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 these methods. It also emphasizes the wide variety of practical situations in insurance and actuarial science where these techniques may be used.

Although some chapters are linked, several can be studied independently from the others. The first chapter introduces claims reserving via the deterministic chain ladder technique. The next few chapters survey loss distributions, risk models in a fixed period of time, and surplus processes, followed by an examination of credibility theory in which collateral and sample information are brought together to provide reasonable methods of estimation. In the subsequent chapter, experience rating via no claim discount schemes for motor insurance provides an interesting application of Markov chain methods. The final chapters discuss generalized linear models and decision and game theory.

Developed by an author with many years of teaching experience, this text presents an accessible, sound foundation in both the theory and applications of actuarial science. It encourages students to use the statistical software package R to check examples and solve problems.

This book introduces ALM in the context of banks and insurance companies. Although this strategy has a core of fundamental frameworks, models may vary between banks and insurance companies because of the different risks and goals involved. The authors compare and contrast these methodologies to draw parallels between the commonalities and divergences of these two services and thereby provide a deeper understanding of ALM in general.

This book reviews some of the most recent developments in neural networks, with a focus on applications in actuarial sciences and finance. It simultaneously introduces the relevant tools for developing and analyzing neural networks, in a style that is mathematically rigorous yet accessible. Artificial intelligence and neural networks offer a powerful alternative to statistical methods for analyzing data. Various topics are covered from feed-forward networks to deep learning, such as Bayesian learning, boosting methods and Long Short Term Memory models. All methods are applied to claims, mortality or time-series forecasting. Requiring only a basic knowledge of statistics, this book is written for masters students in the actuarial sciences and for actuaries wishing to update their skills in machine learning. This is the third of three volumes entitled Effective Statistical Learning Methods for Actuaries. Written by actuaries for actuaries, this series offers a comprehensive overview of insurance data analytics with applications to P&C, life and health insurance. Although closely related to the other two volumes, this volume can be read independently.

Fabian Regele examines the appropriateness of the current regulatory treatment and the general suitability of unlisted infrastructure equity investments for the investment purposes of insurance companies. The employed valuation model of a stylized infrastructure asset delivers sound economic results and is consistent with the typical J-curve effect of the cumulative cash flows of these assets. In the context of a portfolio optimization, the infrastructure asset improves the insurance company's solvency situation by lowering its default probability and increasing its solvency ratio. In regard to the asset's risk contribution, there is a time-variant occurrence of certain risk channels during its lifecycle that leads to substantial differences in the risk exposure of the insurance company.

In a time before bonds, treasury notes, or central banks, there were tontines. These were schemes in which a group of investors lent money to a government, corporation, or king, similar to a modern-day loan syndicate. But unlike conventional debt, periodic interest payments were distributed only to survivors. As tontine nominees died, the income of survivors correspondingly increased. Morbid, perhaps, but this was one of the earliest forms of longevity insurance in which the pool shared the risk. Moshe A. Milevsky tells the story of the first tontine issued by the English government in 1693, known as King William's tontine, intended to finance the war against French King Louis XIV. He explains how tontines work, the financial and economic thinking behind them, as well as why they fell into disrepute. Milevsky concludes with a provocative argument that suitably modified tontines should be resurrected for twenty-first-century retirement income planning.

Canadian financial institutions have been in rapid change in the past five years. In response to these changes, the Department of Finance issued a discussion paper: The Regulation of Canadian Financial Institutions, in April 1985, and the government intends to introduce legislation in the fall. This paper studi.es the combinantion of financial institutions from the viewpoint of ruin probability. In risk theory developed to describe insurance companies [1,2,3,4,5J, the ruin probability of a company with initial reserve (capital) u is 6 1 -:;-7;;f3 u 1jJ(u) = H6 e H6 (1) Here,we assume that claims arrive as a Poisson process, and the claim amount is distributed as exponential distribution with expectation liS. 6 is the loading, i.e., premium charged is (1+6) times expected claims. Financial institutions are treated as "insurance companies": the difference between interest charged and interest paid is regarded as premiums, loan defaults are treated as claims.

