Nonlife Actuarial Models

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Nonlife Actuarial Models

Author : Yiu-Kuen Tse
ISBN : 9780521764650
Genre : Business & Economics
File Size : 52.26 MB
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This class-tested undergraduate textbook covers the entire syllabus for Exam C of the Society of Actuaries (SOA).
Category: Business & Economics

Automobile Insurance

Author : Jean Lemaire
ISBN : 9789401577083
Genre : Business & Economics
File Size : 73.64 MB
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The mathematical theory of non-life insurance developed much later than the theory of life insurance. The problems that occur in the former field are far more intricate for several reasons: 1. In the field oflife insurance, the company usually has to pay a claim on the policy only once: the insured dies or the policy matures only once. It is with only a few particular types of policy (for instance, sickness insurance, when the insured starts working again after a period of sickness) that a valid claim can be made on a number of different occasions. On the other hand, the general rule in non-life insurance is that the policyholder is liable to be the victim of several losses (in automobile insurance, of course, but also in burglary and fire insurance, householders' comprehensive insurance, and so on). 2. In the field of life insurance, the amount to be paid by the company excluding any bonuses-is determined at the inception of the policy. For the various types of life insurance contracts, the sum payable on death or at maturity of the policy is known in advance. In the field of non-life insurance, the amount of a loss is a random variable: the cost of an automobile crash, the partial or totalloss of a building as a result of fire, the number and nature of injuries, and so forth.
Category: Business & Economics

Actuarial Modelling Of Claim Counts

Author : Michel Denuit
ISBN : 0470517417
Genre : Mathematics
File Size : 71.15 MB
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There are a wide range of variables for actuaries to consider when calculating a motorist’s insurance premium, such as age, gender and type of vehicle. Further to these factors, motorists’ rates are subject to experience rating systems, including credibility mechanisms and Bonus Malus systems (BMSs). Actuarial Modelling of Claim Counts presents a comprehensive treatment of the various experience rating systems and their relationships with risk classification. The authors summarize the most recent developments in the field, presenting ratemaking systems, whilst taking into account exogenous information. The text: Offers the first self-contained, practical approach to a priori and a posteriori ratemaking in motor insurance. Discusses the issues of claim frequency and claim severity, multi-event systems, and the combinations of deductibles and BMSs. Introduces recent developments in actuarial science and exploits the generalised linear model and generalised linear mixed model to achieve risk classification. Presents credibility mechanisms as refinements of commercial BMSs. Provides practical applications with real data sets processed with SAS software. Actuarial Modelling of Claim Counts is essential reading for students in actuarial science, as well as practicing and academic actuaries. It is also ideally suited for professionals involved in the insurance industry, applied mathematicians, quantitative economists, financial engineers and statisticians.
Category: Mathematics

Predictive Modeling Applications In Actuarial Science

Author : Edward W. Frees
ISBN : 9781107029880
Genre : Business & Economics
File Size : 61.95 MB
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This second volume examines practical real-life applications of predictive modeling to forecast future events with an emphasis on insurance.
Category: Business & Economics

Predictive Modeling Applications In Actuarial Science Volume 2 Case Studies In Insurance

Author : Edward W. Frees
ISBN : 9781316720523
Genre : Business & Economics
File Size : 38.67 MB
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Predictive modeling uses data to forecast future events. It exploits relationships between explanatory variables and the predicted variables from past occurrences to predict future outcomes. Forecasting financial events is a core skill that actuaries routinely apply in insurance and other risk-management applications. Predictive Modeling Applications in Actuarial Science emphasizes life-long learning by developing tools in an insurance context, providing the relevant actuarial applications, and introducing advanced statistical techniques that can be used to gain a competitive advantage in situations with complex data. Volume 2 examines applications of predictive modeling. Where Volume 1 developed the foundations of predictive modeling, Volume 2 explores practical uses for techniques, focusing on property and casualty insurance. Readers are exposed to a variety of techniques in concrete, real-life contexts that demonstrate their value and the overall value of predictive modeling, for seasoned practicing analysts as well as those just starting out.
Category: Business & Economics

