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Stochastic Methods for Pension Funds

Author: Pierre Devolder

Publisher: John Wiley & Sons

Published: 2013-03-04

Total Pages: 331

ISBN-13: 1118566262

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Quantitative finance has become these last years a extraordinary field of research and interest as well from an academic point of view as for practical applications. At the same time, pension issue is clearly a major economical and financial topic for the next decades in the context of the well-known longevity risk. Surprisingly few books are devoted to application of modern stochastic calculus to pension analysis. The aim of this book is to fill this gap and to show how recent methods of stochastic finance can be useful for to the risk management of pension funds. Methods of optimal control will be especially developed and applied to fundamental problems such as the optimal asset allocation of the fund or the cost spreading of a pension scheme. In these various problems, financial as well as demographic risks will be addressed and modelled.

Book Synopsis Stochastic Methods for Pension Funds by : Pierre Devolder

Download or read book Stochastic Methods for Pension Funds written by Pierre Devolder and published by John Wiley & Sons. This book was released on 2013-03-04 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative finance has become these last years a extraordinary field of research and interest as well from an academic point of view as for practical applications. At the same time, pension issue is clearly a major economical and financial topic for the next decades in the context of the well-known longevity risk. Surprisingly few books are devoted to application of modern stochastic calculus to pension analysis. The aim of this book is to fill this gap and to show how recent methods of stochastic finance can be useful for to the risk management of pension funds. Methods of optimal control will be especially developed and applied to fundamental problems such as the optimal asset allocation of the fund or the cost spreading of a pension scheme. In these various problems, financial as well as demographic risks will be addressed and modelled.

Risk Management for Pension Funds

Author: Francesco Menoncin

Publisher: Springer Nature

Published: 2021-02-09

Total Pages: 239

ISBN-13: 3030555283

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This book presents a consistent and complete framework for studying the risk management of a pension fund. It gives the reader the opportunity to understand, replicate and widen the analysis. To this aim, the book provides all the tools for computing the optimal asset allocation in a dynamic framework where the financial horizon is stochastic (longevity risk) and the investor's wealth is not self-financed. This tutorial enables the reader to replicate all the results presented. The R codes are provided alongside the presentation of the theoretical framework. The book explains and discusses the problem of hedging longevity risk even in an incomplete market, though strong theoretical results about an incomplete framework are still lacking and the problem is still being discussed in most recent literature.

Book Synopsis Risk Management for Pension Funds by : Francesco Menoncin

Download or read book Risk Management for Pension Funds written by Francesco Menoncin and published by Springer Nature. This book was released on 2021-02-09 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a consistent and complete framework for studying the risk management of a pension fund. It gives the reader the opportunity to understand, replicate and widen the analysis. To this aim, the book provides all the tools for computing the optimal asset allocation in a dynamic framework where the financial horizon is stochastic (longevity risk) and the investor's wealth is not self-financed. This tutorial enables the reader to replicate all the results presented. The R codes are provided alongside the presentation of the theoretical framework. The book explains and discusses the problem of hedging longevity risk even in an incomplete market, though strong theoretical results about an incomplete framework are still lacking and the problem is still being discussed in most recent literature.

Pension Funds with a Minimum Guarantee

Author: Marina Di Giacinto

Publisher:

Published: 2010

Total Pages: 44

ISBN-13:

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In this paper we propose and study a continuous time stochastic model of optimal allocation for a defined contribution pension fund with a minimum guarantee. Usually, portfolio selection models for pension funds maximize the expected utility from final wealth over a finite horizon (the retirement time), whereas our target is to maximize the expected utility from current wealth over an infinite horizon since we adopt the point of view of the fund manager.In our model the dynamics of wealth takes directly into account the flows of contributions and benefits and the level of wealth is constrained to stay above a solvency level. The fund manager can invest in a riskless asset and in a risky asset but borrowing and short selling are prohibited.We concentrate the analysis on the effect of the solvency constraint, analyzing in particular what happens when the fund wealth reaches the allowed minimum value represented by the solvency level.The model is naturally formulated as an optimal stochastic control problem and is treated by the dynamic programming approach. We show that the value function of the problem is a regular solution of the associated Hamilton-Jacobi-Bellman equation. Then we apply verification techniques to get the optimal allocation strategy in feedback form and to study its properties. We finally give a special example with explicit solution.

Book Synopsis Pension Funds with a Minimum Guarantee by : Marina Di Giacinto

Download or read book Pension Funds with a Minimum Guarantee written by Marina Di Giacinto and published by . This book was released on 2010 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we propose and study a continuous time stochastic model of optimal allocation for a defined contribution pension fund with a minimum guarantee. Usually, portfolio selection models for pension funds maximize the expected utility from final wealth over a finite horizon (the retirement time), whereas our target is to maximize the expected utility from current wealth over an infinite horizon since we adopt the point of view of the fund manager.In our model the dynamics of wealth takes directly into account the flows of contributions and benefits and the level of wealth is constrained to stay above a solvency level. The fund manager can invest in a riskless asset and in a risky asset but borrowing and short selling are prohibited.We concentrate the analysis on the effect of the solvency constraint, analyzing in particular what happens when the fund wealth reaches the allowed minimum value represented by the solvency level.The model is naturally formulated as an optimal stochastic control problem and is treated by the dynamic programming approach. We show that the value function of the problem is a regular solution of the associated Hamilton-Jacobi-Bellman equation. Then we apply verification techniques to get the optimal allocation strategy in feedback form and to study its properties. We finally give a special example with explicit solution.