Now in its fifth edition, this book offers a detailed yet concise introduction to the growing field of statistical applications in finance. The reader will learn the basic methods for evaluating option contracts, analyzing financial time series, selecting portfolios and managing risks based on realistic assumptions about market behavior. The focus is both on the fundamentals of mathematical finance and financial time series analysis, and on applications to specific problems concerning financial markets, thus making the book the ideal basis for lectures, seminars and crash courses on the topic. All numerical calculations are transparent and reproducible using quantlets. For this new edition the book has been updated and extensively revised and now includes several new aspects such as neural networks, deep learning, and crypto-currencies. Both R and Matlab code, together with the data, can be downloaded from the book's product page and the Quantlet platform. The Quantlet platform quantlet.de, quantlet.com, quantlet.org is an integrated QuantNet environment consisting of different types of statistics-related documents and program codes. Its goal is to promote reproducibility and offer a platform for sharing validated knowledge native to the social web. QuantNet and the corresponding Data-Driven Documents-based visualization allow readers to reproduce the tables, pictures and calculations inside this Springer book. "This book provides an excellent introduction to the tools from probability and statistics necessary to analyze financial data. Clearly written and accessible, it will be very useful to students and practitioners alike." Yacine Ait-Sahalia, Otto Hack 1903 Professor of Finance and Economics, Princeton University

Most academic and policy commentary represents adverse selection as a severe problem in insurance, which should always be deprecated, avoided or minimised. This book gives a contrary view. It details the exaggeration of adverse selection in insurers' rhetoric and insurance economics, and presents evidence that in many insurance markets, adverse selection is weaker than most commentators suggest. A novel arithmetical argument shows that from a public policy perspective, 'weak' adverse selection can be a good thing. This is because a degree of adverse selection is needed to maximise 'loss coverage', the expected fraction of the population's losses which is compensated by insurance. This book will be valuable for those interested in public policy arguments about insurance and discrimination: academics (in economics, law and social policy), policymakers, actuaries, underwriters, disability activists, geneticists and other medical professionals.

Originally published in 1938, this book presents the content of a paper read before the Insurance Institute of London by the leading actuary and statistician Sir William P. Elderton (1877-1962). The text provides an account regarding the impossibility of insurance companies giving people compensation in the event of damage from enemy military action. This book will be of value to anyone with an interest in economic history, military history and the insurance industry.

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

Standards often remain unseen, yet they play a fundamental part in the organisation of contemporary capitalism and society at large. What form of power do they epitomise? Why have they become so prominent? Are they set to be as important for the globalisation of services as for manufactured goods? Graz draws on international political economy and cognate fields to present strong theoretical arguments, compelling research and surprising evidence on the role of standards in the global expansion of services, with in-depth studies of their institutional environment and cases including the insurance industry and business process outsourcing in India. The power of standards resembles a form of transnational hybrid authority, in which ambiguity should be seen as a generic attribute, defining not only the status of public and private actors involved in standardisation and regulation, but also the scope of issues concerned and the space in which such authority is recognised when complying to standards. This book is also available as Open Access.

A clear and accessible guide to finance, which provides the ideal introduction for the non-specialist. Packed with examples and case studies, the book features numerous real-world demonstrations of key concepts and ideas. This new edition includes coverage of ESG investing, a brand new chapter on digital currencies and electronic payments, and new case studies on sustainability versus profit maximization, environmental financing, socially responsible investing, the rise of fintech, the perils of cryptocurrency, global debt pressures and 'the rise of the South' in finance. The fourth edition will be supplemented by useful digital resources in the form of instructor PowerPoint slides and a testbank of questions for students.

