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Risk-evaluation modeling based on Levy process and its applications

Research Project

Project/Area Number 19540143
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionNagoya City University

Principal Investigator

MIYAHARA Yoshio  Nagoya City University, 大学院・経済学研究科, 教授 (20106256)

Co-Investigator(Kenkyū-buntansha) 三澤 哲也  名古屋市立大学, 大学院・経済学研究科, 教授 (10190620)
藤原 司  兵庫教育大学, 学校教育研究科, 准教授 (30199385)
Co-Investigator(Renkei-kenkyūsha) MISAWA Tetsuya  名古屋市立大学, 大学院・経済学研究科, 教授 (10190620)
FUJIWARA Tsukasa  兵庫教育大学, 学校教育研究科, 准教授 (30199385)
Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords数理ファイナンス / リスク評価 / 価値評価 / レヴィ過程 / オプション価格 / リスク鋭感的価値尺度
Research Abstract

Relating to the mathematical finance theory, we have studied the option pricing problems in the incomplete market, and we have showed the efficiency of the [GLP & MEMM] pricing model. We have also studied the evaluation problems for the financial assets in the non-efficient market or the non-tradable asset (for example, project evaluation). In this case the standard arbitrage theory can not applied, and so we investigate another method and we have obtained a result that the risk-sensitive value measure is a very powerful method for these evaluation problems.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (47 results)

All 2010 2009 2008 2007 Other

All Journal Article (18 results) (of which Peer Reviewed: 12 results) Presentation (29 results)

  • [Journal Article] 設備維持管理計画の価値評価に対する制御マルコフ過程によるリアルオプションアプローチ2010

    • Author(s)
      三輪昌隆, 宮原孝夫
    • Journal Title

      リアルオプション研究 Vol.3

      Pages: 1-19

    • NAID

      130000263851

    • Related Report
      2009 Annual Research Report 2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Simplification of utility indifference net present value method2010

    • Author(s)
      T. Misawa
    • Journal Title

      OIKONOMIKA, 名古屋市立大学経済学会 Vol.46,No.3

      Pages: 123-135

    • NAID

      120006682424

    • Related Report
      2009 Final Research Report
  • [Journal Article] Value measures for project evaluation2009

    • Author(s)
      Y. Miyahara
    • Journal Title

      Discussion Papers in Economics, Nagoya City University No.496

      Pages: 1-15

    • Related Report
      2009 Final Research Report
  • [Journal Article] Option pricing based on geometric stable processes and minimal entropy martingale measures2009

    • Author(s)
      Y. Miyahara, N. Moriwaki
    • Journal Title

      Recent Advances in Financial Engineering" (Proceedings of the 2008 Daiwa International Workshop on Financial Engineering)

      Pages: 119-133

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Regression Analysis of JEPX Market Price2009

    • Author(s)
      N. Nishiyama, A. Mukai, H. Miyauchi, T. Misawa
    • Journal Title

      Proceedings of IEEE Transmission and Distribution Conference in Asia 2009 Paper#OR4-4

      Pages: 1-4

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] The minimal entropy martingale measures for exponential additive processes2009

    • Author(s)
      T. Fujiwara
    • Journal Title

      Asia-Pacific Financial Markets Vol.16

      Pages: 65-95

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Option Pricing Based on Geometric Stable Processes and Minimal Entropy Martingale Measures2009

    • Author(s)
      Y.Miyahara, N.Moriwaki
    • Journal Title

      "Recent Advances in Financial Engineering"(Proceedings of the 2008 Daiwa International Workshop on Financial Engineering)

      Pages: 119-133

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Value Measures for Project Evaluation2009

    • Author(s)
      Yoshio Miyahara
    • Journal Title

      Discussion Papers in Economics, Nagoya City University 496

      Pages: 1-15

    • Related Report
      2008 Annual Research Report
  • [Journal Article] MEMMに基づいた幾何安定過程オプション価格の実証分析2008

    • Author(s)
      森脇成彦, 宮原孝夫
    • Journal Title

      MTECジャーナル Vol.20

      Pages: 71-88

    • Related Report
      2009 Final Research Report
  • [Journal Article] 限界効用による気温オプション価格付けとリスク感度分析2008

