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A New Linear Estimator for Gaussian Dynamic Term Structure Models

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Author Info

  • Antonio Diez de los Rios

Abstract

This paper proposes a novel regression-based approach to the estimation of Gaussian dynamic term structure models that avoids numerical optimization. This new estimator is an asymptotic least squares estimator defined by the no-arbitrage conditions upon which these models are built. We discuss some efficiency considerations of this estimator, and show that it is asymptotically equivalent to maximum likelihood estimation. Further, we note that our estimator remains easy-to-compute and asymptotically efficient in a variety of situations in which other recently proposed approaches lose their tractability. We provide an empirical application in the context of the Canadian bond market.

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Bibliographic Info

Paper provided by Bank of Canada in its series Working Papers with number 13-10.

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Length: 63 pages
Date of creation: 2013
Date of revision:
Handle: RePEc:bca:bocawp:13-10

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Related research

Keywords: Asset Pricing; Econometric and statistical methods; Interest rates;

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References

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  1. 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.
  2. Ball, Clifford A. & Torous, Walter N., 1996. "Unit roots and the estimation of interest rate dynamics," Journal of Empirical Finance, Elsevier, vol. 3(2), pages 215-238, June.
  3. Geert Bekaert & Robert J. Hodrick, 2000. "Expectations Hypotheses Tests," NBER Working Papers 7609, National Bureau of Economic Research, Inc.
  4. Enrique Sentana & Antonio Diez de los Rios, 2007. "Testing Uncovered Interest Parity: A Continuous-Time Approach," Working Papers wp2007_0714, CEMFI.
  5. Sentana, Enrique, 2000. "Did the EMS Reduce the Cost of Capital?," CEPR Discussion Papers 2640, C.E.P.R. Discussion Papers.
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  8. Bekaert, Geert & Hodrick, Robert J. & Marshall, David A., 1997. "On biases in tests of the expectations hypothesis of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 44(3), pages 309-348, June.
  9. Leandro M. Magnusson & Sophocles Mavroeidis, 2010. "Identification-Robust Minimum Distance Estimation of the New Keynesian Phillips Curve," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(2-3), pages 465-481, 03.
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  13. Lutkepohl, Helmut, 1989. "A note on the asymptotic distribution of impulse response functions of estimated var models with orthogonal residuals," Journal of Econometrics, Elsevier, vol. 42(3), pages 371-376, November.
  14. 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.
  15. Kleibergen, Frank, 2009. "Tests of risk premia in linear factor models," Journal of Econometrics, Elsevier, vol. 149(2), pages 149-173, April.
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  17. David J. Bolder & Grahame Johnson & Adam Metzler, 2004. "An Empirical Analysis of the Canadian Term Structure of Zero-Coupon Interest Rates," Working Papers 04-48, Bank of Canada.
  18. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  19. Marcellino, Massimiliano, 1999. "Some Consequences of Temporal Aggregation in Empirical Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(1), pages 129-36, January.
  20. Kodde, D A & Palm, Franz C & Pfann, G A, 1990. "Asymptotic Least-Squares Estimation Efficiency Considerations and Applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(3), pages 229-43, July-Sept.
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Cited by:
  1. Drew D. Creal & Jing Cynthia Wu, 2014. "Estimation of Affine Term Structure Models with Spanned or Unspanned Stochastic Volatility," NBER Working Papers 20115, National Bureau of Economic Research, Inc.

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