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Asymptotic expansion for the discretely observed interest rate models and its applications to interest rate derivatives pricing

Research Project

Project/Area Number 26380401
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Money/ Finance
Research InstitutionTokyo University of Science

Principal Investigator

Shiohama Takayuki  東京理科大学, 工学部情報工学科, 准教授 (40361844)

Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords確率金利モデル / 信用リスク計測 / 確率展開 / 金利派生商品 / 金利の期間構造 / ポートフォリオ最適化 / 金融リスク評価 / ベイズ推定 / 金利デリバティブ / 信用リスク / 与信ポートフォリオ管理 / 混合分布モデル / 漸近展開 / ハル・ホワイト・モデル / 構造型アプローチ / ファクターモデル / Vasicekモデル / 日本国債イールド
Outline of Final Research Achievements

In this study, we consider the discretely observed interest rate process and the asset value process in order to evaluate the interest rate options and some credit risks measures. The underlying discretely observed processes are characterized by the non-Gaussianity and serially correlated innovations. By using the asymptotic expansion approaches, we derive some interest rate option prices and the credit risk measures which are expressed by the functions of the skewness and kurtosis of the underlying model parameters. In particular, for equillibrium and no-arbitrage models of the interest rate models, we extend the option pricing approaches based on the Vasicek and Hull-White models to have the non-Gaussian and serially correlated innovations for the underlying processes.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (20 results)

All 2018 2017 2016 2015 2014

All Journal Article (10 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 5 results,  Acknowledgement Compliant: 8 results) Presentation (9 results) (of which Int'l Joint Research: 6 results,  Invited: 3 results) Book (1 results)

  • [Journal Article] 日本株式市場におけるファクター・リスクパリティ・ポートフォリオの実践2018

    • Author(s)
      清水英彦・塩濱敬之
    • Journal Title

      証券アナリストジャーナル

      Volume: 5

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Supervised-topic-model-based hybrid filtering for recommender systems2017

    • Author(s)
      Kawai, Mimu., Shiohama, Takayuki, and Sato, Hiroyuki.
    • Journal Title

      Proceedings of the 2nd International Conference on Big Data, Cloud Computing, Data Science & Engineering

      Volume: - Pages: 272-277

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Circular autocorrelation of stationary circular Markov processes2017

    • Author(s)
      Abe, T., Ogata, H., Shiohama, T., and Taniai, H.
    • Journal Title

      Stochastic Process and Statistical Inference

      Volume: 印刷中 Issue: 3 Pages: 275-290

    • DOI

      10.1007/s11203-016-9154-0

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Bootstrap Estimation and Model Selection for Multivariate Normal Mixtures using Parallel Computing with Graphics Processing Units2017

    • Author(s)
      Iida, M., Miata, Y., and Shiohama, T.
    • Journal Title

      Communications in Statistics - Simulation and Computation

      Volume: 印刷中 Issue: 5 Pages: 1326-1342

    • DOI

      10.1080/03610918.2017.1311916

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Asymptotic expansion of one-factor Merton models with non-Gaussian and serially correlated innovations2016

    • Author(s)
      Shiohama, T.
    • Journal Title

      JSM Proceedings, Business and Economic Section.

      Volume: - Pages: 2604-2615

    • Related Report
      2016 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Expected Shortfall Estimation via Importance Sampling GARCH Predictive Distribution2016

    • Author(s)
      Nakajima, K. and Shiohama, T.
    • Journal Title

      Stochastic and Data Analysis Methods and Applications in Statistics and Demography

      Volume: - Pages: 165-176

    • Related Report
      2016 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Financial News Classification based on Topographic Independent Component Analysis: Optimization on the Stiefel Manifold2016

    • Author(s)
      Kitao, A., Shiohama, T., and Sato, H.
    • Journal Title

      Stochastic and Data Analysis Methods and Applications in Statistics and Demography

      Volume: - Pages: 449-462

    • Related Report
      2016 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Structural Credit Risks with Non-Gaussian and Serially Correlated Innovations2016

