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Actuarial Reference Library and electronic database at the Centre

for students, researchers and practitioners.

 

One of the main activities of the Centre is a creation of actuarial library and electronic database of actuarial references, which will serve students, researchers and practitioners in their further actuarial education and/or research in Ukraine.

At present the Centre holds enough actuarial educational materials (UK IoA Core Readings) for 100 series subjects of the UK Institute of Actuaries. Some textbooks have already been granted by the UK Institute of Actuaries, Casualty Actuarial Society (USA), Institute of Actuaries of Australia, Katholieke Universiteit Leuven (Belgium) and Swedish Actuarial Society. But there is still a number of outstanding books/textbooks that are extremely important in actuarial education and therefore the Centre would really appreciate very much any donations/contributions from organisations and individuals to fulfil its library.

It should be noticed that our Actuarial Reference Library is open to the public, however according to the International Copyright Law all of its items must be considered as reference ones that can not be borrowed or entirely copied.

 

The Centre also plans to create an electronic database of journals of actuarial science, insurance and finance.

 

Below you can find the complete list of all recommended books/texts for 100 series subjects of the UK Institute of Actuaries. Some of them are available at the Centre. The brief description of each book from this list is provided. In the list of literature provided below the candidates may find a number of textbooks recommended also by the US SOA/CAS.

All Core Readings for 100 series subjects have been granted by the UK Institute of Actuaries.

        

 

SUBJECT 101: STATISTICAL MODELING

SUBJECT 102: FINANCIAL MATHEMATICS

SUBJECT 103: STOCHASTIC MODELLING

SUBJECT 104: SURVIVAL MODELS

SUBJECT 105: ACTUARIAL MATHEMATICS 1 (LIFE INSURANCE)

SUBJECT 106: ACTUARIAL MATHEMATICS 2 (NON-LIFE INSURANCE)

SUBJECT 107: ECONOMICS

SUBJECT 108: FINANCE AND FINANCIAL REPORTING

SUBJECT 109: FINANCIAL ECONOMICS

 

ADDITIONAL LITERATURE ON FINANCIAL AND ACTUARIAL MATHEMATICS,

INSURANCE AND ECONOMICS FOR RESEARCHERS

 

 

 

 

SUBJECT 101: STATISTICAL MODELING

 

 

Freund, John E., Mathematical statistics. - 6th ed. - Prentice Hall International, 1999, 624 pages. - ISBN 0139741550

 

Textbook in probability and statistics for mathematically inclined undergraduates and first-year graduate students. It presents the theory behind applied statistics, with emphasis on one-sample and two-sample models, regression, analysis of variance, and multinomial models.

The UK Institute of Actuaries Core Reading for subject 101 Stochastic Modelling is based on this textbook.

 

 
 

 

 

 

 

 

 

 

 

 

Rice, John, Mathematical Statistics and Data Analysis. – Duxbury Press 1995, ISBN 0534209343

 

This is the first text in a generation to re-examine the purpose of the mathematical statistics course. The book's approach interweaves traditional topics with data analysis and reflects the use of the computer with close ties to the practice of statistics. The author stresses analysis of data, examines real problems with real data, and motivates the theory.

This textbook is highly recommended for intermediate students in statistics.

 

 
 

 

 

 

 

 

 

 

 

 

Casella, G. and Berger, R., Statistical Inference. Duxbury Press 2002,    ISBN 0534243126

 

Intended for first-year graduate students specializing in statistics, this textbook seeks to build theoretical statistics from the first principles of probability theory. It covers the basics of probability theory and details major statistical principles, including sufficiency, likelihood, and invariance. It then outlines the methods of inference, estimation, and hypothesis testing. Special topics like asymptotic evaluations, analysis of variance and regression, and regression models are also discussed.

 

 
 

 

 

 

 

 

 

 

 

 

 


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SUBJECT 102: FINANCIAL MATHEMATICS

 

McCutcheon, John J. and Scott, William F., An introduction to the mathematics of finance. Butterworth-Heinemann, 2002, ISBN 0750600926

 

This book develops the classical theory of compound interest (in which the force of interest is constant) as a special case of a more general model. It also discusses applications of the theory to the capital redemption policies, the valuation of stock market securities, consumer credit calculations, and provides simple introductions to stochastic interest rate models. The UK Institute of Actuaries Core Reading for subject 101 Financial Mathematics is completely based on this textbook.

