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Takahashi Akihiko  高橋 明彦

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TAKAHASHI Akihiko  高橋 明彦

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Researcher Number 50313226
External Links
Affiliation (Current) 2025: 東京大学, 大学院経済学研究科(経済学部), 教授
Affiliation (based on the past Project Information) *help 2015: 東京大学, 大学院経済学研究科, 教授
2013 – 2015: 東京大学, 経済学研究科(研究院), 教授
2013: 東京大学, 経済学部, 教授
2007 – 2008: 東京大学, 大学院・経済学研究科, 教授
2005 – 2006: 東京大学, 大学院経済学研究科, 助教授 … More
2003 – 2004: The University of Tokyo, Economics, Associate Professor, 大学院・経済学研究科, 助教授
2001 – 2002: 東京大学, 大学院・数理科学研究科, 助教授
2001: 東京大学, 大学院・数理学研究科, 助教授
1999: GARADUATE SCHOOL OF MATHEMATICAL SCIENCE, THE UNIVERSITY OF TOKYO, ASSOCIATE PROFESSOR, 大学院・数理科学研究科, 助教授 Less
Review Section/Research Field
Principal Investigator
社会システム工学 / Money/ Finance
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Public finance/Monetary economics / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
漸近展開 / Portfolio / Derivatives / Finance / Financial Engineering / Numerical Method / Mathematical Finance / Malliavin Calculus / Asymptotic Expansion / 確率数値解析 … More / オプション / 最適ポートフォリオ / 金融経済学 / 数値解析 / マリアヴァン解析 / デリバティヴ / 金融経済 / ポートフォリオ / デリバティブ / ファイナンス / 金融工学 / 数値計算 / 数理ファイナンス / マリアバン解析 / デリバティブの優劣複製 / 信用リスク調整(CVA) / 為替介入 / 後ろ向き確率微分方程式 / static super-replication / カウンターパーティーリスク / マーケットインパクト / カウンターパーティリスク / コラテラル / ジャンプモデル / 確率ボラティリティモデル / 後ろ向き確率微分方程式(BSDE) / 確率微分方程式(SDE,FSDE) … More
Except Principal Investigator
数値計算 / リー環 / 数理ファイナンス / 拡散過程 / デリバティブ / マリアバン解析 / リスク尺度 / Runge-KUtta Method / Stochastic Differential Equations / Free Lie Algebra / Malliavin Calculus / Numerical Analysis / Risk measures / Derivatives / Mathematical Finance / 特性関数 / 加法過程 / ヨーロピアンオプション / アメリカンオプション / モンテカルロ法 / ルンゲ・クッタ / フィルトレーション / 連続極限 / 多期間モデル / 法則不変 / リスク / ファイナンス / 数値解析 / 生命保険 / アクチュアリー / ルンゲ・クッタ法 / 確率微分方程式 / 自由リー環 / diffusion model / mathematical finance / default risk / interest rate model / floating interest rate / 確率偏微分方程 / 確率変動 / ハザードレート / クレジットデリバティブ / 変動金利モデル / デリバディブ / 確率テイラー展開 / マリアバン・カリキュラス / 確率解析 / ハザード率 / 確率偏微分方程式 / 拡散モデル / デフォルト リスク / 金利モデル / 変動金利 / パフォーマンス評価指標 / 尖度 / 歪度 / プロスペクト・レシオ / 行動ファイナンス / 高次モーメント / 法則不変性 / ディリクレ境界条件 / 吸収壁 / 保険 / 法則普遍性 / バリューアトリスク / リスクの計量化 / 積分の変数変換公式 / 株式価値の希薄化 / フアツトテイル / 独立変数の和 / 中心極限定理 / オペレーショナルリスク / 市場リスク / 独立同分布 / 漸近展開 / 楠岡近似 / 転換社債 / CTE / 数値数学 / ファイナンス、リスクの計量化 / 確率論 Less
  • Research Projects

    (6 results)
  • Research Products

    (42 results)
  • Co-Researchers

    (8 People)
  •  Research on Derivatives Pricing and Risk Management after Financial CrisisPrincipal Investigator

    • Principal Investigator
      TAKAHASHI Akihiko
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Money/ Finance
    • Research Institution
      The University of Tokyo
  •  Development of New Performance Measurements considered of Higher Order Moments

    • Principal Investigator
      WATANABE Yasuaki
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Public finance/Monetary economics
    • Research Institution
      Kinki University
      Kochi University of Technology
  •  Research on multi-period Value Measure and Finance-Actuary

    • Principal Investigator
      KUSUOKA Shigeo
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  RESEARCH on PRICING DERIVATIVES BASED ON RISK MEASURES

