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Efficient computational methods for quantitative financial risk management

Research Project

Project/Area Number 24510200
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

IMAI Junichi  慶應義塾大学, 理工学部, 教授 (10293078)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywordsファイナンス / シミュレーション
Outline of Final Research Achievements

The goal of this research was to develop a new series of computational methods that can help management handle financial risk more efficiently. Most existing numerical methods used in current financial institutions are based on a classical assumption that returns of financial assets, interest rates, and exchange rates are under normal distribution. However, many empirical studies indicate that historical financial data do not support the assumption and we need more accurate models. Motivated by these findings, we first investigated the effects of new models on practical risk management in terms of valuation, hedging, and risk measure computation. Then, we have proposed a couple of simulation methods that can generate samples from any class of distribution. We have also proposed an enhanced quasi-Monte Carlo method that can evaluate financial instruments as well as financial risk measures more accurately and more efficiently.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (25 results)

All 2015 2014 2013 2012 Other

All Journal Article (11 results) (of which Peer Reviewed: 11 results,  Acknowledgement Compliant: 2 results) Presentation (12 results) Book (1 results) Remarks (1 results)

  • [Journal Article] Dimension Reduction for Pricing Options under Multidimensional Le'vy Processes2015

    • Author(s)
      J. Imai
    • Journal Title

      Asia-Pacific Financial Markets

      Volume: 22(1) Issue: 1 Pages: 1-26

    • DOI

      10.1007/s10690-014-9190-y

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 米国金先物市場におけるアメリカンオプションの価格評価分析2015

    • Author(s)
      杉浦,今井
    • Journal Title

      ジャフィー・ジャーナル 金融工学と市場計量分析

      Volume: なし Pages: 234-267

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Pricing Derivative Securities Using Integrated Quasi-Monte Carlo Methods with Dimension Reduction and Discontinuity Realignment2014

    • Author(s)
      J. Imai and K. S. Tan
    • Journal Title

      SIAM Journal on Scientific Computing

      Volume: 36(5) Issue: 5 Pages: A2101-A2121

    • DOI

      10.1137/130926286

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Distributional Bounds for Portfolio Risk with Tail Dependence2014

    • Author(s)
      K. So and J. Imai
    • Journal Title

      Methodology and Computing in Applied Probability

      Volume: 未

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Comparison of low discrepancy mesh methods for pricing Bermudan options under a Levy process2014

    • Author(s)
      J.Imai
    • Journal Title

      Mathematics and Computers in Simulation

      Volume: 未 Pages: 54-71

    • DOI

      10.1016/j.matcom.2014.02.001

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Numerical inverse Levy measure method for infinite shot noise series representation2013

    • Author(s)
      J. Imai and R. Kawai
    • Journal Title

      Journal of Computational and Applied Mathematics

      Volume: 253 Pages: 264-283

    • DOI

      10.1016/j.cam.2013.04.003

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Comparison of random number generators via Fourier transform2013

    • Author(s)
      J. Imai
    • Journal Title

      Monte Carlo Methods and Applications

      Volume: 19 Issue: 3 Pages: 237-259

    • DOI

      10.1515/mcma-2013-0012

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Pricing Portfolio Credit Derivatives with Stochastic Recovery and Systematic Factor2013

    • Author(s)
      Y.Otani and J. Imai
    • Journal Title

      IAENG International Journal of Applied Mathematics

      Volume: 43 Pages: 176-184

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Numerical Inverse Le'vy Measure Method for Infinite Shot Noise Series Representation2013

    • Author(s)
      J.Imai and R. Kawai
    • Journal Title

      Journal of Computational and Applied Mathematics

      Volume: forthcoming

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Time-changed Le'vy過程の下でのアメリカンオプションの評価2013

    • Author(s)
      杉浦大輔, 今井潤一
    • Journal Title

      ジャフィー・ジャーナル:金融工学と市場計量分析 :実証ファイナンスとクオンツ運用

      Volume: なし

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] 実質次元減少法によるQMCを用いたポートフォリオのリスク指標の推定2012

