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Marginal Indemnification Function Formulation For Optimal Reinsurance
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Book Synopsis Marginal Indemnification Function Formulation for Optimal Reinsurance by : Sheng Chao Zhuang
Download or read book Marginal Indemnification Function Formulation for Optimal Reinsurance written by Sheng Chao Zhuang and published by . This book was released on 2017 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we propose to combine the Marginal Indemnification Function (MIF) formulation and the Lagrangian dual method to solve optimal reinsurance model with distortion risk measure and distortion reinsurance premium principle. The MIF method exploits the absolute continuity of admissible indemnification functions and formulates optimal reinsurance model into a functional linear programming of determining an optimal measurable function valued over a bounded interval. The MIF method was recently introduced to analyze the reinsurance model but without premium budget constraint. In this paper, a Lagrangian dual method is applied to combine with MIF to solve for optimal reinsurance solutions under premium budget constraint. Compared with the existing literature, the proposed integrated MIF-based Lagrangian dual method provides a more technically convenient and transparent solution to the optimal reinsurance design. To demonstrate the practicality of the proposed method, analytical solution is derived on a particular reinsurance model that involves minimizing Conditional Value at Risk (a special case of distortion function) and with the reinsurance premium being determined by the inverse-S shaped distortion principle.
Book Synopsis On Optimal Reinsurance Policy with Distortion Risk Measures and Premiums by : Hirbod Assa
Download or read book On Optimal Reinsurance Policy with Distortion Risk Measures and Premiums written by Hirbod Assa and published by . This book was released on 2014 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we consider the problem of optimal reinsurance design, when the risk is measured by a distortion risk measure and the premium is given by a distortion risk premium. First, we show how the optimal reinsurance design for the ceding company, the reinsurance company and the social planner can be formulated in the same way. Second, by introducing the “marginal indemnification functions”, we characterize the optimal reinsurance contracts. We show that, for an optimal policy, the associated marginal indemnification function only takes the values zero and one. We will see how the roles of the market preferences and premiums and that of the total risk are separated.
Download or read book Reinsurance written by Hansjörg Albrecher and published by John Wiley & Sons. This book was released on 2017-11-06 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reinsurance: Actuarial and Statistical Aspects provides a survey of both the academic literature in the field as well as challenges appearing in reinsurance practice and puts the two in perspective. The book is written for researchers with an interest in reinsurance problems, for graduate students with a basic knowledge of probability and statistics as well as for reinsurance practitioners. The focus of the book is on modelling together with the statistical challenges that go along with it. The discussed statistical approaches are illustrated alongside six case studies of insurance loss data sets, ranging from MTPL over fire to storm and flood loss data. Some of the presented material also contains new results that have not yet been published in the research literature. An extensive bibliography provides readers with links for further study.
Book Synopsis Optimal Insurance and Generalized Deductibles by : Kenneth Joseph Arrow
Download or read book Optimal Insurance and Generalized Deductibles written by Kenneth Joseph Arrow and published by . This book was released on 1973 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Insurance by : Georges Dionne
Download or read book Handbook of Insurance written by Georges Dionne and published by Springer Science & Business Media. This book was released on 2013-12-02 with total page 1133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the Handbook of Insurance reviews the last forty years of research developments in insurance and its related fields. A single reference source for professors, researchers, graduate students, regulators, consultants and practitioners, the book starts with the history and foundations of risk and insurance theory, followed by a review of prevention and precaution, asymmetric information, risk management, insurance pricing, new financial innovations, reinsurance, corporate governance, capital allocation, securitization, systemic risk, insurance regulation, the industrial organization of insurance markets and other insurance market applications. It ends with health insurance, longevity risk, long-term care insurance, life insurance financial products and social insurance. This second version of the Handbook contains 15 new chapters. Each of the 37 chapters has been written by leading authorities in risk and insurance research, all contributions have been peer reviewed, and each chapter can be read independently of the others.
