The gambler's ruin is usually presented as a repeated game where the gambler can either win or lose one unit. We … higher winning payoffs imply higher probabilities of ruin and lower average final wealth. The opposite results apply for … negative value games. For fair games with zero expected profit, probabilities of ruin are generally (but not always) close to …

ruin probabilities, the second employs the Gerber-Shiu function to evaluate the expected discounted penalty from financial …

probability of ruin of each of the two reserve processes before an exponentially distributed time along with the ruin times and … the undershoots and overshoots at ruin. …

We obtain the upper and lower bounds for the ruin probability in the Sparre-Andersen model. These bounds are … distribution belongs to certain aging classes. Additionally, we improve the Lundberg upper bound for the ruin probability. …

individuals to have a clear understanding of how long their pre-retirement savings will last. In this research, we employ a ruin … utilizing an advanced ruin model, we calculate the mean and the median time it takes for savings to be exhausted, the … rates, and the deficit at ruin if a retiree has used up all of their savings. We also account for gender as well as for the …