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A Statistical Learning Analysis to Norm-Constrained Portfolio Optimization

Research Project

Project/Area Number 20710120
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Social systems engineering/Safety system
Research InstitutionChuo University

Principal Investigator

GOTO Junya  Chuo University, 理工学部, 准教授 (40334031)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsポートフォリオ最適化 / VaR(バリュー・アット・リスク) / CVaR(条件付きバリュー・アット・リスク) / 汎化誤差 / ノルム制約 / ポートフォリオ選択 / 正則化 / バリューアットリスク(VaR) / 条件付きVaR(CVaR) / support vector machine(SVM)
Research Abstract

In this project, we investigate a portfolio optimization approach on the basis of the minimizations of VaR and CVaR, which have obtained a growing popularity both in practice and theory. Employing a theoretical underpinning known as the generalization theory for the ν-SVM, a statistical learning method, we empirically show that the norm-constrained versions of VaR and CVaR minimizations achieve better out-of-sample performance than the unconstrained versions.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (28 results)

All 2011 2010 2009 2008 Other

All Journal Article (13 results) (of which Peer Reviewed: 9 results) Presentation (13 results) Remarks (2 results)

  • [Journal Article] Numerical Evaluation of Dynamic Behavior of Ornstein-Uhlenbeck Processes Modified by Various Boundaries and its Application to Pricing Barrier Options2011

    • Author(s)
      Jun-ya Gotoh, Hui Jin, Ushio Sumita
    • Journal Title

      Methodology and Computing in Applied Probability 13巻

      Pages: 193-219

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Evaluation of Dynamic Behavior of Ornstein-Uhlenbeck Processes Modified by Various Boundaries and its Application to Pricing Barrier Options2011

    • Author(s)
      Jun-ya Gotoh, Hui Jin, Ushio Sumita
    • Journal Title

      Methodology and Computing in Applied Probability

      Volume: 13 Pages: 193-219

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Yuichi Takano, Jun-ya Gotoh2010

    • Author(s)
      Yuichi Takano, Jun-ya Gotoh
    • Journal Title

      Constant Rebalanced Portfolio Optimization Under Nonlinear Transaction Costs Asia-Pacific Financial Markets(掲載決定(印刷中))Online First

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Support Vector Regression as Conditional Value-at-Risk Minimization with Application to Financial Time-Series Analysis20102010

    • Author(s)
      Akiko Takeda., Jun-ya Gotoh, Masashi Sugiama
    • Journal Title

      IEEE International Workshop on Machine Learning for Signal Processing

      Pages: 118-123

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Constant Rebalanced Portfolio Optimization Under Nonlinear Transaction Costs2010

    • Author(s)
      Yuichi Takano, Jun-ya Gotoh
    • Journal Title

      Asia-Pacific Financial Markets

      Volume: Online First(掲載決定(印刷中))

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Support Vector Regression as Conditional Value-at-Risk Minimization with Application to Financial Time-Series Analysis2010

    • Author(s)
      Takeda, A., Gotoh, J., Sugiama, M.
    • Journal Title

      2010 IEEE International Workshop on Machine Learning for Signal Processing

      Pages: 118-123

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Evaluation of Dynamic Behavior of Ornstein-Uhlenbeck Processes Modified by Various Boundaries and its Application to Pricing Barrier Options2010

    • Author(s)
      Gotoh, J., Jin, H., Sumita, U.
    • Journal Title

      Methodology and Computing in Applied Probability (掲載決定(印刷中))

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Improving the Out-of-Sample Performance via VaR/CVaR Minimization: A Statistical Learning Approach to Portfolio Selection2009

    • Author(s)
      後藤順哉, 武田朗子
    • Journal Title

      統計数理研究所共同研究リポート229「最適化:モデリングとアルゴリズム」22巻

      Pages: 36-50

    • Related Report
      2010 Final Research Report
  • [Journal Article] On the Role of the Norm Constraint in Portfolio Selection2009

    • Author(s)
      Jun-va Gotoh, Akiko Takeda
    • Journal Title

      Department of Industrial and Systems Engineerin a Discussion Paper Series 03

      Pages: 1-23

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Improving the Out-of-Sample Performance via VaR/CVaR Minimization : A Statistical Learning Approach to Portfolio Selection2009

    • Author(s)
      後藤順哉, 武田朗子
    • Journal Title

      統計数理研究所共同研究リポート229「最適化 : モデリングとアルゴリズム」 22

      Pages: 36-50

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Conditional minimum volume ellipsoid with application to multiclass discrimination2008

    • Author(s)
      Jun-ya Gotoh, Akiko Takeda
    • Journal Title

      Computational Optimization and Applications 41巻

      Pages: 27-51

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Conditional minimum volume ellipsoid with application to multiclass dis crimination2008

    • Author(s)
      Jun-va Gotoh, Akiko Takeda
    • Journal Title

      Computational Optimization and Applications 41

      Pages: 27-51

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Portfolio Learning via VaR/CVaR Minimization2008

