This textbook provides a broad overview of the present state of insurance mathematics and some related topics in risk management, financial mathematics and probability. Both non-life and life aspects are covered. The emphasis is on probability and modeling rather than statistics and practical implementation. Aimed at the graduate level, pointing in part to current research topics, it can potentially replace other textbooks on basic non-life insurance mathematics and advanced risk management methods in non-life insurance. Based on chapters selected according to the particular topics in mind, the book may serve as a source for introductory courses to insurance mathematics for non-specialists, advanced courses for actuarial students, or courses on probabilistic aspects of risk. It will also be useful for practitioners and students/researchers in related areas such as finance and statistics who wish to get an overview of the general area of mathematical modeling and analysis in insurance.

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.

In this concise yet comprehensive guide to the mathematics of modern portfolio theory the authors discuss mean-variance analysis, factor models, utility theory, stochastic dominance, very long term investing, the capital asset pricing model, risk measures including VAR, coherence, market efficiency, rationality and the modelling of actuarial liabilities. Each topic is clearly explained with assumptions, mathematics, limitations, problems and solutions presented in turn. Joshi's trademark style of clarity and practicality is here brought to classical financial mathematics. The book is suitable for mathematically trained students in actuarial studies, business and economics as well as mathematics and finance, and it can be used for both self-study and as a course text. The authors' experience as both academics and practitioners brings clarity and relevance to the book, whilst ensuring that the limitations of models are highlighted.

Unassuming but formidable, American maritime insurers used their position at the pinnacle of global trade to shape the new nation. The international information they gathered and the capital they generated enabled them to play central roles in state building and economic development. During the Revolution, they helped the U.S. negotiate foreign loans, sell state debts, and establish a single national bank. Afterward, they increased their influence by lending money to the federal government and to its citizens. Even as federal and state governments began to encroach on their domain, maritime insurers adapted, preserving their autonomy and authority through extensive involvement in the formation of commercial law. Leveraging their claims to unmatched expertise, they operated free from government interference while simultaneously embedding themselves into the nation's institutional fabric. By the early nineteenth century, insurers were no longer just risk assessors. They were nation builders and market makers. Deeply and imaginatively researched, Underwriters of the United States uses marine insurers to reveal a startlingly original story of risk, money, and power in the founding era.

This book summarizes the state of the art in tree-based methods for insurance: regression trees, random forests and boosting methods. It also exhibits the tools which make it possible to assess the predictive performance of tree-based models. Actuaries need these advanced analytical tools to turn the massive data sets now at their disposal into opportunities. The exposition alternates between methodological aspects and numerical illustrations or case studies. All numerical illustrations are performed with the R statistical software. The technical prerequisites are kept at a reasonable level in order to reach a broad readership. In particular, master's students in actuarial sciences and actuaries wishing to update their skills in machine learning will find the book useful. This is the second 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.

This is a comprehensive and accessible reference source that documents the theoretical and practical aspects of all the key deterministic and stochastic reserving methods that have been developed for use in general insurance. Worked examples and mathematical details are included, along with many of the broader topics associated with reserving in practice. The key features of reserving in a range of different contexts in the UK and elsewhere are also covered. The book contains material that will appeal to anyone with an interest in claims reserving. It can be used as a learning resource for actuarial students who are studying the relevant parts of their professional bodies' examinations, as well as by others who are new to the subject. More experienced insurance and other professionals can use the book to refresh or expand their knowledge in any of the wide range of reserving topics covered in the book.

This book, adopting machine learning techniques for the financial planning field, explores the demand for life insurance as seen in previous literature and both estimates and predicts the demand for the adoption of life insurance using these techniques. Previous studies used diverse perspectives, like actuarial and life span, in order to understand the demand for life insurance, though these approaches have shown inconsistent findings. Employing two theoretical backgrounds-ecological systemic theory and artificial intellectual methodology-this book explores a better estimation and a prediction of the demand for life insurance and will be of interest to academics and students of insurance, financial planning, and risk management.

