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

54 Pages Posted: 10 Jan 2003 Last revised: 10 Oct 2009

See all articles by Eli Ofek

Eli Ofek

New York University (NYU) - Department of Finance

Matthew P. Richardson

New York University (NYU) - Department of Finance; National Bureau of Economic Research (NBER); AQR Capital Management, LLC

Robert Whitelaw

New York University; National Bureau of Economic Research (NBER)

Multiple version iconThere are 2 versions of this paper

Date Written: January 2003

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%.

Suggested Citation

Ofek, Eli and Richardson, Matthew P. and Whitelaw, Robert F., Limited Arbitrage and Short Sales Restrictions: Evidence from the Options Markets (January 2003). NBER Working Paper No. w9423. Available at SSRN: https://ssrn.com/abstract=366460

Eli Ofek

New York University (NYU) - Department of Finance ( email )

Stern School of Business
44 West 4th Street
New York, NY 10012-1126
United States

Matthew P. Richardson (Contact Author)

New York University (NYU) - Department of Finance ( email )

44 West 4th Street
Suite 9-190
New York, NY 10012-1126
United States
212-998-0349 (Phone)
212-995-4233 (Fax)

National Bureau of Economic Research (NBER)

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AQR Capital Management, LLC ( email )

Greenwich, CT
United States

Robert F. Whitelaw

New York University ( email )

Stern School of Business
44 West 4th Street
New York, NY 10012-1126
United States
212-998-0338 (Phone)
212-995-4233 (Fax)

National Bureau of Economic Research (NBER)

1050 Massachusetts Avenue
Cambridge, MA 02138
United States

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