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Risk Management and Optimal Asset Allocation by Stochastic Copula Model

Research Project

Project/Area Number 26380268
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Economic statistics
Research InstitutionHitotsubashi University

Principal Investigator

Nakamura Nobuhiro  一橋大学, 大学院国際企業戦略研究科, 教授 (90323899)

Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords確率的コピュラ / 確率的ボラティリティ / 共和分 / 誤差修正モデル / 自己励起過程 / モデルフリーインプライドボラティリティ / 実現尺度 / バリアンス・スワップ / ジャンプ拡散過程 / 確率ボラティリティ / 共和分投資 / 確率的ヴァインコピュラ / Hamiltonian Monte-Carlo / 確率的裾依存コピュラ / GH-skewed t分布 / 高頻度データ解析 / 動的誤差修正モデル / 確率的共分散モデル / リスク・パリティ / リスク・バジェット / 下方リスク / HEAVY CAPM / GRASモデル / ヴァイン・コピュラ
Outline of Final Research Achievements

We study the risk management and optimal asset allocation problems
as applications of the stochastic copula model, in which tail-dependence parameters change stochastically. Employing the Hamiltonian Monte Carlo (HMC) method for their statistical estimations we demonstrate the effectiveness of the HMC method. In the optimal asset allocation problems, we deal with tail risk parity (TRP) investment in which the downside risk is distributed equally among assets, and dynamic investment when there are multiple cointegrating relationships between asset classes. Furthermore, we study the stochastic copula model using realized measures calculated from high-frequency data analysis, and the stochastic volatility model with a jump with self-exciting intensity for modelling VIX.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (25 results)

All 2017 2016 2015 2014

All Journal Article (9 results) Presentation (15 results) Book (1 results)

  • [Journal Article] Stochastic Volatility Models with Stochastic Skewness and Kurtosis2016

    • Author(s)
      Yuki Nozawa and Nobuhiro Nakamura
    • Journal Title

      Proceedings of the 45-th JAFEE meeting

      Volume: Summer Pages: 29-38

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Dynamic Trading of Cointegrated Assets: Partial Information, Model Uncertainty Cases2016

    • Author(s)
      Nobuhiro Nakamura
    • Journal Title

      Proceedings of the 45-th JAFEE meeting

      Volume: Summer Pages: 13-24

    • Related Report
      2016 Annual Research Report
  • [Journal Article] The Term Structure of Variance Swap Rates:Self-Exciting Jump Diffusion Modeling2016

    • Author(s)
      Nobuhiro Nakamura
    • Journal Title

      Proceedings of the 46-th JAFEE meeting

      Volume: Winter Pages: 165-176

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Dynamic Error Correction Model for Co-Integrated Stocks using High-Frequency Data2015

    • Author(s)
      Napoleon,N. and N. Nakamura
    • Journal Title

      Proceedings of the 43-th JAFEE meeting

      Volume: Summer Pages: 192-203

    • Related Report
      2015 Research-status Report
  • [Journal Article] Dynamic Hedging Strategy Using Stochastic Vine Copulas2015

    • Author(s)
      Nozawa,Y. and N.Nakamura
    • Journal Title

      Proceedings of the 43-th JAFEE meeting

      Volume: Summer Pages: 168-179

    • Related Report
      2015 Research-status Report
  • [Journal Article] Dynamic Trading with Multiple Cointegrating Relationships2015

    • Author(s)
      N. Nakamura
    • Journal Title

      Proceedings of the 44-th JAFEE meeting

      Volume: Winter Pages: 109-120

    • Related Report
      2015 Research-status Report
  • [Journal Article] Estimation of Stochastic Dependence Structures between Equity Markets and Volatility Indices using Stochastic Copulas2015

    • Author(s)
      Nozawa,Y. and N.Nakamura
    • Journal Title

      Proceedings of the 44-th JAFEE meeting

      Volume: Winter Pages: 228-238

    • Related Report
      2015 Research-status Report
  • [Journal Article] Factor Based Tail Risk Parity/Budgeting Investment2014

    • Author(s)
      Nobuhiro Nakamura
    • Journal Title

      Proceedings of the 41-th JAFEE meeting

      Volume: 2014:夏季 Pages: 182-193

    • Related Report
      2014 Research-status Report
  • [Journal Article] HEAVY GRAS Vine Copula Models2014

    • Author(s)
      Nobuhiro Nakamura
    • Journal Title

      Proceedings of the 42-th JAFEE meeting

      Volume: 2014:冬季 Pages: 157-168

    • Related Report
      2014 Research-status Report
  • [Presentation] The Term Structure of Variance Swap Rates:Self-Exciting Jump Diffusion Modeling2017

    • Author(s)
      Nobuhiro Nakamura
    • Organizer
      日本金融・証券計量・工学学会
    • Place of Presentation
      武蔵大学(東京都・練馬区)
    • Year and Date
      2017-02-18
    • Related Report
      2016 Annual Research Report
  • [Presentation] Stochastic Volatility Models with Stochastic Skewness and Kurtosis2016

