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2019 | 128 | 2 | 315-327
Article title

Joint Life Term Insurance Reserves Use the Retrospective Method Based on De Moivre Law

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Abstracts
EN
Joint Life Insurance futures is life insurance that covers two or more people within n years. The policy holder will get benefits from the insurance company if one of the combined insurance insured dies during the period of protection. It is likely that the insurance company will incur a loss if the claim is greater than predicted. Therefore, it is necessary to calculate premium reserves for insurance companies to predict company losses in the future. The method used to calculate premium reserves is the retrospective method. Premium reserves are calculated based on the 2011 TMI and De Moivre's assumptions. The results of the annual premium calculation based on assumptions are greater than using TMI 2011, because life opportunities based on assumptions are relatively small, while premium reserves are based on smaller assumptions than using 2011 TMI because the size of the reserves depends on the development of premiums.
Year
Volume
128
Issue
2
Pages
315-327
Physical description
Contributors
author
  • Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Indonesia
author
  • Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Padjadjaran, Indonesia
  • Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Padjadjaran, Indonesia
  • Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Padjadjaran, Indonesia
  • Department of Marine Science, Faculty of Fishery and Marine Science, Universitas Padjadjaran, Indonesia
References
  • [1] C. Cheng and J. Li, Insurance : Mathematics and Economics Early default risk and surrender risk : Impacts on participating life, Insur. Math. Econ. vol. 78, pp. 30–43, 2018.
  • [2] Y. Yang, Q. Lan, P. Liu, and L. Ma, Insurance as a market mechanism in managing regional environmental and safety risks, Resour. Conserv. Recycl. vol. 124, no. March, pp. 62–66, 2017.
  • [3] M. M. Jantsje, W. J. Botzen, and B. E. Julia, Behavioral motivations for self-insurance under different disaster risk insurance schemes, Journal of Economic Behavior & Organization. 2018. https://doi.org/10.1016/j.jebo.2018.12.007
  • [4] H. Jin-Li and Y. Hsueh-E, Risk management in life insurance companies: Evidence from Taiwan. North American Journal of Economics and Finance 29 (2014) 185-199. http://dx.doi.org/10.1016/j.najef.2014.06.012
  • [5] Liang, Xiaoqing & Young, Virginia R., 2018. Minimizing the probability of ruin: Optimal per-loss reinsurance. Insurance: Mathematics and Economics, vol. 82(C), pages 181-190.
  • [6] A. Chen, Loss analysis of a life insurance company applying discrete-time risk-minimizing hedging strategies, Insur. Math. Econ., 42(3), pp. 1035-1049, 2008.
  • [7] G. Keller, V. Novák, and T. Willems, A note on optimal experimentation under risk aversion. J. Econ. Theory, vol. 179, pp. 476–487, 2019.
  • [8] Dionne, G., & Li, J. (2011). The impact of prudence on optimal prevention revisited. Economics Letters, 113(2), 147-149. doi: 10.1016/j.econlet.2011.06.019
  • [9] C. Courbage and B. Rey, Optimal prevention and other risks in a two-period model, Math. Soc. Sci. vol. 63, no. 3, pp. 213–217, 2012.
  • [10] N. Han and M. Hung, Optimal consumption , portfolio, and life insurance policies under interest rate and inflation risks, Insur. Math. Econ. vol. 73, issue C, pp. 54–67, 2017.
  • [11] F. E. Szabo, Actuarial Education, Astuaries' Survival Geide. pp. 91-184, 2004.
  • [12] C. Ceci, K. Colaneri, and A. Cretarola, Unit-linked life insurance policies : Optimal hedging in partially observable market models, Insur. Math. Econ. vol. 76, pp. 149–163, 2017.
  • [13] A. Bohnert, N. Gatzert, and P. Løchte, On the management of life insurance company risk by strategic choice of product mix , investment strategy and surplus appropriation schemes, Insur. Math. Econ., vol. 60, pp. 83–97, 2015.
  • [14] R. Kumar, Valuation of China life insurance, Theories and Concepts. pp. 387-395, 2016.
  • [15] H. Young and A. Shemyakin, Princing Practices for Joint Last Survivor Insurance, Funded by Scociety Actuar. no. 58, 2012.
  • [16] H. Gasoyan, G. Tajeu, M. T. Halpern, and D. B. Sarwer, Reasons for Underutilization of Bariatric Surgery: The Role of Insurance Benefit Design, Surg Obes Relat Dis. 2019 Jan; 15(1): 146-151. doi: 10.1016/j.soard.2018.10.005.
  • [17] N. D. Groot and B. V. Klaauw, The effects of reducing the entitlement period to unemployment insurance benefits, Lab. Eco. vol. 57, pp. 195-208, 2018.
  • [18] . Chen, L. Lin, Y. Lu and G. Parker, Analysis of survivorship life insurance portfolios with stochastic rates of return, Insur. Math. Econ., vol. 75, pp. 16-31, 2017.
  • [19] A. Bohnert and N. Gatzert, Analyzing surplus appropriation schemes in participating life insurance from the insurer ’ s and the policyholder ’ s perspective, Insur. Math. Econ., vol. 50, no. 1, pp. 64–78, 2012.
  • [20] N. Gatzert and A. Kling, Analysis of Participating Life Insurance Contracts: A Unification Approach. Journal of Risk & Insurance, 2007, vol. 74, issue 3, 547-570
  • [21] N. Gatzert and H. Schmeiser, Asset Management And Surplus Distribution Strategies In Life Insurance: An Examination With Respect to Risk Pricing And Risk Measurement, Insur. Math. Econ. vol. 42, pp. 839-849, 2008.
  • [22] H. S. Bhamra and R. Uppal, The role of risk aversion and intertemporal substitution in dynamic consumption-portfolio choice with recursive utility, Journal of Economic Dynamics and Control, vol. 30, pp. 967–991, 2006.
  • [23] J. Nian-Nian, L. Yue, and W. Dong-Hui. Installment Joint Life Insurance Actuarial Models with the Stochastic Interest Rate. Proceedings of the 2014 International Conference on Management Science and Management Innovation,. 2014
  • [24] B. Djehiche and B. Löfdahl, Nonlinear reserving in life insurance : Aggregation and mean-field approximation, Insur. Math. Econ. vol. 69, pp. 1–13, 2016.
  • [25] E. A. Valdez, J. Vadiveloo, and U. Dias, Life insurance policy termination and survivorship, Insur. Math. Econ. vol. 58, no. Mathematics and Economics, pp. 138–149, 2014.
  • [26] H. Wolthuis, The retrospective premium reserve. Insurance: Mathematics and Economics, vol. 9, pp. 229–234, 1990.
  • [27] J. M. Hoem, The versatility of the Markov chain as a tool in the mathematics of life insurance, Trans. 23rd Int. Congr. Actuar. vol. 3, pp. 171–202, 1988.
  • [28] L. Sanders and B. Melenberg, Estimating the joint survival probabilities of married individuals. Insur. Math. Econ. vol. 67, pp. 88–106, 2016.
  • [29] J. Vadiveloo, G. Niu, E. A. Valdez, and G. Gan, Unlocking Reserve Assumptions Using Retrospective Analysis, Actuarial Sciences and Quantitative Finance 2017. https://doi.org/10.1007/978-3-319-66536-8_2
  • [30] S. J. Olshansky, The Law of Mortality Revisited : Interspecies Comparisons of Mortality, J. Comp. Pathol. vol. 142, pp. S4–S9, 2010.
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article
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bwmeta1.element.psjd-51dda537-98d1-4b3d-82b2-62fc6e7e9a70
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