On the Markov-dependent risk model with tax

被引:0
|
作者
PENG Xingchun [1 ]
WANG Wenyuan [2 ]
HU Yijun [3 ]
机构
[1] Department of Statistics, Wuhan University of Technology
[2] School of Mathematical Sciences, Xiamen University
[3] School of Mathematics and Statistics, Wuhan
关键词
D O I
暂无
中图分类号
F810.42 [税收]; F224 [经济数学方法];
学科分类号
0701 ; 070104 ;
摘要
In this paper we consider the Markov-dependent risk model with tax payments in which the claim occurrence, the claim amount as well as the tax rate are controlled by an irreducible discrete-time Markov chainSystems of integro-differential equations satisfied by the expected discounted tax payments and the non-ruin probability in terms of the ruin probabilities under the Markov-dependent risk model without tax are establishedThe analytical solutions of the systems of integro-differential equations are also obtained by the iteration method.
引用
收藏
页码:187 / 196
页数:10
相关论文
共 50 条
  • [1] On the Markov-dependent risk model with tax
    Xing-chun Peng
    Wen-yuan Wang
    Yi-jun Hu
    Applied Mathematics-A Journal of Chinese Universities, 2015, 30 : 187 - 196
  • [2] On the Markov-dependent risk model with tax
    PENG Xing-chun
    WANG Wen-yuan
    HU Yi-jun
    Applied Mathematics:A Journal of Chinese Universities, 2015, (02) : 187 - 196
  • [3] On the Markov-dependent risk model with tax
    Peng Xing-chun
    Wang Wen-yuan
    Hu Yi-jun
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2015, 30 (02) : 187 - 196
  • [4] Severity of Ruin in a Markov-Dependent Risk Model
    LIU Juan1
    2. School of Mathematics and Statistics
    WuhanUniversityJournalofNaturalSciences, 2009, 14 (06) : 470 - 474
  • [6] On the discounted penalty function in a Markov-dependent risk model
    Albrecher, H
    Boxma, OJ
    INSURANCE MATHEMATICS & ECONOMICS, 2005, 37 (03): : 650 - 672
  • [8] Markov-dependent risk model with multi-layer dividend strategy
    Zhou, Zhongbao
    Xiao, Helu
    Deng, Yingchun
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 252 : 273 - 286
  • [9] Nuclear Catastrophe Risk Bonds in a Markov-Dependent Environment
    Shao, Jia
    Pantelous, Athanasios A.
    Ayyub, Bilal M.
    Chan, Stephen
    Nadarajah, Saralees
    ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS PART A-CIVIL ENGINEERING, 2017, 3 (04):
  • [10] ON THE EXPECTED DISCOUNTED PENALTY FUNCTION IN A MARKOV-DEPENDENT RISK MODEL WITH CONSTANT DIVIDEND BARRIER
    刘娟
    徐建成
    胡亦钧
    Acta Mathematica Scientia, 2010, 30 (05) : 1481 - 1491