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Interest Rates with Long Memory: A Generalized Affine Term-Structure Model

  • Daniela Osterrieder

    ()

    (Aarhus University and CREATES)

Registered author(s):

    We propose a model for the term structure of interest rates that is a generalization of the discrete-time, Gaussian, affine yield-curve model. Compared to standard affine models, our model allows for general linear dynamics in the vector of state variables. In an application to real yields of U.S. government bonds, we model the time series of the state vector by means of a co-fractional vector autoregressive model. The implication is that yields of all maturities exhibit nonstationary, yet mean-reverting, long-memory behavior of the order d ˜ 0.87. The long-run dynamics of the state vector are driven by a level, a slope, and a curvature factor that arise naturally from the co-fractional modeling framework. We show that implied yields match the level and the variability of yields well over time. Studying the out-of-sample forecasting accuracy of our model, we find that our model results in good yield forecasts that outperform several benchmark models, especially at long forecasting horizons.

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    File URL: ftp://ftp.econ.au.dk/creates/rp/13/rp13_17.pdf
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    Paper provided by School of Economics and Management, University of Aarhus in its series CREATES Research Papers with number 2013-17.

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    Length: 46
    Date of creation: 05 2013
    Date of revision:
    Handle: RePEc:aah:create:2013-17
    Contact details of provider: Web page: http://www.econ.au.dk/afn/

