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2008

Robust portfolio selection based on a multi-stage scenario tree

13 years 10 months ago
Robust portfolio selection based on a multi-stage scenario tree
The aim of this paper is to apply the concept of robust optimization introduced by Bel-Tal and Nemirovski to the portfolio selection problems based on multi-stage scenario trees. The objective of our portfolio selection is to maximize an expected utility function value (or equivalently, to minimize an expected disutility function value) as in a classical stochastic programming problem, except that we allow for ambiguities to exist in the probability distributions along the scenario tree. We show that such a problem can be formulated as a finite convex program in the conic form, on which general convex optimization techniques can be applied. In particular, if there is no short-selling, and the disutility function takes the form of semi-variance downside risk, and all the parameter ambiguity sets are ellipsoidal, then the problem becomes a second order cone program, thus tractable. We use SeDuMi to solve the resulting robust portfolio selection problem, and the simulation results show t...
Ruijun Shen, Shuzhong Zhang
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2008
Where EOR
Authors Ruijun Shen, Shuzhong Zhang
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