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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/131516


    Title: 仿射AFNS利率模型參數之校準方法探討
    Calibrating the arbitrage-free Nelson-Siegel model
    Authors: 陳文忠
    Chen, Wen-Chung
    Contributors: 謝明華
    Hsieh, Ming-Hua
    陳文忠
    Chen, Wen-Chung
    Keywords: 利率期限模型
    參數校準
    AFNS 模型
    Nelder-Mead 方法
    Term Structure Model
    Calibration
    AFNS model
    Nelder-Mead
    Date: 2020
    Issue Date: 2020-09-02 11:51:18 (UTC+8)
    Abstract: Arbitrage Free Nelson Siegel model (AFNS model) 為滿足無套利條件且具優良配適與預測能力之利率模型,本研究探討 AFNS model 參數之校準方法。文中以台灣公債利率資料與美國公債利率資料為例,使用兩種不同的方式,搭配最小平方法與 Nelder-Mead 方法來校準參數,並比較其計算結果之差異。本文發現第二種參數校準方式可以有效率且準確地找出參數校準值。
    Arbitrage-Free Nelson Siegel models is an affine term structure model that satisfies no-arbitrage condition and displays good fit and superior forecasting performance. This study explores the calibration method of AFNS model parameters. In this paper, the interest rate data of Taiwan government bonds and US government bonds are used as examples. Two methods are used, combined with the least square method and the Nelder-Mead method to calibrate the parameters, and the differences in the calculation results are compared. This article found that the second calibration method can efficiently and accurately find the parameter calibration value.
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    Tourrucôo, F., Caldeira, J. F., Moura, G., & Santos, A. (2016). Forecasting the yield curve with the arbitrage-free dynamic Nelson–Siegel model: Brazilian evidence. Anais do XLII Encontro Nacional de Economia [Proceedings of the 42nd Brazilian Economics Meeting]. Niterói: ANPEC-Associação Nacional dos Centros de Pós Graduação em Economia [Brazilian Association of Graduate Programs in Economics],
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    Xu, Y., Sherris, M., & Ziveyi, J. (2019). Market Price of Longevity Risk for a Multi‐Cohort Mortality Model With Application to Longevity Bond Option Pricing. Journal of Risk and Insurance.
    Description: 碩士
    國立政治大學
    風險管理與保險學系
    107358026
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0107358026
    Data Type: thesis
    DOI: 10.6814/NCCU202001669
    Appears in Collections:[風險管理與保險學系] 學位論文

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