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The term structure of real rates and expected inflation

  • Andrew Ang
  • Geert Bekaert

Changes in nominal interest rates must be due to either movements in real interest rates or expected inflation, or both. We develop a term structure model with regime switches, time-varying prices of risk and inflation to identify these components of the nominal yield curve. We find that the unconditional real rate curve is fairly flat at 1.44%, but slightly humped. In one regime, the real term structure is steeply downward sloping. Real rates (nominal rates) are pro-cyclical (counter-cyclical) and inflation is negatively correlated with real rates. An inflation risk premium that increases with the horizon fully accounts for the generally upward sloping nominal term structure. We find that expected inflation drives about 80% of the variation of nominal yields at both short and long maturities, but during normal times, all of the variation of nominal term spreads is due to expected inflation and inflation risk.

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Volume (Year): (2004)
Issue (Month): Mar ()
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Handle: RePEc:fip:fedfpr:y:2004:i:mar:x:3
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  1. Garcia, R. & Perron, P., 1994. "An Analysis of the Real Interest rate Under Regime Shifts," Cahiers de recherche 9428, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  2. Timmermann, Allan, 2000. "Moments of Markov switching models," Journal of Econometrics, Elsevier, vol. 96(1), pages 75-111, May.
  3. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 33(1), pages 125-132.
  4. 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.
  5. 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.
  6. Fama, Eugene F, 1975. "Short-Term Interest Rates as Predictors of Inflation," American Economic Review, American Economic Association, vol. 65(3), pages 269-82, June.
  7. Mishkin, Frederic S., 1990. "What does the term structure tell us about future inflation?," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 77-95, January.
  8. Jacob Boudoukh & Matthew Richardson & Tom Smith & Robert Whitelaw, 1999. "Regime Shifts and Bond Returns," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-010, New York University, Leonard N. Stern School of Business-.
  9. 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.
  10. Shiller, Robert & Campbell, John, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," Scholarly Articles 3221490, Harvard University Department of Economics.
  11. Robert Mundell, 1963. "Inflation and Real Interest," Journal of Political Economy, University of Chicago Press, vol. 71, pages 280.
  12. Andrew Ang & Sen Dong & Monika Piazzesi, 2005. "No-arbitrage Taylor rules," Proceedings, Federal Reserve Bank of San Francisco.
  13. Martin Evans, 2002. "Real Risk, Inflation Risk, and the Term Structure," Working Papers gueconwpa~02-02-10, Georgetown University, Department of Economics.
  14. Pennacchi, George G, 1991. "Identifying the Dynamics of Real Interest Rates and Inflation: Evidence Using Survey Data," Review of Financial Studies, Society for Financial Studies, vol. 4(1), pages 53-86.
  15. Thomas Laubach & John C. Williams, 2001. "Measuring the natural rate of interest," Finance and Economics Discussion Series 2001-56, Board of Governors of the Federal Reserve System (U.S.).
  16. 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.
  17. Huizinga, John & Mishkin, Frederic S., 1986. "Monetary policy regime shifts and the unusual behavior of real interest rates," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 24(1), pages 231-274, January.
  18. Bekaert, Geert & Harvey, Campbell R., 1997. "Emerging equity market volatility," Journal of Financial Economics, Elsevier, vol. 43(1), pages 29-77, January.
  19. Seonghoon Cho & Antonio Moreno, 2003. "A Structural Estimation and Interpretation of the New Keynesian Macro Model," Faculty Working Papers 14/03, School of Economics and Business Administration, University of Navarra.
  20. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March.
  21. Barr, David & Campbell, John, 1997. "Inflation, Real Interest Rates, and the Bond Market: A Study of UK Nominal and Index-Linked Government Bond Prices," Scholarly Articles 3163261, Harvard University Department of Economics.
  22. Martin D. D. Evans, 1998. "Real Rates, Expected Inflation, and Inflation Risk Premia," Journal of Finance, American Finance Association, vol. 53(1), pages 187-218, 02.
  23. Yacine Ait-Sahalia, 1995. "Testing Continuous-Time Models of the Spot Interest Rate," NBER Working Papers 5346, National Bureau of Economic Research, Inc.
  24. Qiang Dai & Kenneth J. Singleton, 2000. "Specification Analysis of Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 55(5), pages 1943-1978, October.
  25. Evans, Martin D D & Lewis, Karen K, 1995. " Do Expected Shifts in Inflation Affect Estimates of the Long-Run Fisher Relation?," Journal of Finance, American Finance Association, vol. 50(1), pages 225-53, March.
  26. 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.
