Financial Modeling Actuarial Valuation And Solvency In Insurance

Author: Mario V. Wüthrich
Publisher: Springer Science & Business Media
ISBN: 3642313922
Size: 20.36 MB
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Risk management for financial institutions is one of the key topics the financial industry has to deal with. The present volume is a mathematically rigorous text on solvency modeling. Currently, there are many new developments in this area in the financial and insurance industry (Basel III and Solvency II), but none of these developments provides a fully consistent and comprehensive framework for the analysis of solvency questions. Merz and Wüthrich combine ideas from financial mathematics (no-arbitrage theory, equivalent martingale measure), actuarial sciences (insurance claims modeling, cash flow valuation) and economic theory (risk aversion, probability distortion) to provide a fully consistent framework. Within this framework they then study solvency questions in incomplete markets, analyze hedging risks, and study asset-and-liability management questions, as well as issues like the limited liability options, dividend to shareholder questions, the role of re-insurance, etc. This work embeds the solvency discussion (and long-term liabilities) into a scientific framework and is intended for researchers as well as practitioners in the financial and actuarial industry, especially those in charge of internal risk management systems. Readers should have a good background in probability theory and statistics, and should be familiar with popular distributions, stochastic processes, martingales, etc.

Mathematical And Statistical Methods For Actuarial Sciences And Finance

Author: Marco Corazza
Publisher: Springer
ISBN: 331902499X
Size: 46.50 MB
Format: PDF
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The interaction between mathematicians and statisticians has been shown to be an effective approach for dealing with actuarial, insurance and financial problems, both from an academic perspective and from an operative one. The collection of original papers presented in this volume pursues precisely this purpose. It covers a wide variety of subjects in actuarial, insurance and finance fields, all treated in the light of the successful cooperation between the above two quantitative approaches. The papers published in this volume present theoretical and methodological contributions and their applications to real contexts. With respect to the theoretical and methodological contributions, some of the considered areas of investigation are: actuarial models; alternative testing approaches; behavioral finance; clustering techniques; coherent and non-coherent risk measures; credit scoring approaches; data envelopment analysis; dynamic stochastic programming; financial contagion models; financial ratios; intelligent financial trading systems; mixture normality approaches; Monte Carlo-based methods; multicriteria methods; nonlinear parameter estimation techniques; nonlinear threshold models; particle swarm optimization; performance measures; portfolio optimization; pricing methods for structured and non-structured derivatives; risk management; skewed distribution analysis; solvency analysis; stochastic actuarial valuation methods; variable selection models; time series analysis tools. As regards the applications, they are related to real problems associated, among the others, to: banks; collateralized fund obligations; credit portfolios; defined benefit pension plans; double-indexed pension annuities; efficient-market hypothesis; exchange markets; financial time series; firms; hedge funds; non-life insurance companies; returns distributions; socially responsible mutual funds; unit-linked contracts. This book is aimed at academics, Ph.D. students, practitioners, professionals and researchers. But it will also be of interest to readers with some quantitative background knowledge.

Market Consistent Actuarial Valuation

Author: Mario V. Wüthrich
Publisher: Springer
ISBN: 3319466364
Size: 64.31 MB
Format: PDF, Mobi
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This is the third edition of this well-received textbook, presenting powerful methods for measuring insurance liabilities and assets in a consistent way, with detailed mathematical frameworks that lead to market-consistent values for liabilities. Topics covered are stochastic discounting with deflators, valuation portfolio in life and non-life insurance, probability distortions, asset and liability management, financial risks, insurance technical risks, and solvency. Including updates on recent developments and regulatory changes under Solvency II, this new edition of Market-Consistent Actuarial Valuation also elaborates on different risk measures, providing a revised definition of solvency based on industry practice, and presents an adapted valuation framework which takes a dynamic view of non-life insurance reserving risk.

Modelling In Life Insurance A Management Perspective

Author: Jean-Paul Laurent
Publisher: Springer
ISBN: 3319297767
Size: 14.89 MB
Format: PDF, Kindle
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Focusing on life insurance and pensions, this book addresses various aspects of modelling in modern insurance: insurance liabilities; asset-liability management; securitization, hedging, and investment strategies. With contributions from internationally renowned academics in actuarial science, finance, and management science and key people in major life insurance and reinsurance companies, there is expert coverage of a wide range of topics, for example: models in life insurance and their roles in decision making; an account of the contemporary history of insurance and life insurance mathematics; choice, calibration, and evaluation of models; documentation and quality checks of data; new insurance regulations and accounting rules; cash flow projection models; economic scenario generators; model uncertainty and model risk; model-based decision-making at line management level; models and behaviour of stakeholders. With author profiles ranging from highly specialized model builders to decision makers at chief executive level, this book should prove a useful resource to students and academics of actuarial science as well as practitioners.

