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The economics of options-implied inflation probability density functions

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  • Kitsul, Yuriy
  • Wright, Jonathan H.

Abstract

Recently a market in options based on consumer price index 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 probability density functions respond to news announcements and find that the implied odds of deflation are sensitive to certain macroeconomic news releases. We also estimate empirical pricing kernels using these option prices along with time series models fitted to inflation. 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

  • Kitsul, Yuriy & Wright, Jonathan H., 2013. "The economics of options-implied inflation probability density functions," Journal of Financial Economics, Elsevier, vol. 110(3), pages 696-711.
    • Handle: RePEc:eee:jfinec:v:110:y:2013:i:3:p:696-711
    DOI: 10.1016/j.jfineco.2013.08.013
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    References listed on IDEAS

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    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. 5-Year Deflation Probability Moves Off Zero
      by macroblog in Macroblog on 2015-09-04 21:34:05

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    Cited by:

    1. Reis, Ricardo, 2016. "Funding quantitative easing to target inflation," LSE Research Online Documents on Economics 86222, London School of Economics and Political Science, LSE Library.
    2. Barletta, Andrea & Santucci de Magistris, Paolo & Violante, Francesco, 2019. "A non-structural investigation of VIX risk neutral density," Journal of Banking & Finance, Elsevier, vol. 99(C), pages 1-20.
    3. Galati, Gabriele & Gorgi, Zion & Moessner, Richhild & Zhou, Chen, 2018. "Deflation risk in the euro area and central bank credibility," Economics Letters, Elsevier, vol. 167(C), pages 124-126.
    4. Francesco Bianchi & Leonardo Melosi, 2017. "Escaping the Great Recession," American Economic Review, American Economic Association, vol. 107(4), pages 1030-1058, April.
    5. Scharnagl, Michael & Stapf, Jelena, 2015. "Inflation, deflation, and uncertainty: What drives euro-area option-implied inflation expectations, and are they still anchored in the sovereign debt crisis?," Economic Modelling, Elsevier, vol. 48(C), pages 248-269.
    6. Jens Hilscher & Alon Raviv & Ricardo Reis, 2014. "Inflating Away the Public Debt? An Empirical Assessment," NBER Working Papers 20339, National Bureau of Economic Research, Inc.
    7. Abrahams, Michael & Adrian, Tobias & Crump, Richard K. & Moench, Emanuel & Yu, Rui, 2016. "Decomposing real and nominal yield curves," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 182-200.
    8. Gimeno, Ricardo & Ibáñez, Alfredo, 2018. "The eurozone (expected) inflation: An option's eyes view," Journal of International Money and Finance, Elsevier, vol. 86(C), pages 70-92.
    9. Grishchenko, Olesya V. & Vanden, Joel M. & Zhang, Jianing, 2016. "The informational content of the embedded deflation option in TIPS," Journal of Banking & Finance, Elsevier, vol. 65(C), pages 1-26.
    10. Francesco Bianchi & Leonardo Melosi, 2017. "Escaping the Great Recession," American Economic Review, American Economic Association, vol. 107(4), pages 1030-1058, April.
    11. Jonas Dovern & Hans Manner, 2018. "Order Invariant Tests for Proper Calibration of Multivariate Density Forecasts," CESifo Working Paper Series 7023, CESifo.
    12. Dovern, Jonas & Manner, Hans, 2016. "Robust Evaluation of Multivariate Density Forecasts," Annual Conference 2016 (Augsburg): Demographic Change 145547, Verein für Socialpolitik / German Economic Association.
    13. Chen, Ren-Raw & Hsieh, Pei-lin & Huang, Jeffrey, 2018. "Crash risk and risk neutral densities," Journal of Empirical Finance, Elsevier, vol. 47(C), pages 162-189.
    14. Jonas Dovern & Hans Manner, 2018. "Order Invariant Tests for Proper Calibration of Multivariate Density Forecasts," CESifo Working Paper Series 7023, CESifo.
    15. Covarrubias, Enrique & Hernández-del-Valle, Gerardo, 2016. "Inflation expectations derived from a portfolio model," MPRA Paper 69489, University Library of Munich, Germany.
    16. M. Chudý & S. Karmakar & W. B. Wu, 2020. "Long-term prediction intervals of economic time series," Empirical Economics, Springer, vol. 58(1), pages 191-222, January.
    17. Dovern, Jonas & Manner, Hans, 2016. "Order Invariant Evaluation of Multivariate Density Forecasts," Working Papers 0608, University of Heidelberg, Department of Economics.
    18. Scharnagl, Michael & Stapf, Jelena, 2014. "Inflation, deflation, and uncertainty: What drives euro area option-implied inflation expectations and are they still anchored in the sovereign debt crisis?," Discussion Papers 24/2014, Deutsche Bundesbank.
    19. Roc Armenter, 2015. "On the use of market-based probabilities for policy decisions," Working Papers 15-44, Federal Reserve Bank of Philadelphia, revised 14 Dec 2015.

    More about this item

    Keywords

    Inflation; Floors and caps; Derivatives; Forward martingale measure; Physical measure;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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