Download or read book Stochastic Optimal Portfolios and Life Insurance Problems in a L vy Market written by Calisto Justino Guambe and published by . This book was released on 2018 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis solves various optimal investment, consumption and life insurance problems described by jump-diffusion processes. In the first part of the thesis, we solve an optimal investment, consumption, and life insurance problem when the investor is restricted to capital guarantee. We consider an incomplete market described by a jump-diffusion model with stochastic volatility. Using the martingale approach, we prove the existence of the optimal strategy and the optimal martingale measure and we obtain the explicit solutions for the power utility functions. Secondly, we prove the sufficient and necessary maximum principle for the similar problem proposed in the first part. Then we apply the results to solve an investment, consumption, and life insurance problem with stochastic volatility, that is, we consider a wage earner investing in one risk-free asset and one risky asset described by a jump-diffusion process and has to decide concerning consumption and life insurance purchase. We assume that the life insurance for the wage earner is bought from a market composed of M > 0 life insurance companies offering pairwise distinct life insurance contracts. The goal is to maximize the expected utilities derived from the consumption, the legacy in the case of a premature death and the investor's terminal wealth. The third part discusses an optimal investment, consumption and insurance problem of a wage earner under inflation. Assume a wage earner investing in a real money account and three asset prices, namely: a real zero coupon bond, the inflation-linked real money account and a risky share described by jump-diffusion processes. Using the theory of quadratic-exponential backward stochastic differential equation (BSDE) with jumps approach, we derive the optimal strategy for the two typical utilities (exponential and power) and the value function is characterized as a solution of BSDE with jumps. The explicit solutions for the optimal investment in both cases of exponential and power utility functions for a diffusion case are derived.

Download or read book Stochastic Optimal Portfolios and Life Insurance Problems in a Le vy Market written by Calisto Guambe and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis solves various optimal investment, consumption and life insurance problems described by jump-diffusion processes. In the first part of the thesis, we solve an optimal investment, consumption, and life insurance problem when the investor is restricted to capital guarantee. We consider an incomplete market described by a jump-diffusion model with stochastic volatility. Using the martingale approach, we prove the existence of the optimal strategy and the optimal martingale measure and we obtain the explicit solutions for the power utility functions. Secondly, we prove the sufficient and necessary maximum principle for the similar problem proposed in the first part. Then we apply the results to solve an investment, consumption, and life insurance problem with stochastic volatility, that is, we consider a wage earner investing in one risk-free asset and one risky asset described by a jump-diffusion process and has to decide concerning consumption and life insurance purchase. We assume that the life insurance for the wage earner is bought from a market composed of M > 0 life insurance companies offering pairwise distinct life insurance contracts. The goal is to maximize the expected utilities derived from the consumption, the legacy in the case of a premature death and the investor's terminal wealth. The third part discusses an optimal investment, consumption and insurance problem of a wage earner under inflation. Assume a wage earner investing in a real money account and three asset prices, namely: a real zero coupon bond, the inflation-linked real money account and a risky share described by jump-diffusion processes. Using the theory of quadratic-exponential backward stochastic differential equation (BSDE) with jumps approach, we derive the optimal strategy for the two typical utilities (exponential and power) and the value function is characterized as a solution of BSDE with jumps. The explicit solutions for the optimal investment in both cases of exponential and power utility functions for a diffusion case are derived.

Download or read book Optimal Portfolios written by Ralf Korn and published by World Scientific. This book was released on 1997 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of the book is the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. It begins by presenting the complete Black-Scholes type model and then moves on to incomplete models and models including constraints and transaction costs. The models and methods presented will include the stochastic control method of Merton, the martingale method of Cox-Huang and Karatzas et al., the log optimal method of Cover and Jamshidian, the value-preserving model of Hellwig etc.

