On a Discrete-Time Risk Model with Random Income and a Constant Dividend Barrier | Zendy

Zhenhua Bao | Zendy; Junqing Huang | Zendy; Jing Wang | Zendy

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On a Discrete-Time Risk Model with Random Income and a Constant Dividend Barrier

Author(s) -

Zhenhua Bao,

Junqing Huang,

Jing Wang

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5575187

Subject(s) - dividend , mathematics , constant (computer programming) , discrete time and continuous time , econometrics , actuarial science , mathematical economics , statistics , economics , computer science , finance , programming language

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 b b > 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.

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