Mathematical And Statistical Methods For Actuarial Sciences And Finance

Author: Cira Perna
Publisher: Springer Science & Business Media
ISBN: 8847023424
Size: 74.34 MB
Format: PDF, Mobi
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The book develops the capabilities arising from the cooperation between mathematicians and statisticians working in insurance and finance fields. It gathers some of the papers presented at the conference MAF2010, held in Ravello (Amalfi coast), and successively, after a reviewing process, worked out to this aim.

Insurance Regulation In The European Union

Author: Pierpaolo Marano
Publisher: Springer
ISBN: 3319612166
Size: 78.83 MB
Format: PDF, Kindle
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This book explores the profound transformation that has taken place in European insurance legislation since January 2016. Expert contributions discuss the changes that have taken place in the supervision of insurance and reinsurance undertakings through an economic risk-based approach. They outline the European insurance market before going on to show how Solvency II and Insurance Distribution Directive (IDD) are expected to generate significant benefits and have a positive impact on all parties involved in the insurance industry, the supervisory authorities and the insured. They also show how Solvency II is likely to benefit the economy as a whole, promoting more efficient allocation of capital and risk in a financial stability framework. This volume will be of interest to academics and researchers in the field of insurance regulation.

Introduction To Insurance Mathematics

Author: Annamaria Olivieri
Publisher: Springer
ISBN: 3319213776
Size: 68.88 MB
Format: PDF, Docs
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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.

Solvency

Author: Arne Sandstrom
Publisher: CRC Press
ISBN: 142003488X
Size: 39.26 MB
Format: PDF, Mobi
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Until now there were no published analyses of the recent solvency work conducted in Europe, specifically the risk categories proposed by the International Actuarial Association (IAA). Answering the insurance industry's demand in the wake of the EU Solvency II project, Solvency: Models, Assessment and Regulation provides a concrete summary and review of solvency and inspires additional work in the field. Following an introduction to the concept, the first section of the book provides a historical review of solvency, detailing solvency regulation and accounting within the EU. A review of the steps leading to Solvency II looks at accounting, supervision, the actuarial field, the first phase of Solvency II, international approaches to banking, and the solvency systems of 12 major nations. The second section explores the current basis for solvency modeling, focusing on the valuation of assets and liabilities, dependency and various conservative approaches, as well as a baseline and benchmark approach. This section also provides examples of risk structure and the effects of diversification. The final section discusses groups and internal modeling as it relates to EU Solvency II. It addresses insurance groups, financial conglomerates, reinsurance, the importance of internal modeling and stress testing, and the current state of the second phase of EU Solvency II.

Derivative Securities And Difference Methods

Author: You-lan Zhu
Publisher: Springer Science & Business Media
ISBN: 1461473063
Size: 47.76 MB
Format: PDF
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This book is mainly devoted to finite difference numerical methods for solving partial differential equations (PDEs) models of pricing a wide variety of financial derivative securities. With this objective, the book is divided into two main parts. In the first part, after an introduction concerning the basics on derivative securities, the authors explain how to establish the adequate PDE boundary value problems for different sets of derivative products (vanilla and exotic options, and interest rate derivatives). For many option problems, the analytic solutions are also derived with details. The second part is devoted to explaining and analyzing the application of finite differences techniques to the financial models stated in the first part of the book. For this, the authors recall some basics on finite difference methods, initial boundary value problems, and (having in view financial products with early exercise feature) linear complementarity and free boundary problems. In each chapter, the techniques related to these mathematical and numerical subjects are applied to a wide variety of financial products. This is a textbook for graduate students following a mathematical finance program as well as a valuable reference for those researchers working in numerical methods in financial derivatives. For this new edition, the book has been updated throughout with many new problems added. More details about numerical methods for some options, for example, Asian options with discrete sampling, are provided and the proof of solution-uniqueness of derivative security problems and the complete stability analysis of numerical methods for two-dimensional problems are added. Review of first edition: “...the book is highly well designed and structured as a textbook for graduate students following a mathematical finance program, which includes Black-Scholes dynamic hedging methodology to price financial derivatives. Also, it is a very valuable reference for those researchers working in numerical methods in financial derivatives, either with a more financial or mathematical background." -- MATHEMATICAL REVIEWS

Statistics And Data Analysis For Financial Engineering

Author: David Ruppert
Publisher: Springer
ISBN: 1493926144
Size: 41.80 MB
Format: PDF, ePub, Docs
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The new edition of this influential textbook, geared towards graduate or advanced undergraduate students, teaches the statistics necessary for financial engineering. In doing so, it illustrates concepts using financial markets and economic data, R Labs with real-data exercises, and graphical and analytic methods for modeling and diagnosing modeling errors. These methods are critical because financial engineers now have access to enormous quantities of data. To make use of this data, the powerful methods in this book for working with quantitative information, particularly about volatility and risks, are essential. Strengths of this fully-revised edition include major additions to the R code and the advanced topics covered. Individual chapters cover, among other topics, multivariate distributions, copulas, Bayesian computations, risk management, and cointegration. Suggested prerequisites are basic knowledge of statistics and probability, matrices and linear algebra, and calculus. There is an appendix on probability, statistics and linear algebra. Practicing financial engineers will also find this book of interest.