Post-crisis capital regulations and new failure-resolution rules increased the funding costs that are borne by bank shareholders, and thus the cost to buy-side firms for access to space on the balance sheets of large banks. A policy implication is the encouragement of market infrastructure and trading methods that reduce the amount of space on bank balance sheets that is needed to conduct a given amount of trade. Using models and evidence, this book addresses the implications for financial-market liquidity of these regulations for systemically important banks and argues that current rules do not allow for potential levels of market efficiency and financial stability. In this insightful analysis of the impact of regulation on financial market efficiency post-2008, the author argues that bank capital levels could actually be pushed higher while still improving the liquidity of markets for safe assets such as low-risk fixed-income instruments by relaxing the leverage-ratio rule and increasing risk-based capital requirements.

Occupational pensions are major participants in global financial markets with assets of well over $30 trillion, representing more than 40% of the assets of institutional investors. Some occupational pension funds control assets of over $400 billion, and the largest 300 occupational pension funds each have average assets of over $50 billion. The assets of UK pension funds are equivalent to UK GDP, and US pension fund assets are 83% of US GDP. These statistics highlight the importance of pension funds as major players in financial markets, and the need to understand the behaviour of these large institutional investors. Occupational pensions also play an important, but neglected, role in corporate finance. For example, US company pension schemes account for over 60% of company market value, and yet they are often ignored when analysing companies. This book is based on the substantial body of evidence available from around the world on a topic that has become increasingly important and controversial in recent years. Written for practitioners, students and academics, this book brings together and systematizes a very large international literature from financial economists, actuaries, practitioners, professional organizations, official documents and reports. The underlying focus is the application of the principles of financial economics to occupational pensions, including the work of Nobel laureates such as Merton, Markowitz, Modigliani, Miller and Sharpe, as well as Black. This book will give readers an up-to-date understanding of occupational pensions, the economic issues they face, and some suggestions of how these issues can be tackled. The first section explains the operation of defined benefit and defined contribution pensions, along with some descriptive statistics. The second section covers selected aspects of occupational pensions. The focus of these first two sections is on the economic and financial aspects of pensions, accompanied by some basic information on how they operate. This is followed by three further sections that analyse the investment of pension funds, the corporate finance implications of firms providing pensions for their employees, and annuities.

Originally published in 1931, this book was written to provide actuarial students with a guide to mathematics, with information on elementary trigonometry, finite differences, summation, differential and integral calculus, and probability. Examples are included throughout. This book will be of value to anyone with an interest in actuarial practice and its relationship with aspects of mathematics.

This work, now in a thoroughly revised second edition, presents the economic foundations of financial markets theory from a mathematically rigorous standpoint and offers a self-contained critical discussion based on empirical results. It is the only textbook on the subject to include more than two hundred exercises, with detailed solutions to selected exercises. Financial Markets Theory covers classical asset pricing theory in great detail, including utility theory, equilibrium theory, portfolio selection, mean-variance portfolio theory, CAPM, CCAPM, APT, and the Modigliani-Miller theorem. Starting from an analysis of the empirical evidence on the theory, the authors provide a discussion of the relevant literature, pointing out the main advances in classical asset pricing theory and the new approaches designed to address asset pricing puzzles and open problems (e.g., behavioral finance). Later chapters in the book contain more advanced material, including on the role of information in financial markets, non-classical preferences, noise traders and market microstructure. This textbook is aimed at graduate students in mathematical finance and financial economics, but also serves as a useful reference for practitioners working in insurance, banking, investment funds and financial consultancy. Introducing necessary tools from microeconomic theory, this book is highly accessible and completely self-contained. Advance praise for the second edition: "Financial Markets Theory is comprehensive, rigorous, and yet highly accessible. With their second edition, Barucci and Fontana have set an even higher standard!"Darrell Duffie, Dean Witter Distinguished Professor of Finance, Graduate School of Business, Stanford University "This comprehensive book is a great self-contained source for studying most major theoretical aspects of financial economics. What makes the book particularly useful is that it provides a lot of intuition, detailed discussions of empirical implications, a very thorough survey of the related literature, and many completely solved exercises. The second edition covers more ground and provides many more proofs, and it will be a handy addition to the library of every student or researcher in the field."Jaksa Cvitanic, Richard N. Merkin Professor of Mathematical Finance, Caltech "The second edition of Financial Markets Theory by Barucci and Fontana is a superb achievement that knits together all aspects of modern finance theory, including financial markets microstructure, in a consistent and self-contained framework. Many exercises, together with their detailed solutions, make this book indispensable for serious students in finance."Michel Crouhy, Head of Research and Development, NATIXIS

