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Estimating real and nominal term structures using Treasury yields, inflation, inflation forecasts, and inflation swap rates

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Listed:
  • Joseph G. Haubrich
  • George Pennacchi
  • Peter H. Ritchken

Abstract

This paper develops and estimates an equilibrium model of the term structures of nominal and real interest rates. The term structures are driven by state variables that include the short term real interest rate, expected inflation, a factor that models the changing level to which inflation is expected to revert, as well as four volatility factors that follow GARCH processes. We derive analytical solutions for the prices of nominal bonds, inflation-indexed bonds that have an indexation lag, the term structure of expected inflation, and inflation swap rates. The model parameters are estimated using data on nominal Treasury yields, survey forecasts of inflation, and inflation swap rates. We find that allowing for GARCH effects is particularly important for real interest rate and expected inflation processes, but that long–horizon real and inflation risk premia are relatively stable. Comparing our model prices of inflation-indexed bonds to those of Treasury Inflation Protected Securities (TIPS) suggests that TIPS were underpriced prior to 2004 but subsequently were valued fairly. We find that unexpected increases in both short run and longer run inflation implied by our model have a negative impact on stock market returns.

Suggested Citation

  • Joseph G. Haubrich & George Pennacchi & Peter H. Ritchken, 2008. "Estimating real and nominal term structures using Treasury yields, inflation, inflation forecasts, and inflation swap rates," Working Paper 0810, Federal Reserve Bank of Cleveland.
  • Handle: RePEc:fip:fedcwp:0810
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    References listed on IDEAS

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    Cited by:

    1. Olivier Coibion & Yuriy Gorodnichenko, 2015. "Is the Phillips Curve Alive and Well after All? Inflation Expectations and the Missing Disinflation," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(1), pages 197-232, January.
    2. John Y. Campbell & Robert J. Shiller & Luis M. Viceira, 2009. "Understanding Inflation-Indexed Bond Markets," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 40(1 (Spring), pages 79-138.
    3. Hatcher, Michael, 2013. "The Inflation Risk Premium on Government Debt in an Overlapping Generations Model," SIRE Discussion Papers 2013-81, Scottish Institute for Research in Economics (SIRE).
    4. Marcello Pericoli, 2012. "Expected inflation and inflation risk premium in the euro area and in the United States," Temi di discussione (Economic working papers) 842, Bank of Italy, Economic Research and International Relations Area.
    5. Olivier Coibion & Yuriy Gorodnichenko, 2015. "Information Rigidity and the Expectations Formation Process: A Simple Framework and New Facts," American Economic Review, American Economic Association, vol. 105(8), pages 2644-2678, August.
    6. Grishchenko, Olesya V., 2011. "Asset pricing in the production economy subject to monetary shocks," Journal of Economics and Business, Elsevier, vol. 63(3), pages 187-216, May.
    7. Francesca Rondina, 2018. "Estimating Unobservable Inflation Expectations in the New Keynesian Phillips Curve," Econometrics, MDPI, Open Access Journal, vol. 6(1), pages 1-20, February.
    8. Glenn D. Rudebusch, 2010. "Macro-Finance Models Of Interest Rates And The Economy," Manchester School, University of Manchester, vol. 78(s1), pages 25-52, September.
    9. Marcello Pericoli, 2014. "Real Term Structure and Inflation Compensation in the Euro Area," International Journal of Central Banking, International Journal of Central Banking, vol. 10(1), pages 1-42, March.
    10. Nath, Golaka, 2012. "Estimating term structure changes using principal component analysis in Indian sovereign bond market," MPRA Paper 39229, University Library of Munich, Germany.
    11. Kajuth, Florian & Watzka, Sebastian, 2011. "Inflation expectations from index-linked bonds: Correcting for liquidity and inflation risk premia," The Quarterly Review of Economics and Finance, Elsevier, vol. 51(3), pages 225-235, June.
    12. Golbeck, Steven & Linetsky, Vadim, 2013. "Asset financing with credit risk," Journal of Banking & Finance, Elsevier, vol. 37(1), pages 43-59.
    13. Michał Brzoza-Brzezina & Jacek Kotłowski, 2014. "Measuring the natural yield curve," Applied Economics, Taylor & Francis Journals, vol. 46(17), pages 2052-2065, June.
    14. Marcello Pericoli, 2013. "Macroeconomic and monetary policy surprises and the term structure of interest rates," Temi di discussione (Economic working papers) 927, Bank of Italy, Economic Research and International Relations Area.
    15. João Caldeira & Luiz Furlani, 2011. "Break-even inflation rate and the risk premium: an alternative approach to the VAR models in forecasting the CPI," Economics Bulletin, AccessEcon, vol. 31(2), pages 1379-1390.
    16. Geert Bekaert & Xiaozheng Wang, 2010. "Inflation risk and the inflation risk premium," Economic Policy, CEPR;CES;MSH, vol. 25, pages 755-806, October.

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    Keywords

    Interest rates ; Inflation (Finance) ; Asset pricing;

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