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Modeling Stock Pinning

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Author Info
Marc Jeannin ()
Giulia Iori () (Department of Economics, City University, London)
David Samuel ()

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Abstract

The paper investigates the effect of hedging strategies on the so called pinning effect, i.e. the tendency of stock’s prices to close near the strike price of heavily traded options as the expiration date nears. In the paper we extend the analysis of Avellaneda and Lipkin (2003) who propose an explanation of stock pinning in terms of delta hedging strategies for long option positions. We adopt a model introduced by Frey and Stremme (1997) and show that in this case pinning is driven by two effects: a hedging dependent drift term that pushes the stock price toward the strike price and a hedging dependent volatility term that constrains the stock price near the strike as it approaches it. Finally we show that pinning can be gnerated by dynamic hedging strategies under more realistic market conditions by simulating trading in a double auction model.

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Paper provided by Department of Economics, City University, London in its series City University Economics Discussion Papers with number 06/04.

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Length: 13 pages
Date of creation: May 2006
Date of revision:
Publication status: Published in Physica A, 376, 467-479 (2007)
Handle: RePEc:cty:dpaper:0604

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. E. Platen & M. Schweizer, . "On Feedback Effects from Hedging Derivatives," Sonderforschungsbereich 373 1997-83, Humboldt Universitaet Berlin.
  2. Xiaoyan Ni, Sophie & Pearson, Neil D. & Poteshman, Allen M., 2005. "Stock price clustering on option expiration dates," Journal of Financial Economics, Elsevier, vol. 78(1), pages 49-87, October. [Downloadable!] (restricted)
  3. Jean-Philippe Bouchaud & Marc Mezard & Marc Potters, 2002. "Statistical properties of stock order books: empirical results and models," Science & Finance (CFM) working paper archive 0203511, Science & Finance, Capital Fund Management. [Downloadable!]
  4. Kempf, Alexander & Korn, Olaf, 1999. "Market depth and order size1," Journal of Financial Markets, Elsevier, vol. 2(1), pages 29-48, February. [Downloadable!] (restricted)
  5. Damien Challet & Robin Stinchcombe, 2001. "Analyzing and modelling 1+1d markets," Quantitative Finance Papers cond-mat/0106114, arXiv.org, revised Jun 2001. [Downloadable!]
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