    • Author(s)
      Yuki Nozawa
    • Organizer
      日本金融・証券計量・工学学会
    • Place of Presentation
      成城大学(東京都・世田谷区)
    • Year and Date
      2016-08-08
    • Related Report
      2016 Annual Research Report
  • [Presentation] Dynamic Trading of Cointegrated Assets: Partial Information, Model Uncertainty Cases2016

    • Author(s)
      Nobuhiro Nakamura
    • Organizer
      日本金融・証券計量・工学学会
    • Place of Presentation
      成城大学(東京都・世田谷区)
    • Year and Date
      2016-08-08
    • Related Report
      2016 Annual Research Report
  • [Presentation] Dynamic Trading with Multiple Cointegrating Relationships2016

    • Author(s)
      Nobuhiro Nakamura
    • Organizer
      日本ファイナンス学会
    • Place of Presentation
      横浜国立大学(神奈川県・横浜市)
    • Year and Date
      2016-05-22
    • Related Report
      2016 Annual Research Report
  • [Presentation] Asset Allocation with Multivariate Factor Stochastic Volatility Model with Realized Measure2016

    • Author(s)
      Ryuji Nakamura
    • Organizer
      日本ファイナンス学会
    • Place of Presentation
      横浜国立大学(神奈川県・横浜市)
    • Year and Date
      2016-05-22
    • Related Report
      2016 Annual Research Report
  • [Presentation] Dynamic Trading with Multiple Cointegrating Relationships2016

    • Author(s)
      中村信弘
    • Organizer
      日本ファイナンス学会
    • Place of Presentation
      横浜国立大学(神奈川県・横浜市)
    • Year and Date
      2016-05-22
    • Related Report
      2015 Research-status Report
  • [Presentation] Asset Allocation with Multivariate Factor Stochastic Volatility Model with Realized Measure2016

    • Author(s)
      中村竜二
    • Organizer
      日本ファイナンス学会
    • Place of Presentation
      横浜国立大学(神奈川県・横浜市)
    • Year and Date
      2016-05-22
    • Related Report
      2015 Research-status Report
  • [Presentation] Estimation of Stochastic Dependence Structures between Equity Markets and Volatility Indices using Stochastic Copulas2016

    • Author(s)
      野澤勇樹
    • Organizer
      日本金融・証券計量・工学学会
    • Place of Presentation
      慶應大学(東京都・港区)
    • Year and Date
      2016-01-25
    • Related Report
      2015 Research-status Report
  • [Presentation] Dynamic Trading with Multiple Cointegrating Relationships2016

    • Author(s)
      中村信弘
    • Organizer
      日本金融・証券計量・工学学会
    • Place of Presentation
      慶應大学(東京都・港区)
    • Year and Date
      2016-01-24
    • Related Report
      2015 Research-status Report
  • [Presentation] Dynamic Error Correction Model for Co-Integrated Stocks using High-Frequency Data2015

    • Author(s)
      Napoleon,N.
    • Organizer
      日本金融・証券計量・工学学会
    • Place of Presentation
      中央大学(東京都・新宿区)
    • Year and Date
      2015-08-08
    • Related Report
      2015 Research-status Report
  • [Presentation] Dynamic Hedging Strategy Using Stochastic Vine Copulas2015

    • Author(s)
      野澤勇樹
    • Organizer
      日本金融・証券計量・工学学会
    • Place of Presentation
      中央大学(東京都・新宿区)
    • Year and Date
      2015-08-08
    • Related Report
      2015 Research-status Report
  • [Presentation] HEAVY GRAS Vine Copula Models2015

    • Author(s)
      中村信弘
    • Organizer
      日本ファイナンス学会第23回大会
    • Place of Presentation
      東京大学(本郷キャンパス)
    • Year and Date
      2015-06-07
    • Related Report
      2014 Research-status Report
  • [Presentation] HEAVY GRAS Vine Copula Models2015

    • Author(s)
      中村信弘
    • Organizer
      日本金融・証券計量・工学学会2014年度冬季大会
    • Place of Presentation
      筑波大学(東京キャンパス)
    • Year and Date
      2015-01-23
    • Related Report
      2014 Research-status Report
  • [Presentation] Factor Based Tail Risk Parity/Budgeting Investment2014

    • Author(s)
      中村信弘
    • Organizer
      日本金融・証券計量・工学学会2014年度夏季大会
    • Place of Presentation
      成城大学
    • Year and Date
      2014-08-02
    • Related Report
      2014 Research-status Report
  • [Presentation] Tail Risk Parity/Budgeting Investment: Copula Approach to Tail Dependence Structure2014

    • Author(s)
      中村信弘
    • Organizer
      日本ファイナンス学会第22回大会
    • Place of Presentation
      中央大学多摩キャンパス
    • Year and Date
      2014-05-31
    • Related Report
      2014 Research-status Report
  • [Book] MBAチャレンジ 金融・財務2017

    • Author(s)
      佐山展生、伊藤彰敏、野間幹晴、横内大介、宮川大介、中村信弘、鈴木健嗣、大橋和彦
    • Total Pages
      231
    • Publisher
      中央経済社
    • Related Report
      2016 Annual Research Report

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Published: 2014-04-04   Modified: 2018-03-22  

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