Anatomy of a meltdown: The risk neutral density for the S&P 500 in the fall of 2008
We examine the risk neutral probability density (RND) for the S&P 500 extracted from real-time bid and ask quotes for index options, under extreme market stress during the fall of 2008. The RND provides exceptional detail about investors' expectations as intraday volatility increased to a level five times higher than it had been two years earlier. Arbitrage keeps the mean of the RND closely tied to the market index, but its autocorrelation is very different. We also find a strong pattern in the RND's response to stock index movements: The middle portion amplifies the index change by more than 50% in some cases. This overshooting increased during the crisis and, surprisingly, was stronger in up moves than down moves.
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- Robert R. Bliss & Nikolaos Panigirtzoglou, 2004. "Option-Implied Risk Aversion Estimates," Journal of Finance, American Finance Association, vol. 59(1), pages 407-446, 02.
- Garman, Mark B & Klass, Michael J, 1980. "On the Estimation of Security Price Volatilities from Historical Data," The Journal of Business, University of Chicago Press, vol. 53(1), pages 67-78, January.
- Nicolae Garleanu & Lasse Heje Pedersen & Allen M. Poteshman, 2005.
"Demand-Based Option Pricing,"
NBER Working Papers
11843, National Bureau of Economic Research, Inc.
- George Skiadopoulos, 2004. "The Greek implied volatility index: construction and properties," Applied Financial Economics, Taylor & Francis Journals, vol. 14(16), pages 1187-1196.
- Lawrence R. Glosten & Ravi Jagannathan & David E. Runkle, 1993.
"On the relation between the expected value and the volatility of the nominal excess return on stocks,"
157, Federal Reserve Bank of Minneapolis.
- Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. " On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
- Mark Rubinstein., 1994. "Implied Binomial Trees," Research Program in Finance Working Papers RPF-232, University of California at Berkeley.
- 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 621-51, October.
- Liu, Xiaoquan & Shackleton, Mark B. & Taylor, Stephen J. & Xu, Xinzhong, 2007. "Closed-form transformations from risk-neutral to real-world distributions," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1501-1520, May.
- Rubinstein, Mark, 1994. " Implied Binomial Trees," Journal of Finance, American Finance Association, vol. 49(3), pages 771-818, July.
- Alonso, Francisco & Blanco, Roberto & Rubio Irigoyen, Gonzalo, 2005. "Testing the Forecasting Performance of Ibex 35 Option-implied Risk-neutral Densities," DFAEII Working Papers 2005-09, University of the Basque Country - Department of Foundations of Economic Analysis II.
- Bing Han, 2008. "Investor Sentiment and Option Prices," Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 387-414, January.
- Pena, Ignacio & Rubio, Gonzalo & Serna, Gregorio, 1999. "Why do we smile? On the determinants of the implied volatility function," Journal of Banking & Finance, Elsevier, vol. 23(8), pages 1151-1179, August.
- Bates, David S, 1991. " The Crash of '87: Was It Expected? The Evidence from Options Markets," Journal of Finance, American Finance Association, vol. 46(3), pages 1009-44, July.
- Cheekiat Low, 2004. "The Fear and Exuberance from Implied Volatility of S&P 100 Index Options," The Journal of Business, University of Chicago Press, vol. 77(3), pages 527-546, July.
- Nicolas P. B. Bollen & Robert E. Whaley, 2004. "Does Net Buying Pressure Affect the Shape of Implied Volatility Functions?," Journal of Finance, American Finance Association, vol. 59(2), pages 711-753, 04.
- Louis H. Ederington & Jae Ha Lee, 1996. "The Impact Of Macroeconomic News On Financial Markets," Journal of Applied Corporate Finance, Morgan Stanley, vol. 9(1), pages 41-50.
- Dennis, Patrick & Mayhew, Stewart, 2002. "Risk-Neutral Skewness: Evidence from Stock Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(03), pages 471-493, September.
- Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2001.
"Modeling and Forecasting Realized Volatility,"
Center for Financial Institutions Working Papers
01-01, Wharton School Center for Financial Institutions, University of Pennsylvania.
- Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2001. "Modeling and Forecasting Realized Volatility," NBER Working Papers 8160, National Bureau of Economic Research, Inc.
- Anderson, Torben G. & Bollerslev, Tim & Diebold, Francis X. & Labys, Paul, 2002. "Modeling and Forecasting Realized Volatility," Working Papers 02-12, Duke University, Department of Economics.
- Taylor, Stephen J. & Yadav, Pradeep K. & Zhang, Yuanyuan, 2009. "Cross-sectional analysis of risk-neutral skewness," CFR Working Papers 09-11, University of Cologne, Centre for Financial Research (CFR).
- 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.
- Bates, David S., 2000. "Post-'87 crash fears in the S&P 500 futures option market," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 181-238.
- Jackwerth, Jens Carsten & Rubinstein, Mark, 1996. " Recovering Probability Distributions from Option Prices," Journal of Finance, American Finance Association, vol. 51(5), pages 1611-32, December.
- 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.
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