Download or read book Optimal Investment Consumption and Life Insurance in a L vy Market written by Calisto Justino Guambe and published by . This book was released on 2015 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this dissertation is to solve an optimal investment, consumption and life insurance problem described by jump-diffusion processes in two settings. First, we consider a problem with random parameters of a wage earner who wants to save to his beneficiary for his death. Using one risk-free asset and one risky asset price given by a geometric jump-diffusion process, we obtain the optimal strategy via the dynamic programming approach, combining the Hamilton-Jacobi-Bellman equation with a backward stochastic differential equation with jumps. Secondly, we discuss the optimal investment, consumption and life insurance problem with capital constraints. The problem consists of one risk-free asset and two risky asset prices defined in an independent Brownian motion and Poisson process. We derive the optimal strategy of the unconstrained problem via martingale approach, from which, the problem with capital constraint is solved applying the option based portfolio insurance method.

Download or read book Responsible Investments in Life Insurers Optimal Portfolios Under Solvency Constraints written by Sebastian Schlütter and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Socially responsible investing (SRI) continues to gain momentum in the financial market space for various reasons, starting with the looming effect of climate change and the drive toward a net-zero economy. Existing SRI approaches have included environmental, social, and governance (ESG) criteria as a further dimension to portfolio selection, but these approaches focus on classical investors and do not account for specific aspects of insurance companies. In this paper, we consider the stock selection problem of life insurance companies. In addition to stock risk, our model set-up includes other important market risk categories of insurers, namely interest rate risk and credit risk. In line with common standards in insurance solvency regulation, such as Solvency II, we measure risk using the solvency ratio, i.e. the ratio of the insurer's market-based equity capital to the Value-at-Risk of all modeled risk categories. As a consequence, we employ a modification of Markowitz's Portfolio Selection Theory by choosing the "solvency ratio" as a downside risk measure to obtain a feasible set of optimal portfolios in a three-dimensional (risk, return, and ESG) capital allocation plane. We find that for a given solvency ratio, stock portfolios with a moderate ESG level can lead to a higher expected return than those with a low ESG level. A highly ambitious ESG level, however, reduces the expected return. Because of the specific nature of a life insurer's business model, the impact of the ESG level on the expected return of life insurers can substantially differ from the corresponding impact for classical investors.

Download or read book Dynamic Portfolio Choice with Stochastic Wage and Life Insurance written by Xudong Zeng and published by . This book was released on 2015 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study optimal insurance, consumption and portfolio choice in a framework where a family purchases life insurance to protect the loss of the wage earner's human capital. Explicit solutions are obtained by employing CARA utility functions. We show that the optimal life insurance purchase is not a monotonic function of the correlation between the wage and the financial market. Meanwhile, the life insurance is explicitly affected by the family's risk preferences in general. The model also predicts that a family uses the life insurance and the investment together to hedge the risk from the stochastic wage.

Download or read book Handbook of Asset and Liability Management written by Stavros A. Zenios and published by Elsevier. This book was released on 2007-08-08 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbooks in Finance are intended to be a definitive source for comprehensive and accessible information in the field of finance. Each individual volume in the series presents an accurate self-contained survey of a sub-field of finance, suitable for use by finance and economics professors and lecturers, professional researchers, graduate students and as a teaching supplement. It is fitting that the series Handbooks in Finance devotes a handbook to Asset and Liability Management. Volume 2 focuses on applications and case studies in asset and liability management.The growth in knowledge about practical asset and liability modeling has followed the popularity of these models in diverse business settings. This volume portrays ALM in practice, in contrast to Volume 1, which addresses the theories and methodologies behind these models. In original articles practitioners and scholars describe and analyze models used in banking, insurance, money management, individual investor financial planning, pension funds, and social security. They put the traditional purpose of ALM, to control interest rate and liquidity risks, into rich and broad-minded frameworks. Readers interested in other business settings will find their discussions of financial institutions both instructive and revealing.* Focuses on pragmatic applications * Relevant to a variety of risk-management industries* Analyzes models used in most financial sectors

Download or read book Stochastic Control in Insurance written by Hanspeter Schmidli and published by Springer. This book was released on 2009-10-12 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Yet again, here is a Springer volume that offers readers something completely new. Until now, solved examples of the application of stochastic control to actuarial problems could only be found in journals. Not any more: this is the first book to systematically present these methods in one volume. The author starts with a short introduction to stochastic control techniques, then applies the principles to several problems. These examples show how verification theorems and existence theorems may be proved, and that the non-diffusion case is simpler than the diffusion case. Schmidli’s brilliant text also includes a number of appendices, a vital resource for those in both academic and professional settings.

