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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/49688


    Title: 應用Nelson-Siegel系列模型預測死亡率－以英國為例
    Authors: 宮可倫
    Contributors: 蔡政憲
    宮可倫
    Keywords: 隨機死亡率模型
    Nelson-Siegel利率模型
    死亡率預測
    Stochastic mortality model
    Nelson-Siegel interest rate model
    Mortality forecast
    Date: 2008
    Issue Date: 2010-12-08 16:47:06 (UTC+8)
    Abstract: 無
    　　Existing literature has shown that force of mortality has amazing resemblance of interest rate. It is then tempting to extend existing model of interest rate model context to mortality modeling. We apply the model in Diebold and Li (2006) and other models that belong to family of yield rate model originally proposed by Nelson and Siegel (1987) to forecast (force of) mortality term structure. The fitting performance of extended Nelson-Siegel model is comparable to the benchmark Lee-Carter model. While forecasting performance is no better than Lee-Carter model in younger ages, it is at the same level in elder ages. The forecasting performance increases for 5-year ahead forecast is better than 1-year ahead comparing to Lee-Carter forecast. In the end, the forecast outperforms Lee-Carter model when age dimension is trimmed to age 20-100.
    Reference: Bolder, D., and D. Str_eliski, 1999, “Yield Curve Modelling at the Bank of Canada,” Technical Report No. 84.
    Cairns, A., D. Blake, and K. Dowd, 2006a, “Pricing Death: Frameworks for the Valuation and Securitization of Mortality Risk,” Astin Bulletin, 36(1), 79-120.
    ------, 2006b, “A Two-Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration,” Journal of Risk & Insurance, 73(4), 687-718.
    ------, 2008, “Modelling and Management of Mortality Risk: A Review,” North American Actuarial Journal, 13(1), 1-35.
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    Diebold, F., and C. Li, 2006, “Forecasting the term structure of government bond yields,” Journal of Econometrics, 130(2), 337-364.
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    Koopman, S. J., M. Mallee, and M. V. der Wel, Forthcoming, “Analyzing the Term Structure of Interest Rates Using the Dynamic Nelson-Siegel Model with Time-Varying Parameters,” Journal of Business and Economic Statistic.
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    Renshaw, A., and S. Haberman, 2003, “Lee-Carter mortality forecasting with age-specific enhancement,” Insurance Mathematics and Economics, 33, 255-272.
    ------, 2006, “A cohort-based extension to the Lee-Carter model for mortality reduction factors,” Insurance Mathematics and Economics, 38, 556-570.
    Schrager, D., 2006, “Affine stochastic mortality,” Insurance Mathematics and Economics, 38, 81-97.
    Svensson, L. E. O., 1994, “Estimating and Interpreting Forward Interest Rate: Sweden 1992 - 1994,” Working Paper 4871, National Bureau of Economic Research.
    Thiele, T. N., 1872, “On a mathematical formula to express the rate of mortality throughout the whole of life,” Journal of the Institute of Actuaries, 16, 313-329.
    Wong-Fupuy, C., and S. Haberman, 2004, “Projecting Mortality Trends: Recent Developments in the United Kingdom and the United States,” North American Acturial Journal, 8(2), 56-83.
    Description: 碩士
    國立政治大學
    風險管理與保險研究所
    96358015
    97
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0963580151
    Data Type: thesis
    Appears in Collections:[Department of Risk Management and Insurance] Theses

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