 

 
 

 

 

 

 

 

 

 

 

 

S. Broverman, Mathematics of Investment and Credit, 2nd Edition, ACTEX, 1996, ISBN 1566982189

This text is a thorough treatment of the theory of interest, and its application to a wide variety of financial instruments. It emphasizes a direct-calculation approach to reaching numerical results, and uses a gentle, thorough pedagogic approach. Major features of the text include a full chapter on stochastic interest rate models, including real-world applications of theory, a large number of worked examples, and end-of-chapter exercises. Students will find this text to be valuable supplementary reading in preparing for the Course 2 Examination of the Society of Actuaries.

 

 
 

 

 

 

 

 

 

 

 

 

S. Broverman, Mathematics of Investment and Credit Solutions Manual 2nd edition, ACTEX, 1996, ISBN 1566982197

 

 

 

This is Solutions Manual for the textbook Mathematics of Investment

 

 
 

 

 

 

 

 

 

 

 

 

M. Sherris, Money and Capital Markets: Pricing, Yields and Analysis, 2nd Edition, Allen & Unwin, 1996, ISBN 1864481595

 

 

This textbook provides the most up-to-date, practical coverage of the pricing and analysis of financial instruments and transactions available for Australian and international capital markets. It is essential reading for tertiary students of finance, accounting and actuarial studies.

 
 

 

 

 

 

 

 

 

 

 

 


                                   

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SUBJECT 103: STOCHASTIC MODELLING

 

Brzezniak, Zdzislaw and Zastawniak, Tomasz, Basic stochastic processes: A course through exercises. Springer, 1998, ISBN 3540761756

 

This book is a final year undergraduate text on stochastic processes, a tool used widely by statisticians and researchers working in the mathematics of finance. The book will give a detailed treatment of conditional expectation and probability, a topic which in principle belongs to probability theory, but is essential as a tool for stochastic processes. The author has concentrated on the major topics within stochastic analysis: Stochastic Processes, Markov Chains, Spectral Theory, Renewal Theory, Martingales and Itτ Stochastic Processes.

 

 
 

 

 

 

 

 

 

 

 

 

Grimmett, Geoffrey and Stirzaker, David, Probability and random processes. 3rd ed. Oxford University Press, 2001, ISBN 0198572220

 

It discusses a wide range of random processes in some depth with many examples, and gives the beginner some flavour of more advanced work, by suitable choice of material. The book begins with basic material commonly covered in first-year undergraduate mathematics and statistics courses, and finishes with topics found in graduate courses.

 

 

 
 

 

 

 

 

 

 

 

 

 

Grimmett, Geoffrey and Stirzaker, David, One thousand exercises in Probability. 2nd ed. Oxford University Press 2001, ISBN 0198572212

 

 

The companion volume Probability and Random Processes: Problems and Solutions includes complete worked solutions to all exercises and problems of this edition.

 

 

 
 

 

 

 

 

 

 

 

 

Norris, Markov Chains. Cambridge Uni Press 1997 ISBN 0521633966 

 

In this rigorous account the author studies both discrete-time and continuous-time chains. A distinguishing feature is an introduction to more advanced topics such as martingales and potentials, in the established context of Markov chains. There are applications to simulation, economics, optimal control, genetics, queues and many other topics, and a careful selection of exercises and examples drawn both from theory and practice. This is an ideal text for seminars on random processes or for those that are more oriented towards applications, for advanced undergraduates or graduate students with some background in basic probability theory.

 

 

Peter J. Brockwell, Richard A. Davis, P. J. Rockwell Introduction to Time Series and Forecasting. Springer Verlag, 2002 ISBN 0387953515

 

This is an introduction to time series that emphasizes methods and analysis of data sets. The logic and tools of model-building for stationary and non-stationary time series are developed and numerous exercises, many of which make use of the included computer package, provide the reader with ample opportunity to develop skills. Statisticians and students will learn the latest methods in time series and forecasting, along with modern computational models and algorithms.

 

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

James D. Hamilton, Time Series Analysis. Princeton Univ Pr; 1994 ISBN: 0691042896

 

James Hamilton provides the first adequate text-book treatments of important innovations such as vector autoregressions, generalized method of moments, the economic and statistical consequences of unit roots, time-varying variances, and nonlinear time series models. Time Series Analysis fills an important need for a textbook that integrates economic theory, econometrics, and new results.

