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Unbiased estimate of dynamic term structure models

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  • Michael D. Bauer
  • Glenn D. Rudebusch
  • Jing (Cynthia) Wu

Abstract

Affine dynamic term structure models (DTSMs) are the standard finance representation of the yield curve. However, the literature on DTSMs has ignored the coefficient bias that plagues estimated autoregressive models of persistent time series. We introduce new simulation-based methods for reducing or even eliminating small-sample bias in empirical affine Gaussian DTSMs. With these methods, we show that conventional estimates of DTSM coefficients are severely biased, which results in misleading estimates of expected future short-term interest rates and long-maturity term premia. Our unbiased DTSM estimates imply risk-neutral rates and term premia that are more plausible from a macro-finance perspective.

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Bibliographic Info

Paper provided by Federal Reserve Bank of San Francisco in its series Working Paper Series with number 2011-12.

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Date of creation: 2011
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Handle: RePEc:fip:fedfwp:2011-12

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Keywords: Interest rates;

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References

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  1. Tom Engsted & Thomas Q. Pedersen, 2008. "Return predictability and intertemporal asset allocation: Evidence from a bias-adjusted VAR model," CREATES Research Papers 2008-27, School of Economics and Management, University of Aarhus.
  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. Jardet, C. & Monfort, A. & Pegoraro, F., 2009. "No-arbitrage Near-Cointegrated VAR(p) Term Structure Models, Term Premia and GDP Growth," Working papers 234, Banque de France.
  4. Luis Gil-Alana & Antonio Moreno, . "Uncovering the U.S. Term Premium: An Alternative Route," Faculty Working Papers 12/07, School of Economics and Business Administration, University of Navarra.
  5. Christensen, Jens H.E. & Diebold, Francis X. & Rudebusch, Glenn D., 2011. "The affine arbitrage-free class of Nelson-Siegel term structure models," Journal of Econometrics, Elsevier, vol. 164(1), pages 4-20, September.
  6. Andrew Ang & Jean Boivin & Sen Dong & Rudy Loo-Kung, 2009. "Monetary Policy Shifts and the Term Structure," NBER Working Papers 15270, National Bureau of Economic Research, Inc.
  7. Amihud, Yakov & Hurvich, Clifford M., 2004. "Predictive Regressions: A Reduced-Bias Estimation Method," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(04), pages 813-841, December.
  8. James G. MacKinnon & Anthony A. Smith, Jr., . "Approximate Bias Correction in Econometrics," GSIA Working Papers 1997-36, Carnegie Mellon University, Tepper School of Business.
  9. Hanno Lustig & Nikolai Roussanov & Adrien Verdelhan, 2010. "Countercyclical Currency Risk Premia," NBER Working Papers 16427, National Bureau of Economic Research, Inc.
  10. Lutz Kilian, 1998. "Small-Sample Confidence Intervals For Impulse Response Functions," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 218-230, 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. Glenn D. Rudebusch, 1990. "Trends and random walks in macroeconomic time series: a re-examination," Working Paper Series / Economic Activity Section 105, Board of Governors of the Federal Reserve System (U.S.).
  13. Michael D. Bauer, 2011. "Term premia and the news," Working Paper Series 2011-03, Federal Reserve Bank of San Francisco.
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Cited by:
  1. Borgy, V. & Laubach, T. & M├ęsonnier, J-S. & Renne, J-P., 2011. "Fiscal Sustainability, Default Risk and Euro Area Sovereign Bond Spreads Markets," Working papers 350, Banque de France.
  2. Michael D. Bauer & Glenn D. Rudebusch, 2014. "The Signaling Channel for Federal Reserve Bond Purchases," International Journal of Central Banking, International Journal of Central Banking, vol. 10(3), pages 233-289, September.
  3. Yun, Tack & Kim, Jinsook & Ko, Eunmi, 2012. "The Role of Bounded Rationality in Macro-Finance Affine Term-Structure Models," MPRA Paper 44212, University Library of Munich, Germany.
  4. Daniela Osterrieder & Peter C. Schotman, 2012. "The Volatility of Long-term Bond Returns: Persistent Interest Shocks and Time-varying Risk Premiums," CREATES Research Papers 2012-35, School of Economics and Management, University of Aarhus.
  5. Gregory H. Bauer & Antonio Diez de los Rios, 2012. "An International Dynamic Term Structure Model with Economic Restrictions and Unspanned Risks," Working Papers 12-5, Bank of Canada.

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