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A market-induced mechanism for stock pinning

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  • Marco Avellaneda
  • Michael Lipkin

Abstract

We propose a model to describe stock pinning on option expiration dates. We argue that if the open interest on a particular contract is unusually large, delta-hedging in aggregate by floor market-makers can impact the stock price and drive it to the strike price of the option. We derive a stochastic differential equation for the stock price which has a singular drift that accounts for the price-impact of delta-hedging. According to this model, the stock price has a finite probability of pinning at a strike. We calculate analytically and numerically this probability in terms of the volatility of the stock, the time-to-maturity, the open interest for the option under consideration and a 'price elasticity' constant that models price impact.

Suggested Citation

  • Marco Avellaneda & Michael Lipkin, 2003. "A market-induced mechanism for stock pinning," Quantitative Finance, Taylor & Francis Journals, vol. 3(6), pages 417-425.
    • Handle: RePEc:taf:quantf:v:3:y:2003:i:6:p:417-425
    DOI: 10.1088/1469-7688/3/6/301
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