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Studies on Adaptive Portfolio and its Eguilibrium Price

Research Project

Project/Area Number 10630099
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Commerce
Research InstitutionOsaka University

Principal Investigator

TABATA Yoshio  Osaka University, 大学院・経済学研究科, 教授 (30028047)

Co-Investigator(Kenkyū-buntansha) TAKEDA Eiji  Osaka University, 大学院・経済学研究科, 教授 (80106624)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 1999: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1998: ¥1,900,000 (Direct Cost: ¥1,900,000)
KeywordsPortfolio / Adaptive Process / Index Fund / Baye's Theorem / Goal Programming
Research Abstract

This study is concerned with an investment decision problem with multiple criteria and an adaptive index fund under mean square error tracking. Our investment problem considers the multiple objective function like maximization of the expected return and minimization of risk which is contradictory to each other. The optimal decision is derived by goal programming technique and the result is published in the academic journal. On the other hand, the adaptive index fund is designed by a Bayesian approach under the mean square tracking error criterion. We have concentrated on our attention to an unknown rate of return vector with the known variance-covariance matrix. It has been demonstrated that an adaptive readjustment method is established by mean of a simple relationship between frontier portfolios.
These results were reported in the workshop in the OR society of Japan and in the international conferences held in New Zealand and U.S.A. In addition, some of them are published in the academic journals and the comments and reflects from researchers have been required. Many problems of the equilibrium price of the adaptive portfolio and of the relationship between the individual security and the portfolio are left for future research.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (10 results)

All Other

All Publications (10 results)

  • [Publications] Ali. Rostamy and Y. Tabata: "Appraising the Effectiveness of GP in Incorporating the Decision Maker(DM)'s Preferences"Journal of the Operations Research Soc. Japan. 41・2. 279-288 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Tabata Y.: "Some Problems in Mathematical Finance"Journal of the Mongolian Mathematical Society. 3. 50-54 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Tabata Y.: "Adaptive Index Fund under Mean Square Tracing"Proceeding of the 1st Western Pacific and 3rd Workshop on Stachaetic Models. 504-511 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Ali Rostamy and Y. Tabata: "Appraising the Effectiveness of GP in Incorporating the Decision Maker (DM)'s Preferences"Journal of the Operations Research Society of Japan. Vol.41, No.2. 279-288 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Tabata Y.: "Some Problems in Mathematical Finance"Journal of the Mongolian Mathematical Society. Vol.3. 50-54 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Tabata Y.: "Adaptive Index fund under Mean Square Tracking"Proceeding of the 1ィイD1stィエD1 Western Pacific and 3ィイD1rdィエD1 Workshop on Stochastic Models. 504-511 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Ali Rostamy and Y.Tabata: "Appraising the Effectiveness of Goal Programming"Journal of Operations Research Society of Japan. 41・2. 279-288 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] Tabata Y.: "Some Problems in Mathematical Finance"Journal of the Mongolian Mathematical Society. No.3. 50-54 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Tabata Y.: "Adaptive Index Fund under Mean Square Tracking"Proceeding of the 1st Western Pacific and 3rd Workshop on Stochastic Models in Engineering and Management. 504-511 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Ali Rostamy and Tabata: "Appraising the Effectiveness of Goal Programming in Incorporating the Decision Maker's Preforms" Journal of Operations Research Society of Japan. 41・2. 279-288 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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