    • Author(s)
      Kawada, A. and Shiohama, T.
    • Journal Title

      American Journal of Mathematical and Management Sciences

      Volume: 35 Issue: 2 Pages: 143-158

    • DOI

      10.1080/01966324.2015.1126208

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Estimating Multi-Factor Discretely Observed Vasicek Term Structure Models with non-Gaussian Innovations2015

    • Author(s)
      Takayuki Shiohama
    • Journal Title

      Proceedings of SMTDA

      Volume: -

    • Related Report
      2014 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Multi-Factor Discretely Observed Vasicek Term Structure Models with non-Gaussian Innovations and Its Applications to the Japanese Government Bond Markets2014

    • Author(s)
      Takayuki Shiohama
    • Journal Title

      JSM Proceedings, Business and Economic Statistics Section

      Volume: - Pages: 2853-2861

    • Related Report
      2014 Research-status Report
    • Acknowledgement Compliant
  • [Presentation] Bayesian estimation for the inverse Batschelet distributions on the circle2017

    • Author(s)
      Abe, T., Miyata, Y., and T. Shiohama
    • Organizer
      1st International Conference on Econometrics and Statistics (EcoSta 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotically optimal inference for two modal concentration of antipodally symmetric circular distributions2017

    • Author(s)
      Abe, T., Ogata, H., T. Shiohama, and Taniai, H.
    • Organizer
      1st International Conference on Econometrics and Statistics (EcoSta 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Bayesian estimation of the default rate distributions with non-Gaussian single factor models2017

    • Author(s)
      T. Shiohama
    • Organizer
      Joint Statistical Meeting 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Non-linear State-Space Modeling for Wind Speed and Direction2016

    • Author(s)
      Shiohama, T.
    • Organizer
      The 9th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics) 2016
    • Place of Presentation
      University of Seville, Spain
    • Year and Date
      2016-12-09
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotic expansion of one-factor Merton models with non-Gaussian and serially correlated innovations2016

    • Author(s)
      Shiohama, T.
    • Organizer
      Joint Statistical Meeting 2016
    • Place of Presentation
      McCormick Place, Chicako, U.S.
    • Year and Date
      2016-07-29
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Evaluating Interest Rate Derivatives with Discretely Observed non-Gaussian Hull-White Models2015

    • Author(s)
      Shiohama, T.
    • Organizer
      Joint Statistical Meetings 2015
    • Place of Presentation
      Seattle
    • Year and Date
      2015-08-09
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Multi-Factor Discretely Observed Vasicek Term Structure Models with non-Gaussian Innovations and Its Applications to the Japanese Government Bond Markets2014

    • Author(s)
      Takayuki Shiohama
    • Organizer
      2014 Joint Statistical Meeting
    • Place of Presentation
      Boston, MA, USA
    • Year and Date
      2014-08-02 – 2014-08-07
    • Related Report
      2014 Research-status Report
  • [Presentation] “Estimating Multi-Factor Discretely Observed Vasicek Term Structure Models with non-Gaussian Innovations2014

    • Author(s)
      Takayuki Shiohama
    • Organizer
      3rd Stochastic Modeling Techniques and Data Analysis
    • Place of Presentation
      Lisbon, Portugal
    • Year and Date
      2014-06-11 – 2014-06-14
    • Related Report
      2014 Research-status Report
  • [Presentation] 離散時間確率金利モデルの漸近展開と金利派生商品の価格付け2014

    • Author(s)
      塩濱敬之
    • Organizer
      金融数理および年金数理研究セミナー
    • Place of Presentation
      早稲田大学
    • Year and Date
      2014-05-28
    • Related Report
      2014 Research-status Report
  • [Book] 理工系の基礎 情報工学 6章「モンテカルロ法とデータサイエンス」2018

    • Author(s)
      塩濱敬之・佐藤寛之
    • Total Pages
      292
    • Publisher
      丸善出版
    • ISBN
      9784621302859
    • Related Report
      2017 Annual Research Report

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Published: 2014-04-04   Modified: 2019-03-29  

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