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題名 Pricing guaranteed minimum/lifetime withdrawal benefits with various provisions under investment, interest rate and mortality risks
作者 Dai, Tian-Shyr;Yang, Sharon S.;Liu, Liang-Chih
楊曉文
貢獻者 風險管理與保險學系
關鍵詞 uaranteed life withdrawal benefits; Surrender option; Variable annuity; Interest rate risk; Mortality risk
日期 2015-09
上傳時間 7-Aug-2017 17:39:45 (UTC+8)
摘要 Many variable annuity products associated with guaranteed minimum withdrawal benefit (GMWB) or its lifelong version, a guaranteed lifelong withdrawal benefit (GLWB), have enjoyed great market success in the United States and Asia. The interaction impacts among complex policy provisions and the randomness of the account value of the policy, the prevailing interest rate, as well as the mortality rate may significantly influence the evaluations of GMWBs/GMLBs, especially when the guaranteed payments are made over a long, or even a lifelong, horizon. To deal with aforementioned risk factors and policy provisions, this paper proposes a novel three-dimensional (3D) tree that can analyze how different policy provisions influence the evaluation of GMWB/GLWBs under investment interest rate, and mortality risks simultaneously. The orthogonalization method is used to convert correlated dynamics of the account value of the policy and the short-term interest rate into two independent processes that can be easily simulated by our 3D tree. Besides, the structure of our 3D tree is sophisticatedly designed to avoid the unstable (oscillating) pricing results phenomenon that has characterized many numerical pricing methods. Rigorous numerical experiments are given to analyze the interaction effects among policy provisions and the aforementioned risk factors on the evaluation of GMWBs/GLWBs. © 2015 Elsevier B.V.
關聯 Insurance: Mathematics and Economics, 64(), 364-379
資料類型 article
DOI http://dx.doi.org/10.1016/j.insmatheco.2015.04.003
dc.contributor 風險管理與保險學系zh_Tw
dc.creator (作者) Dai, Tian-Shyr;Yang, Sharon S.;Liu, Liang-Chihen_US
dc.creator (作者) 楊曉文zh_TW
dc.date (日期) 2015-09en_US
dc.date.accessioned 7-Aug-2017 17:39:45 (UTC+8)-
dc.date.available 7-Aug-2017 17:39:45 (UTC+8)-
dc.date.issued (上傳時間) 7-Aug-2017 17:39:45 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/111649-
dc.description.abstract (摘要) Many variable annuity products associated with guaranteed minimum withdrawal benefit (GMWB) or its lifelong version, a guaranteed lifelong withdrawal benefit (GLWB), have enjoyed great market success in the United States and Asia. The interaction impacts among complex policy provisions and the randomness of the account value of the policy, the prevailing interest rate, as well as the mortality rate may significantly influence the evaluations of GMWBs/GMLBs, especially when the guaranteed payments are made over a long, or even a lifelong, horizon. To deal with aforementioned risk factors and policy provisions, this paper proposes a novel three-dimensional (3D) tree that can analyze how different policy provisions influence the evaluation of GMWB/GLWBs under investment interest rate, and mortality risks simultaneously. The orthogonalization method is used to convert correlated dynamics of the account value of the policy and the short-term interest rate into two independent processes that can be easily simulated by our 3D tree. Besides, the structure of our 3D tree is sophisticatedly designed to avoid the unstable (oscillating) pricing results phenomenon that has characterized many numerical pricing methods. Rigorous numerical experiments are given to analyze the interaction effects among policy provisions and the aforementioned risk factors on the evaluation of GMWBs/GLWBs. © 2015 Elsevier B.V.en_US
dc.format.extent 968047 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Insurance: Mathematics and Economics, 64(), 364-379en_US
dc.subject (關鍵詞) uaranteed life withdrawal benefits; Surrender option; Variable annuity; Interest rate risk; Mortality risken_US
dc.title (題名) Pricing guaranteed minimum/lifetime withdrawal benefits with various provisions under investment, interest rate and mortality risksen_US
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1016/j.insmatheco.2015.04.003
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.insmatheco.2015.04.003