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A Stochastic-Goal Mixed-Integer Programming approach for integrated stock and bond portfolio optimization
Authors:Stephen J. Stoyan  Roy H. Kwon
Affiliation:aUniversity of Southern California, Daniel J. Epstein Department of Industrial and Systems Engineering, Los Angeles, CA, USA;bUniversity of Toronto, Department of Mechanical and Industrial Engineering, Toronto, ON, Canada
Abstract:We consider a Stochastic-Goal Mixed-Integer Programming (SGMIP) approach for an integrated stock and bond portfolio problem. The portfolio model integrates uncertainty in asset prices as well as several important real-world trading constraints. The resulting formulation is a structured large-scale problem that is solved using a model specific algorithm that consists of a decomposition, warm-start, and iterative procedure to minimize constraint violations. We present computational results and portfolio return values in comparison to a market performance measure. For many of the test cases the algorithm produces optimal solutions, where CPU time is improved greatly.
Keywords:Stochastic Programming   Goal Programming   Mixed-Integer Programming   Geographical decomposition
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