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Market Frictions and Seemingly Anomalous Co-movements of Index Options and Index Futures Quotes

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Author Info
Fahlenbrach, Rudiger (Ohio State U)
Sandas, Patrik (U of Pennsylvania)
Abstract

A call option price is always an increasing and convex function of the underlying asset price whenever the underlying asset price follows a diffusion whose volatility depends only on time and the concurrent asset price-a one-dimensional diffusion. We empirically examine how often the observed quote movements are anomalous in the sense that they imply a violation of either the monotonicity or the convexity property using a sample of quotes and trades of options and futures on the FTSE 100 stock index. We show that such anomalous co-movements are about four times more likely to occur within a minute of an option trade than at other times and are related to the traders' order submissions. We interpret our results as evidence that the seemingly anomalous quote co-movements are driven by market frictions and should not be taken as evidence against option pricing models in the one-dimensional diffusion family. We show that the seemingly anomalous quote co-movements are consistent with traders making rational order submission decisions.

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Paper provided by Ohio State University, Charles A. Dice Center for Research in Financial Economics in its series Working Paper Series with number 2005-10.

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Date of creation: Jan 2005
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Handle: RePEc:ecl:ohidic:2005-10

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C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data

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  1. Kalok Chan & Y. Peter Chung & Wai-Ming Fong, 2002. "The Informational Role of Stock and Option Volume," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 15(4), pages 1049-1075.
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  3. Bossaerts, Peter & Hillion, Pierre, 1997. "Local parametric analysis of hedging in discrete time," Journal of Econometrics, Elsevier, vol. 81(1), pages 243-272, November. [Downloadable!] (restricted)
    Other versions:
  4. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166. [Downloadable!] (restricted)
  5. Berkman, Henk, 1996. "Large Option Trades, Market Makers, and Limit Orders," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 9(3), pages 977-1002. [Downloadable!] (restricted)
  6. Bossaerts, Peter & Hillion, Pierre, 2003. "Local parametric analysis of derivatives pricing and hedging," Journal of Financial Markets, Elsevier, vol. 6(4), pages 573-605, August. [Downloadable!] (restricted)
  7. Sugato Chakravarty & Huseyin Gulen & Stewart Mayhew, 2004. "Informed Trading in Stock and Option Markets," Journal of Finance, American Finance Association, vol. 59(3), pages 1235-1258, 06. [Downloadable!] (restricted)
  8. Savickas, Robert & Wilson, Arthur J., 2003. "On Inferring the Direction of Option Trades," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 38(04), pages 881-902, December. [Downloadable!]
  9. Bates, David S, 1996. "Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Deutsche Mark Options," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 9(1), pages 69-107. [Downloadable!] (restricted)
  10. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June. [Downloadable!] (restricted)
  11. Subrahmanyam, Avanidhar, 1991. "A Theory of Trading in Stock Index Futures," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 4(1), pages 17-51. [Downloadable!] (restricted)
  12. Bernard Dumas & Jeff Fleming & Robert E. Whaley, 1998. "Implied Volatility Functions: Empirical Tests," Journal of Finance, American Finance Association, vol. 53(6), pages 2059-2106, December. [Downloadable!] (restricted)
  13. Yaacov Z. Bergman & Bruce D. Grundy & Zvi Wiener, . "General Properties of Option Prices (Revision of 11-95) (Reprint 058)," Rodney L. White Center for Financial Research Working Papers 1-96, Wharton School Rodney L. White Center for Financial Research.
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  14. Mayhew, Stewart & Sarin, Atulya & Shastri, Kuldeep, 1995. " The Allocation of Informed Trading across Related Markets: An Analysis of the Impact of Changes in Equity-Option Margin Requirements," Journal of Finance, American Finance Association, vol. 50(5), pages 1635-53, December. [Downloadable!] (restricted)
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