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Efficient Jacobian evaluations for estimating zero lower bound term structure models

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  • Leo Krippner

Abstract

Faster extended Kalman filter estimations of zero lower bound models of the term structure are possible if the analytic properties of the Jacobian matrix for the measurement equation are exploited. I show that such results are straighforward to incorporate, at least in Monte-Carlo-based implementations, and that will facilitate fast and robust estimations of zero lower bound term structure models with the iterated extended Kalman filter.

Suggested Citation

  • Leo Krippner, 2013. "Efficient Jacobian evaluations for estimating zero lower bound term structure models," CAMA Working Papers 2013-77, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    • Handle: RePEc:een:camaaa:2013-77
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    File URL: https://cama.crawford.anu.edu.au/sites/default/files/publication/cama_crawford_anu_edu_au/2013-12/77_2013_krippner.pdf
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    References listed on IDEAS

    as
    1. Krippner, Leo, 2013. "Measuring the stance of monetary policy in zero lower bound environments," Economics Letters, Elsevier, vol. 118(1), pages 135-138.
    2. 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.
    3. Michael D. Bauer & Glenn D. Rudebusch, 2016. "Monetary Policy Expectations at the Zero Lower Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(7), pages 1439-1465, October.
    4. Kim, Don H. & Singleton, Kenneth J., 2012. "Term structure models and the zero bound: An empirical investigation of Japanese yields," Journal of Econometrics, Elsevier, vol. 170(1), pages 32-49.
    5. Leo Krippner, 2011. "Modifying Gaussian term structure models when interest rates are near the zero lower bound," CAMA Working Papers 2011-36, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    6. Leo Krippner, 2013. "Faster solutions for Black zero lower bound term structure models," CAMA Working Papers 2013-66, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    7. Black, Fischer, 1995. "Interest Rates as Options," Journal of Finance, American Finance Association, vol. 50(5), pages 1371-1376, December.
    8. Jarrow, Robert A., 2013. "The zero-lower bound on interest rates: Myth or reality?," Finance Research Letters, Elsevier, vol. 10(4), pages 151-156.
    9. Leo Krippner, 2013. "A tractable framework for zero lower bound Gaussian term structure models," Reserve Bank of New Zealand Discussion Paper Series DP2013/02, Reserve Bank of New Zealand.
    10. Dai, Qiang & Singleton, Kenneth J., 2002. "Expectation puzzles, time-varying risk premia, and affine models of the term structure," Journal of Financial Economics, Elsevier, vol. 63(3), pages 415-441, March.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Black framework; zero lower bound; shadow short rate; term structure model;
    All these keywords.

    JEL classification:

    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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