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Statistical analysis on high-speed stock price formation with the use of high-frequency limit-order book data

Research Project

Project/Area Number 16K03601
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

HAYASHI Takaki  慶應義塾大学, 経営管理研究科(日吉), 教授 (80420826)

Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords高頻度データ / 高頻度トレード (HFT) / マーケット・マイクロストラクチャ / 注文板市場 / 先行遅行分析 / 推薦システム / Kyleモデル / データサイエンス / 流動性 / HFT / 統計解析 / 経済統計学
Outline of Final Research Achievements

The purpose of this study is to obtain empirical knowledge and deepen understanding of stock price formation in the stock markets with increasing speed of execution by statistical analysis of high-frequency limit order book data, and the following results are obtained. (1) An exploratory data analysis of high-frequency lead-lag relationships between stock prices in the domestic stock market is performed and empirical characteristics are demonstrated. (2) Based on wavelet theory, we develop a statistical theory and methodology for estimating the lead-lag times for each of the frequency components of securities price fluctuations. (3) A theoretical model is proposed to explain the trading behaviors of high-speed market participants. (4) A collaborative filtering-based methodology to evaluate the liquidity of individual securities in the high-frequency domain is investigated.

Academic Significance and Societal Importance of the Research Achievements

(学術) (1)高速での株価の先行遅行関係の実証分析は十分なされておらず, 特に国内は希少であり新規性がある. (2)提案手法は, 複数の先行遅行時間を同時推定できる統計的方法論として新規性・貢献性が特に高い. 理論のベースとなる確率過程モデルは, 不均質市場仮説や, 摩擦のある市場で無裁定性が成立するなどファイナンスの標準理論とも整合的である. (3)高頻度取引業者(HFT)に関する実証的知見と整合的な性質を持つ理論モデルを考案した点で意義がある. (4)推薦モデルの流動性推定問題への適用の点で新規性がある.
(社会) 市場への理解の深化を通じて市場の機能を向上させる可能性がある.

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (20 results)

All 2020 2019 2018 2017 2016

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Acknowledgement Compliant: 1 results) Presentation (17 results) (of which Int'l Joint Research: 7 results,  Invited: 5 results)

  • [Journal Article] No arbitrage and lead-lag relationships2019

    • Author(s)
      Takaki Hayashi and Yuta Koike
    • Journal Title

      Statistics and Probability Letters

      Volume: 154 Pages: 1-11

    • DOI

      10.1016/j.spl.2019.06.006

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Wavelet-based methods for high-frequency lead-lag analysis2018

    • Author(s)
      Takaki Hayashi and Yuta Koike
    • Journal Title

      SIAM Journal on Financial Mathematics

      Volume: 9 Issue: 4 Pages: 1208-1208

    • DOI

      10.1137/18m1166079

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] 高頻度注文板データの統計解析: 異市場・同一株式価格間の先行遅行関係2017

    • Author(s)
      林 高樹
    • Journal Title

      統計数理

      Volume: 65

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 協調フィルタリンクを応用した注文板市場の流動性評価2020

    • Author(s)
      林高樹, 高橋慎
    • Organizer
      第52回2019年度冬季JAFEE大会 (中央大学) (大会中止・発表成立)
    • Related Report
      2019 Annual Research Report
  • [Presentation] 協調フィルタリングを応用した注文板市場の流動性計測2019

    • Author(s)
      林高樹, 高橋慎
    • Organizer
      第7回 統計数理研究所 リスク解析戦略研究センター 金融シンポジウム (東京)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Strategic Liquidity Provision in High Frequency Trading2019

    • Author(s)
      Takaki Hayashi and Katsumasa Nishide
    • Organizer
      Quantitative Methods in Finance Conference 2019, Sydney
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Strategic Liquidity Provision in High Frequency Trading2019

    • Author(s)
      林高樹, 西出勝正
    • Organizer
      日本ファイナンス学会第1回秋季研究大会 (大阪大学)
    • Related Report
      2019 Annual Research Report
  • [Presentation] 高頻度金融市場におけるリード・ラグ関係の 多時間スケール解析2018

    • Author(s)
      林 高樹, 小池祐太
    • Organizer
      2018 年度統計関連学会連合大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 高頻度データによる証券価格間の先行遅行関係分析: 代替的アプローチ2017

    • Author(s)
      林 高樹
    • Organizer
      ワークショップ「証券市場の諸問題」
    • Place of Presentation
      大阪大学数理・データ科学教育研究センター (大阪府大阪市)
    • Year and Date
      2017-03-07
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 高頻度データを用いた金融証券価格間の先行遅行時間推定方法の比較2017

    • Author(s)
      林 高樹
    • Organizer
      日本金融・証券計量・工学学会(JAFEE)2016冬季大会
    • Place of Presentation
      武蔵大学 (東京都練馬区)
    • Year and Date
      2017-02-17
    • Related Report
      2016 Research-status Report
  • [Presentation] Wavelet-based methods for high-frequency lead-lag analysis2017

    • Author(s)
      Takaki Hayashi and Yuta Koike
    • Organizer
      Asymptotic Statistics and Computations 2017
    • Place of Presentation
      University of Tokyo (東京都目黒区)
    • Year and Date
      2017-01-31
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Wavelet-based methods for high-frequency lead-lag analysis2017

    • Author(s)
      林 高樹、小池祐太
    • Organizer
      日本ファイナンス学会第25回大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Wavelet-based methods for high-frequency lead-lag analysis2017

    • Author(s)
      Takaki Hayashi, Yuta Koike
    • Organizer
      10th Annual SoFiE Conference
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Multi-scale analysis of lead-lag relationships in high-frequency financial markets2017

    • Author(s)
      Takaki Hayashi, Yuta Koike
    • Organizer
      釧路・経済統計キャンプ2017 (新しい時系列計量分析の理論と応用)
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] ウェーブレット法による高頻度金融時系列間の先行遅行関係分析2017

    • Author(s)
      林 高樹, 小池祐太
    • Organizer
      2017年度統計関連学会連合大会
    • Related Report
      2017 Research-status Report
  • [Presentation] No arbitrage and lead-lag relationships2017

    • Author(s)
      Takaki Hayashi, Yuta Koike
    • Organizer
      JAFEE2018冬季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] A Multiresolution Approach to High-Frequency Lead-Lag Analysis2016

    • Author(s)
      Takaki Hayashi and Yuta Koike
    • Organizer
      Market Microstructure Confronting Many Viewpoints 2016
    • Place of Presentation
      L'Institut de Louis Bachelier, Paris, France
    • Year and Date
      2016-12-07
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Wavelet-based methods for high-frequency lead-lag analysis2016

    • Author(s)
      Takaki Hayashi and Yuta Koike
    • Organizer
      TMU Workshop on Financial Mathematics and Statistics 2016
    • Place of Presentation
      Tokyo Metropolitan University (東京都千代田区)
    • Year and Date
      2016-11-29
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] On lead-lag analysis with high-frequency data2016

    • Author(s)
      Takaki Hayashi
    • Organizer
      Keio Symposium on Risk Assessment
    • Place of Presentation
      Keio University (神奈川県横浜市)
    • Year and Date
      2016-09-21
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] From covariance estimation to lead-lag analysis with high-frequency data: methods and issues2016

    • Author(s)
      Takaki Hayashi
    • Organizer
      9th Bachelier World Congress
    • Place of Presentation
      New York, U.S.A.
    • Year and Date
      2016-07-19
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited

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Published: 2016-04-21   Modified: 2021-02-19  

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