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The comparison with multi-factors interest rate model

Research Project

Project/Area Number 25780213
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Money/ Finance
Research InstitutionRitsumeikan University

Principal Investigator

LIU NIEN-LIN  立命館大学, BKC社系研究機構, プロジェクト研究員 (90610923)

Co-Investigator(Renkei-kenkyūsha) AKAHORI Jiro  立命館大学, 理工学部, 教授 (50309100)
Research Collaborator WANG Tai-Ho  
MANCINO Maria Elvira  
MAKHLOUF Azmi  
AMABA Takafumi  
Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords高頻度データの分析 / 統計的方法 / 金利の期間構造 / フーリエ法 / 国際情報交換
Outline of Final Research Achievements

The Malliavin-Mancino method provides a way to estimate the differentiation of quadratic variation of a discretely monitored semimartingale. However, the estimator is not positive definite nor symmetric. This causes a problem in estimating eigenvalues of the matrix, which are a priori known to be positive real. We proposed two alternative estimators that are positive definite and the computational cost also is saved a lot. For developing, I work on the project "Discrete Clark-Ocone formula for pure-jump Levy processes " with T. Amaba and A. Makhlouf, the paper is revised. Also, work with T.H. Wang on the topic "Asian option pricing ", the paper is going to submit.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (11 results)

All 2017 2016 2014 Other

All Int'l Joint Research (3 results) Presentation (8 results) (of which Invited: 3 results)

  • [Int'l Joint Research] University of Florence(イタリア)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Baruch College(米国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Tunis El Manar University(チュニジア)

    • Related Report
      2016 Annual Research Report
  • [Presentation] Fourier-Malliavin estimators based on discrete measures2017

    • Author(s)
      Nien-Lin Liu
    • Organizer
      IFAM seminar
    • Place of Presentation
      University of Liverpool(UK)
    • Year and Date
      2017-03-16
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Fourier-Malliavin estimators based on discrete measures2017

    • Author(s)
      Nien-Lin Liu
    • Organizer
      DISEI seminar
    • Place of Presentation
      University of Florence(ITALY)
    • Year and Date
      2017-03-06
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Malliavin-Mancino Type Estimators based on Discrete Measures2017

    • Author(s)
      劉 念麟
    • Organizer
      2016年度冬季JAFEE大会
    • Place of Presentation
      武蔵大学(東京都・練馬区)
    • Year and Date
      2017-02-18
    • Related Report
      2016 Annual Research Report
  • [Presentation] Dynamic Principal Component Analysis by the Malliivin-Mancino Method; Remarks on Practical Implementations2016

    • Author(s)
      劉 念麟
    • Organizer
      2016年度夏季JAFEE大会
    • Place of Presentation
      成城大学(東京都・世田谷区)
    • Year and Date
      2016-08-08
    • Related Report
      2016 Annual Research Report
  • [Presentation] Fourier estimation method with positive semi-definite estimators2014

    • Author(s)
      Jiro AKAHORI
    • Organizer
      8th international conference on computational and financial econometrics
    • Place of Presentation
      Pisa, ITALY
    • Year and Date
      2014-12-08
    • Related Report
      2014 Research-status Report
  • [Presentation] フーリエ法に基づくスポットボラティリティ行列過程の非負定値な推定量の構成について

    • Author(s)
      劉 念麟
    • Organizer
      第39回ジャフィー大会
    • Place of Presentation
      明治大学駿河キャンパス(東京都)
    • Related Report
      2013 Research-status Report
  • [Presentation] The Fourier estimation method with non-negative definite estimators

    • Author(s)
      劉 念麟
    • Organizer
      The 1st workshop on quantum information theory and related topics
    • Place of Presentation
      Da Nang, VIETNAM
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] フーリエ法に基づくスポットボラティリティ行列過程の非負定値な推定量の構成について

    • Author(s)
      劉 念麟
    • Organizer
      日本応用数理学会2013年度年会
    • Place of Presentation
      アクロス福岡(福岡県)
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2022-02-16  

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