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Study on illiquid assets with stochastic trade times

Research Project

Project/Area Number 19740051
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKyushu University

Principal Investigator

MATSUMOTO Koichi  Kyushu University, 大学院・経済学研究院, 准教授 (30380687)

Project Period (FY) 2007 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,760,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥660,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥900,000 (Direct Cost: ¥900,000)
Keywords数理ファイナンス / 金融工学 / 流動性 / 投資問題 / デリバティブ / リスク管理
Research Abstract

It is new and important to study illiquid assets from a mathematical viewpoint. In this study, I have considered three basic financial problems using mathematical models such as a stochastic trade times model. I have solved an optimal portfolio problem, a hedging problem and a risk management problem. Further I have studied an associated computational problem. The results have characterized the influence of the liquidity on investors.

Report

(6 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report   Self-evaluation Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (51 results)

All 2011 2010 2009 2008 2007 Other

All Journal Article (17 results) (of which Peer Reviewed: 10 results) Presentation (34 results)

  • [Journal Article] Tail VaR Measures in a Multi-period Setting2010

    • Author(s)
      Koichi Matsumoto, Yuta Katsuki
    • Journal Title

      Discussion Paper Series, Graduate School of Economics, Kyushu University 2010-3

      Pages: 1-22

    • NAID

      40017031335

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Dynamic Programming and Mean-Variance Hedging with Partial Execution Risk2009

    • Author(s)
      Koichi Matsumoto
    • Journal Title

      Review of Derivatives Research 12

      Pages: 29-53

    • NAID

      40015906703

    • Related Report
      2010 Final Research Report 2009 Annual Research Report 2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Mean-Variance Hedging with Uncertain Trade Execution2009

    • Author(s)
      Koichi Matsumoto
    • Journal Title

      Applied Mathematical Finance 16, 3

      Pages: 219-252

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Growth Rate in Random Trade Time2009

    • Author(s)
      Koichi Matsumoto
    • Journal Title

      Advances in Mathematical Economics 12

      Pages: 129-152

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Mean-Variance Hedging with Uncertain Trade Execution2009

    • Author(s)
      Koichi Matsumoto
    • Journal Title

      Applied Mathematical Finance 16,3

      Pages: 219-252

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Option Replication in Discrete Time with Illiquidity2009

    • Author(s)
      Koichi Matsumoto
    • Journal Title

      Discussion Paper Series, Graduate School of Economics, Kyushu University 2009-6

      Pages: 1-23

    • NAID

      40016726158

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Simple Improvement Method for Upper Bound of American Option2009

    • Author(s)
      Koichi Matsumoto, Mika Fujii, Kengo Tsubota
    • Journal Title

      Discussion Paper Series, Graduate School of Economics, Kyushu University 2009-8

      Pages: 1-14

    • NAID

      40016782881

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Optimal Growth Rate in Random Trade Time2009

    • Author(s)
      Koichi Matsumoto
    • Journal Title

      Advances in Mathematical Economics (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] アメリカンオプション価格の上方境界の改善2009

    • Author(s)
      松本浩一, 坪田健吾
    • Journal Title

      Discussion Paper Series, Graduate School of Econ omics, Kyushu University 2009-3

      Pages: 1-16

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Portfolio Insurance with Liquidity Risk2008

    • Author(s)
      Koichi Matsumoto
    • Journal Title

      Asia-Pacific Financial Markets 14

      Pages: 363-386

    • NAID

      40007307602

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Strategy with Uncertain Trade Execution2008

    • Author(s)
      Koichi, Matsumoto
    • Journal Title

      京都大学数理解析研究所講究録 1580

      Pages: 136-149

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Dynamic Programming and Mean-Variance Hedging with Partial Execution Risk2008

    • Author(s)
      Koichi, Matsumoto
    • Journal Title

      Discussion Paper Series, Graduate Scholl of Economics, Kyushu University 2008-3

      Pages: 1-23

    • NAID

      40015906703

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Portfolio Insurance with Liquidity Risk2007

    • Author(s)
      Koichi Matsumoto
    • Journal Title

      Asia-Pacific Financial Markets 14, 4

      Pages: 363-386

    • NAID

      40007307602

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Portfolio Insurance with Liquidity Risk2007

    • Author(s)
      Koichi Matsumoto
    • Journal Title

      Asia-Pacific Financial Markets 14,4

      Pages: 363-386

    • NAID

      40007307602

    • Related Report
      2009 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Mean-Variance Hedging in Random Discrete Discrete Trade Time2007

    • Author(s)
      Koichi, Matsumoto
    • Journal Title

      Discussion Paper Series, Graduate Scholl of Economics, Kyushu University 2007-2

      Pages: 1-27

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Simple Improvement Method for Upper Bound of American Option

    • Author(s)
      Koichi Matsumoto, M.Fujii, K.Tsubota
    • Journal Title

      Stochastics : An International Journal of Probability and Stochastic Processes 印刷中

    • NAID

      40016782881

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Simple Improvement Method for Upper Bound of American Option

