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| financial mathematics for actuaries: Financial Mathematics For Actuaries (Second Edition) Wai-sum Chan, Yiu-kuen Tse, 2017-07-28 Financial Mathematics for Actuaries is a textbook for students in actuarial science, quantitative finance, financial engineering and quantitative risk management and is designed for a one-semester undergraduate course.Covering the theories of interest rates, with applications to the evaluation of cash flows, the pricing of fixed income securities and the management of bonds, this textbook also contains numerous examples and exercises and extensive coverage of various Excel functions for financial calculation. Discussions are linked to real financial market data, such as historical term structure, and traded financial securities.The topics discussed in this book are essential for actuarial science students. They are also useful for students in financial markets, investments and quantitative finance. Students preparing for examinations in financial mathematics with various professional actuarial bodies will also find this book useful for self-study.In this second edition, the recent additions in the learning objectives of the Society of Actuaries Exam FM have been covered. |
| financial mathematics for actuaries: Financial Mathematics For Actuarial Science Richard James Wilders, 2020-01-24 Financial Mathematics for Actuarial Science: The Theory of Interest is concerned with the measurement of interest and the various ways interest affects what is often called the time value of money (TVM). Interest is most simply defined as the compensation that a borrower pays to a lender for the use of capital. The goal of this book is to provide the mathematical understandings of interest and the time value of money needed to succeed on the actuarial examination covering interest theory Key Features Helps prepare students for the SOA Financial Mathematics Exam Provides mathematical understanding of interest and the time value of money needed to succeed in the actuarial examination covering interest theory Contains many worked examples, exercises and solutions for practice Provides training in the use of calculators for solving problems A complete solutions manual is available to faculty adopters online |
| financial mathematics for actuaries: Actuarial Finance Mathieu Boudreault, Jean-François Renaud, 2019-03-22 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. |
| financial mathematics for actuaries: Introduction to Actuarial and Financial Mathematical Methods Stephen Garrett, 2015-05-02 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. 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. - Presents a self-study mathematics refresher course for the first two years of an actuarial program - Features examples, motivations, and practice problems from a large number of end-of-chapter questions designed to promote independent thinking and the application of mathematical ideas - Practitioner friendly rather than academic - Ideal for self-study and as a reference source for readers with diverse backgrounds entering programs of the Institute and Faculty of Actuaries, the Society of Actuaries, and the CFA Institute |
| financial mathematics for actuaries: Financial Mathematics For Actuarial Science Richard James Wilders, 2020-01-24 Financial Mathematics for Actuarial Science: The Theory of Interest is concerned with the measurement of interest and the various ways interest affects what is often called the time value of money (TVM). Interest is most simply defined as the compensation that a borrower pays to a lender for the use of capital. The goal of this book is to provide the mathematical understandings of interest and the time value of money needed to succeed on the actuarial examination covering interest theory Key Features Helps prepare students for the SOA Financial Mathematics Exam Provides mathematical understanding of interest and the time value of money needed to succeed in the actuarial examination covering interest theory Contains many worked examples, exercises and solutions for practice Provides training in the use of calculators for solving problems A complete solutions manual is available to faculty adopters online |
| financial mathematics for actuaries: Financial and Actuarial Mathematics Wai-Sum Chan, Yiu-Kuen Tse, 2007 |
| financial mathematics for actuaries: Fundamentals of Actuarial Mathematics S. David Promislow, 2011-01-06 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. |
| financial mathematics for actuaries: Financial Mathematics Chris Ruckman, Joe Francis, 2005 |
| financial mathematics for actuaries: Actuarial Mathematics Newton L. Bowers, 1986 |
| financial mathematics for actuaries: Financial Mathematics for Actuaries Wai-Sum Chan, Yiu Kuen Tse, 2012-11-18 |