Book Synopsis Social Reinsurance by : David M. Dror
Download or read book Social Reinsurance written by David M. Dror and published by World Bank Publications. This book was released on 2002-01-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This volume views community-based microinsurance as an incremental first step to improved financial protection and better access to health services for the poor. While community-based financing can be structured in various ways, this volume focuses on reinsurance as a mechanism for improving micro-level health insurance units. It outlines strategies and policies that can be applied by countries and donors to improve access to health care services.
Book Synopsis The Microeconomics of Insurance by : Ray Rees
Download or read book The Microeconomics of Insurance written by Ray Rees and published by Now Publishers Inc. This book was released on 2008 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this relatively short survey, we present the core elements of the microeconomic analysis of insurance markets at a level suitable for senior undergraduate and graduate economics students. The aim of this analysis is to understand how insurance markets work, what their fundamental economic functions are, and how efficiently they may be expected to carry these out.
Book Synopsis Mathematical Risk Analysis by : Ludger Rüschendorf
Download or read book Mathematical Risk Analysis written by Ludger Rüschendorf and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author's particular interest in the area of risk measures is to combine this theory with the analysis of dependence properties. The present volume gives an introduction of basic concepts and methods in mathematical risk analysis, in particular of those parts of risk theory that are of special relevance to finance and insurance. Describing the influence of dependence in multivariate stochastic models on risk vectors is the main focus of the text that presents main ideas and methods as well as their relevance to practical applications. The first part introduces basic probabilistic tools and methods of distributional analysis, and describes their use to the modeling of dependence and to the derivation of risk bounds in these models. In the second, part risk measures with a particular focus on those in the financial and insurance context are presented. The final parts are then devoted to applications relevant to optimal risk allocation, optimal portfolio problems as well as to the optimization of insurance contracts. Good knowledge of basic probability and statistics as well as of basic general mathematics is a prerequisite for comfortably reading and working with the present volume, which is intended for graduate students, practitioners and researchers and can serve as a reference resource for the main concepts and techniques.
Book Synopsis Actuarial Theory for Dependent Risks by : Michel Denuit
Download or read book Actuarial Theory for Dependent Risks written by Michel Denuit and published by John Wiley & Sons. This book was released on 2006-05-01 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The increasing complexity of insurance and reinsurance products has seen a growing interest amongst actuaries in the modelling of dependent risks. For efficient risk management, actuaries need to be able to answer fundamental questions such as: Is the correlation structure dangerous? And, if yes, to what extent? Therefore tools to quantify, compare, and model the strength of dependence between different risks are vital. Combining coverage of stochastic order and risk measure theories with the basics of risk management and stochastic dependence, this book provides an essential guide to managing modern financial risk. * Describes how to model risks in incomplete markets, emphasising insurance risks. * Explains how to measure and compare the danger of risks, model their interactions, and measure the strength of their association. * Examines the type of dependence induced by GLM-based credibility models, the bounds on functions of dependent risks, and probabilistic distances between actuarial models. * Detailed presentation of risk measures, stochastic orderings, copula models, dependence concepts and dependence orderings. * Includes numerous exercises allowing a cementing of the concepts by all levels of readers. * Solutions to tasks as well as further examples and exercises can be found on a supporting website. An invaluable reference for both academics and practitioners alike, Actuarial Theory for Dependent Risks will appeal to all those eager to master the up-to-date modelling tools for dependent risks. The inclusion of exercises and practical examples makes the book suitable for advanced courses on risk management in incomplete markets. Traders looking for practical advice on insurance markets will also find much of interest.
Download or read book Life Insurance Fact Book written by and published by . This book was released on 1959 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Insurance Against Covariate Shocks by : Harold Alderman
Download or read book Insurance Against Covariate Shocks written by Harold Alderman and published by World Bank Publications. This book was released on 2007 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uninsured risk had far-reaching consequences for rural growth as well as poverty reduction. A range of informal mechanisms to insure rural households against the impact of shocks, but they are a modest component of a risk layering strategy for well-off households and even less protective for low-income households. Formal insurance mechanisms have inherent market imperfections. State interventions to address these limitations have proven costly and generally are targeted poorly. Recent developments in microfinance as well as in insurance marketing have opened new possibilities for household risk reduction. Index insurance, such as weather indexing, addresses other inherent problems in insurance by using an indicator that is not affected by individual behaviour and may address monitoring costs and moral hazard. A number of innovations using index insurance are being tried currently in diverse settings ranging from India to Mongolia to Malawi. Marketing costs may limit the provision of such insurance to small farmers, but even in such cases microfinance institutes may serve as market intermediaries. Moreover, state and submational governments can use insurance to achieve countercyclical funding programs. In this vein, municipal governments in Mexico have used insurance to finance disaster contingency while the World Food Program has insured a portion of its emergency assistance to Ethiopia. Humanitarian organizations and NGOs may also seek insurance in this manner.
