A Comparison between General Population Mortality and Life Tables for Insurance in Mexico under Gender Proportion Inequality //
DOI:
https://doi.org/10.46661/revmetodoscuanteconempresa.2180Keywords:
Mortality rates, Lee-Carter, longevity dynamics, Brass-type model, insured population, tasas de mortalidad, modelo Lee-Carter, modelo Brass-Type, población aseguradaAbstract
We model the mortality behavior of the general population in Mexico using data from 1990 to 2009 and compare it to the mortality assumed in the tables used in Mexico for insured lives. We fit a Lee-Carter model, a Renshaw-Haberman model and an Age-Period-Cohort model. The data used are drawn from the Mexican National Institute of Statistics and Geography (INEGI) and the National Population Council (CONAPO). We also fit a Brass-type relational model to compare gaps between general population mortality and the mortality estimates for the insured population used by the National Insurance and Finance Commission in Mexico. As the life tables for insured lives are unisex, i.e. they do not differentiate between men and women, we assume various sex ratios in the mortality tables for insured lives. We compare our results with those obtained for Switzerland and observe very similar outcomes. We emphasize the limitations of the mortality tables used by insurance companies in Mexico. We also discuss the bias incurred when using unisex mortality tables if the proportion of male and female policyholders in an insurance company is not balanced.
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References
Betzuen, A. (2010). Un Análisis sobre las posibilidades de predicción de la mortalidad futura aplicando el modelo Lee-Carter. Anales del Instituto de Actuarios Españoles : Colegio Profesional, (16):111–140.
Brass, W. (1971). On the Scale of Mortality. Taylor and Francis, London.
Brouhns, N., Denuit, M., and Vermunt, J. K. (2002). A Poisson Log-Bilinear Regression Approach to the Construction of Projected Lifetables. Insurance: Mathematics and Economics, 31(3):373–393.
Cairns, A., Blake, D., Dowd, K., Coughlan, G., Epstein, D., Ong, A., and Balevich, I. (2009). A Quantitative Comparison of Stochastic Mortality Models Using Data from England and Wales and the United States. North American Actuarial Journal, 13:1–35.
Camposortega, S. (1997). Cien Años de Mortalidad en México. Demos, 10:11–13.
Cox, D. R. and Oakes, D. (1984). Analysis of Survival Data. In Monographs on Statistics and Applied Probability, volume 21. Chapman and Hall.
Currie, I. (2006). Smoothing and Forecasting Mortality Rates with P Splines. Talk given at the Institute of Actuaries.
Debon, A., Montes, F., and Puig, F. (2008). Modelling and Forecasting Mortality in Spain. European Journal of Operational Research, 189(3):624–637.
Delwarde, A. and Denuit, M. (2003). Importance de la Période d'observation et des âges Considérés dans la Projection de la Mortalité selon la Méthode de Lee-Carter. Belgian Actuarial Bulletin, 3:1–21.
Delwarde, A., Denuit, M., Guillen, M., and Vidiella, A. (2003). Application of the Poisson Log-Bilinear Projection Model to the G5 Mortality Experience. Belgian Actuarial Bulletin, 6:54–68.
Fledelius, P., Guillen, M., Nielsen, J., and Petersen, K. (2004). A Comparative Study of Parametric and Nonparametric Estimators of old age Mortality in Sweden. Journal of Actuarial Practice, 11:101–126.
Gatzert, N. and Wesker, H. (2011). Mortality Risk and its Effect on Shortfall and Risk Management in Life Insurance.
Guillen, M. (2012). Sexless and Beautiful Data: from Quantity to Quality. The Annals of Actuarial Science, 6(2):231–234.
Hastie, T. J. and Tibshirani, R. J. (1990). Generalized Additive Models. Chapman and Hall.
Lee, R. and Carter, L. (1992). Modeling and Forecasting U. S. Mortality. Journal of the American Statistical Association, 87:659–671.
Pitacco, E., Denuit, M., Haberman, S., and Olivieri, A. (2009). Modelling Longevity Dynamics for Pensions and Annuity Business. United States: Oxford University Press.
Renshaw, A. and Haberman, S. (2003). Lee-Carter Mortality Forecasting: a Parallel Generalized Linear Modelling Approach for England and Wales Mortality Projections. Journal of the Royal Statistical Society Series C, 52(1):119–137.
Renshaw, A. and Haberman, S. (2006). A Cohort-Based Extension to the Lee-Carter Model for Mortality Reduction Factors. Insurance: Mathematics and Economics, 38(3):556–570.
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