| financial mathematics for actuaries: Financial Mathematics Olivier Le Courtois, 2019-08-11 This books presents in a very compact way the fundamental aspects of financial mathematics. It provides the key concepts and tools a student needs to master the Exam FM of the Society of Actuaries (SOA) and the Exam 2 of the Casualty Actuarial Society (CAS). This text benefits from the vision and experience of the author, who is a professor who has taught finance, insurance, and risk management for many years. The author is also a Fellow of the Society of Actuaries. Students interested in econometrics, finance, statistics, mathematics, or other fields, will also find this book a useful tool to help them further their studies. This book can also be warmly recommended as a prerequisite reading to the students who consider taking, or are in the process of taking, the Chartered Financial Analyst (CFA) exams. Indeed, the fixed income and company valuation material studied in the CFA syllabus is fundamentally based on the financial mathematics results shown in this book. This text does not just present the material; it furthers an understanding of the foundations of financial mathematics. This book does not include exercises because it is designed to be used with the (long) series of exercises made freely available by the Society of Actuaries. The tables in the appendix link the exercises of the Society of Actuaries with the equations in the book. These tables can be a very convenient tool for providing hints for the exercises that the student cannot solve - instead of going directly to the solutions. The order in which the contents of this book are presented mostly respects the order of the Society of Actuaries and Casualty Actuarial Society syllabi. Very few adjustments were made to this order and they were done for pedagogical improvement reasons only. This text is the second one in a series dedicated to actuarial associateship exams. In each of these books, conceptual links between the contents of the various exams are provided. This book was also written in such a way that you can use it throughout your career. This book is the book the author would have liked to have when he took the Exam FM of the Society of Actuaries. It contains all the formulas that are useful to solve the official exercises of the SOA. This book is compact, theoretically solid, and not verbose. To benefit fully from this book, a mathematical background of at least one year of calculus after A-level is needed. |
| financial mathematics for actuaries: Actuarial Mathematics Harry H. Panjer, American Mathematical Society, 1986 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. |
| financial mathematics for actuaries: Solutions Manual for Actuarial Mathematics for Life Contingent Risks David C. M. Dickson, Mary R. Hardy, Howard R. Waters, 2012-03-26 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. |
| financial mathematics for actuaries: Actuaries' Survival Guide Fred Szabo, 2012-06-25 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 |
| financial mathematics for actuaries: Financial Modeling, Actuarial Valuation and Solvency in Insurance Mario V. Wüthrich, Michael Merz, 2013-04-04 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. |
| financial mathematics for actuaries: An Introduction to the Mathematics of Finance Stephen Garrett, 2013-05-28 An Introduction to the Mathematics of Finance: A Deterministic Approach, Second edition, 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 |
| financial mathematics for actuaries: Financial and Actuarial Statistics Dale S. Borowiak, Arnold F. Shapiro, 2013-11-12 Understand Up-to-Date Statistical Techniques for Financial and Actuarial ApplicationsSince the first edition was published, statistical techniques, such as reliability measurement, simulation, regression, and Markov chain modeling, have become more prominent in the financial and actuarial industries. Consequently, practitioners and students must ac |
| financial mathematics for actuaries: A Spiral Approach to Financial Mathematics Nathan Tintle, Nathan Schelhaas, Todd Swanson, 2018-06-15 A Spiral Approach to Financial Mathematics lays a foundation of intuitive analysis of financial concepts early in the course, followed by a more detailed and nuanced treatment in later chapters. It introduces major financial concepts through real situations, integrates active learning, student focused explorations and examples with Excel spreadsheets and straightforward financial calculations. It is organized so sections can be read independently or through in-class guided-discovery activities and/or interactive lectures. Focusing on conceptual understanding to maximize comprehension and retention, using modern financial analysis tools and utilizing active learning, the book offers a modern approach that eliminates tedious and time-consuming calculations initially without underestimating the ability of readers. - Covers FM Exam topics - Includes Excel spreadsheets that enable the execution of financial transactions - Presents a spiral, active learning pedagogical strategy that accentuates key concepts and reinforces intuitive learning |
| financial mathematics for actuaries: Mathematical Interest Theory: Third Edition Leslie Jane Federer Vaaler, Shinko Kojima Harper, James W. Daniel, 2021-04-15 Mathematical Interest Theory provides an introduction to how investments grow over time. This is done in a mathematically precise manner. The emphasis is on practical applications that give the reader a concrete understanding of why the various relationships should be true. Among the modern financial topics introduced are: arbitrage, options, futures, and swaps. Mathematical Interest Theory is written for anyone who has a strong high-school algebra background and is interested in being an informed borrower or investor. The book is suitable for a mid-level or upper-level undergraduate course or a beginning graduate course. The content of the book, along with an understanding of probability, will provide a solid foundation for readers embarking on actuarial careers. The text has been suggested by the Society of Actuaries for people preparing for the Financial Mathematics exam. To that end, Mathematical Interest Theory includes more than 260 carefully worked examples. There are over 475 problems, and numerical answers are included in an appendix. A companion student solution manual has detailed solutions to the odd-numbered problems. Most of the examples involve computation, and detailed instruction is provided on how to use the Texas Instruments BA II Plus and BA II Plus Professional calculators to efficiently solve the problems. This Third Edition updates the previous edition to cover the material in the SOA study notes FM-24-17, FM-25-17, and FM-26-17. |
