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Inflation expectations and risk premiums in an arbitrage-free model of nominal and real bond yields

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  • Jens H. E. Christensen
  • Jose A. Lopez
  • Glenn D. Rudebusch

Abstract

Differences between yields on comparable-maturity U.S. Treasury nominal and real debt, the so-called breakeven inflation (BEI) rates, are widely used indicators of inflation expectations. However, better measures of inflation expectations could be obtained by subtracting inflation risk premiums from the BEI rates. We provide such decompositions using an estimated affine arbitrage-free model of the term structure that captures the pricing of both nominal and real Treasury securities. Our empirical results suggest that long-term inflation expectations have been well anchored over the past few years, and inflation risk premiums, although volatile, have been close to zero on average.

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Bibliographic Info

Paper provided by Federal Reserve Bank of San Francisco in its series Working Paper Series with number 2008-34.

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Date of creation: 2008
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Publication status: Published in Journal of Money, Credit and Banking (September 2010, supplement)
Handle: RePEc:fip:fedfwp:2008-34

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Keywords: Inflation (Finance) ; Treasury bonds;

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  1. Jens H. E. Christensen & Francis X. Diebold & Glenn D. Rudebusch, 2007. "The Affine Arbitrage-Free Class of: Nelson-Siegel Term Structure Models," NBER Working Papers 13611, National Bureau of Economic Research, Inc.
  2. Andrew Ang & Geert Bekaert & Min Wei, 2008. "The Term Structure of Real Rates and Expected Inflation," Journal of Finance, American Finance Association, vol. 63(2), pages 797-849, 04.
  3. Olesya V. Grishchenko & Jing-zhi Huang, 2012. "Inflation risk premium: evidence from the TIPS market," Finance and Economics Discussion Series 2012-06, Board of Governors of the Federal Reserve System (U.S.).
  4. Kim, Don H. & Orphanides, Athanasios, 2005. "Term Structure Estimation with Survey Data on Interest Rate Forecasts," CEPR Discussion Papers 5341, C.E.P.R. Discussion Papers.
  5. Darrell Duffie & Rui Kan, 1996. "A Yield-Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406.
  6. Gregory R. Duffee, 1994. "Idiosyncratic variation of Treasury bill yields," Finance and Economics Discussion Series 94-28, Board of Governors of the Federal Reserve System (U.S.).
  7. Refet S. Gürkaynak & Brian Sack & Jonathan H. Wright, 2008. "The TIPS yield curve and inflation compensation," Finance and Economics Discussion Series 2008-05, Board of Governors of the Federal Reserve System (U.S.).
  8. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2014. "Do Central Bank Liquidity Facilities Affect Interbank Lending Rates?," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 32(1), pages 136-151, January.
  9. Stefania D'Amico & Don H. Kim & Min Wei, 2008. "Tips from TIPS: the informational content of Treasury Inflation-Protected Security prices," Finance and Economics Discussion Series 2008-30, Board of Governors of the Federal Reserve System (U.S.).
  10. Jens H. E. Christensen & Francis X. Diebold & Glenn D. Rudebusch, 2008. "An Arbitrage-Free Generalized Nelson-Siegel Term Structure Model," PIER Working Paper Archive 08-030, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  11. Francis X. Diebold & Canlin Li, 2002. "Forecasting the Term Structure of Government Bond Yields," Center for Financial Institutions Working Papers 02-34, Wharton School Center for Financial Institutions, University of Pennsylvania.
  12. 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.
  13. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-89, October.
  14. Hördahl, Peter & Tristani, Oreste, 2010. "Inflation risk premia in the US and the euro area," Working Paper Series 1270, European Central Bank.
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