Haberman, Steven; Renshaw, Arthur Modelling and projecting mortality improvement rates using a cohort perspective. (English) Zbl 1284.91236 Insur. Math. Econ. 53, No. 1, 150-168 (2013). Summary: We investigate the feasibility of defining, modelling and projecting of (scaled) mortality improvement rates along cohort years-of-birth, that is, using a cohort perspective. This is in contrast to the approach in the literature which has considered mortality improvement rates that are defined by reference to changes in mortality rates over successive calendar years, that is, using a period perspective. In this paper, we offer a comparison of the 2 parallel approaches to modelling and forecasting using mortality improvement rates. Comparisons of simulated life expectancy and annuity value predictions (mainly by the cohort method) using the England & Wales population mortality experiences for males and females under a variety of controlled data trimming exercises are presented and comparisons are also made between the parallel cohort and period based approaches. Cited in 17 Documents MSC: 91B30 Risk theory, insurance (MSC2010) PDF BibTeX XML Cite \textit{S. Haberman} and \textit{A. Renshaw}, Insur. Math. Econ. 53, No. 1, 150--168 (2013; Zbl 1284.91236) Full Text: DOI Link OpenURL References: [1] Bongaarts, J., Long-range trends in adult mortality rates: models and projection methods, Demography, 42, 23-49, (2005) [2] Booth, H.; Maindonald, J.; Smith, L., Applying Lee-Carter under conditions of variable mortality decline, Population Studies, 56, 325-336, (2002) [3] Borger, M., 2010. Deterministic shock vs. stochastic value-at-risk—an analysis of the Solvency 2 standard model approach to longevity risk. Working paper. · Zbl 1232.91341 [4] Brouhns, N.; Denuit, M.; Vermunt, J. K., A Poisson log-bilinear regression approach to the construction of projected life-tables, Insurance: Mathematics & Economics, 31, 373-393, (2002) · Zbl 1074.62524 [5] CEIOPS, 2008. Quantitative Impact Study 4 Technical Specifications. [6] Dowd, K.; Cairns, A. J.G.; Blake, D.; Coughlan, G.; Epstein, D.; Khalaf-Allah, M., Backtesting stochastic mortality models: an ex post evaluation of multiperiod-ahead density forecasts, North American Actuarial Journal, 14, 3, 281-298, (2010) [7] Haberman, S.; Renshaw, A. E., Parametric mortality improvement rate modelling and projecting, Insurance: Mathematics & Economics, 50, 309-333, (2012) · Zbl 1237.91129 [8] Haberman, S.; Renshaw, A. E., A comparative study of parametric mortality projection models, Insurance: Mathematics & Economics, 45, 255-270, (2011) [9] Jarner, S. F.; Kryger, E. M., Modelling adult mortality in small populations: the SAINT model, ASTIN Bulletin, 41, 377-418, (2011) · Zbl 1239.91128 [10] Lee, R. D.; Carter, L., Modelling and forecasting the time series of US mortality, Journal of the American Statistical Association, 87, 659-671, (1992) [11] Lee, R. D.; Miller, T., Evaluating the performance of the Lee-Carter model for forecasting mortality, Demography, 38, 659-671, (2001) [12] Li, J. S.-H.; Chan, W.-S.; Cheung, S.-H., Structural changes in the Lee-Carter mortality indexes: detection and implications, North American Actuarial Journal, 15, 1, 13-31, (2011) [13] Mitchell, D., Brockett, P., Mendoza-Arriaga, R., Muthuraman, K., 2011. Modelling and forecasting mortality rates. Working paper. · Zbl 1284.91259 [14] Renshaw, A. E.; Haberman, S., Lee-Carter mortality forecasting with age-specific enhancement, Insurance: Mathematics & Economics, 33, 255-272, (2003) · Zbl 1103.91371 [15] Renshaw, A. E.; Haberman, S., A cohort extension to the Lee-Carter model for mortality reduction factors, Insurance: Mathematics & Economics, 38, 556-570, (2006) · Zbl 1168.91418 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.