| financial mathematics for actuaries: Regression Modeling with Actuarial and Financial Applications Edward W. Frees, 2010 This book teaches multiple regression and time series and how to use these to analyze real data in risk management and finance. |
| financial mathematics for actuaries: The Handbook of Graph Algorithms and Applications Krishnaiyan Thulasiraman, Arun Kumar Somani, Sarma Vrudhula, 2015-05-12 The Handbook of Graph Algorithms, Volume II : Applications focuses on a wide range of algorithmic applications, including graph theory problems. The book emphasizes new algorithms and approaches that have been triggered by applications. The approaches discussed require minimal exposure to related technologies in order to understand the material. Each chapter is devoted to a single application area, from VLSI circuits to optical networks to program graphs, and features an introduction by a pioneer researcher in that particular field. The book serves as a single-source reference for graph algorithms and their related applications. |
| financial mathematics for actuaries: Financial Mathematics Alexander Solla, 2015-07-01 Financial Mathematics: A Study Guide for Exam FM is more than just a study manual. It is a textbook covering all of the essentials you will need to pass the Society of Actuaries' Exam FM. It covers: the theory of interest annuities and other structured cash flows loans and bonds financial derivatives, including futures, swaps, and options asset-liability management Financial Mathematics includes 150 problems and solutions, helpful hints and exam tips, and a challenging, realistic practice exam, so that you can be confident that you have mastered the syllabus. Financial Mathematics will be the foundation of your actuarial exam success. Don't wait, get it today! |
| financial mathematics for actuaries: Market-Consistent Actuarial Valuation Mario V. Wüthrich, Hans Bühlmann, Hansjörg Furrer, 2010-09-02 It is a challenging task to read the balance sheet of an insurance company. This derives from the fact that different positions are often measured by different yardsticks. Assets, for example, are mostly valued at market prices whereas liabilities are often measured by established actuarial methods. However, there is a general agreement that the balance sheet of an insurance company should be measured in a consistent way. Market-Consistent Actuarial Valuation presents powerful methods to measure liabilities and assets in a consistent way. The mathematical framework that leads to market-consistent values for insurance liabilities is explained in detail by the authors. Topics covered are stochastic discounting with deflators, valuation portfolio in life and non-life insurance, probability distortions, asset and liability management, financial risks, insurance technical risks, and solvency. |
| financial mathematics for actuaries: An Introduction to Actuarial Mathematics Arjun K. Gupta, Tamas Varga, 2013-04-17 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
| financial mathematics for actuaries: Mathematics of Finance W. Kathy Tannous, Robert L. Brown, Petr Zima, Steve Kopp, 2013 Zima and Brown continue to identify a generic approach to problem solving with a wide range of interest rates within the problems presented in the text. They also provided the following set of pedagogical and financial tools. This text emphasizes the point that the most important aspect for the student is to be able to visualize the problem. Timeline diagrams help the student to determine how to solve the problem from first principles. They emphasize the use of calculators and Excel spreadsheets (solutions provided where appropriate) in problem-solving techniques, and include Internet-based resources and tools. Exercises for each topic in the text are stratified into fundamental learning exercises in Part A, and more challenging and theoretical problems in Part B. Each chapter closes with the Summary and Review Exercises, and, in many chapters, the Review Exercises include one or more Case Studies presenting more complex real-world problems. |
| financial mathematics for actuaries: Introduction to Insurance Mathematics Annamaria Olivieri, Ermanno Pitacco, 2015-09-30 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. |
| financial mathematics for actuaries: Nonlife Actuarial Models Yiu-Kuen Tse, 2009-09-17 This class-tested undergraduate textbook covers the entire syllabus for Exam C of the Society of Actuaries (SOA). |
| financial mathematics for actuaries: Statistical and Probabilistic Methods in Actuarial Science Philip J. Boland, 2007-03-05 Statistical and Probabilistic Methods in Actuarial Science covers many of the diverse methods in applied probability and statistics for students aspiring to careers in insurance, actuarial science, and finance. The book builds on students' existing knowledge of probability and statistics by establishing a solid and thorough understanding of |
