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A specification analysis of discrete-time no-arbitrage term structure models with observable and unobservable factors

  • Marcello, Pericoli
  • Marco, Taboga

We derive a canonical representation for the no-arbitrage discrete-time term structure models with both observable and unobservable state variables, popularized by Ang and Piazzesi (2003). We conduct a specification analysis based on this canonical representation. We show that some of the restrictions commonly imposed in the literature, most notably that of independence between observable and unobservable variables, are not necessary for identification and are rejected by formal statistical tests. Furthermore, we show that there are important differences between the estimated risk premia, impulse response functions and variance decomposition of unrestricted models, parametrized according to our canonical representation, and those of models with overidentifying restrictions.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 4969.

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Date of creation: Mar 2005
Date of revision: Sep 2007
Handle: RePEc:pra:mprapa:4969
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  1. Diebold, Francis X. & Piazzesi, Monica & Rudebusch, Glenn D., 2005. "Modeling bond yields in finance and macroeconomics," CFS Working Paper Series 2005/03, Center for Financial Studies (CFS).
  2. Arturo Estrella & Frederic S. Mishkin, 1995. "The term structure of interest rates and its role in monetary policy for the European Central Bank," Research Paper 9526, Federal Reserve Bank of New York.
  3. Favero, Carlo A. & Niu, Linlin & Sala, Luca, 2007. "Term Structure Forecasting: No-Arbitrage Restrictions vs Large Information Set," CEPR Discussion Papers 6206, C.E.P.R. Discussion Papers.
  4. Andrew Ang & Sen Dong & Monika Piazzesi, 2007. "No-Arbitrage Taylor Rules," NBER Working Papers 13448, National Bureau of Economic Research, Inc.
  5. Michael F. Gallmeyer & Burton Hollifield, 2005. "Taylor Rules, McCallum Rules and the Term Structure of Interest Rates," 2005 Meeting Papers 676, Society for Economic Dynamics.
  6. Andrew Ang & Monika Piazzesi & Min Wei, 2004. "What Does the Yield Curve Tell us about GDP Growth?," NBER Working Papers 10672, National Bureau of Economic Research, Inc.
  7. Tao Wu & Glenn Rudebusch, 2004. "A Macro-Finance Model of the Term Structure, Monetary Policy, and the Economy," 2004 Meeting Papers 104, Society for Economic Dynamics.
  8. Frederic S. Mishkin, 1988. "What Does the Term Structure Tell Us About Future Inflation?," NBER Working Papers 2626, National Bureau of Economic Research, Inc.
  9. Peter Hordahl & Oreste Tristani & David Vestin, 2004. "A joint econometric model of macroeconomic and term structure dynamics," Money Macro and Finance (MMF) Research Group Conference 2003 48, Money Macro and Finance Research Group.
  10. Diebold, Francis X. & Rudebusch, Glenn D. & Borag[caron]an Aruoba, S., 2006. "The macroeconomy and the yield curve: a dynamic latent factor approach," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 309-338.
  11. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
  12. Fama, Eugene F., 1990. "Term-structure forecasts of interest rates, inflation and real returns," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 59-76, January.
  13. Glenn D. Rudebusch & Brian P. Sack & Eric T. Swanson, 2006. "Macroeconomic implications of changes in the term premium," Working Paper Series 2006-46, Federal Reserve Bank of San Francisco.
  14. Knez, Peter J & Litterman, Robert & Scheinkman, Jose Alexandre, 1994. " Explorations into Factors Explaining Money Market Returns," Journal of Finance, American Finance Association, vol. 49(5), pages 1861-82, December.
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