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Assessing Delayed Retirement Policies Linked to Dynamic Life Expectancy with Stochastic Dynamic Mortality

Author

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  • Lei He

    (Hunan Key Laboratory of Macroeconomic Big Data Mining and Its Application, School of Business, Hunan Normal University, Changsha 410081, China)

  • Tianquan Zhong

    (Hunan Key Laboratory of Macroeconomic Big Data Mining and Its Application, School of Business, Hunan Normal University, Changsha 410081, China)

  • Zhenqi Wang

    (Hunan Key Laboratory of Macroeconomic Big Data Mining and Its Application, School of Business, Hunan Normal University, Changsha 410081, China)

Abstract

The question of how to effectively alleviate the financial pressure on pension insurance due to the increase in life expectancy has become an important issue in the reform of China’s social security system. This paper introduced two life expectancy-related delayed retirement schemes, namely the fixed expected retirement residual life and the fixed life burden ratio. We modeled the financial balance of the employee pension fund and the pension wealth of employees with a dynamic retirement age according to pension policy. Using the population mortality data, the dynamic retirement age under the two schemes was estimated under the stochastic mortality model. Following this, the impact of the two delayed retirement schemes was quantitatively assessed from the perspectives of the financial sustainability of the pension fund and the pension wealth of employees using insurance actuarial methods. This study found that the two life expectancy-related delayed retirement schemes have obvious effects on reducing the gap between the income and expenditure of the pension fund and increasing the pension wealth of employees. Moreover, it found that the fixed expected retirement residual life program contributes more than the fixed life burden ratio program to improve the financial sustainability of the pension fund and the pension wealth benefits of employees.

Suggested Citation

  • Lei He & Tianquan Zhong & Zhenqi Wang, 2023. "Assessing Delayed Retirement Policies Linked to Dynamic Life Expectancy with Stochastic Dynamic Mortality," Mathematics, MDPI, vol. 11(24), pages 1-16, December.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:24:p:4929-:d:1298251
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    References listed on IDEAS

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    1. Andrew Cairns & David Blake & Kevin Dowd & Guy Coughlan & David Epstein & Alen Ong & Igor Balevich, 2009. "A Quantitative Comparison of Stochastic Mortality Models Using Data From England and Wales and the United States," North American Actuarial Journal, Taylor & Francis Journals, vol. 13(1), pages 1-35.
    2. Andrew Cairns & David Blake & Kevin Dowd, 2008. "Modelling and management of mortality risk: a review," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2008(2-3), pages 79-113.
    3. Andrew J. G. Cairns & David Blake & Kevin Dowd, 2006. "A Two‐Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 687-718, December.
    4. Robert Meneu & Enrique Devesa & Mar Devesa & Inmaculada Domínguez & Borja Encinas, 2016. "Adjustment mechanisms and intergenerational actuarial neutrality in pension reforms," International Social Security Review, John Wiley & Sons, vol. 69(1), pages 87-107, January.
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    Cited by:

    1. Wenguang Yu & Yixin Gao & Rui Wang & Xiaohan Feng & Rong Sun & Yujuan Huang, 2024. "OLG Model Analysis of Delayed Retirement and Social Pension Effects on Family-Based Elderly Care in China," Mathematics, MDPI, vol. 12(21), pages 1-18, October.

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