Optimal Per Loss Reinsurance And Investment Problem Under Negative Correlation Assumption

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Optimal Per-Loss Reinsurance and Investment Problem Under Negative Correlation Assumption

Author : Fudong Wang
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)

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Book Synopsis Optimal Per-Loss Reinsurance and Investment Problem Under Negative Correlation Assumption by : Fudong Wang

Download or read book Optimal Per-Loss Reinsurance and Investment Problem Under Negative Correlation Assumption written by Fudong Wang and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we consider the optimal reinsurance and investment problem for the insurance company, where the insurer can purchase per-loss reinsurance and invest the surplus in a financial market, and the insurer's claim liabilities and capital gains in financial market are negatively correlated which makes our problems more complicated and challenging. We study two optimization problems: minimizing the probability of absolute ruin and maximizing the expected utility of the terminal wealth. By using the dynamic programming and Lagrange multiplier methods, we reduce the infinite-dimensional problem to the one-dimensional problem, and obtain the explicit form of the optimal reinsurance and investment strategies as well as the corresponding value functions. Furthermore, we investigate the impacts of the negative correlation on the optimal strategies, and find that they are totally different in these two problems. For the former, it strongly depends on the wealth level, which means that with the different wealth level, the negative correlation has different influence on the optimal results; but for the latter, both the retained claims and the amount invested in the risky asset increase as the negative correlation becomes stronger.

Reinsurance

Author : Hansjörg Albrecher
Publisher : John Wiley & Sons
ISBN 13 : 0470772689
Total Pages : 366 pages
Book Rating : 4.4/5 (77 download)

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Book Synopsis Reinsurance by : Hansjörg Albrecher

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.

The Financing of Catastrophe Risk

Author : Kenneth A. Froot
Publisher : University of Chicago Press
ISBN 13 : 0226266257
Total Pages : 490 pages
Book Rating : 4.2/5 (262 download)

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Book Synopsis The Financing of Catastrophe Risk by : Kenneth A. Froot

Download or read book The Financing of Catastrophe Risk written by Kenneth A. Froot and published by University of Chicago Press. This book was released on 2007-12-01 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is it possible that the insurance and reinsurance industries cannot handle a major catastrophe? Ten years ago, the notion that the overall cost of a single catastrophic event might exceed $10 billion was unthinkable. With ever increasing property-casualty risks and unabated growth in hazard-prone areas, insurers and reinsurers now envision the possibility of disaster losses of $50 to $100 billion in the United States. Against this backdrop, the capitalization of the insurance and reinsurance industries has become a crucial concern. While it remains unlikely that a single event might entirely bankrupt these industries, a big catastrophe could place firms under severe stress, jeopardizing both policy holders and investors and causing profound ripple effects throughout the U.S. economy. The Financing of Catastrophe Risk assembles an impressive roster of experts from academia and industry to explore the disturbing yet realistic assumption that a large catastrophic event is inevitable. The essays offer tangible means of both reassessing and raising the level of preparedness throughout the insurance and reinsurance industries.

Optimal Portfolios with Stochastic Interest Rates and Defaultable Assets

Author : Holger Kraft
Publisher : Springer Science & Business Media
ISBN 13 : 9783540212300
Total Pages : 190 pages
Book Rating : 4.2/5 (123 download)

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Book Synopsis Optimal Portfolios with Stochastic Interest Rates and Defaultable Assets by : Holger Kraft

Download or read book Optimal Portfolios with Stochastic Interest Rates and Defaultable Assets written by Holger Kraft and published by Springer Science & Business Media. This book was released on 2004-04-13 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The continuous-time portfolio problem consists of finding the optimal investment strategy of an investor. In the classical Merton problem the investor can allocate his funds to a riskless savings account and risky assets. However, to get explicit results, it is assumed that the interest rates are deterministic and that the assets are default free. In this monograph both assumptions are weakened: The author analyzes and solves portfolio problems with stochastic interest rates and with defaultable assets. Besides, he briefly discusses how portfolio problems with foreign assets can be handled. The focus of the monograph is twofold: On the one hand, the economical problems are carefully explained, on the other hand their formal solution is rigorously presented. For this reason the text should be of interest to researchers with a Finance background as well as to researchers with a more formal background who would like to see how mathematics is applied to portfolio theory. TOC:Preliminaries from Stochastics.- Optimal Portfolios with Stochastic Interest Rates.- Elasticity Approach to Portfolio Optimization.- Barrier Derivatives with Curved Boundaries.- Optimal Portfolios with Dafaultable Assets - A Firm Value Approach.- References.- Abbreviations.- Notations.

Insurance and Issues in Financial Soundness

Author : Nigel Davies
Publisher : International Monetary Fund
ISBN 13 : 1451856008
Total Pages : 45 pages
Book Rating : 4.4/5 (518 download)

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Book Synopsis Insurance and Issues in Financial Soundness by : Nigel Davies

Download or read book Insurance and Issues in Financial Soundness written by Nigel Davies and published by International Monetary Fund. This book was released on 2003-07-01 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper explores insurance as a source of financial system vulnerability. It provides a brief overview of the insurance industry and reviews the risks it faces, as well as several recent failures of insurance companies that had systemic implications. Assimilation of banking-type activities by life insurers appears to be the key systemic vulnerability. Building on this experience and the experience gained under the FSAP, the paper proposes key indicators that should be compiled and used for surveillance of financial soundness of insurance companies and the insurance sector as a whole.

