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Article: Least-squares Monte-Carlo methods for optimal stopping investment under CEV models

TitleLeast-squares Monte-Carlo methods for optimal stopping investment under CEV models
Authors
KeywordsCEV model
Dual control approach
Monte-Carlo methods
Optimal investment
Optimal stopping
Issue Date2020
Citation
Quantitative Finance, 2020, v. 20, n. 7, p. 1199-1211 How to Cite?
AbstractThe optimal stopping investment is a kind of mixed expected utility maximization problems with optimal stopping time. The aim of this paper is to develop the least-squares Monte-Carlo methods to solve the optimal stopping investment under the constant elasticity of variance (CEV) model. Such a problem has no closed-form solutions for the value functions, optimal strategies and optimal exercise boundaries due to the early exercised feature. The dual optimal stopping problem is first derived and then the strong duality between the dual and prime problems is established. The least-squares Monte-Carlo methods based on the dual control theory are developed and numerical simulations are provided. Both the power and non-HARA utilities are studied.
Persistent Identifierhttp://hdl.handle.net/10722/327713
ISSN
2023 Impact Factor: 1.5
2023 SCImago Journal Rankings: 0.705
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorMa, Jingtang-
dc.contributor.authorLu, Zhengyang-
dc.contributor.authorLi, Wenyuan-
dc.contributor.authorXing, Jie-
dc.date.accessioned2023-04-24T05:09:26Z-
dc.date.available2023-04-24T05:09:26Z-
dc.date.issued2020-
dc.identifier.citationQuantitative Finance, 2020, v. 20, n. 7, p. 1199-1211-
dc.identifier.issn1469-7688-
dc.identifier.urihttp://hdl.handle.net/10722/327713-
dc.description.abstractThe optimal stopping investment is a kind of mixed expected utility maximization problems with optimal stopping time. The aim of this paper is to develop the least-squares Monte-Carlo methods to solve the optimal stopping investment under the constant elasticity of variance (CEV) model. Such a problem has no closed-form solutions for the value functions, optimal strategies and optimal exercise boundaries due to the early exercised feature. The dual optimal stopping problem is first derived and then the strong duality between the dual and prime problems is established. The least-squares Monte-Carlo methods based on the dual control theory are developed and numerical simulations are provided. Both the power and non-HARA utilities are studied.-
dc.languageeng-
dc.relation.ispartofQuantitative Finance-
dc.subjectCEV model-
dc.subjectDual control approach-
dc.subjectMonte-Carlo methods-
dc.subjectOptimal investment-
dc.subjectOptimal stopping-
dc.titleLeast-squares Monte-Carlo methods for optimal stopping investment under CEV models-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1080/14697688.2020.1736325-
dc.identifier.scopuseid_2-s2.0-85083588549-
dc.identifier.volume20-
dc.identifier.issue7-
dc.identifier.spage1199-
dc.identifier.epage1211-
dc.identifier.eissn1469-7696-
dc.identifier.isiWOS:000526475000001-

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