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Dynamic hedging of multi-objective basket options and its application to portfolio diversification and management

Research Project

Project/Area Number 22510138
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionUniversity of Tsukuba

Principal Investigator

YAMADA Yuji  筑波大学, ビジネスサイエンス系, 准教授 (50344859)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsファイナンス / バスケットオプション / 最適ヘッジ / 加法モデル / Mertonモデル / シミュレーション / リスク管理 / 動的ヘッジ / ポートフォリオ最適化 / 派生証券 / 事業リスク管理
Research Abstract

A basket option is a class of derivatives whose underlying is a weighted sum of different assets or portfolio. In this research, we provide an efficient hedging technique for basket options, where we have shown the following items.
(1) We have developed an algorithm to optimally approximate the payoff of basket options using individual options and clarified the theoretical properties.
(2) We have demonstrated the efficiency of our proposed optimal hedging technique and compared the optimal hedging strategy with a super-hedging strategy using computer simulations
(3) We have applied our methodology for a basket type Merton's model, where a company with default risk consists of multiple assets.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (68 results)

All 2013 2012 2011 2010 Other

All Journal Article (19 results) (of which Peer Reviewed: 17 results) Presentation (40 results) Book (8 results) Patent(Industrial Property Rights) (1 results)

  • [Journal Article] Application of the Improved Fast Gauss Transform to Option Pricing under Jump-diffusion Processes2013

    • Author(s)
      T. Sakuma and Y. Yamada
    • Journal Title

      Journal of Computational Finance

      Volume: (in press)

    • NAID

      120007129163

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 市場ユニバースにおける新たなリスク指標2013

    • Author(s)
      山田雄二, 吉野貴晶, 斉藤哲朗
    • Journal Title

      JAFEEジャーナル

      Volume: 第12巻 Pages: 168-195

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Application of the Improved Fast Gauss Transform to Option Pricing under Jump-diffusion Processes2013

    • Author(s)
      Takayuki Sakuma and Yuji Yamada
    • Journal Title

      Journal of Computational Finance

      Volume: 未定

    • NAID

      120007129163

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Properties of Optimal Smooth Functions in Additive Models for Hedging Multivariate Derivatives2012

    • Author(s)
      Y. Yamada
    • Journal Title

      Asia-Pacific Financial Markets

      Volume: vol. 19, no. 2 Pages: 149-179

    • NAID

      120007129185

    • Related Report
      2012 Annual Research Report 2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 共和分性に基づく最適ペアトレード2012

    • Author(s)
      山田雄二,J.A. Primbs
    • Journal Title

      ジャフィー・ジャーナル

      Volume: 第11巻 Pages: 125-152

    • NAID

      120007129153

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Trading with Cointegrated Pairs of Stocks2012

    • Author(s)
      Y. Yamada and J.A. Primbs
    • Journal Title

      RECENT ADVANCES IN FINANCIAL ENGINEERING, World Scientific

      Volume: vol. 4 Pages: 183-201

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Model Predictive Control for Optimal Portfolios with Cointegrated Pairs of Stocks2012

    • Author(s)
      Y. Yamada and J.A. Primbs
    • Journal Title

      Proceedings of the 2012 IEEE Conference on Decision and Control

      Volume: vol. 51 Pages: 5705-5710

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Hedging of Basket Options Using Smooth Payoff Functions: Comparison with Super-Hedging Strategy2012

    • Author(s)
      Y. Yamada
    • Journal Title

      Proceedings of the 2012 American Control Conference

      Volume: vol. 30 Pages: 3699-3704

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Model Predictive Control for Optimal Portfolios with Cointegrated Pairs of Stocks2012

    • Author(s)
      Yuji Yamada and J.A. Primbs
    • Journal Title

      Proceedings of the 2012 IEEE Conference on Decision and Control

      Volume: 51 Pages: 5705-5710

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Hedging of Basket Options Using Smooth Payoff Functions: Comparison with Super-Hedging Strategy2012

    • Author(s)
      Yuji Yamada
    • Journal Title

      Proceedings of the 2012 American Control Conference

      Volume: 30 Pages: 3699-3704

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 共和分性に基づく最適ペアトレード2012

    • Author(s)
      山田雄二, James A. Primbs
    • Journal Title

      ジャフィー・ジャーナル

      Volume: 11 Pages: 125-152

    • NAID

      120007129153

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Trading with Cointegrated Pairs of Stocks2012

    • Author(s)
      Yuji Yamada, James A.Primbs
    • Journal Title

      RECENT ADVANCES IN FINANCIAL ENGINEERING 2011, World Scientific

      Volume: 4(採択済)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Hedging with Additive Models2011

