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Financial Time Series Analysis by GARCH Model with Rational Functions

Research Project

Project/Area Number 22500267
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionHiroshima University of Economics

Principal Investigator

TAKAISHI Tetsuya  広島経済大学, 経済学部, 教授 (60299279)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords時系列解析 / モデル選択 / ベイズ推定 / マルコフ連鎖モンテカルロ法 / データサ イエンス / GARCH モデル / GARCHモデル / 情報量基準 / 実現ボラティリティ / AIC / DIC / 経済統計学 / 金融データ / 数理ファイナンス
Research Abstract

An asymmetric GARCH model is constructed with a rational function, called “R-GARCH” model. We compare the R-GARCH model with other asymmetric GARCH models such as EGARCH and GJR models by information criterions. We find that the R-GARCH model is superior to other models, depending on stock data we use. We also construct a GARCH model with an error term by a rational function and find that the model is superior to the GARCH model with a standard normal distribution.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (18 results)

All 2013 2012 2011 2010 Other

All Journal Article (7 results) (of which Peer Reviewed: 6 results) Presentation (10 results) Book (1 results)

  • [Journal Article] Empirical Analysis ofStochastic Volatility Model by Hybrid Monte Carlo Algorithm2013

    • Author(s)
      T.Takaishi
    • Journal Title

      Journal of Physics: conference series

      Volume: 423 Pages: 12021-12021

    • DOI

      10.1088/1742-6596/423/1/012021

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Finite-Sample Effects on the Standardized Returns of the Tokyo Stock Exchange2012

    • Author(s)
      T.Takaishi
    • Journal Title

      Procedia - Social and Behavioral Sciences

      Volume: 65 Pages: 968-973

    • DOI

      10.1016/j.sbspro.2012.11.228

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of Realized Volatility in Two Trading Sessions of the Japanese StockMarket2012

    • Author(s)
      T.Takaishi, T.T. Chen and Z.Zheng
    • Journal Title

      Progress of TheoreticalPhysics Suppl.

      Volume: 194 Pages: 43-54

    • DOI

      10.1143/ptps.194.43

    • NAID

      110009456869

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] BayesianInference of the GARCH model withRational Errors.2012

    • Author(s)
      T.Takaishi and T.T.Chen
    • Journal Title

      International Proceedings of Economics Development and Research

      Volume: Vol.29 Pages: 303-307

    • URL

      http://www.ipedr.com/vol29/55-CEBMM2012-R00014.pdf

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 分数誤差関数を利用したGA RCHモデルのベイズ推定2012

    • Author(s)
      高石哲弥
    • Journal Title

      金融時系列 分析の応用(広島経済大学研究双書

      Volume: 第39冊 Pages: 111-121

    • Related Report
      2012 Final Research Report
  • [Journal Article] Bayesian Inference of GARCH model with Rational Errors2012

    • Author(s)
      Tetsuya Takaishi
    • Journal Title

      International Proceedings of Economics Development and Research

      Volume: 29 Pages: 303-307

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of Spin Financial Market by GARCH Model

    • Author(s)
      T.Takaishi
    • Journal Title

      Journal of Physics: conference series

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Presentation] 分数関数プロセスをもつGARCHモデルによる株価時系列解析2013

    • Author(s)
      高石哲弥
    • Organizer
      JAFEE 2012 冬季大会
    • Place of Presentation
      筑波大学東京キャンパス文京校舎
    • Year and Date
      2013-01-25
    • Related Report
      2012 Final Research Report
  • [Presentation] Effects of Finite-Sample and Realized Kernels on Standardized Returns on the Tokyo Stock Exchange2012

    • Author(s)
      T.Takaishi
    • Organizer
      The Third International Conference" High-Frequency Data Analysis in Financial Markets
    • Place of Presentation
      広島経済大学
    • Year and Date
      2012-11-17
    • Related Report
      2012 Final Research Report
  • [Presentation] 分数誤差分布をもつGARC Hモデルによる金融時系列解析2012

    • Author(s)
      高石哲弥
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2012-09-10
    • Related Report
      2012 Final Research Report
  • [Presentation] 実現ボラティリティによって 標準化された株価収益率における有限サ ンプリング効果2012

    • Author(s)
      高石哲弥
    • Organizer
      JAFEE 2012 夏季大会
    • Place of Presentation
      成城大学
    • Year and Date
      2012-08-03
    • Related Report
      2012 Final Research Report
  • [Presentation] Analysis of realized volatility in two trading sessions of the Tokyo Stock Exchange2011

    • Author(s)
      Tetsuya Takaishi
    • Organizer
      The Second International Conference "High-frequency Data Analysis in Financial Markets
    • Place of Presentation
      大阪大学中之島センター
    • Year and Date
      2011-10-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] 東京証券取引所における株価 実現ボラティリティの分析2011

    • Author(s)
      高石哲弥
    • Organizer
      JAFEE 2011 夏季大会
    • Place of Presentation
      慶應 義塾大学・三田キャンパス
    • Year and Date
      2011-10-15
    • Related Report
      2012 Final Research Report
  • [Presentation] 東京証券取引所における株価実現ボラティリティの分析2011

    • Author(s)
      高石哲弥
    • Organizer
      日本金融・証券計量・工学学会
    • Place of Presentation
      慶応義塾大学三田キャンパス(東京)
    • Year and Date
      2011-10-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] 日本市場の日中実現ボラティリティ分布の解析2010

    • Author(s)
      高石哲弥
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大学中百舌鳥
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] 分数誤差分布をもつGARCHモデルによる金融時系列解析

    • Author(s)
      高石哲弥
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 分数関数プロセスをもつGARCHモデルによる株価時系列解析

    • Author(s)
      高石哲弥
    • Organizer
      JAFEE 2012 冬季大会
    • Place of Presentation
      筑波大学東京キャンパス文京校舎
    • Related Report
      2012 Annual Research Report
  • [Book] 金融時系列分析の理論と応用2012

    • Author(s)
      前川功一、得津康義
    • Publisher
      広島経済大学地域経済研究所
    • Related Report
      2011 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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