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Do Call Prices and the Underlying Stock Always Move in the Same Direction?

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Author Info
Bakshi, Gurdip
Cao, Charles
Chen, Zhiwu
Abstract

This article empirically analyzes some properties shared by all one-dimensional diffusion option models. Using S&P 500 options, we find that sampled intraday (or interday) call (put) prices often go down (up) even as the underlying price goes up, and call and put prices often increase, or decrease, together. Our results are valid after controlling for time decay and market microstructure effects. Therefore one-dimensional diffusion option models cannot be completely consistent with observed option price dynamics; options are not redundant securities, nor ideal hedging instruments--puts and the underlying asset prices may go down together. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

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Publisher Info
Article provided by Oxford University Press for Society for Financial Studies in its journal Review of Financial Studies.

Volume (Year): 13 (2000)
Issue (Month): 3 ()
Pages: 549-84
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Handle: RePEc:oup:rfinst:v:13:y:2000:i:3:p:549-84

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  1. Peter Carr & Liuren Wu, 2004. "Variance Risk Premia," Finance 0409015, EconWPA. [Downloadable!]
  2. Patrick Dennis & Stewart Mayhew, 2009. "Microstructural biases in empirical tests of option pricing models," Review of Derivatives Research, Springer, vol. 12(3), pages 169-191, October. [Downloadable!] (restricted)
  3. Peter Carr & Liuren Wu, 2004. "Stochastic Skew in Currency Options," Finance 0409014, EconWPA. [Downloadable!]
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  4. Charles Cao & Jing-Zhi Huang, 2007. "Determinants of S&P 500 index option returns," Review of Derivatives Research, Springer, vol. 10(1), pages 1-38, January. [Downloadable!] (restricted)
  5. A. Mele, 2000. "Fundamental Properties of Bond Prices in Models of the Short-Term Rate," THEMA Working Papers 2000-39, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
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  6. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2004. "The Cross-Section of Volatility and Expected Returns," NBER Working Papers 10852, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  7. Fabio Fornari, 2008. "Assessing the compensation for volatility risk implicit in interest rate derivatives," Working Paper Series 859, European Central Bank. [Downloadable!]
  8. Yacine Ait-Sahalia & Robert Kimmel, 2004. "Maximum Likelihood Estimation of Stochastic Volatility Models," NBER Working Papers 10579, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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