Classical Insurance Solvency Theory


Book Description

The problem of solvency is, in fact, as old as insurance. The history of the industry knows many ways to meet the risks involved with underwriting, such as spreading the risk portfolio (Cato, Senior already applied it), risk selection, reserve funds, reinsurance, etc. Whilst these measures too often proved ineffective, the establish ment of legislative control and public supervision ensued. However, not until the last few decades has the solvency issue become an ob ject of intensive studies, very much thanks to the progress of related empirical and theoretical knowledge, and in the under standing of the concerned complicated processes. The research activities have grown extensively in many countries in recent years. The more the studies advance the more new relevant aspects are detected and a great variety of alternative proposals have come up for discussion. Therefore, it has become necessary to attempt a survey of the whole problem area in order to be able to place the quite numerous pieces of knowledge in their proper context, and also, among other things, to avoid the pitfalls of handling isolated problems omitting vital tie-ins to the environment. Many of the rele vant problems and subproblems are still lacking adequate and well tested solutions. Therefore, a survey of the whole problem area can also hopefully serve as guidance for future research efforts.







Insurance Planning Models: Price Competition And Regulation Of Financial Stability


Book Description

Insurance Planning Models: Price Competition and Regulation of Financial Stability is an exciting new book that takes readers inside the secrets of internal organization of the modern general insurance business. Many people know that it is subject to intensive state regulation, whereby the purpose is to maintain long-term efficiency, honesty, security and stability in the interest and for the protection of policyholders. However, except for knowing that the insurance system is regulated by intensive calculations, that the insurance companies have different positions on the market, that they pursue different goals and even compete with each other, and that one of the tools of this competition is the policy price, not so many people know how to achieve these deserving goals.In developing quantitative recommendations and directives to competing insurers, regulators rely on certain models. In the 1900s, such models were proposed. They were useful for an insight into the probabilistic nature of the insurance process, but not for direct application to practically meaningful problems of insurance regulation. This book is your guide to the rigorously constructed long-term dynamic models with the aim to improve regulatory methods and develop quantitative recommendations using both analytical calculations and computer simulation. It is addressed to a wide range of readers, including interested policyholders, economists whose interest lies in insurance management and regulation, and mathematicians wishing to expand the scope of application for their knowledge.This book is devoted to certain issues that are either not sufficiently presented, or even absent in the literature. It is an attempt to penetrate from the standpoint of mathematical modeling into the goals which face insurance regulators and contending company managers for preventing insolvencies, or even crises pertinent to badly regulated complex reflexive systems.It offers rigorous probabilistic models of long-term insurance business based on the laws of mass phenomena. They mitigate deficiencies of oversimplified risk models. The book presents advances in probabilistic techniques designed to seek quantitative, rather than qualitative, directives and recommendations regarding safe control aiming to achieve different business goals.




Risk Measures and Insurance Solvency Benchmarks


Book Description

Risk Measures and Insurance Solvency Benchmarks: Fixed-Probability Levels in Renewal Risk Models is written for academics and practitioners who are concerned about potential weaknesses of the Solvency II regulatory system. It is also intended for readers who are interested in pure and applied probability, have a taste for classical and asymptotic analysis, and are motivated to delve into rather intensive calculations. The formal prerequisite for this book is a good background in analysis. The desired prerequisite is some degree of probability training, but someone with knowledge of the classical real-variable theory, including asymptotic methods, will also find this book interesting. For those who find the proofs too complicated, it may be reassuring that most results in this book are formulated in rather elementary terms. This book can also be used as reading material for basic courses in risk measures, insurance mathematics, and applied probability. The material of this book was partly used by the author for his courses in several universities in Moscow, Copenhagen University, and in the University of Montreal. Features Requires only minimal mathematical prerequisites in analysis and probability Suitable for researchers and postgraduate students in related fields Could be used as a supplement to courses in risk measures, insurance mathematics and applied probability.




Financial Models of Insurance Solvency


Book Description

The First International Conference on Insurance Solvency was held at the Wharton School, University of Pennsylvania from June 18th through June 20th, 1986. The conference was the inaugural event for Wharton's Center for Research on Risk and Insurance. In atten dance were thirty-nine representatives from Australia, Canada, France, Germany, Israel, the United Kingdom, and the United States. The papers presented at the Conference are published in two volumes, this book and a companion volume, Classical Insurance Solvency Theory, J. D. Cummins and R. A. Derrig, eds. (Norwell, MA: Kluwer Academic Publishers, 1988). The first volume presented two papers reflecting important advances in actuarial solvency theory. The current volume goes beyond the actuarial approach to encom pass papers applying the insights and techniques of financial economics. The papers fall into two groups. The first group con sists of papers that adopt an essentially actuarial or statistical ap proach to solvency modelling. These papers represent methodology advances over prior efforts at operational modelling of insurance companies. The emphasis is on cash flow analysis and many of the models incorporate investment income, inflation, taxation, and other economic variables. The papers in second group bring financial economics to bear on various aspects of solvency analysis. These papers discuss insurance applications of asset pricing models, capital structure theory, and the economic theory of agency.




