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Robust Portfolio Selection Based on a Multi-stage Scenario Tree by Ruijun Shen; Shuzhong Zhang is a Engineering article available to read on EtoBox.

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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 that the robust consideration helps to reduce the variability of the optimal values caused by the parameter ambiguity.

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Author

Ruijun Shen; Shuzhong Zhang

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-2217)

Published

2008

Language

EN

Field

Engineering (Physical Sciences)