Time Consistent Investment Reinsurance Strategy For Mean Variance Insurers With A Defaultable Security

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Time-Consistent Investment-Reinsurance Strategy for Mean-Variance Insurers With a Defaultable Security

Author : Hui Zhao
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Time-Consistent Investment-Reinsurance Strategy for Mean-Variance Insurers With a Defaultable Security by : Hui Zhao

Download or read book Time-Consistent Investment-Reinsurance Strategy for Mean-Variance Insurers With a Defaultable Security written by Hui Zhao and published by . This book was released on 2015 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper considers an optimal investment and reinsurance problem involving a defaultable security for an insurer under the mean-variance criterion in a jump-diffusion risk model. The insurer is allowed to purchase proportional reinsurance or acquire new business and invest in a financial market consisting of a risk-free bank account, a stock and a defaultable bond. From a game theoretic perspective, the extended Hamilton-Jacobi-Bellman systems are established for the post-default case and the pre-default case, respectively. Furthermore, for the two cases, closed-form expressions for the optimal time-consistent investment-reinsurance strategies and the corresponding optimal value functions are derived, and some properties of the strategies are analyzed. Finally, some special cases of our model are presented, and numerical analysis is provided to illustrate our results.

Time-Consistent Investment and Reinsurance Strategies for Insurers Under Multi-Period Mean-Variance Formulation with Generalized Correlated Returns

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Author : Zhongbao Zhou
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Time-Consistent Investment and Reinsurance Strategies for Insurers Under Multi-Period Mean-Variance Formulation with Generalized Correlated Returns by : Zhongbao Zhou

Download or read book Time-Consistent Investment and Reinsurance Strategies for Insurers Under Multi-Period Mean-Variance Formulation with Generalized Correlated Returns written by Zhongbao Zhou and published by . This book was released on 2020 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The existing literature on investment and reinsurance is limited to the study of continuous-time problems, while discrete-time problems are always ignored by researchers. In this study, we first discuss a multi-period investment and reinsurance optimization problem under the classical mean-variance framework. When the asset returns with a serially correlated structure, the time-consistent investment and reinsurance strategies are acquired via backward induction. In addition, we propose an alternative time-consistent mean-variance optimization model that contrasts with the classical mean-variance model, and the corresponding optimal strategy and value function are also derived. We find that the investment and reinsurance strategies are both independent of the current wealth for the above two optimization problems, which coincides with the conclusion presented in the continuous-time problems. Most importantly, the above investment strategies with serially correlated structures are both conditional mean-based strategies, rather than unconditional ones. Finally, we compare the investment and reinsurance strategies suggested above based on the simulation approach, to shed light on which investment-reinsurance strategies are more suitable for insurers.

Time-Consistent Mean-Variance Reinsurance-Investment Problems Under Unbounded Random Parameters

Author : Bingyan Han
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Time-Consistent Mean-Variance Reinsurance-Investment Problems Under Unbounded Random Parameters by : Bingyan Han

Download or read book Time-Consistent Mean-Variance Reinsurance-Investment Problems Under Unbounded Random Parameters written by Bingyan Han and published by . This book was released on 2019 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: To strike the best balance between insurance risk and profit, insurers transfer insurable risk through reinsurance and enhance yield by participating into the financial market. The long-term commitment of insurance contracts makes insurers necessary to consider time-consistent (TC) reinsurance-investment policies. Using the open-loop TC mean-variance (MV) reinsurance-investment framework, we investigate the equilibrium reinsurance-investment problems for the financial market with unbounded random coefficients or, specifically, an unbounded risk premium. We characterize the problem via a backward stochastic differential equation (BSDE) framework. An explicit solution to the equilibrium strategies is derived for a constant risk aversion under a general class of stochastic models, embracing the constant elasticity of variance (CEV) and Ornstein-Uhlenbeck (OU) processes as special cases. For state-dependent risk aversions, the problem is related to the existence of a solution to a quadratic BSDE with unbounded parameters. A semi-closed form solution is derived, up to the solution to a nonlinear partial differential equation. By examining properties of the equilibrium strategies numerically, we find that the reinsurance decision is greatly affected by the market situation under the state-dependent risk aversion case. We prove the uniqueness of equilibrium strategies for both cases.

