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Pricing deflation risk with U.S. Treasury yields

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

Abstract

We use an arbitrage-free term structure model with spanned stochastic volatility to determine the value of the deflation protection option embedded in Treasury inflation-protected securities (TIPS). The model accurately prices the deflation protection option prior to the financial crisis when its value was near zero; at the peak of the crisis in late 2008 when deflationary concerns spiked sharply; and in the post-crisis period. During 2009, the average value of this option at the five-year maturity was 41 basis points on a par-yield basis.

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Bibliographic Info

Paper provided by Federal Reserve Bank of San Francisco in its series Working Paper Series with number 2012-07.

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Date of creation: 2012
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Handle: RePEc:fip:fedfwp:2012-07

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Keywords: Deflation (Finance) ; Inflation-indexed bonds - United States;

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References

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  1. Chernov, Mikhail & Mueller, Philippe, 2012. "The term structure of inflation expectations," Journal of Financial Economics, Elsevier, vol. 106(2), pages 367-394.
  2. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2009. "Inflation expectations and risk premiums in an arbitrage-free model of nominal and real bond yields," Proceedings, Federal Reserve Bank of San Francisco, issue Jan.
  3. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2011. "Extracting deflation probability forecasts from Treasury yields," Working Paper Series 2011-10, Federal Reserve Bank of San Francisco.
  4. Christensen, Jens H.E. & Lopez, Jose A. & Rudebusch, Glenn D., 2014. "Can spanned term structure factors drive stochastic yield volatility?," Working Paper Series 2014-3, Federal Reserve Bank of San Francisco.
  5. Jens H.E. Christensen & James M. Gillan, 2011. "A model-independent maximum range for the liquidity correction of TIPS yields," Working Paper Series 2011-16, Federal Reserve Bank of San Francisco.
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Cited by:
  1. Olesya V. Grishchenko & Joel M. Vanden & Jianing Zhang, 2013. "The informational content of the embedded deflation option in TIPS," Finance and Economics Discussion Series 2013-24, Board of Governors of the Federal Reserve System (U.S.).
  2. Jonathan Wright & Yuriy Kitsul, 2012. "The Economics of Options-Implied Inflation Probability Density Functions," 2012 Meeting Papers 174, Society for Economic Dynamics.
  3. Olesya V. Grishchenko & Joel M. Vanden & Jianing Zhang, 2011. "The information content of the embedded deflation pption in TIPS," Finance and Economics Discussion Series 2011-58, Board of Governors of the Federal Reserve System (U.S.).
  4. GuimarĂ£es , Rodrigo, 2012. "What accounts for the fall in UK ten-year government bond yields?," Bank of England Quarterly Bulletin, Bank of England, vol. 52(3), pages 213-223.
  5. Yuriy Kitsul & Jonathan H. Wright, 2012. "The Economics of Options-Implied Inflation Probability Density Functions," Economics Working Paper Archive 600, The Johns Hopkins University,Department of Economics.

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