Advanced Search
MyIDEAS: Login to save this paper or follow this series

A tractable framework for zero-lower-bound Gaussian term structure models

Contents:

Author Info

  • Leo Krippner

Abstract

When nominal interest rates are near their zero lower bound (ZLB), as in many developed economies at the time of writing, it is theoretically untenable to apply the popular class of Gaussian affine term structure models (GATSMs) given their inherent material probabilities of negative interest rates. Hence, I propose a tractable modification for GATSMs that enforces the ZLB, and which approximates the fully arbitrage-free but much less tractable framework proposed in Black (1995). I apply my framework to United States yield curve data, with robust estimation via the iterated extended Kalman filter, and first show that the two-factor results are very similar to those from a comparable Black model. I then estimate two- and three-factor models with longer-maturity data sets to illustrate that my ZLB framework can readily be applied in circumstances would computationally burdensome or infeasible within the Black framework.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: https://cama.crawford.anu.edu.au/files/publication/cama_crawford_anu_edu_au/2013-08/49_2013_krippner_1.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University in its series CAMA Working Papers with number 2013-49.

as in new window
Length: 65 pages
Date of creation: Aug 2013
Date of revision:
Handle: RePEc:een:camaaa:2013-49

Contact details of provider:
Postal: Crawford Building, Lennox Crossing, Building #132, Canberra ACT 0200
Phone: +61 2 6125 4705
Fax: +61 2 6125 5448
Email:
Web page: http://cama.crawford.anu.edu.au
More information through EDIRC

Related research

Keywords: zero lower bound; term structure of interest rates; Gaussian affine term structure models; shadow short rate; shadow term structure;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Black, Fischer, 1995. " Interest Rates as Options," Journal of Finance, American Finance Association, vol. 50(5), pages 1371-76, December.
  2. Jens H. E. Christensen & Francis X. Diebold & Glenn D. Rudebusch, 2008. "An Arbitrage-Free Generalized Nelson-Siegel Term Structure Model," PIER Working Paper Archive 08-030, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  3. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-89, October.
  4. Durbin, James & Koopman, Siem Jan, 2012. "Time Series Analysis by State Space Methods: Second Edition," OUP Catalogue, Oxford University Press, number 9780199641178, Octomber.
  5. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  6. Francis X. Diebold & Glenn D. Rudebusch & S. Boragan Aruoba, 2004. "The Macroeconomy and the Yield Curve: A Dynamic Latent Factor Approach," NBER Working Papers 10616, National Bureau of Economic Research, Inc.
  7. Michael D. Bauer & Glenn D. Rudebusch, 2013. "Monetary policy expectations at the zero lower bound," Working Paper Series 2013-18, Federal Reserve Bank of San Francisco.
  8. 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.
  9. 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.
  10. 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.
  11. Chen, Ren-Raw & Scott, Louis O, 1992. "Pricing Interest Rate Options in a Two-Factor Cox-Ingersoll-Ross Model of the Term Structure," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 613-36.
  12. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January.
  13. Alan Brace & Dariusz G´┐Żatarek & Marek Musiela, 1997. "The Market Model of Interest Rate Dynamics," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 127-155.
  14. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
  15. Scott Joslin & Kenneth J. Singleton & Haoxiang Zhu, 2011. "A New Perspective on Gaussian Dynamic Term Structure Models," Review of Financial Studies, Society for Financial Studies, vol. 24(3), pages 926-970.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Jens H.E. Christensen, 2013. "A regime-switching model of the yield curve at the zero bound," Working Paper Series 2013-34, Federal Reserve Bank of San Francisco.
  2. Christensen, Jens H.E. & Rudebusch, Glenn D., 2013. "Modeling yields at the zero lower bound: are shadow rates the solution?," Working Paper Series 2013-39, Federal Reserve Bank of San Francisco.
  3. 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.
  4. Leo Krippner, 2014. "Measuring the stance of monetary policy in conventional and unconventional environments," CAMA Working Papers 2014-06, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:een:camaaa:2013-49. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Cama Admin).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.