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Extracting inflation expectations from the term structure: the Fisher equation in a multivariate SDF framework

  • Hiona Balfoussia

    (University of York, UK)

  • Mike Wickens

We propose a new way of extracting inflation information from the term structure, by setting the Fisher equation in the context of the stochastic discount factor (SDF) asset pricing theory. We develop a multivariate estimation framework which models the term structure of interest rates in a manner consistent with the SDF theory while generating and including an often omitted time varying risk component in the Fisher equation. The joint distribution of excess bond returns and fundamental macroeconomic factors is modelled on the basis of the consumption CAPM, using multivariate GARCH with conditional covariances in the mean to capture the term premia. We apply this methodology to the US economy and find it offers substantial evidence in support of the Fisher equation, greatly improving its goodness of fit at horizons of up to one year. Copyright © 2006 John Wiley & Sons, Ltd.

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File URL: http://hdl.handle.net/10.1002/ijfe.297
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Article provided by John Wiley & Sons, Ltd. in its journal International Journal of Finance & Economics.

Volume (Year): 11 (2006)
Issue (Month): 3 ()
Pages: 261-277

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Handle: RePEc:ijf:ijfiec:v:11:y:2006:i:3:p:261-277
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  1. Jacobs, Mike & Remolona, Eli & Wickens, Michael R., 1998. "What was the Market's View of UK Monetary Policy? Estimating Inflation Risk and Expected Inflation with Indexed Bonds," CEPR Discussion Papers 2022, C.E.P.R. Discussion Papers.
  2. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
  3. James H. Stock & Mark W. Watson, 2001. "Forecasting Output and Inflation: The Role of Asset Prices," NBER Working Papers 8180, National Bureau of Economic Research, Inc.
  4. John H. Cochrane & Monika Piazzesi, 2005. "Bond Risk Premia," American Economic Review, American Economic Association, vol. 95(1), pages 138-160, March.
  5. 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.
  6. Martin D.D. Evans & Karen K. Lewis, 1993. "Do Expected Shifts in Inflation Affect Estimates of the Long-Run Fisher Relation?," Working Papers 93-06, New York University, Leonard N. Stern School of Business, Department of Economics.
  7. 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.
  8. Hardouvelis, Gikas A & Malliaropoulos, Dimitrios, 2004. "The Yield Spread as a Symmetric Predictor of Output and Inflation," CEPR Discussion Papers 4314, C.E.P.R. Discussion Papers.
  9. 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.
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