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Statistical Analysis of Implied Data

Research Project

Project/Area Number 24530223
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Economic statistics
Research InstitutionTottori University of Environmental Studies

Principal Investigator

TAKAHASHI Hajime  鳥取環境大学, その他部局等, 教授 (70154838)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
KeywordsImplied Data / Credit Risk / Measure Change / Liquidity / Implied Probability / Jump Markov Process / Implied probability / Statistical Analysis / Liqudity
Outline of Final Research Achievements

We consider the conditions under which the estimators obtained impliedly by calibration. The underlying theory is presented by Takahashi (2011, APFM),the results are given under the Martingale Measure though.Takahashi(2011) considers only a special case, where the default is independent from the other economic factors underlying the basic model. In this case, Martingale measure is equal to the real world probability. We consider the methodof Ross, which is proved to be not suitable for our problem. We consider the measure change, Radon Nikodym theorem and the strong law of large numbers are key tool. We shall consider more realistic case in the next project.

Report

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

    (4 results)

All 2015 2014 2013 2012

All Journal Article (1 results) (of which Open Access: 1 results) Presentation (3 results) (of which Invited: 3 results)

  • [Journal Article] Estimation of Default Probability under Real Probability Measure2014

    • Author(s)
      Tobe, R. and H. Takahashi
    • Journal Title

      WIF 早稲田大学経営大学院

      Volume: 14-001

    • Related Report
      2014 Annual Research Report
    • Open Access
  • [Presentation] An Application of Interacting Multiple Model Tracking Method to Financial Modeling2015

    • Author(s)
      Shozo Mori, KC Chang, Hajime Takahashi, C-Y Chong
    • Organizer
      ISIF 18th International Conference on Information Fusion,
    • Place of Presentation
      Washington DC
    • Year and Date
      2015-07-06 – 2015-07-09
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A Note on Pricing Illiquid Assets2013

    • Author(s)
      高橋 一
    • Organizer
      ”金融工学からERMへ"      一橋大学金融工学教育研究センター
    • Place of Presentation
      東京都国立市
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 金利スプレッドによる倒産確率の推定2012

    • Author(s)
      高橋 一
    • Organizer
      松江シンポジウム(日本数学会)
    • Place of Presentation
      島根県松江市
    • Related Report
      2012 Research-status Report
    • Invited

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

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