KMS Of Academy of mathematics and systems sciences, CAS
anadaptivelagrangianalgorithmforoptimalportfoliodeleveragingwithcrossimpact | |
Xu Fengmin1; Sun Min2; Dai Yuhong3![]() | |
2017 | |
Source Publication | journalofsystemsscienceandcomplexity
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ISSN | 1009-6124 |
Volume | 30Issue:5Pages:1121 |
Abstract | This paper considers the problem of optimal portfolio deleveraging, which is a crucial problem in finance. Taking the permanent and temporary price cross-impact into account, the authors establish a quadratic program with box constraints and a singly quadratic constraint. Under some assumptions, the authors give an optimal trading priority and show that the optimal solution must be achieved when the quadratic constraint is active. Further, the authors propose an adaptive Lagrangian algorithm for the model,where a piecewise quadratic root-finding method is used to find the Lagrangian multiplier. The convergence of the algorithm is established. The authors also present some numerical results,which show the usefulness of the algorithm and validate the optimal trading priority. |
Language | 英语 |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/42235 |
Collection | 计算数学与科学工程计算研究所 |
Affiliation | 1.School of Economics and Finance,Xi'an Jiaotong University 2.西安交通大学 3.中国科学院数学与系统科学研究院 |
Recommended Citation GB/T 7714 | Xu Fengmin,Sun Min,Dai Yuhong. anadaptivelagrangianalgorithmforoptimalportfoliodeleveragingwithcrossimpact[J]. journalofsystemsscienceandcomplexity,2017,30(5):1121. |
APA | Xu Fengmin,Sun Min,&Dai Yuhong.(2017).anadaptivelagrangianalgorithmforoptimalportfoliodeleveragingwithcrossimpact.journalofsystemsscienceandcomplexity,30(5),1121. |
MLA | Xu Fengmin,et al."anadaptivelagrangianalgorithmforoptimalportfoliodeleveragingwithcrossimpact".journalofsystemsscienceandcomplexity 30.5(2017):1121. |
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