IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

No-arbitrage Near-Cointegrated VAR(p) Term Structure Models, Term Premia and GDP Growth

  • Caroline JARDET

    (Crest)

  • Alain MONFORT

    (Crest)

  • Fulvio PEGORARO

    (Crest)

Macroeconomic questions involving interest rates generally require a reliable joint dynamics of a large set of variables. More precisely, such a dynamic modelling must satisfy two important conditions. First, it must be able to propose reliable predictions of some key variables. Second, it must be able to propose a joint dynamics of some macroeconomic variables, of the whole curve of interest rates, of the whole set of term premia and, possibly, of various decompositions of the term premia. The first condition is required if we want to disentangle the respective impacts of, for instance, the expectation part of the term premium of a given long-term interest rate on some macroeconomic variable. The second condition is necessary if we want to analyze the interactions between macro-variables with some global features of the yield curve (short part, long part, level, slope and curvature) or with, for instance, term premia of various maturities. In the present paper we propose to satisfy both requirements by using a Near-Cointegrated modelling of basic observables variables, in order to meet the first condition, and the no-arbitrage theory, in order to meet the second one. Moreover, the dynamic interactions of this large set of variables is based on the statistical notion of New Information Response Function, recently introduced by Jardet, Monfort and Pegoraro (2009). This technical toolkit is then used to propose a new approach to two important issues: the "conundrum" episode and the puzzle of the relationship between the term premia on long-term yields and future economic activity.

(This abstract was borrowed from another version of this item.)

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.crest.fr/images/doctravail/2011-03.pdf
File Function: Crest working paper version
Download Restriction: no

Paper provided by Centre de Recherche en Economie et Statistique in its series Working Papers with number 2011-03.

as
in new window

Length: 36
Date of creation: 2011
Date of revision:
Handle: RePEc:crs:wpaper:2011-03
Contact details of provider: Postal: 15 Boulevard Gabriel Peri 92245 Malakoff Cedex
Phone: 01 41 17 60 81
Web page: http://www.crest.fr