    • Author(s)
      Koichi Matsumoto, Mika Fujii, Kengo Tsubota
    • Journal Title

      Stochastics : An International Journal of Probability and Stochastic Processes

      Volume: (印刷中)

    • NAID

      40016782881

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Multi-period Coherent Acceptability Measures in Discrete Time2011

    • Author(s)
      Koichi Matsumoto
    • Organizer
      研究集会「数理ファイナンスとその周辺」, 東京大学大学院経済学研究科学術交流棟
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2011-01-28
    • Related Report
      2010 Final Research Report
  • [Presentation] Multi-period Coherent Acceptability Measures in Discrete Time2011

    • Author(s)
      Koichi Matsumoto
    • Organizer
      研究集会「数理ファイナンスとその周辺」
    • Place of Presentation
      東京大学
    • Year and Date
      2011-01-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] Tail VaR Measures in a Multi-period Setting2010

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Quantitative Methods in Finance Conference 2010
    • Place of Presentation
      Hilton Sydney Hotel, Sydney, Australia
    • Year and Date
      2010-12-16
    • Related Report
      2010 Final Research Report
  • [Presentation] Tail VaR Measures in a Multi-period Setting2010

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Quantitative Methods in Finance Conference (QMF) 2010
    • Place of Presentation
      Sydney, Australia
    • Year and Date
      2010-12-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] Weak Time Consistency Conditions for Tail VaR Measures2010

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Workshop on Mathematical Finance and Related Issues
    • Place of Presentation
      Kyoto Research Park, Kyoto, Japan
    • Year and Date
      2010-09-13
    • Related Report
      2010 Final Research Report
  • [Presentation] Weak Time Consistency Conditions for Tail VaR Measures2010

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Workshop on Mathematical Finance and Related Issues
    • Place of Presentation
      Kyoto Research Park
    • Year and Date
      2010-09-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Simple Improvement Method for Upper Bound of American Option2010

    • Author(s)
      Koichi Matsumoto
    • Organizer
      6th World Congress of the Bachelier Finance Society
    • Place of Presentation
      Hilton Hotel, Toronto, Canada
    • Year and Date
      2010-06-23
    • Related Report
      2010 Final Research Report
  • [Presentation] Simple Improvement Method for Upper Bound of American Option2010

    • Author(s)
      Koichi Matsumoto
    • Organizer
      6th World Congress of the Bachelier Finance Society
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      2010-06-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Weak Time Consistency and Multi-period Tail VaR Measures2010

    • Author(s)
      Koichi Matsumoto
    • Organizer
      2010 Workshop & Spring School on Stochastic Calculus and Applications
    • Place of Presentation
      Academia Sinica in National Taiwan University, Taipei, Taiwan
    • Year and Date
      2010-04-16
    • Related Report
      2010 Final Research Report
  • [Presentation] Weak Time Consistency and Multi-period Tail VaR Measures2010

    • Author(s)
      Koichi Matsumoto
    • Organizer
      2010 Workshop & Spring School on Stochastic Calculus and Applications
    • Place of Presentation
      Taipei, Taiwan
    • Year and Date
      2010-04-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] 条件付バリュー・アット・リスクの多期間化2010

    • Author(s)
      香月佑太, 松本浩一
    • Organizer
      科研費研究集会「数理ファイナンスとその周辺」
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-01-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Option Replication in Discrete Time with Liquidity Risk2009

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Quantitative Methods in Finance Conference 2009
    • Place of Presentation
      Amora Hotel, Sydney, Australia
    • Year and Date
      2009-12-17
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report
  • [Presentation] Option Replication in Discrete Time with Liquidity Risk2009

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Quantitative Methods in Finance Conference (QMF) 2009
    • Place of Presentation
      Sydney, Australia
    • Year and Date
      2009-12-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Improvement in Upper Bound of American Options2009

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Mathematical Finance and Related Topics in Economics and Engineering
    • Place of Presentation
      Kansai Seminar House, Kyoto, Japan
    • Year and Date
      2009-08-13
    • Related Report
      2010 Final Research Report
  • [Presentation] Improvement in Upper Bound of American Options2009

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Mathematical Finance and Related Topics in Economics and Engineering
    • Place of Presentation
      Kansai Seminar House
    • Year and Date
      2009-08-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] Simple Improvement Method of Upper Bound of American Options2009

    • Author(s)
      Koichi Matsumoto
    • Organizer
      OPTIMAL STOPPING WITH APPLICATIONS
    • Place of Presentation
      Abo Akademi University, Abo/Turku, Finland
    • Year and Date
      2009-06-24
    • Related Report
      2010 Final Research Report
  • [Presentation] Simple Improvement Method of Upper Bound of American Options2009

    • Author(s)
      Koichi Matsumoto
    • Organizer
      OPTIMAL STOPPING WITH APPLICATIONS
    • Place of Presentation
      Turku, Finland
    • Year and Date
      2009-06-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] 流動性リスクの数理モデル〜Cetin, Jarrow, Protterモデルの紹介-2009

