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題名 Solving Norm Constrained Portfolio Optimization via Coordinate-Wise Descent Algorithms
作者 顏佑銘
Yen, Yu-Min ;Yen, Tso-Jung
貢獻者 國貿系
關鍵詞 Minimum variance portfolio;Weighted norm constraint;Berhu penalty;Grouped portfolio selection
日期 2014-08
上傳時間 24-Nov-2014 14:16:43 (UTC+8)
摘要 A fast method based on coordinate-wise descent algorithms is developed to solve portfolio optimization problems in which asset weights are constrained by lqlq norms for 1≤q≤21≤q≤2. The method is first applied to solve a minimum variance portfolio (mvp) optimization problem in which asset weights are constrained by a weighted l1l1 norm and a squared l2l2 norm. Performances of the weighted norm penalized mvp are examined with two benchmark data sets. When the sample size is not large in comparison with the number of assets, the weighted norm penalized mvp tends to have a lower out-of-sample portfolio variance, lower turnover rate, fewer numbers of active constituents and shortsale positions, but higher Sharpe ratio than the one without such penalty. Several extensions of the proposed method are illustrated; in particular, an efficient algorithm for solving a portfolio optimization problem in which assets are allowed to be chosen grouply is derived.
關聯 Computational Statistics and Data Analysis, 76, 737-759
資料類型 article
DOI http://dx.doi.org/10.1016/j.csda.2013.07.010
dc.contributor 國貿系en_US
dc.creator (作者) 顏佑銘zh_TW
dc.creator (作者) Yen, Yu-Min ;Yen, Tso-Jungen_US
dc.date (日期) 2014-08en_US
dc.date.accessioned 24-Nov-2014 14:16:43 (UTC+8)-
dc.date.available 24-Nov-2014 14:16:43 (UTC+8)-
dc.date.issued (上傳時間) 24-Nov-2014 14:16:43 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/71616-
dc.description.abstract (摘要) A fast method based on coordinate-wise descent algorithms is developed to solve portfolio optimization problems in which asset weights are constrained by lqlq norms for 1≤q≤21≤q≤2. The method is first applied to solve a minimum variance portfolio (mvp) optimization problem in which asset weights are constrained by a weighted l1l1 norm and a squared l2l2 norm. Performances of the weighted norm penalized mvp are examined with two benchmark data sets. When the sample size is not large in comparison with the number of assets, the weighted norm penalized mvp tends to have a lower out-of-sample portfolio variance, lower turnover rate, fewer numbers of active constituents and shortsale positions, but higher Sharpe ratio than the one without such penalty. Several extensions of the proposed method are illustrated; in particular, an efficient algorithm for solving a portfolio optimization problem in which assets are allowed to be chosen grouply is derived.en_US
dc.format.extent 1673603 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Computational Statistics and Data Analysis, 76, 737-759en_US
dc.subject (關鍵詞) Minimum variance portfolio;Weighted norm constraint;Berhu penalty;Grouped portfolio selectionen_US
dc.title (題名) Solving Norm Constrained Portfolio Optimization via Coordinate-Wise Descent Algorithmsen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/j.csda.2013.07.010-
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.csda.2013.07.010-