Time-Consistent Investment-Reinsurance Strategies Towards Joint Interests of the Insurer and the Reinsurer Under CEV Models

Author : Hui Zhao
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Time-Consistent Investment-Reinsurance Strategies Towards Joint Interests of the Insurer and the Reinsurer Under CEV Models by : Hui Zhao

Download or read book Time-Consistent Investment-Reinsurance Strategies Towards Joint Interests of the Insurer and the Reinsurer Under CEV Models written by Hui Zhao and published by . This book was released on 2017 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present paper studies time-consistent solutions to an investment-reinsurance problem under a mean-variance framework. The paper is distinguished from other literature by taking into account the interests of both an insurer and a reinsurer jointly. The claim process of the insurer is governed by a Brownian motion with a drift. A proportional reinsurance treaty is considered and the premium is calculated according to the expected value principle. Both the insurer and the reinsurer are assumed to invest in a risky asset, which is distinct for each other and driven by a constant elasticity of variance model. The optimal decision is formulated on a weighted sum of the insurer's and the reinsurer's surplus processes. Upon a verification theorem, which is established with a formal proof for a more general problem, explicit solutions are obtained for the proposed investment-reinsurance model. Moreover, numerous mathematical analysis and numerical examples are provided to demonstrate those derived results as well as the economic implications behind.

Robust Equilibrium Excess-of-Loss Reinsurance and CDS Investment Strategies for a Mean-Variance Insurer with Ambiguity Aversion

Author : Hui Zhao
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Robust Equilibrium Excess-of-Loss Reinsurance and CDS Investment Strategies for a Mean-Variance Insurer with Ambiguity Aversion by : Hui Zhao

Download or read book Robust Equilibrium Excess-of-Loss Reinsurance and CDS Investment Strategies for a Mean-Variance Insurer with Ambiguity Aversion written by Hui Zhao and published by . This book was released on 2018 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper considers the robust equilibrium reinsurance and investment strategies for an ambiguity-averse insurer under a dynamic mean-variance criterion. The insurer is allowed to purchase excess-of-loss reinsurance and invest in a financial market consisting of a risk-free asset and a credit default swap (CDS). Following a game theoretic approach, robust equilibrium strategies and equilibrium value functions for the pre-default case and the post-default case are derived, respectively. For the ambiguity-averse insurer, in general the equilibrium strategies can be characterized by unique solutions to some algebraic equations. For the degenerate case with an ambiguity-neutral insurer, closed-form expressions of equilibrium strategies and equilibrium value functions are obtained. Moreover, we provide a simple condition under which the insurer should hold long/short positions in the CDS. Numerical examples demonstrate that the consideration of model uncertainty and CDS investment improves the insurer's utility. In this regard, our paper establishes theoretical and numerical support for the importance of ambiguity aversion, credit risk and their interplay in insurance business.

Non-Zero-Sum Stochastic Differential Reinsurance and Investment Games with Default Risk

Author : Chao Deng
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Non-Zero-Sum Stochastic Differential Reinsurance and Investment Games with Default Risk by : Chao Deng

Download or read book Non-Zero-Sum Stochastic Differential Reinsurance and Investment Games with Default Risk written by Chao Deng and published by . This book was released on 2018 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper investigates implications of strategic interaction (competition) between two CARA insurers on their reinsurance and investment policies. The two insurers are concerned about their terminal wealth as well as the relative performance measured by the difference between their terminal wealth. The problem of finding optimal policies for the both insurers is modeled by a non-zero-sum stochastic differential game. We assume that the insurers can invest in a risky asset with Heston's stochastic volatility and a defautable corporate bond, and the reinsurance premium is calculated by the variance premium principle. We derive the Nash equilibrium reinsurance policy and investment policy explicitly for the game and prove the corresponding verification theorem. The equilibrium strategy indicates that the best response of each insurer to the competition is to mimic the strategy of its opponent. As a consequence, the reinsurance and investment strategy of an insurer with the relative performance concern is riskier than that without the concern. We illustrate our results by numerical examples.

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.

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.

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.

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.

Bond Portfolio Optimization

Author : Michael Puhle
Publisher : Springer Science & Business Media
ISBN 13 : 354076593X
Total Pages : 143 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Bond Portfolio Optimization by : Michael Puhle

Download or read book Bond Portfolio Optimization written by Michael Puhle and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book analyzes how modern portfolio theory and dynamic term structure models can be applied to government bond portfolio optimization problems. The author studies the necessary adjustments, examines the models with regard to the plausibility of their results and compares the outcomes to portfolio selection techniques used by practitioners. Both single-period and continuous-time bond portfolio optimization problems are considered.

Mean-Variance Analysis in Portfolio Choice and Capital Markets

Author : Harry M. Markowitz
Publisher : John Wiley & Sons
ISBN 13 : 9781883249755
Total Pages : 404 pages
Book Rating : 4.2/5 (497 download)

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Book Synopsis Mean-Variance Analysis in Portfolio Choice and Capital Markets by : Harry M. Markowitz

