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 function, optimal portfolio, investment decision-making, non-difference curve method
@article{RO_2013__47_4_361_0,
author = {Zhou, Qingjian and Jiao, Jia and Niu, Datian and Yang, Deli},
title = {Decision-making of portfolio investment with linear plus double exponential utility function},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {361--370},
year = {2013},
publisher = {EDP Sciences},
volume = {47},
number = {4},
doi = {10.1051/ro/2013043},
mrnumber = {3143758},
zbl = {1282.91315},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2013043/}
}
TY - JOUR AU - Zhou, Qingjian AU - Jiao, Jia AU - Niu, Datian AU - Yang, Deli TI - Decision-making of portfolio investment with linear plus double exponential utility function JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2013 SP - 361 EP - 370 VL - 47 IS - 4 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ro/2013043/ DO - 10.1051/ro/2013043 LA - en ID - RO_2013__47_4_361_0 ER -
%0 Journal Article %A Zhou, Qingjian %A Jiao, Jia %A Niu, Datian %A Yang, Deli %T Decision-making of portfolio investment with linear plus double exponential utility function %J RAIRO - Operations Research - Recherche Opérationnelle %D 2013 %P 361-370 %V 47 %N 4 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ro/2013043/ %R 10.1051/ro/2013043 %G en %F RO_2013__47_4_361_0
Zhou, Qingjian; Jiao, Jia; Niu, Datian; Yang, Deli. Decision-making of portfolio investment with linear plus double exponential utility function. RAIRO - Operations Research - Recherche Opérationnelle, Tome 47 (2013) no. 4, pp. 361-370. doi: 10.1051/ro/2013043
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