Forecasting German mortality using panel data procedures

Reliable forecasts of life expectancies are of importance for the financial stability of social security systems and the life insurance industry. A discrete-time stochastic process and a continuous-time stochastic process are proposed to model the dynamics of German mortality rates from which life expectancies are calculated. More precisely, a panel data model is utilized, which distinguishes between a common time effect and a common age effect. The model is easy to fit, yields interpretable parameters, and allows for a simple analysis of the forecast error. The main applications of the model are the forecast of mortality rates—and the resulting life expectancies—and the pricing of mortality derivatives.

[1]  B. Baltagi,et al.  Econometric Analysis of Panel Data , 2020, Springer Texts in Business and Economics.

[2]  Nan Li,et al.  A universal pattern of mortality decline in the G7 countries , 2000, Nature.

[3]  Life expectancy in Germany until 2050 , 2004, Experimental Gerontology.

[4]  N. H. Bingham,et al.  Risk-Neutral Valuation: Pricing and Hedging of Financial Derivatives , 2001 .

[5]  Ronald Lee,et al.  Modeling and forecasting U. S. mortality , 1992 .

[6]  Ermanno Pitacco,et al.  Survival models in a dynamic context: a survey , 2004 .

[7]  David Blake,et al.  Pricing Death: Frameworks for the Valuation and Securitization of Mortality Risk* , 2006, ASTIN Bulletin.

[8]  J. Wilmoth,et al.  Variation in vital rates by age, period, and cohort. , 1990, Sociological methodology.

[9]  R. Schmidt,et al.  Future life expectancy in Australia, Europe, Japan and North America , 2007 .

[10]  Michel Denuit,et al.  Closing and projecting lifetables using log-linear models , 2005 .

[11]  K. Zimmermann,et al.  The Mortality Crisis in East Germany , 1998, SSRN Electronic Journal.

[12]  Ronald Lee The Lee-Carter Method for Forecasting Mortality, with Various Extensions and Applications , 2000 .

[13]  G. Cornia The Mortality Crisis in Transitional Economies , 2000 .

[14]  Nan Li,et al.  Using the Lee–Carter Method to Forecast Mortality for Populations with Limited Data * , 2004 .

[15]  J. Vaupel,et al.  Broken Limits to Life Expectancy , 2002, Science.

[16]  Frank T. Denton,et al.  Time series analysis and stochastic forecasting: An econometric study of mortality and life expectancy , 2005 .

[17]  James W. Vaupel,et al.  The force of mortality at ages 80 to 120 , 1998 .

[18]  Yijia Lin,et al.  Securitization of Mortality Risks in Life Annuities , 2005 .

[19]  M. Bauer,et al.  Herleitung der DAV-Sterbetafel 2004 R für Rentenversicherungen , 2006 .

[20]  Akira Yakita Uncertain lifetime, fertility and social security , 2001 .

[21]  Eckart Bomsdorf,et al.  Sterbetafel 2000 Modellrechnungen der Sterbetafel , 1992 .