source of relatively liquid investment with limited correlation with other exposures. One of the financial instruments allowing for the cession of insurance-related risks to the capital markets is Insurance-Linked Securities (ILS). This book provides hands-on information essential for market participants, drawing on the insights and expertise of an impressive team of international market players, representing the various aspects and perspectives of this growing sector. The book presents the state of the art in Insurance-Linked Securitization, by exploring the various roles for the different parties involved in the transactions, the motivation for the transaction sponsors, the potential inherent pitfalls, the latest developments and transaction structures and the key challenges faced by the market. The book is organized into parts, each covering a specific topic or sector of the market. After a general overview of the ILS market, the Insurance-Linked Securitization process is studied in detail. A distinction is made between non-life and life securitization, due to the specificities of each sector. The process and all the actors involved are identified and considered in a comprehensive and systematic way. The concepts are first looked at in a general way, before the analysis of relevant case studies where the ILS technology is applied. Particular focus is given to: the key stages in both non-life and life securitizations, including the general features of the transactions, the cedant's perspectives, the legal issues, the rating methodologies, the choice of an appropriate trigger and the risk modeling, the particular challenges related to longevity securitization, the investor's perspective and the question of the management of a portfolio of ILS, the general issues related to insurance-linked securitization, such as accounting and tax issues, regulatory issues and solvency capital requirements. The book is accompanied by a website www.wiley.com/go/albertini_barrieu_ILS which will feature updates and additions to the various contributions to follow market developments.

Mathematics Research for the Beginning Student, Volume 2

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Publisher : Springer Nature
ISBN 13 : 3031085647
Total Pages : 314 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Mathematics Research for the Beginning Student, Volume 2 by : Eli E. Goldwyn

Download or read book Mathematics Research for the Beginning Student, Volume 2 written by Eli E. Goldwyn and published by Springer Nature. This book was released on 2022-11-17 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students are still hard to find. To address this need, this volume provides beginning students who have already had some exposure to calculus with specific research projects and the tools required to tackle them. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. In addition to calculus, some of the later chapters require prerequisites such as linear algebra and statistics. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include: lattice walks in the plane statistical modeling of survival data building blocks and geometry modeling of weather and climate change mathematics of risk and insurance Mathematics Research for the Beginning Student, Volume 2 will appeal to undergraduate students at two- and four-year colleges who are interested in pursuing mathematics research projects. Faculty members interested in serving as advisors to these students will find ideas and guidance as well. This volume will also be of interest to advanced high school students interested in exploring mathematics research for the first time. A separate volume with research projects for students who have not yet studied calculus is also available.

Introductory Mathematical Analysis for Quantitative Finance

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Publisher : CRC Press
ISBN 13 : 1351245090
Total Pages : 211 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Introductory Mathematical Analysis for Quantitative Finance by : Daniele Ritelli

Download or read book Introductory Mathematical Analysis for Quantitative Finance written by Daniele Ritelli and published by CRC Press. This book was released on 2020-04-13 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance. A basic understanding of dimensional Calculus and Linear Algebra is assumed. The exposition of the topics is as concise as possible, since the chapters are intended to represent a preliminary contact with the mathematical concepts used in Quantitative Finance. The aim is that this book can be used as a basis for an intensive one-semester course. Features: Written with applications in mind, and maintaining mathematical rigor. Suitable for undergraduate or master's level students with an Economics or Management background. Complemented with various solved examples and exercises, to support the understanding of the subject.

Equity-Linked Life Insurance

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Publisher : CRC Press
ISBN 13 : 1482240270
Total Pages : 213 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Equity-Linked Life Insurance by : Alexander Melnikov

Download or read book Equity-Linked Life Insurance written by Alexander Melnikov and published by CRC Press. This book was released on 2017-09-07 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the application of the partial hedging approach from modern math finance to equity-linked life insurance contracts. It provides an accessible, up-to-date introduction to quantifying financial and insurance risks. The book also explains how to price innovative financial and insurance products from partial hedging perspectives. Each chapter presents the problem, the mathematical formulation, theoretical results, derivation details, numerical illustrations, and references to further reading.

Introduction to Insurance Mathematics

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Publisher : Springer
ISBN 13 : 3319213776
Total Pages : 521 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Introduction to Insurance Mathematics by : Annamaria Olivieri

Download or read book Introduction to Insurance Mathematics written by Annamaria Olivieri and published by Springer. This book was released on 2015-09-30 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition expands the first chapters, which focus on the approach to risk management issues discussed in the first edition, to offer readers a better understanding of the risk management process and the relevant quantitative phases. In the following chapters the book examines life insurance, non-life insurance and pension plans, presenting the technical and financial aspects of risk transfers and insurance without the use of complex mathematical tools. The book is written in a comprehensible style making it easily accessible to advanced undergraduate and graduate students in Economics, Business and Finance, as well as undergraduate students in Mathematics who intend starting on an actuarial qualification path. With the systematic inclusion of practical topics, professionals will find this text useful when working in insurance and pension related areas, where investments, risk analysis and financial reporting play a major role.

Advances in Computational Intelligence, Part IV

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Publisher : Springer
ISBN 13 : 3642317243
Total Pages : 707 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Advances in Computational Intelligence, Part IV by : Salvatore Greco

Download or read book Advances in Computational Intelligence, Part IV written by Salvatore Greco and published by Springer. This book was released on 2012-07-23 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: These four volumes (CCIS 297, 298, 299, 300) constitute the proceedings of the 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, held in Catania, Italy, in July 2012. The 258 revised full papers presented together with six invited talks were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on fuzzy machine learning and on-line modeling; computing with words and decision making; soft computing in computer vision; rough sets and complex data analysis: theory and applications; intelligent databases and information system; information fusion systems; philosophical and methodological aspects of soft computing; basic issues in rough sets; 40th anniversary of the measures of fuziness; SPS11 uncertainty in profiling systems and applications; handling uncertainty with copulas; formal methods to deal with uncertainty of many-valued events; linguistic summarization and description of data; fuzzy implications: theory and applications; sensing and data mining for teaching and learning; theory and applications of intuitionistic fuzzy sets; approximate aspects of data mining and database analytics; fuzzy numbers and their applications; information processing and management of uncertainty in knowledge-based systems; aggregation functions; imprecise probabilities; probabilistic graphical models with imprecision: theory and applications; belief function theory: basics and/or applications; fuzzy uncertainty in economics and business; new trends in De Finetti's approach; fuzzy measures and integrals; multi criteria decision making; uncertainty in privacy and security; uncertainty in the spirit of Pietro Benvenuti; coopetition; game theory; probabilistic approach.

Risk and Insurance

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Publisher : Springer Nature
ISBN 13 : 3030351769
Total Pages : 505 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Risk and Insurance by : Søren Asmussen

Download or read book Risk and Insurance written by Søren Asmussen and published by Springer Nature. This book was released on 2020-04-17 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a broad overview of the present state of insurance mathematics and some related topics in risk management, financial mathematics and probability. Both non-life and life aspects are covered. The emphasis is on probability and modeling rather than statistics and practical implementation. Aimed at the graduate level, pointing in part to current research topics, it can potentially replace other textbooks on basic non-life insurance mathematics and advanced risk management methods in non-life insurance. Based on chapters selected according to the particular topics in mind, the book may serve as a source for introductory courses to insurance mathematics for non-specialists, advanced courses for actuarial students, or courses on probabilistic aspects of risk. It will also be useful for practitioners and students/researchers in related areas such as finance and statistics who wish to get an overview of the general area of mathematical modeling and analysis in insurance.