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Abstract: Stochastic Dominance in the Laplace Transformation Domain

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  • Perrakis, Stylianos

Abstract

This paper examines the problem of the selection of first-, second-, and thirddegree undominated portfolios by using the properties of the Laplace transform (L-T) of the distributions of portfolio returns. It is assumed that the joint distribution of n interdependent prospects, as well as its Laplace transform, is known or may be estimated from past data. Next, it is shown that the L-T of the portfolio returns may be expressed very simply in terms of the L-T of the joint distribution. A theorem is then proved, which uses results from L-T theory and shows that stochastic dominance between two portfolios of first-, second- or third-degree may be expressed by inequalities between the L-T's of the portfolios and their derivatives. It is also shown through an example how this theorem may be used in finding undominated portfolios.

Suggested Citation

  • Perrakis, Stylianos, 1977. "Abstract: Stochastic Dominance in the Laplace Transformation Domain," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 639-639, November.
  • Handle: RePEc:cup:jfinqa:v:12:y:1977:i:04:p:639-639_02
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