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Decision-making of portfolio investment with linear plus double exponential utility function∗∗∗

Published online by Cambridge University Press:  09 October 2013

Qingjian Zhou ,
Jia Jiao ,
Datian Niu  and
Deli Yang
Qingjian Zhou
Affiliation:
Institute of Systems Engineering, Dalian University of Technology, Dalian 116024, P.R. China. zhouqingjian68@163.com; somdyang@dlut.edu.cn College of Science, Dalian Nationalities University, Dalian 116600, P.R. China; jiaolinrui@yahoo.cn; niudt@dlnu.edu.cn
Jia Jiao
Affiliation:
College of Science, Dalian Nationalities University, Dalian 116600, P.R. China; jiaolinrui@yahoo.cn; niudt@dlnu.edu.cn
Datian Niu
Affiliation:
College of Science, Dalian Nationalities University, Dalian 116600, P.R. China; jiaolinrui@yahoo.cn; niudt@dlnu.edu.cn
Deli Yang
Affiliation:
Institute of Systems Engineering, Dalian University of Technology, Dalian 116024, P.R. China. zhouqingjian68@163.com; somdyang@dlut.edu.cn
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Abstract

This paper broadens the exponential utility function commonly used by risk-averse investors to the linear plus double exponential utility function, which is applicable in most cases. Thus it is of essential and supreme significance to conduct a research on its optimal investment portfolio in securities investment. This paper, by means of the non-difference curve method, carries out a research into the optimal portfolio decision-making by investors who have this type of utility function. The optimal decision-making and the ratio of optimal portfolio investment are derived. Finally, an actual case is given to verify the relevant results.

Keywords

Linear plus double exponential utility functionoptimal portfolioinvestment decision-makingnon-difference curve method
Type
Research Article
Information
RAIRO - Operations Research , Volume 47 , Issue 4 , September 2013 , pp. 361 - 370
Copyright
© EDP Sciences, ROADEF, SMAI, 2013

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References

He, X.H. and Chen, Y., Utility Function and Economic Agent: An Insight from Financial Economics. The Theory and Practice of Finance and Economics 155 (2008) 1–7. Google Scholar
Markowitiz, H., Portfolio selection. J. Finance 7 (1952) 77–91. Google Scholar
Operational Research, Tsinghua University Press, Beijing (2005).
W.F. Sharpe, G.J. Alexander and J.V. Bailey, Investments, 6th edn. Prentice-Hall International inc. New Jersey (1999).
Z.X. Ye and J.Z. Lin, Mathematic FinanceAsset Pricing and Finance Decision-making Theory. Science Press, Beijing (1998).
Y.T. Zhang, Statistic Analysis of Finance market, Guangxi Normal University Press, Guilin (1998).
Zhou, Q.J., Lv, S.Y. and Jiao, J., Decision-making of portfolio investment with double exponential utility function. J. Dalian University of Technology 51 (2011) 766–770. Google Scholar
Zhou, Q.J. and Zhang, K.Y., Research on Portfolio Investment with Linear plus Exponential Utility Function. Appl. Math. 17 (2004) 53–58. Google Scholar
Zhou, Q.J. and Wu, J.M., Two Methods of Optinal Portfolio Investment with Negative Exponential Utility Function and their Consistency. J. Dalian Nationalities University 6 (2004) 7–10. Google Scholar