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An estimate of the inflation risk premium using a three-factor affine term structure model

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  • J. Benson Durham

Abstract

This paper decomposes nominal Treasury yields into expected real rates, expected inflation rates, real risk premiums, and inflation risk premiums by separately calibrating a three-factor affine term structure model to the nominal Treasury and TIPS yield curves. Although this particular application seems to produce expected real short rates and inflation rates that are somewhat static, there are theoretical advantages to calibrating the model to nominal and real yields separately. Moreover, the estimates correlate positively with back-of-the-envelope measures of the inflation risk premium. With respect to the current environment, monetary policy uncertainty does not seem to have contributed to the apparent increase in the inflation risk premium since the beginning of 2006. Also, in purely nominal terms, the increase in term premiums thus far this year might be just as much a global as a domestic phenomenon, given that nominal term premiums have also increased in Germany and the United Kingdom.

Suggested Citation

  • J. Benson Durham, 2006. "An estimate of the inflation risk premium using a three-factor affine term structure model," Finance and Economics Discussion Series 2006-42, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgfe:2006-42
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    References listed on IDEAS

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    2. D’Amico, Stefania & Kim, Don H. & Wei, Min, 2018. "Tips from TIPS: The Informational Content of Treasury Inflation-Protected Security Prices," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 53(1), pages 395-436, February.
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    9. Don H. Kim & Jonathan H. Wright, 2005. "An arbitrage-free three-factor term structure model and the recent behavior of long-term yields and distant-horizon forward rates," Finance and Economics Discussion Series 2005-33, Board of Governors of the Federal Reserve System (U.S.).
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    Cited by:

    1. Peter Hördahl & Oreste Tristani, 2012. "Inflation Risk Premia In The Term Structure Of Interest Rates," Journal of the European Economic Association, European Economic Association, vol. 10(3), pages 634-657, May.
    2. Flávio de Freitas Val & Claudio Henrique da Silveira Barbedo & Marcelo Verdini Maia, 2011. "Inflation expectation and implicit inflation: does market research provide accurate measures?," Brazilian Business Review, Fucape Business School, vol. 8(3), pages 83-100, July.
    3. Agnieszka Konicz & David Pisinger & Alex Weissensteiner, 2015. "Optimal annuity portfolio under inflation risk," Computational Management Science, Springer, vol. 12(3), pages 461-488, July.
    4. J. Benson Durham, 2007. "Implied interest rate skew, term premiums, and the \"conundrum\"," Finance and Economics Discussion Series 2007-55, Board of Governors of the Federal Reserve System (U.S.).
    5. repec:dau:papers:123456789/7741 is not listed on IDEAS
    6. Tobias Adrian & Hao Wu, 2009. "The term structure of inflation expectations," Staff Reports 362, Federal Reserve Bank of New York.
    7. Christophe, Faugere, 2003. "A Required Yield Theory of Stock Market Valuation and Treasury Yield Determination," MPRA Paper 15579, University Library of Munich, Germany, revised 04 Jun 2009.
    8. Samuel Maurer & Joshua V. Rosenberg, 2008. "Signal or noise? Implications of the term premium for recession forecasting," Economic Policy Review, Federal Reserve Bank of New York, vol. 14(Jul), pages 1-11.

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    Keywords

    Inflation risk; Inflation (Finance); Econometric models;
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