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 arealways 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://www.dnb.nl/binaries/wp173_tcm46-174258.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Netherlands Central Bank, Research Department in its series DNB Working Papers with number 173.

as in new window
Length:
Date of creation: Apr 2008
Date of revision:
Handle: RePEc:dnb:dnbwpp:173

Contact details of provider:
Postal: Postbus 98, 1000 AB Amsterdam
Web page: http://www.dnb.nl/en/
More information through EDIRC

Related research

Keywords: macro-finance models; affine term structure model; expected inflation; ex-antereal short rate; Monte Carlo simulations;

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. Andrew Ang & Geert Bekaert & Min Wei, 2007. "The Term Structure of Real Rates and Expected Inflation," NBER Working Papers 12930, National Bureau of Economic Research, Inc.
  2. 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.
  3. Peter Hoerdahl & Oreste Tristani, 2004. "A joint econometric model of macroeconomic and term structure dynamics," Econometric Society 2004 North American Summer Meetings 379, Econometric Society.
  4. Hans Dewachter, 2004. "Macro factors and the term structure of interest rates," Money Macro and Finance (MMF) Research Group Conference 2003 25, Money Macro and Finance Research Group.
  5. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  6. Peter Hordahl & Oreste Tristani & David Vestin, 2003. "A joint econometric model of macroeconomic and term structure," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  7. Andrew Ang & Monika Piazzesi, 2001. "A No-Arbitrage Vector Autoregression of Term Structure Dynamics with Macroeconomic and Latent Variables," NBER Working Papers 8363, National Bureau of Economic Research, Inc.
  8. 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.
  9. 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 2004-48, Board of Governors of the Federal Reserve System (U.S.).
  10. 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.
  11. 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.
  12. David Jamieson Bolder, 2001. "Affine Term-Structure Models: Theory and Implementation," Working Papers 01-15, Bank of Canada.
  13. Marco Lyrio & Hans Dewachter & Konstantijn Maes, 2006. "A joint model for the term structure of interest rates and the macroeconomy," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(4), pages 439-462.
  14. 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, vol. 39(2-3), pages 395-422, 03.
  15. 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.
  16. Wu, Tao, 2006. "Macro Factors and the Affine Term Structure of Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(7), pages 1847-1875, October.
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:dnb:dnbwpp:173. 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: (Rob Vet).

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.