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Innovative Applications of Advanced Stochastic Control Theory to Contemporary Issues in Finance and Financial Engineering

Research Project

Project/Area Number 17K01255
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionOsaka University

Principal Investigator

OHNISHI Masamitsu  大阪大学, 経済学研究科, 教授 (10160566)

Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords売買取引き執行問題 / 市場価格インパクト・モデル / 確率動的計画法 / 確率ゲーム理論 / 確率制御理論 / 確率制御 / 確率ゲーム / ファイナンス / 金融工学 / 流動性リスク / 価格インパクト / 執行問題
Outline of Final Research Achievements

Concerning with the issues of trade execution in financial markets, we propose a new generalized market price impact model for both discrete time and continuous time settings, and then we study optimization problems of the trade execution for a single large trader by applying stochastic dynamic programming [Markov decision process, discrete-time stochastic control theory], and trade execution games played for multiple large traders by applying stochastic game theory [Markov game theory], respectively. Their problems were formulated and analyzed, and the optimal trading execution strategy and equilibrium trading execution strategy were characterized and derived. By conducting further numerical computation experiments, we were able to obtain interesting numerical comparative statics results that had not previously been obtained.

Academic Significance and Societal Importance of the Research Achievements

金融市場における売買取引き執行問題に関して,一般化された市場価格インパクト・モデルを新たに提案したこと.さらに,複数の大きなトレーダーによってなされる取引き執行ゲームの定式化と均衡分析に成功したこと.

Report

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

    (40 results)

All 2020 2019 2018 2017

All Journal Article (10 results) (of which Open Access: 9 results,  Peer Reviewed: 1 results) Presentation (30 results) (of which Int'l Joint Research: 5 results,  Invited: 5 results)

  • [Journal Article] Optimal and Equilibrium Execution Strategies with Generalized Price Impact2020

    • Author(s)
      Ohnishi, M. and Shimoshimizu, M.
    • Journal Title

      Quantitative Finance

      Volume: 20 Pages: 1-20

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] 金融市場における価格インパクトを考慮した取引執行ゲーム2020

    • Author(s)
      大西匡光,下清水慎
    • Journal Title

      オペレーションズ・リサーチ

      Volume: 65 Pages: 271-278

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] Optimal and Equilibrium Execution Strategies with Generalized Price Impact2019

    • Author(s)
      Ohnishi, M. and Shimoshimizu, M.
    • Journal Title

      RIMS Kokyuroku

      Volume: 2111 Pages: 84-106

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] An Empirical Examination of Volatilityon Intraday Nikkei 225 Futures: A Bayesian Approach2019

    • Author(s)
      Ochiai, N. and Ohnishi, M.
    • Journal Title

      RIMS Kokyuroku

      Volume: 2106 Pages: 117-125

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] 大阪大学におけるOR教育の系譜と現在2019

    • Author(s)
      大西匡光,森田 浩,滝根哲也,乾口雅弘
    • Journal Title

      オペレーションズ・リサーチ

      Volume: 64 Pages: 40-42

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Optimal and Equilibrium Execution Strategies with Generalized Price Impact2019

    • Author(s)
      Masamitsu OHNISHI and Makoto SHIMOSHIMIZU
    • Journal Title

      SSRN

      Volume: 3323335 Pages: 1-35

    • DOI

      10.2139/ssrn.3323335

    • Related Report
      2018 Research-status Report
    • Open Access
  • [Journal Article] Geometric Characterizations of Standard Normal Distribution - Two Types of Differential Equations, Relationships with Square and Circle, and Their Similar Characterizations -2018

    • Author(s)
      Shingo NAKANISHI and Masamitsu OHNISHI
    • Journal Title

      Research Institute for Mathematical Sciences (RIMS) RIMS Kokyuroku, Kyoto University

      Volume: 2078 Pages: 58-64

    • Related Report
      2018 Research-status Report
    • Open Access
  • [Journal Article] Optimal Execution Strategies with Generalized Price Impact Models2018

    • Author(s)
      Seiya KUNO, Masamitsu OHNISHI, and Makoto SHIMOSHIMIZU
    • Journal Title

      Research Institute for Mathematical Sciences (RIMS) RIMS Kokyuroku, Kyoto University

      Volume: 2078 Pages: 77-83

    • Related Report
      2018 Research-status Report
    • Open Access
  • [Journal Article] 2017年秋季シンポジウムルポ(第77回)2018

