2014/03/27 by Yuliya Mishura, Mishura, Yuliya, Mykola Perestyuk +3
Decision Sciences · Economics, Econometrics and Finance · Social Sciences · #60G46 (Secondary) #60H10 #91B30 (Primary) #FOS: Mathematics #Insurance and Financial Risk Management #Insurance, Mortality, Demography, Risk Management #Probability (math.PR) #Probability and Risk Models
paper · pdf · doi:10.48550/arxiv.1403.7150
openalex publication_date 2014/03/27 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
We consider a generalization of the classical risk model when the premium\nintensity depends on the current surplus of an insurance company. All surplus\nis invested in the risky asset, the price of which follows a geometric Brownian\nmotion. We get an exponential bound for the infinite-horizon ruin probability.\nTo this end, we allow the surplus process to explode and investigate the\nquestion concerning the probability of explosion of the surplus process between\nclaim arrivals.\n