Continuous-time behavioral portfolio selection

This paper formulates and studies a general continuous-time behavioral portfolio selection model under Kahneman and Tversky's (cumulative) prospect theory, featuring S-shaped utility (value) functions and probability distortions. The optimal terminal wealth positions, derived in fairly explicit...

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Main Authors: Jin, H, Zhou, X
Format: Journal article
Language:English
Published: 2008
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author Jin, H
Zhou, X
author_facet Jin, H
Zhou, X
author_sort Jin, H
collection OXFORD
description This paper formulates and studies a general continuous-time behavioral portfolio selection model under Kahneman and Tversky's (cumulative) prospect theory, featuring S-shaped utility (value) functions and probability distortions. The optimal terminal wealth positions, derived in fairly explicit forms, possess surprisingly simple structure: they resemble the payoff of a portfolio of two binary (or digital) options written on the state density price. An example with a two-piece CRRA utility is presented to illustrate the general results obtained, and is solved completely for all installations of the parameters. The effect of the behavioral criterion on the risky allocations is finally discussed. © 2008 IEEE.
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spelling oxford-uuid:df507dc0-2b99-4c8a-8d29-8ec38711aa522022-03-27T09:38:31ZContinuous-time behavioral portfolio selectionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:df507dc0-2b99-4c8a-8d29-8ec38711aa52EnglishSymplectic Elements at Oxford2008Jin, HZhou, XThis paper formulates and studies a general continuous-time behavioral portfolio selection model under Kahneman and Tversky's (cumulative) prospect theory, featuring S-shaped utility (value) functions and probability distortions. The optimal terminal wealth positions, derived in fairly explicit forms, possess surprisingly simple structure: they resemble the payoff of a portfolio of two binary (or digital) options written on the state density price. An example with a two-piece CRRA utility is presented to illustrate the general results obtained, and is solved completely for all installations of the parameters. The effect of the behavioral criterion on the risky allocations is finally discussed. © 2008 IEEE.
spellingShingle Jin, H
Zhou, X
Continuous-time behavioral portfolio selection
title Continuous-time behavioral portfolio selection
title_full Continuous-time behavioral portfolio selection
title_fullStr Continuous-time behavioral portfolio selection
title_full_unstemmed Continuous-time behavioral portfolio selection
title_short Continuous-time behavioral portfolio selection
title_sort continuous time behavioral portfolio selection
work_keys_str_mv AT jinh continuoustimebehavioralportfolioselection
AT zhoux continuoustimebehavioralportfolioselection