Stochastic Investment Modelling and Optimal Pension Funding Strategies

Author: M. Iqbal Owadally

Publisher:

Published: 1995

Total Pages: 23

ISBN-13: 9781874770763

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Book Synopsis Stochastic Investment Modelling and Optimal Pension Funding Strategies by : M. Iqbal Owadally

Download or read book Stochastic Investment Modelling and Optimal Pension Funding Strategies written by M. Iqbal Owadally and published by . This book was released on 1995 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Actuarial Models in Pension Fund Management

Author: Shih-chieh Chang

Publisher: Chapman & Hall

Published: 2012-07-31

Total Pages: 320

ISBN-13: 9781439855294

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Book Synopsis Stochastic Actuarial Models in Pension Fund Management by : Shih-chieh Chang

Download or read book Stochastic Actuarial Models in Pension Fund Management written by Shih-chieh Chang and published by Chapman & Hall. This book was released on 2012-07-31 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Old and New Perspectives on Mortality Forecasting

Author: Tommy Bengtsson

Publisher: Springer

Published: 2019-03-28

Total Pages: 349

ISBN-13: 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.

Book Synopsis Old and New Perspectives on Mortality Forecasting by : Tommy Bengtsson

Download or read book Old and New Perspectives on Mortality Forecasting written by Tommy Bengtsson and published by Springer. This book was released on 2019-03-28 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Models for Pensionable Service

Author: Izzet Sahin

Publisher:

Published: 1977

Total Pages: 50

ISBN-13:

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Book Synopsis Stochastic Models for Pensionable Service by : Izzet Sahin

Download or read book Stochastic Models for Pensionable Service written by Izzet Sahin and published by . This book was released on 1977 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Evaluating the Financial Performance of Pension Funds

Author: Richard Hinz

Publisher: World Bank Publications

Published: 2010-01-14

Total Pages: 300

ISBN-13: 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.

Book Synopsis Evaluating the Financial Performance of Pension Funds by : Richard Hinz

Download or read book Evaluating the Financial Performance of Pension Funds written by Richard Hinz and published by World Bank Publications. This book was released on 2010-01-14 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Financial Aspects of the United States Pension System

Author: Zvi Bodie

Publisher: University of Chicago Press

Published: 2008-04-15

Total Pages: 466

ISBN-13: 0226062899

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This book provides valuable information and analysis to managers, policymakers, and investment counselors in the rapidly expanding field of pension funding. American workers, too, need answers and insights on how to invest their money and plan for their retirement. fifteen of America's leading financial analysts address such pressing questions as -What is the current financial status of the elderly, and how vulnerable are they to inflation? -What is the impact of inflation on the private pension system, and what are the effects of alternative indexing schemes? -What roles can the social security system play in the provision of retirement income? -What is the effect of the tax code and the Employee Retirement Income Security Act of 1974 (ERISA) on corporate pension policy? -How well funded are corporate pension plans, and is a firm's unfunded pension liability fully reflected in the market value of its common stock? Many of the conclusions these experts reach contradict and challenge popular views, thus providing fertile ground for innovation in pension planning.

Book Synopsis Financial Aspects of the United States Pension System by : Zvi Bodie

Download or read book Financial Aspects of the United States Pension System written by Zvi Bodie and published by University of Chicago Press. This book was released on 2008-04-15 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides valuable information and analysis to managers, policymakers, and investment counselors in the rapidly expanding field of pension funding. American workers, too, need answers and insights on how to invest their money and plan for their retirement. fifteen of America's leading financial analysts address such pressing questions as -What is the current financial status of the elderly, and how vulnerable are they to inflation? -What is the impact of inflation on the private pension system, and what are the effects of alternative indexing schemes? -What roles can the social security system play in the provision of retirement income? -What is the effect of the tax code and the Employee Retirement Income Security Act of 1974 (ERISA) on corporate pension policy? -How well funded are corporate pension plans, and is a firm's unfunded pension liability fully reflected in the market value of its common stock? Many of the conclusions these experts reach contradict and challenge popular views, thus providing fertile ground for innovation in pension planning.

Optimal Portfolio Strategies for Defined-contribution Pension Plans

Author: Paolo Battocchio

Publisher:

Published: 2003

Total Pages:

ISBN-13:

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Book Synopsis Optimal Portfolio Strategies for Defined-contribution Pension Plans by : Paolo Battocchio

Download or read book Optimal Portfolio Strategies for Defined-contribution Pension Plans written by Paolo Battocchio and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: