IDEAS home Printed from https://ideas.repec.org/a/eee/jfinec/v110y2013i3p696-711.html
   My bibliography  Save this article

The economics of options-implied inflation probability density functions

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304405X13002274
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. repec:reg:rpubli:259 is not listed on IDEAS
    2. Stefania D'Amico & Don H Kim & Min Wei, 2008. "Tips from TIPS: the informational content of Treasury Inflation-Protected Security prices," BIS Working Papers 248, Bank for International Settlements.
    3. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
    4. 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.).
    5. Joseph Haubrich & George Pennacchi & Peter Ritchken, 2012. "Inflation Expectations, Real Rates, and Risk Premia: Evidence from Inflation Swaps," Review of Financial Studies, Society for Financial Studies, vol. 25(5), pages 1588-1629.
    6. Haitao Li & Feng Zhao, 2009. "Nonparametric Estimation of State-Price Densities Implicit in Interest Rate Cap Prices," Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4335-4376, November.
    7. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Clara Vega, 2003. "Micro Effects of Macro Announcements: Real-Time Price Discovery in Foreign Exchange," American Economic Review, American Economic Association, vol. 93(1), pages 38-62, March.
    8. James H. Stock & Mark W. Watson, 2007. "Why Has U.S. Inflation Become Harder to Forecast?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 3-33, February.
    9. Ray C. Fair, 2002. "Events That Shook the Market," The Journal of Business, University of Chicago Press, vol. 75(4), pages 713-732, October.
    10. Justin Wolfers & Eric Zitzewitz, 2004. "Prediction Markets," Journal of Economic Perspectives, American Economic Association, vol. 18(2), pages 107-126, Spring.
    11. David L. Reifschneider & John C. Williams, 2000. "Three lessons for monetary policy in a low-inflation era," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, pages 936-978.
    12. Ait-Sahalia, Yacine & Duarte, Jefferson, 2003. "Nonparametric option pricing under shape restrictions," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 9-47.
    13. 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.).
    14. 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.
    15. Stephen A. Ross, 1976. "Options and Efficiency," The Quarterly Journal of Economics, Oxford University Press, vol. 90(1), pages 75-89.
    16. Ait-Sahalia, Yacine & Wang, Yubo & Yared, Francis, 2001. "Do option markets correctly price the probabilities of movement of the underlying asset?," Journal of Econometrics, Elsevier, vol. 102(1), pages 67-110, May.
    17. Gurkaynak, Refet S. & Sack, Brian & Wright, Jonathan H., 2007. "The U.S. Treasury yield curve: 1961 to the present," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2291-2304, November.
    18. 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.
    19. Refet S. Gürkaynak & Brian Sack & Jonathan H. Wright, 2010. "The TIPS Yield Curve and Inflation Compensation," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(1), pages 70-92, January.
    20. Reifschneider, David & Willams, John C, 2000. "Three Lessons for Monetary Policy in a Low-Inflation Era," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(4), pages 936-966, November.
    21. James H. Stock & Mark W. Watson, 2007. "Erratum to "Why Has U.S. Inflation Become Harder to Forecast?"," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(7), pages 1849-1849, October.
    22. Carolin E. Pflueger & Luis M. Viceira, 2011. "Inflation-Indexed Bonds and the Expectations Hypothesis," Annual Review of Financial Economics, Annual Reviews, vol. 3(1), pages 139-158, December.
    23. Rosenberg, Joshua V. & Engle, Robert F., 2002. "Empirical pricing kernels," Journal of Financial Economics, Elsevier, vol. 64(3), pages 341-372, June.
    24. Omori, Yasuhiro & Chib, Siddhartha & Shephard, Neil & Nakajima, Jouchi, 2007. "Stochastic volatility with leverage: Fast and efficient likelihood inference," Journal of Econometrics, Elsevier, vol. 140(2), pages 425-449, October.
    25. Jonathan H. Wright, 2012. "What does Monetary Policy do to Long‐term Interest Rates at the Zero Lower Bound?," Economic Journal, Royal Economic Society, vol. 122(564), pages 447-466, November.
    26. Fabio Mercurio, 2005. "Pricing inflation-indexed derivatives," Quantitative Finance, Taylor & Francis Journals, vol. 5(3), pages 289-302.
    Full references (including those not matched with items on IDEAS)

    Citations

    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

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Reis, Ricardo, 2016. "Funding quantitative easing to target inflation," LSE Research Online Documents on Economics 67883, London School of Economics and Political Science, LSE Library.
    2. Jonas Dovern & Hans Manner, 2018. "Order Invariant Tests for Proper Calibration of Multivariate Density Forecasts," CESifo Working Paper Series 7023, CESifo Group Munich.
    3. Dovern, Jonas & Manner, Hans, 2016. "Robust Evaluation of Multivariate Density Forecasts," Annual Conference 2016 (Augsburg): Demographic Change 145547, Verein für Socialpolitik / German Economic Association.
    4. Francesco Bianchi & Leonardo Melosi, 2017. "Escaping the Great Recession," American Economic Review, American Economic Association, vol. 107(4), pages 1030-1058, April.
    5. 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.
    6. 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.
    7. repec:eee:ecolet:v:167:y:2018:i:c:p:124-126 is not listed on IDEAS
    8. 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.
    9. Jonas Dovern & Hans Manner, 2018. "Order Invariant Tests for Proper Calibration of Multivariate Density Forecasts," Graz Economics Papers 2018-09, University of Graz, Department of Economics.
    10. 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.
    11. Covarrubias, Enrique & Hernández-del-Valle, Gerardo, 2016. "Inflation expectations derived from a portfolio model," MPRA Paper 69489, University Library of Munich, Germany.
    12. Hilscher, Jens & Raviv, Alon & Reis, Ricardo, 2014. "Inflating Away the Public Debt? An Empirical Assessment," CEPR Discussion Papers 10078, C.E.P.R. Discussion Papers.
    13. Dovern, Jonas & Manner, Hans, 2016. "Order Invariant Evaluation of Multivariate Density Forecasts," Working Papers 0608, University of Heidelberg, Department of Economics.
    14. 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.
    15. Armenter, Roc, 2015. "On the use of market-based probabilities for policy decisions," Working Papers 15-44, Federal Reserve Bank of Philadelphia.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jfinec:v:110:y:2013:i:3:p:696-711. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/locate/inca/505576 .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.