Insurance Risk Models

Author : Harry H. Panjer
Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Insurance Risk Models by : Harry H. Panjer

Download or read book Insurance Risk Models written by Harry H. Panjer and published by . This book was released on 1992 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Macroprudential Solvency Stress Testing of the Insurance Sector

Author : Mr.Andreas A. Jobst
Publisher : International Monetary Fund
ISBN 13 : 149832455X
Total Pages : 84 pages
Book Rating : 4.4/5 (983 download)

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Book Synopsis Macroprudential Solvency Stress Testing of the Insurance Sector by : Mr.Andreas A. Jobst

Download or read book Macroprudential Solvency Stress Testing of the Insurance Sector written by Mr.Andreas A. Jobst and published by International Monetary Fund. This book was released on 2014-07-22 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last decade, stress testing has become a central aspect of the Fund’s bilateral and multilateral surveillance work. Recently, more emphasis has also been placed on the role of insurance for financial stability analysis. This paper reviews the current state of system-wide solvency stress tests for insurance based on a comparative review of national practices and the experiences from Fund’s FSAP program with the aim of providing practical guidelines for the coherent and consistent implementation of such exercises. The paper also offers recommendations on improving the current insurance stress testing approaches and presentation of results.

Mathematical Risk Analysis

Author : Ludger Rüschendorf
Publisher : Springer Science & Business Media
ISBN 13 : 364233590X
Total Pages : 414 pages
Book Rating : 4.6/5 (423 download)

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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.

Best's Insurance Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Best's Insurance Reports by :

Download or read book Best's Insurance Reports written by and published by . This book was released on 1998 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Credit Risk

Author : Darrell Duffie
Publisher : Princeton University Press
ISBN 13 : 1400829178
Total Pages : 415 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Credit Risk by : Darrell Duffie

Download or read book Credit Risk written by Darrell Duffie and published by Princeton University Press. This book was released on 2012-01-12 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The methodological rigor, scope, and sophistication of their state-of-the-art account is unparalleled, and its singularly in-depth treatment of pricing and credit derivatives further illuminates a problem that has drawn much attention in an era when financial institutions the world over are revising their credit management strategies. Duffie and Singleton offer critical assessments of alternative approaches to credit-risk modeling, while highlighting the strengths and weaknesses of current practice. Their approach blends in-depth discussions of the conceptual foundations of modeling with extensive analyses of the empirical properties of such credit-related time series as default probabilities, recoveries, ratings transitions, and yield spreads. Both the "structura" and "reduced-form" approaches to pricing defaultable securities are presented, and their comparative fits to historical data are assessed. The authors also provide a comprehensive treatment of the pricing of credit derivatives, including credit swaps, collateralized debt obligations, credit guarantees, lines of credit, and spread options. Not least, they describe certain enhancements to current pricing and management practices that, they argue, will better position financial institutions for future changes in the financial markets. Credit Risk is an indispensable resource for risk managers, traders or regulators dealing with financial products with a significant credit risk component, as well as for academic researchers and students.

Optimal Investment

Author : L. C. G. Rogers
Publisher : Springer Science & Business Media
ISBN 13 : 3642352022
Total Pages : 163 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Optimal Investment by : L. C. G. Rogers

Download or read book Optimal Investment written by L. C. G. Rogers and published by Springer Science & Business Media. This book was released on 2013-01-10 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readers of this book will learn how to solve a wide range of optimal investment problems arising in finance and economics. Starting from the fundamental Merton problem, many variants are presented and solved, often using numerical techniques that the book also covers. The final chapter assesses the relevance of many of the models in common use when applied to data.

Social Reinsurance

Author : David M. Dror
Publisher : World Bank Publications
ISBN 13 : 9780821350416
Total Pages : 548 pages
Book Rating : 4.3/5 (54 download)

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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.

Mathematical Methods in Risk Theory

Author : Hans Bühlmann
Publisher : Springer Science & Business Media
ISBN 13 : 3540307117
Total Pages : 218 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Mathematical Methods in Risk Theory by : Hans Bühlmann

Download or read book Mathematical Methods in Risk Theory written by Hans Bühlmann and published by Springer Science & Business Media. This book was released on 2007-06-15 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The huge literature in risk theory has been carefully selected and supplemented by personal contributions of the author, many of which appear here for the first time. The result is a systematic and very readable book, which takes into account the most recent developments of the field. It will be of great interest to the actuary as well as to the statistician . . ." -- Math. Reviews Vol. 43

Best's Insurance Reports, Property-casualty

Author :
Publisher :
ISBN 13 :
Total Pages : 2912 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Best's Insurance Reports, Property-casualty by :

Download or read book Best's Insurance Reports, Property-casualty written by and published by . This book was released on 2002 with total page 2912 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ruin Probabilities

Author : S?ren Asmussen
Publisher : World Scientific
ISBN 13 : 9814282529
Total Pages : 621 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Ruin Probabilities by : S?ren Asmussen

Download or read book Ruin Probabilities written by S?ren Asmussen and published by World Scientific. This book was released on 2010 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a comprehensive treatment of the classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the Cramr?Lundberg approximation, exact solutions, other approximations (e.g., for heavy-tailed claim size distributions), finite horizon ruin probabilities, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation, periodicity, change of measure techniques, phase-type distributions as a computational vehicle and the connection to other applied probability areas, like queueing theory. In this substantially updated and extended second version, new topics include stochastic control, fluctuation theory for Levy processes, Gerber?Shiu functions and dependence.

IFRS 4 Insurance Contracts

Author : International Accounting Standards Board
Publisher :
ISBN 13 : 9781904230496
Total Pages : 46 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis IFRS 4 Insurance Contracts by : International Accounting Standards Board

Download or read book IFRS 4 Insurance Contracts written by International Accounting Standards Board and published by . This book was released on 2004 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Catastrophe Risk Financing in Developing Countries

Author : J. David Cummins
Publisher : World Bank Publications
ISBN 13 : 0821377361
Total Pages : 299 pages
Book Rating : 4.8/5 (213 download)

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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.