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題名 Sparse Weighted-Norm Minimum Variance Portfolios
作者 顏佑銘
Yu-MinYen
貢獻者 國貿系
日期 2015
上傳時間 29-Oct-2015 18:16:08 (UTC+8)
摘要 We propose to impose a weighted l1 and squared l2 norm penalty on the portfolio weights to improve out-of-sample (OOS) performances of portfolio optimization when the number of assets becomes large. We show that under certain conditions, the realized risk of the optimal minimum variance portfolio (MVP) obtained from the strategy can asymptotically be lower than those of benchmark portfolios with a high probability. Our theoretical results imply that penalty parameters for the weighted-norm penalty can be specified as a simple function of the number of assets and sample size. With the theoretical results, we also develop an automatic calibration procedure for choosing the penalty parameters. We demonstrate superior OOS performances of the weighted-norm MVP with two real data sets. Finally, we propose several alternative norm penalties and show that their OOS performances are comparable to the weighted-norm strategy.
關聯 Review of Finance
資料類型 article
dc.contributor 國貿系
dc.creator (作者) 顏佑銘zh_TW
dc.creator (作者) Yu-MinYen
dc.date (日期) 2015
dc.date.accessioned 29-Oct-2015 18:16:08 (UTC+8)-
dc.date.available 29-Oct-2015 18:16:08 (UTC+8)-
dc.date.issued (上傳時間) 29-Oct-2015 18:16:08 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/79090-
dc.description.abstract (摘要) We propose to impose a weighted l1 and squared l2 norm penalty on the portfolio weights to improve out-of-sample (OOS) performances of portfolio optimization when the number of assets becomes large. We show that under certain conditions, the realized risk of the optimal minimum variance portfolio (MVP) obtained from the strategy can asymptotically be lower than those of benchmark portfolios with a high probability. Our theoretical results imply that penalty parameters for the weighted-norm penalty can be specified as a simple function of the number of assets and sample size. With the theoretical results, we also develop an automatic calibration procedure for choosing the penalty parameters. We demonstrate superior OOS performances of the weighted-norm MVP with two real data sets. Finally, we propose several alternative norm penalties and show that their OOS performances are comparable to the weighted-norm strategy.
dc.format.extent 138 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Review of Finance
dc.title (題名) Sparse Weighted-Norm Minimum Variance Portfolios
dc.type (資料類型) articleen