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Author : Xilin Li
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (828 download)
Download or read book Hedging Longevity Risk by Issuing Mortality Bonds written by Xilin Li and published by . This book was released on 2012 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lasse Erdweg
Publisher : GRIN Verlag
ISBN 13 : 3668094284
Total Pages : 24 pages
Book Rating : 4.6/5 (68 download)
Download or read book Longevity Risk from a Pension Fund Perspective written by Lasse Erdweg and published by GRIN Verlag. This book was released on 2015-11-24 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seminar paper from the year 2015 in the subject Business economics - Investment and Finance, grade: 1.7, University of Frankfurt (Main) (Faculty of Economics and Business Administration), language: English, abstract: Assurance companies face two main risk factors in the process of pricing annuity products namely the interest risk and the longevity risk. There are numerous products and possibilities for the insurers to hedge their interest risk using interest derivatives and long bonds. Hedging products against the longevity risk is uncommon but insurers have to take it into account when they are pricing their annuity products. There are two types of longevity risks. On the one hand the idiosyncratic longevity risk and on the other hand the systematic longevity risk. With regards to the idiosyncratic longevity risk, individuals are faced with the issue that they need to invest in assets for their retirement in spite of an uncertain span of lifetime and thus an uncertain investment horizon. Pricing of life annuities could be done according to corresponding mortality tables. If the clients of an insurer die on average according to mortality rates provided by such tables, the revenues of the insurer should be sufficient to ensure the payments for the clients who are still alive. The issue out of a pension fund perspective is that longevity has been improving over time and clients could live longer than anticipated. These improvements occurred in an unpredictable way, especially at higher ages according to Cairns et al. (2006). Insurers therefore made false calculations of the insurance premium and suffered losses due to pensioners living longer than anticipated. The systematic longevity risk is based on the stochastic variation of mortality. The future development of life expectancy will be highly unpredictable due to medical improvements or discoveries in genetic research. For that reason insurers need stochastic models to quantify the systematic mortality changes over time and to make a prediction about future mortality in order to prevent losses caused by longevity risk. This paper will firstly discuss the literature regarding the Lee and Carter one factor model and the relevance of longevity risk for annuity pricing. Second this paper aims to estimate the stochastic two-factor model by Cairns, Blake and Dowd (2006) (CBD) for U.S. males from 1933 to 2010 by running a simulation to predict average mortality for the year 2030. In the further course will this stated prediction be used to price an annuity product followed by a brief conclusion and summary of results.
Author : Arun Muralidhar
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (13 download)
Download or read book Managing Longevity Risk - The Case for Longevity-Indexed Variable Expiration (LIVE) Bonds written by Arun Muralidhar and published by . This book was released on 2018 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is an annuity puzzle in that despite the welfare gains to individuals and society from consumers purchasing annuities, the actual allocation to these instruments by individuals is very low. Many explanations have been provided including adverse selection, complexity and inflexibility of the annuity contract, bequest motive etc. Insurance companies have tried to address these issues by changing their products, but take up has still been low. Some have argued that governments should create and issue longevity bonds that attempt to hedge overall economy-wide mortality risk to improve insurance companies' ability to hedge their annuity offering, thereby lowering costs. But these longevity bonds have some challenges and while an “improving social-welfare” case can be made for why governments should issue such bonds, these proponents have not shown how governments have a natural hedge. Instead, we suggest governments should create Longevity-Indexed Variable Expiration (LIVE) bonds. These bonds, targeted to individuals (and institutions) would pay income-only, and start paying only after the average life-expectancy of the economy (having addressed retirement income through life expectancy with a complementary BFFS/SeLFIES bond). Each bond will be cohort specific and based on tax collections of that cohort. In this fashion, the government is fully hedged (because the bond will be a form of a collateralized debt obligation), and hence a natural issuer, with low credit risk. Since BFFS/SeLFIES cover the life-expectancy of those living less than the average, only those individuals who live beyond the average (usually richer portions of the population) and with limited resources need purchase LIVE bonds. The paper also briefly discusses the portfolio strategies of those living beyond average life expectancy (which raises one challenge with this bond) and also how governments can ensure that they have sufficient funds to bear this risk. It concludes with the challenges to this approach as there are only three levers in addressing this issue through a bond (coupon payments, bonds outstanding and maturity) and allowing maturity to be flexible requires the first two to decline over time and hence in LIVE we focus on just the coupon declining.
Author : Leora Friedberg
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.3/5 ( download)
Download or read book Life is Cheap written by Leora Friedberg and published by . This book was released on 2006 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the widely-cited Lee-Carter mortality model, we quantify aggregate mortality risk as the risk that the average annuitant lives longer than is predicted by the model, and we conclude that annuity business exposes insurance companies to substantial mortality risk. We calculate that a markup of 3.7% on an annuity premium (or else shareholders' capital equal to 3.7% of the expected present value of annuity payments) would reduce the probability of insolvency resulting from uncertain aggregate mortality trends to 5% and a markup of 5.4% would reduce the probability of insolvency to 1%. Using the same model, we find that a projection scale commonly referred to by the insurance industry underestimates aggregate mortality improvements. Annuities that are priced on that projection scale without any conservative margin appear to be substantially underpriced. Insurance companies could deal with aggregate mortality risk by transferring it to financial markets through mortality-contingent bonds, one of which has recently been offered. We calculate the returns that investors would have obtained on such bonds had they been available over a long period. Using both the Capital and the Consumption Capital Asset Pricing Models, we determine the risk premium that investors would have required on such bonds. At plausible coefficients of risk aversion, annuity providers should be able to hedge aggregate mortality risk via such bonds at a very low cost.
Author : Geoff Chaplin
Publisher : John Wiley & Sons
ISBN 13 : 0470684852
Total Pages : 425 pages
Book Rating : 4.4/5 (76 download)
Download or read book Life Settlements and Longevity Structures written by Geoff Chaplin and published by John Wiley & Sons. This book was released on 2009-08-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent turbulence in the financial markets has highlighted the need for diversified portfolios with lower correlations between the different investments. Life settlements meet this need, offering investors the prospect of high, stable returns, uncorrelated with the broader financial markets. This book provides readers of all levels of experience with essential information on the process surrounding the acquisition and management of a portfolio of life settlements; the assessment, modelling and mitigation of the associated longevity, interest rate and credit risks; and practical approaches to financing and risk management structures. It begins with the history of life insurance and looks at how the need for new financing sources has led to the growth of the life settlements market in the United States. The authors provide a detailed exploration of the mathematical formulae surrounding the generation of mortality curves, drawing a parallel between the tools deployed in the credit derivatives market and those available to model longevity risk. Structured products and securitisation techniques are introduced and explained, starting with simple vanilla products and models before illustrating some of the investment structures associated with life settlements. Capital market mechanisms available to assist the investor in limiting the risks associated with life settlement portfolios are outlined, as are opportunities to use life settlement portfolios to mitigate the risks of traditional capital markets. The last section of the book covers derivative products, either available now or under consideration, that will reduce or potentially eliminate longevity risks within life settlement portfolios. It then reviews hedging and risk management strategies and considers how to measure the effectiveness of risk mitigation.
Author : Changyu Liu
Publisher :
ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (13 download)
Download or read book Immunization and Hedging of Longevity Risk written by Changyu Liu and published by . This book was released on 2015 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pension funds and life insurers offering annuities hold long term liabilities linked to longevity. Risk management of life annuity portfolios aims to immunize or hedge both interest rate and mortality risks. Standard fixed interest duration-convexity hedging must be adapted to allow for both interest rate and longevity risk. We develop an immunization approach along with a delta-gamma based approach allowing for both risks incorporating models for mortality and interest rate risk. The immunization and hedge effectiveness of fixed-income coupon bonds, annuity bonds, as well as longevity bonds, is compared and assessed using simulations of portfolio surplus outcomes for an annuity portfolio. Fixed-income annuity bonds can more effectively match cash flows and provide additional hedge effectiveness over coupon bonds. Longevity bonds, including deferred longevity bonds, reduce risk significantly compared to coupon and annuity bonds, reflecting the long duration of the typical life annuity and the exposure to longevity risk. Longevity bonds are shown to be effective in immunizing surplus over short and long horizons. Delta gamma hedging is shown to only be effective over short horizons.
Author : Andrew J. G. Cairns
Publisher : Princeton University Press
ISBN 13 : 0691187428
Total Pages : 289 pages
Book Rating : 4.6/5 (911 download)
Download or read book Interest Rate Models written by Andrew J. G. Cairns and published by Princeton University Press. This book was released on 2018-06-05 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of financial mathematics has developed tremendously over the past thirty years, and the underlying models that have taken shape in interest rate markets and bond markets, being much richer in structure than equity-derivative models, are particularly fascinating and complex. This book introduces the tools required for the arbitrage-free modelling of the dynamics of these markets. Andrew Cairns addresses not only seminal works but also modern developments. Refreshingly broad in scope, covering numerical methods, credit risk, and descriptive models, and with an approachable sequence of opening chapters, Interest Rate Models will make readers--be they graduate students, academics, or practitioners--confident enough to develop their own interest rate models or to price nonstandard derivatives using existing models. The mathematical chapters begin with the simple binomial model that introduces many core ideas. But the main chapters work their way systematically through all of the main developments in continuous-time interest rate modelling. The book describes fully the broad range of approaches to interest rate modelling: short-rate models, no-arbitrage models, the Heath-Jarrow-Morton framework, multifactor models, forward measures, positive-interest models, and market models. Later chapters cover some related topics, including numerical methods, credit risk, and model calibration. Significantly, the book develops the martingale approach to bond pricing in detail, concentrating on risk-neutral pricing, before later exploring recent advances in interest rate modelling where different pricing measures are important.
Author : Alicia Haydock Munnell
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (44 download)
Download or read book Pensions for Public Employees written by Alicia Haydock Munnell and published by . This book was released on 1979 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ermanno Pitacco
Publisher : OUP Oxford
ISBN 13 : 0191563153
Total Pages : 417 pages
Book Rating : 4.1/5 (915 download)
Download or read book Modelling Longevity Dynamics for Pensions and Annuity Business written by Ermanno Pitacco and published by OUP Oxford. This book was released on 2009-01-29 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Pablo Antolin
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (129 download)
Download or read book Governments and the Market for Longevity-Indexed Bonds written by Pablo Antolin and published by . This book was released on 2009 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainty about length of life, longevity risk, is a growing financial problem for pension funds and annuity providers. They would like to transfer longevity risk away to institutions better placed to deal with it. Unfortunately, there is a lack of financial instruments to hedge against this longevity risk, thereby complicating risk management by pension funds and hindering the expansion of the annuity market. Consequently, this paper examines the role of government in promoting a private market solution for longevity hedging financial products. Governments could improve the market for annuities by issuing longevity indexed bonds and by producing a longevity index. The paper argues though that this public policy role is hampered by the fact that governments are themselves are already exposed to significant longevity risk. However, governments could take other steps such as producing a longevity index.
Author : Elisa Luciano
Publisher :
ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (13 download)
Download or read book Single- and Cross-Generation Natural Hedging of Longevity and Financial Risk written by Elisa Luciano and published by . This book was released on 2015 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article provides natural hedging strategies for life insurance and annuity businesses written on a single generation or on different generations in the presence of both longevity and interest-rate risks. We obtain closed-form solutions for delta and gamma hedges against cohort-based longevity risk. We exploit the correlation between the mortality intensities of different generations and hedge the longevity risk of one cohort with products on other cohorts. An application with UK data on survivorship and bond dynamics shows that hedging is effective, even when rebalancing is infrequent.