    • Author(s)
      江本麗行, 三澤哲也
    • Journal Title

      リアルオプション研究 1巻

      Pages: 47-67

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] MEMMに基づいた幾何安定過程オプション価格の実証分析2008

    • Author(s)
      森脇 成彦, 宮原 孝夫
    • Journal Title

      MTECジャーナル 第20号

      Pages: 71-88

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 限界効用による気温オプション価格付けとリスク感度分析2008

    • Author(s)
      江本麗行, 三澤哲也
    • Journal Title

      日本リアルオプション学会論文誌 第1巻

      Pages: 47-67

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 撤退オプションを考慮したUNPV法による発電事業価値評価2008

    • Author(s)
      宮内肇, 今村総司朗, 三代純也, 三澤哲也
    • Journal Title

      電力技術、電力系統技術合同研究会資料PE-08-108, PSE-08-117

      Pages: 51-56

    • NAID

      10025664583

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Minimal f-q martingale measures for exponential Levy processes2007

    • Author(s)
      M. Jeanblanc, S. Koepppel, Y. Miyahara
    • Journal Title

      Annals of Applied Probability Vol.17

      Pages: 1615-1638

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Minimal f-q martingale measures for exponential Levy processes2007

    • Author(s)
      M. Jeanblanc, S. Koepppel, Y. Miyahara
    • Journal Title

      Annals of Applied Probability 17

      Pages: 1615-1638

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Risk assessment for generation investment based on utility indifference pricing2007

    • Author(s)
      H. Miyauchi, K. Miyahara, T. Misawa, K. Okada
    • Journal Title

      Proceedings of CIGRE Symposium Osaka Japan 2007 No.405

      Pages: 1-6

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Risk assessment for generation investment based on utility indifference pricing

    • Author(s)
      H. Miyauchi, K. Miyahara, T. Misawa, K. Okada
    • Journal Title

      Proceedings of CIGRE Symposium Osaka Japan 2007 PaperNo.405

      Pages: 1-6

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] The minimal entropy martingale measures for exponential additive processes

    • Author(s)
      Fujiwara, T.
    • Journal Title

      Asia-Pacific Financial Markets (掲載受理)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] UNPV法の簡約化によるプロビットモデルの構成2010

    • Author(s)
      平田直樹, 宮内肇, 三澤哲也
    • Organizer
      平成22年電気学会全国大会
    • Place of Presentation
      明治大学(東京)
    • Year and Date
      2010-03-17
    • Related Report
      2009 Final Research Report
  • [Presentation] リスクと価値の評価:裁定理論と価値尺度2010

    • Author(s)
      宮原孝夫
    • Organizer
      科研費研究集会「数理ファイナンスとその周辺」
    • Place of Presentation
      名古屋大学ベンチャー・ビジネス・ラボラトリー(名古屋)
    • Year and Date
      2010-01-22
    • Related Report
      2009 Final Research Report
  • [Presentation] 指数型PII-セミマルチンゲールに対する最小エントロピーマルチンゲール測度について2010

    • Author(s)
      藤原司
    • Organizer
      科研費研究集会「数理ファイナンスとその周辺」
    • Place of Presentation
      名古屋大学ベンチャー・ビジネス・ラボラトリー(名古屋)
    • Year and Date
      2010-01-22
    • Related Report
      2009 Final Research Report
  • [Presentation] リスクと価値の評価:裁定理論と価値尺度2010

    • Author(s)
      宮原孝夫
    • Organizer
      科研費研究集会「数理ファイナンスとその周辺」
    • Place of Presentation
      名古屋大学 ベンチャー・ビジネス・ラボラトリー
    • Year and Date
      2010-01-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Risk-Sensitive Value Measure Method for Projects Evaluation2009

    • Author(s)
      宮原孝夫
    • Organizer
      日本リアルオプション学会
    • Place of Presentation
      信州大学・上田キャンパス(上田)
    • Year and Date
      2009-12-13
    • Related Report
      2009 Final Research Report
  • [Presentation] Risk-Sensitive Value Measure Method for Projects Evaluation2009

