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.

This volume aims to collect new ideas presented in the form of 4 page papers dedicated to mathematical and statistical methods in actuarial sciences and finance. The cooperation between mathematicians and statisticians working in insurance and finance is a very fruitful field and provides interesting scientific products in theoretical models and practical applications, as well as in scientific discussion of problems of national and international interest. This work reflects the results discussed at the biennial conference on Mathematical and Statistical Methods for Actuarial Sciences and Finance (MAF), born at the University of Salerno in 2004.

The financial crisis and the ensuing Great Recession alerted those seeking to protect old-age security, about the extreme risks confronting the financial and political institutions comprising our retirement system. The workforce of today and tomorrow must count on longer lives and deferred retirement, while at the same time it is taking on increased responsibility for managing retirement risk. This volume explores new ways to think about, manage, and finance longevity risk, capital market risk, model risk, and regulatory risk. This volume offers an in-depth analysis of the 'black swans' that threaten private and public pensions around the world. Capital market shocks, surprises to longevity, regulatory/political risk, and errors in modelling, will all have profound consequences for stakeholders ranging from pension plan participants, plan sponsors, policymakers, and those who seek to make retirement more resistant. This book analyzes such challenges to retirement sustainability, and it explores ways to better manage and finance them. Insights provided help build retirement systems capable of withstanding what the future will bring.

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.

"This is by far the best book I've read on the science of aging."—Andrew Weil, M.D. "Life-span Truth Will Set You Free from Age-old Worries," announced the Chicago Tribune upon the first publication of this book. The New England Journal of Medicine confirmed, "For readers interested in aging and longevity, this small book clearly explains the major concepts...extremely enjoyable to read." From NBC Nightly News with Tom Brokaw to Scientific American to the New York Times, S. Jay Olshansky and Bruce A. Carnes have stirred up controversy and brought clarity to an issue often muddled by exaggeration and pseudoscience. Medical science has uncovered a host of answers to the problems of aging, but many of the most exciting discoveries are buried in scientific journals or overshadowed by popular quick-fix treatments. The Quest for Immortality explains the real science of aging and shows which treatments offered by today's multi-billion-dollar anti-aging industries offer real hope, and which are a waste of money and time.

This edition looks at pension reform during the crisis and beyond, the design of automatic adjustment mechanisms, reversals of systemic pension reforms in Central and Eastern Europe, coverage of private pension systems and guarantees indefined contribution pension systems.

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