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2-dimensional n-person real options problem and its calculation algorithm

Research Project

Project/Area Number 16K01248
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionTokyo Metropolitan University

Principal Investigator

Yagi Kyoko  東京都立大学, 経営学研究科, 准教授 (80451847)

Project Period (FY) 2016-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywordsリアルオプション / 戦略的延滞債務 / コーポレートファイナンス / 企業買収 / 株式公開買付け / 確率的SIRモデル / ロックダウン / 最適停止問題 / 確率制御問題 / 最適停止 / 感染症モデル / Exchange Offer / 友好的合併 / 敵対的買収 / M&A / 企業ファイナンス / 買収プレミアム / 交換オプション / 計算アルゴリズム / クレジットデフォルトスワップ / デフォルト / 参入・撤退 / 企業合併
Outline of Final Research Achievements

We consider strategic debt delinquency problems, M&A decision-making problems, and optimal lockdown problems related to infectious diseases using the real options approach. In the strategic debt delinquency problem, we model a situation in which debt is mutually held and analyze negotiations to exchange debt for equity as a proposal for reduction or exemption of repayments under a strategy that allows shareholders to maximize the value of their equity. Regarding M&A decision-making problems, we conduct various analyzes of hostile takeovers and friendly takeovers. Furthermore, in the optimal lockdown problem related to infectious diseases, we consider the optimal shutdown problem to control infectious diseases based on a stochastic SIR model that considers the effective vaccination rate.

Academic Significance and Societal Importance of the Research Achievements

戦略的延滞問題および合併問題は,経済的インパクトが大きく,国際問題を扱う一方で,広くは経済学における主要なテーマである企業行動の問題である.また,感染症に関する最適なロックダウン問題は,COVID-19等の感染症が世界的に流行する下で,多くの国の意思決定者が経済活動への社会的影響と医療負担との間の実質的なトレードオフを考えた深刻な問題であった.本研究で用いているリアルオプションアプローチは,定量性な指針を武器として,さまざまな問題の解明に寄与すると信じている.

Report

(9 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
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (22 results)

All 2024 2023 2022 2021 2020 2019 2018 2017 2016

All Journal Article (3 results) (of which Peer Reviewed: 2 results,  Open Access: 2 results) Presentation (18 results) (of which Int'l Joint Research: 9 results) Book (1 results)

  • [Journal Article] Optimal Lockdown Policies in a Stochastic SIR Model2023

    • Author(s)
      佐藤 公俊, 八木 恭子, 澤木 勝茂
    • Journal Title

      Journal of Real Options and Strategy

      Volume: 15 Issue: 0 Pages: 1-16

    • DOI

      10.12949/realopn.15.1

    • ISSN
      1881-5774, 1884-1635
    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Optimal Lockdown Decisions of the Stochastic SIR Model with the Allocation Medical Resources2023

    • Author(s)
      Kyoko Yagi, Kimitoshi Sato, Kastushige Sawaki
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2272 Pages: 46-62

    • Related Report
      2023 Annual Research Report
  • [Journal Article] A Stochastic Inventory Model for a Random Yield Supply Chain with Wholesale-Price and Shortage Penalty Contracts2018

    • Author(s)
      Sato Kimitoshi、Yagi Kyoko、Shimazaki Masahito
    • Journal Title

      Asia-Pacific Journal of Operational Research

      Volume: 35 Issue: 06 Pages: 1850040-1850040

    • DOI

      10.1142/s0217595918500409

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] コモディティ市場におけるファクターの特徴とファクター間の関係性2024

    • Author(s)
      西崎薫・内山朋規・八木恭子
    • Organizer
      JAFEE2023冬季大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Optimal Lockdown Decisions of the Stochastic SIR Model Controlling Medical Resources2023

    • Author(s)
      八木恭子・佐藤公俊・澤木勝茂
    • Organizer
      2023年度数理解析研究所研究集会 「ファイナンスの数理解析とその応用」
    • Related Report
      2023 Annual Research Report
  • [Presentation] 確率的SIRモデルによるロックダウンの最適停止問題2022

    • Author(s)
      佐藤公俊・八木恭子・澤木勝茂
    • Organizer
      日本経営工学会2022年春季大会
    • Related Report
      2022 Research-status Report
  • [Presentation] 感染症の SIR モデルにおけるロックダウンの最適停止問題について2021