    • Author(s)
      Y. Yamada
    • Journal Title

      RECENT ADVANCES IN FINANCIAL ENGINEERING 2010, world Scientific

      Volume: Vo l. 3 Pages: 225-245

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Hedging for Multivariate Derivatives Based on Additive Models2011

    • Author(s)
      Y. Yamada
    • Journal Title

      Proceedings of the 2011 American Control Conference

      Volume: vol.29 Pages: 3856-3861

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Hedging with Additive Models2011

    • Author(s)
      Yuji Yamada
    • Journal Title

      RECENT ADVANCES IN FINANCIAL ENGINEERING 2010, World Scientific

      Volume: 3 Pages: 225-245

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Hedging for Multivariate Derivatives Based on Additive Models2011

    • Author(s)
      Yuji Yamada
    • Journal Title

      Proceedings of the 2011 American Control Conference

      Volume: 29 Pages: 3856-3861

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Hedging with Additive Models2011

    • Author(s)
      Yuji Yamada
    • Journal Title

      RECENT ADVANCES IN FINANCIAL ENGINEERING, published by World Scientific

      Volume: 3

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] エネルギー価格変動リスクとデリバティブ2010

    • Author(s)
      山田雄二
    • Journal Title

      エネルギーレビュー

      Volume: 第357巻

    • Related Report
      2012 Final Research Report
  • [Journal Article] エネルギー価格変動リスクとデリバティブ2010

    • Author(s)
      山田雄二
    • Journal Title

      エネルギーレビュー ERC出版

      Volume: 357 Pages: 19-22

    • Related Report
      2010 Annual Research Report
  • [Presentation] 非上場化企業の特性に関する研究-親子上場の解消に伴う完全子会社化の分析-2013

    • Author(s)
      松田千恵子, 山田雄二
    • Organizer
      日本ファイナンス学会 第21回大会
    • Place of Presentation
      武蔵大学江古田キャンパス(練馬区)
    • Year and Date
      2013-06-02
    • Related Report
      2012 Final Research Report
  • [Presentation] Optimal Approximation of Basket Options: Application and Comparison with Super-Hedging Strategy2013

    • Author(s)
      Y. Yamada
    • Organizer
      第38回 2012年度冬季JAFEE 大会
    • Place of Presentation
      筑波大学東京キャンパス文京校舎(文京区)
    • Year and Date
      2013-01-25
    • Related Report
      2012 Final Research Report
  • [Presentation] Model Predictive Control for Optimal Portfolios with Cointegrated Pairs of Stocks2012

    • Author(s)
      Y. Yamada and J.A. Primbs
    • Organizer
      51st IEEE Conference on Decision and Control
    • Place of Presentation
      Grand Wailea(Hawaii, United States)
    • Year and Date
      2012-12-12
    • Related Report
      2012 Final Research Report
  • [Presentation] A Model Predictive Control Approach for Portfolio Optimization with Cointegrated Pairs of Stocks2012

    • Author(s)
      Y. Yamada and J.A. Primbs
    • Organizer
      第37回 2012年度JAFEE夏季大会
    • Place of Presentation
      成城大学(世田谷区)
    • Year and Date
      2012-08-03
    • Related Report
      2012 Final Research Report
  • [Presentation] Optimal Hedging of Basket Options Using Smooth Payoff Functions: Comparison with Super-Hedging Strategy2012

    • Author(s)
      Y. Yamada
    • Organizer
      The 2012 American Control Conference
    • Place of Presentation
      Fairmont Queen Elizabeth(Montreal,Canada)
    • Year and Date
      2012-06-28
    • Related Report
      2012 Final Research Report
  • [Presentation] Idiosyncratic共変動パズル:市場ユニバースにおける歪みや尖りとリスクプレミアムの関係分析2012

    • Author(s)
      山田 雄二,吉野 貴晶,斉藤 哲朗
    • Organizer
      2011年度JAFEE冬季大会
    • Place of Presentation
      筑波大学東京キャンパス文京校舎(文京区)
    • Year and Date
      2012-03-12
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] Construction of Optimal Portfolio with Cointegrated Stocks2012

    • Author(s)
      Y. Yamada
    • Organizer
      Symposium on Developments in Control Theory towards Glocal Control
    • Place of Presentation
      東京大学本郷キャンパス(文京区)
    • Year and Date
      2012-01-07
    • Related Report
      2012 Final Research Report
  • [Presentation] Construction of Optimal Portfolio with Cointegrated Stocks2012