Non Life Insurance Pricing With Generalized Linear Models

Author : Esbjörn Ohlsson
ISBN : 3642107915
Genre : Mathematics
File Size : 25.98 MB
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Non-life insurance pricing is the art of setting the price of an insurance policy, taking into consideration varoius properties of the insured object and the policy holder. Introduced by British actuaries generalized linear models (GLMs) have become today a the standard aproach for tariff analysis. The book focuses on methods based on GLMs that have been found useful in actuarial practice and provides a set of tools for a tariff analysis. Basic theory of GLMs in a tariff analysis setting is presented with useful extensions of standarde GLM theory that are not in common use. The book meets the European Core Syllabus for actuarial education and is written for actuarial students as well as practicing actuaries. To support reader real data of some complexity are provided at www.math.su.se/GLMbook.
Category: Mathematics

Actuarial Theory For Dependent Risks

Author : Michel Denuit
ISBN : 9780470016442
Genre : Business & Economics
File Size : 39.77 MB
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The increasing complexity of insurance and reinsurance products has seen a growing interest amongst actuaries in the modelling of dependent risks. For efficient risk management, actuaries need to be able to answer fundamental questions such as: Is the correlation structure dangerous? And, if yes, to what extent? Therefore tools to quantify, compare, and model the strength of dependence between different risks are vital. Combining coverage of stochastic order and risk measure theories with the basics of risk management and stochastic dependence, this book provides an essential guide to managing modern financial risk. * Describes how to model risks in incomplete markets, emphasising insurance risks. * Explains how to measure and compare the danger of risks, model their interactions, and measure the strength of their association. * Examines the type of dependence induced by GLM-based credibility models, the bounds on functions of dependent risks, and probabilistic distances between actuarial models. * Detailed presentation of risk measures, stochastic orderings, copula models, dependence concepts and dependence orderings. * Includes numerous exercises allowing a cementing of the concepts by all levels of readers. * Solutions to tasks as well as further examples and exercises can be found on a supporting website. An invaluable reference for both academics and practitioners alike, Actuarial Theory for Dependent Risks will appeal to all those eager to master the up-to-date modelling tools for dependent risks. The inclusion of exercises and practical examples makes the book suitable for advanced courses on risk management in incomplete markets. Traders looking for practical advice on insurance markets will also find much of interest.
Category: Business & Economics

Computational Actuarial Science With R

Author : Arthur Charpentier
ISBN : 9781466592599
Genre : Business & Economics
File Size : 68.77 MB
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A Hands-On Approach to Understanding and Using Actuarial Models Computational Actuarial Science with R provides an introduction to the computational aspects of actuarial science. Using simple R code, the book helps you understand the algorithms involved in actuarial computations. It also covers more advanced topics, such as parallel computing and C/C++ embedded codes. After an introduction to the R language, the book is divided into four parts. The first one addresses methodology and statistical modeling issues. The second part discusses the computational facets of life insurance, including life contingencies calculations and prospective life tables. Focusing on finance from an actuarial perspective, the next part presents techniques for modeling stock prices, nonlinear time series, yield curves, interest rates, and portfolio optimization. The last part explains how to use R to deal with computational issues of nonlife insurance. Taking a do-it-yourself approach to understanding algorithms, this book demystifies the computational aspects of actuarial science. It shows that even complex computations can usually be done without too much trouble. Datasets used in the text are available in an R package (CASdatasets).
Category: Business & Economics

Models In Insurance

Author : William S. Jewell
ISBN : UOM:39015043273690
Genre : Insurance
File Size : 43.8 MB
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Category: Insurance

Modern Actuarial Risk Theory

Author : Rob Kaas
ISBN : 9783540867364
Genre :
File Size : 30.89 MB
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Modern Actuarial Risk Theory contains what every actuary needs to know about non-life insurance mathematics. It starts with the standard material like utility theory, individual and collective model and basic ruin theory. Other topics are risk measures and premium principles, bonus-malus systems, ordering of risks and credibility theory. It also contains some chapters about Generalized Linear Models, applied to rating and IBNR problems. As to the level of the mathematics, the book would fit in a bachelors or masters program in quantitative economics or mathematical statistics. This second and.
Category:

