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題名 固定給付制退休金之最佳控管:隨機模擬方法之應用
作者 張乃懿
Chang, Nai Yi
貢獻者 黃泓智
張乃懿
Chang, Nai Yi
關鍵詞 下跌風險
最佳化退休金基金
隨機模擬
downside risks
optimal pension planning
stochastic simulation
日期 2004
上傳時間 2009-09-18
摘要 本研究中以隨機模擬的方法應用於退休金最佳控制理論中,並將下跌風險(Downside Risks)加入二次最佳化函數中作為最適化準則,再以英國與美加地區不同提撥率模型做為研究對象,觀察不同情境下之結果。Haberman(1994)首先提出以最適化方法應用於固定給付制退休金基金上,並具體建立二次最適化準則,以提撥與資產的變異作為控制因子。Chang(2003)以下跌風險的觀念,指出退休金基金經營時管理人常較注意提撥過多與資產不足風險,若經營時考慮下跌風險,則會產生與原來考量不同之結果。本文以Chang(2003)之研究為基礎,將其建議之最佳化函數做為考量下跌風險之依據,並提出改良英國與美加地區之提撥率模型,採模擬的方式進行最佳化,探討其對不同提撥率模型之影響。研究結果發現若以隨機模擬作為最佳控制方法,在不同人口假設及精算模型下,會產生相同之結果,且發現下跌風險對於不同提撥率模型有不同之影響,其中建議的英式模型有效降低風險,而美式提撥率模型對於提撥率比例與資產負債比例在最佳化下有較理想之結果。最重要的,退休金基金管理人可利用隨機模擬的方式進行最佳化控制,以提供決策之參考依據。
參考文獻 中文部分
繆震宇,2001。台灣退休基金最適提撥與資產配置之研究,證券市場發展季刊,第十三卷第三期:101-130。
繆震宇、邱顯比,民國92年,「固定提撥費率下退休金基金動態資產配置之探討」,台灣管理學刊,第二券第二期,頁77-98。
繆震宇,民國93年,「確定給付制退休基金的最適資產配置」,管理學報,第二十券第一期,頁177-199。
英文部分
Anderson, W. (1992) Pension Mathematics for Actuaries. ACTEX Publications
Benjamin, S. (1984) An Actuarial layman looks at control theory. Transactions of 22nd International Congress of Actuaries, 295-310.
Benjamin, S. (1989) Driving the pension fund. Journal of Institute of Actuaries 116, 717-735.
Cairns, A.J.G. and Parker, G. (1997) Stochastic pension fund modeling Insurance: Mathematics and Economics 21, 43-79
Cairns, A.J.G.(1994) An introduction to stochastic pension plan modeling.
Chang, S.C., (1999) Optimal pension funding through dynamic simulations: the case of Taiwan public employees retirement system. Insurance: Mathematics and Economics 24, 187-199.
Chang, S.C., Cheng, C.C., (2002) Allocating unfunded liability in pension valuation under uncertainty. Insurance: Mathematics and Economics 30, 371-387
Chang, S.C., (2003) Pension funding incorporating downside risks. Insurance: Mathematics and Economics 32, 217-228.
Dufresne, D. (1988) Moments of pension contributions and fund levels when rates of return are random. Journal of the Institute of Actuaries 115, 535-544.
Dufresne, D. (1989b) Stability of pension systems when rates of return are random. Insurance: mathematics and Economics 8, 71-76.
Dufresne, D. (1990) The distribution of a perpetuity, with applications to risk theory and pension funding. Scandinavian Actuarial Journal 1990, 39-79
Haberman, S, A, Zimbidis (1993) Delay, Feedback and Variability of Pension Contributions and Fund Levels. Insurance: Mathematics and Economics 13 , 271-285.
Haberman, S. (1993a) Pension funding with time delays and autoregressive rates of investment return. Insurance: Mathematics and Economics 13, 45-56.
Haberman, S. (1994) Dynamic approaches to pension funding. Insurance: Mathematics and Economics 15, 151-162.
Haberman, S., Sung, J-H (1994) Dynamic approaches to pension funding. Insurance: Mathematics and Economics 15, 151-162
Haberman, S., Wong, L.Y., (1997) Moving average rates of return and the variability of pension contributions and fund levels for a defined benefit pension scheme, Insurance: Mathematics and Economics 20, 115-135.
Huang, H.C. (2000) Stochastic modeling and control of pension plans. Ph.D. Thesis, Heriot-Watt University.
Lee, E.M. (1986) An introduction to pension schemes. Institute of Actuaries, London.
O`Brien, T. (1987) A two-parameter family of pension contribution functions and stochastic optimization. Insurance: Mathematics and Economics 6, 129-134
Owadally, M.I., Haberman, (1997) Pension fund dynamics and surpluses/deficits due to random rates of return. Proceedings of the 7th AFIR International Colloquium, on August 14–15, 1997, in Cairns, Queensland, Australia, 1, 379–399.
