Introduction to Actuarial and Financial Mathematical Methods

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Publisher : Academic Press
ISBN 13 : 0128004916
Total Pages : 622 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Introduction to Actuarial and Financial Mathematical Methods by : Stephen Garrett

Download or read book Introduction to Actuarial and Financial Mathematical Methods written by Stephen Garrett and published by Academic Press. This book was released on 2015-05-02 with total page 622 pages. Available in PDF, EPUB and Kindle. Book 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

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.

Actuarial Finance

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Publisher : John Wiley & Sons
ISBN 13 : 1119137012
Total Pages : 592 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Actuarial Finance by : Mathieu Boudreault

Download or read book Actuarial Finance written by Mathieu Boudreault and published by John Wiley & Sons. This book was released on 2019-03-22 with total page 592 pages. Available in PDF, EPUB and Kindle. Book 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 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.

An Introduction to Actuarial Mathematics

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Author :
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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Financial Mathematics For Actuaries (Third Edition)

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Publisher : World Scientific
ISBN 13 : 9811243298
Total Pages : 366 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Financial Mathematics For Actuaries (Third Edition) by : Wai-sum Chan

Download or read book Financial Mathematics For Actuaries (Third Edition) written by Wai-sum Chan and published by World Scientific. This book was released on 2021-09-14 with total page 366 pages. Available in PDF, EPUB and Kindle. Book 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.

Financial and Actuarial Statistics

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Publisher : CRC Press
ISBN 13 : 0203911245
Total Pages : 392 pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis Financial and Actuarial Statistics by : Dale S. Borowiak

Download or read book Financial and Actuarial Statistics written by Dale S. Borowiak and published by CRC Press. This book was released on 2013-11-12 with total page 392 pages. Available in PDF, EPUB and Kindle. Book 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

Statistical and Probabilistic Methods in Actuarial Science

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Publisher : CRC Press
ISBN 13 : 158488696X
Total Pages : 368 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Statistical and Probabilistic Methods in Actuarial Science by : Philip J. Boland

Download or read book Statistical and Probabilistic Methods in Actuarial Science written by Philip J. Boland and published by CRC Press. This book was released on 2007-03-05 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Introduction to Quantitative Methods for Financial Markets

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Publisher : Springer Science & Business Media
ISBN 13 : 3034805195
Total Pages : 190 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Introduction to Quantitative Methods for Financial Markets by : Hansjoerg Albrecher

Download or read book Introduction to Quantitative Methods for Financial Markets written by Hansjoerg Albrecher and published by Springer Science & Business Media. This book was released on 2013-06-28 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Swaps, futures, options, structured instruments - a wide range of derivative products is traded in today's financial markets. Analyzing, pricing and managing such products often requires fairly sophisticated quantitative tools and methods. This book serves as an introduction to financial mathematics with special emphasis on aspects relevant in practice. In addition to numerous illustrative examples, algorithmic implementations are demonstrated using "Mathematica" and the software package "UnRisk" (available for both students and teachers). The content is organized in 15 chapters that can be treated as independent modules. In particular, the exposition is tailored for classroom use in a Bachelor or Master program course, as well as for practitioners who wish to further strengthen their quantitative background.

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

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Publisher : American Mathematical Soc.
ISBN 13 : 0821800965
Total Pages : 143 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Actuarial Mathematics by : Harry H. Panjer

Download or read book Actuarial Mathematics written by Harry H. Panjer and published by American Mathematical Soc.. This book was released on 1986 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Risk and Financial Management

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Publisher : John Wiley & Sons
ISBN 13 : 9780470849088
Total Pages : 364 pages
Book Rating : 4.8/5 (49 download)

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Book Synopsis Risk and Financial Management by : Charles S. Tapiero

Download or read book Risk and Financial Management written by Charles S. Tapiero and published by John Wiley & Sons. This book was released on 2004-04-23 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial risk management has become a popular practice amongst financial institutions to protect against the adverse effects of uncertainty caused by fluctuations in interest rates, exchange rates, commodity prices, and equity prices. New financial instruments and mathematical techniques are continuously developed and introduced in financial practice. These techniques are being used by an increasing number of firms, traders and financial risk managers across various industries. Risk and Financial Management: Mathematical and Computational Methods confronts the many issues and controversies, and explains the fundamental concepts that underpin financial risk management. Provides a comprehensive introduction to the core topics of risk and financial management. Adopts a pragmatic approach, focused on computational, rather than just theoretical, methods. Bridges the gap between theory and practice in financial risk management Includes coverage of utility theory, probability, options and derivatives, stochastic volatility and value at risk. Suitable for students of risk, mathematical finance, and financial risk management, and finance practitioners. Includes extensive reference lists, applications and suggestions for further reading. Risk and Financial Management: Mathematical and Computational Methods is ideally suited to both students of mathematical finance with little background in economics and finance, and students of financial risk management, as well as finance practitioners requiring a clearer understanding of the mathematical and computational methods they use every day. It combines the required level of rigor, to support the theoretical developments, with a practical flavour through many examples and applications.