    • Author(s)
      Yuji Yamada
    • Organizer
      Symposium on Developments in Control Theory towards Glocal Control
    • Place of Presentation
      東京大学本郷キャンパス(文京区)(招待講演)
    • Year and Date
      2012-01-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] I-共変動:市場ユニバースにおける新たなリスク指標2011

    • Author(s)
      山田雄二
    • Organizer
      横浜国立大学・南山大学共同ファイナンス・ワークショップ
    • Place of Presentation
      横浜国立大学みなとみらいキャンパス(横浜市)
    • Year and Date
      2011-12-03
    • Related Report
      2012 Final Research Report
  • [Presentation] I-共変動:市場ユニバースにおける新たなリスク指標2011

    • Author(s)
      山田雄二
    • Organizer
      横浜国立大学・南山大学共同ファイナンス・ワークショップ
    • Place of Presentation
      横浜国立大学みなとみらいキャンパス(横浜市)(招待講演)
    • Year and Date
      2011-12-03
    • Related Report
      2011 Annual Research Report
  • [Presentation] Idiosyncratic 共変動の資産収益率への影響分析2011

    • Author(s)
      山田 雄二,吉野 貴晶,斉藤 哲朗
    • Organizer
      2011 年度JAFEE 夏季大会
    • Place of Presentation
      慶應義塾大学・三田キャンパス(港区)
    • Year and Date
      2011-10-14
    • Related Report
      2012 Final Research Report
  • [Presentation] Idiosyncratic共変動の資産収益率への影響分析2011

    • Author(s)
      山田雄二, 吉野貴晶, 斉藤哲朗
    • Organizer
      2011年度JAFEE夏季大会
    • Place of Presentation
      慶應義塾大学・三田キャンパス(港区)
    • Year and Date
      2011-10-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] Optimal Trading with Cointegrated Pairs of Stocks2011

    • Author(s)
      Y. Yamada
    • Organizer
      International Workshop on Finance 2011
    • Place of Presentation
      同志社大学室町キャンバス寒梅館(京都市)
    • Year and Date
      2011-08-04
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] Optimal Hedging for Multivariate Derivatives Based on Additive Models2011

    • Author(s)
      Y. Yamada
    • Organizer
      2011 American Control Conference
    • Place of Presentation
      San Francisco Hilton on O'Farrell Street(USA)
    • Year and Date
      2011-07-01
    • Related Report
      2012 Final Research Report
  • [Presentation] Optimal Hedging for Multivariate Derivatives Based on Additive Models2011

    • Author(s)
      Yuji Yamada
    • Organizer
      2011 American Control Conference
    • Place of Presentation
      San Francisco Hilton on O'Farrell Street (USA)(招待講演)
    • Year and Date
      2011-07-01
    • Related Report
      2011 Annual Research Report
  • [Presentation] Hedging of Multivariate Options with Additive Models2011

    • Author(s)
      山田雄二
    • Organizer
      日本ファイナンス学会第19回大会
    • Place of Presentation
      早稲田大学早稲田キャンパス(新宿区)
    • Year and Date
      2011-05-15
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] J-REIT における保有不動産の用途特化・多様化とバリュエーション2011

    • Author(s)
      中島篤, 山田雄二
    • Organizer
      日本ファイナンス学会第19回大会
    • Place of Presentation
      早稲田大学早稲田キャンパス(新宿区)
    • Year and Date
      2011-05-14
    • Related Report
      2012 Final Research Report
  • [Presentation] J-REITにおける保有不動産の用途特化・多様化とバリュエーション2011

    • Author(s)
      中島篤, 山田雄二
    • Organizer
      日本ファイナンス学会第19回大会
    • Place of Presentation
      早稲田大学早稲田キャンパス(新宿区)
    • Year and Date
      2011-05-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] Hedging Multivariate IlliquidAsset Derivatives Based on the Additive Models2010

    • Author(s)
      Y. Yamada
    • Organizer
      Quantitative Methods in Finance 2010 Conference
    • Place of Presentation
      University of Technology, Sydney, Australia
    • Year and Date
      2010-12-17
    • Related Report
      2012 Final Research Report
  • [Presentation] Hedging Multivariate Illiquid Asset Derivatives Based on the Additive Models2010

    • Author(s)
      Yuji Yamada
    • Organizer
      Quantitative Methods in Finance 2010 Conference
    • Place of Presentation
      Uruversity of Technology, Sydney, Australia
    • Year and Date
      2010-12-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] Optimal Hedging of Basket Options Using Separate Options on Individual Assets2010

