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An Optimal Medium- to Long-Term Investment Strategy Using Kernel Method and Control Policy

Research Project

Project/Area Number 23810007
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Social systems engineering/Safety system
Research InstitutionTokyo Institute of Technology

Principal Investigator

TAKANO Yuichi  東京工業大学, 大学院・社会理工学研究科, 助教 (40602959)

Project Period (FY) 2011 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords動的資産運用 / 数理最適化 / 制御関数 / カーネル法 / 次元縮約 / 多期間ポートフォリオ / 制御ポリシー
Research Abstract

The present study utilized nonlinear control policies to dynamically rebalance the portfolio for medium- to long-term asset allocation. By using the kernel method which is a class of algorithm for nonlinear data analysis, the problem can be reduced to a convex quadratic optimization problem. Moreover, a dimensionality reduction technique based on eigenvalue decomposition was also developed to reduce the problem size. Numerical experiments were conducted to assess the investment performance of the strategy established by this study and the effectiveness of the dimensionality reduction technique.

Report

(3 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • Research Products

    (34 results)

All 2013 2012 2011 Other

All Journal Article (8 results) (of which Peer Reviewed: 8 results) Presentation (26 results) (of which Invited: 4 results)

  • [Journal Article] A Sequential Competitive Bidding Strategy Considering Inaccurate Cost Estimates2013

    • Author(s)
      Y. Takano, N. Ishii and M. Muraki
    • Journal Title

      OMEGA, The International Journal of Management Science

      Volume: 未定

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Two-Step Bidding Price Decision Algorithm under Limited Man-Hours in EPC Projects2013

    • Author(s)
      N. Ishii, Y. Takano and M. Muraki
    • Journal Title

      Proceedings of the SIMULTECH 2013

      Volume: 未定

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A PolynomialOptimization Approach to Constant Rebalanced Portfolio Selection2012

    • Author(s)
      Y.Takano and R.Sotirov
    • Journal Title

      Computational Optimization and Applications

      Volume: Vol.52,No.3 Pages: 645-666

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Polynomial Optimization Approach to Constant Rebalanced Portfolio Selection2012

    • Author(s)
      Y.Takano, R.Sotirov
    • Journal Title

      Computational Optimization and Applications

      Volume: (掲載確定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A NonlinearControl Policy Using Kernel Method for Dynamic Asset Allocation2011

    • Author(s)
      Y.Takano and J.Gotoh
    • Journal Title

      Journal of the Operations Research Society ofJapan 1234262GD004 Vol.54,No.4

      Pages: 201-218

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Nonlinear Control Policy Using Kernel Method for Dynamic Asset Allocation2011

    • Author(s)
      Y.Takano, J.Gotoh
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: 54 Pages: 201-218

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Sequential Competitive Bidding Strategy Considering Inaccurate Cost Estimates

    • Author(s)
      Y.Takano,N.Ishii and M.Muraki
    • Journal Title

      OMEGA,The International Journal of Management Science

      Volume: (掲載決定済)

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] ATwo-Step Bidding Price Decision Algorithm under Limited Man-Hours in EPC Projects, Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies

    • Author(s)
      N.Ishii,Y.Takano and M.Muraki
    • Journal Title

      Technologies and Applications

      Volume: (掲載決定済)

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Presentation] A Cutting Plane Algorithm for Mean-CVaR Portfolio Optimization under Nonconvex Transaction Costs2013

    • Author(s)
      Y.Takano
    • Organizer
      The 26th EURO-INFORMS Joint International Conference, Sapienza University of Rome
    • Place of Presentation
      Italy
    • Year and Date
      2013-07-14
    • Related Report
      2012 Final Research Report
  • [Presentation] 確率計画法とその応用2013

    • Author(s)
      高野祐一
    • Organizer
      「電力システムと最適化」ワークショップ
    • Place of Presentation
      東京大学生産技術研究所
    • Year and Date
      2013-03-28
    • Related Report
      2012 Final Research Report
  • [Presentation] カーネル法を利用した動的ポートフォリオ最適化2013

    • Author(s)
      高野祐一
    • Organizer
      日本OR学会2013年春季研究発表会
    • Place of Presentation
      東京大学
    • Related Report
      2012 Final Research Report
  • [Presentation] ノンパラメトリック項目反応理論のための数理最適化モデル2013

    • Author(s)
      高野祐一
    • Organizer
      日本OR学会2013年春季研究発表会
    • Place of Presentation
      東京大学
    • Related Report
      2012 Final Research Report
  • [Presentation] A Cutting Plane Algorithm for Mean-CVaR Portfolio Optimization under Nonconvex Transaction Costs2013

    • Author(s)
      Y. Takano
    • Organizer
      The 26th EURO-INFORMS Joint International Conference
    • Place of Presentation
      Sapienza University of Rome, Italy
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] カーネル法を利用した動的ポートフォリオ最適化2013

    • Author(s)
      高野祐一
    • Organizer
      日本OR学会 2013年春季研究発表会
    • Place of Presentation
      東京大学 本郷キャンパス(東京都)
    • Related Report
      2012 Annual Research Report
  • [Presentation] ノンパラメトリック項目反応理論のための数理最適化モデル2013

    • Author(s)
      高野祐一
    • Organizer
      日本OR学会 2013年春季研究発表会
    • Place of Presentation
      東京大学 本郷キャンパス(東京都)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 動的資産配分のためのカーネル法を利用した非線形制御ポリシー2012

    • Author(s)
      高野祐一
    • Organizer
      日本OR学会研究部会「確率最適化モデルとその応用」
    • Place of Presentation
      芝浦工業大学SIT総合研究所佃イノベーションスクエア
    • Year and Date
      2012-07-14
    • Related Report
      2012 Final Research Report
  • [Presentation] 非線形制御ポリシーを用いた動的ポートフォリオ最適化2012

