On a Discrete-Time Risk Model with Random Income and a Constant Dividend Barrier
In this paper, a discrete-time risk model with random income and a constant dividend barrier is considered. Under such a dividend policy, once the insurer’s reserve hits the level bb>0, the excess of the reserve over b is paid off as dividends. We derive a homogeneous difference equation for the...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5575187 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849473419711610880 |
|---|---|
| author | Zhenhua Bao Junqing Huang Jing Wang |
| author_facet | Zhenhua Bao Junqing Huang Jing Wang |
| author_sort | Zhenhua Bao |
| collection | DOAJ |
| description | In this paper, a discrete-time risk model with random income and a constant dividend barrier is considered. Under such a dividend policy, once the insurer’s reserve hits the level bb>0, the excess of the reserve over b is paid off as dividends. We derive a homogeneous difference equation for the expected present value of dividend payments. Corresponding solution procedures for the difference equation are invested. Finally, we give a numerical example to illustrate the applicability of the results obtained. |
| format | Article |
| id | doaj-art-d2903be9468f4ac8ad99d7e3378008d5 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d2903be9468f4ac8ad99d7e3378008d52025-08-20T03:24:08ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55751875575187On a Discrete-Time Risk Model with Random Income and a Constant Dividend BarrierZhenhua Bao0Junqing Huang1Jing Wang2School of Mathematics, Liaoning Normal University, Dalian 116029, ChinaSchool of Mathematics, Liaoning Normal University, Dalian 116029, ChinaSchool of Mathematics, Liaoning Normal University, Dalian 116029, ChinaIn this paper, a discrete-time risk model with random income and a constant dividend barrier is considered. Under such a dividend policy, once the insurer’s reserve hits the level bb>0, the excess of the reserve over b is paid off as dividends. We derive a homogeneous difference equation for the expected present value of dividend payments. Corresponding solution procedures for the difference equation are invested. Finally, we give a numerical example to illustrate the applicability of the results obtained.http://dx.doi.org/10.1155/2021/5575187 |
| spellingShingle | Zhenhua Bao Junqing Huang Jing Wang On a Discrete-Time Risk Model with Random Income and a Constant Dividend Barrier Journal of Mathematics |
| title | On a Discrete-Time Risk Model with Random Income and a Constant Dividend Barrier |
| title_full | On a Discrete-Time Risk Model with Random Income and a Constant Dividend Barrier |
| title_fullStr | On a Discrete-Time Risk Model with Random Income and a Constant Dividend Barrier |
| title_full_unstemmed | On a Discrete-Time Risk Model with Random Income and a Constant Dividend Barrier |
| title_short | On a Discrete-Time Risk Model with Random Income and a Constant Dividend Barrier |
| title_sort | on a discrete time risk model with random income and a constant dividend barrier |
| url | http://dx.doi.org/10.1155/2021/5575187 |
| work_keys_str_mv | AT zhenhuabao onadiscretetimeriskmodelwithrandomincomeandaconstantdividendbarrier AT junqinghuang onadiscretetimeriskmodelwithrandomincomeandaconstantdividendbarrier AT jingwang onadiscretetimeriskmodelwithrandomincomeandaconstantdividendbarrier |