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    1. Russell Davidson & Emmanuel Flachaire, 2000. "The Wild Bootstrap, Tamed at Last," Econometric Society World Congress 2000 Contributed Papers 1413, Econometric Society.
    2. Orphanides, Athanasios & Wei, Min, 2012. "Evolving macroeconomic perceptions and the term structure of interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 36(2), pages 239-254.
    3. Shea, Gary S, 1991. "Uncertainty and Implied Variance Bounds in Long-Memory Models of the Interest Rate Term Structure," Empirical Economics, Springer, vol. 16(3), pages 287-312.
    4. Athanasios Orphanides & Don H. Kim, 2005. "Term Structure Estimation with Survey Data on Interest Rate Forecasts," Computing in Economics and Finance 2005 474, Society for Computational Economics.
    5. Glenn Rudebusch & Tao Wu, 2004. "A macro-finance model of the term structure, monetary policy, and the economy," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
    6. Francis X. Diebold & Canlin Li, 2003. "Forecasting the Term Structure of Government Bond Yields," NBER Working Papers 10048, National Bureau of Economic Research, Inc.
    7. Jardet, C. & Monfort, A. & Pegoraro, F., 2009. "No-arbitrage Near-Cointegrated VAR(p) Term Structure Models, Term Premia and GDP Growth," Working papers 234, Banque de France.
    8. 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.
    9. Sharon Kozicki & P.A.Tinsley, 2001. "What do you expect? : imperfect policy credibility and tests of the expectations hypothesis?," Research Working Paper RWP 01-02, Federal Reserve Bank of Kansas City.
    10. Hans Dewachter, 2004. "Macro factors and the term structure of interest rates," Money Macro and Finance (MMF) Research Group Conference 2003 25, Money Macro and Finance Research Group.
    11. John H. Cochrane & Monika Piazzesi, 2005. "Bond Risk Premia," American Economic Review, American Economic Association, vol. 95(1), pages 138-160, March.
    12. James G. MacKinnon & Morten Ørregaard Nielsen, 2010. "Numerical distribution functions of fractional unit root and cointegration tests," CREATES Research Papers 2010-59, School of Economics and Management, University of Aarhus.
    13. Gonzalo, J. & Ng, S., 1996. "A Systematic Framework for Analyzing the Dynamic Effects of Permanent and Transitory Shocks," Cahiers de recherche 9603, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    14. Jens H. E. Christensen & Francis X. Diebold & Glenn D. Rudebusch, 2007. "The Affine Arbitrage-Free Class of: Nelson-Siegel Term Structure Models," NBER Working Papers 13611, National Bureau of Economic Research, Inc.
    15. Morten Ørregaard Nielsen & Lealand Morin, 2014. "FCVARmodel.m: A Matlab software package for estimation and testing in the fractionally cointegrated VAR model," Working Papers 1273, Queen's University, Department of Economics.
    16. Morten Ørregaard Nielsen, 2009. "Nonparametric Cointegration Analysis of Fractional Systems With Unknown Integration Orders," CREATES Research Papers 2009-02, School of Economics and Management, University of Aarhus.
    17. Diebold, Francis X. & Inoue, Atsushi, 2001. "Long memory and regime switching," Journal of Econometrics, Elsevier, vol. 105(1), pages 131-159, November.
    18. Fama, Eugene F & Bliss, Robert R, 1987. "The Information in Long-Maturity Forward Rates," American Economic Review, American Economic Association, vol. 77(4), pages 680-92, September.
    19. Giuseppe Cavaliere & Anders Rahbek & A.M.Robert Taylor, 2008. "Testing for Co-integration in Vector Autoregressions with Non-Stationary Volatility," CREATES Research Papers 2008-50, School of Economics and Management, University of Aarhus.
    20. Chen, Willa W. & Hurvich, Clifford M., 2003. "Semiparametric Estimation of Multivariate Fractional Cointegration," Journal of the American Statistical Association, American Statistical Association, vol. 98, pages 629-642, January.
    21. Kozicki, Sharon & Tinsley, P. A., 2001. "Term structure views of monetary policy under alternative models of agent expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 25(1-2), pages 149-184, January.
    22. Monika Piazzesi & Martin Schneider, 2007. "Equilibrium Yield Curves," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 389-472 National Bureau of Economic Research, Inc.
    23. Søren Johansen & Morten Ørregaard Nielsen, 2010. "Likelihood Inference for a Fractionally Cointegrated Vector Autoregressive Model," Discussion Papers 10-15, University of Copenhagen. Department of Economics.
    24. Darrell Duffie & Rui Kan, 1996. "A Yield-Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406.
    25. Francis X. Diebold & Glenn D. Rudebusch & S. Boragan Aruoba, 2004. "The Macroeconomy and the Yield Curve: A Dynamic Latent Factor Approach," NBER Working Papers 10616, National Bureau of Economic Research, Inc.
    26. Gürkaynak, Refet S. & Wright, Jonathan, 2010. "Macroeconomics and the Term Structure," CEPR Discussion Papers 8018, C.E.P.R. Discussion Papers.
    27. Amit Goval & Ivo Welch, 2004. "A Comprehensive Look at the Empirical Performance of Equity Premium Prediction," NBER Working Papers 10483, National Bureau of Economic Research, Inc.
    28. Chen, Willa W. & Hurvich, Clifford M., 2003. "Estimating fractional cointegration in the presence of polynomial trends," Journal of Econometrics, Elsevier, vol. 117(1), pages 95-121, November.
    29. Fabrizio Iacone, 2009. "A Semiparametric Analysis of the Term Structure of the US Interest Rates," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 71(4), pages 475-490, 08.
    30. Gil-Alana, Luis A. & Moreno, Antonio, 2012. "Uncovering the US term premium: An alternative route," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 1181-1193.
    31. Don H Kim & Athanasios Orphanides, 2007. "The bond market term premium: what is it, and how can we measure it?," BIS Quarterly Review, Bank for International Settlements, June.
    32. Marc Henry & Paolo Zaffaroni, 2002. "The long range dependence paradigm for macroeconomics and finance," Discussion Papers 0102-19, Columbia University, Department of Economics.
    33. Engsted, Tom & Tanggaard, Carsten, 1994. "Cointegration and the US term structure," Journal of Banking & Finance, Elsevier, vol. 18(1), pages 167-181, January.
    34. Peter C. Schotman & Rolf Tschernig & Jan Budek, 2008. "Long Memory and the Term Structure of Risk," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 6(4), pages 459-495, Fall.
    35. Michael D. Bauer, 2011. "Term premia and the news," Working Paper Series 2011-03, Federal Reserve Bank of San Francisco.
    36. Brown, Roger H. & Schaefer, Stephen M., 1994. "The term structure of real interest rates and the Cox, Ingersoll, and Ross model," Journal of Financial Economics, Elsevier, vol. 35(1), pages 3-42, February.
    37. Eric Hillebrand & Huiyu Huang & Tae-Hwy Lee & Canlin Li, 2011. "Using the Yield Curve in Forecasting Output Growth and In?flation," CREATES Research Papers 2012-17, School of Economics and Management, University of Aarhus.
    38. Hall, Anthony D & Anderson, Heather M & Granger, Clive W J, 1992. "A Cointegration Analysis of Treasury Bill Yields," The Review of Economics and Statistics, MIT Press, vol. 74(1), pages 116-26, February.
    39. Sharon Kozicki & P.A. Tinsley, 1997. "Shifting endpoints in the term structure of interest rates," Research Working Paper 97-08, Federal Reserve Bank of Kansas City.
    40. D Marinucci & Peter Robinson, 2001. "Narrow-band analysis of nonstationary processes," LSE Research Online Documents on Economics 2015, London School of Economics and Political Science, LSE Library.
    41. D. Marinucci & Peter M. Robinson, 2001. "Narrow-band analysis of nonstationary processes," LSE Research Online Documents on Economics 303, London School of Economics and Political Science, LSE Library.
    42. Johansen, SØren, 2008. "A Representation Theory For A Class Of Vector Autoregressive Models For Fractional Processes," Econometric Theory, Cambridge University Press, vol. 24(03), pages 651-676, June.
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