A Goal Programming Model for Optimal Portfolio Diversification

Economy – Quantitative Finance – Portfolio Management

Scientific paper

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Scientific paper

We present a goal programming model for risk minimization of a financial portfolio managed by an agent subject to different possible criteria. We extend the classical risk minimization model with scalar risk measures to general case of set-valued risk measure. The problem we obtain is a set-valued optimization program and we propose a goal programming-based approach to obtain a solution which represents the best compromise between goals and the achievement levels. Numerical examples are provided to illustrate how the method works in practical situations.

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