    • Author(s)
      大西匡光
    • Journal Title

      オペレーションズ・リサーチ

      Volume: 63 Pages: 100-101

    • Related Report
      2017 Research-status Report
  • [Journal Article] 一般化Ho-Leeモデルに基づくゲーム・フォワード・スワップションの価格評価2017

    • Author(s)
      蛯名安希,落合夏海,大西匡光
    • Journal Title

      数理解析研究所講究録 RIMS Kokyuroku

      Volume: 2044 Pages: 90-100

    • Related Report
      2017 Research-status Report
    • Open Access
  • [Presentation] Optimal execution strategies with generalized price impacts in a continuous-time setting2020

    • Author(s)
      Ohnishi, M. and Shimoshimizu, M.
    • Organizer
      The Bachelier Colloquium 2020
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 一般化された価格インパクト・モデルの下でのペア・トレーディングに関する最適執行戦略2020

    • Author(s)
      大西匡光,下清水慎
    • Organizer
      日本オペレーションズ・リサーチ学会 ,2019年秋季研究発表会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 連続時間モデルに基づく業績条件付ストック・オプションの価値評価2020

    • Author(s)
      松本敏幸,大西匡光,田中寧々
    • Organizer
      日本オペレーションズ・リサーチ学会,2020年春季研究発表会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Optimal execution problem with generalized price impact in a discrete-time setting2019

    • Author(s)
      Ohnishi, M. and Shimoshimizu, M.
    • Organizer
      KAFE-JAFEE International Conference
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Optimal execution strategies with generalized price impacts in a continuous-time setting2019

    • Author(s)
      Ohnishi, M. and Shimoshimizu, M.
    • Organizer
      QMF 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Optimal execution problem with generalized price impact in a continuous-time setting2019

    • Author(s)
      Ohnishi, M. and Shimoshimizu, M.
    • Organizer
      第 51 回(2019 年度夏季)ジャフィー大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Optimal execution problem with generalized price impact in a continuous-time setting2019

    • Author(s)
      Ohnishi, M. and Shimoshimizu, M.
    • Organizer
      日本オペレーションズ・リサーチ学会 2019年秋季研究発表会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Optimal execution strategies with generalized price impact in a discrete-time setting2019

    • Author(s)
      Ohnishi, M. and Shimoshimizu, M.
    • Organizer
      京都大学数理解析研究所,研究集会「不確実・不確定性の下における数理的意思決定の理論と応用」
    • Related Report
      2019 Annual Research Report
  • [Presentation] 金融市場における一般化された市場価格インパクト・モデルのもとでの取引執行ゲーム2019

    • Author(s)
      大西匡光,下清水慎
    • Organizer
      2019 年度日本 OR 学会関西支部シンポジウム「ゲーム理論から学ぶ:人類への知見」
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 金融市場における価格インパクト・モデルを考慮した取引執行問題2019

    • Author(s)
      大西匡光,下清水慎
    • Organizer
      福井工業大学,社会システムコロキウム
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Optimal execution strategies with generalized price impacts in a continuous-time setting2019

    • Author(s)
      Ohnishi, M. and Shimoshimizu, M.
    • Organizer
      日本ファイナンス学会,第1回秋季大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 一般化された価格インパクト・モデルのもとでの最適・均衡執行戦略2019

    • Author(s)
      大西匡光,下清水慎
    • Organizer
      東北大学現代経済学研究会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Optimal and Equilibrium Execution Strategies with Generalized Price Impact2019

    • Author(s)
      Masamitsu OHNISHI and Makoto SHIMOSHIMIZU
    • Organizer
      大阪大学数理・データ科学教育研究センター「証券市場の諸問題」ワークショップ
    • Related Report
      2018 Research-status Report
  • [Presentation] 一次元標準正規分布のBernoulli型と変数係数型二階線形微分方程式および二次元標準正規分布の確率楕円に関する数理と幾何学的考察2019

    • Author(s)
      中西真悟,大西匡光
    • Organizer
      日本オペレーションズ・リサーチ学会, 2019年春季研究発表会
    • Related Report
      2018 Research-status Report
  • [Presentation] An Empirical Examination of Intraday Volatility on Nikkei 225 Futures: A Bayesian Approach2019