    • Author(s)
      山田雄二
    • Organizer
      2010 年JAFEE冬季大会
    • Place of Presentation
      中央大学後楽園キャンパス
    • Year and Date
      2010-12-05
    • Related Report
      2012 Final Research Report
  • [Presentation] Optimal Hedging of Basket Options Using Separate Options on Individual Assets2010

    • Author(s)
      山田雄二
    • Organizer
      2010年JAFEE冬季大会
    • Place of Presentation
      中央大学後楽園キャンパス
    • Year and Date
      2010-12-05
    • Related Report
      2010 Annual Research Report
  • [Presentation] ハイブリッド・ファンダメンタル・モデルによる電力価格の予測2010

    • Author(s)
      榎本 重朗,山田 雄二,牧本 直樹,久保 博司,谷川 亮一
    • Organizer
      第21回電気学会電力エネルギー部門大会
    • Place of Presentation
      九州大学 伊都キャンパス
    • Year and Date
      2010-09-03
    • Related Report
      2012 Final Research Report
  • [Presentation] ハイブリッド・ファンダメンタル・モデルによる電力価格の予測(その1)2010

    • Author(s)
      榎本重朗, 山田雄二, 牧本直樹, 久保博司, 谷川亮一
    • Organizer
      第21回電気学会電力エネルギー部門大会
    • Place of Presentation
      九州大学伊都キャンパス
    • Year and Date
      2010-09-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] ハイブリッド・ファンダメンタル・モデルによる電力価格の予測(その2)2010

    • Author(s)
      久保博司, 谷川亮一, 榎本重朗, 山田雄二, 牧本直樹
    • Organizer
      第21回電気学会電力エネルギー部門大会
    • Place of Presentation
      九州大学伊都キャンパス
    • Year and Date
      2010-09-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] ハイブリッド・ファンダメンタル・モデルによる電力価格の予測(その3)2010

    • Author(s)
      山田雄二, 牧本直樹, 榎本重朗, 久保博司, 谷川亮一
    • Organizer
      第21回電気学会電力エネルギー部門大会
    • Place of Presentation
      九州大学伊都キャンパス
    • Year and Date
      2010-09-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] 新エネルギー発電とデリバティブ2010

    • Author(s)
      山田 雄二
    • Organizer
      社団法人日本鉄鋼協会 計測・制御・システム工学部会 第5回フォーラム「エネルギー・環境問題とシステム技術の最新動向」
    • Place of Presentation
      神戸製鋼所 大阪支社
    • Year and Date
      2010-08-18
    • Related Report
      2012 Final Research Report
  • [Presentation] 新エネルギー発電とデリバティブ2010

    • Author(s)
      山田雄二
    • Organizer
      社団法人日本鉄鋼協会 計測・制御・システム工学部会第5回フォーラム「エネルギー・環境問題とシステム技術の最新動向」
    • Place of Presentation
      (株)神戸製鋼所大阪支社
    • Year and Date
      2010-08-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] Robust Hedging of Multivariate Derivatives Using Additive Models2010

    • Author(s)
      Y. Yamada
    • Organizer
      KIER-TMU International Workshop on Financial Engineering 2010
    • Place of Presentation
      秋葉原ダイビル
    • Year and Date
      2010-08-02
    • Related Report
      2012 Final Research Report 2010 Annual Research Report
  • [Presentation] J-REIT の価格形成における要因分析2010

    • Author(s)
      中島 篤,山田 雄二
    • Organizer
      2010 年JAFEE 夏季大会
    • Place of Presentation
      成城大学 8号館
    • Year and Date
      2010-07-31
    • Related Report
      2012 Final Research Report
  • [Presentation] J-REITの価格形成における要因分析2010

    • Author(s)
      中島篤, 山田雄二
    • Organizer
      2010年JAFEE夏季大会
    • Place of Presentation
      成城大学8号館
    • Year and Date
      2010-07-31
    • Related Report
      2010 Annual Research Report
  • [Presentation] Pricing Knock-Out Options Using Homotopy Analysis Method Under Levy Processes2010

    • Author(s)
      佐久間 貴之,山田 雄二
    • Organizer
      2010年JAFEE夏季大会
    • Place of Presentation
      成城大学 8号館
    • Year and Date
      2010-07-30
    • Related Report
      2012 Final Research Report
  • [Presentation] Pricing Knock-Out Options Using Homotopy Analysis Method UnderLevy Processes2010

    • Author(s)
      佐久間貴之, 山田雄二
    • Organizer
      2010年JAFEE夏季大会
    • Place of Presentation
      成城大学8号館
    • Year and Date
      2010-07-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] Portfolio optimization using spreads of pairs of stocks2010

