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

Author

Listed:
  • Marcello, Pericoli
  • Marco, Taboga

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.

Suggested Citation

  • Marcello, Pericoli & Marco, Taboga, 2005. "A specification analysis of discrete-time no-arbitrage term structure models with observable and unobservable factors," MPRA Paper 4969, University Library of Munich, Germany, revised Sep 2007.
  • Handle: RePEc:pra:mprapa:4969
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    File URL: https://mpra.ub.uni-muenchen.de/4969/1/MPRA_paper_4969.pdf
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    References listed on IDEAS

    as
    1. Francis X. Diebold & Monika Piazzesi & Glenn D. Rudebusch, 2005. "Modeling Bond Yields in Finance and Macroeconomics," American Economic Review, American Economic Association, vol. 95(2), pages 415-420, May.
    2. Hordahl, Peter & Tristani, Oreste & Vestin, David, 2006. "A joint econometric model of macroeconomic and term-structure dynamics," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 405-444.
    3. 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.
    4. Mishkin, Frederic S., 1990. "What does the term structure tell us about future inflation?," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 77-95, January.
    5. 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.
    6. Ang, Andrew & Piazzesi, Monika & Wei, Min, 2006. "What does the yield curve tell us about GDP growth?," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 359-403.
    7. GlennD. Rudebusch & Tao Wu, 2008. "A Macro-Finance Model of the Term Structure, Monetary Policy and the Economy," Economic Journal, Royal Economic Society, vol. 118(530), pages 906-926, July.
    8. Glenn D. Rudebusch & Brian P. Sack & Eric T. Swanson, 2007. "Macroeconomic implications of changes in the term premium," Review, Federal Reserve Bank of St. Louis, issue Jul, pages 241-270.
    9. Andrew Ang & Sen Dong & Monika Piazzesi, 2005. "No-arbitrage Taylor rules," Proceedings, Federal Reserve Bank of San Francisco.
    10. 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.
    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 1861-1882, December.
    12. 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.
    13. 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.
    14. 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.
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    More about this item

    Keywords

    Term structure; canonical models;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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