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Article: On the joint analysis of the total discounted payments to policyholders and shareholders: Threshold dividend strategy
Title | On the joint analysis of the total discounted payments to policyholders and shareholders: Threshold dividend strategy |
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Authors | |
Issue Date | 2016 |
Publisher | Cambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=AAS |
Citation | Annals of Actuarial Science, 2016, v. 10 n. 2, p. 236-269 How to Cite? |
Abstract | In insurance risk theory, dividend and aggregate claim amount are of great research interest as they represent the insurance company's payments to its shareholders and policyholders respectively. Since the analyses of these two quantities are performed separately in the literature, the companion paper Cheung et al. (2015) generalized the Gerber-Shiu expected discounted penalty function (Gerber and Shiu (1998)) by further incorporating the moments of the aggregate discounted claims until ruin and the discounted dividends until ruin. While Cheung et al. (2015) considered the compound Poisson model with a dividend barrier in which ruin occurs almost surely, the present paper looks at this generalized Gerber-Shiu function under a threshold dividend strategy where the insurer has a positive survival probability. Because the Gerber-Shiu function is only defined for sample paths leading to ruin, we will additionally study the joint moments of the aggregate discounted claims and the discounted dividends without ruin occurring. Some explicit formulas are derived when the individual claim distribution follows a combination of exponentials. Numerical illustrations involving the correlation between aggregate discounted claims and discounted dividends are given. For the case where ruin occurs, we additionally compute the correlations between the time of ruin and the above two quantities. |
Persistent Identifier | http://hdl.handle.net/10722/229477 |
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 0.730 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Cheung, ECK | - |
dc.contributor.author | Liu, H | - |
dc.date.accessioned | 2016-08-23T14:11:23Z | - |
dc.date.available | 2016-08-23T14:11:23Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | Annals of Actuarial Science, 2016, v. 10 n. 2, p. 236-269 | - |
dc.identifier.issn | 1748-4995 | - |
dc.identifier.uri | http://hdl.handle.net/10722/229477 | - |
dc.description.abstract | In insurance risk theory, dividend and aggregate claim amount are of great research interest as they represent the insurance company's payments to its shareholders and policyholders respectively. Since the analyses of these two quantities are performed separately in the literature, the companion paper Cheung et al. (2015) generalized the Gerber-Shiu expected discounted penalty function (Gerber and Shiu (1998)) by further incorporating the moments of the aggregate discounted claims until ruin and the discounted dividends until ruin. While Cheung et al. (2015) considered the compound Poisson model with a dividend barrier in which ruin occurs almost surely, the present paper looks at this generalized Gerber-Shiu function under a threshold dividend strategy where the insurer has a positive survival probability. Because the Gerber-Shiu function is only defined for sample paths leading to ruin, we will additionally study the joint moments of the aggregate discounted claims and the discounted dividends without ruin occurring. Some explicit formulas are derived when the individual claim distribution follows a combination of exponentials. Numerical illustrations involving the correlation between aggregate discounted claims and discounted dividends are given. For the case where ruin occurs, we additionally compute the correlations between the time of ruin and the above two quantities. | - |
dc.language | eng | - |
dc.publisher | Cambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=AAS | - |
dc.relation.ispartof | Annals of Actuarial Science | - |
dc.rights | Annals of Actuarial Science. Copyright © Cambridge University Press. | - |
dc.title | On the joint analysis of the total discounted payments to policyholders and shareholders: Threshold dividend strategy | - |
dc.type | Article | - |
dc.identifier.email | Cheung, ECK: eckc@hku.hk | - |
dc.identifier.authority | Cheung, ECK=rp01423 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1017/S1748499516000075 | - |
dc.identifier.hkuros | 259928 | - |
dc.identifier.volume | 10 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 236 | - |
dc.identifier.epage | 269 | - |
dc.identifier.isi | WOS:000383191000004 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 1748-4995 | - |