 

 
 

 

 

 

 

 

 

 

 


                                                                                                                                                                                                                                   

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SUBJECT 104: SURVIVAL MODELS

 

Dick London, Survival Models and Their Estimation, 3rd Edition, ACTEX, 1997 ISBN 1566982685

 

 

This text gives a general description of the properties and characteristics of survival models and statistical procedures for estimating such models from sample data. Several approaches and applications are considered, including those of actuarial science, clinical survival studies, epidemiology and reliability engineering.
The text includes numerous examples and exercises and an extensive bibliography for further research and study.

 

 

 
 

 

 

 

 

 

 

 

 

 

Dick London, Survival Models and Their Estimation Manual, 3rd Edition, ACTEX, 1997  ISBN 1566982928

 

 

This is Solutions Manual for the textbook Survival Models and Their Estimation

 

 

 
 

 

 

 

 

 

 

 

 

 

Klein J. and Moeschberger M., Survival Analysis: techniques for censored and truncated data. Springer, 1997 ISBN 038795399X

 

 

Applied statisticians in many fields frequently analyse time-to-event data. While the statistical tools presented in this book are applicable to data from medicine, biology, public health, epidemiology, engineering, economics and demography, the focus here is on applications of the techniques to biology and medicine.

 

 
 

 

 

 

 

 

 

 

 

 

 


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SUBJECT 105: ACTUARIAL MATHEMATICS 1 (Life Insurance)

 

Bowers, Newton L. et al., Actuarial mathematics – 2nd ed. Society of Actuaries, 1997 ISBN 0938959468

 

 

The second edition of this foundational book for the actuarial science
profession is well suited to self-study. Highly readable and illustrated
lavishly with charts, graphs and tables, this text also contains exercises to further clarify key concepts.

 

 

 
 

 

 

 

 

 

 

 

 

 

Gerber, H. U., Life insurance mathematics – 3rd ed. Springer. Swiss Association of Actuaries, 1997 ISBN 354062242X.

 

 

The book introduces the model of life contingencies (the theory behind actuarial work in life insurance and pension funds) as well as the theory of compound interest, the numerical evaluation of the distribution of aggregate claims, and the statistical problem of estimating death rates and other probabilities of decrement from observations.

 

 

 
 

 

 

 

 

 

 

 

 

 

F. Etienne De Vylder, Florent De Vylder, F. Etienne de Vylder, Life Insurance Theory - Kluwer Academic Publishers, 1997

ISBN: 0792399951

 

The stochastic model, introduced by Professor De Vylder more than twenty years ago and now widely adopted, is used throughout the monograph. Beyond the classical material of life insurance mathematics, the emphasis lies on variance evaluations of mathematical reserves, allowing the estimation of long term ruin probabilities in life insurance portfolios with varying volume.

 

 

 
 

 

 

 

 

 

 

 

 

Haberman, S. and Pitacco, E., Actuarial models for disability insurance - Chapman & Hall, 1999 ISBN: 0849303893

 

Actuarial Models for Disability Insurance deals with the actuarial structure of disability insurance, long-term care insurance, and critical illness cover. Actuarial Models for Disability Insurance is an invaluable reference source for academics in the fields of actuarial science and insurance economics, and for professional actuaries in insurance companies, consultancy firms, and those operating in the areas of training and continuing professional development.

 

 

 

Booth, P. M et al., Modern actuarial theory and practice - Chapman & Hall, 1999 ISBN: 0849303885

 

Modern Actuarial Theory and Practice describes the traditional areas of actuarial activity with an emphasis on the fundamental principles, as well as the economic, financial, and statistical foundations of actuarial theory and practice. Information is presented in five interconnected sections: Investment, Life Insurance, General Insurance, Pensions, Actuarial Models which can be read separately or taken as part of the integrated whole.

 

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


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SUBJECT 106: ACTUARIAL MATHEMATICS 2 (Non-life insurance)

 

R. Kaas Marc Goovaerts, Jan Dhaene, Michel Denuit, Modern actuarial risk theory. Kluwer Academic Publishers, 2001 ISBN 0792376366

 

Modern Actuarial Risk Theory contains important material on topics that are relevant for recent insurance and actuarial developments including determining solvency measures, fair-value computations, reserving, ranking of risks, modelling dependencies and the use of generalized linear models.

