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W. T. ZIEMBA<br />

of Theorem 2 without the monotonicity assumption may be obtained by<br />

letting Df replace a^ in Hanoch and Levy's proof for the mean-variance<br />

case [12].<br />

The theorem indicates that it is sufficient to limit consideration to only<br />

those points that lie on the mean-a-dispersion (p-d) efficient surface. Let<br />

the risky assets (xlt ...,xn) = x, and let f = (|1; ...,£„). Then the (n~d) surface<br />

corresponding to assets (£u ...,£„) may be obtained by solving 7<br />

(2)

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