Fundamentals Of Actuarial Mathematics

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Fundamentals of Actuarial Mathematics

Author : S. David Promislow
Publisher : John Wiley & Sons
Page : 552 pages
File Size : 54,7 Mb
Release : 2015-01-20
Category : Mathematics
ISBN : 9781118782460

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Fundamentals of Actuarial Mathematics by S. David Promislow Pdf

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.

Fundamentals of Actuarial Mathematics

Author : S. David Promislow
Publisher : John Wiley & Sons
Page : 390 pages
File Size : 41,9 Mb
Release : 2011-01-06
Category : Mathematics
ISBN : 9780470978078

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Fundamentals of Actuarial Mathematics by S. David Promislow Pdf

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.

Actuarial Mathematics

Author : Newton L. Bowers
Publisher : Unknown
Page : 656 pages
File Size : 51,5 Mb
Release : 1986
Category : Business & Economics
ISBN : UOM:39015059000367

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Actuarial Mathematics by Newton L. Bowers Pdf

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 : 55,7 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.

Actuarial Finance

Author : Mathieu Boudreault,Jean-François Renaud
Publisher : John Wiley & Sons
Page : 592 pages
File Size : 40,5 Mb
Release : 2019-03-22
Category : Mathematics
ISBN : 9781119137016

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Actuarial Finance by Mathieu Boudreault,Jean-François Renaud Pdf

A new textbook offering a comprehensive introduction to models and techniques for the emerging field of actuarial Finance Drs. Boudreault and Renaud answer the need for a clear, application-oriented guide to the growing field of actuarial finance with this volume, which focuses on the mathematical models and techniques used in actuarial finance for the pricing and hedging of actuarial liabilities exposed to financial markets and other contingencies. With roots in modern financial mathematics, actuarial finance presents unique challenges due to the long-term nature of insurance liabilities, the presence of mortality or other contingencies and the structure and regulations of the insurance and pension markets. Motivated, designed and written for and by actuaries, this book puts actuarial applications at the forefront in addition to balancing mathematics and finance at an adequate level to actuarial undergraduates. While the classical theory of financial mathematics is discussed, the authors provide a thorough grounding in such crucial topics as recognizing embedded options in actuarial liabilities, adequately quantifying and pricing liabilities, and using derivatives and other assets to manage actuarial and financial risks. Actuarial applications are emphasized and illustrated with about 300 examples and 200 exercises. The book also comprises end-of-chapter point-form summaries to help the reader review the most important concepts. Additional topics and features include: Compares pricing in insurance and financial markets Discusses event-triggered derivatives such as weather, catastrophe and longevity derivatives and how they can be used for risk management; Introduces equity-linked insurance and annuities (EIAs, VAs), relates them to common derivatives and how to manage mortality for these products Introduces pricing and replication in incomplete markets and analyze the impact of market incompleteness on insurance and risk management; Presents immunization techniques alongside Greeks-based hedging; Covers in detail how to delta-gamma/rho/vega hedge a liability and how to rebalance periodically a hedging portfolio. This text will prove itself a firm foundation for undergraduate courses in financial mathematics or economics, actuarial mathematics or derivative markets. It is also highly applicable to current and future actuaries preparing for the exams or actuary professionals looking for a valuable addition to their reference shelf. As of 2019, the book covers significant parts of the Society of Actuaries’ Exams FM, IFM and QFI Core, and the Casualty Actuarial Society’s Exams 2 and 3F. It is assumed the reader has basic skills in calculus (differentiation and integration of functions), probability (at the level of the Society of Actuaries’ Exam P), interest theory (time value of money) and, ideally, a basic understanding of elementary stochastic processes such as random walks.

Regression Modeling with Actuarial and Financial Applications

Author : Edward W. Frees
Publisher : Cambridge University Press
Page : 585 pages
File Size : 52,8 Mb
Release : 2010
Category : Business & Economics
ISBN : 9780521760119

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Regression Modeling with Actuarial and Financial Applications by Edward W. Frees Pdf

This book teaches multiple regression and time series and how to use these to analyze real data in risk management and finance.

Actuarial Mathematics of Social Security Pensions

Author : Subramaniam Iyer
Publisher : International Labour Organization
Page : 152 pages
File Size : 50,6 Mb
Release : 1999
Category : Political Science
ISBN : 922110866X

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Actuarial Mathematics of Social Security Pensions by Subramaniam Iyer Pdf

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.

Introduction to Insurance Mathematics

Author : Annamaria Olivieri,Ermanno Pitacco
Publisher : Springer
Page : 508 pages
File Size : 51,8 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.