Book Synopsis Catastrophe Risk Financing in Developing Countries by : J. David Cummins
Download or read book Catastrophe Risk Financing in Developing Countries written by J. David Cummins and published by World Bank Publications. This book was released on 2009 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Catastrophe Risk Financing in Developing Countries' provides a detailed analysis of the imperfections and inefficiencies that impede the emergence of competitive catastrophe risk markets in developing countries. The book demonstrates how donors and international financial institutions can assist governments in middle- and low-income countries in promoting effective and affordable catastrophe risk financing solutions. The authors present guiding principles on how and when governments, with assistance from donors and international financial institutions, should intervene in catastrophe insurance markets. They also identify key activities to be undertaken by donors and institutions that would allow middle- and low-income countries to develop competitive and cost-effective catastrophe risk financing strategies at both the macro (government) and micro (household) levels. These principles and activities are expected to inform good practices and ensure desirable results in catastrophe insurance projects. 'Catastrophe Risk Financing in Developing Countries' offers valuable advice and guidelines to policy makers and insurance practitioners involved in the development of catastrophe insurance programs in developing countries.
Book Synopsis Shock Waves by : Stephane Hallegatte
Download or read book Shock Waves written by Stephane Hallegatte and published by World Bank Publications. This book was released on 2015-11-23 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ending poverty and stabilizing climate change will be two unprecedented global achievements and two major steps toward sustainable development. But the two objectives cannot be considered in isolation: they need to be jointly tackled through an integrated strategy. This report brings together those two objectives and explores how they can more easily be achieved if considered together. It examines the potential impact of climate change and climate policies on poverty reduction. It also provides guidance on how to create a “win-win†? situation so that climate change policies contribute to poverty reduction and poverty-reduction policies contribute to climate change mitigation and resilience building. The key finding of the report is that climate change represents a significant obstacle to the sustained eradication of poverty, but future impacts on poverty are determined by policy choices: rapid, inclusive, and climate-informed development can prevent most short-term impacts whereas immediate pro-poor, emissions-reduction policies can drastically limit long-term ones.
Book Synopsis Protecting The Poor: A Microinsurance Compendium by : Craig Churchill
Download or read book Protecting The Poor: A Microinsurance Compendium written by Craig Churchill and published by Academic Foundation. This book was released on 2008 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Convex Analysis in General Vector Spaces by : C. Zalinescu
Download or read book Convex Analysis in General Vector Spaces written by C. Zalinescu and published by World Scientific. This book was released on 2002 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary aim of this book is to present the conjugate and sub/differential calculus using the method of perturbation functions in order to obtain the most general results in this field. The secondary aim is to provide important applications of this calculus and of the properties of convex functions. Such applications are: the study of well-conditioned convex functions, uniformly convex and uniformly smooth convex functions, best approximation problems, characterizations of convexity, the study of the sets of weak sharp minima, well-behaved functions and the existence of global error bounds for convex inequalities, as well as the study of monotone multifunctions by using convex functions.
Book Synopsis Proceedings of the Casualty Actuarial Society by : Casualty Actuarial Society
Download or read book Proceedings of the Casualty Actuarial Society written by Casualty Actuarial Society and published by . This book was released on 1999 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: List of members for the years 1914-20 are included in v. 1-7, after which they are continued in the Year book of the society, begun in 1922.
Book Synopsis Foundations of Casualty Actuarial Science by :
Download or read book Foundations of Casualty Actuarial Science written by and published by . This book was released on 1996 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