    • Author(s)
      鈴木悠也,今井潤一
    • Journal Title

      Transactions of the Operations Research Society of Japan

      Volume: 55 Pages: 177-193

    • NAID

      110009578390

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] リアルオプションの導入とその発展2013

    • Author(s)
      今井潤一
    • Organizer
      応用統計計量ワークショップ
    • Place of Presentation
      東北大学
    • Related Report
      2012 Research-status Report
  • [Presentation] リアルオプション:アプローチの導入から現状の課題まで2013

    • Author(s)
      今井潤一
    • Organizer
      リアルオプション・ワークショップ
    • Place of Presentation
      同志社大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Hedging Guaranteed Annuity Options under non-Gaussian Market and Interest Rate Risks2012

    • Author(s)
      Junichi Imai, Masanori Hatashita, Yasuhiro Kanako
    • Organizer
      16th International Congress on Insurance:Mathematics and Economics
    • Place of Presentation
      University of Hong Kong
    • Related Report
      2012 Research-status Report
  • [Presentation] 実質次元減少法によるQMCを用いたポートフォリオのリスク指標の推定2012

    • Author(s)
      鈴木 悠也, 今井潤一
    • Organizer
      JAFEE2012 夏季大会
    • Place of Presentation
      成城大学
    • Related Report
      2012 Research-status Report
  • [Presentation] システマティック・ファクターを考慮した確率的な回収率の下でのポートフォリオ・クレジット・デリバティブ評価2012

    • Author(s)
      大谷 祐子, 今井潤一
    • Organizer
      JAFEE2012 夏季大会
    • Place of Presentation
      成城大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Time-changed Le'vy 過程の下でのアメリカンオプションの評価2012

    • Author(s)
      杉浦 大輔, 今井潤一
    • Organizer
      JAFEE2012 夏季大会
    • Place of Presentation
      成城大学
    • Related Report
      2012 Research-status Report
  • [Presentation] リアルオプション2012

    • Author(s)
      今井潤一
    • Organizer
      リアルオプションセミナー
    • Place of Presentation
      青山学院大学
    • Related Report
      2012 Research-status Report
  • [Presentation] A simulation-based stochastic programming model for hedging financial derivatives in a Levy market

    • Author(s)
      J. Imai
    • Organizer
      17th International Congress on Insurance:Mathematics and Economics
    • Place of Presentation
      University of Copenhagen, Denmark
    • Related Report
      2013 Research-status Report
  • [Presentation] Corporate Financing and Investment Expansion under Asymmetric Information

    • Author(s)
      J. Imai
    • Organizer
      17th Annual International Conference on Real Options
    • Place of Presentation
      The University of Tokyo, Japan
    • Related Report
      2013 Research-status Report
  • [Presentation] A Simulation-based Stochastic Programming Model for Hedging Financial Derivatives in a Levy Market

    • Author(s)
      今井潤一
    • Organizer
      JAFEE
    • Place of Presentation
      明治大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Integrated quasi-Monte Carlo methods with dimension reduction and discontinuity realignment

    • Author(s)
      J. Imai
    • Organizer
      Seminarierummet
    • Place of Presentation
      KTH, Sweden
    • Related Report
      2013 Research-status Report
  • [Presentation] A Simulation-based Stochastic Programming Model for Hedging Financial Derivatives in a Levy Market

    • Author(s)
      J. Imai
    • Organizer
      The Quantitative Methods in Finance 2013 Conference
    • Place of Presentation
      Hilton Hotel, Sydney, Australia.
    • Related Report
      2013 Research-status Report
  • [Book] コーポレートファイナンスの考え方2013

    • Author(s)
      古川浩一, 蜂谷豊彦, 中里宗敬, 今井潤一
    • Total Pages
      342
    • Publisher
      中央経済社
    • Related Report
      2012 Research-status Report
  • [Remarks] Junichi Imai Laboratory

    • URL

      http://www.ae.keio.ac.jp/lab/soc/imai/JIMAI/index2.html

    • Related Report
      2014 Annual Research Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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