Introduction to Actuarial and Financial Mathematical Methods Book

Introduction to Actuarial and Financial Mathematical Methods


  • Author : Stephen Garrett
  • Publisher : Academic Press
  • Release Date : 2015-05-02
  • Genre: Business & Economics
  • Pages : 624
  • ISBN 10 : 9780128004913

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Introduction to Actuarial and Financial Mathematical Methods Excerpt :

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

Actuarial Finance Book

Actuarial Finance


  • Author : Mathieu Boudreault
  • Publisher : John Wiley & Sons
  • Release Date : 2019-03-22
  • Genre: Mathematics
  • Pages : 592
  • ISBN 10 : 9781119137016

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Actuarial Finance Excerpt :

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

Introduction to Actuarial and Financial Mathematical Methods Book

Introduction to Actuarial and Financial Mathematical Methods


  • Author : Stephen Garrett
  • Publisher : Academic Press
  • Release Date : 2015-04-07
  • Genre: Business & Economics
  • Pages : 624
  • ISBN 10 : 0128001569

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Introduction to Actuarial and Financial Mathematical Methods Excerpt :

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 ofIntroduction to Actuarial and Mathematical Methods features examples, motivations, and lots of practice from a large number of end-of-chapter questions. Questions range from short calculations to large project-based assignments, all designed to promote independent thinking and the application of mathematical ideas. Model solutions are included. The intuitive organization ofIntroduction to Actuarial and Mathematical Methods maximizes its usefulness as a means of self-study and as a reference source. Financial concepts and terminology introduce every mathematical concept and theory. 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

Fundamentals of Actuarial Mathematics Book

Fundamentals of Actuarial Mathematics


  • Author : S. David Promislow
  • Publisher : John Wiley & Sons
  • Release Date : 2011-01-06
  • Genre: Mathematics
  • Pages : 424
  • ISBN 10 : 9780470978078

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Fundamentals of Actuarial Mathematics 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.

Financial and Actuarial Statistics Book

Financial and Actuarial Statistics


  • Author : Dale S. Borowiak
  • Publisher : CRC Press
  • Release Date : 2013-11-12
  • Genre: Business & Economics
  • Pages : 392
  • ISBN 10 : 9780203911242

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Financial and Actuarial Statistics Excerpt :

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

An Introduction to the Mathematics of Finance Book

An Introduction to the Mathematics of Finance


  • Author : Stephen Garrett
  • Publisher : Butterworth-Heinemann
  • Release Date : 2013-05-28
  • Genre: Mathematics
  • Pages : 464
  • ISBN 10 : 9780080982755

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An Introduction to the Mathematics of Finance Excerpt :

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

Financial Mathematics Book

Financial Mathematics


  • Author : Giuseppe Campolieti
  • Publisher : CRC Press
  • Release Date : 2014-03-12
  • Genre: Business & Economics
  • Pages : 826
  • ISBN 10 : 9781439892435

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Financial Mathematics Excerpt :

Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of the authors’ teaching experiences, the book encompasses a breadth of topics, from introductory to more advanced ones. Accessible to undergraduate students in mathematics, finance, actuarial science, economics, and related quantitative areas, much of the text covers essential material for core curriculum courses on financial mathematics. Some of the more advanced topics, such as formal derivative pricing theory, stochastic calculus, Monte Carlo simulation, and numerical methods, can be used in courses at the graduate level. Researchers and practitioners in quantitative finance will also benefit from the combination of analytical and numerical methods for solving various derivative pricing problems. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. The book provides complete coverage of both discrete- and continuous-time financial models that form the cornerstones of financial derivative pricing theory. It also presents a self-contained introduction to stochastic calculus and martingale theory, which are key fundamental elements in quantitative finance.

An Introduction to Actuarial Mathematics Book

An Introduction to Actuarial Mathematics


  • Author : Arjun K. Gupta
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-04-17
  • Genre: Business & Economics
  • Pages : 350
  • ISBN 10 : 9789401707114

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An Introduction to Actuarial Mathematics 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. . . . . . .

Financial Mathematics For Actuaries  Third Edition  Book

Financial Mathematics For Actuaries Third Edition


  • Author : Wai-sum Chan
  • Publisher : World Scientific
  • Release Date : 2021-09-14
  • Genre: Business & Economics
  • Pages : 368
  • ISBN 10 : 9789811243295

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Financial Mathematics For Actuaries Third Edition Excerpt :

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.

Solutions Manual for Actuarial Mathematics for Life Contingent Risks Book

Solutions Manual for Actuarial Mathematics for Life Contingent Risks


  • Author : David C. M. Dickson
  • Publisher : Cambridge University Press
  • Release Date : 2013-08-12
  • Genre: Business & Economics
  • Pages : 230
  • ISBN 10 : 9781107620261

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Solutions Manual for Actuarial Mathematics for Life Contingent Risks Excerpt :

This must-have manual provides detailed solutions to all of the 200+ exercises in Dickson, Hardy and Waters' Actuarial Mathematics for Life Contingent Risks, Second Edition. This groundbreaking text on the modern mathematics of life insurance is required reading for the Society of Actuaries' Exam MLC and also provides a solid preparation for the life contingencies material of the UK actuarial profession's exam CT5. Beyond the professional examinations, the textbook and solutions manual offer readers the opportunity to develop insight and understanding, and also offer practical advice for solving problems using straightforward, intuitive numerical methods. Companion spreadsheets illustrating these techniques are available for free download.