 

Author Prof Jan Dhaene granted this book to the Centre.

 

 
 

 

 

 

 

 

 

 

 

 

Bowers, Newton L. et al., Actuarial mathematics – 2nd ed. Society of Actuaries, 1997 ISBN 0938959468

 

The second edition of this foundational book for the actuarial science
profession is well suited to self-study. Highly readable and illustrated
lavishly with charts, graphs and tables, this text also contains exercises to further clarify key concepts.

 

 

 
 

 

 

 

 

 

 

 

 

 

Klugman, S. A et al., Loss Models: from Data to Decisions - John Wiley, 1998 ISBN: 0471238848

Loss Models: From Data to Decisions is organized around the principle that actuaries build models in order to analyze risks and make decisions about managing the risks based on conclusions drawn from the analysis. In practice, one begins with data and ends with a business decision. It begins with a framework for model building and a description of frequency and severity loss data typically available to actuaries.

 

 

Klugman, S. A et al., Loss models, Student Solutions Manual: from data to decisions - John Wiley, 1998 ISBN: 0471238856

 

Much of actuarial science consists of constructing and analyzing mathematical models that describe how fluids flow into and out of an insurance system. This book examines contemporary topics such as risk theory and economics, credibility and stochastic processes with a focus on the loss process, or the outflow of cash due to the payment of benefits.

 

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Jan Grandell, Aspects of Risk Theory - Springer Verlag, 1991 ISBN: 0387973680

 

Risk theory, which deals with stochastic models of an insurance business, is a classical application of probability theory. The fundamental problem in risk theory is to investigate the ruin possibility of the risk business. This book is a treatise of risk theory with emphasis on models where the occurrence of the claims is described by more general point processes than the Poisson process, such as renewal processes, Cox processes and general stationary point processes.

 

 

 
 

 

 

 

 

 

 

 

 

Daykin, C. D; Pentikainen, T.; Pesonen, M., Practical risk theory for actuaries – Chapman & Hall, 1994 ISBN: 0412428504

 

 

 

"Practical Risk Theory" is designed to be a textbook for practising actuaries and student actuaries on the practical aspects of stochastic modelling of the insurance business. The main focus of the book is on general insurance (property/casualty insurance) but there are also chapters in life insurance and pensions.

 

 

 
 

 

 

 

 

 

 

 

 

 

 

Written by a select group of industry experts, Foundations of Casualty Actuarial Science covers ratemaking, reserving, investment income, reinsurance pricing, and other important topics in a clear and well-illustrated manner. Its thorough explanations and discussions of the fundamentals of casualty actuarial concepts and practices have made it a vital resource for casualty actuaries and candidates, college and university students, as well as insurance and general business professionals.

 

The Casualty Actuarial Society granted this book to the Centre.

 

 

 
 

 

 

 

 

 

 

 

 

 

 


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SUBJECT 107: ECONOMICS

 

Andreu Mas-Colell, Michael D. Whinston, Jerry R. Green, Microeconomic Theory, Oxford University Press; (June 1995)  ISBN 0195073401

 

Many instructors of microeconomic theory have been waiting for a text that provides balanced and in-depth analysis of the essentials of microeconomics. Masterfully combining the results of years of teaching microeconomics at Harvard University, Andreu Mas-Colell, Michael Whinston, and Jerry Green have filled that conspicuous vacancy with their groundbreaking text, Microeconomic Theory.

 

 

 
 

 

 

 

 

 

 

 

 

 

Hal Varian, Microeconomic analysis, W.W. Norton & Company; 3rd edition (March 1992), ISBN 0393957357

 

 

Microeconomic Analysis has been a fixture of graduate programs in economics for fifteen years. It has held this position because it has the authority, the clarity, and the breadth necessary for a classic text. This new Third Edition continues to supply the building blocks of microeconomic analysis: a thorough treatment of optimization and equilibrium methods, coupled with numerous examples of their application.

