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The Economics of Options-Implied Inflation Probability Density Functions

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  • Yuriy Kitsul
  • Jonathan H. Wright

Abstract

Recently a market in options based on CPI inflation (inflation caps and floors) has emerged in the US. This paper uses quotes on these derivatives to construct probability densities for inflation. We study how these pdfs respond to news announcements, and find that the implied odds of deflation are sensitive to certain macroeconomic news releases. We compare the option-implied probability densities with those obtained by time series methods, and use this information to construct empirical pricing kernels. The options-implied densities assign considerably more mass to extreme inflation outcomes (either deflation or high inflation) than do their time series counterparts. This yields a U-shaped empirical pricing kernel, with investors having high marginal utility in states of the world characterized by either deflation or high inflation.

Suggested Citation

  • 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.
  • Handle: RePEc:jhu:papers:600
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    References listed on IDEAS

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    1. Matthias Fleckenstein & Francis A. Longstaff & Hanno Lustig, 2010. "Why Does the Treasury Issue Tips? The Tips-Treasury Bond Puzzle," NBER Working Papers 16358, National Bureau of Economic Research, Inc.
    2. Ray C. Fair, 2002. "Events That Shook the Market," The Journal of Business, University of Chicago Press, vol. 75(4), pages 713-732, October.
    3. Yasuhiro Omori & Siddhartha Chib & Neil Shephard & Jouchi Nakajima, 2004. "Stochastic volatility with leverage: fast likelihood inference," Economics Papers 2004-W19, Economics Group, Nuffield College, University of Oxford.
    4. Jonathan H. Wright, 2011. "What does Monetary Policy do to Long-Term Interest Rates at the Zero Lower Bound?," NBER Working Papers 17154, National Bureau of Economic Research, Inc.
    5. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2016. "Pricing Deflation Risk with US Treasury Yields," Review of Finance, European Finance Association, vol. 20(3), pages 1107-1152.
    6. Rosenberg, Joshua V. & Engle, Robert F., 2002. "Empirical pricing kernels," Journal of Financial Economics, Elsevier, vol. 64(3), pages 341-372, June.
    7. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2010. "Inflation Expectations and Risk Premiums in an Arbitrage-Free Model of Nominal and Real Bond Yields," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 143-178, September.
    8. 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.).
    9. 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.).
    10. Giorgio E. Primiceri, 2005. "Time Varying Structural Vector Autoregressions and Monetary Policy," Review of Economic Studies, Oxford University Press, vol. 72(3), pages 821-852.
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    Cited by:

    1. Matthew Raskin, 2013. "The effects of the Federal Reserve's date-based forward guidance," Finance and Economics Discussion Series 2013-37, Board of Governors of the Federal Reserve System (U.S.).
    2. GoliƄski, Adam & Zaffaroni, Paolo, 2016. "Long memory affine term structure models," Journal of Econometrics, Elsevier, vol. 191(1), pages 33-56.
    3. Andrade, P. & Ghysels, E. & Idier, J., 2012. "Tails of Inflation Forecasts and Tales of Monetary Policy," Working papers 407, Banque de France.
    4. repec:eee:eneeco:v:64:y:2017:i:c:p:440-457 is not listed on IDEAS
    5. Datta, Deepa Dhume & Londono, Juan M. & Ross, Landon J, 2014. "Generating Options-Implied Probability Densities to Understand Oil Market Events," International Finance Discussion Papers 1122, Board of Governors of the Federal Reserve System (U.S.).
    6. Faust, Jon & Wright, Jonathan H., 2013. "Forecasting Inflation," Handbook of Economic Forecasting, Elsevier.

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