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Incomplete market structure with model uncertainty

Research Project

Project/Area Number 15K03546
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Money/ Finance
Research InstitutionHokkai-Gakuen University

Principal Investigator

Daisuke Yoshikawa  北海学園大学, 経営学部, 准教授 (90735424)

Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords不確実性 / モデル・リスク / 市場の摩擦 / 非完備市場 / 条件付き請求権 / 効用無差別価格 / 派生証券市場
Outline of Final Research Achievements

We considered the financial market structure of contingent claims when the probability distribution of asset prices is given in incomplete form. Then, the following results are derived. First, if investors do not set the risk limit, then they do not participate the market. Second, the number of buyer of contingent claims increasing, the price of them increases. Third, the ratio of the number of buyer and seller does not affect the trading volume of contingent claims.
We further clarified the market structure of underlying assets; i.e., when investors and market makers optimize their utilities in models with transaction costs, the transaction costs are determined such that the profit of market makers will be stable, even if the market parameters is fluctuated.
As an application of the above research, we also derived the optimal pairs trading strategy of investors confronting the model uncertainty.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (4 results)

All 2017 2016 Other

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

  • [Journal Article] An entropic approach for pair trading2017

    • Author(s)
      Daisuke Yoshikawa
    • Journal Title

      Entropy

      Volume: 19 Issue: 7 Pages: 320-320

    • DOI

      10.3390/e19070320

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Analyzing Equilibrium in Incomplete Markets with Model Uncertainty2017

    • Author(s)
      Daisuke Yoshikawa
    • Journal Title

      International Review of Finance

      Volume: 17 Issue: 2 Pages: 235-262

    • DOI

      10.1111/irfi.12119

    • Related Report
      2017 Annual Research Report 2016 Research-status Report
    • Peer Reviewed
  • [Presentation] On the Market of Contingent Claims in Models with Uncertainty2016

    • Author(s)
      Daisuke Yoshikawa
    • Organizer
      Vienna Congress on Mathematical Finance - VCMF 2016
    • Place of Presentation
      Vienna, Austria
    • Year and Date
      2016-09-12
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Remarks] Social Science Research Network

    • URL

      http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2635951

    • Related Report
      2015 Research-status Report

URL: 

Published: 2015-04-16   Modified: 2019-03-29  

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