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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
  • Shoji, Isao

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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  • Takamizawa, Hideyuki & Shoji, Isao, 2009. "Modeling the term structure of interest rates with general diffusion processes: A moment approximation approach," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 65-77, January.
    • Handle: RePEc:eee:dyncon:v:33:y:2009:i:1:p:65-77
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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.
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    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;

    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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