    • Author(s)
      宮原孝夫
    • Organizer
      日本リアルオプション学会
    • Place of Presentation
      信州大学(上田キャンパス)
    • Year and Date
      2009-12-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] 効用無差別価格によるプロジェクト価値評価法(UNPV法)の簡約化から導かれる回帰モデルについて2009

    • Author(s)
      三澤哲也
    • Organizer
      数理ファイナンスおよびその電力分野への応用研究会
    • Place of Presentation
      熊本大学大学院自然科学研究科(熊本)
    • Year and Date
      2009-09-18
    • Related Report
      2009 Final Research Report
  • [Presentation] Stable process models in finance2009

    • Author(s)
      Y. Miyahara
    • Organizer
      Congress: Stochastic Analysis for and from Finance
    • Place of Presentation
      Science Hall on the fourth floor of East No. 1 Building in Kyoto Research Park(京都)
    • Year and Date
      2009-08-04
    • Related Report
      2009 Final Research Report
  • [Presentation] Stable process models in finance2009

    • Author(s)
      宮原孝夫
    • Organizer
      Congress : "Stochastic Analysis for and from Finance"
    • Place of Presentation
      Science Hall on the fourth floor of East No.1 Building in Kyoto Research Park
    • Year and Date
      2009-08-04
    • Related Report
      2009 Annual Research Report
  • [Presentation] Risk-Sensitive Value Measures and their Applications2009

    • Author(s)
      宮原孝夫
    • Organizer
      日本金融・証券計量・工学学会
    • Place of Presentation
      法政大学市ヶ谷キャンパス(東京)
    • Year and Date
      2009-07-29
    • Related Report
      2009 Final Research Report
  • [Presentation] Risk-Sensitive Value Measures and their Applications2009

    • Author(s)
      宮原孝夫
    • Organizer
      日本金融・証券計量・工学学会
    • Place of Presentation
      法政大学市ヶ谷キャンパス
    • Year and Date
      2009-07-29
    • Related Report
      2009 Annual Research Report
  • [Presentation] 独立増分を持つセミマルチンゲールの指数モーメントについて2009

    • Author(s)
      藤原司
    • Organizer
      科研費研究集会「確率解析の理論と応用」
    • Place of Presentation
      九州大学
    • Year and Date
      2009-07-24
    • Related Report
      2009 Final Research Report
  • [Presentation] Risk-Sensitive Value Measure2009

    • Author(s)
      宮原孝夫
    • Organizer
      大阪大学金融・保険セミナーシリーズ第22回
    • Place of Presentation
      大阪大学基礎工学研究科J棟617(大阪)
    • Year and Date
      2009-05-07
    • Related Report
      2009 Final Research Report
  • [Presentation] Risk Sensitive Value Measure2009

    • Author(s)
      宮原孝夫
    • Organizer
      大阪大学 金融・保険セミナーシリーズ 第22回
    • Place of Presentation
      大阪大学基礎工学研究科J棟617
    • Year and Date
      2009-05-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Value Measures for Project Evaluation2009

    • Author(s)
      宮原孝夫
    • Organizer
      日本オペレーションズ・リサーチ学会研究部会「ファイナンス理論の展開」
    • Place of Presentation
      首都大学東京秋葉原サテライトキャンパス(東京)
    • Year and Date
      2009-04-09
    • Related Report
      2009 Final Research Report
  • [Presentation] Value Measures for Project Evaluation2009

    • Author(s)
      宮原孝夫
    • Organizer
      日本オペレーションズ・リサーチ学会 研究部会「ファイナンス理論の展開」
    • Place of Presentation
      首都大学東京 秋葉原サテライトキャンパス
    • Year and Date
      2009-04-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] プロジェクト評価のためのリスク尺度と価値尺度2008

    • Author(s)
      宮原孝夫
    • Organizer
      日本リアルオプション学会
    • Place of Presentation
      東京
    • Year and Date
      2008-11-09
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] 撤退オプションを考慮したUNPV法による発電事業価値評価2008

