An Introduction To Non Life Insurance Mathematics

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Non-Life Insurance Mathematics

Author : Thomas Mikosch
Publisher : Springer Science & Business Media
Page : 435 pages
File Size : 49,5 Mb
Release : 2009-04-21
Category : Mathematics
ISBN : 9783540882336

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Non-Life Insurance Mathematics by Thomas Mikosch Pdf

"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

Non-Life Insurance Mathematics

Author : Erwin Straub
Publisher : Springer Science & Business Media
Page : 148 pages
File Size : 51,8 Mb
Release : 1997-06-19
Category : Business & Economics
ISBN : 3540187871

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Non-Life Insurance Mathematics by Erwin Straub Pdf

A good mixture of practical problems and their solutions. Addresses students with no knowledge of insurance and insurance practitioners who recall mathematics only from some distance. Prerequisites are basic calculus and probability theory. Annotation copyrighted by Book News, Inc., Portland, OR

Non-Life Insurance Mathematics

Author : Thomas Mikosch
Publisher : Unknown
Page : 256 pages
File Size : 40,7 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662308088

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Non-Life Insurance Mathematics by Thomas Mikosch Pdf

Introduction to Insurance Mathematics

Author : Annamaria Olivieri,Ermanno Pitacco
Publisher : Springer
Page : 508 pages
File Size : 46,5 Mb
Release : 2015-09-30
Category : Mathematics
ISBN : 9783319213774

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Introduction to Insurance Mathematics by Annamaria Olivieri,Ermanno Pitacco Pdf

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.

Non-Life Insurance Mathematics

Author : Thomas Mikosch
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 54,7 Mb
Release : 2006-11-22
Category : Mathematics
ISBN : 9783540448891

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Non-Life Insurance Mathematics by Thomas Mikosch Pdf

"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

Non-Life Insurance Pricing with Generalized Linear Models

Author : Esbjörn Ohlsson,Björn Johansson
Publisher : Springer Science & Business Media
Page : 174 pages
File Size : 45,7 Mb
Release : 2010-03-18
Category : Mathematics
ISBN : 9783642107917

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Non-Life Insurance Pricing with Generalized Linear Models by Esbjörn Ohlsson,Björn Johansson Pdf

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.

Risk and Insurance

Author : Søren Asmussen,Mogens Steffensen
Publisher : Springer Nature
Page : 505 pages
File Size : 44,6 Mb
Release : 2020-04-17
Category : Mathematics
ISBN : 9783030351762

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Risk and Insurance by Søren Asmussen,Mogens Steffensen Pdf

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.

Solutions Manual for Actuarial Mathematics for Life Contingent Risks

Author : David C. M. Dickson,Mary R. Hardy,Howard R. Waters
Publisher : Cambridge University Press
Page : 180 pages
File Size : 47,8 Mb
Release : 2012-03-26
Category : Business & Economics
ISBN : 9781107608443

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Solutions Manual for Actuarial Mathematics for Life Contingent Risks by David C. M. Dickson,Mary R. Hardy,Howard R. Waters Pdf

"This manual presents solutions to all exercises from Actuarial Mathematics for Life Contingent Risks (AMLCR) by David C.M. Dickson, Mary R. Hardy, Howard Waters; Cambridge University Press, 2009. ISBN 9780521118255"--Pref.

Bayesian Claims Reserving Methods in Non-life Insurance with Stan

Author : Guangyuan Gao
Publisher : Springer
Page : 205 pages
File Size : 54,7 Mb
Release : 2018-12-31
Category : Mathematics
ISBN : 9789811336096

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Bayesian Claims Reserving Methods in Non-life Insurance with Stan by Guangyuan Gao Pdf

This book first provides a review of various aspects of Bayesian statistics. It then investigates three types of claims reserving models in the Bayesian framework: chain ladder models, basis expansion models involving a tail factor, and multivariate copula models. For the Bayesian inferential methods, this book largely relies on Stan, a specialized software environment which applies Hamiltonian Monte Carlo method and variational Bayes.

Modern Problems in Insurance Mathematics

Author : Dmitrii Silvestrov,Anders Martin-Löf
Publisher : Springer
Page : 385 pages
File Size : 46,5 Mb
Release : 2014-06-06
Category : Business & Economics
ISBN : 9783319066530

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Modern Problems in Insurance Mathematics by Dmitrii Silvestrov,Anders Martin-Löf Pdf

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.