 

 

 
 

 

 

 

 

 

 

 

 

Hal Varian, Exercises and Applications for Microeconomic Analysis, W.W. Norton & Company; 3rd edition (August 1993), ISBN 0393957373

 

 

 

It's exiting the approach for the exercises and applications using in the original book

 

 

 

Philip J. Reny, Geoffrey Alexander Jehle, Advanced Microeconomic Theory, Addison-Wesley Publishing; 2nd edition, 2000  ISBN 0321079167

 

 

Provides a lengthy development of set theory, real analysis, topology, calculus, and modern optimization theory. Describes modern consumer and producer theories. Examines the behavior of economic agents when they come together on markets and covers strategic behavior.

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

David Romer, Advanced Macroeconomics - McGraw-Hill/Irwin; 2nd edition, 2000 ISBN: 0072318554

 

 

A series of formal models are used to present and analyze important macroeconomic theories. The theories are supplemented by examples of relevant empirical work, which illustrate the ways that theories can be applied and tested. This well-respected and well-known text is virtually unique in the marketplace.

 

 

 
 

 

 

 

 

 

 

 

 

 

 


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SUBJECT 108: FINANCE AND FINANCIAL REPORTING

 

 

Brigham, Eugene F and Houston, Joel F., Fundamentals of Financial Management. 9th ed. Harcourt Brace, 2000 ISBN 0030314615

 

 

It offers updated discussion of recent events in the stock and bond markets, a reworked section on market efficiency and behavioural finance, and streamlined discussion of the time value of money.

 

 

Brealey, Richard A and Myers, Stewart C., Principles of corporate finance. 6th ed. McGraw-Hill, 1999 ISBN 0077095650

 

 

This is the worldwide leading text on the theory and practice of corporate finance. Throughout the book the authors show how managers use financial theory to solve practical problems and as a way of learning how to respond to change by showing not just how, but why, companies and management act as they do.

 

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Holmes, Geoffrey and Sugden, Alan., Interpreting company reports and accounts. 7th ed. Prentice Hall, 1999 ISBN 027364615X.

 

This book guides the reader through the conventions and complexities of reports and accounts, explaining how to assess the financial and trading position of a company from year to year, how to spot undue risk-taking, where and how to look for clues on the quality of management and how to detect where window-dressing has been used to disguise poor results.

 

 

 
 

 

 

 

 

 

 

 

 

 


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SUBJECT 109: FINANCIAL ECONOMICS

 

Panjer, H. et.al, Financial Economics. SOA, 1998 ISBN: 0938959484

 

This textbook explores key concepts of actuarial economics and discusses their application in financial management. Aimed at actuaries, financial engineers and others with comparable technical skill. This text was written by an international, cross-disciplinary team of writers from various financial and academic fields and is suitable for study at the university level.

 

 

 
 

 

 

 

 

 

 

 

 

 

Alison Etheridge, A Course in Financial Calculus. Cambridge Uni Press 2002 ISBN: 0521890772

 

Finance provides a dramatic example of the successful application of advanced mathematical techniques to the practical problem of pricing financial derivatives. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be applied to realistic financial questions.

 

 

 
 

 

 

 

 

 

 

 

 

Pliska, S., Introduction to Mathematical Finance: Discrete Time Models. Blackwell Publishers; (June 1997) ISBN: 1557869456

 

 

Pliska's book lays out the fundamentals of discrete time models in a clear and concise manner. The book is mostly self contained and well supported with examples that enhance understanding.

 

 

 

Hull John C., Options, futures and other derivatives. 4th ed. Prentice Hall, 2000  ISBN 013 015822 4

 

Topics covered include Determination of Forward and Futures Prices, Interest Rate Markets, Mechanics of Options Markets, and Properties of Stock Options. For individuals who work for banks and other financial institutions, as well as options traders, options analysts, risk managers, swaps traders, financial engineers, and corporate treasurers.

 

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Hans Follmer, Stochastic Finance: An Introduction in Discrete Time, Walter de Gruyter, Inc., 2002 ISBN: 3110171198

 

This book is an introduction to financial mathematics for mathematicians. It is intended both for graduate students with a certain background in probability theory as well as for professional mathematicians in industry and academia. In contrast to many textbooks on mathematical finance, only discrete-time stochastic models are considered.

 

 

Robert C. Merton Continuous Time Finance, Blackwell Publishers, 1992

ISBN: 0631185089

 

Robert C. Merton's widely used text provides an overview and synthesis of finance theory from the perspective of continuous-time analysis. It covers individual financial choice, corporate finance, financial intermediation, capital markets, and selected topics on the interface between private and public finance. For this revised edition a new section on managing university endowments has been added.