    • Principal Investigator
      KUSUOKA Shigeo
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      THE UNIVERSITY OF TOKYO
  •  An Asymptotic Expansion Approach to Numerical Problems in FinancePrincipal Investigator

    • Principal Investigator
      TAKAHASHI Akihiko
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      社会システム工学
    • Research Institution
      The University of Tokyo
  •  Stochastic Model of Floating Interest rate and positive research

    • Principal Investigator
      KUSUOKA Shigeo
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      ATHE UNIVERSITY OF TOKYO

All 2016 2015 2014 2013 2004 2003 2001 Other

All Journal Article Presentation Book

  • [Book] "Pricing and Hedging of Long-Term Futures and Forward Contracts with a Three-Factor Model" in Commodities2015

    • Author(s)
      Kenichiro Shiraya, Akihiko Takahashi
    • Publisher
      Chapman and Hall/CRC
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Book] "Asymptotic Expansion Approach in Finance" in Large Deviations and Asymptotic Methods in Finance2015

    • Author(s)
      Akihiko Takahashi
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Book] Toyo-Keizai (in Japanse)2003

    • Author(s)
      Kunitomo, N., Takahashi, A.
    • Publisher
      "Foundation of Mathematical Finance-Application of Malliavin Calculus and Asymptotic Expansion Method-,"
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Book] 数理ファイナンスの基礎・マリアバン解析と漸近展開の応用2003

    • Author(s)
      高橋明彦, 国友直人
    • Total Pages
      273
    • Publisher
      東洋経済新報社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] A New Improvement Scheme for Approximation Methods of Probability Density Functions2016

    • Author(s)
      Akihiko Takahashi, Yukihiro Tsuzuki
    • Journal Title

      Journal of Computational Finance

      Volume: 19-4 Pages: 73-94

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] An Approximation Formula for Basket Option Prices under Local Stochastic Volatility with Jumps: an Application to Commodity Markets2016

    • Author(s)
      Kenichiro Shiraya, Akihiko Takahashi
    • Journal Title

      Journal of Computational and Applied Mathematics

      Volume: 292-15 Pages: 230-256

    • DOI

      10.1016/j.cam.2015.06.027

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] A weak approximation with asymptotic expansion and multidimensional Malliavin weights2016

    • Author(s)
      Akihiko Takahashi and Toshihiro Yamada
    • Journal Title

      The Annals of Applied Probability

      Volume: 26 Issue: 2 Pages: 818-856

    • DOI

      10.1214/15-aap1105

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-24243031, KAKENHI-PROJECT-25380389
  • [Journal Article] A General Framework for the Benchmark pricing in a Fully Collateralized Market2016

    • Author(s)
      Masaaki Fujii, Akihiko Takahashi
    • Journal Title

      International Journal of Financial Engineering

      Volume: ---

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] An Asymptotic Expansion for Local-Stochastic Volatility with Jump Models2016

    • Author(s)
      Kenichiro Shiraya, Akihiko Takahashi
    • Journal Title

      Stochastics: An International Journal of Probability and Stochastic Processes

      Volume: Published online Issue: 1 Pages: 1-24

    • DOI

      10.1080/17442508.2015.1136630

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] Price Impacts of Imperfect Collateralization2015

    • Author(s)
      Kenichiro Shiraya, Akihiko Takahashi
    • Journal Title

      International Journal of Financial Engineering

      Volume: ---

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] Perturbative Expansion Technique for Non-linear FBSDEs with Interacting Particle Method2015

    • Author(s)
      Masaaki Fujii, Akihiko Takahashi
    • Journal Title

      Asia-Pacific Financial Markets

      Volume: - Issue: 3 Pages: 283-304

    • DOI

      10.1007/s10690-015-9201-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] Optimal Hedging for Fund & Insurance Managers with Partially Observable Investment Flows2015

    • Author(s)
      Masaaki Fujii, Akihiko Takahashi
    • Journal Title

      Quantitative Finance

      Volume: 15-3 Issue: 3 Pages: 535-551

    • DOI

      10.1080/14697688.2014.950320

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] An asymptotic expansion of forward-backward SDEs with a perturbed driver2015

    • Author(s)
      Akihiko Takahashi and Toshihiro Yamada
    • Journal Title

      Journal of Financial Engineering

      Volume: 2 Issue: 02 Pages: 1-29

    • DOI

      10.1142/s2424786315500206

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24243031, KAKENHI-PROJECT-25380389
  • [Journal Article] On Error Estimates for Asymptotic Expansions with Malliavin Weights: Application to Stochastic Volatility Model2014

