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

Multivariate Feller conditions in term structure models: Why do(n't) we care?

Contents:

Author Info

  • Peter Spreij
  • Enno Veerman
  • Peter Vlaar

Abstract

In this paper, the relevance of the Feller conditions in discrete time macro-finance term structure models is investigated. The Feller conditions are usually imposed on a continuous time multivariate square root process to ensure that the roots have nonnegative arguments. For a discrete time approximate model, the Feller conditions do not give this guarantee. Moreover, in a macro-finance context the restrictions imposed might be economically unappealing. At the same time, it has also been observed that even without the Feller conditions imposed, for a practically relevant term structure model, negative arguments rarely occur. Using models estimated on German data, we compare the yields implied by (approximate) analytic exponentially affine expressions to those obtained through Monte Carlo simulations of very high numbers of sample paths. It turns out that the differences are rarely statistically significant, whether the Feller conditions are imposed or not. Moreover, economically the differences are negligible, as they are always below one basis point.

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: http://arxiv.org/pdf/0804.1039
File Function: Latest version
Download Restriction: no

Bibliographic Info

Paper provided by arXiv.org in its series Papers with number 0804.1039.

as in new window
Length:
Date of creation: Apr 2008
Date of revision:
Handle: RePEc:arx:papers:0804.1039

Contact details of provider:
Web page: http://arxiv.org/

Related research

Keywords:

Other versions of this item:

Find related papers by JEL classification:

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. Andrew Ang & Geert Bekaert, 2004. "The term structure of real rates and expected inflation," Proceedings, Federal Reserve Bank of San Francisco, Federal Reserve Bank of San Francisco, issue Mar.
  2. Dewachter, H.D.R. & Lyrio, M., 2003. "Macro factors and the Term Structure of Interest Rates," ERIM Report Series Research in Management, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasm ERS-2003-037-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
  3. Ralf Fendel, 2005. "An affine three-factor model of the German term structure of interest rates with macroeconomic content," Applied Financial Economics Letters, Taylor and Francis Journals, vol. 1(3), pages 151-156, May.
  4. Hans Dewachter & Marco Lyrio & Konstantijn Maes, 2004. "The Effect of Monetary Unification on German Bond Markets," European Financial Management, European Financial Management Association, vol. 10(3), pages 487-509.
  5. Hans Dewachter & Marco Lyrio & Konstantijn Maes, 2001. "A Joint Model for the Term Structure of Interest Rates and the Macroeconomy," International Economics Working Papers Series, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, International Economics wpie002, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, International Economics.
  6. Peter Spencer, 2004. "Affine Macroeconomic Models of the Term Structure of Interest Rates: The US Treasury Market 1961-99," Discussion Papers 04/16, Department of Economics, University of York, revised Jan 2006.
  7. Gregory R. Duffee, 2002. "Term Premia and Interest Rate Forecasts in Affine Models," Journal of Finance, American Finance Association, vol. 57(1), pages 405-443, 02.
  8. Hordahl, Peter & Tristani, Oreste & Vestin, David, 2006. "A joint econometric model of macroeconomic and term-structure dynamics," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 405-444.
  9. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
  10. Ben S. Bernanke & Vincent R. Reinhart & Brian P. Sack, 2004. "Monetary policy alternatives at the zero bound: an empirical assessment," Finance and Economics Discussion Series, Board of Governors of the Federal Reserve System (U.S.) 2004-48, Board of Governors of the Federal Reserve System (U.S.).
  11. Glenn D. Rudebusch & Tao Wu, 2007. "Accounting for a Shift in Term Structure Behavior with No-Arbitrage and Macro-Finance Models," Journal of Money, Credit and Banking, Blackwell Publishing, Blackwell Publishing, vol. 39(2-3), pages 395-422, 03.
  12. Wu, Tao, 2006. "Macro Factors and the Affine Term Structure of Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, Blackwell Publishing, vol. 38(7), pages 1847-1875, October.
  13. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  14. David K. Backus, 2001. "Affine Term Structure Models and the Forward Premium Anomaly," Journal of Finance, American Finance Association, vol. 56(1), pages 279-304, 02.
  15. Peter Hordahl & Oreste Tristani & David Vestin, 2003. "A joint econometric model of macroeconomic and term structure," Proceedings, Federal Reserve Bank of San Francisco, Federal Reserve Bank of San Francisco, issue Mar.
  16. David Jamieson Bolder, 2001. "Affine Term-Structure Models: Theory and Implementation," Working Papers 01-15, Bank of Canada.
Full references (including those not matched with items on IDEAS)

Citations

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:arx:papers:0804.1039. 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: (arXiv administrators).

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.