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Jump Diffusion Price Process and Risk Hedge Strategy

Research Project

Project/Area Number 20500262
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionNanzan University

Principal Investigator

TABATA Yoshio  Nanzan University, ビジネス研究科, 教授 (30028047)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords数理ファイナンス / 金融工学 / ジャンプ拡散過程でのインデックス・ファンド / Verhulst-Gompertz型確率微分方程式 / リスク・ヘッジ戦略 / ネットワーク外部性効果 / Levy過程 / ネットワーク外部性 / Verhult-Gompertz equation / Jump Process / ジヤンプ過程 / インデックスファンド / レヴー過程 / 最適制御 / ヘツジ戦略 / 下向きのジャンプ株価過程 / リスクヘッジ
Research Abstract

For the passive risk hedge strategy, we present the construction method of an index-fund in the world of continuous time and the stock price with jumps. To hedge the price evolution at a sudden rise or crash of stock and commodity markets, we present a mathematical model. Under this model, we derive the valuation formulas for European call option and exchange option. A put-call-parity between the exchange call option and the put option is provided.

Report

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

    (18 results)

All 2010 2009 2008 Other

All Journal Article (9 results) (of which Peer Reviewed: 8 results) Presentation (6 results) Book (2 results) Remarks (1 results)

  • [Journal Article] 価格がネットワーク外部性の影響を受ける資産/商品に対するデリバティブの評価2010

    • Author(s)
      赤壁弘康、田畑吉雄
    • Journal Title

      ヘッジと複製戦略について、現代ファイナンス No.20

      Pages: 17-43

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] ビジネススクールにおけるものづくりとOR2010

    • Author(s)
      田畑吉雄
    • Journal Title

      オペレーションズ・リサーチ Vol.55、No.5

      Pages: 290-294

    • NAID

      110007610157

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Valuation of Derivative on Asset with Network Price Externality Effects2010

    • Author(s)
      田畑吉雄, 赤壁弘康
    • Journal Title

      Nineth International Symposium on Operations Research and Its Applications

      Pages: 68-74

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] ビジネススクールにおけるものづくりとOR2010

    • Author(s)
      田畑吉雄
    • Journal Title

      オペレーションズ・リサーチ

      Volume: 55 Pages: 290-294

    • NAID

      110007610157

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Valuation of Derivative on Asset with Network Price Externality Effects2010

    • Author(s)
      Y.Tabata, H.Akakabe
    • Journal Title

      The 9th International Symposium on Operations Research and Its Applications (ISORA'10)

      Pages: 68-74

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 価格がネットワーク外部性の影響を受ける資産/商品に対するデリバティブの評価、ヘッジと複製戦略について2010

    • Author(s)
      赤壁弘康、田畑吉雄
    • Journal Title

      現代ファイナンス

      Volume: 28 Pages: 17-43

    • NAID

      130007528282

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Minimum Tracking Error Problem for Jump Diffusion Stock-Price Process2009

    • Author(s)
      田畑吉雄
    • Journal Title

      Scientiae Mathematicae Japonicae Vol.70,No.2

      Pages: 143-150

    • NAID

      10025867742

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Minimum Tracking Error Problem for Jump Diffusion Stock-Price Process2009

    • Author(s)
      田畑吉雄
    • Journal Title

      Scientiae Mathematicae Japonicae 70

      Pages: 143-150

    • NAID

      10025867742

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ジャンプ拡散過程でのインデックス・ファンド2008

    • Author(s)
      田畑吉雄
    • Journal Title

      南山経営研究 Vol.22、No.3

      Pages: 381-390

    • NAID

      40015999551

    • Related Report
      2010 Final Research Report
  • [Presentation] Valuation of Derivative on Asset with Network Price Externality Effects2010

    • Author(s)
      田畑吉雄
    • Organizer
      ISORA
    • Place of Presentation
      成都市、中国
    • Year and Date
      2010-08-25
    • Related Report
      2010 Final Research Report
  • [Presentation] Valuation of Derivative on Asset with Network Price Externality Effects2010

    • Author(s)
      田畑吉雄
    • Organizer
      ISORA
    • Place of Presentation
      Chengdu, China
    • Year and Date
      2010-08-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] オペレーションズ・マネジメントとものづくり2009

    • Author(s)
      田畑吉雄
    • Organizer
      日本オペレーションズ・リサーチ学会
    • Place of Presentation
      関西学院大学梅田キャンパス
    • Year and Date
      2009-12-12
    • Related Report
      2010 Final Research Report
  • [Presentation] オペレーションズ・マネジメントとものづくり2009

    • Author(s)
      田畑吉雄
    • Organizer
      日本オペレーションズ・リサーチ学会
    • Place of Presentation
      関西学院大学大阪梅田C
    • Year and Date
      2009-12-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] 価格がネットワーク外部性の影響を受ける資産/商品に対するデリバティブの評価、ヘッジと複製戦略について2009

    • Author(s)
      田畑吉雄、赤壁弘康
    • Organizer
      経営財務研究学会西部地区研究集会
    • Place of Presentation
      名古屋市立大学
    • Year and Date
      2009-04-26
    • Related Report
      2010 Final Research Report
  • [Presentation] Index Fund for Jump Diffusion Process2008

    • Author(s)
      田畑 吉雄
    • Organizer
      Management Science Workshop 2008, Japan and Korea
    • Place of Presentation
      韓国釜山市 東義大学校
    • Year and Date
      2008-09-03
    • Related Report
      2008 Annual Research Report
  • [Book] フリーランチと金融工学2009

    • Author(s)
      田畑吉雄
    • Total Pages
      267
    • Publisher
      牧野書店
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Book] フリーランチと金融工学2009

    • Author(s)
      田畑 吉雄
    • Total Pages
      265
    • Publisher
      牧野書店
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ等

    • Related Report
      2010 Final Research Report

URL: 

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

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