Owadally, M.I., Haberman, (1999) Pension fund dynamics and gain/losses due to random rates of investment return. North American Actuarial Journal 3, 105-117.
Vanderbroek, M. (1990)P Pension funding and optimal control. Mitteilungen der schweizerische Vereinigung der Versicherungsmathematiker 2, 313-325.
Wilkie, A.D., (1986) A Stochastic Investment Model for Actuarial use
Transactions of the Faculty of Actuaries 39, 341-391.
Wilkie, A.D., (1995) More on a Stochastic Asset Model for Actuarial Use British Actuarial Journal 1(V), 777-964.
描述 碩士
國立政治大學
風險管理與保險研究所
91358018
93
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0913580181
資料類型 thesis
dc.contributor.advisor 黃泓智zh_TW
dc.contributor.author (Authors) 張乃懿zh_TW
dc.contributor.author (Authors) Chang, Nai Yien_US
dc.creator (作者) 張乃懿zh_TW
dc.creator (作者) Chang, Nai Yien_US
dc.date (日期) 2004en_US
dc.date.accessioned 2009-09-18-
dc.date.available 2009-09-18-
dc.date.issued (上傳時間) 2009-09-18-
dc.identifier (Other Identifiers) G0913580181en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/34157-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 風險管理與保險研究所zh_TW
dc.description (描述) 91358018zh_TW
dc.description (描述) 93zh_TW
dc.description.abstract (摘要) 本研究中以隨機模擬的方法應用於退休金最佳控制理論中,並將下跌風險(Downside Risks)加入二次最佳化函數中作為最適化準則,再以英國與美加地區不同提撥率模型做為研究對象,觀察不同情境下之結果。Haberman(1994)首先提出以最適化方法應用於固定給付制退休金基金上,並具體建立二次最適化準則,以提撥與資產的變異作為控制因子。Chang(2003)以下跌風險的觀念,指出退休金基金經營時管理人常較注意提撥過多與資產不足風險,若經營時考慮下跌風險,則會產生與原來考量不同之結果。本文以Chang(2003)之研究為基礎,將其建議之最佳化函數做為考量下跌風險之依據,並提出改良英國與美加地區之提撥率模型,採模擬的方式進行最佳化,探討其對不同提撥率模型之影響。研究結果發現若以隨機模擬作為最佳控制方法,在不同人口假設及精算模型下,會產生相同之結果,且發現下跌風險對於不同提撥率模型有不同之影響,其中建議的英式模型有效降低風險,而美式提撥率模型對於提撥率比例與資產負債比例在最佳化下有較理想之結果。最重要的,退休金基金管理人可利用隨機模擬的方式進行最佳化控制,以提供決策之參考依據。zh_TW
dc.description.tableofcontents 第一章、 緒論 1
第一節 研究動機與目的 1
第二節 文獻回顧 3
第二章、 研究方法與模型 13
第一節 研究方法 13
第二節 精算模型 14
第三節 提撥率模型 20
第四節 最佳化模型 22
第三章、 數值結果與分析 24
第四章、 結論與建議 39
第一節 結論 39
第二節 後續研究之建議 41




表目錄
表一、最適化下風險、提撥率與資產比例模擬結果 25
表二、最適化投資組合與攤提策略模擬結果 34
表三、最適化下風險、提撥率與資產比例模擬結果(權重降低) 36
表四、最適化下風險、提撥率與資產比例模擬結果(模擬時間縮短) 37

圖目錄
圖一、改進英式提撥模型之提撥率走勢 29
圖二、英式提撥模型之提撥率走勢 30
圖三、美式提撥模型提撥率走勢 31
圖四、改進英式提撥模型資產負債比例走勢 32
圖五、英式提撥模型資產負債比例走勢 32
圖六、美式提撥模型資產負債比例走勢 33
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0913580181en_US
dc.subject (關鍵詞) 下跌風險zh_TW
dc.subject (關鍵詞) 最佳化退休金基金zh_TW
dc.subject (關鍵詞) 隨機模擬zh_TW
dc.subject (關鍵詞) downside risksen_US
dc.subject (關鍵詞) optimal pension planningen_US
dc.subject (關鍵詞) stochastic simulationen_US
dc.title (題名) 固定給付制退休金之最佳控管:隨機模擬方法之應用zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 中文部分zh_TW
dc.relation.reference (參考文獻) 繆震宇,2001。台灣退休基金最適提撥與資產配置之研究,證券市場發展季刊,第十三卷第三期:101-130。zh_TW
dc.relation.reference (參考文獻) 繆震宇、邱顯比,民國92年,「固定提撥費率下退休金基金動態資產配置之探討」,台灣管理學刊,第二券第二期,頁77-98。zh_TW
dc.relation.reference (參考文獻) 繆震宇,民國93年,「確定給付制退休基金的最適資產配置」,管理學報,第二十券第一期,頁177-199。zh_TW
dc.relation.reference (參考文獻) 英文部分zh_TW
dc.relation.reference (參考文獻) Anderson, W. (1992) Pension Mathematics for Actuaries. ACTEX Publicationszh_TW
dc.relation.reference (參考文獻) Benjamin, S. (1984) An Actuarial layman looks at control theory. Transactions of 22nd International Congress of Actuaries, 295-310.zh_TW
dc.relation.reference (參考文獻) Benjamin, S. (1989) Driving the pension fund. Journal of Institute of Actuaries 116, 717-735.zh_TW
dc.relation.reference (參考文獻) Cairns, A.J.G. and Parker, G. (1997) Stochastic pension fund modeling Insurance: Mathematics and Economics 21, 43-79zh_TW
dc.relation.reference (參考文獻) Cairns, A.J.G.(1994) An introduction to stochastic pension plan modeling.zh_TW
