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Optimal Proportional Reinsurance and Ruin Probability toMaximize the Adjustment Coefficient——Diffusion-Approximation Risk Model(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2015年04期
Page:
47-
Research Field:
数学
Publishing date:

Info

Title:
Optimal Proportional Reinsurance and Ruin Probability toMaximize the Adjustment Coefficient——Diffusion-Approximation Risk Model
Author(s):
Hua Ting1Liang Zhibin2
(1.School of Mathematical Sciences and Chemical Engineering,Changzhou Institute of Technology,Changzhou 213002,China)(2.School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China)
Keywords:
adjustment coefficientdiffusion approximationproportional reinsuranceruin probability
PACS:
O211.63
DOI:
-
Abstract:
Using a different premium principle—mean-standard deviation premium principle,we solve the optimal reinsurance problem in the diffusion-approximation (D-A for short) case to maximize the adjustment coefficient. We derive the explicit expressions for the optimal proportional reinsurance strategy and the minimum ruin probability. In the end,some numerical examples are presented to show the impact of model parameters on the optimal strategies.

References:

[1]BROWNE S. Optimal investment policies for a firm with random risk process:exponential utility and minimizing the probability of ruin[J]. Mathematics of operations research,1995,20(4):937-958.
[2]SCHMIDLI H. Optimal proportional reinsurance policies in a dynamic setting[J]. Scandinavian actuarial journal,2001,1(1):55-68.
[3]SCHMIDLI H. On minimizing the ruin probability by investment and reinsurance[J]. Annals of applied probability,2002,12(3):890-907.
[4]GERBER H,SHIU E. Optimal dividends:analysis with Brownian motion[J]. North American actuarial journal,2004,8(1):1-20.
[5]CENTENO M L. Dependent risks and excess of loss reinsurance[J]. Insurance:mathematics and economics,2005,37(2):229-238.
[6]CENTENO M L,GUERRA M. The optimal reinsurance strategy—the individual claim case[J]. Insurance:mathematics and economics,2010,46(3):450-460.
[7]LIANG Z,GUO J. Optimal proportional reinsurance and ruin probability[J]. Stochastic models,2007,23(2):333-350.
[8]梁志彬,郭军义. 最优比例与超额损失组合再保险下的破产概率[J]. 数学学报(中文版),2010,53(5):857-870.
[9]华婷,梁志彬. 最大化调节系数的最优比例再保险和破产概率[J]. 南京师大学报(自然科学版),2014,37(2):23-27.
[10]GRANDELL J. Aspects of risk theory[M]. New York:Springer-Verlag,1991.
[11]DUFRESNE F,GERBER H. Risk theory for the compound Poisson process that is perturbed by diffusion[J]. Insurance:mathematics and economics,1991,10(1):51-59.
[12]ROLSKI T,SCHMIDLI H,SCHMIDT V,et al. Stochastic processes for insurance and finance[M]. New York:John Wiley and Sons,1999.
[13]LIANG Z,GUO J. Upper bound for ruin probabilities under optimal investment and proportional reinsurance[J]. Applied stochastic models in business and industry,2008,24(2):109-128.

Memo

Memo:
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Last Update: 2015-12-30