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Statistical modelling of asymmetric risk in asset returns 

Authors: J. L. Knight a;  S. E. Satchell b; K. C. Tran c
Affiliations:   a Department of Economics, University of Western Ontario, Canada
b Trinity College and Department of Applied Economics, University of Cambridge, UK
c Department of Economics, University of Saskatchewan, Canada
DOI: 10.1080/13504869500000009
Publication Frequency: 6 issues per year
Published in: journal Applied Mathematical Finance, Volume 2, Issue 3 September 1995 , pages 155 - 172
Formats available: PDF (English)
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Abstract

The purpose of this article is to provide a straightforward model for asset returns which captures the fundamental asymmetry in upward versus downward returns. We model this feature by using scale gamma distributions for the conditional distributions of positive and negative returns. By allowing the parameters for positive returns to differ from parameters for negative returns we can test the hypothesis of symmetry. Some applications of this process to expected utility and semi-variance calculations are considered. Finally we estimate the model using daily UK FT100 index and Futures data.
Keywords: asymmetric returns; FT 100; semi-variance; scale gamma distribution
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