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Forecasting with the term structure: The role of no-arbitrage restrictions

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  • Greg Duffee

Abstract

No-arbitrage term structure models impose cross-sectional restrictions among yields and can be used to impose dynamic restrictions on risk compensation. This paper evaluates the importance of these restrictions when using the term structure to forecast future bond yields. It concludes that no cross-sectional restrictions are helpful, because cross-sectional properties of yields are easy to infer with high precision. Dynamic restrictions are useful, but can be imposed without relying on the no-arbitrage structure. In practice, the most important dynamic restriction is that the first principal component of Treasury yields follows a random walk. A simple model built around this assumption produces out-of-sample forecasts that are more accurate than those of a variety of alternative dynamic models.

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Paper provided by The Johns Hopkins University,Department of Economics in its series Economics Working Paper Archive with number 576.

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Date of creation: Jan 2011
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Handle: RePEc:jhu:papers:576

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  1. Geert Bekaert & Robert J. Hodrick & David A. Marshall, 1996. "On Biases in Tests of the Expecations Hypothesis of the Term Structure Of Interest Rates," NBER Technical Working Papers 0191, National Bureau of Economic Research, Inc.
  2. Dimitri Vayanos & Robin Greenwood, 2008. "Bond Supply and Excess Bond Returns," FMG Discussion Papers dp607, Financial Markets Group.
  3. Diebold, Francis X. & Li, Canlin, 2006. "Forecasting the term structure of government bond yields," Journal of Econometrics, Elsevier, vol. 130(2), pages 337-364, February.
  4. Gregory R. Duffee, 2011. "Information in (and not in) the Term Structure," Review of Financial Studies, Society for Financial Studies, vol. 24(9), pages 2895-2934.
  5. Duffee, Gregory R, 1996. " Idiosyncratic Variation of Treasury Bill Yields," Journal of Finance, American Finance Association, vol. 51(2), pages 527-51, June.
  6. Greg Duffee, 2010. "Sharpe ratios in term structure models," Economics Working Paper Archive 575, The Johns Hopkins University,Department of Economics.
  7. David K. Backus & Stanley E. Zin, 1994. "Reverse Engineering the Yield Curve," Working Papers 94-09, New York University, Leonard N. Stern School of Business, Department of Economics.
  8. Jens H. E. Christensen & Francis X. Diebold & Glenn D. Rudebusch, 2007. "The Affine Arbitrage-Free Class of Nelson-Siegel Term Structure Models," PIER Working Paper Archive 07-029, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  9. 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.
  10. Pagan, A.R. & Hall, A.D. & Martin, V., 1995. "Modelling the Term Structure," Papers 284, Australian National University - Department of Economics.
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Cited by:
  1. Andrea Carriero & George Kapetanios & Massimiliano Marcellino, 2010. "Forecasting Government Bond Yields with Large Bayesian VARs," Working Papers 662, Queen Mary, University of London, School of Economics and Finance.
  2. Greg Duffee, 2011. "Information in (and not in) the term structure," Economics Working Paper Archive 577, The Johns Hopkins University,Department of Economics.
  3. Koopman, Siem Jan & van der Wel, Michel, 2013. "Forecasting the US term structure of interest rates using a macroeconomic smooth dynamic factor model," International Journal of Forecasting, Elsevier, vol. 29(4), pages 676-694.
  4. Hamilton, James D. & Wu, Jing Cynthia, 2012. "Identification and estimation of Gaussian affine term structure models," Journal of Econometrics, Elsevier, vol. 168(2), pages 315-331.
  5. James D. Hamilton & Jing Cynthia Wu, 2011. "Testable Implications of Affine Term Structure Models," NBER Working Papers 16931, National Bureau of Economic Research, Inc.
  6. James D. Hamilton & Jing Cynthia Wu, 2011. "The Effectiveness of Alternative Monetary Policy Tools in a Zero Lower Bound Environment," NBER Working Papers 16956, National Bureau of Economic Research, Inc.
  7. Joslin, Scott & Le, Anh & Singleton, Kenneth J., 2013. "Why Gaussian macro-finance term structure models are (nearly) unconstrained factor-VARs," Journal of Financial Economics, Elsevier, vol. 109(3), pages 604-622.
  8. Carriero, Andrea & Kapetanios, George & Marcellino, Massimiliano, 2012. "Forecasting government bond yields with large Bayesian vector autoregressions," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 2026-2047.

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