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Analysis of covariance structure of the financial markets by use of high-frequency data

Research Project

Project/Area Number 19530186
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Economic statistics
Research InstitutionKeio University

Principal Investigator

HAYASHI Takaki  Keio University, 大学院・経営管理研究科, 教授 (80420826)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords高頻度データ / 金融工学 / リスク管理 / 離散観測 / 非同期性 / 実現ボラティリティ / 拡散過程 / 共分散 / 漸近分布論 / 中心極限定理 / マルチンゲール / 停止時刻
Research Abstract

This project aims to investigate methodologies for estimating variance-covariance structure of the financial markets using high-frequency data, which has been getting more accessible and been utilized lately. The principal investigator (PI) has advances the statistical theory for the so-called Hayashi-Yoshida estimator, which PI proposed with Professor Nakahiro Yoshida of the University of Tokyo, and explored its applicability to the practical financial risk management. In the meantime, for exploring potential methodologies as well as applications of high-frequency data modeling and analysis, the PI has done reviews of the existing studies in related fields and he has investigated alternative approaches to quantify financial risks with high-frequency data.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report

Research Products

(43 results)

All 2010 2009 2008 2007 Other

All Journal Article Presentation Book Remarks

  • [Journal Article] Fluctuation scaling and covariance matrix of constituents' flows on a bipartite graph2010

    • Author(s)
      Sato, A., Hayashi, T.
    • Journal Title

      European Physical Journal B (採択決定)

    • NAID

      120002576694

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 高頻度データと時間変更2009

    • Author(s)
      林高樹
    • Journal Title

      統計数理 57巻第1号

      Pages: 39-65

    • NAID

      120006018990

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] High frequency statistics with irregularly spaced observations2009

    • Author(s)
      Hayashi, T., Jacod, J., Yoshida, N.
    • Journal Title

      『数理解析研究所講究録』「確率数値解析に於ける諸問題VIII」 No.1620

      Pages: 1-10

    • Related Report
      2009 Final Research Report
  • [Journal Article] 高頻度データと時間変更2009

    • Author(s)
      林高樹
    • Journal Title

      統計数理 57

      Pages: 39-65

    • NAID

      120006018990

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] High frequency statistics with irregularly spaced observations2009

    • Author(s)
      林高樹・Jean Jacod・吉田朋広
    • Journal Title

      数理解析研究所講究録(「確率数値解析における諸問題(8)」RIMS共同研究報告集) 1620

      Pages: 1-10

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Nonsynchronous Covariance estimator and Limit Theorem II2008

    • Author(s)
      Hayashi, T., Yoshida, N.
    • Journal Title

      統計数理研究所Research Memorandum no.1067

    • Related Report
      2009 Final Research Report
  • [Journal Article] 高頻度データの取引時間モデル2008

    • Author(s)
      林高樹
    • Journal Title

      慶應経営論集 25巻

      Pages: 23-37

    • NAID

      40015983183

    • Related Report
      2009 Final Research Report
  • [Journal Article] Asymptotic Normality of a Covariance Estimator for Nonsynchronously Observed Diffusion Processes2008

    • Author(s)
      T. Hayashi, N. Yoshida
    • Journal Title

      Annals of the Institute of Statistical Mathematics 60-2

      Pages: 357-396

    • NAID

      40016082029

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Consistent estimation of covaridtion under nonsynchronicity2008

    • Author(s)
      T. Hayashi, S. Kusuoka
    • Journal Title

      Statistical Inference for Stochastic Processes 11-1

      Pages: 93-106

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] 外国為替市場におけるゆらぎのスケーリング:実測と理論2010

    • Author(s)
      佐藤彰洋(報告者), 林高樹
    • Organizer
      統計数理研究所「経済物理学とその周辺研究会」
    • Place of Presentation
      統計数理研究所
    • Year and Date
      2010-03-06
    • Related Report
      2009 Final Research Report
  • [Presentation] Comprehensive measurement of agent behavior in financial markets2009

    • Author(s)
      Sato, A. (報告者), Hayashi, T.
    • Organizer
      Complex'09
    • Place of Presentation
      中央大学
    • Year and Date
      2009-11-06
    • Related Report
      2009 Final Research Report
  • [Presentation] Nonsynchronous covariation and high-frequency data2009

    • Author(s)
      Hayashi, T. (報告者), Yoshida, N.
    • Organizer
      3rd CSDA International Conference on Computational and Financial Econometrics(CEF09)
    • Place of Presentation
      Limassol, Cyprus
    • Year and Date
      2009-10-31
    • Related Report
      2009 Final Research Report
  • [Presentation] Nonsynchronous covariation and high-frequency data2009