Originally published in 1955, on behalf of the Institute of Actuaries and the Faculty of Actuaries, this book forms the first of two volumes on actuarial practice in relation to mortality and other investigations. Taken together, both volumes were written to meet the requirements of the Examination Syllabus of the Institute of Actuaries. Volume one provides 'elementary accounts of the derivation of mortality and other rates according to age, of the smoothing of such rates and of the construction of Mortality and Sickness Tables'. This book will be of value to anyone with an interest in the development of actuarial practice.

Originally published in 1939, this book forms the first part of a two-volume series on the mathematics required for the examinations of the Institute of Actuaries, focusing on elementary differential and integral calculus. Miscellaneous examples are included at the end of the text. This book will be of value to anyone with an interest in actuarial science and mathematics.

The Health Care Safety Net in a Post-Reform World examines how national health care reform will impact safety net programs that serve low-income and uninsured patients. The "safety net" refers to the collection of hospitals, clinics, and doctors who treat disadvantaged people, including those without insurance, regardless of their ability to pay. Despite comprehensive national health care reform, over twenty million people will remain uninsured. And many of those who obtain insurance from reform will continue to face shortages of providers in their communities willing or able to serve them. As the demand for care grows with expanded insurance, so will the pressure on an overstretched safety net. This book, with contributions from leading health care scholars, is the first comprehensive assessment of the safety net in over a decade. Rather than view health insurance and the health care safety net as alternatives to each other, it examines their potential to be complementary aspects of a broader effort to achieve equity and quality in health care access. It also considers whether the safety net can be improved and strengthened to a level that can provide truly universal access, both through expanded insurance and the creation of a well-integrated and reasonably supported network of direct health care access for the uninsured. Seeing safety net institutions as key components of post-health care reform in the United States-as opposed to stop-gap measures or as part of the problem-is a bold idea. And as presented in this volume, it is an idea whose time has come.

The interaction between mathematicians and statisticians has been shown to be an effective approach for dealing with actuarial, insurance and financial problems, both from an academic perspective and from an operative one. The collection of original papers presented in this volume pursues precisely this purpose. It covers a wide variety of subjects in actuarial, insurance and finance fields, all treated in the light of the successful cooperation between the above two quantitative approaches. The papers published in this volume present theoretical and methodological contributions and their applications to real contexts. With respect to the theoretical and methodological contributions, some of the considered areas of investigation are: actuarial models; alternative testing approaches; behavioral finance; clustering techniques; coherent and non-coherent risk measures; credit scoring approaches; data envelopment analysis; dynamic stochastic programming; financial contagion models; financial ratios; intelligent financial trading systems; mixture normality approaches; Monte Carlo-based methods; multicriteria methods; nonlinear parameter estimation techniques; nonlinear threshold models; particle swarm optimization; performance measures; portfolio optimization; pricing methods for structured and non-structured derivatives; risk management; skewed distribution analysis; solvency analysis; stochastic actuarial valuation methods; variable selection models; time series analysis tools. As regards the applications, they are related to real problems associated, among the others, to: banks; collateralized fund obligations; credit portfolios; defined benefit pension plans; double-indexed pension annuities; efficient-market hypothesis; exchange markets; financial time series; firms; hedge funds; non-life insurance companies; returns distributions; socially responsible mutual funds; unit-linked contracts. This book is aimed at academics, Ph.D. students, practitioners, professionals and researchers. But it will also be of interest to readers with some quantitative background knowledge.

