The Relationship between Risk and Incomplete States Uncertainty: A Tsallis Entropy Perspective

11 Pages Posted: 11 Sep 2013  

Oren J. Tapiero

Université Paris I Panthéon-Sorbonne; Academic College of Tel-Aviv Yafo

Date Written: September 11, 2013

Abstract

This paper provides a “non-extensive” information theoretic perspective on the relationship between risk and incomplete states uncertainty. Theoretically and empirically, we demonstrate that a substitution effect between the latter two may take place. Theoretically, the “non-extensive” volatility measure is concave with respect to the standard (based on normal distribution) volatility measure. With the degree of concavity depending on an incomplete states uncertainty parameter-the Tsallis-q. Empirically, the latter negatively causes the normal measure of volatility, positively affecting the tails of the distribution of realised log-returns.

Suggested Citation

Tapiero, Oren J., The Relationship between Risk and Incomplete States Uncertainty: A Tsallis Entropy Perspective (September 11, 2013). Algorithmic Finance 2013, 2:2, 141-150 . Available at SSRN: https://ssrn.com/abstract=2324030

Oren J. Tapiero (Contact Author)

Université Paris I Panthéon-Sorbonne ( email )

17, rue de la Sorbonne
Paris, IL 75005
France

Academic College of Tel-Aviv Yafo ( email )

Israel

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