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

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Author Info
Marcello, Pericoli
Marco, Taboga

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Abstract

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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Keywords: Term structure canonical models

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G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

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  1. 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. [Downloadable!] (restricted)
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  2. 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. [Downloadable!]
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  3. Andrew Ang & Sen Dong & Monika Piazzesi, 2005. "No-arbitrage Taylor rules," Proceedings, Federal Reserve Bank of San Francisco. [Downloadable!]
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  4. Frederic S. Mishkin, 1990. "What Does the Term Structure Tell Us About Future Inflation?," NBER Working Papers 2626, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  5. Andrew Ang & Monika Piazzesi & Min Wei, 2003. "What does the yield curve tell us about GDP growth?," Proceedings, Federal Reserve Bank of San Francisco, issue Mar. [Downloadable!]
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  6. Gallmeyer, Michael F. & Hollifield, Burton & Zin, Stanley E., 2005. "Taylor rules, McCallum rules and the term structure of interest rates," Journal of Monetary Economics, Elsevier, vol. 52(5), pages 921-950, July. [Downloadable!] (restricted)
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  7. 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. [Downloadable!] (restricted)
  8. Hordahl, Peter & Tristani, Oreste & Vestin, David, 2006. "A joint econometric model of macroeconomic and term-structure dynamics," Journal of Econometrics, Elsevier, vol. 127(1-2), pages 405-444. [Downloadable!] (restricted)
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  9. 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. [Downloadable!]
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  10. Andrew Ang & Monika Piazzesi, 2001. "A No-Arbitrage Vector Autoregression of Term Structure Dynamics with Macroeconomic and Latent Variables," NBER Working Papers 8363, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. 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. [Downloadable!] (restricted)
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