Solvency Ii In The Insurance Industry

Author : Maria Heep-Altiner
ISBN : 9783319770604
Genre : Business & Economics
File Size : 66.63 MB
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This book illustrates the EU-wide Solvency II framework for the insurance industry, which was implemented on January 1, 2016, after a long project phase. Analogous to the system for banks, it is based on three pillars and the authors analyze the complete framework pillar by pillar with a consistent data model for a non-life insurer, which was developed by the Research Group Financial & Actuarial Risk Management (FaRis) at the Institute for Insurance Studies of the TH Köln - University of Applied Sciences. The book leverages the long-standing and close cooperation between the University of Limerick (Ireland) and the Institute for Insurance Studies at TH Köln - University of Applied Sciences (Germany).
Category: Business & Economics

Financial Modeling Actuarial Valuation And Solvency In Insurance

Author : Mario V. Wüthrich
ISBN : 9783642313929
Genre : Mathematics
File Size : 31.81 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.
Category: Mathematics

Non Life Insurance Mathematics

Author : Thomas Mikosch
ISBN : 9783540882336
Genre : Mathematics
File Size : 50.34 MB
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"Offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties....The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy." --Zentralblatt für Didaktik der Mathematik
Category: Mathematics

Astin Bulletin

Author :
ISBN : UOM:39015068691453
Genre : Insurance
File Size : 80.46 MB
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Category: Insurance

Modern Actuarial Theory And Practice

Author : Philip Booth
ISBN : 0849303885
Genre : Mathematics
File Size : 53.76 MB
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In the last two decades, there has been a significant shift in thinking and in the approach taken to actuarial practice: moving from deterministic methods (with implicit or explicit margins to protect against variability) to fully stochastic methods. Important international developments are currently being made in actuarial education, with radical changes being implemented in Australia and North America, and evolutionary changes planned in the UK. At the same time, the Consultative Group of Actuarial Associations within the EU and the International Forum of Actuarial Associations are both actively considering the international harmonization of professional qualifications. Modern Actuarial Theory and Practice matches the philosophy of those international developments, and the manner in which actuarial qualifications are changing and are likely to continue to change. It describes the traditional areas of actuarial activity with an emphasis on the fundamental principles, as well as the economic, financial, and statistical foundations of actuarial theory and practice. Information is presented in five interconnected sections: Investment Life Insurance General Insurance Pensions Actuarial Models which can be read separately or taken as part of the integrated whole. This text will be an invaluable aid for final-year undergraduates, MSc students, research students preparing for an MPhil or Ph. D degree, and to student actuaries preparing for the professional actuarial examinations of a number of professional bodies. Practicing actuaries will also find this a useful guide to current methodologies and models.
Category: Mathematics

Market Consistent Actuarial Valuation

Author : Mario V. Wüthrich
ISBN : 3642148522
Genre : Mathematics
File Size : 51.16 MB
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It is a challenging task to read the balance sheet of an insurance company. This derives from the fact that different positions are often measured by different yardsticks. Assets, for example, are mostly valued at market prices whereas liabilities are often measured by established actuarial methods. However, there is a general agreement that the balance sheet of an insurance company should be measured in a consistent way. Market-Consistent Actuarial Valuation presents powerful methods to measure liabilities and assets in a consistent way. The mathematical framework that leads to market-consistent values for insurance liabilities is explained in detail by the authors. 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.
Category: Mathematics

Monte Carlo Methods And Models In Finance And Insurance

Author : Ralf Korn
ISBN : 1420076191
Genre : Mathematics
File Size : 39.91 MB
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Offering a unique balance between applications and calculations, Monte Carlo Methods and Models in Finance and Insurance incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. It presents recent methods and algorithms, including the multilevel Monte Carlo method, the statistical Romberg method, and the Heath–Platen estimator, as well as recent financial and actuarial models, such as the Cheyette and dynamic mortality models. The authors separately discuss Monte Carlo techniques, stochastic process basics, and the theoretical background and intuition behind financial and actuarial mathematics, before bringing the topics together to apply the Monte Carlo methods to areas of finance and insurance. This allows for the easy identification of standard Monte Carlo tools and for a detailed focus on the main principles of financial and insurance mathematics. The book describes high-level Monte Carlo methods for standard simulation and the simulation of stochastic processes with continuous and discontinuous paths. It also covers a wide selection of popular models in finance and insurance, from Black–Scholes to stochastic volatility to interest rate to dynamic mortality. Through its many numerical and graphical illustrations and simple, insightful examples, this book provides a deep understanding of the scope of Monte Carlo methods and their use in various financial situations. The intuitive presentation encourages readers to implement and further develop the simulation methods.
Category: Mathematics