Download or read book Mean-Variance Analysis in Portfolio Choice and Capital Markets written by Harry M. Markowitz and published by John Wiley & Sons. This book was released on 2000-02-15 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1952, Harry Markowitz published "Portfolio Selection," a paper which revolutionized modern investment theory and practice. The paper proposed that, in selecting investments, the investor should consider both expected return and variability of return on the portfolio as a whole. Portfolios that minimized variance for a given expected return were demonstrated to be the most efficient. Markowitz formulated the full solution of the general mean-variance efficient set problem in 1956 and presented it in the appendix to his 1959 book, Portfolio Selection. Though certain special cases of the general model have become widely known, both in academia and among managers of large institutional portfolios, the characteristics of the general solution were not presented in finance books for students at any level. And although the results of the general solution are used in a few advanced portfolio optimization programs, the solution to the general problem should not be seen merely as a computing procedure. It is a body of propositions and formulas concerning the shapes and properties of mean-variance efficient sets with implications for financial theory and practice beyond those of widely known cases. The purpose of the present book, originally published in 1987, is to present a comprehensive and accessible account of the general mean-variance portfolio analysis, and to illustrate its usefulness in the practice of portfolio management and the theory of capital markets. The portfolio selection program in Part IV of the 1987 edition has been updated and contains exercises and solutions.

Investment Guarantees

Author : Mary Hardy
Publisher : John Wiley & Sons
ISBN 13 : 0471392901
Total Pages : 309 pages
Book Rating : 4.4/5 (713 download)

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Book Synopsis Investment Guarantees by : Mary Hardy

Download or read book Investment Guarantees written by Mary Hardy and published by John Wiley & Sons. This book was released on 2003-03-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to investment guarantees in equity-linked life insurance Due to the convergence of financial and insurance markets, new forms of investment guarantees are emerging which require financial service professionals to become savvier in modeling and risk management. With chapters that discuss stock return models, dynamic hedging, risk measures, Markov Chain Monte Carlo estimation, and much more, this one-stop reference contains the valuable insights and proven techniques that will allow readers to better understand the theory and practice of investment guarantees and equity-linked insurance policies. Mary Hardy, PhD (Waterloo, Ontario, Canada), is an Associate Professor and Associate Chair of Actuarial Science at the University of Waterloo and is a Fellow of the Institute of Actuaries and an Associate of the Society of Actuaries, where she is a frequent speaker. Her research covers topics in life insurance solvency and risk management, with particular emphasis on equity-linked insurance. Hardy is an Associate Editor of the North American Actuarial Journal and the ASTIN Bulletin and is a Deputy Editor of the British Actuarial Journal.

Risk and Return for Regulated Industries

Author : Bente Villadsen
Publisher : Academic Press
ISBN 13 : 0128125888
Total Pages : 362 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Risk and Return for Regulated Industries by : Bente Villadsen

Download or read book Risk and Return for Regulated Industries written by Bente Villadsen and published by Academic Press. This book was released on 2017-04-27 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk and Return for Regulated Industries provides a much-needed, comprehensive review of how cost of capital risk arises and can be measured, how the special risks regulated industries face affect fair return, and the challenges that regulated industries are likely to face in the future. Rather than following the trend of broad industry introductions or textbook style reviews of utility finance, it covers the topics of most interest to regulators, regulated companies, regulatory lawyers, and rate-of-return analysts in all countries. Accordingly, the book also includes case studies about various countries and discussions of the lessons international regulatory procedures can offer. - Presents a unified treatment of the regulatory principles and practices used to assess the required return on capital - Addresses current practices before exploring the ways methods play out in practice, including irregularities, shortcomings, and concerns for the future - Focuses on developed economies instead of providing a comprehensive global reviews - Foreword by Stewart C. Myers

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.

Global Financial Stability Report, April 2016

Author : International Monetary Fund. Monetary and Capital Markets Department
Publisher : International Monetary Fund
ISBN 13 : 1498363288
Total Pages : 135 pages
Book Rating : 4.4/5 (983 download)

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Book Synopsis Global Financial Stability Report, April 2016 by : International Monetary Fund. Monetary and Capital Markets Department

Download or read book Global Financial Stability Report, April 2016 written by International Monetary Fund. Monetary and Capital Markets Department and published by International Monetary Fund. This book was released on 2016-04-11 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current Global Financial Stability Report (April 2016) finds that global financial stability risks have risen since the last report in October 2015. The new report finds that the outlook has deteriorated in advanced economies because of heightened uncertainty and setbacks to growth and confidence, while declines in oil and commodity prices and slower growth have kept risks elevated in emerging markets. These developments have tightened financial conditions, reduced risk appetite, raised credit risks, and stymied balance sheet repair. A broad-based policy response is needed to secure financial stability. Advanced economies must deal with crisis legacy issues, emerging markets need to bolster their resilience to global headwinds, and the resilience of market liquidity should be enhanced. The report also examines financial spillovers from emerging market economies and finds that they have risen substantially. This implies that when assessing macro-financial conditions, policymakers may need to increasingly take into account economic developments in emerging market economies. Finally, the report assesses changes in the systemic importance of insurers, finding that across advanced economies the contribution of life insurers to systemic risk has increased in recent years. The results suggest that supervisors and regulators should take a more macroprudential approach to the sector.