Download or read book Optimal Portfolio Selection with Life Insurance Under Inflation Risk written by Minsuk Kwak and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper investigates a continuous-time optimal consumption, investment, and life insurance decision problem of a family under inflation risk. In the financial market, there is a liquid inflation-linked index bond market which can be utilized to hedge the inflation risk. The explicit solutions for the optimal strategies including consumption rate, investment for each financial asset, and life insurance premium are derived for constant relative risk aversion (CRRA) utility case using martingale approach. The roles of an index bond are investigated and it is verified that they depend on market parameters. We analyze the effects of market parameters on the optimal strategies with focus on the demand for index bond and optimal life insurance premium. Especially, the change of inflation rate has considerable impact on optimal life insurance premium.

Download or read book Disaster Risk Reduction and Resilience written by Muneta Yokomatsu and published by Springer Nature. This book was released on 2020-07-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides insight on how disaster risk management can increase the resilience of society to various natural hazards. The multi-dimensionality of resilience and the various different perspectives in regards to disaster risk reduction are taken explicitly into account by providing studies and approaches on different scales and ranging from natural science based methods to social science frameworks. For all chapters, special emphasis is placed on implementation aspects and specifically in regards to the targets and priorities for action laid out in the Sendai Framework for Disaster Risk Reduction. The chapters provide also a starting point for interested readers on specific issues of resilience and therefore include extensive reference material and important future directions for research.

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Applied Stochastic Control of Jump Diffusions written by Bernt Øksendal and published by Springer Science & Business Media. This book was released on 2007-04-26 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and its applications. Discussion includes the dynamic programming method and the maximum principle method, and their relationship. The text emphasises real-world applications, primarily in finance. Results are illustrated by examples, with end-of-chapter exercises including complete solutions. The 2nd edition adds a chapter on optimal control of stochastic partial differential equations driven by Lévy processes, and a new section on optimal stopping with delayed information. Basic knowledge of stochastic analysis, measure theory and partial differential equations is assumed.

Download or read book Valuation Of Equity Securities History Theory And Application written by Poitras Geoffrey and published by World Scientific Publishing Company. This book was released on 2010-12-21 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and rigorous treatment of academic and practitioner approaches to equity security valuation. Guided by historical and philosophical insights, conventional academic wisdom surrounding the ergodic properties of stochastic processes is challenged. In addition, the implications of a general stochastic interpretation of equity security valuation are provided. Valuation of Equity Securities will also be a good reference source for students and professionals interested in the theoretical and practical applications of equity securities.

Download or read book Modeling Dynamics Optimization and Bioeconomics IV written by Alberto Pinto and published by Springer Nature. This book was released on 2021-09-29 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, following the three published volumes of the book, provides the main purpose to collect research papers and review papers to provide an overview of the main issues, results, and open questions in the cutting-edge research on the fields of modeling, optimization, and dynamics and their applications to biology, economy, energy, industry, physics, psychology and finance. Assuming the scientific relevance of the presenting innovative applications as well as merging issues in these areas, the purpose of this book is to collect papers of the world experts in mathematics, economics, and other applied sciences that is seminal to the future research developments. The majority of the papers presented in this book is authored by the participants in The Joint Meeting 6th International Conference on Dynamics, Games, and Science – DGSVI – JOLATE and in the 21st ICABR Conference. The scientific scope of the conferences is focused on the fields of modeling, optimization, and dynamics and their applications to biology, economy, energy, industry, physics, psychology, and finance. Assuming the scientific relevance of the presenting innovative applications as well as merging issues in these areas, the purpose of the conference is to bring together some of the world experts in mathematics, economics, and other applied sciences that reinforce ongoing projects and establish future works and collaborations.

Download or read book Finance Literature Index written by and published by . This book was released on 1994 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Advanced Financial Modelling written by Hansjörg Albrecher and published by Walter de Gruyter. This book was released on 2009 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book is a collection of state-of-the-art surveys on various topics in mathematical finance, with an emphasis on recent modelling and computational approaches. The volume is related to a a ~Special Semester on Stochastics with Emphasis on Financea (TM) that took place from September to December 2008 at the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences in Linz, Austria