  27. Fama, Eugene F., 1990. "Term-structure forecasts of interest rates, inflation and real returns," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 59-76, January.
  28. Eli M. Remolona & Michael R. Wickens & Frank F. Gong, 1998. "What was the market's view of U.K. monetary policy? Estimating inflation risk and expected inflation with indexed bonds," Staff Reports 57, Federal Reserve Bank of New York.
  29. Stock, James H. & Watson, Mark W., 1999. "Forecasting inflation," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 293-335, October.
  30. Martin Evans & Paul Wachtel, 1993. "Inflation regimes and the sources of inflation uncertainty," Proceedings, Federal Reserve Bank of Cleveland, pages 475-520.
  31. Rose, Andrew Kenan, 1988. " Is the Real Interest Rate Stable?," Journal of Finance, American Finance Association, vol. 43(5), pages 1095-1112, December.
  32. John H. Cochrane & Monika Piazzesi, 2002. "Bond Risk Premia," NBER Working Papers 9178, National Bureau of Economic Research, Inc.
  33. Jean Boivin, 2005. "Has US Monetary Policy Changed? Evidence from Drifting Coefficients and Real-Time Data," NBER Working Papers 11314, National Bureau of Economic Research, Inc.
  34. Fama, Eugene F. & Gibbons, Michael R., 1982. "Inflation, real returns and capital investment," Journal of Monetary Economics, Elsevier, vol. 9(3), pages 297-323.
  35. Timothy Cogley & Thomas Sargent, . "Drifts and Volatilities: Monetary Policies and Outcomes in the Post WWII US," Working Papers 2133503, Department of Economics, W. P. Carey School of Business, Arizona State University.
  36. Marshall, David A, 1992. " Inflation and Asset Returns in a Monetary Economy," Journal of Finance, American Finance Association, vol. 47(4), pages 1315-42, September.
  37. Camilla LandÊn, 2000. "Bond pricing in a hidden Markov model of the short rate," Finance and Stochastics, Springer, vol. 4(4), pages 371-389.
  38. Ang, Andrew & Bekaert, Geert, 2002. "Regime Switches in Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 163-82, April.
  39. Refet S. Gürkaynak & Brian Sack & Eric Swanson, 2003. "The excess sensitivity of long-term interest rates: evidence and implications for macroeconomic models," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  40. Jacob Boudoukh, 1993. "An equilibrium model of nominal bond prices with inflation-output correlation and stochastic volatility," Proceedings, Federal Reserve Bank of Cleveland, pages 636-680.
  41. Timothy Cogley & Thomas Sargent, . "Evolving Post-World War II U.S. Inflation Dynamics," Working Papers 2132872, Department of Economics, W. P. Carey School of Business, Arizona State University.
  42. Mishkin, Frederic S, 1990. "The Information in the Longer Maturity Term Structure about Future Inflation," The Quarterly Journal of Economics, MIT Press, vol. 105(3), pages 815-28, August.
  43. Ben S. Bernanke & Ilian Mihov, 1995. "Measuring Monetary Policy," NBER Working Papers 5145, National Bureau of Economic Research, Inc.
  44. Lars Peter Hansen & Ravi Jagannathan, 1994. "Assessing Specification Errors in Stochastic Discount Factor Models," NBER Technical Working Papers 0153, National Bureau of Economic Research, Inc.
  45. Pietro Veronesi & Francis Yared, 1999. "Short and Long Horizon Term and Inflation Risk Premia in the US Term Structure: Evidence from an Integrated Model for Nominal and Real Bond Prices under Regime Shifts," CRSP working papers 508, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  46. Sola, Martin & Driffill, John, 1994. "Testing the term structure of interest rates using a stationary vector autoregression with regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 18(3-4), pages 601-628.
  47. Burmeister, Edwin & Wall, Kent D & Hamilton, James D, 1986. "Estimation of Unobserved Expected Monthly Inflation Using Kalman Filtering," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(2), pages 147-60, April.
  48. Geert Bekaert & Robert J. Hodrick & David A. Marshall, 1997. ""Peso problem" explanations for term structure anomalies," Working Paper Series, Issues in Financial Regulation WP-97-07, Federal Reserve Bank of Chicago.
  49. 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.
  50. Hamilton, James D., 1988. "Rational-expectations econometric analysis of changes in regime : An investigation of the term structure of interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 385-423.
  51. Hamilton, James D, 1985. "Uncovering Financial Market Expectations of Inflation," Journal of Political Economy, University of Chicago Press, vol. 93(6), pages 1224-41, December.
  52. 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.
  53. Qiang Dai & Kenneth Singleton, 2003. "Term Structure Dynamics in Theory and Reality," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 631-678, July.
  54. Boudoukh, Jacob, 1993. "An Equilibrium Model of Nominal Bond Prices with Inflation-Output Correlation and Stochastic Volatility," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 25(3), pages 636-65, August.
  55. 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.
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