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Reprojecting Partially Observed Systems with Application to Interest Rate Diffusions

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Author Info

  • Gallant, A. Ronald
  • Tauchen, George

Abstract

We introduce reprojection as a general purpose technique for characterizing the observable dynamics of a partially observed nonlinear system. System parameters are estimated by method of moments wherein moments implied by the system are matched to moments implied by the transition density for observables that is determined by projecting the data onto its Hermite representation. Reprojection imposes the constraints implied by the system on the transition density and is accomplished by projecting a long simulation of the estimated system onto the Hermite representation. We utilize the technique to assess the dynamics of several diffusion models for the short-term interest rate that have been proposed and compare them to a new model that has feedback from the interest rate into both the drift and diffusion coefficients of a volatility equation. This effort entails the development of new graphical diagnostics.

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Bibliographic Info

Paper provided by Duke University, Department of Economics in its series Working Papers with number 97-09.

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Date of creation: 1997
Date of revision:
Publication status: Published in JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, Vol. 93, 1998, pages 10-24
Handle: RePEc:duk:dukeec:97-09

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Postal: Department of Economics Duke University 213 Social Sciences Building Box 90097 Durham, NC 27708-0097
Phone: (919) 660-1800
Fax: (919) 684-8974
Web page: http://econ.duke.edu/

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Cited by:
  1. J. Jimenez & R. Biscay & T. Ozaki, 2005. "Inference Methods for Discretely Observed Continuous-Time Stochastic Volatility Models: A Commented Overview," Asia-Pacific Financial Markets, Springer, vol. 12(2), pages 109-141, June.
  2. Sofía B. Ramos & Helena Veiga, 2009. "Risk factors in oil and gas industry returns: international evidence," Statistics and Econometrics Working Papers ws096920, Universidad Carlos III, Departamento de Estadística y Econometría.
  3. Boswijk, H. Peter & Lucas, Andr‚ & Taylor, Nick, 1998. "A comparison of parametric, semi-nonparametric, adaptive and nonparametric tests," Serie Research Memoranda 0062, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  4. Hideyuki Takamizawa, 2007. "A Simple Measure for Examining the Proxy Problem of the Short-Rate," Asia-Pacific Financial Markets, Springer, vol. 14(4), pages 341-361, December.
  5. Torben G. Andersen & Luca Benzoni & Jesper Lund, 2002. "An Empirical Investigation of Continuous-Time Equity Return Models," Journal of Finance, American Finance Association, vol. 57(3), pages 1239-1284, 06.
  6. Ravi Bansal & A. Ronald Gallant & George Tauchen, 2007. "Rational Pessimism, Rational Exuberance, and Asset Pricing Models," NBER Working Papers 13107, National Bureau of Economic Research, Inc.

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