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胡仕强, 龙宇
胡仕强, 龙宇. 基于跳跃扩散死亡率模型的新型年金定价及其风险评估[J]. 系统科学与数学, 2023, 43(4): 929-946.
HU Shiqiang, LONG Yu. Mortality-Linked Annuity Pricing and Its Risk Assessment Based on a Jump Diffusion Stochastic Mortality Model[J]. Journal of Systems Science and Mathematical Sciences, 2023, 43(4): 929-946.
HU Shiqiang, LONG Yu
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[1] Lee R D, Carter L R. Modeling and forecasting US mortality. J. Am. Stat. Assoc., 1992, 87(419):659-671. [2] Brouhns N, Denuit M, Vermunt J K. A Poisson log-bilinear regression approach to the construction of projected lifetables. Insur. Math. Econ., 2002, 31:373-393. [3] Renshaw A E, Haberman S. A cohort-based extension to the Lee-Carter model for mortality reduction factors. Insur. Math. Econ., 2006, 38(3):556-570. [4] 李志生, 刘恒甲. Lee-Carter死亡率模型的估计与应用——基于中国人口数据的分析. 中国人口科学,2010, 3:46-56. (Li Z S, Liu H J. Estimation and application of the Lee-Carter model:Based on demographic data of China. Chinese Journal of Population Science, 2010, 3:46-56.) [5] 曾燕, 陈曦, 邓颖璐. 创新的动态人口死亡率预测及其应用. 系统工程理论与实践, 2016, 36(7):1710-1718. (Zeng Y, Chen X, Deng Y L. Innovative dynamic mortality rate prediction and implementation. Systems Engineering-Theory & Practice, 2016, 36(7):1710-1718.) [6] Dahl M. Stochastic mortality in life insurance:Reserves and mortality-linked insurance contracts. Insur. Math. Econ., 2004, 35(1):113-136. [7] Cox S H, Lin Y, Wang S. Multivariate exponential tilting and pricing implications for mortality securitization. J. Risk Insur., 2006, 73(4):719-736. [8] Cox S H, Lin Y, Pedersen H. Mortality risk modeling:Applications to insurance securitization. Insur. Math. Econ., 2010, 46(1):242-253. [9] Jorge M, Bravo A B C D, Jpvn E. Pricing longevity derivatives via Fourier transforms. Insur. Math. Econ., 2021, 96:81-97. [10] Blake D, Cairns A J, Dowd K. Living with mortality:Longevity bonds and other mortality-linked securities. Br. Acturarial J., 2006, 12(1):153-197. [11] Cairns A J G. Robust hedging of longevity risk. J. Risk Insur., 2013, 80:621-648. [12] Wang C W, Yang S S, Huang H C. Modeling mufti-country mortality dependence and its application in pricing survivor index swaps-A dynamic copula approach. Insur. Math. Econ., 2015, 63:30-39. [13] Hao J F, Wang H Y, et al. Mortality prediction and longevity bond pricing based on population data in China. Proceedings of 2016 China International Conference on Insurance and Risk Management, 2016, 701-721. [14] Leung M, Fung M C, O'Hare C. A comparative study of pricing approaches for longevity instruments. Insur. Math. Econ., 2018, 82:95-116. [15] Dawson P, Blake D, Cairns A J G, et al. Survivor derivatives:A consistent pricing framework. J. Risk Insur.:2010, 77(3), 579-596. [16] Martin M B, Stentoft L. If we can simulate it, we can insure it:An application to longevity risk management. Insur. Math. Econ., 2013, 52:35-45. [17] Yang B W, Li J, Balasooriya U. Using bootstrapping to incorporate model error for risk-neutral pricing of longevity risk. Insur. Math. Econ., 2015, 62:16-27. [18] Bravo J M, Freitas N M. Valuation of longevity-linked life annuities. Insur. Math. Econ., 2018, 78:212-229. [19] Chen A, Rach M. An innovative way of combining tontines and annuities. Insur. Math. Econ., 2019, 89:182-192. [20] Diane S M, Hanspeter S. Mortality options:The point of view of an insurer. Insur. Math. Econ., 2021, 96:98-115. [21] Wang S S. A class of distortion operators for pricing financial and insurance risks. J. Risk Insur., 2000, 67(1):15-36. [22] Mitchell O S, Poterba J M, Warshawsky M J, et al. New evidence on the money's worth of individual annuities. Am. Econ. Rev., 1999, 89(5):1299-1318. |
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