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Modeling the Term Structure of Interest Rates with General Diffusion Processes: A Moment Approximation Approach

Author

Listed:
  • Takamizawa, Hideyuki
  • 高見澤, 秀幸
  • Shoji, Isao
  • 庄司, 功

Abstract

We propose an analytical approximation of the term structure of interest rates under general diffusion processes of the short-rate and state variables. A method of approximating conditional moments as the solution to a system of ordinary differential equations is applied to the pricing of bonds. Numerical experiments based on two illustrative models show that the second-order approximation is accurate for maturities of up to five years and the third-order approximation is effective for longer maturities. We also show the possibility of improving the second-order approximation without much increasing the computational burden.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Takamizawa, Hideyuki & 高見澤, 秀幸 & Shoji, Isao & 庄司, 功, 2007. "Modeling the Term Structure of Interest Rates with General Diffusion Processes: A Moment Approximation Approach," Discussion Papers 2006-05, Graduate School of Economics, Hitotsubashi University.
    • Handle: RePEc:hit:econdp:2006-05
    Note: This version: October, 2007 (The previous version: October, 2006)
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    File URL: https://hit-u.repo.nii.ac.jp/record/2052417/files/070econDP06-05.pdf
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    Cited by:

    1. is not listed on IDEAS
    2. Hideyuki Takamizawa, 2015. "Predicting Interest Rate Volatility Using Information on the Yield Curve," International Review of Finance, International Review of Finance Ltd., vol. 15(3), pages 347-386, September.
    3. Takamizawa, Hideyuki & 高見澤, 秀幸, 2015. "Impact of No-arbitrage on Interest Rate Dynamics," Working Paper Series G-1-5, Hitotsubashi University Center for Financial Research.
    4. Takamizawa, Hideyuki, 2022. "How arbitrage-free is the Nelson–Siegel model under stochastic volatility?," International Review of Economics & Finance, Elsevier, vol. 79(C), pages 205-223.
    5. Hideyuki Takamizawa, 2018. "A term structure model of interest rates with quadratic volatility," Quantitative Finance, Taylor & Francis Journals, vol. 18(7), pages 1173-1198, July.

    More about this item

    Keywords

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    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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