    • Author(s)
      林高樹(発表者)・吉田朋広
    • Organizer
      3^<rd> CSDA International Conference on Computational and Financial Econometrics(CEF09)
    • Place of Presentation
      Limassol, Cyprus
    • Year and Date
      2009-10-31
    • Related Report
      2009 Annual Research Report
  • [Presentation] ゆらぎのスケーリング則に関する確率モデル京都大学基礎物理学研究所「経済物理学2009」・統計数理研究所「経済物理学とその周辺研究会」2009

    • Author(s)
      佐藤彰洋(報告者), 林高樹
    • Organizer
      京都大学基礎物理学研究所
    • Year and Date
      2009-09-08
    • Related Report
      2009 Final Research Report
  • [Presentation] ゆらぎのスケーリングに関する確率モデル2009

    • Author(s)
      佐藤彰洋(発表者)・林高樹
    • Organizer
      京都大学基礎物理学研究所「経済物理学2009」・統計数理研究所「経済物理学とその周辺研究会」
    • Place of Presentation
      京都大学
    • Year and Date
      2009-09-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Limit theorems for realized volatility type quantities based on nonsynchronous2009

    • Author(s)
      林高樹(報告者), 吉田朋広
    • Organizer
      irregularly spaced samples, 日本経済学会春季大会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-06-07
    • Related Report
      2009 Final Research Report
  • [Presentation] Limit Theorems for Realized Volatility Type Quantities Based on Nonsynchronous, Irregularly Spaced Samples2009

    • Author(s)
      林高樹(発表者)・吉田朋広
    • Organizer
      日本経済学会春季大会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-06-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Nonsynchronous covariation and limit theorem2009

    • Author(s)
      吉田朋広(報告者), 林高樹
    • Organizer
      日本数学会2008年度年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-28
    • Related Report
      2009 Final Research Report
  • [Presentation] Nonsynchronous covariation and limit theorem2009

    • Author(s)
      吉田朋広(共著者)
    • Organizer
      日本数学会2009年度年会
    • Place of Presentation
      東京大学駒場キャンパス
    • Year and Date
      2009-03-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] Statistical analysis of covariance and cross-spectral matrices for multiple high-frequency financial data2009

    • Author(s)
      佐藤彰洋(報告者), 林高樹
    • Organizer
      APFA7(第7回国際会議『物理学の金融データ解析への応用』
    • Place of Presentation
      東京工業大学
    • Year and Date
      2009-03-02
    • Related Report
      2009 Final Research Report
  • [Presentation] Statistical analysis of covariance and cross-spectral matrices for multiple high-frequency finaneial data2009

    • Author(s)
      佐藤彰洋(共著者)
    • Organizer
      APFA7(第7回国際会議『物理学の金融データ解析への応用』)
    • Place of Presentation
      東京工業大学大岡山キャンパス
    • Year and Date
      2009-03-02
    • Related Report
      2008 Annual Research Report
  • [Presentation] 高頻度データの統計学: Realized Volatilityとその周辺2008

    • Author(s)
      林高樹(報告者)
    • Organizer
      統計サマーセミナー2008
    • Place of Presentation
      河口湖
    • Year and Date
      2008-08-05
    • Related Report
      2009 Final Research Report
  • [Presentation] 高頻度データの統計学 : realized volatilityとその周辺2008

    • Author(s)
      林 高樹
    • Organizer
      統計サマーセミナー2008
    • Place of Presentation
      山梨県南都留郡富士河口湖町(河口湖)
    • Year and Date
      2008-08-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] High frequency statistics with irregularly spaced observations2008

    • Author(s)
      Hayashi, T., Jacod, J. (報告者), Yoshida, N.
    • Organizer
      第8回「確率数値解析に於ける諸問題」ワークショップ
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-07-07
    • Related Report
      2009 Final Research Report
  • [Presentation] 高頻度データ分析とその周辺2008

    • Author(s)
      林高樹
    • Organizer
      日本or学会「ファイナンスと意思決定」研究会
    • Place of Presentation
      首都大学東京(秋葉原キャンパス)
    • Year and Date
      2008-06-18
    • Related Report
      2009 Final Research Report
  • [Presentation] 高頻度データ分析とその周辺2008

    • Author(s)
      林 高樹
    • Organizer
      日本OR学会「ファイナンスと意思決定」研究会
    • Place of Presentation
      首都大学東京・秋葉原ダイビル
    • Year and Date
      2008-06-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] 高頻度金融データの統計科学:最近の発展と展望2008

