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題名 應用Nelson-Siegel系列模型預測死亡率-以日本為例
作者 謝牧庭
貢獻者 蔡政憲
謝牧庭
關鍵詞 死亡率模型
自我相關模型
Diebold- Li
Svensson
日期 2008
上傳時間 8-Dec-2010 16:49:09 (UTC+8)
摘要 由於死亡率曲線與殖利率曲線同樣可用水平(level)、斜率(slope) 、曲度(curvature)來描述,且兩者之參數皆為受到時間因素影響之動態因子,故本研究應用Nelson-Siegel(1987)系列之動態利率期間結構模型,如Diebold and Li (2006)的三因子模型,針對日本1947至2006年死亡率進行配適,再以自我相關模型檢視因子的趨勢變化進而預測;結果發現本研究所使用模型在配適死亡率曲線上效果良好,而高齡人口死亡率預測上較幼年、青少年人口精確,以日本資料而言Svensson四因子模型相較於Lee-Carter模型預測能力佳,但在年輕人口死亡率中則不然。
The main purpose of this study is tempting to extend existing model in interest model context to mortality modeling. Since the mortality curve has resemblance of interest rate yield curve. Both of them can be describe by level, slope, and curvature terms. Also, the parameters of two curves are the function of time. We apply the Nelson and Siegel family yield rate models such like Diebold and Li (2006) model to fit and forecast the mortality term structure. By using the Japanese mortality data within 1947 to 2006, we find out that the fitting of these models are precise, especially when age dimension being truncated to age 20-103. The forecasting performances comparing with the benchmark Lee-Cater model is better in elder age but worse in younger age.
參考文獻 Cairns, A.J.G., Blake, D., Dowd, K.(2006). A two-factor model for stochastic mortality with parameter uncertainty: Theory and calibration. Journal of Risk & Insurance.
Diebold, Francis X. and Canlin Li, 2006, “Forecasting the Term Structure of Government Bond Yields,” Journal of Econometrics, Vol. 130, 337-364.
Dowd, K., Cairns, A.J.G., Blake, D., Coughlan, G.D., Epstein, D., and Khalaf-
Allah, M. (2008) Evaluating the Goodness of Fit of Stochastic Mortality Models
", Forthcoming, Pensions Institute Discussion Paper PI-0803.
Dowd, K., Cairns, A.J.G., Blake, D., Coughlan, G.D., Epstein, D., and Khalaf-Allah,
M.(2008)Backtesting Stochastic Mortality Models: An Ex-Post Evaluation of
Multi-Period-Ahead Density Forecasts", Forthcoming, Pensions Institute Discussion
Paper PI-0802.
Jens H. E. Christensen, Francis X. Diebold, Glenn D. Rudebusch. (2008).An Arbitrage-Free Generalized Nelson-Siegel Term Structure Model
Lee, R.D., Carter, L. R. (1992). Modeling and forecasting US mortality. Journal of the American Statistical Association 87 (419), p.659-675.
Lewis (1982). C.D. Lewis Industrial and business forecasting methods, Butterworths, London (1982).
Nelson, C and A Siegel. Parsimonious modeling of yield curves. Journal of Business,
Jan 1987.
Renshaw, A and Haberman,S.(2006). A cohort-based extension to the lee{carter model for mortality reduction factors. Insurance Mathematics and Economics.
Svensson, Lars E. O. (1995) “Estimating Forward Interest Rates with the Extended Nelson-Siegel Method,” Quarterly Review, No. 3, Sveriges Riksbank, 13-26
Wong-Fupuy, C. Haberman, S. (2004). Projecting Mortality Trends: Recent Developments in the United Kingdom and the United States
Willets,R. (2004). The cohort effect: insights and explanations - Actuarial Journal, Vol. 10, No. 4., pp. 833-877
余清祥、曾奕翔(2005),Lee-Carter模型分析:台灣地區死亡率推估之研究,2005年台灣人口學會學術研討會論文。
陳文琴(2008),「死亡率改善模型的探討及保險商品自然避險策略之應用」,政治大學風險管理與保險學系碩士論文
描述 碩士
國立政治大學
風險管理與保險研究所
96358016
97
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0963580161
資料類型 thesis
dc.contributor.advisor 蔡政憲zh_TW
dc.contributor.author (Authors) 謝牧庭zh_TW
dc.creator (作者) 謝牧庭zh_TW
dc.date (日期) 2008en_US
dc.date.accessioned 8-Dec-2010 16:49:09 (UTC+8)-
dc.date.available 8-Dec-2010 16:49:09 (UTC+8)-
dc.date.issued (上傳時間) 8-Dec-2010 16:49:09 (UTC+8)-
dc.identifier (Other Identifiers) G0963580161en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/49689-
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) 96358016zh_TW
dc.description (描述) 97zh_TW
dc.description.abstract (摘要) 由於死亡率曲線與殖利率曲線同樣可用水平(level)、斜率(slope) 、曲度(curvature)來描述,且兩者之參數皆為受到時間因素影響之動態因子,故本研究應用Nelson-Siegel(1987)系列之動態利率期間結構模型,如Diebold and Li (2006)的三因子模型,針對日本1947至2006年死亡率進行配適,再以自我相關模型檢視因子的趨勢變化進而預測;結果發現本研究所使用模型在配適死亡率曲線上效果良好,而高齡人口死亡率預測上較幼年、青少年人口精確,以日本資料而言Svensson四因子模型相較於Lee-Carter模型預測能力佳,但在年輕人口死亡率中則不然。zh_TW