    • Author(s)
      Akihiko Takahashi, Toshihiro Yamada
    • Journal Title

      Mathematics of Operations Research

      Volume: 40 Issue: 3 Pages: 513-541

    • DOI

      10.1287/moor.2014.0683

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] Making Mean-Variance Hedging Implementable in a Partially Observable Market2014

    • Author(s)
      Masaaki Fujii, Akihiko Takahashi
    • Journal Title

      Quantitative Finance

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] Pricing Multi-Asset Cross Currency Options2014

    • Author(s)
      Kenichiro Shiraya, Akihiko Takahashi
    • Journal Title

      Journal of Futures Markets

      Volume: Volume 34, Issue 1 Issue: 1 Pages: 1-19

    • DOI

      10.1002/fut.21590

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] Making mean-variance hedging implementable in a partially observable market2014

    • Author(s)
      Masaaki Fujii, Akihiko Takahashi
    • Journal Title

      Quantitative Finance

      Volume: 14 Issue: 10 Pages: 1709-1724

    • DOI

      10.1080/14697688.2013.867453

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] A Semigroup Expansion for Pricing Barrier Options2014

    • Author(s)
      Takashi Kato, Akihiko Takahashi, Toshihiro Yamada
    • Journal Title

      International Journal of Stochastic Analysis

      Volume: 2014 Pages: 1-15

    • DOI

      10.1155/2014/268086

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] An FBSDE Approach to American Option Pricing with an Interacting Particle Method2014

    • Author(s)
      Masaaki Fujii, Seisho Sato, Akihiko Takahashi
    • Journal Title

      Asia-Pacific Financial Markets

      Volume: - Issue: 3 Pages: 239-260

    • DOI

      10.1007/s10690-014-9195-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] Derivative Pricing under Asymmetric and Imperfect Collateralization, and CVA2013

    • Author(s)
      Masaaki Fujii, Akihiko Takahashi
    • Journal Title

      Quantitative Finance

      Volume: Vol. 13, No.5 Issue: 5 Pages: 749-768

    • DOI

      10.1080/14697688.2012.738931

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] Note on an Extension of an Asymptotic Expansion Scheme2013

    • Author(s)
      Akihiko Takahashi, Masashi Toda
    • Journal Title

      International Journal of Theoretical and Applied Finance

      Volume: Volume.16, issue.05 Issue: 05 Pages: 1-23

    • DOI

      10.1142/s0219024913500313

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] An Asymptotic Expansion Formula for Up-and-Out Barrier Option Price under Stochastic Volatility Model2013

    • Author(s)
      Takashi Kato, Akihiko Takahashi, Toshihiro Yamada
    • Journal Title

      JSIAM Letters

      Volume: Vol. 5 Pages: 17-20

    • NAID

      130003371114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] Generating a Target Payoff Distribution with the Cheapest Dynamic Portfolio: an Application to Hedge Fund Replication2013

    • Author(s)
      Akihiko Takahashi, Kyo Yamamoto
    • Journal Title

      Quantitative Finance

      Volume: Volume.13, Issue.10 Issue: 10 Pages: 1559-1573

    • DOI

      10.1080/14697688.2013.779014

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Journal Article] "Monte Carlo Simulation with Asymptotic Method in HJM Framework,"2004

    • Author(s)
      Takahashi, A., Matsushima, S.
    • Journal Title

      forthcoming in Annual Research Report, Financial Services Agency

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] An Asymptotic Expansion Scheme for Optimal Investment Problems2004

    • Author(s)
      Takahashi Akihiko
    • Journal Title

      Statist.Infer.Stochast.Process 7

      Pages: 153-188

    • Data Source
      KAKENHI-PROJECT-13440029
  • [Journal Article] "An Asymptotic Expansion Scheme for Optimal Investment Problems"2003

    • Author(s)
      Takahashi, A., Yoshida, N.
    • Journal Title

      The University of Tokyo, (http://www.e.u-tokyo.ac.jp/cirje/research/dp/2003) forthcoming in Statistical Inference for Stochastic Processes. CIRJE-F-248

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] On Validity of the Asymptotic Expansion Approach in Contingent Claim Analysis2003

    • Author(s)
      Akihiko Takahashi, Naoto Kunitomo
    • Journal Title

      Annals of Applied Probability 13

      Pages: 914-952

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] "Applications of the Asymptotic Expansion Approach based on Malliavin-Watanabe Calculus in Financial Problems"2003

    • Author(s)
      Kunitomo, N., Takahashi, A.
    • Journal Title

      The University of Tokyo, (http://www.e.u-tokyo.ac.jp/cirje/research/dp/2003) forthcoming in Stochastic Processes and Applications to Mathematical Finance, World Scientific. CIRJE-F-245

