Dynamic optimal portfolio with maximum absolute deviation model

Dynamic optimal portfolio with maximum absolute deviation model

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Article ID: iaor20124149
Volume: 53
Issue: 2
Start Page Number: 363
End Page Number: 380
Publication Date: Jun 2012
Journal: Journal of Global Optimization
Authors: ,
Keywords: programming: dynamic, risk
Abstract:

In this paper, a new dynamic portfolio selection model is established. Different from original consideration that risk is defined as the variance of terminal wealth, the total risk is defined as the average of the sum of maximum absolute deviation of all assets in all periods. At the same time, noticing that the risk during the period is so high that the investor may go bankrupt, a maximum risk level is given to control risk in every period. By introducing an auxiliary problem, the optimal strategy is deduced via the dynamic programming method.

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