dc.description.abstract (摘要) The main purpose of this study is tempting to extend existing model in interest model context to mortality modeling. Since the mortality curve has resemblance of interest rate yield curve. Both of them can be describe by level, slope, and curvature terms. Also, the parameters of two curves are the function of time. We apply the Nelson and Siegel family yield rate models such like Diebold and Li (2006) model to fit and forecast the mortality term structure. By using the Japanese mortality data within 1947 to 2006, we find out that the fitting of these models are precise, especially when age dimension being truncated to age 20-103. The forecasting performances comparing with the benchmark Lee-Cater model is better in elder age but worse in younger age.en_US
dc.description.tableofcontents 目錄
第一章 緒論 3
第二章 文獻探討 5
第一節 Nelson-Siegel系列利率模型發展 5
第二節 死亡率模型發展 7
第三節 Nelson-Siegel模型應用於死亡率 10
第三章 研究架構 11
第一節 死亡率的衡量方式 11
第二節 建構死亡率模型及參數解釋 12
第三節 研究步驟 15
第四章 實證結果 18
第一節 資料 18
第二節 Diebold-Li(DNS)三因子模型 20
第三節 Svensson(DNSS)四因子模型 27
第五章 結論 35
參考文獻 37
附錄一 模型配適各年度R-square值 39
附錄二 各年度預測之MAPE值 41
附錄三 各參數模型殘差圖 42
附錄四 20歲以上模型配適及預測相關圖表 44
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0963580161en_US
dc.subject (關鍵詞) 死亡率模型zh_TW
dc.subject (關鍵詞) 自我相關模型zh_TW
dc.subject (關鍵詞) Diebold- Lien_US
dc.subject (關鍵詞) Svenssonen_US
dc.title (題名) 應用Nelson-Siegel系列模型預測死亡率-以日本為例zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Cairns, A.J.G., Blake, D., Dowd, K.(2006). A two-factor model for stochastic mortality with parameter uncertainty: Theory and calibration. Journal of Risk & Insurance.zh_TW
dc.relation.reference (參考文獻) Diebold, Francis X. and Canlin Li, 2006, “Forecasting the Term Structure of Government Bond Yields,” Journal of Econometrics, Vol. 130, 337-364.zh_TW
dc.relation.reference (參考文獻) Dowd, K., Cairns, A.J.G., Blake, D., Coughlan, G.D., Epstein, D., and Khalaf-zh_TW
dc.relation.reference (參考文獻) Allah, M. (2008) Evaluating the Goodness of Fit of Stochastic Mortality Modelszh_TW
dc.relation.reference (參考文獻) ", Forthcoming, Pensions Institute Discussion Paper PI-0803.zh_TW
dc.relation.reference (參考文獻) Dowd, K., Cairns, A.J.G., Blake, D., Coughlan, G.D., Epstein, D., and Khalaf-Allah,zh_TW
dc.relation.reference (參考文獻) M.(2008)Backtesting Stochastic Mortality Models: An Ex-Post Evaluation ofzh_TW
dc.relation.reference (參考文獻) Multi-Period-Ahead Density Forecasts", Forthcoming, Pensions Institute Discussionzh_TW
dc.relation.reference (參考文獻) Paper PI-0802.zh_TW
dc.relation.reference (參考文獻) Jens H. E. Christensen, Francis X. Diebold, Glenn D. Rudebusch. (2008).An Arbitrage-Free Generalized Nelson-Siegel Term Structure Modelzh_TW
dc.relation.reference (參考文獻) Lee, R.D., Carter, L. R. (1992). Modeling and forecasting US mortality. Journal of the American Statistical Association 87 (419), p.659-675.zh_TW
dc.relation.reference (參考文獻) Lewis (1982). C.D. Lewis Industrial and business forecasting methods, Butterworths, London (1982).zh_TW
dc.relation.reference (參考文獻) Nelson, C and A Siegel. Parsimonious modeling of yield curves. Journal of Business,zh_TW
dc.relation.reference (參考文獻) Jan 1987.zh_TW
dc.relation.reference (參考文獻) Renshaw, A and Haberman,S.(2006). A cohort-based extension to the lee{carter model for mortality reduction factors. Insurance Mathematics and Economics.zh_TW
dc.relation.reference (參考文獻) Svensson, Lars E. O. (1995) “Estimating Forward Interest Rates with the Extended Nelson-Siegel Method,” Quarterly Review, No. 3, Sveriges Riksbank, 13-26zh_TW
dc.relation.reference (參考文獻) Wong-Fupuy, C. Haberman, S. (2004). Projecting Mortality Trends: Recent Developments in the United Kingdom and the United Stateszh_TW
dc.relation.reference (參考文獻) Willets,R. (2004). The cohort effect: insights and explanations - Actuarial Journal, Vol. 10, No. 4., pp. 833-877zh_TW
dc.relation.reference (參考文獻) 余清祥、曾奕翔(2005),Lee-Carter模型分析:台灣地區死亡率推估之研究,2005年台灣人口學會學術研討會論文。zh_TW
dc.relation.reference (參考文獻) 陳文琴(2008),「死亡率改善模型的探討及保險商品自然避險策略之應用」,政治大學風險管理與保險學系碩士論文zh_TW