Relative Implied Volatility Arbitrage with Index Options

University of St. Gallen, Department of Economics Working Paper No. 2001-06

Financial Analysts Journal, Vol. 58, No. 6, November/December 2002

36 Pages Posted: 20 Jun 2003  

Manuel Ammann

University of St. Gallen - School of Finance

Silvan Herriger

Universit├Ąt St. Gallen

Date Written: 2002

Abstract

We investigate statistical arbitrage strategies for index options. To test the efficiency of markets in pricing relative implied volatilities in highly correlated markets, U.S. stock indices for which listed options are available are matched into pairs according to their degree of correlation. The interrelationship over time of the three most highly correlated and liquid index pairs is then analyzed. Based on this analysis, the relative implied volatility relationships are calculated. If such a relationship is violated, a relative mispricing is identified. We find that, although many theoretical mispricings can be observed, only a fraction of them are large enough to be used profitably in the presence of bid-ask spreads and transaction costs. A simple no-arbitrage barrier is thus used to identify significant mispricings and a statistical arbitrage trade is implemented every time such a mispricing was recorded, the trades being on average profitable after deduction of transaction costs.

Keywords: Statistical arbitrage, index options, relative implied volatility, market efficiency

JEL Classification: G13, G15

Suggested Citation

Ammann, Manuel and Herriger, Silvan, Relative Implied Volatility Arbitrage with Index Options (2002). University of St. Gallen, Department of Economics Working Paper No. 2001-06; Financial Analysts Journal, Vol. 58, No. 6, November/December 2002. Available at SSRN: https://ssrn.com/abstract=274824 or http://dx.doi.org/10.2139/ssrn.274824

Manuel Ammann (Contact Author)

University of St. Gallen - School of Finance ( email )

Unterer Graben 21
St.Gallen, CH-9000
Switzerland

Silvan Herriger

Universit├Ąt St. Gallen ( email )

Rosenbergstrasse 52
CH-9000 St.Gallen
Switzerland

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