|Table of Contents|

[1] Zhong Liming, Liu Hailong, Wu Chongfeng,. Optimal control strategy of institutional investor’s execution cost [J]. Journal of Southeast University (English Edition), 2004, 20 (2): 240-244. [doi:10.3969/j.issn.1003-7985.2004.02.024]
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Optimal control strategy of institutional investor’s execution cost()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
20
Issue:
2004 2
Page:
240-244
Research Field:
Economy and Management
Publishing date:
2004-06-30

Info

Title:
Optimal control strategy of institutional investor’s execution cost
Author(s):
Zhong Liming Liu Hailong Wu Chongfeng
School of Management, Shanghai Jiaotong University, Shanghai 200052, China
Keywords:
liquidation execution cost optimal control
PACS:
F830
DOI:
10.3969/j.issn.1003-7985.2004.02.024
Abstract:
Optimal control of multi-assets liquidation in view of volatility risk was studied. The analytical solution of optimal strategy was achieved with the calculus of variation. Numerical examples and graphical illustrations were also given. The conclusion shows that the optimal strategy is the linear combination of time’s hyperbolic sine and hyperbolic cosine. The investor’s attitude towards risk can influence the optimal strategy. In order to avoid the uncertainty of the execution cost, the investor with high risk aversion liquidates assets rapidly in the early period. The decrease of liquidation loss is at the cost of the increase of the volatility level.

References:

[1] NYSE. Fact book 2001[R]. New York: NYSE, 2001.
[2] Kraus A, Stoll H R. Price impacts of block trading on the New York Stock Exchange [J]. Journal of Finance, 1972, 27(2): 569-588.
[3] Keim D, Madhavan A. The upstairs market for large-block transactions: analysis and measurement of price effects [J]. Review of Financial Studies, 1996, 9(1): 1-36.
[4] Chan L, Lakonishok J. The behavior of stock prices around institutional trades [J]. Journal of Finance, 1995, 50(4): 1147-1174.
[5] Perold A. The implementation shortfall: paper versus reality [J]. Journal of Portfolio Management, 1988, 14(1): 4-9.
[6] Bertsimas D, Lo A W. Optimal control of execution costs [J]. Journal of Financial Markets, 1998, 1(1): 1-50.
[7] Almgren R, Chriss N. Optimal execution of portfolio transactions[J]. Journal of Risk, 2000, 3(1), 5-39.
[8] Almgren R. Optimal execution with nonlinear impact functions and trading-enhanced risk [J]. Applied Mathematical Finance, 2003, 10(1): 1-18.
[9] Huberman G, Stanzl W. Optimal liquidity trading [R]. Northwestern University, working paper, 2001.
[10] Sadka R. Momentum, liquidity risk and limit to arbitrage [R]. Northwestern University, working paper, 2003.

Memo

Memo:
Biographies: Zhong Liming(1976—), male, graduate; Liu Hailong(corresponding author), male, professor, hlliu@sjtu.edu.cn.
Last Update: 2004-06-20