The growth of Islamic finance today is undeniable given its services, product innovation, performance and achievements, with the Islamic insurance market being no exception; it has retained global market recognition in a parallel platform as Islamic finance moves forward. There is much written regarding the Islamic insurance system, but rarely do researchers present the various Islamic insurance products and their structures in one collective place. This book is a timely addition in meeting contemporary market demands by providing a much-needed overview of the Islamic insurance products and their Shari'ah compliant structures. This book would be of interest to academics, researchers, students and professionals who are seeking to understand the products offered.

This book deals with Enterprise Risk Management (ERM) and, in particular, Quantitative Risk Management (QRM) in life insurance business. Constituting a "bridge" between traditional actuarial mathematics and insurance risk management processes, its purpose is to provide advanced undergraduate and graduate students in the Actuarial Sciences, Finance and Economics with the basics of ERM (in general) and QRM applied to life insurance business. The main topics dealt with are: general issues on ERM, risk management tools for life insurance and life annuities, deterministic and stochastic analysis of the behaviour of a portfolio fund, application of sensitivity testing to assess ranges of results of interest, stress testing to assess the impact of extreme scenarios, and the product development process for life annuity products.

The Alternative Risk Transfer (ART) market has expanded in recent years to become a vital source of risk solutions and risk capacity and an important mechanism for the creation of integrated corporate risk management programs. The ART market unites the risk management and product development skills of financial institutions, insurers and reinsurers with the capital of global investors to give corporate risk managers the best possible means of managing financial and operating risks. In a time when natural and man-made disasters and financial volatility are constantly present, the need for dependable, equitably priced risk capacity and innovative, holistic risk solutions has never been greater. The ART market, which can supply both, is thus becoming an integral component of the 21st century financial markets. Alternative Risk Transfer, written by a veteran of the banking and insurance industries, provides a practical, detailed and up-to-date review of the topic. The text is divided into four parts, including Risk and the ART market Insurance and Reinsurance Capital Markets Enterprise Risk Management and the Future of ART The book contains numerous worked examples and case studies to

Can private health insurance fill gaps in publicly financed coverage? Does it enhance access to health care or improve efficiency in health service delivery? Will it provide fiscal relief for governments struggling to raise public revenue for health? This book examines the successes, failures and challenges of private health insurance globally through country case studies written by leading national experts. Each case study considers the role of history and politics in shaping private health insurance and determining its impact on health system performance. Despite great diversity in the size and functioning of markets for private health insurance, the book identifies clear patterns across countries, drawing out valuable lessons for policymakers while showing how history and politics have proved a persistent barrier to effective public policy. This title is also available as Open Access on Cambridge Core.

Sicherheitsmanagement wird mit Hilfe des vorliegenden Handbuchs und der Software Ariadne SMS effizient und kostengunstig. Die Autoren beschreiben die Digitalisierung des Expertenwissens von Unfalluntersuchern und dessen maschinelle Verarbeitung. Das gesamte Unfallgeschehen wird mit algorithmisch auswertbaren Schlusseln strukturiert klassifiziert. Unfalldeskriptoren und Fehlervariablen werden auf der Basis des 3-Ebenen-Modells der Unfallentstehung zu Risikoprofilen und Praventionsmassnahmen verarbeitet. Ariadne SMS basiert auf aktueller Web-IT und ist durch selbstlernende Netze innovativ. Automatisierte Muster- und Spracherkennungsverfahren generieren valide Risikovorhersagen und Simulationen der Wirksamkeit von Massnahmen auf die Risikoverteilung. Fehlerquellen entfallen, Bearbeitungsschritte werden eingespart, Informationen sind transparent und jederzeit verfugbar. Der praktische Einsatz bei Bundeswehr und Berufsgenossenschaften fuhrte zu erheblichen Einsparungen. Anwendungen in Medizin und Unternehmensfuhrung, im Umwelt- und Katastrophenschutz sowie bei Versicherungen sind moeglich.

Michel Denuit - Institut de Statistique, Universite Catholique de Louvain, Belgium

Xavier Marechal - Reacfin, Spin-off of the Universite Catholique de Louvain, Belgium

Sandra Pitrebois - Secura, Belgium

Jean-Francois Walhin - Fortis, Belgium

There are a wide range of variables for actuaries to consider when calculating a motorist's insurance premium, such as age, gender and type of vehicle. Further to these factors, motorists' rates are subject to experience rating systems, including credibility mechanisms and Bonus Malus systems (BMSs).

