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Limited Arbitrage and Short Sales Restrictions: Evidence from the Options Markets

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  • Eli Ofek
  • Matthew Richardson
  • Robert F. Whitelaw
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    Abstract

    In this paper, we investigate empirically the well-known put-call parity no-arbitrage relation in the presence of short sale restrictions. We use a new and comprehensive sample of options on individual stocks in combination with a measure of the cost and difficulty of short selling, specifically the spread between the rate a short-seller earns on the proceeds from the sale relative to the standard rate (the rebate rate spread). We find that violations of put-call parity are asymmetric in the direction of short sales constraints, their magnitudes are strongly related to the rebate rate spread, and they are maintained even in the presence of transactions costs both in the options and equity lending market. These violations appear to be related to both the maturity of the option and the level of valuations in the stock market, consistent with a behavioral finance theory that relies on over-optimistic investors in the stock market and segmentation between the stock and options markets. Moreover, the extent of violations of put-call parity and the rebate rate spread for individual stocks are significant predictors of future stock returns. For example, cumulative abnormal returns, net of borrowing costs, over a 2«-year sample period can exceed 65%.

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    Bibliographic Info

    Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 9423.

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    Date of creation: Jan 2003
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    Handle: RePEc:nbr:nberwo:9423

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    Cited by:
    1. Doukas, John A. & Kim, Chansog & Pantzalis, Christos, 2006. "Divergence of opinion and equity returns under different states of earnings expectations," Journal of Financial Markets, Elsevier, vol. 9(3), pages 310-331, August.
    2. Alfredo Ibáñez, 2005. "Option-Pricing in Incomplete Markets: The Hedging Portfolio plus a Risk Premium-Based Recursive Approach," Computing in Economics and Finance 2005 216, Society for Computational Economics.
    3. Han, Bin, 2004. "Limits of Arbitrage, Sentiment and Pricing Kernal: Evidences from Index Options," Working Paper Series 2004-2, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    4. Owen Lamont, 2004. "Go Down Fighting: Short Seller vs. Firms," Yale School of Management Working Papers amz2521, Yale School of Management, revised 01 Aug 2004.
    5. Marsh, Ian W. & Payne, Richard, 2012. "Banning short sales and market quality: The UK’s experience," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 1975-1986.

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