    • Author(s)
      宮内肇, 今村総司朗, 三代純也, 三澤哲也
    • Organizer
      平成20年・電力技術、電力系統技術合同研究会
    • Place of Presentation
      熊本大学黒髪南地区
    • Year and Date
      2008-08-06
    • Related Report
      2009 Final Research Report
  • [Presentation] Option Pricing based on the Geometric Stable Processes and the Minimal Entropy Martingale Measures2008

    • Author(s)
      Y. Miyahara
    • Organizer
      2008 Daiwa International Workshop on Financial Engineering
    • Place of Presentation
      東京
    • Year and Date
      2008-08-04
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] 期待効用理論に基づくプロジェクトの価値評価法2008

    • Author(s)
      宮原孝夫
    • Organizer
      日本リアルオプション学会「企業金融工学フォーラム」
    • Place of Presentation
      東京
    • Year and Date
      2008-07-31
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] Calibration of Option Pricing Models Based on the Geometric Stable Processes and the Minimal Entropy Martingale Measures2008

    • Author(s)
      Y. Miyahara
    • Organizer
      5-th World Congress of Bachelier Finance Society
    • Place of Presentation
      ロンドン(イギリス)
    • Year and Date
      2008-07-16
    • Related Report
      2009 Final Research Report
  • [Presentation] Calibration of Option Pricing Models Based on the Geometric Stable Processes and the Minimal Entropy Martingale Measures2008

    • Author(s)
      Yoshio Miyahara
    • Organizer
      5-th World Congress of Bachelier Finance Society
    • Place of Presentation
      London
    • Year and Date
      2008-07-16
    • Related Report
      2008 Annual Research Report
  • [Presentation] Geometric Levy Process Models in Finance2008

    • Author(s)
      宮原孝夫
    • Organizer
      or学会研究部会「ファイナンスと意思決定」
    • Place of Presentation
      東京
    • Year and Date
      2008-06-18
    • Related Report
      2009 Final Research Report
  • [Presentation] Geometric Levy Process Models in Finance2008

    • Author(s)
      宮原 孝夫
    • Organizer
      OR学会 研究部会 「ファイナンスと意思決定」
    • Place of Presentation
      東京
    • Year and Date
      2008-06-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] Option Pricing Based on the Geometric Stable Processes and Minimal Entropy Martingale Measures2007

    • Author(s)
      Y. Miyahara
    • Organizer
      International Conference on the Quantitative Methods in Finance (QMF)
    • Place of Presentation
      シドニー工科大学(オーストラリア)
    • Year and Date
      2007-12-14
    • Related Report
      2009 Final Research Report
  • [Presentation] Option Pricing Based on the Geometric Stable Processes and tne Minimal Entropy Martingale Measures2007

    • Author(s)
      Y. Miyahara
    • Organizer
      International Conference on the Quantitative Methods in Finance(QMF)
    • Place of Presentation
      シドニー工科大学
    • Year and Date
      2007-12-14
    • Related Report
      2007 Annual Research Report
  • [Presentation] Option Pricing Based on the Geometric Stable Processes and Minimal Entropy Martingale Measures2007

    • Author(s)
      Y. Miyahara
    • Organizer
      Workshop on Advanced Mathematical Methods for Finance
    • Place of Presentation
      ウィーン工科大学(オーストリア)
    • Year and Date
      2007-09-18
    • Related Report
      2009 Final Research Report
  • [Presentation] Option Pricing Based on the Geometric Stable Processes and tne Minimal Entropy Martingale Measures2007

    • Author(s)
      Y. Miyahara
    • Organizer
      Workshop on Advandced Mathematical Methods for Finance
    • Place of Presentation
      ウィーン工科大学
    • Year and Date
      2007-09-18
    • Related Report
      2007 Annual Research Report
  • [Presentation] Regression Analysis of Electric Power Market with New Meteorological Explanatory Variable2007

    • Author(s)
      T. Ito, H. Miyauchi, T. Misawa
    • Organizer
      International Conference on Electrical Engineering 2007
    • Place of Presentation
      Hotel Nikko Hongkong, 香港
    • Year and Date
      2007-07-10
    • Related Report
      2009 Final Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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