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An Equilibrium-Based Model Of Stock-Pinning

  • SUHAS NAYAK

    ()

    (McKinsey & Company, Sydney Office, Australia)

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    We consider a model of the economy that splits investors into two groups. One group (the reference traders) trades an underlying asset according to the difference in realized returns between that asset and some evolving consensus estimate of those returns; the other group (hedgers) hedge options, namely straddles, on the underlying asset. We consider the cases when hedgers are long the straddle and when the hedgers are short the straddle. We numerically simulate the terminal distribution of the underlying asset price and find that hedgers that are long the straddle tend to push the underlying toward the strike, while hedgers that are short the straddle cause the underlying security to have a bimodal terminal probability distribution with a local minimum at the strike.

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    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Journal of Theoretical and Applied Finance.

    Volume (Year): 10 (2007)
    Issue (Month): 03 ()
    Pages: 535-555

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    Handle: RePEc:wsi:ijtafx:v:10:y:2007:i:03:p:535-555
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    1. Mattias Jonsson & Jussi Keppo, 2002. "Option pricing for large agents," Applied Mathematical Finance, Taylor & Francis Journals, vol. 9(4), pages 261-272.
    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.
    3. Marco Avellaneda & Michael Lipkin, 2003. "A market-induced mechanism for stock pinning," Quantitative Finance, Taylor & Francis Journals, vol. 3(6), pages 417-425.
    4. Eckhard Platen & Martin Schweizer, 1998. "On Feedback Effects from Hedging Derivatives," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 67-84.
    5. Mukarram Attari & Antonio S. Mello & Martin E. Ruckes, 2005. "Arbitraging Arbitrageurs," Journal of Finance, American Finance Association, vol. 60(5), pages 2471-2511, October.
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