"Actuarial Modelling of Claim Counts" presents a comprehensive treatment of the various experience rating systems and their relationships with risk classification. The authors summarize the most recent developments in the field, presenting ratemaking systems, whilst taking into account exogenous information.

The text: Offers the first self-contained, practical approach to a priori and a posteriori ratemaking in motor insurance. Discusses the issues of claim frequency and claim severity, multi-event systems, and the combinations of deductibles and BMSs. Introduces recent developments in actuarial science and exploits the generalised linear model and generalised linear mixed model to achieve risk classification. Presents credibility mechanisms as refinements of commercial BMSs. Provides practical applications with real data sets processed with SAS software.

"Actuarial Modelling of Claim Counts" is essential reading for students in actuarial science, as well as practicing and academic actuaries. It is also ideally suited for professionals involved in the insurance industry, applied mathematicians, quantitative economists, financial engineers and statisticians.

The substantially updated third edition of the popular Actuarial Mathematics for Life Contingent Risks is suitable for advanced undergraduate and graduate students of actuarial science, for trainee actuaries preparing for professional actuarial examinations, and for life insurance practitioners who wish to increase or update their technical knowledge. The authors provide intuitive explanations alongside mathematical theory, equipping readers to understand the material in sufficient depth to apply it in real-world situations and to adapt their results in a changing insurance environment. Topics include modern actuarial paradigms, such as multiple state models, cash-flow projection methods and option theory, all of which are required for managing the increasingly complex range of contemporary long-term insurance products. Numerous exam-style questions allow readers to prepare for traditional professional actuarial exams, and extensive use of Excel ensures that readers are ready for modern, Excel-based exams and for the actuarial work environment. The Solutions Manual (ISBN 9781108747615), available for separate purchase, provides detailed solutions to the text's exercises.

Index based insurance schemes can play a vital role in insuring poor people in developing countries against a multitude of risk. However, the concept doesn't go along without any obstacles. Matthias Roedl provides a theoretical framework of index based insurance schemes and further highlights where the latter distinguishes from a classic indemnity insurance. Thereby, scholars can gain a comprehensive theoretical insight into the topic, while practitioners are enabled to identify and understand fundamental challenges for their project upfront as well as to foster sound solutions.

This book is written for the experienced portfolio manager and professional options traders. It is a practical guide offering how to apply options math in a trading world that demands mathematical measurement. Every options trader deals with an array of calculations: beginners learn to identify risks and opportunities using a short list of strategies, while researchers and academics turn to advanced technical manuals. However, almost no books exist for the experienced portfolio managers and professional options traders who fall between these extremes. Michael C. Thomsett addresses this glaring gap with The Mathematics of Options, a practical guide with actionable tools for the practical application of options math in a world that demands quantification. It serves as a valuable reference for advanced methods of evaluating issues of pricing, payoff, probability, and risk. In his characteristic approachable style, Thomsett simplifies complex hot button issues-such as strategic payoffs, return calculations, and hedging options-that may be mentioned in introductory texts but are often underserved. The result is a comprehensive book that helps traders understand the mathematic concepts of options trading so that they can improve their skills and outcomes.

Get your financial life in order. This comprehensive and objective guidebook will help you grow your net worth on a steady and increasing basis, regardless of your income level. This new and expanded edition covers changes and strategies to maximize financial benefits and planning resulting from the recent tax legislation, beginning January 2018, and changes to the Affordable Care and Protection Act of 2010. Covering all the financial bases you can reasonably expect to confront in your lifetime, such as insurance, investing, income tax planning, Social Security, Medicare, and more, this vital resource begins with techniques to protect a consumer's personal and business assets. It then transitions into the wealth accumulation process and outlines tax management measures, as well as the distribution of wealth for higher education, retirement, and estate planning purposes. Written by an expert and long-standing educator in the field of personal financial planning, Plan Your Financial Future is a no-nonsense, straightforward, and holistic view of the financial planning process. It is the one resource you need to become a more knowledgeable saver and translate those savings into the accumulation of future wealth. What You'll Learn Insure yourself, your family, and your property against the possibility of significant loss Invest in financial or real assets-or both Implement effective tax planning and management techniques Distribute your estate at death to your intended beneficiaries in a tax-efficient manner Discover strategies to maximize financial health taking into consideration the new tax legislation, effective January 1, 2018 Who This Book Is For Regardless of whether you are a recent college graduate or have spent the past several decades in the working world, this book will give you the smart, commonsense advice you need to get your financial life in order.

