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Pattern derivatives

Casey S. Schroeder and Massimo Di Pierro

International Journal of Financial Markets and Derivatives, 2011, vol. 2, issue 4, 249-257

Abstract: In this paper, we propose a new type of derivative called a pattern derivative. In the simple case of an asset that moves up u or down d in value, a pattern is a sequence of {u, d} movements that may occur before expiration. We provide general pricing formulas that rely on a brute force approach as well as efficient valuation algorithms based on recursive formulas for the probability of patterns to occur. We generalise our results to exclusive, inclusive, and multi-pattern options. Finally, we discuss the possible benefits of this type of options.

Keywords: patterns; pattern derivatives; options pricing. (search for similar items in EconPapers)
Date: 2011
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