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Target Benefit Pension with Longevity Risk and Stochastic Interest Rate

Target Benefit Pension with Longevity Risk and Stochastic Interest Rate
Author: Cheng Tao
Publisher:
Total Pages: 0
Release: 2023
Genre:
ISBN:
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This paper introduces a target benefit pension (TBP) model that incorporates longevity risk and stochastic interest rate. Previous models have not considered the dynamic nature of remaining lifetime, and this paper proposes an Ornstein-Uhlenbeck (OU) process to simulate average remaining lifetime. Additionally, the paper evaluates the annuity with stochastic interest rate and establishes an approximation of the overall profit of the pension fund. From the perspective of the pension fund, the paper allows for investment in both risk-free and risky assets and establishes a stochastic control problem. The control variables are the risky investment amount and the overall adjustment, and explicit expressions for the problem are obtained using Hamilton-Jacobi-Bellman methods. The study highlights the importance of the adjustment term in fighting inflation and shows the significant impact of longevity risk on pension funds. This study contributes to the TBP model by increasing its potential in intergenerational risk sharing and compensating for the disadvantage of fixed annuity that its real value declines due to inflation.

Pension Revolution

Pension Revolution
Author: Keith P. Ambachtsheer
Publisher: John Wiley & Sons
Total Pages: 252
Release: 2011-07-05
Genre: Business & Economics
ISBN: 1118160657
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Praise for Pension Revolution "When Keith Ambachtsheer puts his keen mind to work on a problem, watch out! Here he exposes today's fragile arrangements for the most serious social dilemma of our times--financing retirement. Then he provides a compelling and powerful set of solutions. His writings are essential reading for all who care about the future of American living standards." --Peter Bernstein, founder and President, Peter L. Bernstein, Inc., and author of Capital Ideas and Against the Gods "This book describes one of the most ingenious inventions in the history of mankind: pension funds offering credible promises about old-age income. It reads like a thriller: how can well-governed pension funds be created in an imperfect world in which mortals wrestle with foibles and moral shortcomings? One of the world's leading experts on pensions searches for the answer--and finds it." --Lans Bovenberg, Scientific Director, Network for Studies on Pensions, Aging, and Retirement, Tilburg University, The Netherlands "Pension Revolution exposes the inadequacies of current pension systems and persuasively makes the case for the fundamental changes that are needed. It is essential reading for both the pension industry and policymakers." --Elizabeth Bryan, Chair, Investment Committee, Unisuper Management PM Ltd, Australia "Most analyses of complicated issues deal with complexity by simplifying or only looking at one piece-part, and, in doing so, provide limited value. In stark contrast, Keith Ambachtsheer boldly wades into the complexity in Pension Revolution to come up with a valuable integrative solution. He is a most welcome revolutionary!" --Roger Martin, Dean, Joseph L. Rotman School of Management, University of Toronto, Canada "We have known Keith for over ten years, and consistently over that time, he has constructively and comprehensively challenged conventional wisdom. He has done this so effectively that many of his initial thoughts have now become universally accepted norms. Such is his energy however that he continues to push the boundaries of pension and investment thinking." --Peter Moon, Chief Investment Officer, Universities Superannuation Scheme Ltd, UK "Pension Revolution not only explains the shortcomings of the existing pension system and the underlying design features that have resulted in the current pension upheaval. It also offers thoughtful and creative suggestions for prospective pension design. A must-read for anyone interested in the future of retirement finance." --James Poterba, Professor of Economics, Massachusetts Institute of Technology and a member of the TIAA-CREF Board of Trustees

Modelling Longevity Dynamics for Pensions and Annuity Business

Modelling Longevity Dynamics for Pensions and Annuity Business
Author: Ermanno Pitacco
Publisher: OUP Oxford
Total Pages: 417
Release: 2009-01-29
Genre: Business & Economics
ISBN: 0191563153
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Mortality improvements, uncertainty in future mortality trends and the relevant impact on life annuities and pension plans constitute important topics in the field of actuarial mathematics and life insurance techniques. In particular, actuarial calculations concerning pensions, life annuities and other living benefits (provided, for example, by long-term care insurance products and whole life sickness covers) are based on survival probabilities which necessarily extend over a long time horizon. In order to avoid underestimation of the related liabilities, the insurance company (or the pension plan) must adopt an appropriate forecast of future mortality. Great attention is currently being devoted to the management of life annuity portfolios, both from a theoretical and a practical point of view, because of the growing importance of annuity benefits paid by private pension schemes. In particular, the progressive shift from defined benefit to defined contribution pension schemes has increased the interest in life annuities with a guaranteed annual amount. This book provides a comprehensive and detailed description of methods for projecting mortality, and an extensive introduction to some important issues concerning longevity risk in the area of life annuities and pension benefits. It relies on research work carried out by the authors, as well as on a wide teaching experience and in CPD (Continuing Professional Development) initiatives. The following topics are dealt with: life annuities in the framework of post-retirement income strategies; the basic mortality model; recent mortality trends that have been experienced; general features of projection models; discussion of stochastic projection models, with numerical illustrations; measuring and managing longevity risk.

Life Annuity Products and Their Guarantees

Life Annuity Products and Their Guarantees
Author: Collectif
Publisher: OECD
Total Pages: 108
Release: 2016-12-05
Genre: Business & Economics
ISBN: 9264267794
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This publication helps policy makers to better understand annuity products and the guarantees they provide in order to optimise the role that these products can play in financing retirement. Product design is a crucial factor in the potential role of annuity products within the pension system, along with the cost and demand for these products, and the resulting risks that are borne by the annuity providers. Increasingly complex products, however, pose additional challenges concerning consumer protection. Consumers need to be aware of their options and have access to unbiased and comprehensible advice and information about these products.

