系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2011年
9期
1617~1627
,共null页
薛宏刚 张川 胡春萍 徐成贤
薛宏剛 張川 鬍春萍 徐成賢
설굉강 장천 호춘평 서성현
大宗交易 线性加凹交易费用 组合规模 分散化效应 分枝定界算法
大宗交易 線性加凹交易費用 組閤規模 分散化效應 分枝定界算法
대종교역 선성가요교역비용 조합규모 분산화효응 분지정계산법
block trading; linear and concave transaction cost; portfolio size; diversification effect; branch-bound algorithm
由于大宗交易下边际交易费用递减,因此用线性加凹的函数拟合实际交易费用函数,建立了均值-方差框架下的组合优化模型并给出了相应的求解算法.通过对恒生指数样本股的实证分析发现:考虑大宗交易的组合有效边缘介于线性交易费用和无交易费用的组合有效边缘之间;大宗交易稀释了"分散化降低风险"的效应;大宗交易下交易费用越大,相对于线性交易费用而言组合集中度越高.
由于大宗交易下邊際交易費用遞減,因此用線性加凹的函數擬閤實際交易費用函數,建立瞭均值-方差框架下的組閤優化模型併給齣瞭相應的求解算法.通過對恆生指數樣本股的實證分析髮現:攷慮大宗交易的組閤有效邊緣介于線性交易費用和無交易費用的組閤有效邊緣之間;大宗交易稀釋瞭"分散化降低風險"的效應;大宗交易下交易費用越大,相對于線性交易費用而言組閤集中度越高.
유우대종교역하변제교역비용체감,인차용선성가요적함수의합실제교역비용함수,건립료균치-방차광가하적조합우화모형병급출료상응적구해산법.통과대항생지수양본고적실증분석발현:고필대종교역적조합유효변연개우선성교역비용화무교역비용적조합유효변연지간;대종교역희석료"분산화강저풍험"적효응;대종교역하교역비용월대,상대우선성교역비용이언조합집중도월고.
In this paper,we consider the portfolio optimal problem under block trading.As the decrease of marginal transaction cost under block trading,we establish the mean-variance portfolio optimization model and the corresponding algorithm by means of fit transaction cost function with linear and concave form.Computational results are presented by considering the stocks involved in Hang Seng Index to show that:The efficient frontier under block trading is between that with linear transaction cost and without transaction cost;The investment risk can be eliminated by portfolio diversification,but the effect of that is dilute under block trading;In terms of linear transaction cost,the greater the transaction cost under block trading,the higher the portfolio concentration.