Fundamentals of Actuarial Mathematics

Author: S. David Promislow

Publisher: John Wiley & Sons

ISBN: 0470978074

Category: Mathematics

Page: 424

View: 5542

This book provides a comprehensive introduction to actuarial mathematics, covering both deterministic and stochastic models of life contingencies, as well as more advanced topics such as risk theory, credibility theory and multi-state models. This new edition includes additional material on credibility theory, continuous time multi-state models, more complex types of contingent insurances, flexible contracts such as universal life, the risk measures VaR and TVaR. Key Features: Covers much of the syllabus material on the modeling examinations of the Society of Actuaries, Canadian Institute of Actuaries and the Casualty Actuarial Society. (SOA-CIA exams MLC and C, CSA exams 3L and 4.) Extensively revised and updated with new material. Orders the topics specifically to facilitate learning. Provides a streamlined approach to actuarial notation. Employs modern computational methods. Contains a variety of exercises, both computational and theoretical, together with answers, enabling use for self-study. An ideal text for students planning for a professional career as actuaries, providing a solid preparation for the modeling examinations of the major North American actuarial associations. Furthermore, this book is highly suitable reference for those wanting a sound introduction to the subject, and for those working in insurance, annuities and pensions.
Posted in Mathematics

Actuarial Mathematics

Author: Harry H. Panjer

Publisher: American Mathematical Soc.

ISBN: 0821800965

Category: Political Science

Page: 127

View: 4253

These lecture notes from the 1985 AMS Short Course examine a variety of topics from the contemporary theory of actuarial mathematics. Recent clarification in the concepts of probability and statistics has laid a much richer foundation for this theory. Other factors that have shaped the theory include the continuing advances in computer science, the flourishing mathematical theory of risk, developments in stochastic processes, and recent growth in the theory of finance. In turn, actuarial concepts have been applied to other areas such as biostatistics, demography, economic, and reliability engineering.
Posted in Political Science

An Introduction to Actuarial Mathematics

Author: Arjun K. Gupta,Tamas Varga

Publisher: Springer Science & Business Media

ISBN: 9401707111

Category: Business & Economics

Page: 350

View: 7694

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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Posted in Business & Economics

Solutions Manual for Actuarial Mathematics for Life Contingent Risks

Author: David C. M. Dickson,Mary R. Hardy,Howard R. Waters

Publisher: Cambridge University Press

ISBN: 1107608449

Category: Business & Economics

Page: 171

View: 2180

This must-have manual provides solutions to all exercises in Dickson, Hardy and Waters' Actuarial Mathematics for Life Contingent Risks, the groundbreaking text on the modern mathematics of life insurance that is the required reading for the SOA Exam MLC and also covers more or less the whole syllabus for the UK Subject CT5 exam. The more than 150 exercises are designed to teach skills in simulation and projection through computational practice, and the solutions are written to give insight as well as exam preparation. Companion spreadsheets are available for free download to show implementation of computational methods.
Posted in Business & Economics

Actuarial mathematics

Author: Newton L. Bowers,Society of Actuaries

Publisher: N.A

ISBN: N.A

Category: Business & Economics

Page: 624

View: 1628

Posted in Business & Economics

Actuarial Mathematics for Life Contingent Risks

Author: David C. M. Dickson,Mary Hardy,Mary R. Hardy,Howard R. Waters

Publisher: Cambridge University Press

ISBN: 1107044073

Category: Business & Economics

Page: 616

View: 6526

This groundbreaking text has been augmented with new material and fully updated to prepare students for the new-style MLC exam.
Posted in Business & Economics

Pension Actuarial Mathematics

Author: Philip Martin McCaulay

Publisher: CreateSpace

ISBN: 9781499247169

Category: Mathematics

Page: 40

View: 6040

This 40-page publication on pension actuarial mathematics covers topics such as (I) interest and mortality, (II) cost methods, (III) amortization and contributions, and (IV) Duration and Convexity. Part I on interest and mortality includes mortality rates and survival functions, the theory of interest, commutation functions, and life annuity factors. Part II on cost methods includes the Unit Credit (UC) Cost Method, the Projected Unit Credit (PUC) Cost Method, the Entry Age Normal (EAN) Cost Method, and the Aggregate Cost Method. Part III on amortization and contributions includes calculating amortization periods, formulas for amortization factors, and contribution requirements. Part IV has formulas and examples for Duration and Convexity. Each of the four parts has an exercise set with an answer key and explanations.
Posted in Mathematics

Actuarial Mathematics of Social Security Pensions

Author: Subramaniam Iyer

Publisher: International Labour Organization

ISBN: 9789221108665

Category: Political Science

Page: 130

View: 5028

Describes the application of actuarial principles and techniques to public social insurance pension schemes. Aims to establish a link between public social security and occupational pension scheme methods. Part one discusses actuarial theory. Part two deals with two techniques: the projection technique, and the present value technique. There is also a brief description of actuarial mathematics.
Posted in Political Science

Actuarial Mathematics

Author: Harry H. Panjer

Publisher: American Mathematical Soc.

ISBN: 0821800965

Category: Political Science

Page: 127

View: 2432

These lecture notes from the 1985 AMS Short Course examine a variety of topics from the contemporary theory of actuarial mathematics. Recent clarification in the concepts of probability and statistics has laid a much richer foundation for this theory. Other factors that have shaped the theory include the continuing advances in computer science, the flourishing mathematical theory of risk, developments in stochastic processes, and recent growth in the theory of finance. In turn, actuarial concepts have been applied to other areas such as biostatistics, demography, economic, and reliability engineering.
Posted in Political Science

An Elementary Treatise on Actuarial Mathematics

Author: Harry Freeman

Publisher: Cambridge University Press

ISBN: 1316611787

Category: Business & Economics

Page: 414

View: 6358

Originally published in 1931, this book was written to provide actuarial students with a guide to mathematics, with information on elementary trigonometry, finite differences, summation, differential and integral calculus, and probability. Examples are included throughout. This book will be of value to anyone with an interest in actuarial practice and its relationship with aspects of mathematics.
Posted in Business & Economics

Financial and Actuarial Mathematics

Author: Wai-Sum Chan,Yiu-Kuen Tse

Publisher: N.A

ISBN: 9780071258562

Category: Actuaries

Page: 335

View: 6591

Posted in Actuaries

Fundamentals of Actuarial Mathematics

Mathematics, Mathematics

Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 1467211338

Category: Education

Page: 19

View: 1336

Facts101 is your complete guide to Fundamentals of Actuarial Mathematics. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.
Posted in Education

Lebensversicherungsmathematik

Author: Hans U. Gerber

Publisher: Springer-Verlag

ISBN: 3642713106

Category: Business & Economics

Page: 126

View: 4506

Posted in Business & Economics

Actuarial Science

Theory and Methodology

Author: N.A

Publisher: N.A

ISBN: 9814479330

Category:

Page: N.A

View: 7244

Posted in

Mathematical and Statistical Methods for Actuarial Sciences and Finance

Author: Marco Corazza,Claudio Pizzi

Publisher: Springer

ISBN: 331902499X

Category: Mathematics

Page: 313

View: 9141

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.
Posted in Mathematics