Old and New Perspectives on Mortality Forecasting

Old and New Perspectives on Mortality Forecasting
Author: Tommy Bengtsson
Publisher: Springer
Total Pages: 349
Release: 2019-03-28
Genre: Social Science
ISBN: 3030050750
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This open access book describes methods of mortality forecasting and discusses possible improvements. It contains a selection of previously unpublished and published papers, which together provide a state-of-the-art overview of statistical approaches as well as behavioural and biological perspectives. The different parts of the book provide discussions of current practice, probabilistic forecasting, the linearity in the increase of life expectancy, causes of death, and the role of cohort factors. The key question in the book is whether it is possible to project future mortality accurately, and if so, what is the best approach. This makes the book a valuable read to demographers, pension planners, actuaries, and all those interested and/or working in modelling and forecasting mortality.

Pension Mathematics with Numerical Illustrations

Pension Mathematics with Numerical Illustrations
Author: Howard E. Winklevoss
Publisher: University of Pennsylvania Press
Total Pages: 342
Release: 1993-03-29
Genre: Business & Economics
ISBN: 9780812231960
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A text that quantifies and provides new or improved actuarial notation for long recognized pension cost concepts and procedures and, in certain areas, develops new insights and techniques. With the exception of the first few chapters, the text is a virtual rewrite of the first edition of 1977. Among the major additions are chapters on statutory funding requirements, pension accounting, funding policy analysis, asset allocation, and retiree health benefits.

Pension Economics

Pension Economics
Author: David Blake
Publisher: John Wiley & Sons
Total Pages: 270
Release: 2006-11-02
Genre: Business & Economics
ISBN: 9780470058718
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While not attempting to train readers as professional economists, this book aims to provide a secure grounding in the theory and practice of economics insofar as it deals with pension matters. From reading this book, the user will understand: * The key types of pension scheme * The role of pensions in maximizing individual lifetime welfare * The role of pensions in individual savings and retirement decisions * The role and consequences of the pension plan from the company's viewpoint * The role of pensions in promoting aggregate savings * The role of pensions and retirement in overlapping generations models * The economics of ageing and intergenerational accounting * The social welfare implications of pensions * The lessons of behavioural economics for pensions

Evaluating the Financial Performance of Pension Funds

Evaluating the Financial Performance of Pension Funds
Author: Richard Hinz
Publisher: World Bank Publications
Total Pages: 300
Release: 2010-01-14
Genre: Business & Economics
ISBN: 0821381601
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Countries around the world are increasingly relying on individual pension savings accounts to provide income in old age for their citizens. Although these funds have now been in place for several decades, their performance is usually measured using methods that are not meaningful in relation to this long-term objective. The recent global financial crisis has highlighted the need to develop better performance evaluation methods that are consistent with the retirement income objective of pension funds. Compiling research derived from a partnership among the World Bank, the Organisation for Economic Co-operation and Development (OECD), and three private partners, 'Evaluating the Financial Performance of Pension Funds' discusses the theoretical basis and key implementation issues related to the design of performance benchmarks based on life-cycle savings and investment principles. The book begins with an evaluation of the financial performance of funded pension systems using the standard mean variance framework. It then provides a discussion of the limitations inherent to applying these methods to pension funds and outlines the many other issues that should be addressed in developing more useful and meaningful performance measures through the formulation of pension-specific benchmark portfolios. Practical implementation issues are addressed through empirical examples of how such benchmarks could be developed. The book concludes with commentary and observations from several noted pension experts about the need for a new approach to performance measurement and the impact of the recent global financial crisis on pension funds.

Nonfinancial Defined Contribution Pension Schemes in a Changing Pension World

Nonfinancial Defined Contribution Pension Schemes in a Changing Pension World
Author: Robert Holzmann
Publisher: World Bank Publications
Total Pages: 535
Release: 2012-11-01
Genre: Business & Economics
ISBN: 0821394797
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Nonfinancial Defined Contribution (NDC) schemes are now in their teens. The new pension concept was born in the early 1990s, implemented from the mid-1990s in Italy, Latvia, Poland and Sweden, legislated most recently in Norway and Egypt and serves as inspiration for other reform countries. This innovative unfunded individual account scheme created high hopes at a time when the world seemed to have been locked into a stalemate between piecemeal reforms of ailing traditional defined benefit schemes and introducing pre-funded financial account schemes. The experiences and conceptual issues of NDC in its childhood were reviewed in a prior anthology (Holzmann and Palmer, 2006). This new anthology published in 2 volumes serves to review its adolescence and with the aim of contributing to a successful adulthood. Volume 1 on Progress, Lessons, Implementation includes a detailed analysis of the experience and the key policy lessons in the old and new pilot countries and the implementation of NDCs elements in other reform countries. This volume 2 on Gender, Politics, Financial Stability includes deeper and new analyses of these issues that found little or no attention in the 2006 publication. The gender perspective includes 5 chapters with, perhaps, the most complete discussion on gender and pension issues available to date. The financial stability perspective addresses in 6 chapters critical micro- and macroeconomic aspects such as the balancing mechanism, the use of a reserve fund, the handling of legacy costs, and technicalities related to the management of the longevity risk when designing annuities. While the 2 volumes address many issues it also opens a number of new questions for which good answers are not yet readily available.