An Introduction to Actuarial Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401707111
Total Pages : 359 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis An Introduction to Actuarial Mathematics by : Arjun K. Gupta

Download or read book An Introduction to Actuarial Mathematics written by Arjun K. Gupta and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Pension Mathematics for Actuaries

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Publisher : ACTEX Publications
ISBN 13 : 1566985595
Total Pages : 305 pages
Book Rating : 4.5/5 (669 download)

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Book Synopsis Pension Mathematics for Actuaries by : Arthur W. Anderson

Download or read book Pension Mathematics for Actuaries written by Arthur W. Anderson and published by ACTEX Publications. This book was released on 2006 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Actuarial Mathematics

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Publisher : John Wiley & Sons
ISBN 13 : 0470978074
Total Pages : 390 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Fundamentals of Actuarial Mathematics by : S. David Promislow

Download or read book Fundamentals of Actuarial Mathematics written by S. David Promislow and published by John Wiley & Sons. This book was released on 2011-01-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Insurance Mathematics

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Publisher : Springer
ISBN 13 : 3319213776
Total Pages : 521 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Introduction to Insurance Mathematics by : Annamaria Olivieri

Download or read book Introduction to Insurance Mathematics written by Annamaria Olivieri and published by Springer. This book was released on 2015-09-30 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Pension Mathematics with Numerical Illustrations

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Publisher : University of Pennsylvania Press
ISBN 13 : 9780812231960
Total Pages : 342 pages
Book Rating : 4.2/5 (319 download)

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Book Synopsis Pension Mathematics with Numerical Illustrations by : Howard E. Winklevoss

Download or read book Pension Mathematics with Numerical Illustrations written by Howard E. Winklevoss and published by University of Pennsylvania Press. This book was released on 1993-03-29 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text that quantifies and provides new or improved actuarial notation for long recognized pension cost concepts and procedures and, in certain areas, develops new insights and techniques. With the exception of the first few chapters, the text is a virtual rewrite of the first edition of 1977. Among the major additions are chapters on statutory funding requirements, pension accounting, funding policy analysis, asset allocation, and retiree health benefits.

Solutions Manual for Actuarial Mathematics for Life Contingent Risks

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Publisher : Cambridge University Press
ISBN 13 : 1107608449
Total Pages : 180 pages
Book Rating : 4.1/5 (76 download)

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Book Synopsis Solutions Manual for Actuarial Mathematics for Life Contingent Risks by : David C. M. Dickson

Download or read book Solutions Manual for Actuarial Mathematics for Life Contingent Risks written by David C. M. Dickson and published by Cambridge University Press. This book was released on 2012-03-26 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Actuarial Mathematics of Social Security Pensions

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Publisher : International Labour Organization
ISBN 13 : 9789221108665
Total Pages : 152 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Actuarial Mathematics of Social Security Pensions by : Subramaniam Iyer

Download or read book Actuarial Mathematics of Social Security Pensions written by Subramaniam Iyer and published by International Labour Organization. This book was released on 1999 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

University of Michigan Official Publication

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Publisher : UM Libraries
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis University of Michigan Official Publication by :

Download or read book University of Michigan Official Publication written by and published by UM Libraries. This book was released on with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modelling Longevity Dynamics for Pensions and Annuity Business

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Publisher : OUP Oxford
ISBN 13 : 0191563153
Total Pages : 417 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Modelling Longevity Dynamics for Pensions and Annuity Business by : Ermanno Pitacco

Download or read book Modelling Longevity Dynamics for Pensions and Annuity Business written by Ermanno Pitacco and published by OUP Oxford. This book was released on 2009-01-29 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mortality improvements, uncertainty in future mortality trends and the relevant impact on life annuities and pension plans constitute important topics in the field of actuarial mathematics and life insurance techniques. In particular, actuarial calculations concerning pensions, life annuities and other living benefits (provided, for example, by long-term care insurance products and whole life sickness covers) are based on survival probabilities which necessarily extend over a long time horizon. In order to avoid underestimation of the related liabilities, the insurance company (or the pension plan) must adopt an appropriate forecast of future mortality. Great attention is currently being devoted to the management of life annuity portfolios, both from a theoretical and a practical point of view, because of the growing importance of annuity benefits paid by private pension schemes. In particular, the progressive shift from defined benefit to defined contribution pension schemes has increased the interest in life annuities with a guaranteed annual amount. This book provides a comprehensive and detailed description of methods for projecting mortality, and an extensive introduction to some important issues concerning longevity risk in the area of life annuities and pension benefits. It relies on research work carried out by the authors, as well as on a wide teaching experience and in CPD (Continuing Professional Development) initiatives. The following topics are dealt with: life annuities in the framework of post-retirement income strategies; the basic mortality model; recent mortality trends that have been experienced; general features of projection models; discussion of stochastic projection models, with numerical illustrations; measuring and managing longevity risk.

