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Introduction to actuarial and financial mathematical methods
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ISBN: 0128004916 0128001569 9780128004913 9780128001561 Year: 2015 Publisher: London, [England] ; San Diego, California : Academic Press, an imprint of Elsevier,

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Abstract

This self-contained module for independent study covers the subjects most often needed by non-mathematics graduates, such as fundamental calculus, linear algebra, probability, and basic numerical methods. The easily-understandable text of "Introduction to Actuarial and Mathematical Methods" features examples, motivations, and lots of practice from a large number of end-of-chapter questions. Questions range from short calculations to large project-based assignments, all designed to promote independent thinking and the application of mathematical ideas. Model solutions are included. The intuitive organization of "Introduction to Actuarial and Mathematical Methods" maximizes its usefulness as a means of self-study and as a reference source. Financial concepts and terminology introduce every mathematical concept and theory. For readers with diverse backgrounds entering programs of the Institute and Faculty of Actuaries, the Society of Actuaries, and the CFA Institute, "Introduction to Actuarial and Mathematical Methods" can provide a consistency of mathematical knowledge from the outset. -- From book cover.


Book
Ruin probabilities
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ISBN: 9789814282529 9814282529 9786613143839 9814282537 1283143836 9789814282536 Year: 2010 Publisher: Singapore ; Hackensack, N.J. : World Scientific,

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The book gives a comprehensive treatment of the classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the Cramer-Lundberg approximation, exact solutions, other approximations (e.g., for heavy-tailed claim size distributions), finite horizon ruin probabilities, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation, periodicity, change of measure techniques, phase-type distributions as a computational vehicle and the connection to other applied probability areas, like queueing theory. In this substantia


Book
Mathematical and Statistical Methods for Actuarial Sciences and Finance
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ISBN: 8847014808 9786613251671 8847014816 1283251671 Year: 2010 Publisher: Milano : Springer Milan : Imprint: Springer,

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The interaction between mathematicians and statisticians reveals to be an effective approach for dealing with actuarial, insurance and financial problems, both in an academic and in an operative perspective. The international conference MAF 2008, held at the University Ca’ Foscari of Venezia (Italy) in 2008, had precisely this purpose, and the collection here published gathers a selection of about the one hundred papers presented at the conference and successively referred and reviewed to this aim. They cover a wide variety of subjects in actuarial, insurance and financial fields, all treated in light of the successful cooperation between the two quantitative approaches.


Book
Financial modeling, actuarial valuation and solvency in insurance
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ISBN: 3642313914 3642313922 3642432964 Year: 2013 Publisher: Heidelberg, Germany : Springer,

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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.


Book
Mathematical and Statistical Methods for Actuarial Sciences and Finance
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ISBN: 8847055806 8847023416 9786613711458 1280813954 8847023424 Year: 2012 Publisher: Milano : Springer Milan : Imprint: Springer,

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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.


Book
Stochastic Models in Life Insurance
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ISSN: 18696929 ISBN: 3642284388 3642284396 Year: 2012 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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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.

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