Much has been written about the ups and downs of financial markets, from the lure of prosperity to the despair of crises. Yet a more fundamental and pernicious source of uncertainty exists in today's world: the traditional "insurance" risks of earthquakes, storms, terrorist attacks, and other disasters. Insightfully exploring these "acts of God and man," Michael R. Powers guides readers through the methods available for identifying and measuring such risks, financing their consequences, and forecasting their future behavior within the limits of science.

A distinctive characteristic of earthquakes, hurricanes, bombings, and other insurance risks is that they impact the values of stocks, bonds, commodities, and other market-based financial products, while remaining largely unaffected by or "aloof" from the behavior of markets. Quantifying such risks given limited data is difficult yet crucial for achieving the financing objectives of insurance. Powers begins with a discussion of how risk impacts our lives, health, and possessions and proceeds to introduce the statistical techniques necessary for analyzing these uncertainties. He then considers the experience of risk from the perspectives of both policyholders and insurance companies, and compares their respective responses.

The risks inherent in the private insurance industry lead naturally to a discussion of the government's role as both market regulator and potential "insurer of last resort." Following a thoughtful and balanced analysis of these issues, Powers concludes with an interdisciplinary investigation into the nature of uncertainty, incorporating ideas from physics, philosophy, and game theory to assess science's limitations in predicting the ramifications of risk.

This book provides an overview of classical actuarial techniques, including material that is not readily accessible elsewhere such as the Ammeter risk model and the Markov-modulated risk model. Other topics covered include utility theory, credibility theory, claims reserving and ruin theory. The author treats both theoretical and practical aspects and also discusses links to Solvency II. Written by one of the leading experts in the field, these lecture notes serve as a valuable introduction to some of the most frequently used methods in non-life insurance. They will be of particular interest to graduate students, researchers and practitioners in insurance, finance and risk management.

For much of the twentieth century, industrialized nations addressed social problems, such as workers' compensation benefits and social welfare programs, in terms of spreading risk. But in recent years a new approach has emerged: using risk both as a way to conceive of and address social problems and as an incentive to reduce individual claims on collective resources.
"Embracing Risk" explores this new approach from a variety of perspectives. The first part of the book focuses on the interplay between risk and insurance in various historical and social contexts. The second part examines how risk is used to govern fields outside the realm of insurance, from extreme sports to policing, mental health institutions, and international law. Offering an original approach to risk, insurance, and responsibility, the provocative and wide-ranging essays in "Embracing Risk" demonstrate that risk has moved well beyond its origins in the insurance trade to become a central organizing principle of social and cultural life.

This book is divided into two parts, the first of which seeks to connect the phase transitions of various disciplines, including game theory, and to explore the synergies between statistical physics and combinatorics. Phase Transitions has been an active multidisciplinary field of research, bringing together physicists, computer scientists and mathematicians. The main research theme explores how atomic agents that act locally and microscopically lead to discontinuous macroscopic changes. Adopting this perspective has proven to be especially useful in studying the evolution of random and usually complex or large combinatorial objects (like networks or logic formulas) with respect to discontinuous changes in global parameters like connectivity, satisfiability etc. There is, of course, an obvious strategic element in the formation of a transition: the atomic agents "selfishly" seek to optimize a local parameter. However, up to now this game-theoretic aspect of abrupt, locally triggered changes had not been extensively studied. In turn, the book's second part is devoted to mathematical and computational methods applied to the pricing of financial contracts and the measurement of financial risks. The tools and techniques used to tackle these problems cover a wide spectrum of fields, like stochastic calculus, numerical analysis, partial differential equations, statistics and econometrics. Quantitative Finance is a highly active field of research and is increasingly attracting the interest of academics and practitioners alike. The material presented addresses a wide variety of new challenges for this audience.

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.

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.