    • Author(s)
      山田 雄二,J.A. Primbs
    • Organizer
      第27回 応用経済時系列研究会・研究報告会
    • Place of Presentation
      明治学院大学 白金キャンパス
    • Year and Date
      2010-06-19
    • Related Report
      2012 Final Research Report
  • [Presentation] Portfolio optimization using spreads of pairs of stocks2010

    • Author(s)
      山田雄二, James A.Primbs
    • Organizer
      第27回応用経済時系列研究会・研究報告会
    • Place of Presentation
      明治学院大学白金キャンパス
    • Year and Date
      2010-06-19
    • Related Report
      2010 Annual Research Report
  • [Presentation] Optimal Approximation of Basket Options: Application and Comparison with Super-Hedging Strategy

    • Author(s)
      Yuji Yamada
    • Organizer
      第38回 2012年度冬季JAFEE大会
    • Place of Presentation
      筑波大学東京キャンパス文京校舎(文京区)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Model Predictive Control for Optimal Portfolios with Cointegrated Pairs of Stocks

    • Author(s)
      Yuji Yamada and J.A. Primbs
    • Organizer
      51st IEEE Conference on Decision and Control
    • Place of Presentation
      Grand Wailea(Hawaii, United States)
    • Related Report
      2012 Annual Research Report
  • [Presentation] A Model Predictive Control Approach for Portfolio Optimization with Cointegrated Pairs of Stocks

    • Author(s)
      Yuji Yamada and J.A. Primbs
    • Organizer
      第37回 2012年度JAFEE夏季大会
    • Place of Presentation
      成城大学(世田谷区)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Optimal Hedging of Basket Options Using Smooth Payoff Functions: Comparison with Super-Hedging Strategy

    • Author(s)
      Yuji Yamada
    • Organizer
      The 2012 American Control Conference
    • Place of Presentation
      Fairmont Queen Elizabeth(Montreal,Canada)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 非上場化企業の特性に関する研究-親子上場の解消に伴う完全子会社化の分析-

    • Author(s)
      松田千恵子, 山田雄二
    • Organizer
      日本ファイナンス学会 第21回大会
    • Place of Presentation
      武蔵大学江古田キャンパス(練馬区)
    • Related Report
      2012 Annual Research Report
  • [Book] ジャフィージャーナル「実証ファイナンスとクオンツ運用」2013

    • Author(s)
      津田博史,中妻照雄, 山田雄二編集
    • Total Pages
      240
    • Publisher
      朝倉書店
    • Related Report
      2012 Final Research Report
  • [Book] ジャフィージャーナル「実証ファイナンスとクオンツ運用」2013

    • Author(s)
      津田 博史,中妻 照雄, 山田 雄二 編集
    • Total Pages
      240
    • Publisher
      朝倉書店
    • Related Report
      2012 Annual Research Report
  • [Book] ジャフィージャーナル「市場構造分析と新たな資産運用」2012

    • Author(s)
      津田博史,中妻照雄, 山田雄二編集
    • Total Pages
      212
    • Publisher
      朝倉書店
    • Related Report
      2012 Final Research Report
  • [Book] "エネルギー事業リスクとデリバティブ," 経済時系列分析ハンドブック2012

    • Author(s)
      山田雄二,刈屋・前川・矢島・福地・川崎編
    • Publisher
      朝倉書店
    • Related Report
      2012 Final Research Report
  • [Book] バリュエーション2011

    • Author(s)
      津田博史,中妻照雄,山田雄二編
    • Total Pages
      230
    • Publisher
      朝倉書店
    • Related Report
      2012 Final Research Report
  • [Book] バリュエーション2011

    • Author(s)
      津田博史,中 妻照雄, 山田雄二 編
    • Total Pages
      230
    • Publisher
      朝倉書店
    • Related Report
      2011 Annual Research Report
  • [Book] 定量的信用リスク評価とその応用2010

    • Author(s)
      津田博史,中妻照雄,山田雄二編
    • Total Pages
      227
    • Publisher
      朝倉書店
    • Related Report
      2012 Final Research Report
  • [Book] 定量的信用リスク評価とその応用2010

    • Author(s)
      津田博史, 中妻照雄, 山田雄二編
    • Total Pages
      227
    • Publisher
      朝倉書店
    • Related Report
      2010 Annual Research Report
  • [Patent(Industrial Property Rights)] 動作方法,予測誤差補填装置,気象発電計画装置,およびプログラム2012

    • Inventor(s)
      山田雄二・福田寿・谷川亮一・早崎宣之
    • Industrial Property Rights Holder
      筑波大学,伊藤忠テクノソリューションズ株式会社
    • Filing Date
      2012-09-07
    • Related Report
      2012 Final Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

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