Portfolio Selection under Distributional Uncertainty: A Relative Robust CVaR in Portfolio Management

• Main Authors: Dashan HUANG, ZHU, Shushang, FABOZZI, Frank, FUKUSHIMA, Masao
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2010
• Subjects: Conditional value-at-risk; Worst-case conditional value-at-risk; Relative robust conditional value-at-risk; Portfolio selection problem; Linear programming; Finance and Financial Management; Portfolio and Security Analysis
• Online Access: https://ink.library.smu.edu.sg/lkcsb_research/4782; https://ink.library.smu.edu.sg/context/lkcsb_research/article/5781/viewcontent/HuangD_jejor2009_PortfolioSelectionDistUncertainity_PP.pdf
• Institution: Singapore Management University

Robust optimization, one of the most popular topics in the field of optimization and control since the late 1990s, deals with an optimization problem involving uncertain parameters. In this paper, we consider the relative robust conditional value-at-risk portfolio selection problem where the underlying probability distribution of portfolio return is only known to belong to a certain set. Our approach not only takes into account the worst-case scenarios of the uncertain distribution, but also pays attention to the best possible decision with respect to each realization of the distribution. We also illustrate how to construct a robust portfolio with multiple experts (priors) by solving a sequence of linear programs or a second-order cone program.