Robust portfolio selection with a combined WCVaR and factor model
Ke Ruan Masao Fukushima
Journal of Industrial & Management Optimization 2012, 8(2): 343-362 doi: 10.3934/jimo.2012.8.343
In this paper, a portfolio selection model with a combined Worst-Case Conditional Value-at-Risk (WCVaR) and Multi-Factor Model is proposed. It is shown that the probability distributions in the definition of WCVaR can be determined by specifying the mean vectors under the assumption of multivariate normal distribution with a fixed variance-covariance matrix. The WCVaR minimization problem is then reformulated as a linear programming problem. In our numerical experiments, to compare the proposed model with the traditional mean variance model, we solve the two models using the real market data and present the efficient frontiers to illustrate the difference. The comparison reveals that the WCVaR minimization model is more robust than the traditional one in a market recession period and it can be used in a long-term investment.
keywords: linear programming. multi-factor model Portfolio selection worst-case conditional value-at-risk

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