    • Author(s)
      佐藤公俊・八木恭子・澤木勝茂
    • Organizer
      日本リアルオプション学会 2021 年研究発表大会
    • Related Report
      2021 Research-status Report
  • [Presentation] The Dynamics of Takeovers through Exchange Offers2020

    • Author(s)
      鈴木輝好・八木恭子
    • Organizer
      2020年度数理解析研究所研究集会 「ファイナンスの数理解析とその応用」
    • Related Report
      2020 Research-status Report
  • [Presentation] シナジー効果とリスク分散を考慮したリアルオプション手法による合併・買収の評価モデルについて2019

    • Author(s)
      澤木勝茂,佐藤公俊,八木恭子
    • Organizer
      日本オペレーションズ・リサーチ学会2019年春季研究発表会
    • Related Report
      2018 Research-status Report
  • [Presentation] Optimal Timing and Terms of Mergers and Acquisitions Based on a Real Options Approach2018

    • Author(s)
      Katsushige Sawaki, Kyoko Yagi, Kimitoshi Sato
    • Organizer
      2018 INFORMS International Conference
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] The Dynamics of Exchange Offer2018

    • Author(s)
      陳文君,鈴木 輝好,八木 恭子
    • Organizer
      日本ファイナンス学会第26回大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Default Contagion and Systemic Risk in the Presence of Credit Default Swaps2018

    • Author(s)
      西出 勝正,鈴木 輝好,八木 恭子
    • Organizer
      日本オペレーションズ・リサーチ学会2018年秋季研究発表会
    • Related Report
      2018 Research-status Report
  • [Presentation] Default Contagion and Systemic Risk in the Presence of Credit Default Swaps2017

    • Author(s)
      Katsumasa Nishide, Teruyoshi Suzuki and Kyoko Yagi
    • Organizer
      Winter Workshop on Operations Research, Finance and Mathematics, 2017
    • Place of Presentation
      定山渓ビューホテル(北海道札幌市)
    • Year and Date
      2017-02-23
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] A Dynamic Model of Tender and Exchange Offer2017

    • Author(s)
      Wenjun Chen, Teruyoshi Suzuki and Kyoko Yagi
    • Organizer
      Quantitative Methods in Finance 2017 Conference
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A Dynamic Model of Tender and Exchange Offer2017

    • Author(s)
      Wenjun Chen, Teruyoshi Suzuki and Kyoko Yagi
    • Organizer
      Mathematics of Risk-Conference
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Default Contagion and Systemic Risk in the Presence of Credit Default Swaps2017

    • Author(s)
      Katsumasa Nishide, Teruyoshi Suzuki and Kyoko Yagi
    • Organizer
      Mathematics of Risk-Conference
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Default Contagion and Systemic Risk in the Presence of Credit Default Swaps2017

    • Author(s)
      西出勝正・鈴木輝好・八木恭子
    • Organizer
      日本経済学会2017年度春季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Debt-Equity Swap and Strategic Debt Service with Firms' Cross-holdings of Debts2016

    • Author(s)
      Teruyoshi Suzuki and Kyoko Yagi
    • Organizer
      Quantitative Methods in Finance 2016 Conference
    • Place of Presentation
      Sydney (Australia)
    • Year and Date
      2016-12-14
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Debt-Equity Swap and Strategic Debt Service with Firms' Cross-holdings of Debts2016

    • Author(s)
      Teruyoshi Suzuki and Kyoko Yagi
    • Organizer
      BACHELIER FINANCE SOCIETY 2016
    • Place of Presentation
      New York (USA)
    • Year and Date
      2016-07-19
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Default Contagion and Systemic Risk in the Financial Markets with Credit Default Swap2016

    • Author(s)
      Katsumasa Nishide, Teruyoshi Suzuki and Kyoko Yagi
    • Organizer
      BACHELIER FINANCE SOCIETY 2016
    • Place of Presentation
      New York (USA)
    • Year and Date
      2016-07-16
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Debt-Equity Swap and Strategic Debt Service with Firms' Cross-holdings of Debts2016

    • Author(s)
      Teruyoshi Suzuki and Kyoko Yagi
    • Organizer
      INFORMS International 2016 Meeting
    • Place of Presentation
      Hawaii (USA)
    • Year and Date
      2016-06-13
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Book] 証券投資理論2018

    • Author(s)
      八木 恭子、澤木 勝茂
    • Total Pages
      212
    • Publisher
      ミネルヴァ書房
    • ISBN
      9784623083558
    • Related Report
      2018 Research-status Report

URL: 

Published: 2016-04-21   Modified: 2025-01-30  

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