 

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Salih Neftci An Introduction to the Mathematics of Financial Derivatives. 2nd ed. Academic Press, 2000 ISBN 0125153929

 

 

 

This book will be a major convenience to derivatives traders, risk managers, and other users and developers of derivatives models. It greatly reduces the cost of entry into the mathematical world of valuation, hedging, and risk measurement for derivatives positions

 

 
 

 

 

 

 

 

 

 

 

 

 

Yuh-Dauh Lyuu Financial Engineering and Computation. Cambridge Uni Press, 2002 ISBN 052178171X

 

It offers a thorough grounding in the subject for MBAs in finance, students of engineering and sciences who are pursuing a career in finance, researchers in computational finance, system analysts, and financial engineers. Along with the theory, the author presents numerous algorithms for pricing, risk management, and portfolio management. The emphasis is on pricing financial and derivative securities: bonds, options, futures, forwards, interest rate derivatives, mortgage-backed securities, bonds with embedded options, and more.

 

 

 
 

 

 

 

 

 

 

 

 

 

Cochrane, J., Asset Pricing. Princeton University Press, 2001 ISBN: 0691074984

Every day, the financial markets bravely price trillions of dollars in such risky securities as stocks, bonds, options, futures, and derivatives. The systematic determination of their values--asset pricing--has developed dramatically in the last few years due to advances in financial theory and econometrics. In one of the most highly anticipated books in financial economics, John Cochrane unifies and brings this science up to date for the benefit of advanced students and professionals.

 

 

 
 

 

 

 

 

 

 

 

 

 


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ADDITIONAL LITERATURE ON FINANCIAL AND ACTUARIAL MATHEMATICS,

INSURANCE AND ECONOMICS FOR RESEARCHERS

 

Ioannis Karatzas, Steven E. Shreve, Brownian Motion and Stochastic Calculus,

Springer 2nd ed., 1997 ISBN 0387976558

 

 

This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed.

 

Georges Dionne, Handbook of Insurance,  Kluwer, 2001  ISBN 079237911X

 

The Handbook of Insurance provides a single reference source on insurance for professors, researchers, graduate students, regulators, consultants, and practitioners, that reviews the research developments in insurance and its related fields that have occurred over the last thirty years. The book starts with the history and foundations of insurance theory and moves on to review asymmetric information, risk management and insurance pricing, and the industrial organization of insurance markets. The book ends with life insurance, pensions, and economic security.

Dr Emil Valdez granted this book to the Centre.

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Durrell Duffie, Dynamic Asset Pricing Theory, 3rd ed., Princeton Univ Pr. 2001  ISBN 069109022X

 

This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality, and equilibrium. Technicalities are given relatively little emphasis, so as to draw connections between these concepts and to make plain the similarities between discrete and continuous-time models.

 
 

 

 

 

 

 

 

 

 

 

Durrell Duffie, Kenneth J. Singleton, Credit Risk: Pricing, Management, and Measurement, Princeton Uni Pr., 2003 ISBN 0691090467

 

 

In this book, two of America's leading economists provide the first integrated treatment of the conceptual, practical, and empirical foundations for credit risk pricing and risk measurement. Masterfully applying theory to practice, Darrell Duffie and Kenneth Singleton model credit risk for the purpose of measuring portfolio risk and pricing defaultable bonds, credit derivatives, and other securities exposed to credit risk.

 

Paul Embrechts, Claudia Kluppelberg, Thomas Mikosch at al., Modelling Extremal Events for Insurance and Finance, Springer, 1997 ISBN 3540609318

 

Both in insurance and in finance applications, questions involving extremal events (such as large insurance claims, large fluctuations in financial data, stock market shocks, risk management) play an increasingly important role. This book sets out to bridge the gap between the existing theory and practical applications both from a probabilistic as well as from a statistical point of view. Whatever new theory is presented is always motivated by relevant real-life examples.

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 
 

 

 

 

 

 

 

 

 

 

A.V. Melnikov, Financial Markets: Stochastic Analysis and the Pricing of Derivative Securities, American Math Society, 1998 ISBN 0821810820

 

Financial mathematics is going through a period of intensive development, particularly in the area of stochastic analysis. This timely work presents a comprehensive, self-contained introduction to stochastic financial mathematics. It is based on lectures given at Moscow State University, "Stochastic Analysis in Finance", and comprises the basic methods and key results of the theory of derivative securities pricing in discrete financial markets.

