stochastic models in life insurance eaa series

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Stochastic Models In Life Insurance

Author : Michael Koller
ISBN : 9783642284397
Genre : Mathematics
File Size : 28. 80 MB
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The book provides a sound mathematical base for life insurance mathematics and applies the underlying concepts to concrete examples. Moreover the models presented make it possible to model life insurance policies by means of Markov chains. Two chapters covering ALM and abstract valuation concepts on the background of Solvency II complete this volume. Numerous examples and a parallel treatment of discrete and continuous approaches help the reader to implement the theory directly in practice.

Stochastische Modelle In Der Lebensversicherung

Author : Michael Koller
ISBN : 9783662100691
Genre : Mathematics
File Size : 71. 32 MB
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Im vorliegenden Buch werden neue Erkenntnisse der Lebensversicherungsmathematik aus dem Gebiet der Markovmodelle und der stochastischen Zinsen behandelt. Besonderes Gewicht wird auf die Anwendbarkeit der Modelle in der Praxis gelegt, so daß die Aussagen direkt angewendet werden können. Die dargestellten Modelle sind in besonderer Weise geeignet, eine schnelle Tarifierung neuer Lebensversicherungsprodukte zu ermöglichen. Gleichzeitig geben diese Modelle einen tieferen Einblick in das Wesen der Lebensversicherungsmathematik. Der besondere Nutzen dieses Buches liegt einerseits in der parallelen Behandlung der Theorie in stetiger und in diskreter Zeit. Zusätzlich wird das für die Behandlung der Theorie nötige Vorwissen im Buch dargestellt. Durch die vielen Beispiele können die entsprechenden Aussagen direkt in die Praxis umgesetzt werden.

Lebensversicherungsmathematik

Author : Hans U. Gerber
ISBN : 9783642713101
Genre : Business & Economics
File Size : 65. 7 MB
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Life Insurance Risk Management Essentials

Author : Michael Koller
ISBN : 3642207219
Genre : Business & Economics
File Size : 28. 79 MB
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The aim of the book is to provide an overview of risk management in life insurance companies. The focus is twofold: (1) to provide a broad view of the different topics needed for risk management and (2) to provide the necessary tools and techniques to concretely apply them in practice. Much emphasis has been put into the presentation of the book so that it presents the theory in a simple but sound manner. The first chapters deal with valuation concepts which are defined and analysed, the emphasis is on understanding the risks in corresponding assets and liabilities such as bonds, shares and also insurance liabilities. In the following chapters risk appetite and key insurance processes and their risks are presented and analysed. This more general treatment is followed by chapters describing asset risks, insurance risks and operational risks - the application of models and reporting of the corresponding risks is central. Next, the risks of insurance companies and of special insurance products are looked at. The aim is to show the intrinsic risks in some particular products and the way they can be analysed. The book finishes with emerging risks and risk management from a regulatory point of view, the standard model of Solvency II and the Swiss Solvency Test are analysed and explained. The book has several mathematical appendices which deal with the basic mathematical tools, e.g. probability theory, stochastic processes, Markov chains and a stochastic life insurance model based on Markov chains. Moreover, the appendices look at the mathematical formulation of abstract valuation concepts such as replicating portfolios, state space deflators, arbitrage free pricing and the valuation of unit linked products with guarantees. The various concepts in the book are supported by tables and figures.

Wertorientiertes Risikomanagement Von Versicherungsunternehmen

Author : Marcus Kriele
ISBN : 9783662502570
Genre : Mathematics
File Size : 78. 53 MB
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Dieses Buch gibt einen methodisch fundierten Zugang zum wertorientierten Risikomanagement, einem fachübergreifenden Aufgabengebiet, das Komponenten aus dem Controlling und dem Aktuariat umfasst. Der anwendungsorientierten Ansatz versetzt den Leser in die Lage, ein auf quantitativen Methoden basiertes Risikomanagement unter kritischer Würdigung seiner Grenzen praktisch im Unternehmen zu implementieren. Die Schwerpunkte des Buches sind hierbei Risikokapital und Kapitalallokation, Erfolgsmessung und wertorientierte Steuerung. Es wird außerdem der Zusammenhang zu regulatorischen Entwicklungen (z. B. Solvency 2) hergestellt. In der Neuauflage wurden die Abschnitte über Solvency 2 vollständig überarbeitet und aktualisiert. Außerdem enthält dieses Buch ausführliche Rechenbeispiele, die in der Open Source Skriptensprache Julia programmiert wurden und aus dem Internet heruntergeladen werden können.

Modelling In Life Insurance A Management Perspective

Author : Jean-Paul Laurent
ISBN : 9783319297767
Genre : Mathematics
File Size : 30. 37 MB
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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.

Introduction To Insurance Mathematics

Author : Annamaria Olivieri
ISBN : 9783319213774
Genre : Mathematics
File Size : 21. 29 MB
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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.

Modern Problems In Insurance Mathematics

Author : Dmitrii Silvestrov
ISBN : 9783319066530
Genre : Business & Economics
File Size : 76. 70 MB
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This book is a compilation of 21 papers presented at the International Cramér Symposium on Insurance Mathematics (ICSIM) held at Stockholm University in June, 2013. The book comprises selected contributions from several large research communities in modern insurance mathematics and its applications. The main topics represented in the book are modern risk theory and its applications, stochastic modelling of insurance business, new mathematical problems in life and non-life insurance and related topics in applied and financial mathematics. The book is an original and useful source of inspiration and essential reference for a broad spectrum of theoretical and applied researchers, research students and experts from the insurance business. In this way, Modern Problems in Insurance Mathematics will contribute to the development of research and academy–industry co-operation in the area of insurance mathematics and its applications.

Health Insurance

Author : Ermanno Pitacco
ISBN : 9783319122359
Genre : Business & Economics
File Size : 76. 73 MB
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Health Insurance aims at filling a gap in actuarial literature, attempting to solve the frequent misunderstanding in regards to both the purpose and the contents of health insurance products (and ‘protection products’, more generally) on the one hand, and the relevant actuarial structures on the other. In order to cover the basic principles regarding health insurance techniques, the first few chapters in this book are mainly devoted to the need for health insurance and a description of insurance products in this area (sickness insurance, accident insurance, critical illness covers, income protection, long-term care insurance, health-related benefits as riders to life insurance policies). An introduction to general actuarial and risk-management issues follows. Basic actuarial models are presented for sickness insurance and income protection (i.e. disability annuities). Several numerical examples help the reader understand the main features of pricing and reserving in the health insurance area. A short introduction to actuarial models for long-term care insurance products is also provided. Advanced undergraduate and graduate students in actuarial sciences; graduate students in economics, business and finance; and professionals and technicians operating in insurance and pension areas will find this book of benefit.

Elementare Wahrscheinlichkeitstheorie Und Stochastische Prozesse

Author : Kai L. Chung
ISBN : 9783642670336
Genre : Mathematics
File Size : 36. 24 MB
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Aus den Besprechungen: "Unter den zahlreichen Einführungen in die Wahrscheinlichkeitsrechnung bildet dieses Buch eine erfreuliche Ausnahme. Der Stil einer lebendigen Vorlesung ist über Niederschrift und Übersetzung hinweg erhalten geblieben. In jedes Kapitel wird sehr anschaulich eingeführt. Sinn und Nützlichkeit der mathematischen Formulierungen werden den Lesern nahegebracht. Die wichtigsten Zusammenhänge sind als mathematische Sätze klar formuliert." #FREQUENZ#1

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