Practical Risk Theory for Actuaries


Book Description

This classic textbook covers all aspects of risk theory in a practical way. It builds on from the late R.E. Beard's extremely popular book Risk Theory, but features more emphasis on simulation and modeling and on the use of risk theory as a practical tool. Practical Risk Theory is a textbook for practicing and student actuaries on the practical aspects of stochastic modeling of the insurance business. It has its roots in the classical theory of risk but introduces many new elements that are important in managing the insurance business but are usually ignored in the classical theory. The authors avoid overcomplicated mathematics and provide an abundance of diagrams.




Handbook of Solvency for Actuaries and Risk Managers


Book Description

A one-stop shop for actuaries and risk managers, this handbook covers general solvency and risk management topics as well issues pertaining to the European Solvency II project. It focuses on the valuation of assets and liabilities, the calculation of capital requirement, and the calculation of the standard formula for the Solvency II project. The author describes valuation and investment approaches, explains how to develop models and measure various risks, and presents approaches for calculating minimum capital requirements based on CEIOPS final advice. Updates on solvency projects and issues are available at www.SolvencyII.nu




Managing the Insolvency Risk of Insurance Companies


Book Description

Two different applications have been considered, automobile claims from Massachusetts and health expenses from the Netherlands. We have fit 11 different distributions to these data. The distributions are conveniently nested within a single four parameter distribution, the generalized beta of the second type. This relationship facilitates analysis and comparisons. In both cases the GB2 provided the best fit and the Burr 3 is the best three parameter model. In the case of automobile claims, the flexibility of the GB2 provides a statistically siE;nificant improvement in fit over all other models. In the case of Dutch health expenses the improvement of the GB2 relative to several alternatives was not statistically significant. * The author appreciates the research assistance of Mark Bean, Young Yong Kim and Steve White. The data used were provided by Richard Derrig of The Massachusetts Automobile Rating and Accident Prevention Bureau and by Bob Van der Laan and The Silver Cross Foundation for the medical insurance claim data. 2~ REFERENCES Arnold, B. C. 1983. Pareto Distributions. Bartonsville: International Cooperative Publishing House. Cummins, J. D. and L. R. Freifelder. 1978. A comparative analysis of alternative maximum probable yearly aggregate loss estimators. Journal of Risk and Insurance 45:27-52. *Cummins, J. D., G. Dionne, and L. Maistre. 1987. Application of the GB2 family of distributions in collective risk theory. University of Pennsylvania: Mimeographed manuscript. Hogg, R. V. and S. A. Klugman. 1983. On the estimation of long tailed skewed distributions with actuarial applications.




Workers’ Compensation Insurance: Claim Costs, Prices, and Regulation


Book Description

The articles in this volume were first presented at the Seventh and Eighth Conferences on Economic Issues in Workers' Compensation sponsored by the National Council on Compensation Insurance. A principal objective of the Conference series has been for workers' compensation insurance researchers to apply state-of-the-art research methodologies to policy questions of interest to the workers' compensation insurance community. This community is a rather diverse group--it includes employers, insurers, injured workers, regulators, and legislators, as well as those who service or represent these groups (e.g., physicians, rehabilitation specialists, labor unions). Despite this diversity and the variety of agendas, the Conference series continues to address many important policy questions. Readers familiar with the Conference series and the four previously published volumes should notice an evolution in terms of the topics addressed in this volume. In the earlier conferences, the topics were more often concerned with the underlying causes of the tremendous increase in workers' compensation benefit payments. In the present volume, h- ever, only four of the fourteen chapters directly concern workers' c- pensation insurance benefits, while the other ten concern the pricing of workers compensation insurance. This is not to suggest that workers' compensation cost increases have abated. In 1989, workers' compensation incurred losses exceeded $45 billion to continue the annual double-digit cost increases. Two explanations can be offered for the somewhat altered focus of this volume. First, despite the continued increase in prices, the financial results for the workers' compensation insurance line continue to be poor.




Foundations of Insurance Economics


Book Description

Economic and financial research on insurance markets has undergone dramatic growth since its infancy in the early 1960s. Our main objective in compiling this volume was to achieve a wider dissemination of key papers in this literature. Their significance is highlighted in the introduction, which surveys major areas in insurance economics. While it was not possible to provide comprehensive coverage of insurance economics in this book, these readings provide an essential foundation to those who desire to conduct research and teach in the field. In particular, we hope that this compilation and our introduction will be useful to graduate students and to researchers in economics, finance, and insurance. Our criteria for selecting articles included significance, representativeness, pedagogical value, and our desire to include theoretical and empirical work. While the focus of the applied papers is on property-liability insurance, they illustrate issues, concepts, and methods that are applicable in many areas of insurance. The S. S. Huebner Foundation for Insurance Education at the University of Pennsylvania's Wharton School made this book possible by financing publication costs. We are grateful for this assistance and to J. David Cummins, Executive Director of the Foundation, for his efforts and helpful advice on the contents. We also wish to thank all of the authors and editors who provided permission to reprint articles and our respective institutions for technical and financial support.