    • Author(s)
      Jun-va Gotoh, Akiko Takeda
    • Journal Title

      Department of Industrial and Systems Engineerin a Discussion Paper Series 04

      Pages: 1-27

    • Related Report
      2008 Annual Research Report
  • [Presentation] A Robust CVaR Portfolio Using Model-Based Uncertainty2010

    • Author(s)
      Jun-ya Gotoh, K.Shinozaki
    • Organizer
      INFORMS Annual Meeting
    • Place of Presentation
      Austin Convention Center
    • Year and Date
      2010-11-09
    • Related Report
      2010 Final Research Report
  • [Presentation] Convex Optimization Approaches for Maximally Predictable Portfolio Selection2010

    • Author(s)
      Jun-ya Gotoh, K.Fujisawa
    • Organizer
      INFORMS Annual Meeting
    • Place of Presentation
      Austin Convention Center
    • Year and Date
      2010-11-09
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] A Robust CVaR Portfolio Using Mdel-Based Uncertainty2010

    • Author(s)
      J.Gotoh, K.Shinozaki
    • Organizer
      INFORMS Annual Meeting
    • Place of Presentation
      Austin Convention Center
    • Year and Date
      2010-11-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] On the Role of Norm Constraints in Portfolio Selection2009

    • Author(s)
      Jun-ya Gotoh, A.Takeda
    • Organizer
      INFORMS Annual Meeting
    • Place of Presentation
      Hilton San Diego Bayfront(米国)
    • Year and Date
      2009-10-12
    • Related Report
      2010 Final Research Report
  • [Presentation] On the Role of Norm Constraints in Portfolio Selection2009

    • Author(s)
      Jun-ya Gotoh, A.Takeda
    • Organizer
      20^<th> International Symposium on Mathematical Programming
    • Place of Presentation
      The University of Chicago, Booth School of Business(米国)
    • Year and Date
      2009-08-24
    • Related Report
      2010 Final Research Report
  • [Presentation] ノルム制約を課したCVaR偏差最小化トラッキング・ポートフォリオ2009

    • Author(s)
      後藤順哉, 武田朗子
    • Organizer
      日本金融・証券計量・工学学会夏季大会
    • Place of Presentation
      法政大学、市ヶ谷(東京都)
    • Year and Date
      2009-07-30
    • Related Report
      2010 Final Research Report
  • [Presentation] ポートフォリオ最適化におけるノルム制約の役割2009

    • Author(s)
      後藤順哉, 武田朗子
    • Organizer
      について研究集会「最適化:モデリングとアルゴリズム」
    • Place of Presentation
      統計数理研究所(東京)
    • Year and Date
      2009-03-25
    • Related Report
      2010 Final Research Report
  • [Presentation] ポートフォリオ最適化におけるノルム制約の役割について2009

    • Author(s)
      後藤順哉, 武田朗子
    • Organizer
      研究集会「最適化 : モデリングとアルゴリズム」
    • Place of Presentation
      統計数理研究所(東京)
    • Year and Date
      2009-03-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] ポートフォリオ最適化におけるノルム制約2009

    • Author(s)
      後藤順哉, 武田朗子
    • Organizer
      日本オペレーションズ・リサーチ学会春季発表会
    • Place of Presentation
      筑波大学春日キャンパス(茨城)
    • Year and Date
      2009-03-18
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Presentation] Improving Portfolio Performance via VaR/CVaR Minimization: A Statistical Learning Approach2008

    • Author(s)
      Jun-ya Gotoh, Akiko Takeda
    • Organizer
      INFORMS Annual Meeting 2008
    • Place of Presentation
      Marriott Wardman Park Hotel(ワシントンD.C.,米国)
    • Year and Date
      2008-10-12
    • Related Report
      2010 Final Research Report
  • [Presentation] Improving Portfolio Performance via VaR/CVaR Minimization : A Statistic al Learning Approach2008

    • Author(s)
      Jun-va Gotoh, Akiko Takeda
    • Organizer
      INFORMS Annual Meeting 2008
    • Place of Presentation
      Marhott Wardman Park Hotel(ワシントンD. C., 米国)
    • Year and Date
      2008-10-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] 汎化理論に基づくVaR/CVaR最小化ポートフォリオ選択モデル2008

    • Author(s)
      後藤順哉, 武田朗子
    • Organizer
      日本オペレーションズ・リサーチ学会秋季発表会
    • Place of Presentation
      札幌コンベンションセンター(北海道)
    • Year and Date
      2008-09-11
    • Related Report
      2010 Final Research Report
  • [Presentation] 汎化理論に基づくVaR/cvaR最小化ポートフォリオ選択モデル2008

    • Author(s)
      後藤順哉, 武田朗子
    • Organizer
      日本オペレーションズ・リサーチ学会秋季発表会
    • Place of Presentation
      札幌コンベンションセンター(北海道)
    • Year and Date
      2008-09-11
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ等

    • URL

      http://www.indsys.chuo-u.ac.jp/~jgoto/

    • Related Report
      2010 Final Research Report
  • [Remarks] (ディスカッション・ペーパーのダウンロード)

    • URL

      http://www.indsys.chuo-u.ac.jp/~jgoto/

    • Related Report
      2010 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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