Optimal retirement products under subjective mortality beliefs

作者: An Chen , Peter Hieber , Manuel Rach

DOI: 10.1016/J.INSMATHECO.2020.07.002

关键词: TontineAttractivenessLife tableExpected utility hypothesisEmpirical researchAnnuity (American)Actuarial scienceLongevity riskEconomicsStatistics, Probability and UncertaintyEconomics and EconometricsStatistics and Probability

摘要: Abstract Many empirical studies confirm that policyholder’s subjective mortality beliefs deviate from the information given by publicly available tables. In this study, we look at effect of on perceived attractiveness retirement products, focusing two extreme conventional annuities (where insurance company takes longevity risk) and tontines a pool policyholders shares risk). If risk loadings charges are neglected, standard expected utility framework, without beliefs, leads to conclusion always preferred ( Yaari (1965) , Milevsky Salisbury (2015) ). same setting, show result is easily reversed if an individual perceives her peer’s life expectancies be lower than ones used company. We prove that, assuming such there exists critical tontine size which over annuity. This suggests might as much more attractive suggested theory beliefs.

参考文章(48)
Moshe A. Milevsky, Thomas S. Salisbury, Optimal retirement income tontines Insurance Mathematics & Economics. ,vol. 64, pp. 91- 105 ,(2015) , 10.1016/J.INSMATHECO.2015.05.002
Michael J. Sabin, Fair Tontine Annuity Social Science Research Network. ,(2010) , 10.2139/SSRN.1579932
Menahem E. Yaari, Uncertain Lifetime, Life Insurance, and the Theory of the Consumer The Review of Economic Studies. ,vol. 32, pp. 137- 150 ,(1965) , 10.2307/2296058
Ronald D. Lee, Lawrence R. Carter, Modeling and forecasting U. S. mortality Journal of the American Statistical Association. ,vol. 87, pp. 659- 671 ,(1992) , 10.1080/01621459.1992.10475265
Tadashi Yagi, Yasuyuki Nishigaki, The Inefficiency of Private Constant Annuities Journal of Risk and Insurance. ,vol. 60, pp. 385- ,(1993) , 10.2307/253035
Catherine Donnelly, Montserrat Guillén, Jens Perch Nielsen, Exchanging uncertain mortality for a cost Insurance Mathematics & Economics. ,vol. 52, pp. 65- 76 ,(2013) , 10.1016/J.INSMATHECO.2012.11.001
LEONID A. GAVRILOV, NATALIA S. GAVRILOVA, The reliability theory of aging and longevity. Journal of Theoretical Biology. ,vol. 213, pp. 527- 545 ,(2001) , 10.1006/JTBI.2001.2430
A. Ludwig, A. Zimper, A parsimonious model of subjective life expectancy Theory and Decision. ,vol. 75, pp. 519- 541 ,(2013) , 10.1007/S11238-013-9355-6
Michael Z. Stamos, Optimal consumption and portfolio choice for pooled annuity funds Insurance Mathematics & Economics. ,vol. 43, pp. 56- 68 ,(2008) , 10.1016/J.INSMATHECO.2007.09.010