Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93891
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Guan, C | en_US |
dc.creator | Li, X | en_US |
dc.creator | Zhou, W | en_US |
dc.date.accessioned | 2022-08-03T01:24:06Z | - |
dc.date.available | 2022-08-03T01:24:06Z | - |
dc.identifier.uri | http://hdl.handle.net/10397/93891 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2020 Society for Industrial and Applied Mathematics | en_US |
dc.rights | The following publication Guan, C., Li, X., & Zhou, W. (2020). An optimal investment problem with nonsmooth and nonconcave utility over a finite time horizon. SIAM Journal on Financial Mathematics, 11(2), 411-436 is available at https://doi.org/10.1137/19M1273086 | en_US |
dc.subject | Dual transformation | en_US |
dc.subject | Nonconcave | en_US |
dc.subject | Nonsmooth | en_US |
dc.subject | Optimal investment | en_US |
dc.subject | Parabolic quasi-linear equation | en_US |
dc.title | An optimal investment problem with nonsmooth and nonconcave utility over a finite time horizon | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 411 | en_US |
dc.identifier.epage | 436 | en_US |
dc.identifier.volume | 11 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.doi | 10.1137/19M1273086 | en_US |
dcterms.abstract | In this paper, we study a class of optimal investment problems with a nonsmooth and nonconcave utility function, where the value function is the expected utility determined by the state process and time. We adopt partial differential equation methods to prove that the value function belongs to C2,1 under some proper conditions of the utility function. Moreover, we analyze the continuity of the optimal strategy and obtain some of its properties around the boundary and the terminal time. Also, an example sheds light on the theoretical results established. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on financial mathematics, 2020, v. 11, no. 2, p. 411-436 | en_US |
dcterms.isPartOf | SIAM journal on financial mathematics | en_US |
dcterms.issued | 2020 | - |
dc.identifier.scopus | 2-s2.0-85086123350 | - |
dc.identifier.eissn | 1945-497X | en_US |
dc.description.validate | 202208 bcfc | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | AMA-0180 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 23735532 | - |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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19m1273086.pdf | 791.85 kB | Adobe PDF | View/Open |
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