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] "On Validity of the Asymptotic Expansion Approach in Contingent Claim Analysis"2003

    • Author(s)
      Kunitomo, N., Takahashi, A.
    • Journal Title

      Annals of Applied Probability Vol.13, No.3

      Pages: 914-952

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] 漸近展開を用いたアメリカン・オプションの評価法2003

    • Author(s)
      高橋明彦, 斉藤大河
    • Journal Title

      金融研究 22

      Pages: 35-87

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] "The Asymptotic Expansion Approach with Monte Carlo Simulation with Asymptotic Method"2003

    • Author(s)
      Takahashi, A., Yoshida, N.
    • Journal Title

      Preprint, The University of Tokyo, (http://www.e.u-tokyo.ac.jp/cirje/research/dp/2003) CIRJE-F-249

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] "Dynamic Optimality of Yield Curve Strategies"2001

    • Author(s)
      Kobayashi, T., Takahashi, A., Tokioka, N.
    • Journal Title

      The University of Tokyo, (http://www.e.u-tokyo.ac.jp/cirje/research/dp/2001) CIRJE-F-141

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] Applications of the Asymptotic Expansion Approach based on Malliavin-Watanabe Calculus in Financial Problems

    • Author(s)
      Akihiko Takahashi, Naoto Kunitomo
    • Journal Title

      Stochastic Processes and Applications to Mathematical Finance (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] An Asymptotic Expansion Scheme for Optimal Investment Problems

    • Author(s)
      Akihiko Takahashi, Nakahiro Yoshida
    • Journal Title

      Statistical Inference for Stochastic Processes (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] "An Asymptotic Expansion Approach to American Options,"

    • Author(s)
      Takahashi, A., Saito, T.
    • Journal Title

      Monetary and Economic Studies, Bank of Japan (in Japanese). Vol.22

      Pages: 35-87

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Journal Article] 漸近展開を用いたHJMモデルにおけるオプション・プライシング

    • Author(s)
      高橋明彦, 松島周一郎
    • Journal Title

      金融庁年報 (印刷中)

    • NAID

      40007453849

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13680509
  • [Presentation] Pricing basket options under local stochastic volatility with jumps2015

    • Author(s)
      Kenichiro Shiraya ( joint work with Akihiko Takahashi)
    • Organizer
      Second conference on Stochastics of Environmental and Financial Economics
    • Place of Presentation
      The Norwegian Academy of Sciences and Letters, Oslo, Norway
    • Year and Date
      2015-04-21
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Presentation] An Asymptotic and Perturbative Expansion Approach in Finance2014

    • Author(s)
      Akihiko Takahashi
    • Organizer
      Global Derivatives Trading & Risk Management 2014
    • Place of Presentation
      Amsterdam, Holland
    • Year and Date
      2014-05-13
    • Invited
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Presentation] Asymptotic Methods for Computational Finance2013

    • Author(s)
      山田俊皓, 高橋 明彦,
    • Organizer
      金融工学・数理計量ファイナンスの諸問題 2013
    • Place of Presentation
      大阪大学 中之島センター 10階 佐治敬三メモリアルホール
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Presentation] Asymptotic Expansion for FBSDEs2013

    • Author(s)
      山田俊皓, 高橋 明彦,
    • Organizer
      NUS-UTokyo Workshop on Quantitative Finance
    • Place of Presentation
      The Centre for Quantitative Finance, National University of Singapore
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Presentation] Asymptotic Expansion for FBSDEs and CVA2013

    • Author(s)
      山田俊皓, 高橋 明彦,
    • Organizer
      第39回 2013年度夏季JAFEE大会
    • Place of Presentation
      明治大学駿河台キャンパスアカデミーコモン2F大会議室
    • Data Source
      KAKENHI-PROJECT-25380389
  • [Presentation] Forward-Backward SDEの漸近展開とCVAの計算について2013

    • Author(s)
      山田俊皓, 高橋 明彦,
    • Organizer
      日本応用数理学会2013年度年会
    • Place of Presentation
      アクロス福岡 西(601会議室)
    • Data Source
      KAKENHI-PROJECT-25380389
  • 1.  YOSHIDA Nakahiro (90210707)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 2.  KUSUOKA Shigeo (00114463)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  WATANABE Yasuaki (70367811)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  SEKINE Jun (50314399)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  上木 直昌 (80211069)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  長田 博文 (20177207)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  高橋 一
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 2 results
  • 8.  山田 俊皓
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 2 results

URL: 

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