Life Insurance Mathematics

Author : Hans U. Gerber
Publisher : Springer Science & Business Media
Page : 137 pages
File Size : 48,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662026557

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Life Insurance Mathematics by Hans U. Gerber Pdf

HaIley's Comet has been prominently displayed in many newspapers during the last few months. For the first time in 76 years it appeared this winter, clearly visible against the nocturnal sky. This is an appropriate occasion to point out the fact that Sir Edmund Halley also constructed the world's first life table in 1693, thus creating the scientific foundation of life insurance. Halley's life table and its successors were viewed as deterministic laws, i. e. the number of deaths in any given group and year was considered to be a weIl defined number that could be calculated by means of a life table. However, in reality this number is random. Thus any mathematical treatment of life insurance will have to rely more and more on prob ability theory. By sponsoring this monograph the Swiss Association of Actuaries wishes to support the "modern" probabilistic view oflife contingencies. We are fortu nate that Professor Gerber, an internationally renowned expert, has assumed the task of writing the monograph. We thank the Springer-Verlag and hope that this monograph will be the first in a successful series of actuarial texts. Hans Bühlmann Zürich, March 1986 President Swiss Association of Actuaries Preface Two major developments have influenced the environment of actuarial math ematics. One is the arrival of powerful and affordable computers; the once important problem of numerical calculation has become almost trivial in many instances.

Life Insurance Mathematics

Author : Hans U. Gerber
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 45,8 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783662034606

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Life Insurance Mathematics by Hans U. Gerber Pdf

From the reviews: "The highly esteemed 1990 first edition of this book now appears in a much expanded second edition. The difference between the first two English editions is entirely due to the addition of numerous exercises. The result is a truly excellent book, balancing ideally between theory and practice. ....As already hinted at above, this book provides the ideal bridge between the classical (deterministic) life insurance theory and the emerging dynamic models based on stochastic processes and the modern theory of finance. The structure of the bridge is very solid, though at the same time pleasant to walk along. I have no doubt that Gerber's book will become the standard text for many years to come. Metrika, 44, 1996, 2

An Introduction to Actuarial Mathematics

Author : Arjun K. Gupta,Tamas Varga
Publisher : Springer Science & Business Media
Page : 359 pages
File Size : 41,5 Mb
Release : 2013-04-17
Category : Business & Economics
ISBN : 9789401707114

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An Introduction to Actuarial Mathematics by Arjun K. Gupta,Tamas Varga Pdf

to Actuarial Mathematics by A. K. Gupta Bowling Green State University, Bowling Green, Ohio, U. S. A. and T. Varga National Pension Insurance Fund. Budapest, Hungary SPRINGER-SCIENCE+BUSINESS MEDIA, B. V. A C. I. P. Catalogue record for this book is available from the Library of Congress. ISBN 978-90-481-5949-9 ISBN 978-94-017-0711-4 (eBook) DOI 10. 1007/978-94-017-0711-4 Printed on acid-free paper All Rights Reserved © 2002 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2002 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner. To Alka, Mita, and Nisha AKG To Terezia and Julianna TV TABLE OF CONTENTS PREFACE. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix CHAPTER 1. FINANCIAL MATHEMATICS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1. Compound Interest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 2. Present Value. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 1. 3. Annuities. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 CHAPTER 2. MORTALITy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 2. 1 Survival Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 2. 2. Actuarial Functions of Mortality. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 2. 3. Mortality Tables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 CHAPTER 3. LIFE INSURANCES AND ANNUITIES . . . . . . . . . . . . . . . . . . . . . 112 3. 1. Stochastic Cash Flows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 3. 2. Pure Endowments. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 3. 3. Life Insurances . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 3. 4. Endowments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147 3. 5. Life Annuities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 CHAPTER 4. PREMIUMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194 4. 1. Net Premiums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194 4. 2. Gross Premiums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 Vll CHAPTER 5. RESERVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223 5. 1. Net Premium Reserves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223 5. 2. Mortality Profit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 272 5. 3. Modified Reserves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 286 ANSWERS TO ODD-NuMBERED PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .