Integrating Financial and Demographic Longevity Risk Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrating Financial and Demographic Longevity Risk Models write by Michael Sherris. This book was released on 2011. Integrating Financial and Demographic Longevity Risk Models available in PDF, EPUB and Kindle. Since its introduction, the Lee Carter model has been widely adopted as a means of modelling the distribution of projected mortality rates. Increasingly attention is being placed on alternative models and, importantly in the financial and actuarial literature, on models suited to risk management and pricing. Financial economic approaches based on term structure models provide a framework for embedding longevity models into a pricing and risk management framework. They can include traditional actuarial models for the force of mortality as well as multiple risk factor models. The paper develops a stochastic longevity model suitable for financial pricing and risk management applications based on Australian population mortality rates from 1971-2004 for ages 50-99. The model allows for expected changes arising from age and cohort effects and includes multiple stochastic risk factors. The model captures age and time effects and allows for age dependence in the stochastic factors driving longevity improvements. The model provides a good fit to historical data capturing the stochastic trends in mortality improvement at different ages and across time as well as the multivariate dependence structure across ages.
New Models for Managing Longevity Risk
New Models for Managing Longevity Risk - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Models for Managing Longevity Risk write by Olivia S. Mitchell. This book was released on 2022. New Models for Managing Longevity Risk available in PDF, EPUB and Kindle. This is an open access title available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read at Oxford Scholarship Online and offered as a free PDF download from OUP and selected open access locations. Notwithstanding the terrible price the world has paid in the coronavirus pandemic, the fact remains that longevity at older ages is likely to continue to rise in the medium and longer term. This volume explores how the private and public sectors can collaborate via public-private partnerships (PPPs) to develop new mechanisms to reduce older people's risk of outliving their assets in later life. As this volume shows, PPPs typically involve shared government financing alongside private sector partner expertise, management responsibility, and accountability. In addition to offering empirical evidence on examples where this is working well, contributors provide case studies, discuss survey results, and examine a variety of different financial and insurance products to better meet the needs of the aging population. This volume will be informative to researchers, plan sponsors, students, and policymakers seeking to enhance retirement plan offerings.
New Models for Managing Longevity Risk
New Models for Managing Longevity Risk - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Models for Managing Longevity Risk write by Olivia S. Mitchell. This book was released on 2022. New Models for Managing Longevity Risk available in PDF, EPUB and Kindle. "Notwithstanding the terrible price the world has paid in the Coronavirus pandemic, the fact remains that longevity at older ages is likely to continue to rise in the medium and longer term. This volume explores how the private and public sectors can collaborate via public-private partnerships (PPPs) to develop new mechanisms to reduce older people’s risk of outliving their assets in later life. As we show in this volume, PPPs typically involve shared government financing alongside private-sector partner expertise, management responsibility, and accountability. In addition to offering empirical evidence on examples where this is working well, our contributors provide case studies, discuss survey results, and examine a variety of different financial and insurance products to better meet the needs of the aging population. The volume will be informative to researchers, plan sponsors, students, and policymakers seeking to enhance retirement plan offerings"--Publisher's description.
Longevity Risk and the Econometric Analysis of Mortality Trends and Volatility
Longevity Risk and the Econometric Analysis of Mortality Trends and Volatility - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Longevity Risk and the Econometric Analysis of Mortality Trends and Volatility write by Michael Sherris. This book was released on 2011. Longevity Risk and the Econometric Analysis of Mortality Trends and Volatility available in PDF, EPUB and Kindle. Longevity risk and the modeling of trends and volatility for mortality improvement has attracted increased attention driven by ageing populations around the world and the expected financial implications. The original Lee-Carter model that was used for longevity risk assessment included a single improvement factor with differential impacts by age. Financial models that allow for risk pricing and risk management have attracted increasing attention along with multiple factor models. This paper investigates trends, including common trends through co-integration, and the factors driving the volatility of mortality using principal components analysis for a number of developed countries including Australia, England, Japan, Norway and USA. The results demonstrate the need for multiple factors for modeling mortality rates across all these countries. The basic structure of the Lee-Carter model can not adequately model the random variation and the full risk structure of mortality changes. Trends by country are found to be stochastic. Common trends and co-integrating relationships are found across ages highlighting the benefits from modeling mortality rates as a system in a Vector-Autoregressive (VAR) model and capturing long run equilibrium relationships in a Vector Error-Correction Model (VECM) framework.
Longevity Risk Management
Longevity Risk Management - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Longevity Risk Management write by Kenneth Qian Zhou. This book was released on 2019. Longevity Risk Management available in PDF, EPUB and Kindle. 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.