| financial mathematics for actuaries: Introductory Stochastic Analysis for Finance and Insurance X. Sheldon Lin, Society of Actuaries, 2006-04-21 Incorporates the many tools needed for modeling and pricing infinance and insurance Introductory Stochastic Analysis for Finance and Insuranceintroduces readers to the topics needed to master and use basicstochastic analysis techniques for mathematical finance. The authorpresents the theories of stochastic processes and stochasticcalculus and provides the necessary tools for modeling and pricingin finance and insurance. Practical in focus, the book's emphasisis on application, intuition, and computation, rather thantheory. Consequently, the text is of interest to graduate students,researchers, and practitioners interested in these areas. While thetext is self-contained, an introductory course in probabilitytheory is beneficial to prospective readers. This book evolved from the author's experience as an instructor andhas been thoroughly classroom-tested. Following an introduction,the author sets forth the fundamental information and tools neededby researchers and practitioners working in the financial andinsurance industries: * Overview of Probability Theory * Discrete-Time stochastic processes * Continuous-time stochastic processes * Stochastic calculus: basic topics The final two chapters, Stochastic Calculus: Advanced Topics andApplications in Insurance, are devoted to more advanced topics.Readers learn the Feynman-Kac formula, the Girsanov's theorem, andcomplex barrier hitting times distributions. Finally, readersdiscover how stochastic analysis and principles are applied inpractice through two insurance examples: valuation of equity-linkedannuities under a stochastic interest rate environment andcalculation of reserves for universal life insurance. Throughout the text, figures and tables are used to help simplifycomplex theory and pro-cesses. An extensive bibliography opens upadditional avenues of research to specialized topics. Ideal for upper-level undergraduate and graduate students, thistext is recommended for one-semester courses in stochastic financeand calculus. It is also recommended as a study guide forprofessionals taking Causality Actuarial Society (CAS) and Societyof Actuaries (SOA) actuarial examinations. |
| financial mathematics for actuaries: Modern Actuarial Theory and Practice Philip Booth, Robert Chadburn, Steven Haberman, Dewi James, Zaki Khorasanee, Robert H Plumb, Ben Rickayzen, 2020-12-16 In the years since the publication of the best-selling first edition, the incorporation of ideas and theories from the rapidly growing field of financial economics has precipitated considerable development of thinking in the actuarial profession. Modern Actuarial Theory and Practice, Second Edition integrates those changes and presents an up-to-date, comprehensive overview of UK and international actuarial theory, practice and modeling. It describes all of the traditional areas of actuarial activity, but in a manner that highlights the fundamental principles of actuarial theory and practice as well as their economic, financial, and statistical foundations. |
| financial mathematics for actuaries: Introductory Course On Financial Mathematics Michael Tretyakov, 2013-07-23 This book is an elementary introduction to the basic concepts of financial mathematics with a central focus on discrete models and an aim to demonstrate simple, but widely used, financial derivatives for managing market risks. Only a basic knowledge of probability, real analysis, ordinary differential equations, linear algebra and some common sense are required to understand the concepts considered in this book.Financial mathematics is an application of advanced mathematical and statistical methods to financial management and markets, with a main objective of quantifying and hedging risks. Since the book aims to present the basics of financial mathematics to the reader, only essential elements of probability and stochastic analysis are given to explain ideas concerning derivative pricing and hedging. To keep the reader intrigued and motivated, the book has a ‘sandwich’ structure: probability and stochastics are given in situ where mathematics can be readily illustrated by application to finance.The first part of the book introduces one of the main principles in finance — ‘no arbitrage pricing’. It also introduces main financial instruments such as forward and futures contracts, bonds and swaps, and options. The second part deals with pricing and hedging of European- and American-type options in the discrete-time setting. In addition, the concept of complete and incomplete markets is discussed. Elementary probability is briefly revised and discrete-time discrete-space stochastic processes used in financial modelling are considered. The third part introduces the Wiener process, Ito integrals and stochastic differential equations, but its main focus is the famous Black-Scholes formula for pricing European options. Some guidance for further study within this exciting and rapidly changing field is given in the concluding chapter. There are approximately 100 exercises interspersed throughout the book, and solutions for most problems are provided in the appendices. |
| financial mathematics for actuaries: Modern Actuarial Risk Theory Rob Kaas, Marc Goovaerts, Jan Dhaene, 2008-12-03 Modern Actuarial Risk Theory contains what every actuary needs to know about non-life insurance mathematics. It starts with the standard material like utility theory, individual and collective model and basic ruin theory. Other topics are risk measures and premium principles, bonus-malus systems, ordering of risks and credibility theory. It also contains some chapters about Generalized Linear Models, applied to rating and IBNR problems. As to the level of the mathematics, the book would fit in a bachelors or masters program in quantitative economics or mathematical statistics. This second and. |