Pension Mathematics for Actuaries

Author : Arthur W. Anderson
Publisher : ACTEX Publications
Page : 305 pages
File Size : 44,7 Mb
Release : 2006
Category : Business & Economics
ISBN : 9781566985598

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Pension Mathematics for Actuaries by Arthur W. Anderson Pdf

An Introduction to Actuarial Mathematics

Author : Arjun K. Gupta,Tamas Varga
Publisher : Springer Science & Business Media
Page : 359 pages
File Size : 47,8 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Reinsurance

Author : Hansjörg Albrecher,Jan Beirlant,Jozef L. Teugels
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 47,8 Mb
Release : 2017-08-21
Category : Mathematics
ISBN : 9781119419945

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Reinsurance by Hansjörg Albrecher,Jan Beirlant,Jozef L. Teugels Pdf

Reinsurance: Actuarial and Statistical Aspects provides a survey of both the academic literature in the field as well as challenges appearing in reinsurance practice and puts the two in perspective. The book is written for researchers with an interest in reinsurance problems, for graduate students with a basic knowledge of probability and statistics as well as for reinsurance practitioners. The focus of the book is on modelling together with the statistical challenges that go along with it. The discussed statistical approaches are illustrated alongside six case studies of insurance loss data sets, ranging from MTPL over fire to storm and flood loss data. Some of the presented material also contains new results that have not yet been published in the research literature. An extensive bibliography provides readers with links for further study.

An Introduction to the Mathematics of Finance

Author : Stephen Garrett
Publisher : Butterworth-Heinemann
Page : 464 pages
File Size : 48,7 Mb
Release : 2013-05-28
Category : Mathematics
ISBN : 9780080982755

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An Introduction to the Mathematics of Finance by Stephen Garrett Pdf

An Introduction to the Mathematics of Finance: A Deterministic Approach, 2e, offers a highly illustrated introduction to mathematical finance, with a special emphasis on interest rates. This revision of the McCutcheon-Scott classic follows the core subjects covered by the first professional exam required of UK actuaries, the CT1 exam. It realigns the table of contents with the CT1 exam and includes sample questions from past exams of both The Actuarial Profession and the CFA Institute. With a wealth of solved problems and interesting applications, An Introduction to the Mathematics of Finance stands alone in its ability to address the needs of its primary target audience, the actuarial student. Closely follows the syllabus for the CT1 exam of The Institute and Faculty of Actuaries Features new content and more examples Online supplements available: http://booksite.elsevier.com/9780080982403/ Includes past exam questions from The Institute and Faculty of Actuaries and the CFA Institute

Actuaries' Survival Guide

Author : Fred Szabo
Publisher : Academic Press
Page : 298 pages
File Size : 42,9 Mb
Release : 2012-05-21
Category : Business & Economics
ISBN : 9780123869432

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Actuaries' Survival Guide by Fred Szabo Pdf

What would you like to do with your life? What career would allow you to fulfill your dreams of success? If you like mathematics-and the prospect of a highly mobile, international profession-consider becoming an actuary. Szabo's Actuaries' Survival Guide, Second Edition explains what actuaries are, what they do, and where they do it. It describes exciting combinations of ideas, techniques, and skills involved in the day-to-day work of actuaries. This second edition has been updated to reflect the rise of social networking and the internet, the progress toward a global knowledge-based economy, and the global expansion of the actuarial field that has occurred since the first edition. Includes details on the new structures of the Society of Actuaries' (SOA) and Casualty Actuarial Society (CAS) examinations, as well as sample questions and answers Presents an overview of career options, includes profiles of companies & agencies that employ actuaries. Provides a link between theory and practice and helps readers understand the blend of qualitative and quantitative skills and knowledge required to succeed in actuarial exams Includes insights provided by over 50 actuaries and actuarial students about the actuarial profession Author Fred Szabo has directed the Actuarial Co-op Program at Concordia for over fifteen years

Understanding Actuarial Practice

Author : Stuart A. Klugman
Publisher : Unknown
Page : 529 pages
File Size : 54,8 Mb
Release : 2012-01-01
Category : Actuarial science
ISBN : 0975933752

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Understanding Actuarial Practice by Stuart A. Klugman Pdf

New required text for the FAP Modules, as of January 31, 2012. A critical point in an actuary's education is the transition from understanding the mathematical underpinnings of actuarial science to putting them into practice. The problems become less well-defined and the solutions less clear-cut. Understanding Actuarial Practice is designed to aid that transition in four of the areas in which actuaries practice: investments, life insurance and annuities, retirement benefits, and health insurance. In each area students are introduced to the products that are delivered in each area and the relevant methods with regard to pricing, reserving and funding. Examples are supported by readily available spreadsheets and there are numerous exercises that reinforce the concepts. While written expressly for use in the Society of Actuaries Fundamentals of Actuarial Practice Course, this book is a valuable resource for anyone who desires to learn how actuarial principles are put into practice.