    • Author(s)
      林高樹
    • Organizer
      日本統計学会春期大会
    • Place of Presentation
      成城大学
    • Year and Date
      2008-03-01
    • Related Report
      2009 Final Research Report
  • [Presentation] 高頻度データと統計科学2008

    • Author(s)
      林 高樹
    • Organizer
      統計学会春季大会(計量ファイナンス-金融リスクの統計科学)
    • Place of Presentation
      成城大学
    • Year and Date
      2008-03-01
    • Related Report
      2007 Annual Research Report
  • [Presentation] Nonsynchronous covariance estimator and limit theorem2007

    • Author(s)
      Hayashi, T. (報告者), Yoshida, N
    • Organizer
      研究集会「確率解析と統計的推測」
    • Place of Presentation
      東京大学
    • Year and Date
      2007-11-30
    • Related Report
      2009 Final Research Report
  • [Presentation] Nonsynchronous covariance estimator and limit theorem2007

    • Author(s)
      林 高樹
    • Organizer
      『確率適程と統計的推測』研究集会
    • Place of Presentation
      東京大学
    • Year and Date
      2007-11-30
    • Related Report
      2007 Annual Research Report
  • [Presentation] 非同期観測下における拡散過程間の共分散推定問題2007

    • Author(s)
      林高樹(報告者), 吉田朋広
    • Organizer
      2007年度統計関連学会連合大会
    • Place of Presentation
      神戸大学
    • Year and Date
      2007-09-08
    • Related Report
      2009 Final Research Report
  • [Presentation] 非同期観測下における拡散過程間の共分散推定問題2007

    • Author(s)
      林 高樹
    • Organizer
      統計学会連合大会『高頻度データを用いた計量ファイナンス分析』企画セッション
    • Place of Presentation
      神戸大学
    • Year and Date
      2007-09-08
    • Related Report
      2007 Annual Research Report
  • [Presentation] Nonsynchronous Covariation with Application to High-Frequency Finance2007

    • Author(s)
      Hayashi, T. (報告者), Yoshida, N
    • Organizer
      32nd Conference on Stochastic Processes and their Applications (SPA07)
    • Place of Presentation
      イリノイ大学アバナシャンパン校
    • Year and Date
      2007-08-07
    • Related Report
      2009 Final Research Report
  • [Presentation] Nonsynchronous covariance estimator and limit theorem2007

    • Author(s)
      林 高樹
    • Organizer
      『確率過程とその応用2007』国際会議(Stochastic Processes and their Applications 2007)
    • Place of Presentation
      Univehsty of Illinois at Urbana-Champaign
    • Year and Date
      2007-08-07
    • Related Report
      2007 Annual Research Report
  • [Presentation] Nonsynchronous covariation with application to high-fregeuncy finance2007

    • Author(s)
      林 高樹
    • Organizer
      経済統計ワークショップ
    • Place of Presentation
      一橋大学
    • Year and Date
      2007-07-12
    • Related Report
      2007 Annual Research Report
  • [Book] 離散非同期観測データ間の共分散推定, 『数理科学』2010

    • Author(s)
      林高樹
    • Publisher
      サイエンス社
    • Related Report
      2009 Final Research Report
  • [Book] 高頻度データ解析, 『オペレーションズ・リサーチ』2010

    • Author(s)
      林高樹
    • Publisher
      日科技連出版社
    • Related Report
      2009 Final Research Report
  • [Book] 高頻度金融データと統計科学, 『21世紀の統計科学I:社会・経済の統計科学』2008

    • Author(s)
      林高樹, 吉田朋広, 国友直人・山本拓(編編)
    • Publisher
      東京大学出版会
    • Related Report
      2009 Final Research Report
  • [Book] 『21世紀の統計科学I : 社会・経済の統計科学』(国友直人・山本拓編)内 第10章「高頻度金融データと統計科学」2008

    • Author(s)
      林高樹, 吉田朋広(分担執筆)
    • Publisher
      東京大学出版会
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ等

    • URL

      http://www.kbs.keio.ac.jp/hayashilab/THresearch.htm

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www.kbs.keio.ac.jp/hayashilab/THresearch.htm

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.kbs.keio.ac.jp/hayashilab/THresearch.htm

    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://www.kbs.keio.ac.jp/hayashilab/THresearch.htm

    • Related Report
      2007 Annual Research Report

URL: 

Published: 2007-03-31   Modified: 2016-04-21  

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