Author : David P. Blake
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Longevity Risk and Capital Markets written by David P. Blake and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Longevity Four: The Fourth International Longevity Risk and Capital Markets Solutions Conference was held in Amsterdam on 25-26 September 2008. It was hosted by Netspar and the Pensions Institute (at Cass Business School), organised by PensionSummit and sponsored by Cardano, EIM, Nationale Nederlanden, and Robeco; IPE and Pensions & Investments were media partners. Mortality improvements around the world are putting more pressure on governments, pension funds, life insurance companies as well as individuals to deal with the longevity risk they face. At the same time, capital markets can, in principle, provide vehicles to hedge longevity risk effectively. Many new investment products have been created both by the insurance/reinsurance industry and by the capital markets. Mortality catastrophe bonds are an example of a successful insurance-linked security. Some new innovative capital market solutions for transferring longevity risk include survivor bonds, reverse mortgages, longevity-linked swaps and mortality (or q-) forward contracts. The aim of the International Longevity Risk and Capital Markets Solutions Conferences is to bring together academics and practitioners from all over the world to discuss and analyze these exciting new developments.
Author : David Blake
Publisher : John Wiley & Sons
ISBN 13 : 9780470058718
Total Pages : 270 pages
Book Rating : 4.0/5 (587 download)
Download or read book Pension Economics written by David Blake and published by John Wiley & Sons. This book was released on 2006-11-02 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Kenneth Qian Zhou
Publisher :
ISBN 13 :
Total Pages : 169 pages
Book Rating : 4.:/5 (112 download)
Download or read book Longevity Risk Management written by Kenneth Qian Zhou and published by . This book was released on 2019 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Longevity risk management is becoming increasingly important in the pension and life insurance industries. The unexpected mortality improvements observed in recent decades are posing serious concerns to the financial stability of defined-benefit pension plans and annuity portfolios. It has recently been argued that the overwhelming longevity risk exposures borne by the pension and life insurance industries may be transferred to capital markets through standardized longevity derivatives that are linked to broad-based mortality indexes. To achieve the transfer of risk, two technical issues need to be addressed first: (1) how to model the dynamics of mortality indexes, and (2) how to optimize a longevity hedge using standardized longevity derivatives. The objective of this thesis is to develop sensible solutions to these two questions. In the first part of this thesis, we focus on incorporating stochastic volatility in mortality modeling, introducing the notion of longevity Greeks, and analysing the properties of longevity Greeks and their applications in index-based longevity hedging. In more detail, we derive three important longevity Greeks--delta, gamma and vega--on the basis of an extended version of the Lee-Carter model that incorporates stochastic volatility. We also study the properties of each longevity Greek, and estimate the levels of effectiveness that different longevity Greek hedges can possibly achieve. The results reveal several interesting facts. For example, we found and explained that, other things being equal, the magnitude of the longevity gamma of a q-forward increases with its reference age. As with what have been developed for equity options, these properties allow us to know more about standardized longevity derivatives as a risk mitigation tool. We also found that, in a delta-vega hedge formed by q-forwards, the choice of reference ages does not materially affect hedge effectiveness, but the choice of times-to-maturity does. These facts may aid insurers to better formulate their hedge portfolios, and issuers of mortality-linked securities to determine what security structures are more likely to attract liquidity. We then move onto delta hedging the trend and cohort components of longevity risk under the M7-M5 model. In a recent project commissioned by the Institute and Faculty of Actuaries and the Life and Longevity Markets Association, a two-population mortality model called the M7-M5 model is developed and recommended as an industry standard for the assessment of population basis risk. We develop a longevity delta hedging strategy for use with the M7-M5 model, taking into account of not only period effect uncertainty but also cohort effect uncertainty and population basis risk. To enhance practicality, the hedging