Introduction to Financial Mathematics

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Publisher : CRC Press
ISBN 13 : 9781032262369
Total Pages : 0 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Introduction to Financial Mathematics by : Kevin J. Hastings

Download or read book Introduction to Financial Mathematics written by Kevin J. Hastings and published by CRC Press. This book was released on 2024-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this successful and widely recognized textbook again focuses on discrete topics. The author recognizes two distinct paths of study and careers of actuarial science and financial engineering. This text can be very useful as a common core for both. Therefore, there is substantial material on the theory of interest (the first half of the book), as well as the probabilistic background necessary for the study of portfolio optimization and derivative valuation (the second half). The material in the first two chapters should go a long way toward helping students prepare for the Financial Mathematics (FM) actuarial exam. Also, the discrete material will reveal how beneficial it is to know more about loans in student's personal financial lives. The notable changes and updates to this edition are itemized in the Preface, however, overall, the presentation has been made more efficient. One example is the chapter on discrete probability, rather unique in its emphasis on giving the deterministic problems studied earlier a probabilistic context. Probably is now a subsection on Markov chains. Sample spaces and probability measures, random variables and distributions, expectation, conditional probability, independence, and estimation all follow. Optimal portfolio selection coverage is reorganized and the section on the practicalities of stock transactions has been revised. Market portfolio, and Capital Market Theory coverage is expanded. This book, like the first edition, was written so that the print edition could stand alone. At times we simplify complicated algebraic expressions, or solve systems of linear equations, or numerically solve non-linear equations. Also, some attention is given to the use of computer simulation to approximate solutions to problems. A course in multivariable calculus is not required. The entire text is available digitally from the publisher in the form of a series of Mathematica notebooks, which can be loaded into Mathematica, and which include complete executable commands and programs, and some additional material.

Financial Mathematics

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Publisher : CRC Press
ISBN 13 : 0429889100
Total Pages : 511 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Financial Mathematics by : Giuseppe Campolieti

Download or read book Financial Mathematics written by Giuseppe Campolieti and published by CRC Press. This book was released on 2022-12-21 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has been tested and refined through years of classroom teaching experience. 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. This textbook provides complete coverage of continuous-time financial models that form the cornerstones of financial derivative pricing theory. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. Key features: In-depth coverage of continuous-time theory and methodology Numerous, fully worked out examples and exercises in every chapter Mathematically rigorous and consistent, yet bridging various basic and more advanced concepts Judicious balance of financial theory and mathematical methods Guide to Material This revision contains: Almost 150 pages worth of new material in all chapters A appendix on probability theory An expanded set of solved problems and additional exercises Answers to all exercises This book is a comprehensive, self-contained, and unified treatment of the main theory and application of mathematical methods behind modern-day financial mathematics. The text complements Financial Mathematics: A Comprehensive Treatment in Discrete Time, by the same authors, also published by CRC Press.

Financial Mathematics

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Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Financial Mathematics by : Chris Ruckman

Download or read book Financial Mathematics written by Chris Ruckman and published by . This book was released on 2005 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Market-Consistent Actuarial Valuation

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Publisher : Springer Science & Business Media
ISBN 13 : 3642148522
Total Pages : 164 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Market-Consistent Actuarial Valuation by : Mario V. Wüthrich

Download or read book Market-Consistent Actuarial Valuation written by Mario V. Wüthrich and published by Springer Science & Business Media. This book was released on 2010-09-02 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to the Mathematics of Finance

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Publisher : Butterworth-Heinemann
ISBN 13 : 0080982751
Total Pages : 465 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis An Introduction to the Mathematics of Finance by : Stephen Garrett

Download or read book An Introduction to the Mathematics of Finance written by Stephen Garrett and published by Butterworth-Heinemann. This book was released on 2013-05-28 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Quantitative Finance

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Publisher : CRC Press
ISBN 13 : 1439871698
Total Pages : 523 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Quantitative Finance by : Matt Davison

Download or read book Quantitative Finance written by Matt Davison and published by CRC Press. This book was released on 2014-05-08 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teach Your Students How to Become Successful Working Quants Quantitative Finance: A Simulation-Based Introduction Using Excel provides an introduction to financial mathematics for students in applied mathematics, financial engineering, actuarial science, and business administration. The text not only enables students to practice with the basic techniques of financial mathematics, but it also helps them gain significant intuition about what the techniques mean, how they work, and what happens when they stop working. After introducing risk, return, decision making under uncertainty, and traditional discounted cash flow project analysis, the book covers mortgages, bonds, and annuities using a blend of Excel simulation and difference equation or algebraic formalism. It then looks at how interest rate markets work and how to model bond prices before addressing mean variance portfolio optimization, the capital asset pricing model, options, and value at risk (VaR). The author next focuses on binomial model tools for pricing options and the analysis of discrete random walks. He also introduces stochastic calculus in a nonrigorous way and explains how to simulate geometric Brownian motion. The text proceeds to thoroughly discuss options pricing, mostly in continuous time. It concludes with chapters on stochastic models of the yield curve and incomplete markets using simple discrete models. Accessible to students with a relatively modest level of mathematical background, this book will guide your students in becoming successful quants. It uses both hand calculations and Excel spreadsheets to analyze plenty of examples from simple bond portfolios. The spreadsheets are available on the book’s CRC Press web page.