| financial mathematics for actuaries: Introduction to Mathematical Portfolio Theory Mark S. Joshi, Jane M. Paterson, 2013-07-11 This concise yet comprehensive guide focuses on the mathematics of portfolio theory without losing sight of the finance. |
| financial mathematics for actuaries: Computational Actuarial Science with R Arthur Charpentier, 2014-08-26 A Hands-On Approach to Understanding and Using Actuarial ModelsComputational Actuarial Science with R provides an introduction to the computational aspects of actuarial science. Using simple R code, the book helps you understand the algorithms involved in actuarial computations. It also covers more advanced topics, such as parallel computing and C/ |
| financial mathematics for actuaries: Financial Mathematics For Actuaries (Third Edition) Wai-sum Chan, Yiu-kuen Tse, 2021-09-14 This book provides a thorough understanding of the fundamental concepts of financial mathematics essential for the evaluation of any financial product and instrument. Mastering concepts of present and future values of streams of cash flows under different interest rate environments is core for actuaries and financial economists. This book covers the body of knowledge required by the Society of Actuaries (SOA) for its Financial Mathematics (FM) Exam.The third edition includes major changes such as an addition of an 'R Laboratory' section in each chapter, except for Chapter 9. These sections provide R codes to do various computations, which will facilitate students to apply conceptual knowledge. Additionally, key definitions have been revised and the theme structure has been altered. Students studying undergraduate courses on financial mathematics for actuaries will find this book useful. This book offers numerous examples and exercises, some of which are adapted from previous SOA FM Exams. It is also useful for students preparing for the actuarial professional exams through self-study. |
| financial mathematics for actuaries: Understanding Actuarial Management Clare Bellis, 2010 |
| financial mathematics for actuaries: Active Value Investing Vitaliy N. Katsenelson, 2012-06-15 A strategy to profit when markets are range bound–which is half of the time One of the most significant challenges facing today’s active investor is how to make money during the times when markets are going nowhere. Bookshelves are groaning under the weight of titles written on investment strategy in bull markets, but there is little guidance on how to invest in range bound markets. In this book, author and respected investment portfolio manager Vitaliy Katsenelson makes a convincing case for range-bound market conditions and offers readers a practical strategy for proactive investing that improves profits. This guide provides investors with the know-how to modify the traditional, fundamentally driven strategies that they have become so accustomed to using in bull markets, so that they can work in range bound markets. It offers new approaches to margin of safety and presents terrific insights into buy and sell disciplines, international investing, Quality, Valuation, and Growth framework, and much more. Vitaliy Katsenelson, CFA (Denver, CO) has been involved with the investment industry since 1994. He is a portfolio manager with Investment Management Associates where he co-manages institutional and personal assets utilizing fundamental analysis. Katsenelson is a member of the CFA Institute, has served on the board of CFA Society of Colorado, and is also on the board of Retirement Investment Institute. Vitaliy is an adjunct faculty member at the University of Colorado at Denver - Graduate School of Business. He is also a regular contributor to the Financial Times, The Motley Fool, and Minyanville.com. |
| financial mathematics for actuaries: Money and Mathematics Ralf Korn, Bernd Luderer, 2021-10-26 This book follows a conversational approach in five dozen stories that provide an insight into the colorful world of financial mathematics and financial markets in a relaxed, accessible and entertaining form. The authors present various topics such as returns, real interest rates, present values, arbitrage, replication, options, swaps, the Black-Scholes formula and many more. The readers will learn how to discover, analyze, and deal with the many financial mathematical decisions the daily routine constantly demands. The book covers a wide field in terms of scope and thematic diversity. Numerous stories are inspired by the fields of deterministic financial mathematics, option valuation, portfolio optimization and actuarial mathematics. The book also contains a collection of basic concepts and formulas of financial mathematics and of probability theory. Thus, also readers new to the subject will be provided with all the necessary information to verify the calculations. |
| financial mathematics for actuaries: My Life as a Quant Emanuel Derman, 2016-01-11 In My Life as a Quant, Emanuel Derman relives his exciting journey as one of the first high-energy particle physicists to migrate to Wall Street. Page by page, Derman details his adventures in this field—analyzing the incompatible personas of traders and quants, and discussing the dissimilar nature of knowledge in physics and finance. Throughout this tale, he also reflects on the appropriate way to apply the refined methods of physics to the hurly-burly world of markets. |
| financial mathematics for actuaries: Formulae and Tables for Examinations of the Faculty of Actuaries and the Institute of Actuaries , 2002-01-01 |
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