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Abstract and Applied Analysis - Volume 2014 2014, Article ID 426036, 12 pages -

Research ArticleQilu Securities Institute for Financial Studies, Shandong University, Jinan, Shandong 250100, China

Received 28 November 2013; Accepted 1 February 2014; Published 13 March 2014

Academic Editor: Litan Yan

Copyright © 2014 Li Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper solves the optimal portfolio selection model under the framework of the prospect theory proposed by Kahneman and Tversky in the 1970s with decision rule replaced by the -expectation introduced by Peng. This model was established in the general continuous time setting and firstly adopted the -expectation to replace Choquet expectation adopted in the work of Jin and Zhou, 2008. Using different S-shaped utility functions and-functions to represent the investors- different uncertainty attitudes towards losses and gains makes the model not only more realistic but also more difficult to deal with. Although the models are mathematicallycomplicated and sophisticated, the optimal solution turns out to be surprisingly simple, the payoff of a portfolio of two binary claims. Also I give the economic meaning of my model and the comparison with that one in the work of Jin and Zhou, 2008.

Autor: Li Li



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