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Summary statistics of option-implied probability density functions and their properties

Author

Listed:
  • Lynch, Damien

    (Bank of England)

  • Panigirtzoglou, Nikolaos

    (Department of Economics, Queen Mary, University of London)

Abstract

The statistics that summarise probability density functions(pdfs) implied from option prices can be used to assess market expectations about future uncertainty, asymmetry and the probability of extreme movements in asset prices. A time-series analysis of these statistics for equity index and interest rate markets provides some stylised facts about the behaviour of these elements of market expectations, their historical distribution, similarity and relative stability. Relationships between them and movements in underlying asset prices are considered. Cross-asset and cross-country comparisons and the information content of the implied pdfs for future macroeconomic and financial variables are also assessed.

Suggested Citation

  • Lynch, Damien & Panigirtzoglou, Nikolaos, 2008. "Summary statistics of option-implied probability density functions and their properties," Bank of England working papers 345, Bank of England.
    • Handle: RePEc:boe:boeewp:0345
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    References listed on IDEAS

    as
    1. Melick, William R. & Thomas, Charles P., 1997. "Recovering an Asset's Implied PDF from Option Prices: An Application to Crude Oil during the Gulf Crisis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 32(1), pages 91-115, March.
    2. Engle, R. F. & Granger, C. W. J. (ed.), 1991. "Long-Run Economic Relationships: Readings in Cointegration," OUP Catalogue, Oxford University Press, number 9780198283393, Decembrie.
    3. Ait-Sahalia, Yacine & Lo, Andrew W., 2000. "Nonparametric risk management and implied risk aversion," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 9-51.
    4. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    5. 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.
    6. Barone-Adesi, Giovanni & Whaley, Robert E, 1987. "Efficient Analytic Approximation of American Option Values," Journal of Finance, American Finance Association, vol. 42(2), pages 301-320, June.
    7. Bhupinder Bahra, 1997. "Implied risk-neutral probability density functions from option prices: theory and application," Bank of England working papers 66, Bank of England.
    8. Jackwerth, Jens Carsten, 2000. "Recovering Risk Aversion from Option Prices and Realized Returns," Review of Financial Studies, Society for Financial Studies, vol. 13(2), pages 433-451.
    9. Christensen, B. J. & Prabhala, N. R., 1998. "The relation between implied and realized volatility," Journal of Financial Economics, Elsevier, vol. 50(2), pages 125-150, November.
    10. Bliss, Robert R. & Panigirtzoglou, Nikolaos, 2002. "Testing the stability of implied probability density functions," Journal of Banking & Finance, Elsevier, vol. 26(2-3), pages 381-422, March.
    11. Shiratsuka, Shigenori, 2001. "Information Content of Implied Probability Distributions: Empirical Studies of Japanese Stock Price Index Options," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 19(3), pages 143-170, November.
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    Cited by:

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    3. Nessim Souissi, 2017. "The Implied Risk Neutral Density Dynamics: Evidence from the S&P TSX 60 Index," Journal of Applied Mathematics, Hindawi, vol. 2017, pages 1-10, June.
    4. Carol Alexander & Alexander Rubinov & Markus Kalepky & Stamatis Leontsinis, 2012. "Regime‐dependent smile‐adjusted delta hedging," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 32(3), pages 203-229, March.
    5. Stephen Hansen & Michael McMahon & Carlos Velasco Rivera, 2013. "How Expoerts Decide: Preferences or Private Assessments on a Monetary Policy Committee?," CESifo Working Paper Series 4201, CESifo.
    6. Abderrahmen Aloulou & Siwar Ellouze, 2017. "Does fundamental value run asset price formation process? Evidence from option price information content," Journal of Asset Management, Palgrave Macmillan, vol. 18(4), pages 255-268, July.
    7. Hansen, Stephen & McMahon, Michael, 2011. "How Experts Decide: Identifying Preferences versus Signals from Policy Decisions," Economic Research Papers 270761, University of Warwick - Department of Economics.
    8. Hansen, Stephen & McMahon, Michael & Velasco Rivera, Carlos, 2014. "Preferences or private assessments on a monetary policy committee?," Journal of Monetary Economics, Elsevier, vol. 67(C), pages 16-32.
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    11. Birru, Justin & Figlewski, Stephen, 2012. "Anatomy of a meltdown: The risk neutral density for the S&P 500 in the fall of 2008," Journal of Financial Markets, Elsevier, vol. 15(2), pages 151-180.

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    More about this item

    Keywords

    Options; implied probability density functions (pdfs); summary statistics; implied volatility; implied asymmetry; market expectations.;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G19 - Financial Economics - - General Financial Markets - - - Other

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