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Research on portfolio selection problems incorporating uncertainty of investment times

Research Project

Project/Area Number 19K01757
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 07060:Money and finance-related
Research InstitutionChiba Institute of Technology

Principal Investigator

Xu Chunhui  千葉工業大学, 社会システム科学部, 教授 (70279058)

Co-Investigator(Kenkyū-buntansha) 椎名 孝之  早稲田大学, 理工学術院, 教授 (90371666)
Project Period (FY) 2019-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2021: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsポートフォリオ選択問題 / 投資時間の不確実性 / 市場リスク / PVaR / VaR / ポートフォリオ選択 / 投資時間不確実性 / 金融投資 / 投資評価 / ポートフォリオ / 時間不確実性
Outline of Research at the Start

本研究は投資の開始と終了のタイミングを可変的なものとし、金融投資の評価方法と投資決定方法を提案する。具体的には、1.投資の開始・終了時間を可変なものとし、金融投資の評価方法を提案する。2.投資のタイミングが可変な状況におけるポートフォリオ選択問題に対して、投資家の要求に答えられる投資決定モデルを構築し、それらモデルの解析方法の開発を行う。

Outline of Final Research Achievements

The portfolio selection problem with unfixed investment times was studied from two directions.
1) By considering investment times as random variables, we proposed an investment evaluation method and portfolio optimization methods. Specifically, we suggested using the interval risk measure PVaR, recently proposed by the principal investigator, as an indicator to measure investment risk under the uncertainties of time and market, and using the expected return under the dual uncertainties as investment return. Based on this approach, we developed models and solving methods for the portfolio optimization problem.
2) By considering the investment end time as a decision variable, we proposed a simultaneous optimization method for both investment end time and allocation ratios. In particular, when measuring investment risk with VaR, we suggested an efficient method to solve the simultaneous optimization model.

Academic Significance and Societal Importance of the Research Achievements

現代ポートフォリオ選択理論(MPT)は投資時間が確定的なものという前提に成り立っているので、その適応範囲は投資時間確定の状況に限られている。本研究は投資時間非固定状況に適応する投資決定方法を提案したことで、理論的にMPTの適応範囲をより一般的な投資状況に拡大した。特に提案したPVaRは時間と市場の2重不確実性によるリスクが初めて測れるようになった。
投資時間非固定の状況はより一般的な投資状況であり、本研究はより一般的な投資状況に適応する投資評価方法と投資決定方法を提案したことで、より多くの投資実践で使える方法を提供した。

Report

(6 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (12 results)

All 2023 2022 2021 2020 Other

All Int'l Joint Research (8 results) Journal Article (3 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 3 results,  Open Access: 2 results) Book (1 results)

  • [Int'l Joint Research] Stanford University(米国)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] China Jiliang University(中国)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] China Jilang University/Northeastern University(中国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Stanford University(米国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Stanford University(米国)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] China Jilang University/Northeastern University(中国)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] Stanford University(米国)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] Tsinghua University/China Jilang University/Northeastern University(中国)

    • Related Report
      2019 Research-status Report
  • [Journal Article] Optimization of Asset Allocation and Liquidation Time in Investment Decisions with VaR as a Risk Measure2023

    • Author(s)
      Chunhui Xu, Yinyu Ye
    • Journal Title

      Computational Economics

      Volume: - Issue: 1 Pages: 551-577

    • DOI

      10.1007/s10614-023-10451-x

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Period value at risk and its estimation by Monte Carlo simulation2021

    • Author(s)
      Huo Yanli, Xu Chunhui, Shiina Takayuki
    • Journal Title

      Applied Economics Letters

      Volume: - Issue: 18 Pages: 1-5

    • DOI

      10.1080/13504851.2021.1958136

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Modeling and solving portfolio selection problems based on PVaR2020

    • Author(s)
      Huo Yanli, Xu Chunhui, Shiina Takayuki
    • Journal Title

      Quantitative Finance

      Volume: 20 Issue: 12 Pages: 1889-1898

    • DOI

      10.1080/14697688.2020.1819552

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Book] PVaR: A New Risk Measure for Financial Investments, in "Systems Research II"2022

    • Author(s)
      Chunhui XU
    • Total Pages
      18
    • Publisher
      Springer
    • ISBN
      9789811699405
    • Related Report
      2022 Research-status Report

URL: 

Published: 2019-04-18   Modified: 2025-01-30  

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