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Affine Macroeconomic Models of the Term Structure of Interest Rates: The US Treasury Market 1961-99

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Peter Spencer
Abstract

This paper develops a macroeconomic model of the yield curve and uses this to explain the behaviour of the US Treasury market. Unlike previous macro-finance models which assume a homoscedastic error process, I develop a general affine model which allows volatility to be conditioned by interest rates and other macroeconomic variables. Despite the extensive use of stochastic volatility models in mainstream finance papers and the overwhelming evidence of heteroscedasticity in macroeconomic and asset price data this is the first macro-finance model of the bond market with this feature. My preferred empirical specification uses a single conditioning factor and is thus the macro-finance analogue of the EA1 (N) specification of the mainstream finance literature. This model performs well in encompassing tests that lead to a decisive rejection of the standard EA0(N) macro-finance specification. The resulting specification provides a flexible 10-factor explanation of the behaviour of the US yield curve, keying it in to the behaviour of the macroeconomy.

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File URL: http://www.york.ac.uk/depts/econ/documents/dp/0416.pdf
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Paper provided by Department of Economics, University of York in its series Discussion Papers with number 04/16.

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Date of creation: Jun 2004
Date of revision: Jan 2006
Handle: RePEc:yor:yorken:04/16

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Postal: Department of Economics and Related Studies, University of York, York, YO10 5DD, United Kingdom
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  1. Hans Dewachter & Marco Lyrio, 2003. "Macro Factors and the Term Structure of Interest Rates," International Economics Working Papers Series ces0304, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, International Economics. [Downloadable!]
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  2. Chan, K C, et al, 1992. " An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, American Finance Association, vol. 47(3), pages 1209-27, July. [Downloadable!] (restricted)
  3. Peter N Smith & Michael R Wickens, . "Asset Pricing with Observable Stochastic Discount Factors," Discussion Papers 02/03, Department of Economics, University of York. [Downloadable!]
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  4. Gong, Fangxiong & Remolona, Eli M, 1997. "Two Factors along the Yield Curve," The Manchester School of Economic & Social Studies, Blackwell Publishing, vol. 65(0), pages 1-31, Supplemen.
  5. 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. [Downloadable!] (restricted)
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  6. Gregory R. Duffee, 2002. "Term Premia and Interest Rate Forecasts in Affine Models," Journal of Finance, American Finance Association, vol. 57(1), pages 405-443, 02. [Downloadable!] (restricted)
  7. Glenn D. Rudebusch & Tao Wu, 2003. "A macro-finance model of the term structure, monetary policy, and the economy," Working Papers in Applied Economic Theory 2003-17, Federal Reserve Bank of San Francisco. [Downloadable!]
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  8. Friedman, Milton, 1977. "Nobel Lecture: Inflation and Unemployment," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 451-72, June. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. Federico M. Bandi & Peter C. B. Phillips, 2003. "Fully Nonparametric Estimation of Scalar Diffusion Models," Econometrica, Econometric Society, vol. 71(1), pages 241-283, January. [Downloadable!] (restricted)
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  11. Andrew Ang & Monika Piazzesi & Min Wei, 2003. "What does the yield curve tell us about GDP growth?," Proceedings, Federal Reserve Bank of San Francisco, issue Mar. [Downloadable!]
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  12. Glenn D. Rudebusch, 2002. "Assessing Nominal Income Rules for Monetary Policy with Model and Data Uncertainty," Economic Journal, Royal Economic Society, vol. 112(479), pages 402-432, April. [Downloadable!] (restricted)
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  13. Conley, Timothy G, et al, 1997. "Short-Term Interest Rates as Subordinated Diffusions," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 10(3), pages 525-77.
  14. Ait-Sahalia, Yacine, 1996. "Testing Continuous-Time Models of the Spot Interest Rate," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 9(2), pages 385-426. [Downloadable!] (restricted)
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