 
 

 

 

 

 

 

 

 

 

 

Clare Bellis, John Shepherd & Richard Lyon, Understanding Actuarial Management: the actuarial control cycle, Institute of Actuaries of Australia, 2003

ISBN 085813071-8

 

Understanding Actuarial Management: the actuarial control cycle is essential reading for actuarial students and other professionals seeking an insight into how actuaries manage future financial risk within dynamic economic and social systems.

 

Institute of Actuaries of Australia granted this book to the Centre.

 
 

 

 

 

 

 

 

 

 

Ioannis Karatzas, Steven E. Shreve, Methods of Mathematical Finance,  Springer, 1998  ISBN 0387948392

 

 

Written by two of the best-known researchers in mathematical finance, this book presents techniques of practical importance as well as advanced methods for research. Contingent claim pricing and optimal consumption/investment in both complete and incomplete markets are discussed, as well as Brownian motion in financial markets and constrained consumption and investment.

 

Marek Musiela, Marek Rutkowski, Martingale Methods in Financial Modelling, Springer, 1997 ISBN 354061477X

 

This book provides a comprehensive and self-contained treatment of the theory and practice of option pricing. The role of martingale methods in financial modelling is exposed. The emphasis is on using arbitrage-free models already accepted by the market as well as on building the new ones but in a way that makes them consistent with the finance industry derivatives pricing practice. Standard calls and puts together with numerous examples of exotic options such as barriers and quantos, for example on stocks, indices, currencies and interest rates are analysed.

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Bernt Oksendal, Stochastic Differential Equations: An Introduction with Applications, Springer, 2003 ISBN 3540047581

 

This book gives an introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presentation is to start from some basic results (without proofs) of the easier cases and develop the theory from there, and to concentrate on the proofs of the easier case in order to be able to reach quickly the parts of the theory which is most important for the applications.

 
 

 

 

 

 

 

 

 

 

 

 

S.T. Rachev, Handbook of Heavy Tailed Distributions in Finance, North- Holland, 2003 ISBN 0444508961

 

 

The Handbooks in Finance are intended to be a definitive source for comprehensive and accessible information in the field of finance. Each individual volume in the series should present an accurate self-contained survey of a sub-field of finance, suitable for use by finance and economics professors and lecturers, professional researchers, graduate students and as a teaching supplement. The goal is to have a broad group of outstanding volumes in various areas of finance.

 
 

 

 

 

 

 

 

 

 

 

Albert Shiriaev, Essentials of Stochastic Finance: Facts, Models, Theory, World Scientific Pub Co, 1999 ISBN 9810236050

 

 

The Essentials of Stochastic Finance: Facts, Models, Theory by Albert N. Shiriaev, et al offers a clear treatment of both theoretical and empirical Finance. Shiryaev presents not only the essentials of probability as it is applied to finance, but he also covers recent developments in Mathematical Finance. Each topic moves from the specific to the general, beginning with one or more examples to lead into the theoretical results.

 
 

 

 

 

 

 

 

 

 

 

Timothy F. Harris, Albert E. Easton, Actuarial Aspects of Individual Life Insurance and Annuity Contracts, ACTEX, 1999 ISBN 1566983460

 

This text focuses on the relationships among the various types of values that are associated with individual life and annuity contracts. For the student, it illustrates the dependencies that exist among premiums, cash values, reserves, dividends and other non-guaranteed elements when designing individual products. For the experienced actuary, this text provides a comprehensive summary of current actuarial practice in the design, pricing and daily maintenance of individual products.

 
 

 

 

 

 

 

 

 

 

 

 

 


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Researchers and students can also find many useful on-line full-text research actuarial working papers and technical reports. The list of links to the web sites with full-text downloadable research papers is provided on our web site in section Links. 

 

The entire collection of all back issues of the Scandinavian Actuarial Journal has been granted to the Ukrainian Actuarial Society by Dr. Arne Sandstrom (from Swedish Actuarial Society). This collection is currently held by the Department of Probability and Statistics, Mechanics and Mathematics Faculty of the Taras Shevchenko National University of Kiev. Interested students and researchers may contact Prof. Mykhailo MOKLYACHUK concerning opportunities to get an access to this collection. 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


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