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

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  • 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.
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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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    References listed on IDEAS

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    11. Cheridito, Patrick & Filipovic, Damir & Kimmel, Robert L., 2007. "Market price of risk specifications for affine models: Theory and evidence," Journal of Financial Economics, Elsevier, vol. 83(1), pages 123-170, January.
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    14. Nowman, K B, 1997. "Gaussian Estimation of Single-Factor Continuous Time Models of the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 52(4), pages 1695-1706, September.
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    Cited by:

    1. 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.
    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, 2022. "How arbitrage-free is the Nelson–Siegel model under stochastic volatility?," International Review of Economics & Finance, Elsevier, vol. 79(C), pages 205-223.
    4. 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.

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    More about this item

    Keywords

    Short-rate; Term structure; Approximation; Conditional moment;
    All these keywords.

    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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