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Author: Pierre Devolder Publisher: John Wiley & Sons ISBN: 1118566262 Category : Mathematics Languages : en Pages : 331
Book Description
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.
Author: Pierre Devolder Publisher: John Wiley & Sons ISBN: 1118566262 Category : Mathematics Languages : en Pages : 331
Book Description
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.
Author: Francesco Menoncin Publisher: Springer Nature ISBN: 3030555283 Category : Business & Economics Languages : en Pages : 239
Book Description
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.
Author: Tommy Bengtsson Publisher: Springer ISBN: 3030050750 Category : Social Science Languages : en Pages : 341
Book Description
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.
Author: Alexander Zeifman Publisher: MDPI ISBN: 3036504524 Category : Mathematics Languages : en Pages : 370
Book Description
The aim of this Special Issue of Mathematics is to commemorate the outstanding Russian mathematician Vladimir Zolotarev, whose 90th birthday will be celebrated on February 27th, 2021. The present Special Issue contains a collection of new papers by participants in sessions of the International Seminar on Stability Problems for Stochastic Models founded by Zolotarev. Along with research in probability distributions theory, limit theorems of probability theory, stochastic processes, mathematical statistics, and queuing theory, this collection contains papers dealing with applications of stochastic models in modeling of pension schemes, modeling of extreme precipitation, construction of statistical indicators of scientific publication importance, and other fields.
Author: Bernt Øksendal Publisher: Springer Science & Business Media ISBN: 3540698264 Category : Mathematics Languages : en Pages : 263
Book Description
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.
Author: Ermanno Pitacco Publisher: OUP Oxford ISBN: 0191563153 Category : Business & Economics Languages : en Pages : 417
Book Description
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.
Author: Marta Peris-Ortiz Publisher: Springer Nature ISBN: 3030379124 Category : Business & Economics Languages : en Pages : 487
Book Description
This book examines the major economic challenges associated with the sustainability of public pensions, specifically demographic change, labor-market relations, and risk sharing. The issue of public pensions occupies the political and economic agendas of many major governments in the world. International organizations such as the World Bank and the OECD warn that the economic changes driven by an aging society negatively affects the sustainability of pension systems. This book analyzes different global public pension systems to offer policies, methods and tools for sustainable public pensions. Real case studies from France, Sweden, Latin America, Algeria, USA and Mexico are featured.
Author: Miguel González Velasco Publisher: John Wiley & Sons ISBN: 1786302535 Category : Mathematics Languages : en Pages : 240
Book Description
The purpose of this book is to provide a comprehensive discussion of the available results for discrete time branching processes with random control functions. The independence of individuals’ reproduction is a fundamental assumption in the classical branching processes. Alternatively, the controlled branching processes (CBPs) allow the number of reproductive individuals in one generation to decrease or increase depending on the size of the previous generation. Generating a wide range of behaviors, the CBPs have been successfully used as modeling tools in diverse areas of applications.
Author: Christian Hertrich Publisher: Springer Science & Business Media ISBN: 3658021675 Category : Business & Economics Languages : en Pages : 405
Book Description
The central research objective of the dissertation is to assess the suitability of Social Responsible Investments (SRIs) as well as alternative investments for the strategic asset allocation of German Pension Insurance Funds (Pensionskassen). Using a Vector Error Correction model, we estimate the data generating process of the underlying input variables. A bootstrap simulation allows generating future return paths of the underlying portfolios. These return distributions will subsequently be used as input for different asset allocation strategies.The empirical results of our research study offer valuable conclusions: (1) SRI-structured portfolios consistently perform better than conventional portfolios, (2) including alternative investments has a beneficial effect on the risk-return distribution and (3) derivative overlay structures mitigate downside risk exposure without impacting average fund performance. In terms of alternative allocation models, (1) high-equity portfolios lead to an increase in return volatility without sufficiently compensating investors with higher returns, (2) hedging against price increases by engineering a portfolio with inflation-suitable assets yields mixed results, (3) a portfolio composition that combines derivative overlay strategies for both equities and corporate bonds and uses SRI-screened assets as underlying generates the best results.
Author: Rodolfo Console Publisher: John Wiley & Sons ISBN: 1119372224 Category : Mathematics Languages : en Pages : 141
Book Description
Earthquake Occurrence provides the reader with a review of algorithms applicable for modeling seismicity, such as short-term earthquake clustering and pseudo-periodic long-term behavior of major earthquakes. The concept of the likelihood ratio of a set of observations under different hypotheses is applied for comparison among various models. In short-term models, known by the term ETAS, the occurrence space and time rate density of earthquakes is modeled as the sum of two terms, one representing the independent or spontaneous events, and the other representing the activity triggered by previous earthquakes. Examples of the application of such algorithms in real cases are also reported. Dealing with long-term recurrence models, renewal time-dependent models, implying a pseudo-periodicity of earthquake occurrence, are compared with the simple time-independent Poisson model, in which every event occurs regardless of what has occurred in the past. The book also introduces a number of computer codes developed by the authors over decades of seismological research.
Author: Pierre Devolder
Author: Pierre Devolder
Author: Francesco Menoncin
Author: Tommy Bengtsson
Author: Alexander Zeifman
Author: Bernt Øksendal
Author: Ermanno Pitacco
Author: Marta Peris-Ortiz
Author: Miguel González Velasco
Author: Christian Hertrich
Author: Rodolfo Console