On the Class of Elliptical Distributions and their Applications to the Theory of Portfolio Choice

  • Author(s): JOEL OWEN, RAMON RABINOVITCH
  • Published: Apr 30, 2012
  • Pages: 745-752
  • DOI: 10.1111/j.1540-6261.1983.tb02499.x

ABSTRACT

It is shown that the class of elliptical distributions extend the Tobin [14] separation theorem, Bawa's [2] rules of ordering uncertain prospects, Ross's [12] mutual fund separation theorems, and the results of the CAPM to non‐normal distributions, which are not necessarily stable. Further, the mean‐covariance matrix framework is generalized to a mean‐characteristic matrix framework in which the characteristic matrix is the basis for a spread or risk measure, and a generalized equilibrium pricing equation is arrived at. The implications to empirical testing of the CAPM and modeling the empirical distribution of speculative prices are discussed.

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