More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. David K. Backus & Jonathan H. Wright, 2007. "Cracking the Conundrum," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 38(1), pages 293-329.
  2. Ben S. Bernanke & Vincent R. Reinhart & Brian P. Sack, 2004. "Monetary policy alternatives at the zero bound: an empirical assessment," Finance and Economics Discussion Series 2004-48, Board of Governors of the Federal Reserve System (U.S.).
  3. Erik Hjalmarsson & Pär Österholm, 2010. "Testing for cointegration using the Johansen methodology when variables are near-integrated: size distortions and partial remedies," Empirical Economics, Springer, vol. 39(1), pages 51-76, August.
  4. Serena Ng & Pierre Perron, 1997. "Lag Length Selection and the Construction of Unit Root Tests with Good Size and Power," Boston College Working Papers in Economics 369, Boston College Department of Economics, revised 01 Sep 2000.
  5. repec:cup:cbooks:9780521411462 is not listed on IDEAS
  6. Mikhail Chernov & Ruslan Bikbov, 2009. "Monetary Policy Regimes and the Term Structure of Interest Rates," 2009 Meeting Papers 334, Society for Economic Dynamics.
  7. Martin D. D. Evans, 2003. "Real risk, inflation risk, and the term structure," Economic Journal, Royal Economic Society, vol. 113(487), pages 345-389, 04.
  8. Dufour, Jean-Marie & King, Maxwell L., 1991. "Optimal invariant tests for the autocorrelation coefficient in linear regressions with stationary or nonstationary AR(1) errors," Journal of Econometrics, Elsevier, vol. 47(1), pages 115-143, January.
  9. 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.
  10. Hördahl, Peter & Tristani, Oreste & Vestin, David, 2007. "The yield curve and macroeconomic dynamics," Working Paper Series 0832, European Central Bank.
  11. Qiang Dai & Kenneth J. Singleton & Wei Yang, 2007. "Regime Shifts in a Dynamic Term Structure Model of U.S. Treasury Bond Yields," Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1669-1706, 2007 12.
  12. Andrew Ang & Geert Bekaert, 2004. "The term structure of real rates and expected inflation," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  13. Diebold, Francis X & Kilian, Lutz, 2000. "Unit-Root Tests Are Useful for Selecting Forecasting Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(3), pages 265-73, July.
  14. Sims, Christopher A & Uhlig, Harald, 1991. "Understanding Unit Rooters: A Helicopter Tour," Econometrica, Econometric Society, vol. 59(6), pages 1591-99, November.
  15. Ravi Bansal & George Tauchen & Hao Zhou, 2004. "Regime Shifts, Risk Premiums in the Term Structure, and the Business Cycle," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 396-409, October.
  16. Gourieroux, C & Monfort, A & Renault, E, 1993. "Indirect Inference," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages S85-118, Suppl. De.
  17. 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.
  18. Evans, G B A & Savin, N E, 1981. "Testing for Unit Roots: 1," Econometrica, Econometric Society, vol. 49(3), pages 753-79, May.
  19. Hansen, Bruce E., 2010. "Averaging estimators for autoregressions with a near unit root," Journal of Econometrics, Elsevier, vol. 158(1), pages 142-155, September.
  20. repec:fth:inseep:9944 is not listed on IDEAS
  21. James G. MacKinnon & Alfred A. Haug & Leo Michelis, 1996. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Working Papers 1996_07, York University, Department of Economics.
  22. L Giraitis & P C B Phillips, . "Uniform limit theory for stationary autoregression," Discussion Papers 05/23, Department of Economics, University of York.
  23. Campbell, John & Shiller, Robert, 1987. "Cointegration and Tests of Present Value Models," Scholarly Articles 3122490, Harvard University Department of Economics.
  24. Athanasios Orphanides & Min Wei, 2010. "Evolving macroeconomic perceptions and the term structure of interest rates," Finance and Economics Discussion Series 2010-01, Board of Governors of the Federal Reserve System (U.S.).
  25. G. William Schwert, 1988. "Tests For Unit Roots: A Monte Carlo Investigation," NBER Technical Working Papers 0073, National Bureau of Economic Research, Inc.
  26. Garcia, R. & Perron, P., 1990. "An Anlysis Of The Real Interest Rate Under Regime Shifts," Papers 353, Princeton, Department of Economics - Econometric Research Program.
  27. Michael D. Bauer, 2011. "Term premia and the news," Working Paper Series 2011-03, Federal Reserve Bank of San Francisco.
  28. Glenn D. Rudebusch & Eric T. Swanson, 2008. "The bond premium in a DSGE model with long-run real and nominal risks," Working Paper Research 143, National Bank of Belgium.
  29. Pesaran, H. Hashem & Shin, Yongcheol, 1998. "Generalized impulse response analysis in linear multivariate models," Economics Letters, Elsevier, vol. 58(1), pages 17-29, January.
  30. Robin Greenwood & Dimitri Vayanos, 2008. "Bond supply and excess bond returns," LSE Research Online Documents on Economics 24425, London School of Economics and Political Science, LSE Library.
  31. Jardet, C. & Monfort, A. & Pegoraro, F., 2009. "New Information Response Functions," Working papers 235, Banque de France.
  32. 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.
  33. Donald W. K. Andrews & Patrik Guggenberger, 2008. "Asymptotics for stationary very nearly unit root processes," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(1), pages 203-212, 01.
  34. Elliott, Graham, 1999. "Efficient Tests for a Unit Root When the Initial Observation Is Drawn from Its Unconditional Distribution," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(3), pages 767-83, August.
  35. Glenn D. Rudebusch & Eric T. Swanson, 2008. "Examining the bond premium puzzle with a DSGE model," Working Paper Series 2007-25, Federal Reserve Bank of San Francisco.
