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Estimating shadow-rate term structure models with near-zero yields

  • Jens H. E. Christensen
  • Glenn D. Rudebusch

Standard Gaussian term structure models have often been criticized for not ruling out negative nominal interest rates, but this flaw has been especially conspicuous with interest rates near zero in many countries. We provide a tractable means to estimate an alternative Gaussian shadow-rate dynamic term structure model that enforces the zero lower bound on bond yields. We illustrate this model by estimating one-, two-, and three-factor shadow-rate models on a sample of positive and near-zero Japanese bond yields. We find that the level of the shadow rate is sensitive to model fit and specification, including the number of factors employed.

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Paper provided by Federal Reserve Bank of San Francisco in its series Working Paper Series with number 2013-07.

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Date of creation: 2013
Date of revision:
Handle: RePEc:fip:fedfwp:2013-07
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  1. Leo Krippner, 2012. "Modifying Gaussian term structure models when interest rates are near the zero lower bound," Reserve Bank of New Zealand Discussion Paper Series DP2012/02, Reserve Bank of New Zealand.
  2. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2008. "Inflation expectations and risk premiums in an arbitrage-free model of nominal and real bond yields," Working Paper Series 2008-34, Federal Reserve Bank of San Francisco.
  3. Viatcheslav Gorovoi & Vadim Linetsky, 2004. "Black's Model of Interest Rates as Options, Eigenfunction Expansions and Japanese Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 14(1), pages 49-78.
  4. Jens H. E. Christensen & Francis X. Diebold & Glenn D. Rudebusch, 2007. "The affine arbitrage-free class of Nelson-Siegel term structure models," Working Paper Series 2007-20, Federal Reserve Bank of San Francisco.
  5. Leo Krippner, 2012. "Measuring the stance of monetary policy in zero lower bound environments," CAMA Working Papers 2012-35, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
  6. Jens H. E. Christensen & Glenn D. Rudebusch, 2012. "The response of interest rates to U.S. and U.K. quantitative easing," Working Paper Series 2012-06, Federal Reserve Bank of San Francisco.
  7. Michael D. Bauer & Glenn D. Rudebusch & Jing Cynthia Wu, 2012. "Correcting Estimation Bias in Dynamic Term Structure Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(3), pages 454-467, April.
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