dc.relation.reference (參考文獻) Chang, S.C., (1999) Optimal pension funding through dynamic simulations: the case of Taiwan public employees retirement system. Insurance: Mathematics and Economics 24, 187-199.zh_TW
dc.relation.reference (參考文獻) Chang, S.C., Cheng, C.C., (2002) Allocating unfunded liability in pension valuation under uncertainty. Insurance: Mathematics and Economics 30, 371-387zh_TW
dc.relation.reference (參考文獻) Chang, S.C., (2003) Pension funding incorporating downside risks. Insurance: Mathematics and Economics 32, 217-228.zh_TW
dc.relation.reference (參考文獻) Dufresne, D. (1988) Moments of pension contributions and fund levels when rates of return are random. Journal of the Institute of Actuaries 115, 535-544.zh_TW
dc.relation.reference (參考文獻) Dufresne, D. (1989b) Stability of pension systems when rates of return are random. Insurance: mathematics and Economics 8, 71-76.zh_TW
dc.relation.reference (參考文獻) Dufresne, D. (1990) The distribution of a perpetuity, with applications to risk theory and pension funding. Scandinavian Actuarial Journal 1990, 39-79zh_TW
dc.relation.reference (參考文獻) Haberman, S, A, Zimbidis (1993) Delay, Feedback and Variability of Pension Contributions and Fund Levels. Insurance: Mathematics and Economics 13 , 271-285.zh_TW
dc.relation.reference (參考文獻) Haberman, S. (1993a) Pension funding with time delays and autoregressive rates of investment return. Insurance: Mathematics and Economics 13, 45-56.zh_TW
dc.relation.reference (參考文獻) Haberman, S. (1994) Dynamic approaches to pension funding. Insurance: Mathematics and Economics 15, 151-162.zh_TW
dc.relation.reference (參考文獻) Haberman, S., Sung, J-H (1994) Dynamic approaches to pension funding. Insurance: Mathematics and Economics 15, 151-162zh_TW
dc.relation.reference (參考文獻) Haberman, S., Wong, L.Y., (1997) Moving average rates of return and the variability of pension contributions and fund levels for a defined benefit pension scheme, Insurance: Mathematics and Economics 20, 115-135.zh_TW
dc.relation.reference (參考文獻) Huang, H.C. (2000) Stochastic modeling and control of pension plans. Ph.D. Thesis, Heriot-Watt University.zh_TW
dc.relation.reference (參考文獻) Lee, E.M. (1986) An introduction to pension schemes. Institute of Actuaries, London.zh_TW
dc.relation.reference (參考文獻) O`Brien, T. (1987) A two-parameter family of pension contribution functions and stochastic optimization. Insurance: Mathematics and Economics 6, 129-134zh_TW
dc.relation.reference (參考文獻) Owadally, M.I., Haberman, (1997) Pension fund dynamics and surpluses/deficits due to random rates of return. Proceedings of the 7th AFIR International Colloquium, on August 14–15, 1997, in Cairns, Queensland, Australia, 1, 379–399.zh_TW
dc.relation.reference (參考文獻) Owadally, M.I., Haberman, (1999) Pension fund dynamics and gain/losses due to random rates of investment return. North American Actuarial Journal 3, 105-117.zh_TW
dc.relation.reference (參考文獻) Vanderbroek, M. (1990)P Pension funding and optimal control. Mitteilungen der schweizerische Vereinigung der Versicherungsmathematiker 2, 313-325.zh_TW
dc.relation.reference (參考文獻) Wilkie, A.D., (1986) A Stochastic Investment Model for Actuarial usezh_TW
dc.relation.reference (參考文獻) Transactions of the Faculty of Actuaries 39, 341-391.zh_TW
dc.relation.reference (參考文獻) Wilkie, A.D., (1995) More on a Stochastic Asset Model for Actuarial Use British Actuarial Journal 1(V), 777-964.zh_TW