Continuous-Time Portfolio Optimisation for a Behavioural Investor with Bounded Utility on Gains
Dublin Core | PKP Metadata Items | Metadata for this Document | |
1. | Title | Title of document | Continuous-Time Portfolio Optimisation for a Behavioural Investor with Bounded Utility on Gains |
2. | Creator | Author's name, affiliation, country | Miklós Rásonyi; Alfréd Rényi Institute of Mathematics and University of Edinburgh; Hungary |
2. | Creator | Author's name, affiliation, country | Andrea Sofia Meireles Rodrigues; University of Edinburgh; United Kingdom |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | Behavioural finance ; Bounded utility ; Choquet integral ; Continuous-time models ; Market completeness ; Non-concave utility ; Optimal portfolio ; Probability distortion. |
3. | Subject | Subject classification | Primary 91G10, Secondary 49J55 ; 60H30 ; 93E20. |
4. | Description | Abstract | This paper examines an optimal investment problem in a continuous-time (essentially) complete financial market with a finite horizon. We deal with an investor who behaves consistently with principles of Cumulative Prospect Theory, and whose utility function on gains is bounded above. The well-posedness of the optimisation problemis trivial, and a necessary condition for the existence of an optimal trading strategyis derived. This condition requires that the investor’s probability distortion function on losses does not tend to 0 near 0 faster than a given rate, which is determined by the utility function. Under additional assumptions, we show that this condition is indeed the borderline for attainability, in the sense that for slower convergence of the distortion function there does exist an optimal portfolio. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | FCT - Fundação para a Ciência e Tecnologia (Portuguese Foundation for Science and Technology) |
7. | Date | (YYYY-MM-DD) | 2014-06-23 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ecp.ejpecp.org/article/view/2990 |
10. | Identifier | Digital Object Identifier | 10.1214/ECP.v19-2990 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Communications in Probability; Vol 19 |
12. | Language | English=en | en |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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