    • Author(s)
      Natsumi OCHIAI and Masamitsu OHNISHI
    • Organizer
      日本オペレーションズ・リサーチ学会, 2019年春季研究発表会
    • Related Report
      2018 Research-status Report
  • [Presentation] Optimal and Equilibrium Execution Strategies with Generalized Price Impact2018

    • Author(s)
      Masamitsu OHNISHI and Makoto SHIMOSHIMIZU
    • Organizer
      日本ファイナンス学会第26回大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Optimal Execution Strategies with Generalized Price Impact Models2018

    • Author(s)
      Masamitsu OHNISHI and Makoto SHIMOSHIMIZU
    • Organizer
      EURO2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Optimal and Equilibrium Execution Strategies with Generalized Price Impact2018

    • Author(s)
      Masamitsu OHNISHI and Makoto SHIMOSHIMIZU
    • Organizer
      JAFEE 2018 夏季大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 一般化された価格インパクト・モデルのもとでの均衡執行戦略 Ⅱ2018

    • Author(s)
      大西匡光,下清水慎
    • Organizer
      日本オペレーションズ・リサーチ学会, 2018年秋季研究発表会
    • Related Report
      2018 Research-status Report
  • [Presentation] Equilibrium Execution Strategies with Generalized Price Impacts2018

    • Author(s)
      Masamitsu OHNISHI and Makoto SHIMOSHIMIZU
    • Organizer
      京都大学数理解析研究所研究集会「ファイナンスの数理解析とその応用」
    • Related Report
      2018 Research-status Report
  • [Presentation] リスクとリターンが語る標準正規分布,円,正方形の幾何学的関係2018

    • Author(s)
      中西真悟,大西匡光
    • Organizer
      日本オペレーションズ・リサーチ学会,危機管理と防衛のOR研究部会第15回研究会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Optimal and Equilibrium Execution Strategies with Generalized Price Impact2018

    • Author(s)
      Masamitsu OHNISHI and Makoto SHIMOSHIMIZU
    • Organizer
      QMF2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 一般化された価格インパクト・モデルのもとでの均衡執行戦略2018

    • Author(s)
      大西匡光,下清水慎
    • Organizer
      日本オペレーションズ・リサーチ学会2018年春季研究発表会
    • Related Report
      2017 Research-status Report
  • [Presentation] 一般化された価格インパクト・モデルのもとでの均衡執行戦略2018

    • Author(s)
      大西匡光,下清水慎
    • Organizer
      ゲーム理論ワークショップ2018
    • Related Report
      2017 Research-status Report
  • [Presentation] 価格インパクトを考慮した最適執行戦略 (続)2017

    • Author(s)
      久納誠矢,大西匡光,下清水慎
    • Organizer
      日本オペレーションズ・リサーチ学会2017年秋季研究発表会
    • Related Report
      2017 Research-status Report
  • [Presentation] 市場価格インパクトを考慮した最適執行問題2017

    • Author(s)
      久納誠矢,大西匡光,下清水慎
    • Organizer
      日本オペレーションズ・リサーチ学会4部会合同研究会~確率モデルの新展開~
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Pricing of derivatives on semi-tradable assets with stochastic volatility models2017

    • Author(s)
      大西匡光,佐藤直人
    • Organizer
      京都大学数理解析研究所研究集会「ファイナンスの数理解析とその応用」
    • Related Report
      2017 Research-status Report
  • [Presentation] An empirical examination of volatility on intraday Nikkei 225 futures: A Bayesian approach2017

    • Author(s)
      落合夏海,大西匡光
    • Organizer
      京都大学数理解析研究所研究集会「ファイナンスの数理解析とその応用」
    • Related Report
      2017 Research-status Report
  • [Presentation] 標準正規分布のある幾何学的特性の考察2017

    • Author(s)
      中西真吾,大西匡光
    • Organizer
      京都大学数理解析研究所研究集会「不確実性下の意思決定理論とその応用:計画数学の展開」
    • Related Report
      2017 Research-status Report
  • [Presentation] 一般化された離散時間価格インパクト・モデルのもとでの最適執行戦略2017

    • Author(s)
      久納誠矢,大西匡光,下清水慎
    • Organizer
      京都大学数理解析研究所研究集会「不確実性下の意思決定理論とその応用:計画数学の展開」
    • Related Report
      2017 Research-status Report

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

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