A Class of Optimal Portfolio Liquidation Problems with a Linear Decreasing Impact
Joint Authors
Yin, Zheng
Ma, Jiangming
Chen, Hongjing
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-04-26
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A problem of an optimal liquidation is investigated by using the Almgren-Chriss market impact model on the background that the n agents liquidate assets completely.
The impact of market is divided into three components: unaffected price process, permanent impact, and temporary impact.
The key element is that the variable temporary market impact is analyzed.
When the temporary market impact is decreasing linearly, the optimal problem is described by a Nash equilibrium in finite time horizon.
The stochastic component of the price process is eliminated from the mean-variance.
Mathematically, the Nash equilibrium is considered as the second-order linear differential equation with variable coefficients.
We prove the existence and uniqueness of solutions for the differential equation with two boundaries and find the closed-form solutions in special situations.
The numerical examples and properties of the solution are given.
The corresponding finance phenomenon is interpreted.
American Psychological Association (APA)
Ma, Jiangming& Yin, Zheng& Chen, Hongjing. 2017. A Class of Optimal Portfolio Liquidation Problems with a Linear Decreasing Impact. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1190260
Modern Language Association (MLA)
Ma, Jiangming…[et al.]. A Class of Optimal Portfolio Liquidation Problems with a Linear Decreasing Impact. Mathematical Problems in Engineering No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1190260
American Medical Association (AMA)
Ma, Jiangming& Yin, Zheng& Chen, Hongjing. A Class of Optimal Portfolio Liquidation Problems with a Linear Decreasing Impact. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1190260
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190260