  36. Monfort, A. & Pegoraro, F., 2007. "Switching VARMA Term Structure Models - Extended Version," Working papers 191, Banque de France.
  37. Hans Dewachter & Marco Lyrio, 2008. "Learning, Macroeconomic Dynamics and the Term Structure of Interest Rates," NBER Chapters, in: Asset Prices and Monetary Policy, pages 191-245 National Bureau of Economic Research, Inc.
  38. Bikbov, Ruslan & Chernov, Mikhail, 2010. "No-arbitrage macroeconomic determinants of the yield curve," Journal of Econometrics, Elsevier, vol. 159(1), pages 166-182, November.
  39. DeJong, David N, et al, 1992. "Integration versus Trend Stationarity in Time Series," Econometrica, Econometric Society, vol. 60(2), pages 423-33, March.
  40. repec:cup:cbooks:9780521852258 is not listed on IDEAS
  41. 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.
  42. Peter C.B. Phillips & Tassos Magdalinos, 2004. "Limit Theory for Moderate Deviations from a Unit Root," Cowles Foundation Discussion Papers 1471, Cowles Foundation for Research in Economics, Yale University.
  43. Timmermann, Allan, 2006. "Forecast Combinations," Handbook of Economic Forecasting, Elsevier.
  44. Glenn D. Rudebusch & Eric T. Swanson & Tao Wu, 2006. "The Bond Yield "Conundrum" from a Macro-Finance Perspective," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 24(S1), pages 83-109, December.
  45. repec:cup:cbooks:9780521423083 is not listed on IDEAS
  46. Newey, Whitney K & West, Kenneth D, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Wiley Blackwell, vol. 61(4), pages 631-53, October.
  47. Gürkaynak, Refet S. & Wright, Jonathan, 2010. "Macroeconomics and the Term Structure," CEPR Discussion Papers 8018, C.E.P.R. Discussion Papers.
  48. Beechey, Meredith & Hjalmarsson, Erik & sterholm, Pr, 2009. "Testing the expectations hypothesis when interest rates are near integrated," Journal of Banking & Finance, Elsevier, vol. 33(5), pages 934-943, May.
  49. Kim, Don H. & Orphanides, Athanasios, 2005. "Term Structure Estimation with Survey Data on Interest Rate Forecasts," CEPR Discussion Papers 5341, C.E.P.R. Discussion Papers.
  50. Kugler, Peter, 1990. "The term structure of Euro interest rates and rational expectations," Journal of International Money and Finance, Elsevier, vol. 9(2), pages 234-244, June.
  51. Carlo Favero & Iryna Kaminska & Ulf Soderstrom, 2005. "The Predictive Power of the Yield Spread: Further Evidence and a Structural Interpretation," Working Papers 280, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  52. Phillips, Peter C B, 1988. "Regression Theory for Near-Integrated Time Series," Econometrica, Econometric Society, vol. 56(5), pages 1021-43, September.
  53. Gourieroux, Christian & Jasiak, Joanna, 1999. "Nonlinear innovations and impulse responses," CEPREMAP Working Papers (Couverture Orange) 9906, CEPREMAP.
  54. Glenn D. Rudebusch & Tao Wu, 2007. "Accounting for a Shift in Term Structure Behavior with No-Arbitrage and Macro-Finance Models," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2-3), pages 395-422, 03.
  55. Peter Hoerdahl & Oreste Tristani, 2004. "A joint econometric model of macroeconomic and term structure dynamics," Econometric Society 2004 North American Summer Meetings 379, Econometric Society.
  56. John Y. Campbell & Robert J. Shiller, 1989. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," NBER Working Papers 3153, National Bureau of Economic Research, Inc.
  57. Andrews, Donald W K, 1993. "Exactly Median-Unbiased Estimation of First Order Autoregressive/Unit Root Models," Econometrica, Econometric Society, vol. 61(1), pages 139-65, January.
  58. Gurkaynak, Refet S. & Sack, Brian & Wright, Jonathan H., 2007. "The U.S. Treasury yield curve: 1961 to the present," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2291-2304, November.
  59. MacKinnon, James G, 1996. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 601-18, Nov.-Dec..
  60. Marco Lyrio & Hans Dewachter & Konstantijn Maes, 2006. "A joint model for the term structure of interest rates and the macroeconomy," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(4), pages 439-462.
  61. Uhlig, Harald, 2005. "What are the effects of monetary policy on output? Results from an agnostic identification procedure," Journal of Monetary Economics, Elsevier, vol. 52(2), pages 381-419, March.
  62. Glenn D. Rudebusch & John C. Williams, 2007. "Forecasting recessions: the puzzle of the enduring power of the yield curve," Working Paper Series 2007-16, Federal Reserve Bank of San Francisco.
  63. Estrella, Arturo & Hardouvelis, Gikas A, 1991. " The Term Structure as a Predictor of Real Economic Activity," Journal of Finance, American Finance Association, vol. 46(2), pages 555-76, June.
  64. Meredith Beechey, 2006. "A closer look at the sensitivity puzzle: the sensitivity of expected future short rates and term premia to macroeconomic news," Finance and Economics Discussion Series 2007-06, Board of Governors of the Federal Reserve System (U.S.).
  65. Kenc, Turalay & John Driffill & Martin Sola, 2003. "An Empirical Examination of Term Structure Models with Regime Shifts," Royal Economic Society Annual Conference 2003 119, Royal Economic Society.
  66. Chernov, Mikhail & Mueller, Philippe, 2008. "The Term Structure of Inflation Expectations," CEPR Discussion Papers 6809, C.E.P.R. Discussion Papers.
  67. 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.
  68. 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.
  69. Taylor, Mark P, 1992. "Modelling the Yield Curve," Economic Journal, Royal Economic Society, vol. 102(412), pages 524-37, May.
  70. 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.
