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http://hdl.handle.net/10397/79804
Title: | Optimal stopping investment in a logarithmic utility-based portfolio selection problem | Authors: | Li, X Wu, XP Zhou, WX |
Issue Date: | 2017 | Source: | Financial innovation, Dec. 2017, v. 3, no. 1, 28, p. 1-10 | Abstract: | Background: In this paper, we study the right time for an investor to stop the investment over a given investment horizon so as to obtain as close to the highest possible wealth as possible, according to a Logarithmic utility-maximization objective involving the portfolio in the drift and volatility terms. The problem is formulated as an optimal stopping problem, although it is non-standard in the sense that the maximum wealth involved is not adapted to the information generated over time. Methods: By delicate stochastic analysis, the problem is converted to a standard optimal stopping one involving adapted processes. Results: Numerical examples shed light on the efficiency of the theoretical results. Conclusion: Our investment problem, which includes the portfolio in the drift and volatility terms of the dynamic systems, makes the problem including multi-dimensional financial assets more realistic and meaningful. |
Keywords: | Optimal stopping Path-dependent Stochastic differential equation (SDE) Time-change Portfolio selection |
Publisher: | Springer | Journal: | Financial innovation | EISSN: | 2199-4730 | DOI: | 10.1186/s40854-017-0080-y | Rights: | The Author(s). 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, andreproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to theCreative Commons license, and indicate if changes were made. The following publication Li, X., Wu, X. P., & Zhou, W. X. (2017). Optimal stopping investment in a logarithmic utility-based portfolio selection problem. Financial Innovation, 3(1), 28, 1-10 is available at https://dx.doi.org/10.1186/s40854-017-0080-y |
Appears in Collections: | Journal/Magazine Article |
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