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An Equilibrium-Based Model Of Stock-Pinning

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  • SUHAS NAYAK

    (McKinsey & Company, Sydney Office, Australia)

Abstract

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.

Suggested Citation

  • Suhas Nayak, 2007. "An Equilibrium-Based Model Of Stock-Pinning," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 535-555.
    • Handle: RePEc:wsi:ijtafx:v:10:y:2007:i:03:n:s0219024907004287
    DOI: 10.1142/S0219024907004287
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    References listed on IDEAS

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    1. Eckhard Platen & Martin Schweizer, 1998. "On Feedback Effects from Hedging Derivatives," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 67-84, January.
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    4. 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.
    5. Rüdiger Frey & Alexander Stremme, 1997. "Market Volatility and Feedback Effects from Dynamic Hedging," Mathematical Finance, Wiley Blackwell, vol. 7(4), pages 351-374, October.
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    Cited by:

    1. Golez, Benjamin & Jackwerth, Jens Carsten, 2012. "Pinning in the S&P 500 futures," Journal of Financial Economics, Elsevier, vol. 106(3), pages 566-585.

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