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Article: Optimal dividend and capital injection problem in the dual model with proportional and fixed transaction costs
Title | Optimal dividend and capital injection problem in the dual model with proportional and fixed transaction costs | ||||||||||||
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Authors | |||||||||||||
Keywords | Capital injections Control Dual insurance risk model Impulse control Optimal dividends Quasi-variational inequalities | ||||||||||||
Issue Date | 2011 | ||||||||||||
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/ejor | ||||||||||||
Citation | European Journal Of Operational Research, 2011, v. 211 n. 3, p. 568-576 How to Cite? | ||||||||||||
Abstract | In this paper we consider the dividend payments and capital injections control problem in a dual risk model. Such a model might be appropriate for a company that specializes in inventions and discoveries, which pays costs continuously and has occasional profits. The objective is to maximize the expected present value of the dividends minus the discounted costs of capital injections. This paper can be considered as an extension of Yao et al. (2010), we include fixed transaction costs incurred by capital injections in this paper. This leads to an impulse control problem. Using the techniques of quasi-variational inequalities (QVI), this optimal control problem is solved. Numerical solutions are provided to illustrate the idea and methodologies, and some interesting economic insights are included. © 2011 Elsevier B.V. All rights reserved. | ||||||||||||
Persistent Identifier | http://hdl.handle.net/10722/135500 | ||||||||||||
ISSN | 2023 Impact Factor: 6.0 2023 SCImago Journal Rankings: 2.321 | ||||||||||||
ISI Accession Number ID |
Funding Information: The authors thank two referees for their anonymous comments to improve the paper. This work was supported by the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. HKU 706209P), National Natural Science Foundation of China (10971068, 70871058), National Basic Research Program of China (973 Program) under Grant No. 2007CB814904 and Program for New Century Excellent Talents in University (NCET-09-0356), and the Fundamental Research Funds for the Central Universities and the Scientific Research Foundation of Nanjing University of Finance and Economics (A2010015). | ||||||||||||
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Grants |
DC Field | Value | Language |
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dc.contributor.author | Yao, D | en_HK |
dc.contributor.author | Yang, H | en_HK |
dc.contributor.author | Wang, R | en_HK |
dc.date.accessioned | 2011-07-27T01:36:07Z | - |
dc.date.available | 2011-07-27T01:36:07Z | - |
dc.date.issued | 2011 | en_HK |
dc.identifier.citation | European Journal Of Operational Research, 2011, v. 211 n. 3, p. 568-576 | en_HK |
dc.identifier.issn | 0377-2217 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/135500 | - |
dc.description.abstract | In this paper we consider the dividend payments and capital injections control problem in a dual risk model. Such a model might be appropriate for a company that specializes in inventions and discoveries, which pays costs continuously and has occasional profits. The objective is to maximize the expected present value of the dividends minus the discounted costs of capital injections. This paper can be considered as an extension of Yao et al. (2010), we include fixed transaction costs incurred by capital injections in this paper. This leads to an impulse control problem. Using the techniques of quasi-variational inequalities (QVI), this optimal control problem is solved. Numerical solutions are provided to illustrate the idea and methodologies, and some interesting economic insights are included. © 2011 Elsevier B.V. All rights reserved. | en_HK |
dc.language | eng | en_US |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/ejor | en_HK |
dc.relation.ispartof | European Journal of Operational Research | en_HK |
dc.subject | Capital injections | en_HK |
dc.subject | Control | en_HK |
dc.subject | Dual insurance risk model | en_HK |
dc.subject | Impulse control | en_HK |
dc.subject | Optimal dividends | en_HK |
dc.subject | Quasi-variational inequalities | en_HK |
dc.title | Optimal dividend and capital injection problem in the dual model with proportional and fixed transaction costs | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0377-2217&volume=211&issue=3&spage=568&epage=576&date=2011&atitle=Optimal+dividend+and+capital+injection+problem+in+the+dual+model+with+proportional+and+fixed+transaction+costs | en_US |
dc.identifier.email | Yang, H: hlyang@hku.hk | en_HK |
dc.identifier.authority | Yang, H=rp00826 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.ejor.2011.01.015 | en_HK |
dc.identifier.scopus | eid_2-s2.0-79952187704 | en_HK |
dc.identifier.hkuros | 187180 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-79952187704&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 211 | en_HK |
dc.identifier.issue | 3 | en_HK |
dc.identifier.spage | 568 | en_HK |
dc.identifier.epage | 576 | en_HK |
dc.identifier.isi | WOS:000288840800013 | - |
dc.publisher.place | Netherlands | en_HK |
dc.relation.project | Option Pricing and ALM in Regime Switching Models | - |
dc.identifier.scopusauthorid | Yao, D=17436591500 | en_HK |
dc.identifier.scopusauthorid | Yang, H=7406559537 | en_HK |
dc.identifier.scopusauthorid | Wang, R=7405334582 | en_HK |
dc.identifier.citeulike | 8669415 | - |
dc.identifier.issnl | 0377-2217 | - |