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A New Framework for Yield Curve, Output and Inflation Relationships

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  • Leo Krippner

    ()
    (AMP Capital Investors)

Abstract

This article develops a theoretically-consistent and easy-to-apply framework for interpreting, investigating, and monitoring the relationships between the yield curve, output, and inflation. The framework predicts that steady-state inflation plus steady-state output growth should be cointegrated with the long-maturity level of the yield curve as estimated by a arbitrage-free version of the Nelson and Siegel (1987) model, while the shape of the yield curve model from that model should correspond to the profile (that is, the timing and magnitude) of expected future inflation and output growth. These predicted relationships are confirmed empirically using 51 years of United States data. The framework may be used for monitoring expectations of inflation and output growth implied by the yield curve. It should also provide a basis for using the yield curve to value and hedge derivatives on macroeconomic data.

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File URL: ftp://mngt.waikato.ac.nz/RePEc/wai/econwp/0507.pdf
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Bibliographic Info

Paper provided by University of Waikato, Department of Economics in its series Working Papers in Economics with number 05/07.

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Length: 27 pages
Date of creation: 08 Dec 2005
Date of revision:
Handle: RePEc:wai:econwp:05/07

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Related research

Keywords: yield curve; term structure of interest rates; inflation; real output growth; Nelson and Siegel model; Heath-Jarrow-Morton framework;

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References

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  1. Bernard, Henri & Gerlach, Stefan, 1998. "Does the Term Structure Predict Recessions? The International Evidence," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 3(3), pages 195-215, July.
  2. Diebold, Francis X. & Li, Canlin, 2006. "Forecasting the term structure of government bond yields," Journal of Econometrics, Elsevier, vol. 130(2), pages 337-364, February.
  3. James D. Hamilton & Dong Heon Kim, 2000. "A Re-examination of the Predictability of Economic Activity Using the Yield Spread," NBER Working Papers 7954, National Bureau of Economic Research, Inc.
  4. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January.
  5. Arturo Estrella, 2005. "Why Does the Yield Curve Predict Output and Inflation?," Economic Journal, Royal Economic Society, vol. 115(505), pages 722-744, 07.
  6. James G. MacKinnon, 1995. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Working Papers 918, Queen's University, Department of Economics.
  7. Paya, Ivan & Matthews, Kent & Peel, David, 2005. "The term spread and real economic activity in the US inter-war period," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 331-343, June.
  8. Nakaota, Hiroshi, 2005. "The term structure of interest rates in Japan: the predictability of economic activity," Japan and the World Economy, Elsevier, vol. 17(3), pages 311-326, August.
  9. Leo Krippner, 2006. "A Theoretically Consistent Version of the Nelson and Siegel Class of Yield Curve Models," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(1), pages 39-59.
  10. Jardet, Caroline, 2004. "Why did the term structure of interest rates lose its predictive power?," Economic Modelling, Elsevier, vol. 21(3), pages 509-524, May.
  11. Fahmy, Yasser A. F. & Kandil, Magda, 2003. "The Fisher effect: new evidence and implications," International Review of Economics & Finance, Elsevier, vol. 12(4), pages 451-465.
  12. Fang, Victor & Muljono, Ronny, 2003. "An empirical analysis of the Australian dollar swap spreads," Pacific-Basin Finance Journal, Elsevier, vol. 11(2), pages 153-173, April.
  13. Arturo Estrella & Anthony P. Rodrigues & Sebastian Schich, 2000. "How stable is the predictive power of the yield curve? evidence from Germany and the United States," Staff Reports 113, Federal Reserve Bank of New York.
  14. Buraschi, Andrea & Jiltsov, Alexei, 2005. "Inflation risk premia and the expectations hypothesis," Journal of Financial Economics, Elsevier, vol. 75(2), pages 429-490, February.
  15. 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.
  16. McCulloch, J Huston, 1971. "Measuring the Term Structure of Interest Rates," The Journal of Business, University of Chicago Press, vol. 44(1), pages 19-31, January.
  17. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-84, March.
  18. Pham, Toan M., 1998. "Estimation of the term structure of interest rates: an international perspective," Journal of Multinational Financial Management, Elsevier, vol. 8(2-3), pages 265-283, September.
  19. Rendu de Lint, Christel & Stolin, David, 2003. "The predictive power of the yield curve: a theoretical assessment," Journal of Monetary Economics, Elsevier, vol. 50(7), pages 1603-1622, October.
  20. Lai, Kon S., 2004. "On structural shifts and stationarity of the ex ante real interest rate," International Review of Economics & Finance, Elsevier, vol. 13(2), pages 217-228.
  21. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
  22. Mohamed Safouane Ben Aissa & Jamel Jouini, 2003. "Structural breaks in the US inflation process," Applied Economics Letters, Taylor & Francis Journals, vol. 10(10), pages 633-636.
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Cited by:
  1. Leo Krippner, 2006. "A Yield Curve Perspective on Uncovered Interest Parity," Working Papers in Economics 06/16, University of Waikato, Department of Economics.

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