strategy is formulated in both static and dynamic settings, and its effectiveness can be evaluated in terms of either variance or 1-year ahead Value-at-Risk (the latter is highly relevant to solvency capital requirements). Three real data illustrations are constructed to demonstrate (1) the impact of population basis risk and cohort effect uncertainty on hedge effectiveness, (3) the benefit of dynamically adjusting a delta longevity hedge, and (3) the relationship between risk premium and hedge effectiveness. The last part of this thesis sets out to obtain a deeper understanding of mortality volatility and its implications on index-based longevity hedging. The volatility of mortality is crucially important to many aspects of index-based longevity hedging, including instrument pricing, hedge calibration, and hedge performance evaluation. We first study the potential asymmetry in mortality volatility by considering a wide range of GARCH-type models that permit the volatility of mortality improvement to respond differently to positive and negative mortality shocks. We then investigate how the asymmetry of mortality volatility may impact index-based longevity hedging solutions by developing an extended longevity Greeks framework, which encompasses longevity Greeks for a wider range of GARCH-type models, an improved version of longevity vega, and a new longevity Greek known as `dynamic delta'. Our theoretical work is complemented by two real-data illustrations, the results of which suggest that the effectiveness of an index-based longevity hedge could be significantly impaired if the asymmetry in mortality volatility is not taken into account when the hedge is calibrated.
Author : International Monetary Fund. Monetary and Capital Markets Department
Publisher : International Monetary Fund
ISBN 13 : 1616352477
Total Pages : 94 pages
Book Rating : 4.6/5 (163 download)
Download or read book Global Financial Stability Report, April 2012 written by International Monetary Fund. Monetary and Capital Markets Department and published by International Monetary Fund. This book was released on 2012-04-18 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: The April 2012 Global Financial Stability Report assesses changes in risks to financial stability over the past six months, focusing on sovereign vulnerabilities, risks stemming from private sector deleveraging, and assessing the continued resilience of emerging markets. The report probes the implications of recent reforms in the financial system for market perception of safe assets, and investigates the growing public and private costs of increased longevity risk from aging populations.
Author : Leora Friedberg
Publisher :
ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (129 download)
Download or read book Life is Cheap written by Leora Friedberg and published by . This book was released on 2010 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the widely-cited Lee-Carter mortality model, we quantify aggregate mortality risk as the risk that the average annuitant lives longer than is predicted by the model, and we conclude that annuity business exposes insurance companies to substantial mortality risk. We calculate that a markup of 3.7% on an annuity premium (or else shareholders%u2019 capital equal to 3.7% of the expected present value of annuity payments) would reduce the probability of insolvency resulting from uncertain aggregate mortality trends to 5% and a markup of 5.4% would reduce the probability of insolvency to 1%. Using the same model, we find that a projection scale commonly referred to by the insurance industry underestimates aggregate mortality improvements. Annuities that are priced on that projection scale without any conservative margin appear to be substantially underpriced. Insurance companies could deal with aggregate mortality risk by transferring it to financial markets through mortality-contingent bonds, one of which has recently been offered. We calculate the returns that investors would have obtained on such bonds had they been available over a long period. Using both the Capital and the Consumption Capital Asset Pricing Models, we determine the risk premium that investors would have required on such bonds. At plausible coefficients of risk aversion, annuity providers should be able to hedge aggregate mortality risk via such bonds at a very low cost.
Author : Emma McWilliam
Publisher :
ISBN 13 : 9781906348533
Total Pages : 355 pages
Book Rating : 4.3/5 (485 download)
Download or read book Longevity Risk written by Emma McWilliam and published by . This book was released on 2011 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents methods to price and measure longevity risk and ways to hedge/de-risk through a range of traditional insurance, reinsurance and innovative capital market solutions.