This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce the student's conceptual understanding and facility with applications. The exercises are divided into conceptual, application-based, and theoretical problems, which probe the material deeper. The book is aimed toward advanced undergraduates and first-year graduate students who are new to finance or want a more rigorous treatment of the mathematical models used within. While no background in finance is assumed, prerequisite math courses include multivariable calculus, probability, and linear algebra. The authors introduce additional mathematical tools as needed. The entire textbook is appropriate for a single year-long course on introductory mathematical finance. The self-contained design of the text allows for instructor flexibility in topics courses and those focusing on financial derivatives. Moreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical.

Originally published in 1932, as part of the Institute of Actuaries Students' Society's Consolidation of Reading Series, this book was written to provide actuarial students with a guide 'to bridging the gap between the strict mathematics of life contingencies and the severely practical problems of Life Office Valuations'. This book will be of value to anyone with an interest in the actuarial profession and the history of finance.

Learn from some of the most respected women in insurance and risk management Women to Watch presents the advice, guidance, and lessons learned from the most successful women in risk management and insurance. For the past 10 years, Business Insurance has highlighted key women in the field—women noted for their skills, accomplishments, courage, wisdom, and everyday steel. In this book, these women present their stories in their own words; through essays and anecdotes about key issues, key moments, and crucial lessons, former Women to Watch honorees provide a glimpse into what it takes to make it. They've battled obstacles, hurdles, and institutionalized career impediments—and they've come out on top; their stories provide inspiration, motivation, and concrete, real-world guidance for all women who seek advancement in the insurance and risk management fields. Business Insurance receives several hundred Women to Watch nominations every year; of those, they honor only 25. These women are the cream of the crop, and their unique insights into all-too-common experiences can help us all rise to the top. Shatter the glass ceiling and close the wage gap Shift your perspective on what "work/life balance" means Celebrate and navigate the workplace's changing demographics Learn how successful women get it done The insurance and risk management fields look very different today than they did even 10 years ago; there is much to celebrate, but even more still left to be done. There is no substitute for the wisdom of experience, and the best lessons come from those who have navigated the path successfully. Women to Watch provides unique insight into the women who have conquered the field, and critical perspective for those who will follow.

Legal reserve life insurance in the United States and Canada as a modern instrument for meeting the quest for economic security, has attained size and significance unparalleled elsewhere in the world. It holds in a fiduciary capacity more than $60 billion and affects the lives of half the population as owners of life insurance and annuity contracts. Still in process of evolution, it helps to shape the pattern of life and is at the same time being shaped by its own environment. This third volume of lectures issued under the auspices of the S. S. Huebner Foundation for Insurance Education deals with significant trends and problems in life insurance at the midpoint of the twentieth century. In so doing, it bears testimony to the vitality and adaptive power of this modem device for sharing one another's burdens.

This Brief presents a benefit-cost analysis of the National Flood Insurance Program (NFIP) as well as an evaluation of its cumulative socioeconomic effects. Created by Congress in 1968, the NFIP provides flood insurance protection to property owners, in return for local government commitment to sound floodplain management. Since 1994, the NFIP has included a Flood Mitigation Assistance (FMA) program to provide local communities with support for flood mitigation. This book offers quantitative evidence of the net social benefit of the NFIP for the years 1996-2010, including an independent assessment of the consumer benefit. Second, it provides distributionally weighted analysis to show the socioeconomic effects of payments and claims. Finally, this Brief includes an analysis of the change in government revenue attributable to the NFIP and FMA programs. The models used in each component of the analysis are usable by others for extending and revising the analysis. Providing a comprehensive analysis of this increasingly important federal policy, this Brief will be of use to students of environmental economics and public policy as well as those interested in risk management in the era of climate change.