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Asset pricing and investment theories based on high frequency and option data

Research Project

Project/Area Number 17K03654
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, 大学院経営管理研究科, 教授 (90323899)

Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords確率ボラティリティモデル / 分散リスクプレミアム / リターン予測可能性 / 自己・相互励起ジャンプ過程 / バリアンス・スワップ / ハミルトニアン・モンテ・カルロ法 / 非アファインモデル / 自己・相互励起過程 / 高頻度データ分析 / モデルフリーインプライドボラティリティ / 動的資産価格理論 / 動的投資戦略
Outline of Final Research Achievements

Asset pricing theories on variance risk premium document that the Variance Risk Premium(VRP) defined by the difference between realized variance calculated from high-frequency data and volatility index(VI, VIX for S&P) calculated from option data has predictability of underlying asset returns. Our research provides theoretical explanation of such predictability. We conduct Bayesian statistical inference of various stochastic volatility(SV) models such as SV model with self-exciting jumps. Moreover, we investigate the positive relationship between hierarchical structure of VIX(model-free implied volatility of S&P500 options) and VVIX(model-free implied volatility of VIX-options), using non-affine SV model.

Academic Significance and Societal Importance of the Research Achievements

VRPを用いた原資産の将来リターンの予測において、SVモデルのリターンとボラティリティの相関であるレバレッジ・パラメータの役割が重要であることを理論的に示し、先進国の株式指数、VIXを使った実証分析で実証した。VIXの他に、ボラティリティの期間構造情報をもつVIX先物、VIXオプション、VVIXなどを観測量に加えたベイズ推定を研究した。通常、常微分方程式(ODE)の解で表される特性関数を用いるが、ジャンプ拡散モデルのような場合には、ODEの解析解が得られない。そのような場合でも、ODEの数値解法を組み合わせた新たなベイズ推定法を開発し、実際のデータで推定可能であることを示した。

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (20 results)

All 2020 2019 2018 2017

All Journal Article (8 results) (of which Peer Reviewed: 2 results,  Open Access: 1 results) Presentation (12 results) (of which Int'l Joint Research: 1 results)

  • [Journal Article] 確率的依存構造をもつコピュラモデル ー 統計的推定方法と計量ファイナンスへの応用 ー2020

    • Author(s)
      野澤 勇樹, 中村 信弘
    • Journal Title

      統計数理

      Volume: 60 Pages: 1-20

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] ODE-Based Bayesian Inference ofVIX Dynamics Adapted to VIX Futures,VVIXs, and VIX Options2019

    • Author(s)
      Nobuhiro Nakamura
    • Journal Title

      Proceedings of the 51-th JAFEE meeting

      Volume: 夏季

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Variance Risk Premium: Theoretical and Empirical Evidence of Return Predictability2019

    • Author(s)
      Yusuke Tomishima and Nobuhiro Nakamura
    • Journal Title

      Proceedings of the 52-th JAFEE meeting

      Volume: 冬季 Pages: 127-138

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Return Predictability and Variance Risk Premia in Stochastic Volatility Model with Self-Exciting Jumps2019

    • Author(s)
      Nobuhiro Nakamura
    • Journal Title

      Proceedings of the 52-th JAFEE meeting

      Volume: 冬季 Pages: 139-150

    • Related Report
      2019 Annual Research Report
  • [Journal Article] ダイナミック非対称tコピュラを用いた新興国国債市場の相互依存構造に関する研究2019

    • Author(s)
      夷藤翔, 中村信弘
    • Journal Title

      JAFEE Journal

      Volume: 17 Issue: 0 Pages: 45-66

    • DOI

      10.32212/jafee.17.0_45

    • NAID

      130007634171

    • ISSN
      2434-4702
    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Asset Return Predictability and Dynamics of Variance Risk Premia2017

    • Author(s)
      Nobuhiro Nakamura
    • Journal Title

      Proceedings of the 47-th JAFEE meeting

      Volume: 2017:Summer Pages: 138-149

    • Related Report
      2017 Research-status Report
  • [Journal Article] Term Structure Model of Volatilities and Variance-of-Variance Risk Premium2017

    • Author(s)
      Yusuke Sekiguchi and Nobuhiro Nakamura
    • Journal Title

      Proceedings of the 48-th JAFEE meeting

      Volume: 2017:Winter Pages: 36-47

    • Related Report
      2017 Research-status Report
  • [Journal Article] Asset Return Predictability and Dynamics of Return and Variance Risk Premia2017

    • Author(s)
      Nobuhiro Nakamura
    • Journal Title

      Proceedings of the 48-th JAFEE meeting

      Volume: 2017:Winter Pages: 24-35

    • Related Report
      2017 Research-status Report
  • [Presentation] Return Predictability and Variance Risk Premia in Stochastic Volatility Model with Self-Exciting Jumps2020

    • Author(s)
      Nobuhiro Nakamura
    • Organizer
      日本金融・証券計量・工学学会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Variance Risk Premium: Theoretical and Empirical Evidence of Return Predictability2020

    • Author(s)
      Yusuke Tomishima and Nobuhiro Nakamura
    • Organizer
      日本金融・証券計量・工学学会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Variance Risk Premium and Predictability of Returns: Quadratic Variance, Self-Exciting Jump Models2020

    • Author(s)
      Nobuhiro Nakamura and Kazuhiko Ohashi
    • Organizer
      日本ファイナンス学会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Non-Affine and Non-Reduced Form Approach to Pricing of VIX and VVIX:Quadratic Diffusion Model2019

    • Author(s)
      Nobuhiro Nakamura and Kazuhiko Ohashi
    • Organizer
      日本ファイナンス学会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Non-Affine and Non-Reduced Form Approach To Pricing of VIX and VVIX: Quadratic Diffusion Model2019

    • Author(s)
      Nobuhiro Nakamura and Kazuhiko Ohashi
    • Organizer
      Asian Finance Association Annual Meeting
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ODE-Based Bayesian Inference ofVIX Dynamics Adapted to VIX Futures,VVIXs, and VIX Options2019

    • Author(s)
      Nobuhiro Nakamura
    • Organizer
      日本金融・証券計量・工学学会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Asset Return Predictability and Dynamics of Return and Variance Risk Premia2018

    • Author(s)
      中村信弘
    • Organizer
      日本ファイナンス学会
    • Related Report
      2018 Research-status Report
  • [Presentation] Non-Affine and Non-Reduced Form Approach to Pricing of VIX and VVIX:Quadratic Diffusion Model2018

    • Author(s)
      中村信弘
    • Organizer
      日本金融・証券計量・工学学会
    • Related Report
      2018 Research-status Report
  • [Presentation] Asset Return Predictability and Dynamics of Return and Variance Risk Premia2017

    • Author(s)
      中村信弘
    • Organizer
      日本金融・証券計量・工学学会
    • Related Report
      2017 Research-status Report
  • [Presentation] Term Structure Model of Volatilities and Variance-of-Variance Risk Premium2017

    • Author(s)
      関口雄介, 中村信弘
    • Organizer
      日本金融・証券計量・工学学会
    • Related Report
      2017 Research-status Report
  • [Presentation] Asset Return Predictability and Dynamics of Variance Risk Premia2017

    • Author(s)
      中村信弘
    • Organizer
      日本金融・証券計量・工学学会
    • Related Report
      2017 Research-status Report
  • [Presentation] The Term Structure of Variance Swap Rates:Self-Exciting Jump Diffusion Modeling2017

    • Author(s)
      中村信弘
    • Organizer
      日本ファイナンス学会
    • Related Report
      2017 Research-status Report

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Published: 2017-04-28   Modified: 2021-02-19  

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