    • Author(s)
      高野祐一
    • Organizer
      中之島ワークショップ「金融工学・数理計量ファイナンスの諸問題2012」
    • Place of Presentation
      大阪大学金融・保険教育研究センター
    • Related Report
      2012 Final Research Report
  • [Presentation] Control Policy Optimizationfor Dynamic Asset Allocation2012

    • Author(s)
      Y. Takano
    • Organizer
      INFORMS2012 Annual Meeting
    • Place of Presentation
      PhoenixConvention Center, U.S.A.
    • Related Report
      2012 Final Research Report
  • [Presentation] Control Policy Optimizationfor Dynamic Asset Allocation by Using Kernel Principal Component Analysis2012

    • Author(s)
      Y.Takano
    • Organizer
      The 21th International Symposium of Mathematical Programming(ISMP)
    • Place of Presentation
      Berlin Institute of Technology, Germany
    • Related Report
      2012 Final Research Report
  • [Presentation] 動的資産配分のためのカーネル法を利用した非線形制御ポリシー2012

    • Author(s)
      高野祐一
    • Organizer
      日本OR学会2012年春季研究発表会
    • Place of Presentation
      防衛大学校
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] 動的資産配分のためのカーネル法を利用した非線形制御ポリシー2012

    • Author(s)
      高野祐一
    • Organizer
      第36回ジャフィー大会
    • Place of Presentation
      筑波大学東京キャンパス
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] 非線形制御ポリシーを用いた動的ポートフォリオ最適化2012

    • Author(s)
      高野祐一
    • Organizer
      中之島ワークショップ「金融工学・数理計量ファイナンスの諸問題 2012」
    • Place of Presentation
      大阪大学 金融・保険教育研究センター(大阪府)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Control Policy Optimization for Dynamic Asset Allocation2012

    • Author(s)
      Y. Takano
    • Organizer
      INFORMS 2012 Annual Meeting
    • Place of Presentation
      Phoenix Convention Center, U.S.A.
    • Related Report
      2012 Annual Research Report
  • [Presentation] Control Policy Optimization for Dynamic Asset Allocation by Using Kernel Principal Component Analysis2012

    • Author(s)
      Y. Takano
    • Organizer
      The 21th International Symposium of Mathematical Programming (ISMP)
    • Place of Presentation
      Berlin Institute of Technology, Germany
    • Related Report
      2012 Annual Research Report
  • [Presentation] 動的資産配分のためのカーネル法を利用した非線形制御ポリシー2011

    • Author(s)
      高野祐一
    • Organizer
      日本OR学会研究部会「計算と最適化の新展開SCOPE」
    • Place of Presentation
      中央大学
    • Year and Date
      2011-12-17
    • Related Report
      2012 Final Research Report
  • [Presentation] 動的資産配分のためのカーネル法を利用した非線形制御ポリシー2011

    • Author(s)
      高野祐一
    • Organizer
      日本OR学会研究部会「計算と最適化の新展開」
    • Place of Presentation
      中央大学(招待講演)
    • Year and Date
      2011-12-17
    • Related Report
      2011 Annual Research Report
  • [Presentation] A Nonlinear Control Policy Using Kernel Method for Dynamic Asset Allocation2011

    • Author(s)
      Y.Takano
    • Organizer
      INFORMS 2011 Annual Meeting
    • Place of Presentation
      Charlotte Convention Center,U.S.A.
    • Related Report
      2012 Final Research Report
  • [Presentation] データ解析コンペと海外滞在のススメ2011

    • Author(s)
      高野祐一
    • Organizer
      日本OR学会研究部会「OR横断若手の会KSMAP」若手研究交流会
    • Place of Presentation
      琵琶湖コンファレンスセンター
    • Related Report
      2012 Final Research Report
  • [Presentation] A Nonlinear Control Policy Using Kernel Method for Dynamic Asset Aliocation2011

    • Author(s)
      Y.Takano
    • Organizer
      INFORMS 2011 Annual Meeting
    • Place of Presentation
      Charlotte, U.S.A
    • Related Report
      2011 Annual Research Report
  • [Presentation] データ解析コンペと海外滞在のススメ2011

    • Author(s)
      高野祐一
    • Organizer
      日本OR学会研究部会「OR横断若手の会」若手研究交流会
    • Place of Presentation
      琵琶湖コンファレンスセンター(招待講演)
    • Related Report
      2011 Annual Research Report
  • [Presentation] コンスタント・リバランス・ポートフォリオ選択問題に対する多項式最適化アプローチ2011

    • Author(s)
      高野祐一
    • Organizer
      最適化関連RIMS研究集会「最適化手法の深化と広がり」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2011 Annual Research Report
  • [Presentation] コンスタント・リバランス・ポートフォリオ選択問題に対する多項式最適化アプローチ

    • Author(s)
      高野祐一
    • Organizer
      最適化関連RIMS研究集会「最適化手法の深化と広がり」 1234262KD014 20110721-22
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Final Research Report
  • [Presentation] 確率計画法とその応用

    • Author(s)
      高野祐一
    • Organizer
      「電力システムと最適化」ワークショップ
    • Place of Presentation
      東京大学 生産技術研究所(東京都)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 動的資産配分のためのカーネル法を利用した非線形制御ポリシー

    • Author(s)
      高野祐一
    • Organizer
      日本OR学会 研究部会「確率最適化モデルとその応用」
    • Place of Presentation
      芝浦工業大学 SIT総合研究所 佃イノベーションスクエア(東京都)
    • Related Report
      2012 Annual Research Report
    • Invited

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Published: 2011-09-05   Modified: 2019-07-29  

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