  71. Don H. Kim & Jonathan H. Wright, 2005. "An arbitrage-free three-factor term structure model and the recent behavior of long-term yields and distant-horizon forward rates," Finance and Economics Discussion Series 2005-33, Board of Governors of the Federal Reserve System (U.S.).
  72. Joyce, Michael & Lildholdt, Peter & Sorensen, Steffen, 2009. "Extracting inflation expectations and inflation risk premia from the term structure: a joint model of the UK nominal and real yield curves," Bank of England working papers 360, Bank of England.
  73. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July.
  74. Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
  75. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
  76. Luis Gil-Alana & Antonio Moreno, . "Uncovering the U.S. Term Premium: An Alternative Route," Faculty Working Papers 12/07, School of Economics and Business Administration, University of Navarra.
  77. Bénédicte Vidaillet & V. D'Estaintot & P. Abécassis, 2005. "Introduction," Post-Print hal-00287137, HAL.
  78. Shea, Gary S, 1992. "Benchmarking the Expectations Hypothesis of the Interest-Rate Term Structure: An Analysis of Cointegration Vectors," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 347-66, July.
  79. Wu, Tao, 2006. "Macro Factors and the Affine Term Structure of Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(7), pages 1847-1875, October.
  80. 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.
  81. Lawrence J. White, 2007. "Should Wal-Mart, Real Estate Brokers, and Banks Be in Bed Together? A Principles-Based Approach to the Issues of the Separation of Banking and Commerce," Working Papers 07-21, New York University, Leonard N. Stern School of Business, Department of Economics.
  82. Quintos, Carmela E & Phillips, Peter C B, 1993. "Parameter Constancy in Cointegrating Regressions," Empirical Economics, Springer, vol. 18(4), pages 675-706.
  83. Bruce E. Hansen, 2007. "Least Squares Model Averaging," Econometrica, Econometric Society, vol. 75(4), pages 1175-1189, 07.
  84. Dai, Qiang & Singleton, Kenneth J., 2002. "Expectation puzzles, time-varying risk premia, and affine models of the term structure," Journal of Financial Economics, Elsevier, vol. 63(3), pages 415-441, March.
  85. Alain Monfort & Fulvio Pegoraro, 2007. "Switching VARMA Term Structure Models," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 5(1), pages 105-153.
  86. Kemp, Gordon C.R., 1999. "The Behavior Of Forecast Errors From A Nearly Integrated Ar(1) Model As Both Sample Size And Forecast Horizon Become Large," Econometric Theory, Cambridge University Press, vol. 15(02), pages 238-256, April.
  87. René Garcia & Richard Luger, 2009. "Risk Aversion, Intertemporal Substitution, and the Term Structure of Interest Rates," CIRANO Working Papers 2009s-20, CIRANO.
  88. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  89. Erik Hjalmarsson & Par Osterholm, 2007. "Testing for cointegration using the Johansen methodology when variables are near-integrated," International Finance Discussion Papers 915, Board of Governors of the Federal Reserve System (U.S.).
  90. Ang, Andrew & Bekaert, Geert, 2002. "Short rate nonlinearities and regime switches," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1243-1274, July.
  91. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, March.
  92. Ravi Bansal & Hao Zhou, 2002. "Term Structure of Interest Rates with Regime Shifts," Journal of Finance, American Finance Association, vol. 57(5), pages 1997-2043, October.
  93. Michael Dotsey, 1998. "The predictive content of the interest rate term spread for future economic growth," Economic Quarterly, Federal Reserve Bank of Richmond, issue Sum, pages 31-51.
  94. Jansson, Michael & Haldrup, Niels, 2002. "Regression Theory For Nearly Cointegrated Time Series," Econometric Theory, Cambridge University Press, vol. 18(06), pages 1309-1335, December.
  95. Gregory R. Duffee, 2008. "Evidence on Simulation Inference for Near Unit-Root Processes with Implications for Term Structure Estimation," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 6(1), pages 108-142, Winter.
  96. Uhlig, Harald, 1994. "What Macroeconomists Should Know about Unit Roots: A Bayesian Perspective," Econometric Theory, Cambridge University Press, vol. 10(3-4), pages 645-671, August.
  97. Hansen, Bruce E., 2008. "Least-squares forecast averaging," Journal of Econometrics, Elsevier, vol. 146(2), pages 342-350, October.
  98. Lars Peter Hansen & Thomas J. Sargent, 2007. "Introduction to Robustness," Introductory Chapters, Princeton University Press.
  99. Gray, Stephen F., 1996. "Modeling the conditional distribution of interest rates as a regime-switching process," Journal of Financial Economics, Elsevier, vol. 42(1), pages 27-62, September.
  100. Elliott, Graham & Stock, James H., 2001. "Confidence intervals for autoregressive coefficients near one," Journal of Econometrics, Elsevier, vol. 103(1-2), pages 155-181, July.
  101. Ulrich K. M¸ller & Graham Elliott, 2003. "Tests for Unit Roots and the Initial Condition," Econometrica, Econometric Society, vol. 71(4), pages 1269-1286, 07.
  102. Gallant, A Ronald & Rossi, Peter E & Tauchen, George, 1993. "Nonlinear Dynamic Structures," Econometrica, Econometric Society, vol. 61(4), pages 871-907, July.
  103. DeJong, David N. & Nankervis, John C. & Savin, N. E. & Whiteman, Charles H., 1992. "The power problems of unit root test in time series with autoregressive errors," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 323-343.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:crs:wpaper:2011-03. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Florian Sallaberry)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.