A diffusion perturbed risk process with Stochastic return on investments

被引:2
|
作者
Yin, CC
Chiu, SN [1 ]
机构
[1] Hong Kong Baptist Coll, Dept Math, Hong Kong, Hong Kong, Peoples R China
[2] Oufu Normal Univ, Dept Math, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
risk process; rime of ruin; ruin probability; Stochastic return;
D O I
10.1081/SAP-120028594
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A general risk model that allows for stochastic return on investments as well as perturbation by diffusion is studied. Integro-differential equations for the distributions of the time of ruin, the surplus prior to ruin and the deficit at ruin of this model are established. In particular, we consider a diffusion perturbed risk model with interest force in details.
引用
收藏
页码:341 / 353
页数:13
相关论文
共 50 条
  • [32] Ruin Probabilities and Penalty Functions for Risk Process Perturbed by Levy Diffusion
    Zhao Wu
    Wang Dingcheng
    Zeng Yong
    [J]. PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON PRODUCT INNOVATION MANAGEMENT, VOLS I AND II, 2009, : 1193 - 1198
  • [33] The Erlang (2) Risk Process Perturbed by Diffusion with Variable Premium Rate
    Gao Shan
    Liu Zaiming
    [J]. DATA PROCESSING AND QUANTITATIVE ECONOMY MODELING, 2010, : 503 - 507
  • [34] Optimal Proportional Reinsurance for Controlled Risk Process which is Perturbed by Diffusion
    Zhi-bin Liang
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2007, 23 : 477 - 488
  • [35] TANGIBLE ASSETS AS INVESTMENTS - A RISK AND RETURN ANALYSIS
    FERRIS, SP
    MAKHIJA, AK
    [J]. AKRON BUSINESS AND ECONOMIC REVIEW, 1987, 18 (03): : 115 - 128
  • [36] Capital investments in the agricultural sector - return and risk
    Fraunhoffer, Robert
    Schiereck, Dirk
    Stimeier, Sergej
    [J]. BERICHTE UBER LANDWIRTSCHAFT, 2013, 91 (02):
  • [37] Evaluating IT Fashion Investments regarding Risk and Return
    Moser, Florian
    [J]. AMCIS 2011 PROCEEDINGS, 2011,
  • [38] The Dividend Problems for Compound Binomial Model with Stochastic Return on Investments
    Tan, Jiyang
    Yang, Xiangqun
    Zhang, Youcai
    Liu, Shaoyue
    [J]. NONLINEAR MATHEMATICS FOR UNCERTAINTY AND ITS APPLICATIONS, 2011, 100 : 239 - +
  • [39] On the moments of the surplus process perturbed by diffusion
    Tsai, CCL
    Willmot, GE
    [J]. INSURANCE MATHEMATICS & ECONOMICS, 2002, 31 (03): : 327 - 350
  • [40] The expectation of aggregate discounted dividends for a Sparre Anderson risk process perturbed by diffusion
    Meng, Hui
    Zhang, Chunsheng
    Wu, Rong
    [J]. APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 2007, 23 (04) : 273 - 291