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Implied volatility surfaces and market activity over time

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Abstract

An impressive body of the literature has investigated the patterns of changes in implied volatilities across strike prices and maturities. Although such studies try to explain the existence of the volatility skew and term structure, they remain silent about the evolution of the volatility surface as time goes by and market variables move. Relying on a technique of signal processing called Independent Component Analysis, we extract volatility modes that account for most of the variations in the shape of the surface. We then relate the magnitude of volatility changes along those modes to market activity.

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References

  • Alexander, Carol. 2000. “Principal Component Analysis of Implied Volatility Smiles and Skews.” ISMA Discussion Paper, University of Reading, United Kingdom.

    Google Scholar 

  • Ané, Thierry. 2000. “Selecting Explanatory Variables of Price Changes Using Independent Component Analysis.” Working Paper, HEC Lausanne, Switzerland.

    Google Scholar 

  • Basilevsky, Alexander. 1994.Statistical Factor Analysis and Related Methods, Theory and Applications. New York: Wiley Series in Probability and Mathematical Statistics.

  • Bessembinder, Hendrik, and Paul Seguin, 1993. “Price Volatility, Trading Volume and Market Depth: Evidence from Futures Markets.”Journal of Financial and Quantitative Analysis 28: 21–35.

    Article  Google Scholar 

  • Black, Fisher, and Myron Scholes. 1973. “The Pricing of Options and Corporate Liability.”Journal of Political Economy 81: 636–654.

    Article  Google Scholar 

  • Cardoso, Jean-François, and Antoine Souloumiac. 1993. “Blind Beamforming for Non-Gaussian Signals.”IEE Proceedings 140: 771–774.

    Google Scholar 

  • Carr Peter, Hélyette Geman, Dilip Madan, and Marc Yor. 2001. “The Fine Structure of Asset Returns, an Empirical Investigation.”Journal of Business. Forthcoming.

  • Derman, Emanuel, and Michael Kamal. 1997. “The Patterns of Change in Implied Index Volatilities.” Goldman Sachs, Quantitative Strategies Research Notes.

  • Derman, Emanuel, and Iraj Kani. 1998. “Stochastic Implied Trees: Arbitrage Pricing with Stochastic Term and Strike Structure of Volatility.”International Journal of Theoretical and Applied Finance 1: 61–110.

    Article  Google Scholar 

  • Dumas, Bernard, Jeff Fleming, and Robert Whaley. 1998. “Implied Volatility Functions: Empirical Tests.”Journal of Finance 53: 2059–2106.

    Article  Google Scholar 

  • Dupire, Bruno. 1994. “Pricing with a Smile.”Risk 7: 18–20.

    Google Scholar 

  • Fornari, Fabio, and Antonio Mele. 2001. “Volatility Smiles and the Information Content of News.”Applied Financial Economics 11: 179–186.

    Article  Google Scholar 

  • Harvey, Campbell, and Robert Whaley. 1991. “S&P 100 Index Option Volatility.”Journal of Finance 46: 1551–1561.

    Article  Google Scholar 

  • Harvey, Campbell and Robert Whaley. 1992. “Market Volatility Prediction and the Efficiency of the S&P 100 Index Options Market.”Journal of Financial Economics 31: 43–73.

    Article  Google Scholar 

  • Heston, Steven. 1993. “A Closed Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options.”Review of Financial Studies 6: 327–343.

    Article  Google Scholar 

  • Heynen, Ronald. 1994. “An Empirical Investigation of Observed Smile Patterns.”Review of Futures Markets 13: 317–353.

    Google Scholar 

  • Hull, John, and Alan White. 1987. “The Pricing of Options on Assets with Stochastic Volatilities.”Journal of Finance 42: 281–300.

    Article  Google Scholar 

  • Leland, Hayne. 1985. “Option Pricing and Replications with Transaction Costs.”Journal of Finance 40: 1283–1301.

    Article  Google Scholar 

  • Longstaff, Francis. 1995. “Option Pricing and the Martingale Restriction.”Review of Financial Studies 8: 1091–1124.

    Article  Google Scholar 

  • Merton, Robert. 1973. “The Theory of Rational Option Pricing.”Bell Journal of Economics and Management Science 4: 141–183.

    Article  Google Scholar 

  • Peña, Ignacio, Gonzalo Rubio, and Gregorio Serna. 1999. “Why Do We Smile? On the Determinants of the Implied Volatility Function.”Journal of Banking and Finance 23: 1151–1179.

    Article  Google Scholar 

  • Poteshman, Allen. 2001. “Underreaction, Overreaction, and Increasing Misreaction to Information in the Options Market.”Journal of Finance 56: 851–876.

    Article  Google Scholar 

  • Rubinstein, Mark. 1994. “Implied Binomial Trees.”Journal of Finance 49: 771–818.

    Article  Google Scholar 

  • Sheikh, Aamir. 1991. “Transaction Data Tests of S&P 100 Call Option Pricing.”Journal of Financial and Quantitative Analysis 26: 459–475.

    Article  Google Scholar 

  • Stein, Elias, and Jeremy Stein. 1991. “Stock Price Distributions with Stochastic Volatility: An Analytic Approach.”Review of Financial Studies 4: 727–750.

    Article  Google Scholar 

  • Skiadopoulos, George, Stuart Hodges, and Les Clewlow. 1999. “The Dynamics of the S&P 500 Implied Volatility Surface.”Review of Derivatives Research 3: 263–282.

    Article  Google Scholar 

  • Taylor, Stephen, and Xinzhong Xu. 1993. “The Magnitude of Implied Volatility Smiles: Theory and Empirical Evidence for Exchange Rates.”Review of Futures Markets 13: 355–380.

    Google Scholar 

  • Zakoian, Jean-Michel, and Roger Rabemananjara. 1993. “Threshold ARCH models and asymmetries in Volatility.”Journal of Applied Econometrics 8: 31–50.

    Article  Google Scholar 

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Ané, T., Labidi, C. Implied volatility surfaces and market activity over time. J Econ Finan 25, 259–275 (2001). https://doi.org/10.1007/BF02745888

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