    • Author(s)
      松本浩一
    • Organizer
      科研費研究集会「数理ファイナンスとその周辺」
    • Place of Presentation
      九州大学
    • Year and Date
      2009-01-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] アメリカンオプションの上方境界の改善手法2009

    • Author(s)
      坪田健吾, 松本浩一
    • Organizer
      科研費研究集会「数理ファイナンスとその周辺」
    • Place of Presentation
      九州大学
    • Year and Date
      2009-01-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] Optimal Hedging with Partial Execution Risk2008

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Quantitative Methods in Finance Conference 2008
    • Place of Presentation
      Amora Hotel, Sydney, Australia
    • Year and Date
      2008-12-19
    • Related Report
      2010 Final Research Report
  • [Presentation] Optimal Hedging with Partial Execution Risk2008

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Quantitative Methods in Finance Conference(QMF)2008
    • Place of Presentation
      Sydney
    • Year and Date
      2008-12-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] Mean-Variance Hedging in Discrete Time with Execution2008

    • Author(s)
      Koichi Matsumoto
    • Organizer
      WORKSHOP ON "FINANCE AND RELATED MATHEMATICAL AND STATISTICAL ISSUES
    • Place of Presentation
      Kyoto Research Park, Kyoto, Japan
    • Year and Date
      2008-09-04
    • Related Report
      2010 Final Research Report
  • [Presentation] Mean-Variance Hedging in Discrete Time with Execution Uncertainty2008

    • Author(s)
      Koichi Matsumoto
    • Organizer
      WORKSHOP ON "FINANCE AND RELATED MA THEMATICAL AND STATISTICAL ISSUES"
    • Place of Presentation
      Kyoto Research Park
    • Year and Date
      2008-09-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] Dynamic Programming and Mean-Variance Hedging with Partial Execution Risk2008

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Bachelier Finance Society Fifth World Congress
    • Place of Presentation
      Imperial College, London, the United Kingdom
    • Year and Date
      2008-07-18
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report
  • [Presentation] Dynamic Programming and Mean-Variance Hedging with Partial Execution Risk2008

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Bachelier Finance Society, Fifth World Congress
    • Place of Presentation
      Imperial College
    • Year and Date
      2008-07-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] Optimal Hedging with Execution Risk2008

    • Author(s)
      Koichi Matsumoto
    • Organizer
      九州確率論セミナー
    • Place of Presentation
      九州大学
    • Year and Date
      2008-05-16
    • Related Report
      2008 Annual Research Report
  • [Presentation] Mean-Variance Hedging with Partial Execution Risk2008

    • Author(s)
      Koichi Matsumoto
    • Organizer
      科研費研究集会「数理ファイナンスとその周辺」, 東京大学大学院数理科学研究科
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2008-01-24
    • Related Report
      2010 Final Research Report
  • [Presentation] Mean-Variance Hedging with Partial Ececution Risk2008

    • Author(s)
      松本 浩一
    • Organizer
      数理ファイナンスとその周辺
    • Place of Presentation
      東京大学
    • Year and Date
      2008-01-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] Mean-Variance Hedging in Random Discrete Trade Time2007

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Quantitative Methods in Finance Conference 2007
    • Place of Presentation
      Amora Hotel, Sydney, Australia
    • Year and Date
      2007-12-13
    • Related Report
      2010 Final Research Report
  • [Presentation] Mean-Variance Hedging in Random Discrete Trade Time2007

    • Author(s)
      Koichi, Matsumoto
    • Organizer
      Quantitative Methods in Finance Conference(QMF) 2007
    • Place of Presentation
      Sydney
    • Year and Date
      2007-12-13
    • Related Report
      2007 Annual Research Report
  • [Presentation] Optimal Strategy with Uncertain Trade Execution2007

    • Author(s)
      Koichi Matsumoto
    • Organizer
      「ファイナンスの数理解析とその応用」研究集会
    • Place of Presentation
      京都大学数理解析研究所, Kyoto, Japan
    • Year and Date
      2007-11-20
    • Related Report
      2010 Final Research Report
  • [Presentation] Optimal Strategy with Uncertain Trade Execution2007

    • Author(s)
      松本 浩一
    • Organizer
      ファイナンスの数理解析とその応用
    • Place of Presentation
      京都大学
    • Year and Date
      2007-11-20
    • Related Report
      2007 Annual Research Report
  • [Presentation] Mean-Variance Hedging in an Illiquid Market2007

    • Author(s)
      Koichi Matsumoto
    • Organizer
      Workshop and Mid-Term Conference on Advanced Mathematical Methods for Finance
    • Place of Presentation
      Vienna University of Technology, Vienna, Austria
    • Year and Date
      2007-09-19
    • Related Report
      2010 Final Research Report 2009 Self-evaluation Report
  • [Presentation] Mean-Variance Hedging in an Illiquid Market2007

    • Author(s)
      Koichi, Matsumoto
    • Organizer
      Workshop and Mid-Term Conference on Advanced Mathematical Methods for Finace
    • Place of Presentation
      Vienna University of Technology
    • Year and Date
      2007-09-19
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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