Backward Stochastic Differential Equations with Jumps and Their Actuarial and Financial Applications Book

Backward Stochastic Differential Equations with Jumps and Their Actuarial and Financial Applications


  • Author : Łukasz Delong
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-12
  • Genre: Mathematics
  • Pages : 288
  • ISBN 10 : 9781447153313

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Backward Stochastic Differential Equations with Jumps and Their Actuarial and Financial Applications Excerpt :

Backward stochastic differential equations with jumps can be used to solve problems in both finance and insurance. Part I of this book presents the theory of BSDEs with Lipschitz generators driven by a Brownian motion and a compensated random measure, with an emphasis on those generated by step processes and Lévy processes. It discusses key results and techniques (including numerical algorithms) for BSDEs with jumps and studies filtration-consistent nonlinear expectations and g-expectations. Part I also focuses on the mathematical tools and proofs which are crucial for understanding the theory. Part II investigates actuarial and financial applications of BSDEs with jumps. It considers a general financial and insurance model and deals with pricing and hedging of insurance equity-linked claims and asset-liability management problems. It additionally investigates perfect hedging, superhedging, quadratic optimization, utility maximization, indifference pricing, ambiguity risk minimization, no-good-deal pricing and dynamic risk measures. Part III presents some other useful classes of BSDEs and their applications. This book will make BSDEs more accessible to those who are interested in applying these equations to actuarial and financial problems. It will be beneficial to students and researchers in mathematical finance, risk measures, portfolio optimization as well as actuarial practitioners.

Introduction to Insurance Mathematics Book

Introduction to Insurance Mathematics


  • Author : Annamaria Olivieri
  • Publisher : Springer
  • Release Date : 2015-09-30
  • Genre: Mathematics
  • Pages : 508
  • ISBN 10 : 9783319213774

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Introduction to Insurance Mathematics 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.

An Introduction to Excel VBA Programming Book

An Introduction to Excel VBA Programming


  • Author : Guojun Gan
  • Publisher : CRC Press
  • Release Date : 2017-05-08
  • Genre: Business & Economics
  • Pages : 284
  • ISBN 10 : 9781315280684

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An Introduction to Excel VBA Programming Excerpt :

Excel Visual Basic for Applications (VBA) can be used to automate operations in Excel and is one of the most frequently used software programs for manipulating data and building models in banks and insurance companies. An Introduction to Excel VBA Programming: with Applications in Finance and Insurance introduces readers to the basic fundamentals of VBA Programming while demonstrating applications of VBA to solve real-world problems in finance and insurance. Assuming no prior programming experience and with reproducible examples using code and data, this text is suitable for advanced undergraduate students, graduate students, actuaries, and financial analysts who wish to learn VBA. Features: Presents the theory behind the algorithms in detail Includes more than 100 exercises with selected solutions Provides VBA code in Excel files and data to reproduce the results in the book Offers a solutions manual for qualified instructors

Actuarial Science Book

Actuarial Science


  • Author : Hanji Shang
  • Publisher : World Scientific
  • Release Date : 2006
  • Genre: Business & Economics
  • Pages : 282
  • ISBN 10 : 9789812774668

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Actuarial Science Excerpt :

This edition of the private and scientific correspondence of Sir Rudolf Peierls gives a unique insight into the life and work of one of the greatest theoretical physicists of the 20th century. Rudolf Peierls' scientific work contributed to the early developments in quantum mechanics, and he is well known and much appreciated for his contributions to various disciplines, including solid state physics, nuclear physics, and particle physics. As an enthusiastic and devoted teacher, he passed on his knowledge and understanding and inspired the work of collaborators and students alike. As an effective administrator he was responsible, almost single-handedly, for the establishment of an outstanding successful centre of theoretical physics in Birmingham, and later contributed much to theoretical physics in Oxford. A meticulous collector of correspondence, Sir Rudolf left a fascinating collection of letters, in some cases spanning more than seven decades. This collection includes correspondence with his parents, his wife, the Russian-born physicist Genia Kannegieser, life-long friends such as Hans Bethe, and many great physicists, including Wolfgang Pauli, Niels Bohr, Werner Heisenberg, Lev Landau, and George Placzek, to name but a few. This first volume, which covers the years 1922 to 1945, contains much of the early family correspondence, letters exchanged between Rudolf and Genia Peierls before and after their marriage in 1931, correspondence relating to early developments in quantum physics, and interesting material relating to the development of nuclear weapons. The extensive apparatus provides an invaluable background which allows the reader to put the presented documents into their multi-faceted social, political and scientific context.

Introduction to Mathematical Portfolio Theory Book

Introduction to Mathematical Portfolio Theory


  • Author : Mark S. Joshi
  • Publisher : Cambridge University Press
  • Release Date : 2013-07-11
  • Genre: Business & Economics
  • Pages : 327
  • ISBN 10 : 9781107042315

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Introduction to Mathematical Portfolio Theory Excerpt :

This concise yet comprehensive guide focuses on the mathematics of portfolio theory without losing sight of the finance.