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Statistical analysis of price discovery: a stochastic process approach

Research Project

Project/Area Number 16K17105
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Economic statistics
Research InstitutionThe University of Tokyo (2017-2018)
Tokyo Metropolitan University (2016)

Principal Investigator

Koike Yuta  東京大学, 大学院数理科学研究科, 准教授 (80745290)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywordsリード・ラグ効果 / 高頻度データ / マーケット・マイクロストラクチャー / 漸近理論 / 非同期観測 / マイクロストラクチャーノイズ / 経済統計学 / リード・ラグ
Outline of Final Research Achievements

In modern financial markets, it is common that a single asset is traded on multiple markets. In such a situation, a single asset can have multiple prices, but they should be almost identical at moderate time scales, although they might be different at a very short time horizon. In this case, one naturally asks which market determines the fundamental price of the asset. This is called the problem of price discovery. In this study, we construct a statistical model for price discovery, which enables us to analyze data without assuming a specific functional form of the model, by modeling high-frequency financial data as discretely observed continuous-time stochastic processes.

Academic Significance and Societal Importance of the Research Achievements

本研究では、従来の価格発見モデルで利用されてきた離散時間モデルではなく、連続時間確率過程の離散観測モデルによって統計モデルおよび統計解析手法を構築しており、従来のモデルと比べて次のようなアドバンテージがある。
(1)パラメーターの時間変化を特定の関数形を仮定せずにモデルに組み込むことができる. 時間変化の影響を考慮することでモデルの説明力が改善され、新たな知見が得られることが期待できる。
(2)観測時刻の非同期性に対処することができる。従来モデルで広く使われる補間によるデータの同期化は重大なバイアスをもたらすことが指摘されており、この問題を解消して分析結果に生じるバイアスを排除できる。

Report

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

    (28 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (1 results) Journal Article (3 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 3 results,  Open Access: 1 results) Presentation (24 results) (of which Int'l Joint Research: 15 results,  Invited: 19 results)

  • [Int'l Joint Research] マカオ大学(中国)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Gaussian approximation of maxima of Wiener functionals and its application to high-frequency data2019

    • Author(s)
      Yuta Koike
    • Journal Title

      Annals of Statistics

      Volume: 4 Issue: 3 Pages: 1663-1687

    • DOI

      10.1214/18-aos1731

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mixed-normal limit theorems for multiple Skorohod integrals in high-dimensions, with application to realized covariance2019

    • Author(s)
      Yuta Koike
    • Journal Title

      Electronic Journal of Statistics

      Volume: 13 Issue: 1 Pages: 1443-1522

    • DOI

      10.1214/19-ejs1553

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Asymptotic properties of the realized skewness and related statistics2018

    • Author(s)
      Koike Yuta、Liu Zhi
    • Journal Title

      Annals of the Institute of Statistical Mathematics

      Volume: 印刷中 Issue: 4 Pages: 703-741

    • DOI

      10.1007/s10463-018-0659-8

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Testing the absence of lead-lag effects in high-frequency data2018

    • Author(s)
      Yuta Koike
    • Organizer
      EcoSta 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Gaussian approximation of maxima of Wiener functionals and its application to high-frequency data2018

    • Author(s)
      Yuta Koike
    • Organizer
      10th World Congress of the Bachelier Finance Society
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On the asymptotic structure of Brownian motions with a small lead-lag effect2018

    • Author(s)
      小池祐太
    • Organizer
      2018年度統計関連学会連合大会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [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)
      小池祐太
    • Organizer
      2018年度中之島ワークショップ
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Capturing heterogeneous lead-lag relationships from ultra high frequency data2017

    • Author(s)
      Yuta Koike
    • Organizer
      EcoSta 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Capturing heterogeneous lead-lag relationships from ultra high frequency data2017

    • Author(s)
      Yuta Koike
    • Organizer
      SoFiE 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Wavelet-based methods for high-frequency lead-lag analysis2017

    • Author(s)
      Yuta Koike
    • Organizer
      IAAE 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] On the asymptotic structure of Brownian motions with a small lead-lag effect2017

    • Author(s)
      Yuta Koike
    • Organizer
      Asymptotic Statistics of Stochastic Processes and Applications XI
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Web データと高頻度データ解析2017

    • Author(s)
      小池祐太
    • Organizer
      統計サマーセミナー 2017
    • Related Report
      2017 Research-status Report
  • [Presentation] Lead-lag analysis of non-synchronously observed time series with R2017

    • Author(s)
      小池祐太
    • Organizer
      2017 年度統計関連学会連合大会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Lead-lag analysis of non-synchronously observed time series with R2017

    • Author(s)
      Yuta Koike
    • Organizer
      CMStatistics 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 高頻度データにおけるリード・ラグ効果のウェーブレット解析2017

    • Author(s)
      小池祐太
    • Organizer
      応用統計ワークショップ
    • Place of Presentation
      東京大学本郷キャンパス
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Capturing heterogeneous lead-lag effects from ultra high frequency data2017

    • Author(s)
      Yuta Koike
    • Organizer
      ASC2017
    • Place of Presentation
      東京大学駒場キャンパス
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Inference for time-varying lead-lag relationships from ultra high frequency data2017

    • Author(s)
      Yuta Koike
    • Organizer
      FST seminar
    • Place of Presentation
      University of Macau
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 超高頻度データに対するリード・ラグ効果の推定について2016

    • Author(s)
      小池祐太
    • Organizer
      慶應義塾大学経済研究所計量経済学ワークショップ
    • Place of Presentation
      慶應義塾大学三田キャンパス
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Statistical analysis of price discovery: a stochastic process approach2016

    • Author(s)
      Yuta Koike
    • Organizer
      IMS-APRM2016
    • Place of Presentation
      The Chinese University of Hong Kong
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 高頻度時系列データに対するリード・ラグ効果の統計解析2016

    • Author(s)
      小池祐太
    • Organizer
      2016年度統計関連学会連合大会
    • Place of Presentation
      金沢大学角間キャンパス
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] リードラグ効果のウェーブレット解析2016

    • Author(s)
      小池祐太
    • Organizer
      大規模統計モデリングと計算統計III
    • Place of Presentation
      東京大学駒場キャンパス
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Wavelet-based methods for high-frequency lead-lag analysis2016

    • Author(s)
      Yuta Koike
    • Organizer
      Stochastic Analysis and Statistics 4
    • Place of Presentation
      東京大学駒場キャンパス
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Quadratic Variation Estimation of an Irregularly Observed Semimartingale with Jumps and Noise2016

    • Author(s)
      Yuta Koike
    • Organizer
      Wakimoto Memorial Session 2016
    • Place of Presentation
      Statistical training center
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 統計的リード・ラグ効果2016

    • Author(s)
      小池祐太
    • Organizer
      高精度情報抽出のための統計理論・方法論とその応用
    • Place of Presentation
      九州大学伊都キャンパス
    • Related Report
      2016 Research-status Report
  • [Presentation] Statistical lead-lag effects2016

    • Author(s)
      Yuta Koike
    • Organizer
      TMU Workshop on Financial Mathematics and Statistics 2016
    • Place of Presentation
      Tokyo Metropolitan University
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Time varying lead-lag effect2016

    • Author(s)
      Yuta Koike
    • Organizer
      CFE-CMStatistics 2016
    • Place of Presentation
      University of Seville
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Statistical lead-lag effects2016

    • Author(s)
      Yuta Koike
    • Organizer
      Portfolio dynamics and limit order books
    • Place of Presentation
      Ecole CentraleSupelec
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited

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Published: 2016-04-21   Modified: 2020-03-30  

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