Fundamentals of Actuarial Mathematics

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Publisher : John Wiley & Sons
ISBN 13 : 1118782461
Total Pages : 552 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Fundamentals of Actuarial Mathematics by : S. David Promislow

Download or read book Fundamentals of Actuarial Mathematics written by S. David Promislow and published by John Wiley & Sons. This book was released on 2015-01-20 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a comprehensive coverage of both the deterministic and stochastic models of life contingencies, risk theory, credibility theory, multi-state models, and an introduction to modern mathematical finance. New edition restructures the material to fit into modern computational methods and provides several spreadsheet examples throughout. Covers the syllabus for the Institute of Actuaries subject CT5, Contingencies Includes new chapters covering stochastic investments returns, universal life insurance. Elements of option pricing and the Black-Scholes formula will be introduced.

Catalogue of the University of Michigan

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Publisher :
ISBN 13 :
Total Pages : 1084 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Catalogue of the University of Michigan by : University of Michigan

Download or read book Catalogue of the University of Michigan written by University of Michigan and published by . This book was released on 1967 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt: Announcements for the following year included in some vols.

Actuarial Mathematics

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Publisher :
ISBN 13 :
Total Pages : 656 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Actuarial Mathematics by : Newton L. Bowers

Download or read book Actuarial Mathematics written by Newton L. Bowers and published by . This book was released on 1986 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Loss Models

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Publisher : John Wiley & Sons
ISBN 13 : 0470391332
Total Pages : 758 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Loss Models by : Stuart A. Klugman

Download or read book Loss Models written by Stuart A. Klugman and published by John Wiley & Sons. This book was released on 2012-01-25 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: An update of one of the most trusted books on constructing and analyzing actuarial models Written by three renowned authorities in the actuarial field, Loss Models, Third Edition upholds the reputation for excellence that has made this book required reading for the Society of Actuaries (SOA) and Casualty Actuarial Society (CAS) qualification examinations. This update serves as a complete presentation of statistical methods for measuring risk and building models to measure loss in real-world events. This book maintains an approach to modeling and forecasting that utilizes tools related to risk theory, loss distributions, and survival models. Random variables, basic distributional quantities, the recursive method, and techniques for classifying and creating distributions are also discussed. Both parametric and non-parametric estimation methods are thoroughly covered along with advice for choosing an appropriate model. Features of the Third Edition include: Extended discussion of risk management and risk measures, including Tail-Value-at-Risk (TVaR) New sections on extreme value distributions and their estimation Inclusion of homogeneous, nonhomogeneous, and mixed Poisson processes Expanded coverage of copula models and their estimation Additional treatment of methods for constructing confidence regions when there is more than one parameter The book continues to distinguish itself by providing over 400 exercises that have appeared on previous SOA and CAS examinations. Intriguing examples from the fields of insurance and business are discussed throughout, and all data sets are available on the book's FTP site, along with programs that assist with conducting loss model analysis. Loss Models, Third Edition is an essential resource for students and aspiring actuaries who are preparing to take the SOA and CAS preliminary examinations. It is also a must-have reference for professional actuaries, graduate students in the actuarial field, and anyone who works with loss and risk models in their everyday work. To explore our additional offerings in actuarial exam preparation visit www.wiley.com/go/actuarialexamprep.

Pension Finance

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Publisher : John Wiley & Sons
ISBN 13 : 9780470058701
Total Pages : 484 pages
Book Rating : 4.0/5 (587 download)

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Book Synopsis Pension Finance by : David Blake

Download or read book Pension Finance written by David Blake and published by John Wiley & Sons. This book was released on 2006-11-02 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a secure grounding in the theory and practice of finance insofar as it deals with pension matters. By using it, the reader will understand the various types of investment assets; * the allocation of personal wealth to different asset classes * corporate pension finance * the financial aspects of defined contribution pension plans during both the accumulation and distribution phases * the financial aspects of defined benefit pension plans * the role of pension funds and pension fund management * pension fund performance measurement and attribution * risk management in pension funds

Understanding Actuarial Management

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Publisher :
ISBN 13 : 9780858130746
Total Pages : 0 pages
Book Rating : 4.1/5 (37 download)

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Book Synopsis Understanding Actuarial Management by : Clare Bellis

Download or read book Understanding Actuarial Management written by Clare Bellis and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Actuarial Mathematics and Life-Table Statistics

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Publisher : Chapman & Hall
ISBN 13 : 9781439861974
Total Pages : 320 pages
Book Rating : 4.8/5 (619 download)

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Book Synopsis Actuarial Mathematics and Life-Table Statistics by : Eric V. Slud

Download or read book Actuarial Mathematics and Life-Table Statistics written by Eric V. Slud and published by Chapman & Hall. This book was released on 2012 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text covers life tables, survival models, and life insurance premiums and reserves. It presents the actuarial material conceptually with reference to ideas from other mathematical studies, allowing readers with knowledge in calculus to explore business, actuarial science, economics, and statistics. Each chapter contains exercise sets and worked examples, which highlight the most important and frequently used formulas and show how the ideas and formulas work together smoothly. Illustrations and solutions are also provided.

Actuarial Note

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Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Actuarial Note by : United States. Social Security Administration

Download or read book Actuarial Note written by United States. Social Security Administration and published by . This book was released on 1967 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: