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Efficient bond price approximations in non-linear equilibrium-based term structure models

Author

Listed:
  • Andreasen Martin M.

    (CCBS, Bank of England and Centre for Macroeconomics, Bank of England, Threadneedle Street, London, EC2R 8AH, UK)

  • Zabczyk Pawel

    (CCBS, Bank of England and Centre for Macroeconomics, Bank of England, Threadneedle Street, London, EC2R 8AH, UK)

Abstract

This paper develops an efficient method to compute higher-order perturbation approximations of bond prices. At third order, our approach can significantly shorten the approximation process and its precision exceeds the log-normal method and a procedure using consol bonds. The efficiency gains greatly facilitate any estimation which is illustrated by considering a long-run risk model for the US. Allowing for an unconstrained intertemporal elasticity of substitution enhances the model’s fit, and we see further improvements when incorporating stochastic volatility and external habits.

Suggested Citation

  • Andreasen Martin M. & Zabczyk Pawel, 2015. "Efficient bond price approximations in non-linear equilibrium-based term structure models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 19(1), pages 1-33, February.
    • Handle: RePEc:bpj:sndecm:v:19:y:2015:i:1:p:1-33:n:1
    DOI: 10.1515/snde-2012-0005
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    References listed on IDEAS

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    Cited by:

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    4. Lorenzo Bretscher & Alex Hsu & Andrea Tamoni, 2017. "Level and Volatility Shocks to Fiscal Policy: Term Structure Implications," 2017 Meeting Papers 258, Society for Economic Dynamics.
    5. Martin M. Andreasen & Anders Kronborg, 2017. "The Extended Perturbation Method: New Insights on the New Keynesian Model," CREATES Research Papers 2017-14, Department of Economics and Business Economics, Aarhus University.

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    More about this item

    Keywords

    DSGE model; habit model; higher order perturbation method; long-run risk; stochastic volatility;
    All these keywords.

    JEL classification:

    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • E0 - Macroeconomics and Monetary Economics - - General

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