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Multi-period mean–variance portfolio optimization based on Monte-Carlo simulation

F. Cong and Cornelis Oosterlee

Journal of Economic Dynamics and Control, 2016, vol. 64, issue C, 23-38

Abstract: We propose a simulation-based approach for solving the constrained dynamic mean–variance portfolio management problem. For this dynamic optimization problem, we first consider a sub-optimal strategy, called the multi-stage strategy, which can be utilized in a forward fashion. Then, based on this fast yet sub-optimal strategy, we propose a backward recursive programming approach to improve it. We design the backward recursion algorithm such that the result is guaranteed to converge to a solution, which is at least as good as the one generated by the multi-stage strategy. In our numerical tests, highly satisfactory asset allocations are obtained for dynamic portfolio management problems with realistic constraints on the control variables.

Keywords: Dynamic portfolio management; Mean–variance optimization; Constrained optimization; Simulation method; Least squares regression (search for similar items in EconPapers)
JEL-codes: C61 C63 G11 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (20)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:dyncon:v:64:y:2016:i:c:p:23-38

DOI: 10.1016/j.jedc.2016.01.001

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Journal of Economic Dynamics and Control is currently edited by J. Bullard, C. Chiarella, H. Dawid, C. H. Hommes, P. Klein and C. Otrok

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