2020/01/28 by Grigori Jasnovidov, Jasnovidov, Grigori
Decision Sciences · Social Sciences · Economics, Econometrics and Finance · #Probability and Risk Models #Insurance, Mortality, Demography, Risk Management #Financial Risk and Volatility Modeling
paper · pdf · doi:10.48550/arxiv.2001.10311
We analyze the classical Brownian risk models discussing the approximation of\nruin probabilities (classical, \γ-reflected, Parisian and cumulative\nParisian) for the case that ruin can occur only on specific discrete grids. A\npractical and natural grid of points is for instance G(1) = 0,1,2,..., which\nallows us to study the probability of the ruin on the first day, second day,\nand so one. For such a discrete setting, there are no explicit formulas for the\nruin probabilities mentioned above. In this contribution we derive accurate\napproximations of ruin probabilities for uniform grids by letting the initial\ncapital to grow to infinity.\n