Description: We ask whether we can find support for the previously reported upper limit of the force of mortality of 0.7, i.e. about the probability of tossing a fair coin.

Description: Demography is a very exciting subject. With a simple mathematical model, students can project a country's population forward 25, 59, 75 even 100 years. This paper will focus on six ideas from demography. They all can be useful to an actuary, yet none of them would be considered at any length if the actuary didn’t study demography.

Description: Transcript of the Q&A period from Session 6A: Projection and Statistical Modeling of Mortality at Late Age

Description: Recent trends in mortality suggest that future gains in life expectancy will occur after age 80. This fact stresses the need and the importance to obtain precise measures of mortality at the highest ages, which are always subject to uncertainty due to misreporting of age at death.

Description: The theory underlying the Moving Weighted Average graduation method is restated in the language of linear algebra which provides for an enrichment of the family of formulas. A comparison of the results of applying six members of the family to 100 simulated data sets is provided.

Description: Estimation of hazard rates at extremely old ages poses serious challenges to researchers: 1 The observed mortality deceleration may be at least partially an artifact of mixing different birth cohorts with different mortality heterogeneity effect 2 Standard assumptions of hazard rate estimates may be invalid when risk of death is extremely high at old ages 3 Ages of very old people may be exaggerated. In this paper we propose an alternative approach, which gives an opportunity to resolve the first two problems by compiling data for more homogeneous single-year birth cohorts with hazard rates measured at narrow monthly age intervals. Possible ways of resolving the third problem of hazard rate estimation were elaborated.

Description: This paper presents recent trends in obesity prevalence in significant population segments, including overall effects by age, gender and certain racial and ethnic groups, and discusses the ways in which obesity can influence mortality in each of these segments. It provides a synthesis of reported mortality experience relating to these behaviors by risk factors and diseases that will affect any mortality projection.

Description: In this paper, we investigate the dynamics of the Lee-Carter mortality index parameter kt. Specifically, we perform statistical hypothesis tests to examine whether the mortality indexes for Canada, England and Wales and the United States are best described by stochastic trends difference stationary models or deterministic trends trend stationary models. The empirical results favor broken-trend stationary models over difference stationary models, which are used in most previous applications of the Lee-Carter method. The results also give strong statistical evidence that the rates of mortality decline for the three populations have significantly accelerated in mid-1970s.

Description: Estimation of hazard rates at extremely old ages poses serious challenges to researchers: 1 The observed mortality deceleration may be at least partially an artifact of mixing different birth cohorts with different mortality heterogeneity effect 2 Standard assumptions of hazard rate estimates may be invalid when risk of death is extremely high at old ages 3 Ages of very old people may be exaggerated. In this paper we propose an alternative approach, which gives an opportunity to resolve the first two problems by compiling data for more homogeneous single-year birth cohorts with hazard rates measured at narrow monthly age intervals. Possible ways of resolving the third problem of hazard rate estimation were elaborated.

Description: Discussion of Living to 100 Session 5A. The papers presented propose a new method to price the longevity risk premia in order to tackle the pricing obstacle and reviewed the insurance industry implications on retirement planning and the secondary market in insurance.