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Macro factors and the affine term structure of interest rates

  • Tao Wu
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    I formulate an affine term structure model of bond yields from a general equilibrium business-cycle model, with observable macro state variables of the structural economy as the factors. The factor representing monetary policy is strongly mean-reverting, and its influence on the term structure is primarily through changing the slope of the yield curve. The factor representing technology is more persistent, and it affects the term structure by shifting the level of the yield curve. The dynamic implications of the model for the macro economy and the term structure are consistent with the broad empirical patterns. From simulation studies of the macro-factor model I can extract the "level" and "slope" factors, similar to the ones extracted from the empirical term structure estimations. Simulation studies also show that the movement of the "slope" factor is primarily driven by the monetary-policy innovations, and the changes of the "level" factor is more closely associated with the aggregate-supply shocks from the private sector.

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    Paper provided by Federal Reserve Bank of San Francisco in its series Working Paper Series with number 2002-06.

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    Date of creation: 2001
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    Handle: RePEc:fip:fedfwp:2002-06
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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.
    2. 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.
    3. Richard Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," NBER Working Papers 6442, National Bureau of Economic Research, Inc.
    4. Epstein, Larry G. & Zin, Stanley E., 2001. "The independence axiom and asset returns," Journal of Empirical Finance, Elsevier, vol. 8(5), pages 537-572, December.
    5. Sims, Christopher A., 1992. "Interpreting the macroeconomic time series facts : The effects of monetary policy," European Economic Review, Elsevier, vol. 36(5), pages 975-1000, June.
    6. Tao Wu, 2003. "Stylized facts on nominal term structure and business cycles: an empirical VAR study," Applied Economics, Taylor & Francis Journals, vol. 35(8), pages 901-906.
    7. 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.
    8. Sun, Tong-sheng, 1992. "Real and Nominal Interest Rates: A Discrete-Time Model and Its Continuous-Time Limit," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 581-611.
    9. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
    10. Chapman, David A., 1997. "The cyclical properties of consumption growth and the real term structure," Journal of Monetary Economics, Elsevier, vol. 39(2), pages 145-172, July.
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    12. 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.
    13. Knez, Peter J & Litterman, Robert & Scheinkman, Jose Alexandre, 1994. " Explorations into Factors Explaining Money Market Returns," Journal of Finance, American Finance Association, vol. 49(5), pages 1861-82, December.
    14. Ben S. Bernanke & Alan S. Blinder, 1989. "The federal funds rate and the channels of monetary transmission," Working Papers 89-10, Federal Reserve Bank of Philadelphia.
    15. den Haan, Wouter J., 1995. "The term structure of interest rates in real and monetary economies," Journal of Economic Dynamics and Control, Elsevier, vol. 19(5-7), pages 909-940.
    16. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    17. Kim, Jinill, 2000. "Constructing and estimating a realistic optimizing model of monetary policy," Journal of Monetary Economics, Elsevier, vol. 45(2), pages 329-359, April.
    18. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    19. Longstaff, Francis A & Schwartz, Eduardo S, 1992. " Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model," Journal of Finance, American Finance Association, vol. 47(4), pages 1259-82, September.
    20. 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.
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